diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..37deb3320e168ef5e4dcc157eded990c5bd851ab --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE_postprocess.srt @@ -0,0 +1,2332 @@ +1 +00:00:10,020 --> 00:00:15,260 +زي ما حكينا اخر حاجة اخدناها هو هذا المثال و في + +2 +00:00:15,260 --> 00:00:18,980 +مثال فيه سؤال بس عشان كده انا بدي ابدأ فيه في سؤال + +3 +00:00:18,980 --> 00:00:24,040 +27 في الكتاب حاكي لو في طائرة هليكوبتر طول الريشة + +4 +00:00:24,040 --> 00:00:29,350 +تبعتها 3 مترو بتتحرك او بتلف ب 20 revolution per + +5 +00:00:29,350 --> 00:00:32,870 +second بتعمل عشان دورة في الثانية طبعا عشان دورة + +6 +00:00:32,870 --> 00:00:36,610 +في الثانية كتيرة يعني فيه سرعة و اعتبر بيه بتسوي + +7 +00:00:36,610 --> 00:00:40,310 +نص جاوس طبعا احنا بيه اتفقنا عليها ممكن تكون اقل + +8 +00:00:40,310 --> 00:00:44,760 +من كده كبير كتير بيه بتتفاوت تبقى تتكون ارضيةبتكون + +9 +00:00:44,760 --> 00:00:48,600 +أكبر ما يكون عند الأقطاب شباب لإن هي زي المغناطيس + +10 +00:00:48,600 --> 00:00:51,500 +عند القطب بتكون أكتر ما يكون و أقل ما يكون بتكون + +11 +00:00:51,500 --> 00:00:56,360 +عند خاطر السواق فبتتراوح بين 0.2 و 0.6 هنا فهو في + +12 +00:00:56,360 --> 00:00:59,020 +هذا المثال قال اعتبرها 0.5 فانا ماعرفش في غزة + +13 +00:00:59,020 --> 00:01:03,740 +بالظبط جديش ممكن تكون بس ممكن تكون 0.4تقريبا لكن + +14 +00:01:03,740 --> 00:01:07,840 +بدأ حسابات اما رجعتش للأرقام دلوقت لو هذه P كانت + +15 +00:01:07,840 --> 00:01:13,540 +نص جاوس يعني خمسين مايكرو تسلا وهذه Omega عبارة عن + +16 +00:01:13,540 --> 00:01:18,300 +عشرين evaluation per second وهذه L عبارة عن تلاتة + +17 +00:01:18,300 --> 00:01:21,640 +متر لو حسبت .. بقول هناك في السؤال سبعة وعشرين + +18 +00:01:21,640 --> 00:01:24,840 +حسبلي فرخ الجوات بين طرفي الريشة تبعتي الهيلوكبتر + +19 +00:01:24,840 --> 00:01:31,180 +فطلعت حوالي 0.0028 volt + +20 +00:01:35,640 --> 00:01:39,280 +الواحد لو مسكها بالكهرب اذا الواحد و نصف فورت مش + +21 +00:01:39,280 --> 00:01:46,660 +خطيرة فكيفها دى فحكينا انه من الشغلات اللى معروفة + +22 +00:01:46,660 --> 00:01:51,260 +انهالمجال المغناطيسي تبع القرى الأرضية برغم وجوده + +23 +00:01:51,260 --> 00:01:55,180 +لكن وجوده مايعملش الخطورة ومايعملش الخطورة اللى + +24 +00:01:55,180 --> 00:02:00,340 +ممكن تنوجد في أي حاجة طبيعية اذا كان طائرة ولا اي + +25 +00:02:00,340 --> 00:02:03,560 +حاجة تانية مجال المغناطيسي يعتبر صغير وبالتالي + +26 +00:02:03,560 --> 00:02:09,650 +تأثيره بكون قليل جداتمام طبعا لحد الان مصدر المجال + +27 +00:02:09,650 --> 00:02:13,210 +المغناطيسي عليه كلام لحد الان يعتبر شوية من الأثار + +28 +00:02:13,210 --> 00:02:16,570 +العلمية المجادرين بالظبط يفسروا ايش مصدر المجال + +29 +00:02:16,570 --> 00:02:20,530 +المغناطيسي لحد الان في تفسيرات كتيرة وفي تفسير + +30 +00:02:20,530 --> 00:02:24,430 +برغم تفسير مافيش تفسير منطقي ايش أوجد هذا المجال + +31 +00:02:24,430 --> 00:02:29,150 +المغناطيسي باقوال عرضية نفت الأثر على المواد + +32 +00:02:29,150 --> 00:02:33,710 +المغناطيسية؟أي مواد مثلا مثلا كانت plastic كانت + +33 +00:02:33,710 --> 00:02:36,510 +plastic طبعا شوف كل المواد حطها في مجال مراتيسي + +34 +00:02:36,510 --> 00:02:39,890 +بتتأثر بطريقة او باخره لكن المشكلة المواد احنا في + +35 +00:02:39,890 --> 00:02:42,130 +الشرطر اللي جابله في الشغلات اللي احنا جمناها لإنه + +36 +00:02:42,130 --> 00:02:45,130 +مش معنين فيها كيف بيجسم المواد إلى بره magnetic, + +37 +00:02:45,210 --> 00:02:49,640 +diamagnetic وferromagneticبطبيعة المادة حسب إيش + +38 +00:02:49,640 --> 00:02:54,780 +تصنف طبعا تصنف كده إلها دعوة بالـ Mu و بالإبسلون + +39 +00:02:54,780 --> 00:02:58,060 +في حاجة مسمية susceptibility احنا مالناجعة فيها + +40 +00:02:58,060 --> 00:03:03,300 +فحسب طبيعة المادة كيف تصنف مغناطيسيا بالتالي كيف + +41 +00:03:03,300 --> 00:03:06,960 +تتأثر بالمجال المغناطيسي كل مادة ممكن تتأثر + +42 +00:03:06,960 --> 00:03:11,720 +بالمجال المغناطيسي بدرجتين أو بقرة حسب تركبتها طب + +43 +00:03:11,720 --> 00:03:15,100 +لو عملنا مثلا جهاز مثل الجلم اللي فيه ده خلينا + +44 +00:03:15,100 --> 00:03:15,640 +نصرف شوية + +45 +00:03:19,450 --> 00:03:23,110 +يعني بتدي الجلم هذا .. اتحكوا فيه و جيبوا الجلم + +46 +00:03:23,110 --> 00:03:27,760 +يعني .. ممكن نعمل مجالي ..طبعا .. خلّيني أقول + +47 +00:03:27,760 --> 00:03:30,940 +نظرية ممكن لكن يمكن بداك مجال منناطيسي قوي جدا .. + +48 +00:03:30,940 --> 00:03:33,620 +نهيان النقطة .. نهيان النقطة بترجع .. يعني دايما + +49 +00:03:33,620 --> 00:03:36,760 +الشغلات النظرية زيها عمّا نحكي ال super conductors + +50 +00:03:36,760 --> 00:03:39,860 +.. نظرية حلوة .. super conductor .. بس إيش اللي + +51 +00:03:39,860 --> 00:03:42,620 +يجيبه .. بداك درجة حرارة مخالبة جدا .. هاي اتنين + +52 +00:03:42,620 --> 00:03:45,240 +يجيش يجيبها .. طب ماهيه بتكلف نكت ولا مالي يجيب + +53 +00:03:45,240 --> 00:03:48,120 +الحاس .. خلاص مالي يجيب الحاس مخلص .. فبالآخر + +54 +00:03:48,120 --> 00:03:51,800 +نظريا أه .. بس بداك مجال منناطيسي قوي جدا عشان + +55 +00:03:51,800 --> 00:03:52,280 +يأثر عليها + +56 +00:03:56,250 --> 00:03:58,830 +حديث Ferromagnetic Material اللي هو طول تتأثر و + +57 +00:03:58,830 --> 00:04:00,810 +كمان ميزة اكتر جيب من المجال المرماطيسي اللي انت + +58 +00:04:00,810 --> 00:04:03,990 +جبته وتعبت عنه بتبقى موجودة غير انها بتتفقد + +59 +00:04:03,990 --> 00:04:07,310 +فالشغلات النظرية موجودة و عشان كده بيه قيمتها + +60 +00:04:07,310 --> 00:04:13,090 +محدودة و احنا حكينا تسلا شغل كبيرة كبكدار تمر الان + +61 +00:04:13,090 --> 00:04:17,790 +شباب احنا اتفقنا في paradise قال في paradise انه + +62 +00:04:17,790 --> 00:04:20,630 +في عندي inf بساوي سالب + +63 +00:04:24,040 --> 00:04:29,980 +مجنتك طبعا على دي تيك هذه قانون فرضة هذه انحطت + +64 +00:04:29,980 --> 00:04:33,540 +عشان ال conservation of energy و كنا فلتوها على + +65 +00:04:33,540 --> 00:04:39,020 +لينزي يفسرها فبعا هذا فرق جهود شباب صح ولا لأ هذا + +66 +00:04:39,020 --> 00:04:42,880 +فرق جهود لما انا احط هنا سالب او موجب ايش بفرق + +67 +00:04:42,880 --> 00:04:46,980 +موجب عن سالب؟معاقس .. اتجاه .. انه انا لما اقول + +68 +00:04:46,980 --> 00:04:51,400 +هذه نفترض انه va ناقص vb هذي تلاقي زايد او ناقص + +69 +00:04:51,400 --> 00:04:55,460 +اذا زايد هذي اعلى من هذي اذا ناقص هذي اعلى من هذي + +70 +00:04:55,460 --> 00:04:58,880 +مظبوط ولا لا؟ اذا ان الشرط السالب هنا بتقنى من + +71 +00:04:58,880 --> 00:05:01,980 +اعلى من التاني وبالتالي اتجاه التيار بنعكس لما + +72 +00:05:01,980 --> 00:05:05,260 +تكون هذه العالية موقع الطيار بيجي من العالى للواقع + +73 +00:05:05,260 --> 00:05:07,960 +لما تكون هذه العالية موقع الطيار بيجي من بيه لإيه؟ + +74 +00:05:07,960 --> 00:05:12,030 +اذا الحكاية السالب اللي وجدت هناعشان تديني في + +75 +00:05:12,030 --> 00:05:17,720 +معاكسة ثلاث مجبع طيب الشغل التاني بيقولي طب هاديفي + +76 +00:05:17,720 --> 00:05:21,100 +عندك حالين هذه ال flux عشان تطلع لها قيمة لازم + +77 +00:05:21,100 --> 00:05:24,040 +تكون متغيرة ومش مش لازم تكون متغيرة لو هذه ال flux + +78 +00:05:24,040 --> 00:05:27,980 +ثابتة وفضلتها بالنسبة للزمن بيطلع قيمة لأ اذا عشان + +79 +00:05:27,980 --> 00:05:32,180 +يطلع حاجة لازم هذه تكون متغيرة صحيح؟ هذا فرضاي + +80 +00:05:32,180 --> 00:05:35,860 +بيقول عشان يكون في عندك induced inf لازم ال flux + +81 +00:05:35,860 --> 00:05:40,160 +تكون متغيرة بالنسبة للزمن حلو طب كيف تتغير؟ في + +82 +00:05:40,160 --> 00:05:43,960 +عندي فش الا احتمالين لا بتزيد لا بتانقص صح ولا لأ؟ + +83 +00:05:44,130 --> 00:05:48,130 +في اما التغير بالزيادة او التغير بالنقصان فهي + +84 +00:05:48,130 --> 00:05:51,790 +الاحتمالين اللي موجودين لا ثابتة لا بتزيد لا بتنقص + +85 +00:05:51,790 --> 00:05:57,710 +ثابتة سفر بتزيد في في في تغير في ال flux وبالتالي + +86 +00:05:57,710 --> 00:06:03,250 +في induced inf بتنقص برضه في induced inf جالي الآن + +87 +00:06:03,250 --> 00:06:09,530 +لو هذه بتزيد تفاضل الزيادة موجب صح لو بتنقص تفاضل + +88 +00:06:09,530 --> 00:06:16,860 +النقصان ايش سارب لان هذه زيادةوهذه النقصة تفاضلها + +89 +00:06:16,860 --> 00:06:24,020 +موجب وهذه تفاضلها سالب لو تنجس شباب بجيني سالب + +90 +00:06:24,020 --> 00:06:28,780 +وفيه سالب صار موجب بطل في معاكسة لو تزيد يكون + +91 +00:06:28,780 --> 00:06:34,200 +القانون عبارة عن المعاكسة فماذا يقول الانزلزلو؟ + +92 +00:06:34,200 --> 00:06:37,340 +يقول it tells us that the induced current + +93 +00:06:42,240 --> 00:06:52,060 +يجب ان يكون في اتجاه يجعل المجال + +94 +00:06:52,060 --> 00:06:56,710 +مغناطيسيبرضه بيولج مجال مغناطيسي هاجم طيار إجا من + +95 +00:06:56,710 --> 00:07:00,310 +مجال مغناطيسي و هو نفسه بيولج مجال مغناطيسي صار في + +96 +00:07:00,310 --> 00:07:04,610 +عندي مجالين المجال الأصلي و المجال المستحف بيكونوا + +97 +00:07:04,610 --> 00:07:07,990 +إما معاقد أو عكس بعيد بيقول لي it produces a + +98 +00:07:07,990 --> 00:07:11,550 +magnetic field to oppose the change in the + +99 +00:07:11,550 --> 00:07:17,230 +magnetic flux لازم يطلقلي طيار يعاكس التغير التغير + +100 +00:07:17,230 --> 00:07:21,780 +حالتينالقوة النارية يمكن تفسير باستخدام اتصالات + +101 +00:07:21,780 --> 00:07:23,040 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +102 +00:07:23,040 --> 00:07:28,600 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +103 +00:07:28,600 --> 00:07:33,280 +اتصالات اتصالات اتصالات + +104 +00:07:33,280 --> 00:07:34,180 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +105 +00:07:34,180 --> 00:07:34,580 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +106 +00:07:34,580 --> 00:07:43,220 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +107 +00:07:43,220 --> 00:07:46,120 +اتصالات + +108 +00:07:46,300 --> 00:07:50,340 +الـ Magnetic field الأصلي اتجاهه بحيث يولج لمجال + +109 +00:07:50,340 --> 00:07:56,200 +مغناطيسي عكس الأصلي طيب وإذا كان ال magnetic flux + +110 +00:07:56,200 --> 00:07:59,140 +decreasing if the magnetic flux through the loop + +111 +00:07:59,140 --> 00:08:04,300 +is decreasing decreasing هي سالب منها وفي سالب صار + +112 +00:08:04,300 --> 00:08:08,540 +موجة بطل في معاكسة في نفس ال directionالطريقة التي + +113 +00:08:08,540 --> 00:08:13,780 +يتم إستخدامها هي تجعلها تنتج مجموعة مغناطية في نفس + +114 +00:08:13,780 --> 00:08:18,340 +الطريقة التي هي مصدر المجموعة المغناطية نيجي + +115 +00:08:18,340 --> 00:08:23,960 +نشرحها أكتر بالتطبيقات هدول هدا هما نبدأ قاللي هذا + +116 +00:08:23,960 --> 00:08:30,080 +قاللي هذا مغناطيس هذا north ال north لما يقوللي + +117 +00:08:30,080 --> 00:08:35,040 +هذا هيك بتتحرك ال reflux بزيد ولا بنقصد؟بزيد مازال + +118 +00:08:35,040 --> 00:08:39,100 +بزيد في معاكسة معاكسة بين مين و مين بقولي معاكسة + +119 +00:08:39,100 --> 00:08:42,760 +بين المجال الأصلي و المجال اللي بيجي والده الطيار + +120 +00:08:42,760 --> 00:08:46,120 +المستحاصر اللي انت مدور عليه و أيه المجال الأصلي؟ + +121 +00:08:46,120 --> 00:08:49,520 +هو المجال الأصلي مين جابه؟ مشهده؟ مشهده North؟ هاي + +122 +00:08:49,520 --> 00:08:53,580 +اتجاه المجال الأصلي قاللي معاكسة الأصلي هيك + +123 +00:08:53,580 --> 00:08:57,940 +المعاكسة بتعني هيك حط ابهامك عكس الخطوط الزرق و + +124 +00:08:57,940 --> 00:09:04,740 +شوف كيف الطيار هك ولا لأ هاي الطياربيجي السلك هيو + +125 +00:09:04,740 --> 00:09:09,860 +من تحت وبيطلع هيك هاي تياري المستحث هذا التياري + +126 +00:09:09,860 --> 00:09:15,620 +المستحث بيولد مجال بهذا الشكل عكس هذا عكس الأصلي + +127 +00:09:15,620 --> 00:09:22,900 +ثم نيجي لهذا هذا الآن بيقولك هذا مروح مبعد يعني + +128 +00:09:22,900 --> 00:09:26,460 +ايش ال flux بيزيج و لا بينقص؟ بينقص يعني بيكون + +129 +00:09:26,460 --> 00:09:30,540 +الأصلي و المستحث مع بعض اللي هو أصلي كيف هيك خلي + +130 +00:09:30,540 --> 00:09:35,810 +بهمك معاه إذا كيف خيارك بيكون هيك؟أيوة مع أصابيع + +131 +00:09:35,810 --> 00:09:39,770 +الأربعة مع أصابيع الأربعة بيديمش الطيار هيك فهي + +132 +00:09:39,770 --> 00:09:47,430 +الطيار المسحث ادم يجيب كمان مثال هل بيقولي هذا + +133 +00:09:47,430 --> 00:09:53,070 +بيبعد يعني بينقص يعني مع بعد بس كلها دي South هيك + +134 +00:09:53,070 --> 00:09:57,610 +خد اصلاحك معاه لإن هو قاعد مع بعد هذا هو بيكون هيك + +135 +00:09:59,030 --> 00:10:04,110 +هذا بيزيد إذا معناته معاكسة هذا هيك بيضع اصبعي + +136 +00:10:04,110 --> 00:10:08,870 +عكسه فبديوا يكونوا تيار هيك فهذه قاعدة lens طيب + +137 +00:10:08,870 --> 00:10:15,470 +نجي للمثال السابق اللي انا خليني ارجعله برضه على + +138 +00:10:15,470 --> 00:10:20,870 +قاعدة lens اللي هو هذا ذاكرين + +139 +00:10:20,870 --> 00:10:27,070 +هذا؟ هجيت هذا و هو ماشي هيك بيزيد ولا بينجز و هو + +140 +00:10:27,070 --> 00:10:31,740 +ماشي هيك الفرقز بيزيد ولا بينجزو هو ماشي هيك، ماشي + +141 +00:10:31,740 --> 00:10:36,280 +المساحة بيزيد، اذا ال flux بيزيد، و هو ماشي هيك + +142 +00:10:36,280 --> 00:10:40,360 +بينقل، حياته هو ماشي هيك بيزيد، ال lens ايش بيقول + +143 +00:10:40,360 --> 00:10:45,320 +ايه؟ مع ولا عكس؟ عكس، الاصلي وين؟كيف تجاه الاصلة + +144 +00:10:45,320 --> 00:10:48,960 +انتوا اذا انا عكسها تبقى بها من وين بتودى دى كيف + +145 +00:10:48,960 --> 00:10:52,860 +الطيار بيكون مع عقارب الساعة ولا ضد عكس عقارب + +146 +00:10:52,860 --> 00:10:55,660 +الساعة high lens واحنا لما عملنا عكس عقارب الساعة + +147 +00:10:55,660 --> 00:10:59,000 +ذاكرين كيف قولنا هذه بيصير positive وهذه بيصير + +148 +00:10:59,000 --> 00:11:01,880 +negative الطيار بيكون هيك ولا لأ اذا تكون عكس + +149 +00:11:01,880 --> 00:11:07,500 +عقارب الساعة وهي شافين كيف قولنا هي عكس عقارب + +150 +00:11:07,500 --> 00:11:10,240 +الساعة هذه ده عاجبناها بدون lens high lens بيجيبها + +151 +00:11:10,240 --> 00:11:14,880 +نفسهالما يكون زيادة، لما يكون نقصان بعكس، طبعا لما + +152 +00:11:14,880 --> 00:11:18,260 +يكون نقصان شغلة منطقية بيصير النقصان فيها فوق و + +153 +00:11:18,260 --> 00:11:21,640 +البروتونات فيها تحت، مظبوط لأن V بتنعكس و بالتالي + +154 +00:11:21,640 --> 00:11:24,860 +بيصير الطيارة بالعكس، لذا ال lens بيجيب نفس الشغلة + +155 +00:11:33,400 --> 00:11:37,080 +تمام نشوف اللي هال مثال برضه على الانظر على كله + +156 +00:11:37,080 --> 00:11:40,780 +هذا مثال فش كتاب بحكي عن الموضوع هذا المثال مش + +157 +00:11:40,780 --> 00:11:45,820 +موجود فيه بصورة او باخره بيقول لي a square loop of + +158 +00:11:45,820 --> 00:11:49,200 +side L بيقول لو عندك loop عبارة عن مربع قدش تظهر + +159 +00:11:49,200 --> 00:11:49,720 +المربع + +160 +00:11:55,750 --> 00:12:00,850 +مقاومة R تتحرك + +161 +00:12:00,850 --> 00:12:07,590 +بسرعة ثابتة بي بتجذر في منطقة وهي بتجذر على منطقة + +162 +00:12:07,590 --> 00:12:13,310 +فيها مجال مغناطيسيfrom a region of width 3L in + +163 +00:12:13,310 --> 00:12:16,550 +which a uniform magnetic field B directed out of + +164 +00:12:16,550 --> 00:12:19,210 +the page as shown in the figure هذا هي هذه ال loop + +165 +00:12:19,210 --> 00:12:23,550 +كانت هنا صارت هنا صارت هنا صارت هنا تمشي قاعدة هذه + +166 +00:12:23,550 --> 00:12:26,710 +المنطقة فقط فيها مجال مغناطيسي out of the page + +167 +00:12:26,710 --> 00:12:31,030 +مجال مغناطيسي out of the page هنا فيه مجال؟ لأ هنا + +168 +00:12:31,030 --> 00:12:35,190 +فيه مجال بس هنا المجال بيقول لي إيش؟ إيش المطلوب؟ + +169 +00:12:35,190 --> 00:12:39,640 +ال plot of course بده تلات رسماتThe Flux أو الرسم + +170 +00:12:39,640 --> 00:12:43,500 +للفلوكس تاني رسم ل ال induced lymph ال induced + +171 +00:12:43,500 --> 00:12:49,770 +lymph هذه تالت رسم ل ال force ال forceand the + +172 +00:12:49,770 --> 00:12:53,990 +force in the loop as a function of x مع إيش بده + +173 +00:12:53,990 --> 00:12:57,490 +أصل مع X؟ إيش هي X؟ قال لي the position of the + +174 +00:12:57,490 --> 00:13:02,770 +right side of the loop X هو موضع هذا الضلع تعتبر + +175 +00:13:02,770 --> 00:13:06,350 +هذا سفر شباب لما يكون هذا الضلع حان، بده يكون X + +176 +00:13:06,350 --> 00:13:10,570 +سفر لما يكون هذا الضلع حان، إيش بده يكون X؟ أكبر L + +177 +00:13:10,570 --> 00:13:14,730 +كده إيش؟ تلاتة L طيب لما يكون هذا الضلع حان، هذا + +178 +00:13:14,730 --> 00:13:19,510 +الضلع وين بيكون؟ أربعة Lمش هنا مكون هدا هنا مكون + +179 +00:13:19,510 --> 00:13:23,210 +هدا هنا و هدا ال side كل ال بالاضافة لتلاتة ال + +180 +00:13:23,210 --> 00:13:29,070 +اربعة ال تمام هاي اكس هو موضع ال right side قال لي + +181 +00:13:29,070 --> 00:13:32,270 +يللا نرسم و نشوف بدي نحل احنا وياكم تعرف انت عملت + +182 +00:13:32,270 --> 00:13:36,130 +plotting في ال calculus ايه تمام solution قال لي + +183 +00:13:36,130 --> 00:13:40,490 +هين بدي ابدأ اش اول بدي ارسم ال flux عشان ارسم بدي + +184 +00:13:40,490 --> 00:13:46,990 +اعرف ايش قانون ال flux ال flux بسوء تكامل بضبط ال + +185 +00:13:46,990 --> 00:13:51,690 +dAمظبط ولا لأ؟ هجيت بقولي بيه uniform طلعها برا + +186 +00:13:51,690 --> 00:13:56,790 +اذا كامل ال دي ايه؟ بيه ضد ال ايه؟ كمان؟ ليه جي لك + +187 +00:13:56,790 --> 00:14:00,610 +ضد ال product؟ ضد ال product ال area عليكم و + +188 +00:14:00,610 --> 00:14:03,770 +المجال المغناطيسي عليكم إذا الزاوية zero كصان ال + +189 +00:14:03,770 --> 00:14:09,810 +zero كم؟ واحد إذا راه واحد هجيت لو بيه سفر كم + +190 +00:14:09,810 --> 00:14:16,930 +الفاقس؟ سفر مظبط ولا لأ؟ طيب السؤال الآن شايفين + +191 +00:14:16,930 --> 00:14:23,870 +الحيطة؟بتعرفوا مساحتها؟ بتقدروا يجيبوها؟ لو معاكم + +192 +00:14:23,870 --> 00:14:27,450 +متر بتجيبوا مساحتها ولا لأ؟ ماعرفوا مساحتها فجيت + +193 +00:14:27,450 --> 00:14:30,830 +في مجال مغناطيسي على الحيطة بس مش في كل الحيطة بس + +194 +00:14:30,830 --> 00:14:34,170 +في المنطقة تحت اللوح في مجال مغناطيسي سؤالي الآن + +195 +00:14:34,170 --> 00:14:37,210 +جديش ال flux على الحيطة على الحيطة إيش كنتوا + +196 +00:14:37,210 --> 00:14:42,070 +يخمنوه؟ المجال المغناطيسي معروف بقيمته تقولوا بيه + +197 +00:14:42,070 --> 00:14:45,530 +في مساحة الحيطة و لا في مساحة اللوحبس المساحة اللي + +198 +00:14:45,530 --> 00:14:49,670 +اخر لأن انتوا بدكم المساحة اللي فيها مجال مغناطيسي + +199 +00:14:49,670 --> 00:14:56,370 +هذه بدكم إياها لأ تمام إذا هذه طلعوا عليها طول ما + +200 +00:14:56,370 --> 00:15:01,350 +هي ماشية برا جاتيش ال flux لما تبدأ تفوت بدكم كل + +201 +00:15:01,350 --> 00:15:03,710 +مساحتها ولا بس المساحة اللي دي و المنطقة الصفراء + +202 +00:15:03,710 --> 00:15:07,970 +بس المنطقة اللي صفراء طيب هذه المنطقة الصفراء + +203 +00:15:07,970 --> 00:15:12,020 +عملها شويه شويه بزيد ولا لأ؟ وقتش بتثبتلما كلها + +204 +00:15:12,020 --> 00:15:16,040 +تفوت طول ما هي كلها جوه و ال flux بيثبت لما بيبدأ + +205 +00:15:16,040 --> 00:15:20,160 +تثبت بقى تطلع بيبدأ ينقص و لما كلها تطلع برا بيرجع + +206 +00:15:20,160 --> 00:15:27,360 +zero نصم هى اللى هى يرسم هى ال Y axis هى ال flux Y + +207 +00:15:27,360 --> 00:15:32,120 +X axis تمام هى السفر تبعى لما تصل ال right side + +208 +00:15:32,120 --> 00:15:36,280 +هنا ده اللى هى هنا هى ال flux و هى اللى بتبعتك + +209 +00:15:36,280 --> 00:15:43,420 +جديس ال flux اللى بتمشي هيكفى flux لأنه ماجدش بيه + +210 +00:15:43,420 --> 00:15:50,120 +سفر اذا من السالب للسفر ماجدش ال flux هى السفر قبل + +211 +00:15:50,120 --> 00:15:56,300 +كده فى flux اذا معناته هى السفر هى ال flux كان في + +212 +00:15:56,300 --> 00:16:01,160 +الاول سفر بدينها جيت بدها تبدأ تفوت الان ال flux + +213 +00:16:01,160 --> 00:16:07,180 +ايش بيصير فيه؟ تشوف المنطقة الصفره بزيد ولا لأ انا + +214 +00:16:07,180 --> 00:16:09,860 +بدي المنطقة الصفره طول ما هى ماشي بدي احسبها + +215 +00:16:12,560 --> 00:16:19,520 +لما كلها تفوت لمّا كلها تفوت جدّيش X صارت لأ لإن + +216 +00:16:19,520 --> 00:16:25,120 +انا X بقعد هذا ببلاع هنا مش L لما تطور بلاع اذا + +217 +00:16:25,120 --> 00:16:29,040 +ميدال ال flux تزيد تزيد تزيد تزيد لما تساوي L اذا + +218 +00:16:29,040 --> 00:16:34,100 +بيقولي هاي هنا هاي صارت L هادي L طبعا ليش اعملت خط + +219 +00:16:34,100 --> 00:16:37,560 +مستقيم لإن الصرعة ثابتة شباب الصرعة ثابتة لو + +220 +00:16:37,560 --> 00:16:40,470 +الصرعة لم تثابت بدي اعملها curveلكن صوعة ثابتة + +221 +00:16:40,470 --> 00:16:43,610 +معناته straight line لأن ال straight line ماله + +222 +00:16:43,610 --> 00:16:49,490 +ثابت ولا لأ تمه فاتت هاجدت ال flux بتتغير بتتغير + +223 +00:16:49,490 --> 00:16:52,670 +ال flux هاجدت يالله امشي مين .. مين يقول ال flux + +224 +00:16:52,670 --> 00:16:57,210 +اتغير ولا ماتغيرش ثابت نفس القيمة .. نفس القيمة + +225 +00:16:57,210 --> 00:17:00,930 +تمه طول ما هو ماشي هيك وهو نفس القيمة لديش يعني + +226 +00:17:00,930 --> 00:17:05,030 +بقدر اقولها ليه نفس القيمة اللي وصلها لآخر بضرع + +227 +00:17:05,030 --> 00:17:09,060 +كاملة لما وصل هناك ايش صار فيهاالمنطقة السافرة + +228 +00:17:09,060 --> 00:17:14,600 +بتزيد ولا بتنقص؟ بتنقص لما كله يطلع برا ترجع سفر + +229 +00:17:14,600 --> 00:17:23,860 +فحتى X مش ساوي أربعة L رجعت هنا ثم بعد كده بتدلها + +230 +00:17:23,860 --> 00:17:29,360 +سفر اتروح ان شاء الله من هنا لما تصل خانونس بيفرق + +231 +00:17:29,360 --> 00:17:38,540 +معايا سفر هاي ال flux خلصت0 زاد ثم ثبت ثم نجس ثم + +232 +00:17:38,540 --> 00:17:43,020 +نعود لـ0 فى مشكلة يا شباب هاي رسمة ال flux هاي أول + +233 +00:17:43,020 --> 00:17:48,040 +رسمة حلو قاللي أرسم ال inf بقوللي هجيت سهل القضية + +234 +00:17:48,040 --> 00:17:52,460 +بداش تفكير بقوللي ال inf تساوي تفضل ال flux + +235 +00:17:52,460 --> 00:17:57,460 +بتعرفوا تفضلوا الرسمات؟التفاضل من الرسم تعفوا عمكم + +236 +00:17:57,460 --> 00:18:03,520 +انا راض عليكم اه لأنه التفاضل هو من المماس الخط + +237 +00:18:03,520 --> 00:18:09,660 +الأفقي جديش تفاضله bravo عليكم تمه اذا جديش تفاضله + +238 +00:18:09,660 --> 00:18:16,520 +هذا الخط جديش تفاضله هذا الخط و هذا طب هذا تفاضله + +239 +00:18:16,520 --> 00:18:20,320 +له قيمة و هذا تفاضله له قيمة بس معكوسة لإن هذا + +240 +00:18:20,320 --> 00:18:26,490 +تفاضله مدبره تفاضله إيش سالب خلصتإذا هنا بقول ليه؟ + +241 +00:18:26,490 --> 00:18:30,650 +it is clear that phi is zero as long as the loop + +242 +00:18:30,650 --> 00:18:34,510 +is totally outside the field صح إذا zero هنا و + +243 +00:18:34,510 --> 00:18:38,850 +zero هنا، zero هان و zero هان، هذي منطق لأن b + +244 +00:18:38,850 --> 00:18:46,270 +equal to zero تمامit increases بتزيد as it is + +245 +00:18:46,270 --> 00:18:50,770 +entering and decreasing as it is leaving the field + +246 +00:18:50,770 --> 00:18:56,010 +بتزيد و هي داخلة و بتنجس و هي خارجها صحيحة او لا؟ + +247 +00:18:56,010 --> 00:19:00,570 +هاي اللي توي حاكيناها it is constant و بتساوي B في + +248 +00:19:00,570 --> 00:19:04,170 +L تربيع لإنه مساحة اللوب كلها يعني هذه القيمة + +249 +00:19:04,170 --> 00:19:08,970 +جديهش ب L تربيعwhen it is totally inside the field + +250 +00:19:08,970 --> 00:19:13,610 +لما تكون كلها جوا بتكون ال flux ثابت و بتساوي بيه + +251 +00:19:13,610 --> 00:19:17,810 +بالمساحة كلها اللي هي التربية حلو الآن بيقولوا + +252 +00:19:17,810 --> 00:19:26,930 +بيبقوا يرسموا ال F حلو نقول هذه Zero طول ما هذه + +253 +00:19:26,930 --> 00:19:34,670 +ثابتة صحيح ولا لأ؟ وهذه ثابتة هنا و هنا و هنا إذا + +254 +00:19:34,670 --> 00:19:44,360 +هي ال Fسفر هنا و سفر هنا و سفر هنا مظبوط ولا لأ؟ + +255 +00:19:44,360 --> 00:19:49,740 +سفر لأنها سفر سفر لأنها ثابتة نزلت سفر لأنها سفر + +256 +00:19:49,740 --> 00:19:55,680 +هجيت هان في قيمة و هان في قيمة عكس بعد كيف بتدعي + +257 +00:19:55,680 --> 00:20:05,820 +رسمهم؟ هي هادي و هي هادي هي الانف واحد + +258 +00:20:05,820 --> 00:20:06,480 +عكس التاني + +259 +00:20:10,110 --> 00:20:20,430 +تمام؟ هذه هنا وهذه هنا هذه هي النبضة الكهربائية ال + +260 +00:20:20,430 --> 00:20:25,550 +pulse بنسميها ال pulse الكهربائية تمام؟ واحد + +261 +00:20:25,550 --> 00:20:31,480 +بيقولي طب ليش طلعت عجلة هيك؟عشانه خط مستقيم ميلو + +262 +00:20:31,480 --> 00:20:35,320 +هان و لا ميل هان و لا ميل هان واحد و لا لأ فانت + +263 +00:20:35,320 --> 00:20:38,660 +اول ما بتزيادة بتطلع عندك بتضوي بتضوي و بتطلع + +264 +00:20:38,660 --> 00:20:41,600 +ضاوية ضاوية ضاوية لما ال flux يثبت ترجع تطفي + +265 +00:20:41,600 --> 00:20:46,480 +ذاكرين ال binary system ال binary system اللي هو + +266 +00:20:46,480 --> 00:20:53,140 +النظام الثنائي ال 01الـ 0 هو طفة والـ 1 مضوي فهذه + +267 +00:20:53,140 --> 00:20:56,720 +طفت وهذه ضوط فالضوء بيجيك ضوء على طول مدي كاشف + +268 +00:20:56,720 --> 00:21:01,420 +التجريد لأنه عندي ثبات في السرعة فهنا ضوط هنا طفت + +269 +00:21:01,420 --> 00:21:04,940 +هنا ضوط بالتجارة المعاكس في النهاية لإن هم عند ضوء + +270 +00:21:04,940 --> 00:21:10,520 +تمام فهذه هي البرس تمام خلصت من ال .. هذي بيقولي + +271 +00:21:10,520 --> 00:21:14,640 +بيدي القوة قوة علشان بيقولي ماشي هذي ماشية طيب + +272 +00:21:14,640 --> 00:21:18,790 +ماشيةفي مجال مغناطيسي بقول في مجال مغناطيسي في بعض + +273 +00:21:18,790 --> 00:21:22,570 +المناطق صح ولا لأ هجيت بقول لي في قانون زمان + +274 +00:21:22,570 --> 00:21:29,230 +أخدناها قال F بتساوي I L X B ذاكرينه هذي ال + +275 +00:21:29,230 --> 00:21:32,820 +magnetic force على أي سلكي بيحمل تيارةفي مجال + +276 +00:21:32,820 --> 00:21:35,100 +ممثليسي بقول في بعض المناطق في مجال ممثليسي في + +277 +00:21:35,100 --> 00:21:39,360 +طيار بقوله مرات في طيار و مرات مافيش الطيار يستحاف + +278 +00:21:39,360 --> 00:21:43,040 +هنا في طيار في ضوء و هنا في طيار لكن هنا في طيار + +279 +00:21:43,040 --> 00:21:49,180 +لأ و هنا في طيار اذا هنا في قوة و هنا في قوة هنا + +280 +00:21:49,180 --> 00:21:52,500 +مافيش قوة و هنا مافيش قوة و هنا مافيش قوة هنا + +281 +00:21:52,500 --> 00:21:56,180 +مافيش قوة لأنه مافيش لا بي ولا اي هنا مافيش قوة + +282 +00:21:56,180 --> 00:21:59,930 +بالرغم من وجود بيه لكن مافيش طياروهنا مافيش قوة + +283 +00:21:59,930 --> 00:22:05,570 +لأنه لا في بي ولا في تيار طب نيجي نحسبها القوة وهل + +284 +00:22:05,570 --> 00:22:08,930 +هتكون مع بعض و لا عكس بعض تشوف الطيارات عكس بعض و + +285 +00:22:08,930 --> 00:22:12,950 +لا لأ نشوف القوة بقول هيهم التلات حالات اللي عندك + +286 +00:22:15,640 --> 00:22:20,800 +ماكنش تعرفيها سفر بتفجين ولا لأ و برا هنا سفر و هي + +287 +00:22:20,800 --> 00:22:25,960 +داخلة في زيادة و هي هنا في ثابت و هنا في نقصان + +288 +00:22:25,960 --> 00:22:29,220 +نشتغل مع الناس كمان مرة شباب اللي مش فاهم الناس دي + +289 +00:22:29,220 --> 00:22:33,020 +يوضح معايا هجيتوا هى داخلة الفكس بزيد ولا بينقص + +290 +00:22:33,020 --> 00:22:40,960 +بزيد مع ولا عكس عكس عكس العصلي كيف تجاهه العصلي + +291 +00:22:40,960 --> 00:22:44,840 +out إذا عكس إيش معناته حط إبهامك انتوا شوف الطيارة + +292 +00:22:44,840 --> 00:22:45,280 +كيف بيكون + +293 +00:22:49,220 --> 00:22:53,200 +مع أقارب الساعة، إذا هي التيار موجود، هجتها و هي + +294 +00:22:53,200 --> 00:22:56,780 +داخلة، في تيار و لا تيار؟ في تيارة، أنا بدي أجيب + +295 +00:22:56,780 --> 00:22:59,880 +القوة على مربع، شباب، هل بتقدر تقول هذه closed + +296 +00:22:59,880 --> 00:23:04,840 +loop، هل القوة سفر؟ لأن مجلة كفيرد مش ثابت، برضه + +297 +00:23:04,840 --> 00:23:08,000 +سفر و مرأيله قيمة، مظبوط ولا لأ؟ إذا مش ثابت، طيب + +298 +00:23:08,000 --> 00:23:12,460 +أكمض لعلها؟ بدي أجيب القوة على أربع أضلاع، عليه + +299 +00:23:12,460 --> 00:23:18,330 +قوة؟ ليش؟مافيش بيه مع ان في طيار تذكروا طيار بيمشي + +300 +00:23:18,330 --> 00:23:23,170 +هيك في طيار لكن مافيش بيه طيب تقدروا تقولوا بالحدث + +301 +00:23:23,170 --> 00:23:26,430 +ان هذا طلع برغم طلع حدا ولا لا ذاكرين المثال + +302 +00:23:26,430 --> 00:23:31,990 +الحالي زيه اذا انا بدي طلع حدا هذا طلع طياره كيف + +303 +00:23:31,990 --> 00:23:39,370 +اتجاهه لأسفل لو بدي تعوض هنا بدي احط I و هنا سالب + +304 +00:23:39,370 --> 00:23:49,200 +L J cross ال KJ cross Ki ثم صلب I كيف القوة تجاهها + +305 +00:23:49,200 --> 00:23:56,680 +عكس عكس حركته ولا مش عكس حركته عكس حركته تمام اذا + +306 +00:23:56,680 --> 00:24:03,440 +بيقولي نجي لل F the force is zero as long as + +307 +00:24:03,440 --> 00:24:06,420 +epsilon بتساوي سفر يعني مافيش طيارة بيقولوا طول ما + +308 +00:24:06,420 --> 00:24:10,620 +الطيار مش موجود فيش F يعني بيقولي هنا سفر و هنا + +309 +00:24:10,620 --> 00:24:17,560 +سفر و هنا سفر اتفهمناطبعا اذا هذه سفر وهذه سفر + +310 +00:24:17,560 --> 00:24:24,580 +وهذه سفر قال الان اشتغل عليه وفوق الفجانية اقول + +311 +00:24:24,580 --> 00:24:28,020 +هنا هنا اه as the loop is entering و هي داخلة على + +312 +00:24:28,020 --> 00:24:32,140 +اي ضلع تشتغل على ضلع اليمين the force is on its + +313 +00:24:32,140 --> 00:24:38,660 +right side طولة القوة ناقص I تبنيه و هو خارج ال + +314 +00:24:38,660 --> 00:24:42,370 +flux بزيد ولا بانجساذا الطيارة المستحيلة لينز + +315 +00:24:42,370 --> 00:24:48,790 +بيقول ماع ولا ضد، ماع، حط ابهامك برا، مش هذا هو، + +316 +00:24:48,790 --> 00:24:52,690 +طب انا اضلع، بدي اضلع حدا؟ ولا بدي اضلع حدا لان؟ + +317 +00:24:52,690 --> 00:24:56,510 +بدي اضلع حدا، لان اضلع حدا في بي؟ طب هات اضلع كيف + +318 +00:24:56,510 --> 00:25:01,950 +بيطيّع عليه، لا فوق ولا تحت؟ زي هذا، اذا نفسي + +319 +00:25:01,950 --> 00:25:05,700 +اتجاه القوة او مش نفسي اتجاه القوة؟نفس اتجاه القوة + +320 +00:25:05,700 --> 00:25:10,280 +شوف معانا الطيارين اختلفوا لكن عشان الضلعين في + +321 +00:25:10,280 --> 00:25:14,460 +الاخر اختلفوا فطلع في الحالتين التيار في الضلع + +322 +00:25:14,460 --> 00:25:17,980 +اللي بدي ايا down ولا مش down اذا القوة مات في + +323 +00:25:17,980 --> 00:25:22,400 +الحالتين مع بعض ولا ضد بعض؟ مع بعض فبتكون القوة + +324 +00:25:22,400 --> 00:25:27,450 +هادي هيك التانية كي بده تكونطبعا واحدة من واحدة + +325 +00:25:27,450 --> 00:25:29,990 +يقول ايه؟ ممكن هدى يخليها تحت و هدى فوق و بقوله اه + +326 +00:25:29,990 --> 00:25:33,590 +ممكن هدى و التنتين يخليهم تحت و بقوله اه مش مشكلة + +327 +00:25:33,590 --> 00:25:36,350 +المهم ان التنتين هدى يكونوا مع بعض و هدى يكونوا + +328 +00:25:36,350 --> 00:25:39,350 +عكس بعض طبعا تطلعوا انتوا و شوفوا مبدأ + +329 +00:25:39,350 --> 00:25:44,670 +conservation of energy شباب هدى ماشية القوة بتكون + +330 +00:25:44,670 --> 00:25:52,220 +معاكسةصفة مقاومة التغيير موجودة في كل إشي مقاومة + +331 +00:25:52,220 --> 00:25:56,200 +التغيير من تعريف ال inertia إذا كنتوا ذاكرينها ال + +332 +00:25:56,200 --> 00:25:59,780 +inertia هي خاصية المادة لمقاومة التغيير ولا لأ + +333 +00:25:59,780 --> 00:26:06,780 +فدائما الأحوال والخلائق تميل إلى معارضة التغيير + +334 +00:26:06,780 --> 00:26:09,680 +انت شوف لك أي فكرة جديدة ميت ألف واحد بيطلع ينطلك + +335 +00:26:09,680 --> 00:26:13,880 +معرضها ولا لأ هجيت انت لعبه جالك اشمال بتقوله جنوب + +336 +00:26:14,380 --> 00:26:17,400 +مجبور على المخالفة طبيعي حكمه دايما صح هذا فدايما + +337 +00:26:17,400 --> 00:26:22,340 +إن الإنسان بيحاول يقاوم التغيير التغيير و هذه ده + +338 +00:26:22,340 --> 00:26:26,240 +هي ماشية من لازم في حد يعاكس فهو هذا هو مبدأ ال + +339 +00:26:26,240 --> 00:26:29,940 +conservation of energy عشان كده خطط قاعدة لينز قال + +340 +00:26:29,940 --> 00:26:34,160 +لو هذه السلب مش موجودة معناته هذه بيجيجيها كمو قوة + +341 +00:26:34,160 --> 00:26:39,020 +طاقة وين بتروحي من وين بتيجي لكن طاقة بتعاكس طاقة + +342 +00:26:39,220 --> 00:26:43,020 +عشان يبقى الطاقة محفوظة فهذا مبدأ حفظ الطاقة هذه + +343 +00:26:43,020 --> 00:26:48,060 +هي المثال اللى كان مهم جدا انه بيجيبها شاملة بيجيب + +344 +00:26:48,060 --> 00:26:53,100 +قاعدة lens عشان يجيب للتيارات بيجيب القوة وبيجيب + +345 +00:26:53,100 --> 00:26:56,940 +قانون فرداء كيف تجيب الإنف وكيف هى تجيبها الأمور + +346 +00:26:56,940 --> 00:27:03,390 +فهذا هي الرسمة اللى موجودة كمثالinduced electric + +347 +00:27:03,390 --> 00:27:09,230 +field اخر موضوع في هذا ال chapter هو ال induced + +348 +00:27:09,230 --> 00:27:14,310 +electric field قال في عندك اتغير ل flux طلع عندك + +349 +00:27:14,310 --> 00:27:18,750 +induced emf induced emf سكر صار في عندك induced + +350 +00:27:18,750 --> 00:27:23,500 +current اذا induced emf بجيب induced currentطب + +351 +00:27:23,500 --> 00:27:25,700 +قللي هو التيار الشوة مش في نهاية الشحنات ولا في + +352 +00:27:25,700 --> 00:27:29,180 +الشحنات مازال في تيار في المنطقة في مجال كهربائي + +353 +00:27:29,180 --> 00:27:32,520 +ولا لأ مازال في مجال كهربائي حاجات اندوست انف + +354 +00:27:32,520 --> 00:27:35,400 +سموها induced current هذا بيسموها induced electric + +355 +00:27:35,400 --> 00:27:39,420 +field طبعا اذا اندوست electric field مين جابه تغير + +356 +00:27:39,420 --> 00:27:44,260 +في ال flux لما تغير في ال flux جاب انف جاب تيار + +357 +00:27:44,260 --> 00:27:49,330 +وبالتالي شحنات وبالتالي في مجال كهربائي بيقولليبعد + +358 +00:27:49,330 --> 00:27:53,550 +المعلومة تابعة Faraday بقول a changing magnetic + +359 +00:27:53,550 --> 00:27:58,770 +flux creates an induced impf صح هذا Faraday and + +360 +00:27:58,770 --> 00:28:03,890 +thus وبالتالي ال impf بيجيب طيار and thus an + +361 +00:28:03,890 --> 00:28:07,150 +induced current in a conducting loop طبعا الطيار + +362 +00:28:07,150 --> 00:28:09,770 +لازم يكون في دائرة مغلقة عشان يطلع عندي طيار صحيح + +363 +00:28:09,770 --> 00:28:14,250 +ولا لأ؟ حلوبيقول لي before بما أنه التيار هو شحنات + +364 +00:28:14,250 --> 00:28:17,950 +and electric field must be present along the loop + +365 +00:28:17,950 --> 00:28:20,390 +إذا ما زال فيه تيار إذا ما زال فيه مجال كهربائي + +366 +00:28:20,390 --> 00:28:23,570 +بدي أحسبه هذا المجال الكهربائي بدي أسميه induced + +367 +00:28:23,570 --> 00:28:29,550 +electric field this field وهو المجال created by + +368 +00:28:29,550 --> 00:28:34,070 +changing magnetic flux is called induced electric + +369 +00:28:34,070 --> 00:28:38,310 +field and given by .. لنحسبها أنا معكم أنا بعرف ال + +370 +00:28:39,970 --> 00:28:45,510 +الانف شباب هو فرق جهود ولا لأ؟ مش هو فرق جهود؟ + +371 +00:28:45,510 --> 00:28:51,410 +الانف هو فرق جهود طب فرق الجهود مش بالساوي سالب + +372 +00:28:51,410 --> 00:28:57,850 +التكامل من initial ل final ايه ضد ال DS صحيح ولا + +373 +00:28:57,850 --> 00:29:03,110 +لأ؟ حاجات هذه موجودة إذا هذه بقدر أجيبها طبعا هذه + +374 +00:29:03,110 --> 00:29:07,130 +initial وهذه final أنا عشان أطلع معايا طيار بنفع + +375 +00:29:07,130 --> 00:29:10,440 +ال initial و ال final يكونوا بعيد عن بعضلازم + +376 +00:29:10,440 --> 00:29:12,440 +تكونوا ملزقين بعض ولا لأ؟ مش لازم تكون ال loop + +377 +00:29:12,440 --> 00:29:15,200 +closed عشان نطلع معاه طيار؟ عمكم شوفتوا طيار + +378 +00:29:15,200 --> 00:29:18,280 +كهربائي في دائرة مفتوحة؟ لازم الدائرة مش تكون + +379 +00:29:18,280 --> 00:29:23,080 +مغلقة هادي عشان تكون هادي، بدي أجيب هدول هيك و أحط + +380 +00:29:23,080 --> 00:29:29,140 +هادي تمام شباب، نرجع هنا، أنا قولت هنا I F مظبط + +381 +00:29:29,140 --> 00:29:34,240 +ولا لأ؟ لو حطيت هدي F و هدي I، بدي أجيب هدي؟بظبط + +382 +00:29:34,240 --> 00:29:38,180 +ولا لأ طيب لما تتسكر بيفرج معايا ايه حاط هنا و ايه + +383 +00:29:38,180 --> 00:29:41,000 +حاط هنا اذا لما انا مغلق انا بيبطل اله معنى هذه + +384 +00:29:41,000 --> 00:29:44,520 +صحيح ولا لأ لأ انا بيبطل معنى انت مين بادي و مين + +385 +00:29:44,520 --> 00:29:48,500 +مش بادي مانهاش معنى فبقول ليه بيقول ليه ال inf + +386 +00:29:48,500 --> 00:29:51,180 +اللي هو فرق الشجوه ال delta V بساوي تكامل E dot ال + +387 +00:29:51,180 --> 00:29:54,440 +DS السلب راح لأن في عندي اغلاق شباب مالوش معنى + +388 +00:29:54,440 --> 00:29:58,280 +السلب لما يكون اغلاق قال لي بس هذه بتقدر يجيبها من + +389 +00:29:58,280 --> 00:30:03,870 +القانون الفرضي ولا لأ هيها اذا بيصير هذهبتساوي هذه + +390 +00:30:03,870 --> 00:30:07,970 +و خلاص using fertilizer هي قانون اذا من هذا + +391 +00:30:07,970 --> 00:30:12,310 +القانون بقدر اجيب المجال الكهربائي فجيش بيقوللي + +392 +00:30:12,310 --> 00:30:15,810 +لازم يكون في دائرة مغلقة و لا بتطلعش معاك تيار و + +393 +00:30:15,810 --> 00:30:18,990 +اذا مافيش تيار مافيش مجال اذا مالك دائرة مغلقة ايه + +394 +00:30:18,990 --> 00:30:24,490 +تمام اتروا احكيلي هناIt should be noted that this + +395 +00:30:24,490 --> 00:30:28,790 +result is also valid for any hypothetically closed + +396 +00:30:28,790 --> 00:30:33,010 +path بيقوللي انت اللوب المغلقة بتعملها عشان تطلع + +397 +00:30:33,010 --> 00:30:36,130 +معاك طيار الطيار بدك لوب حقيقية بس المجاري + +398 +00:30:36,130 --> 00:30:39,710 +الكهربائي بتكاش لوب حقيقية حتى لو عملت لوب وهمية + +399 +00:30:39,710 --> 00:30:42,450 +بمعنى هجد عندك نقطة هذه في جاذبية أرضية ولا في + +400 +00:30:42,450 --> 00:30:47,530 +جاذبية أرضية؟في جاذبية أرضية في جسم هنا؟فيش لكن + +401 +00:30:47,530 --> 00:30:51,760 +انت لما تقول في جاذبية بمعنى لو حطيت كتلة تنزللو + +402 +00:30:51,760 --> 00:30:54,280 +حطيت كنتلة بتنزل عشان كده بتقول عند هذه النقطة في + +403 +00:30:54,280 --> 00:30:58,120 +جاذبية أرضية حاجات عند النقطة هذه في مجال كهربائي + +404 +00:30:58,120 --> 00:31:02,380 +بتقول الله أعلم ممكن يكون و ممكن مايكونش حتى لكن + +405 +00:31:02,380 --> 00:31:04,820 +لو حطيت شحنة و اتحركت بتقول في مجال كهربائي صح ولا + +406 +00:31:04,820 --> 00:31:09,160 +لأ اذا وجود المجال مش بالضرورة يكون في هذه النقطة + +407 +00:31:09,160 --> 00:31:15,090 +في شحنةصح هي نفس العملية وجود المجال هذا لا يعني + +408 +00:31:15,090 --> 00:31:18,650 +عند النقطة هذه في تيار بس في تيار في المنطقة في + +409 +00:31:18,650 --> 00:31:24,030 +مجال في المنطقة فأي لوب حتى لو كانت وهمية بتقدر + +410 +00:31:24,030 --> 00:31:28,030 +تجيبها عشان تحسب شدة المجال الكهربائي اي لوب وهمية + +411 +00:31:28,030 --> 00:31:32,990 +استخدمها فهذه ايش هي لوب وهمية صارت لوب وهمية هي + +412 +00:31:32,990 --> 00:31:36,310 +طبعا ال flux حقيقية ماناش دعوة فيها + +413 +00:31:38,810 --> 00:31:41,890 +الشغل التاني اللي جابي نعملها بقول واحدة واحدة + +414 +00:31:41,890 --> 00:31:46,690 +علينا المجال الكهربائي هذا سموه induce electric + +415 +00:31:46,690 --> 00:31:49,290 +field ده مش مفرج عن المجال الكهربائي اللي خدناه في + +416 +00:31:49,290 --> 00:31:54,530 +أول chapter اللي جيبنا جولنا ايه بسوى KQ على R + +417 +00:31:54,530 --> 00:32:03,040 +تربيةبهو هذه برضه شحنات ماهي تيار في الآخر تمام بس + +418 +00:32:03,040 --> 00:32:08,160 +إيش المشكلة جالي هادى سمتليها وقالتلي هادي قوة + +419 +00:32:08,160 --> 00:32:14,380 +محافظة مجال محافظ وبالتالي إيه فرق جهود الآن لو + +420 +00:32:14,380 --> 00:32:18,180 +هادي مجال محافظ إيش مستي المجال المحافظ بيقول لي + +421 +00:32:18,180 --> 00:32:21,950 +لا يعتمد على المسارلا يعتمد على المسار واذا لا + +422 +00:32:21,950 --> 00:32:25,150 +يعتمد على المسار معناته لو بدأت من نقطة ورجعت لنفس + +423 +00:32:25,150 --> 00:32:29,650 +النقطة المفروض يكون الشغل بيساوي zero يعني فرقة + +424 +00:32:29,650 --> 00:32:32,650 +جهد بيبقى بيساوي zero معناته هادي بيبقى بيساوي + +425 +00:32:32,650 --> 00:32:35,670 +zero لما أبدأ انا هاجيت لو هادي لا يعتمد على + +426 +00:32:35,670 --> 00:32:38,970 +المسار لو حطيت ما زال لا يعتمد على المسار بيبقى + +427 +00:32:38,970 --> 00:32:42,690 +جول من ايه من واحد لواحد او من ايه لايه لو عملت من + +428 +00:32:42,690 --> 00:32:45,630 +ايه لايه جديش القيمة اللي بتطلع zero لكن هي ما + +429 +00:32:45,630 --> 00:32:49,640 +طلعتش zeroلما أقول مغلق من إيه لإيه أنا بصحي اللي + +430 +00:32:49,640 --> 00:32:52,640 +ياخد من إيه لإيه لإنه أي مسار اللي قد تاخده بيطلع + +431 +00:32:52,640 --> 00:32:57,020 +zero بيقولي آه هذا المجال مش محافظ لإن لو محافظ + +432 +00:32:57,020 --> 00:33:00,980 +بيصير هذا القلم غلط إذا معناته اللي بيحل الإشكالية + +433 +00:33:00,980 --> 00:33:04,500 +إن هذا المجال مايكونش محافظ إذا هذا بيفرج عن + +434 +00:33:04,500 --> 00:33:08,360 +المجال هداك إنه هذا مجال غير محافظ بيقولي the + +435 +00:33:08,360 --> 00:33:10,740 +induced electric field اللي هو المجال اللي انت + +436 +00:33:10,740 --> 00:33:15,290 +قاعد تحكي عنه is quite differentكليا مختلف from + +437 +00:33:15,290 --> 00:33:18,710 +the electrostatic field produced by static charges + +438 +00:33:18,710 --> 00:33:22,150 +كيف the induced electric field is a non + +439 +00:33:22,150 --> 00:33:26,250 +-conservative field هو non-conservative field + +440 +00:33:26,250 --> 00:33:30,510 +produced by a changing magnetic flux ومنتج من flux + +441 +00:33:30,510 --> 00:33:35,460 +متغير إذا اللي بدنا نعرفهإن المجال اللي ناتج من + +442 +00:33:35,460 --> 00:33:39,900 +تغيّل ال flux هو مجال غير محافظ بعكس المجال اللي + +443 +00:33:39,900 --> 00:33:46,620 +جاي من شحنات استاتيكية ثابتة هو مجال محافظبقول لي + +444 +00:33:46,620 --> 00:33:49,020 +وإلا hence no electric potential can be associated + +445 +00:33:49,020 --> 00:33:52,760 +by the induced electric field ال induce electric + +446 +00:33:52,760 --> 00:33:56,660 +field لو انه كان محافظ بيبطل فيه فرق جهود لكن انا + +447 +00:33:56,660 --> 00:33:58,940 +بتقول ان انت فيه فرق جهود hence no electric + +448 +00:33:58,940 --> 00:34:00,820 +potential can be associated by the induced + +449 +00:34:00,820 --> 00:34:03,220 +electric field the potential difference between + +450 +00:34:03,220 --> 00:34:07,820 +two points I and F هي القانون I and F لو هدي بيسوي + +451 +00:34:07,820 --> 00:34:12,400 +هدي بتطلع Zerowhich would be zero for a closed + +452 +00:34:12,400 --> 00:34:15,340 +path اللي تاوي شراحته contrary to the induced + +453 +00:34:15,340 --> 00:34:19,200 +electric field contrary .. so ايش دول عندي؟ + +454 +00:34:19,200 --> 00:34:22,140 +بيقولوا كيف اتجاهوا المجال الكهربائي؟ كيف بيدعرف + +455 +00:34:22,140 --> 00:34:26,940 +اتجاهه؟ هاجيت اتجاه المجال الكهربائي لو عندي مجال + +456 +00:34:26,940 --> 00:34:32,960 +كهربائي متجه الشمال و شحن موجبة وين بتروح؟ شمال + +457 +00:34:32,960 --> 00:34:37,120 +براو طيب لو قلتلكم شحن موجبة تتحرك شمال كيف اتجاه + +458 +00:34:37,120 --> 00:34:41,750 +المجال؟ شمالإذا اتجاه المجال هو اتجاه الشحنات + +459 +00:34:41,750 --> 00:34:45,210 +الموجبة حركتها ولا لأ؟ حلو، لو شحنة موجبة بتروح + +460 +00:34:45,210 --> 00:34:50,310 +شمال، الطيار كيف اتجاهه؟ برضه شمال، إذا اتجاه + +461 +00:34:50,310 --> 00:34:54,270 +المجال الكهربائي و اتجاه الطيار مع بعض ولا لأ؟ اه + +462 +00:34:54,270 --> 00:34:58,980 +طيب اتجاه الطيار كيف حددته؟ مش by lens؟اذا برضه + +463 +00:34:58,980 --> 00:35:02,280 +تجاه المجال اعمله مع الـ Lens نفس اللي بتعمله مع + +464 +00:35:02,280 --> 00:35:05,460 +التيار المستحقات اعمله مع المجال المستحقات + +465 +00:35:05,460 --> 00:35:09,540 +فبيقوللي the direction of the induced electric + +466 +00:35:09,540 --> 00:35:14,540 +field is determined by Lens's rule بس قدت Lens + +467 +00:35:14,540 --> 00:35:20,000 +بيفهم المثال اللي احنا مانا نشتغل عليه بيقوللي a + +468 +00:35:20,000 --> 00:35:24,940 +long solenoid ذاكرين ال solenoid ال solenoid + +469 +00:35:24,940 --> 00:35:30,940 +الحلزوني جددش المجال براو جوه uniform و بيسوي ميو + +470 +00:35:30,940 --> 00:35:34,860 +نوت ان في ال I عدا من اكتبه بيقول هذا سيلونود لونج + +471 +00:35:34,860 --> 00:35:39,480 +بدي احط شباب و ارسم مقطع منه اعملوا غيرك و ارسموه + +472 +00:35:39,480 --> 00:35:43,680 +مش بدي باين قدامي دائرة و باقى الدوائر جوه اللوح + +473 +00:35:44,640 --> 00:35:48,680 +تمام of radius capital R ما هو الصوعة نص قطرها + +474 +00:35:48,680 --> 00:35:53,800 +capital R has N turns per unit of wire per unit + +475 +00:35:53,800 --> 00:35:58,440 +length اعتبريها N and carries a current given by + +476 +00:35:58,440 --> 00:36:07,340 +التيار شباب المعطى by I بتساوي I maximum cosine + +477 +00:36:07,340 --> 00:36:12,120 +omega T هي التيارة اتانية التيار ثابت مع الزمان + +478 +00:36:12,120 --> 00:36:16,720 +ولا بتغير مع الزمانبتغير مع الزمن طيب بالتالي مجال + +479 +00:36:16,720 --> 00:36:20,300 +السيلونويد ثابت مع الزمن او بتغير مع الزمن؟ بتغير + +480 +00:36:20,300 --> 00:36:25,200 +مع الزمن تمام بقول هي السيلونويد هي لفة و باقي + +481 +00:36:25,200 --> 00:36:31,680 +اللفات جوا الحيطة تمام و الطيار هيدل قيمته مش + +482 +00:36:31,680 --> 00:36:33,160 +مشكلة قللي + +483 +00:36:37,050 --> 00:36:47,370 +Calculate the induced + +484 +00:36:47,370 --> 00:36:50,370 +electric field inside and outside the solenoid + +485 +00:36:54,020 --> 00:36:56,560 +من وين جاي؟ من المجال المغناطيسي المجال المغناطيسي + +486 +00:36:56,560 --> 00:36:59,160 +بتغير مع الزمان ولا بتغيرش مع الزمان؟ بتغير مع + +487 +00:36:59,160 --> 00:37:02,260 +الزمان لأن الطيارة بتغير مع الزمان إذا الفكس متغير + +488 +00:37:02,260 --> 00:37:04,820 +قال لي إذا في عندك مجال كهربائي هذا المجال + +489 +00:37:04,820 --> 00:37:08,880 +الكهربائي موجود في المنطقة قال لي أوجد ليه هنا و + +490 +00:37:08,880 --> 00:37:12,880 +هنا عند نقطة جوا عند نقطة برا كله بسيطة قال لي + +491 +00:37:12,880 --> 00:37:17,400 +أعمل لوب حتى لو وهميه أنا بديه جوا إذا أعمل لوب + +492 +00:37:17,400 --> 00:37:22,890 +وهميه solutionبقول لت فيرس درو ان اميجينيا بيكلز + +493 +00:37:22,890 --> 00:37:26,730 +لوب of radius small r لإنه بيديها دوه إذا اللوب + +494 +00:37:26,730 --> 00:37:29,470 +تبعت هيك بدي أجيبها وكأنه لو بقوللي اودي اتشدت + +495 +00:37:29,470 --> 00:37:35,170 +المجال مع المخلصة عند النقطة هذه عملت loop الآن ما + +496 +00:37:35,170 --> 00:37:38,590 +زال عملت ال loop انتهت بقدر أجيب ال flux على ال + +497 +00:37:38,590 --> 00:37:43,230 +loop هادي ولا لأ بقدر أجيب ال flux ال flux كيف هذه + +498 +00:37:43,230 --> 00:37:47,880 +ال loop عملتلي مساحةولا لأ بديل المساحة هذه جدش + +499 +00:37:47,880 --> 00:37:52,600 +فيها flux ايش ال flux بساوي بي في ايه هل المساحة + +500 +00:37:52,600 --> 00:37:55,760 +فيها بي و لا فيش فيها بي فيها بي و ال a بتاعكم + +501 +00:37:55,760 --> 00:38:00,220 +جيبوها ماهي دائرة مساحة دائرة خلاص اذا بجيب ال + +502 +00:38:00,220 --> 00:38:03,340 +flux بقول + +503 +00:38:04,250 --> 00:38:08,530 +The magnetic flux through the area enclosed by + +504 +00:38:08,530 --> 00:38:14,230 +this loop is بقول Phi M بتسوي بيه ضد ال a بيه في a + +505 +00:38:14,230 --> 00:38:19,790 +في cos θ cos θ صفر او 180 درجة اذا لا واحد لا ناقص + +506 +00:38:19,790 --> 00:38:25,830 +واحد بتعتبرها واحد بيه هي ميو نوت in في ال I وA + +507 +00:38:25,830 --> 00:38:31,990 +مساحة الدائرةهذا هو I wallet ميو نوت in في ال I + +508 +00:38:31,990 --> 00:38:35,570 +وهي مساحة الدائرة بدل I جيبت قيمة I I maximum + +509 +00:38:35,570 --> 00:38:41,550 +cosine omega T هاي ال flux تمام شباب طبعا بدي اتبع + +510 +00:38:41,550 --> 00:38:45,050 +شغلة معينة عشان بس ماتطلش معانا الأمور انا هذا ال + +511 +00:38:45,050 --> 00:38:55,330 +flux أصله قانونه ال flux انا عندي هاي + +512 +00:38:55,330 --> 00:39:01,080 +ال fluxعشان يطلع بي ضد ال a التي بتكون بي constant + +513 +00:39:01,080 --> 00:39:06,120 +uniform طيب هذه انا طلعتها برا مع انك انت + +514 +00:39:06,120 --> 00:39:10,180 +بتقولليها متغيرة مرة بدي افضلها و مرة بتطلعها ثابت + +515 +00:39:10,180 --> 00:39:13,840 +ليش هنا بقدر اطلعها برا و هنا بقدرش اقول افضلها + +516 +00:39:13,840 --> 00:39:18,020 +سفر انا هيك بدي اطلعها برا بقول ان انا اطلعها برا + +517 +00:39:18,020 --> 00:39:22,480 +تصير بي ضد دي اي صادد دي اي طلعتها برا تباركتها + +518 +00:39:22,480 --> 00:39:25,940 +uniform ثابتة طلعتها برا و هنا انا بدي افضلها شباب + +519 +00:39:32,670 --> 00:39:36,850 +هنا مثلا او هنا احكي + +520 +00:39:39,070 --> 00:39:44,070 +بالظبط هذه ثابتة بالنسبة لل area هذه متغيرة + +521 +00:39:44,070 --> 00:39:47,690 +بالنسبة للزمن فلما انا اكمل على ال x و ال y تعتبر + +522 +00:39:47,690 --> 00:39:51,530 +ثابتة بطلعها برا التكامل هنا حتى لو كانت ثابتة + +523 +00:39:51,530 --> 00:39:55,430 +بالنسبة لل x و ال y لكن انا بفضل بالنسبة للزمن وهي + +524 +00:39:55,430 --> 00:39:58,250 +متغيرة بالنسبة للزمن فبالتالي ممكن افضلها يعني + +525 +00:39:58,250 --> 00:40:03,250 +بمعنى اخر هجي ال dxعلى دي T ممكن تساوي سفر وممكن + +526 +00:40:03,250 --> 00:40:06,430 +ما تساوي السفر صح او لا بتساوي سفر لو هدا ال X + +527 +00:40:06,430 --> 00:40:08,730 +ممكن تدعوه بالزمان لكن لو انها دعوه بالزمان بتفقد + +528 +00:40:08,730 --> 00:40:11,990 +تساوي السفر مظبوط ولا لأ؟ فهذه نفس القضية فبديش + +529 +00:40:11,990 --> 00:40:13,850 +واحد يقول انت مرة بيقول انها uniform ومرة بيقول + +530 +00:40:13,850 --> 00:40:17,890 +انها متغيرة هي uniform يعني constant as a function + +531 +00:40:17,890 --> 00:40:21,310 +of position لكن ممكن تكون variable as a function + +532 +00:40:21,310 --> 00:40:27,870 +of T تمام طلعت الفلكس حلو الان حط القانون بيقول + +533 +00:40:27,870 --> 00:40:33,290 +القانون اللي انا حكيته هذا هوشباب هذا ال side + +534 +00:40:33,290 --> 00:40:37,150 +دائما هذه بتطلع برا ال dot of product مش موجود و + +535 +00:40:37,150 --> 00:40:41,470 +DS محيط اللوب اللي اخي انت اخترتها اللوب الحمراء + +536 +00:40:41,470 --> 00:40:44,910 +تمام هذه دائما اللوب اللي اخترتها ال imaginary + +537 +00:40:44,910 --> 00:40:49,150 +loop محيطها زي قانون امبير ذاكرينه زي قانون امبير + +538 +00:40:49,150 --> 00:40:53,890 +اللوب محيطها و هذه ايه بتطلع برا طلع هذه برا هذه + +539 +00:40:53,890 --> 00:40:59,960 +طبعا انا فضلت بس هذه ايش تفضل كل side شبابمصبوط في + +540 +00:40:59,960 --> 00:41:03,580 +سالب مع سالب راحت الكو ساين لما فضلها سالب ساين و + +541 +00:41:03,580 --> 00:41:07,840 +تطلع أميجا برا فضلتها هجتنيجي لهذه هذي بيصير + +542 +00:41:07,840 --> 00:41:11,020 +باسيمتري بيقول إن هذي E ثابتة و ال dot product + +543 +00:41:11,020 --> 00:41:16,880 +tangent فبصير عنده بهذا الشكل E برا دي أس تكملها + +544 +00:41:16,880 --> 00:41:20,220 +محيط ال loop محيط ال loop و حتى في هذهك بيطلع + +545 +00:41:20,220 --> 00:41:26,200 +الجواب مافيش فيها مشكلة ساعتها طلعت Eزي ما انتوا + +546 +00:41:26,200 --> 00:41:29,980 +شايفين هجيب في حلقة جيبت جوا قال برا to calculate + +547 +00:41:29,980 --> 00:41:32,000 +the electric field outside قال انا اختار ال loop + +548 +00:41:32,000 --> 00:41:38,020 +برا هذا هي بده برا يعني بده هيك هي بده ايه هنا + +549 +00:41:38,020 --> 00:41:42,170 +اختارت loopحلو بقول هذه اللوب الحمرة يجيبني ال + +550 +00:41:42,170 --> 00:41:45,750 +reflex عليها الآن بدي ال reflex عليها نرجع الحيطة + +551 +00:41:45,750 --> 00:41:49,750 +و اللوح جيبني مساحة اللوح على مساحة الحيطة مساحة + +552 +00:41:49,750 --> 00:41:52,910 +اللوح هيتقب بي موجودة على كل مساحة الحمرة و لا بس + +553 +00:41:52,910 --> 00:41:56,050 +عاجزه إذا أنت بدك الآن لما تحتب ال reflex و تقول + +554 +00:41:56,050 --> 00:42:01,050 +بي في إيه بدك إيه الصمرة و لا الحمرة بس الصمرة لأن + +555 +00:42:01,050 --> 00:42:04,550 +الحمرة مش كلها فيها مجال مغناطيسي تمام هيك؟ هذا + +556 +00:42:04,550 --> 00:42:06,610 +trick كتير في السؤال البيجير كيف نعرضها نعمل احنا + +557 +00:42:06,610 --> 00:42:11,990 +بنجيب دويرة زي هيكأو من اديك نص خطرها خمسة متر ولا + +558 +00:42:11,990 --> 00:42:16,530 +حاجة مولاك المجال المناطيسي بس هنا موجودبس هنا + +559 +00:42:16,530 --> 00:42:20,230 +بقولك اوديد ال flux على اللوبة الدائرية بس مساحة + +560 +00:42:20,230 --> 00:42:25,170 +المربع بس انا بدي ال flux حتى لو بدي ال flux اللي + +561 +00:42:25,170 --> 00:42:30,170 +هنا لإن هنا مافيشش و لو هذه اتنين متر بقول أربعة + +562 +00:42:30,170 --> 00:42:34,270 +في بي لإن مساحة اتنين في اتنين تمام فهنا بيقول لي + +563 +00:42:34,270 --> 00:42:37,250 +to calculate the electric field outside the sphere + +564 +00:42:37,250 --> 00:42:40,350 +the closed path has now a radius R أكبر من كمية + +565 +00:42:40,350 --> 00:42:44,730 +العرهار ال closed path اللي هي هذهبس الـ magnetic + +566 +00:42:44,730 --> 00:42:50,810 +field محصور في منطقة معينة confined only to the + +567 +00:42:50,810 --> 00:42:54,010 +region R أقل من capital R بس المنطقة السودة هذه + +568 +00:42:54,010 --> 00:42:58,790 +the magnetic flux through the path is فاي بسوا ميو + +569 +00:42:58,790 --> 00:43:04,830 +نوت هادي N في I في إيش في باقي capital R تربيع مش + +570 +00:43:04,830 --> 00:43:09,330 +اسمه R تربيع بس السمراء خدت بس السمراء طلعتها + +571 +00:43:09,330 --> 00:43:13,410 +الفاي تمام اللي أنا بقوله يكتب القانونحاجات هذه + +572 +00:43:13,410 --> 00:43:17,950 +الـDS الحمرة ولا السامرة؟ هذه دايما الحمرة .. هذه + +573 +00:43:17,950 --> 00:43:20,650 +دايما الحمرة .. هذه دايما .. طبعا هنا الحمرة مش + +574 +00:43:20,650 --> 00:43:23,470 +عندكم في الامتحان مافيش حمرة او حمرة .. اللوب ال + +575 +00:43:23,470 --> 00:43:27,050 +imaginary .. هذه دايما محيط اللوب ال imaginary + +576 +00:43:27,050 --> 00:43:31,270 +اللي انت عملته .. هذه دايما .. لكن هذه بتعتمد حسب + +577 +00:43:31,270 --> 00:43:35,390 +ال test placeboتمام قاللي هذه بتطلع برا هذه اتنين + +578 +00:43:35,390 --> 00:43:40,530 +by small r و هذه هيها فضلها بالنسبالي الزمن تفاضل + +579 +00:43:40,530 --> 00:43:44,050 +ال cosine سالب sign و بتطلع omega في في القانون + +580 +00:43:44,050 --> 00:43:47,470 +السالب بروح السالب مع السالب فضلت طلعت بهذا الشكل + +581 +00:43:47,470 --> 00:43:52,090 +قاللي طلع هذه هيها اتنين by small r مش كابة ال R + +582 +00:43:52,090 --> 00:43:57,370 +الحمرة طلع طلع ال E بطلع ال E هي طلعت ال E هيك + +583 +00:43:57,370 --> 00:44:00,790 +بيكون انتهى الشطر تمام + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE_raw.json new file 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هذا هو، طب انا اضلع، بدي اضلع حدا؟ ولا بدي اضلع حدا لان؟ بدي اضلع حدا، لان اضلع حدا في بي؟ طب هات اضلع كيف بيطيّع عليه، لا فوق ولا تحت؟ زي هذا، اذا نفسي اتجاه القوة او مش نفسي اتجاه القوة؟", "tokens": [45636, 995, 41950, 1829, 9640, 3660, 9673, 14851, 5016, 26895, 3660, 5296, 9957, 11622, 4724, 1829, 39648, 19446, 3615, 49429, 48812, 3215, 12399, 19446, 3615, 12399, 11331, 9566, 48127, 3224, 10943, 4117, 4724, 23557, 12399, 37893, 23758, 31439, 12399, 23032, 3555, 1975, 8315, 1975, 11242, 1211, 3615, 12399, 4724, 16254, 1975, 11242, 1211, 3615, 11331, 28259, 22807, 49429, 4724, 16254, 1975, 11242, 1211, 3615, 11331, 28259, 5296, 7649, 22807, 4724, 16254, 1975, 11242, 1211, 3615, 11331, 28259, 12399, 5296, 7649, 1975, 11242, 1211, 3615, 11331, 28259, 8978, 4724, 1829, 22807, 23032, 3555, 8032, 9307, 1975, 11242, 1211, 3615, 9122, 33911, 4724, 1829, 9566, 1829, 11703, 3615, 47356, 12399, 20193, 6156, 30543, 49429, 6055, 33753, 22807, 30767, 1829, 23758, 12399, 1975, 15730, 8717, 36178, 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a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..e1b6d51d690587e5c50ae1f432aa897acdd9b440 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE_raw.srt @@ -0,0 +1,2336 @@ +1 +00:00:10,020 --> 00:00:15,260 +زي ما حكينا اخر حاجة اخدناها هو هذا المثال و في + +2 +00:00:15,260 --> 00:00:18,980 +مثال فيه سؤال بس عشان كده انا بدي ابدأ فيه في سؤال + +3 +00:00:18,980 --> 00:00:24,040 +27 في الكتاب حاكي لو في طائرة هليكوبتر طول الريشة + +4 +00:00:24,040 --> 00:00:29,350 +تبعتها 3 مترو بتتحرك او بتلف ب 20 revolution per + +5 +00:00:29,350 --> 00:00:32,870 +second بتعمل عشان دورة في الثانية طبعا عشان دورة + +6 +00:00:32,870 --> 00:00:36,610 +في الثانية كتيرة يعني فيه سرعة و اعتبر بيه بتسوي + +7 +00:00:36,610 --> 00:00:40,310 +نص جاوس طبعا احنا بيه اتفقنا عليها ممكن تكون اقل + +8 +00:00:40,310 --> 00:00:44,760 +من كده كبير كتير بيه بتتفاوت تبقى تتكون ارضيةبتكون + +9 +00:00:44,760 --> 00:00:48,600 +أكبر ما يكون عند الأقطاب شباب لإن هي زي المغناطيس + +10 +00:00:48,600 --> 00:00:51,500 +عند القطب بتكون أكتر ما يكون و أقل ما يكون بتكون + +11 +00:00:51,500 --> 00:00:56,360 +عند خاطر السواق فبتتراوح بين 0.2 و 0.6 هنا فهو في + +12 +00:00:56,360 --> 00:00:59,020 +هذا المثال قال اعتبرها 0.5 فانا ماعرفش في غزة + +13 +00:00:59,020 --> 00:01:03,740 +بالظبط جديش ممكن تكون بس ممكن تكون 0.4تقريبا لكن + +14 +00:01:03,740 --> 00:01:07,840 +بدأ حسابات اما رجعتش للأرقام دلوقت لو هذه P كانت + +15 +00:01:07,840 --> 00:01:13,540 +نص جاوس يعني خمسين مايكرو تسلا وهذه Omega عبارة عن + +16 +00:01:13,540 --> 00:01:18,300 +عشرين evaluation per second وهذه L عبارة عن تلاتة + +17 +00:01:18,300 --> 00:01:21,640 +متر لو حسبت .. بقول هناك في السؤال سبعة وعشرين + +18 +00:01:21,640 --> 00:01:24,840 +حسبلي فرخ الجوات بين طرفي الريشة تبعتي الهيلوكبتر + +19 +00:01:24,840 --> 00:01:31,180 +فطلعت حوالي 0.0028 volt + +20 +00:01:35,640 --> 00:01:39,280 +الواحد لو مسكها بالكهرب اذا الواحد و نصف فورت مش + +21 +00:01:39,280 --> 00:01:46,660 +خطيرة فكيفها دى فحكينا انه من الشغلات اللى معروفة + +22 +00:01:46,660 --> 00:01:51,260 +انهالمجال المغناطيسي تبع القرى الأرضية برغم وجوده + +23 +00:01:51,260 --> 00:01:55,180 +لكن وجوده مايعملش الخطورة ومايعملش الخطورة اللى + +24 +00:01:55,180 --> 00:02:00,340 +ممكن تنوجد في أي حاجة طبيعية اذا كان طائرة ولا اي + +25 +00:02:00,340 --> 00:02:03,560 +حاجة تانية مجال المغناطيسي يعتبر صغير وبالتالي + +26 +00:02:03,560 --> 00:02:09,650 +تأثيره بكون قليل جداتمام طبعا لحد الان مصدر المجال + +27 +00:02:09,650 --> 00:02:13,210 +المغناطيسي عليه كلام لحد الان يعتبر شوية من الأثار + +28 +00:02:13,210 --> 00:02:16,570 +العلمية المجادرين بالظبط يفسروا ايش مصدر المجال + +29 +00:02:16,570 --> 00:02:20,530 +المغناطيسي لحد الان في تفسيرات كتيرة وفي تفسير + +30 +00:02:20,530 --> 00:02:24,430 +برغم تفسير مافيش تفسير منطقي ايش أوجد هذا المجال + +31 +00:02:24,430 --> 00:02:29,150 +المغناطيسي باقوال عرضية نفت الأثر على المواد + +32 +00:02:29,150 --> 00:02:33,710 +المغناطيسية؟أي مواد مثلا مثلا كانت plastic كانت + +33 +00:02:33,710 --> 00:02:36,510 +plastic طبعا شوف كل المواد حطها في مجال مراتيسي + +34 +00:02:36,510 --> 00:02:39,890 +بتتأثر بطريقة او باخره لكن المشكلة المواد احنا في + +35 +00:02:39,890 --> 00:02:42,130 +الشرطر اللي جابله في الشغلات اللي احنا جمناها لإنه + +36 +00:02:42,130 --> 00:02:45,130 +مش معنين فيها كيف بيجسم المواد إلى بره magnetic, + +37 +00:02:45,210 --> 00:02:49,640 +diamagnetic وferromagneticبطبيعة المادة حسب إيش + +38 +00:02:49,640 --> 00:02:54,780 +تصنف طبعا تصنف كده إلها دعوة بالـ Mu و بالإبسلون + +39 +00:02:54,780 --> 00:02:58,060 +في حاجة مسمية susceptibility احنا مالناجعة فيها + +40 +00:02:58,060 --> 00:03:03,300 +فحسب طبيعة المادة كيف تصنف مغناطيسيا بالتالي كيف + +41 +00:03:03,300 --> 00:03:06,960 +تتأثر بالمجال المغناطيسي كل مادة ممكن تتأثر + +42 +00:03:06,960 --> 00:03:11,720 +بالمجال المغناطيسي بدرجتين أو بقرة حسب تركبتها طب + +43 +00:03:11,720 --> 00:03:15,100 +لو عملنا مثلا جهاز مثل الجلم اللي فيه ده خلينا + +44 +00:03:15,100 --> 00:03:15,640 +نصرف شوية + +45 +00:03:19,450 --> 00:03:23,110 +يعني بتدي الجلم هذا .. اتحكوا فيه و جيبوا الجلم + +46 +00:03:23,110 --> 00:03:27,760 +يعني .. ممكن نعمل مجالي ..طبعا .. خلّيني أقول + +47 +00:03:27,760 --> 00:03:30,940 +نظرية ممكن لكن يمكن بداك مجال منناطيسي قوي جدا .. + +48 +00:03:30,940 --> 00:03:33,620 +نهيان النقطة .. نهيان النقطة بترجع .. يعني دايما + +49 +00:03:33,620 --> 00:03:36,760 +الشغلات النظرية زيها عمّا نحكي ال super conductors + +50 +00:03:36,760 --> 00:03:39,860 +.. نظرية حلوة .. super conductor .. بس إيش اللي + +51 +00:03:39,860 --> 00:03:42,620 +يجيبه .. بداك درجة حرارة مخالبة جدا .. هاي اتنين + +52 +00:03:42,620 --> 00:03:45,240 +يجيش يجيبها .. طب ماهيه بتكلف نكت ولا مالي يجيب + +53 +00:03:45,240 --> 00:03:48,120 +الحاس .. خلاص مالي يجيب الحاس مخلص .. فبالآخر + +54 +00:03:48,120 --> 00:03:51,800 +نظريا أه .. بس بداك مجال منناطيسي قوي جدا عشان + +55 +00:03:51,800 --> 00:03:52,280 +يأثر عليها + +56 +00:03:56,250 --> 00:03:58,830 +حديث Ferromagnetic Material اللي هو طول تتأثر و + +57 +00:03:58,830 --> 00:04:00,810 +كمان ميزة اكتر جيب من المجال المرماطيسي اللي انت + +58 +00:04:00,810 --> 00:04:03,990 +جبته وتعبت عنه بتبقى موجودة غير انها بتتفقد + +59 +00:04:03,990 --> 00:04:07,310 +فالشغلات النظرية موجودة و عشان كده بيه قيمتها + +60 +00:04:07,310 --> 00:04:13,090 +محدودة و احنا حكينا تسلا شغل كبيرة كبكدار تمر الان + +61 +00:04:13,090 --> 00:04:17,790 +شباب احنا اتفقنا في paradise قال في paradise انه + +62 +00:04:17,790 --> 00:04:20,630 +في عندي inf بساوي سالب + +63 +00:04:24,040 --> 00:04:29,980 +مجنتك طبعا على دي تيك هذه قانون فرضة هذه انحطت + +64 +00:04:29,980 --> 00:04:33,540 +عشان ال conservation of energy و كنا فلتوها على + +65 +00:04:33,540 --> 00:04:39,020 +لينزي يفسرها فبعا هذا فرق جهود شباب صح ولا لأ هذا + +66 +00:04:39,020 --> 00:04:42,880 +فرق جهود لما انا احط هنا سالب او موجب ايش بفرق + +67 +00:04:42,880 --> 00:04:46,980 +موجب عن سالب؟معاقس .. اتجاه .. انه انا لما اقول + +68 +00:04:46,980 --> 00:04:51,400 +هذه نفترض انه va ناقص vb هذي تلاقي زايد او ناقص + +69 +00:04:51,400 --> 00:04:55,460 +اذا زايد هذي اعلى من هذي اذا ناقص هذي اعلى من هذي + +70 +00:04:55,460 --> 00:04:58,880 +مظبوط ولا لا؟ اذا ان الشرط السالب هنا بتقنى من + +71 +00:04:58,880 --> 00:05:01,980 +اعلى من التاني وبالتالي اتجاه التيار بنعكس لما + +72 +00:05:01,980 --> 00:05:05,260 +تكون هذه العالية موقع الطيار بيجي من العالى للواقع + +73 +00:05:05,260 --> 00:05:07,960 +لما تكون هذه العالية موقع الطيار بيجي من بيه لإيه؟ + +74 +00:05:07,960 --> 00:05:12,030 +اذا الحكاية السالب اللي وجدت هناعشان تديني في + +75 +00:05:12,030 --> 00:05:17,720 +معاكسة ثلاث مجبع طيب الشغل التاني بيقولي طب هاديفي + +76 +00:05:17,720 --> 00:05:21,100 +عندك حالين هذه ال flux عشان تطلع لها قيمة لازم + +77 +00:05:21,100 --> 00:05:24,040 +تكون متغيرة ومش مش لازم تكون متغيرة لو هذه ال flux + +78 +00:05:24,040 --> 00:05:27,980 +ثابتة وفضلتها بالنسبة للزمن بيطلع قيمة لأ اذا عشان + +79 +00:05:27,980 --> 00:05:32,180 +يطلع حاجة لازم هذه تكون متغيرة صحيح؟ هذا فرضاي + +80 +00:05:32,180 --> 00:05:35,860 +بيقول عشان يكون في عندك induced inf لازم ال flux + +81 +00:05:35,860 --> 00:05:40,160 +تكون متغيرة بالنسبة للزمن حلو طب كيف تتغير؟ في + +82 +00:05:40,160 --> 00:05:43,960 +عندي فش الا احتمالين لا بتزيد لا بتانقص صح ولا لأ؟ + +83 +00:05:44,130 --> 00:05:48,130 +في اما التغير بالزيادة او التغير بالنقصان فهي + +84 +00:05:48,130 --> 00:05:51,790 +الاحتمالين اللي موجودين لا ثابتة لا بتزيد لا بتنقص + +85 +00:05:51,790 --> 00:05:57,710 +ثابتة سفر بتزيد في في في تغير في ال flux وبالتالي + +86 +00:05:57,710 --> 00:06:03,250 +في induced inf بتنقص برضه في induced inf جالي الآن + +87 +00:06:03,250 --> 00:06:09,530 +لو هذه بتزيد تفاضل الزيادة موجب صح لو بتنقص تفاضل + +88 +00:06:09,530 --> 00:06:16,860 +النقصان ايش سارب لان هذه زيادةوهذه النقصة تفاضلها + +89 +00:06:16,860 --> 00:06:24,020 +موجب وهذه تفاضلها سالب لو تنجس شباب بجيني سالب + +90 +00:06:24,020 --> 00:06:28,780 +وفيه سالب صار موجب بطل في معاكسة لو تزيد يكون + +91 +00:06:28,780 --> 00:06:34,200 +القانون عبارة عن المعاكسة فماذا يقول الانزلزلو؟ + +92 +00:06:34,200 --> 00:06:37,340 +يقول it tells us that the induced current + +93 +00:06:42,240 --> 00:06:52,060 +يجب ان يكون في اتجاه يجعل المجال + +94 +00:06:52,060 --> 00:06:56,710 +مغناطيسيبرضه بيولج مجال مغناطيسي هاجم طيار إجا من + +95 +00:06:56,710 --> 00:07:00,310 +مجال مغناطيسي و هو نفسه بيولج مجال مغناطيسي صار في + +96 +00:07:00,310 --> 00:07:04,610 +عندي مجالين المجال الأصلي و المجال المستحف بيكونوا + +97 +00:07:04,610 --> 00:07:07,990 +إما معاقد أو عكس بعيد بيقول لي it produces a + +98 +00:07:07,990 --> 00:07:11,550 +magnetic field to oppose the change in the + +99 +00:07:11,550 --> 00:07:17,230 +magnetic flux لازم يطلقلي طيار يعاكس التغير التغير + +100 +00:07:17,230 --> 00:07:21,780 +حالتينالقوة النارية يمكن تفسير باستخدام اتصالات + +101 +00:07:21,780 --> 00:07:23,040 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +102 +00:07:23,040 --> 00:07:28,600 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +103 +00:07:28,600 --> 00:07:33,280 +اتصالات اتصالات اتصالات + +104 +00:07:33,280 --> 00:07:34,180 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +105 +00:07:34,180 --> 00:07:34,180 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +106 +00:07:34,180 --> 00:07:34,580 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +107 +00:07:34,580 --> 00:07:43,220 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +108 +00:07:43,220 --> 00:07:46,120 +اتصالات + +109 +00:07:46,300 --> 00:07:50,340 +الـ Magnetic field الأصلي اتجاهه بحيث يولج لمجال + +110 +00:07:50,340 --> 00:07:56,200 +مغناطيسي عكس الأصلي طيب وإذا كان ال magnetic flux + +111 +00:07:56,200 --> 00:07:59,140 +decreasing if the magnetic flux through the loop + +112 +00:07:59,140 --> 00:08:04,300 +is decreasing decreasing هي سالب منها وفي سالب صار + +113 +00:08:04,300 --> 00:08:08,540 +موجة بطل في معاكسة في نفس ال directionالطريقة التي + +114 +00:08:08,540 --> 00:08:13,780 +يتم إستخدامها هي تجعلها تنتج مجموعة مغناطية في نفس + +115 +00:08:13,780 --> 00:08:18,340 +الطريقة التي هي مصدر المجموعة المغناطية نيجي + +116 +00:08:18,340 --> 00:08:23,960 +نشرحها أكتر بالتطبيقات هدول هدا هما نبدأ قاللي هذا + +117 +00:08:23,960 --> 00:08:30,080 +قاللي هذا مغناطيس هذا north ال north لما يقوللي + +118 +00:08:30,080 --> 00:08:35,040 +هذا هيك بتتحرك ال reflux بزيد ولا بنقصد؟بزيد مازال + +119 +00:08:35,040 --> 00:08:39,100 +بزيد في معاكسة معاكسة بين مين و مين بقولي معاكسة + +120 +00:08:39,100 --> 00:08:42,760 +بين المجال الأصلي و المجال اللي بيجي والده الطيار + +121 +00:08:42,760 --> 00:08:46,120 +المستحاصر اللي انت مدور عليه و أيه المجال الأصلي؟ + +122 +00:08:46,120 --> 00:08:49,520 +هو المجال الأصلي مين جابه؟ مشهده؟ مشهده North؟ هاي + +123 +00:08:49,520 --> 00:08:53,580 +اتجاه المجال الأصلي قاللي معاكسة الأصلي هيك + +124 +00:08:53,580 --> 00:08:57,940 +المعاكسة بتعني هيك حط ابهامك عكس الخطوط الزرق و + +125 +00:08:57,940 --> 00:09:04,740 +شوف كيف الطيار هك ولا لأ هاي الطياربيجي السلك هيو + +126 +00:09:04,740 --> 00:09:09,860 +من تحت وبيطلع هيك هاي تياري المستحث هذا التياري + +127 +00:09:09,860 --> 00:09:15,620 +المستحث بيولد مجال بهذا الشكل عكس هذا عكس الأصلي + +128 +00:09:15,620 --> 00:09:22,900 +ثم نيجي لهذا هذا الآن بيقولك هذا مروح مبعد يعني + +129 +00:09:22,900 --> 00:09:26,460 +ايش ال flux بيزيج و لا بينقص؟ بينقص يعني بيكون + +130 +00:09:26,460 --> 00:09:30,540 +الأصلي و المستحث مع بعض اللي هو أصلي كيف هيك خلي + +131 +00:09:30,540 --> 00:09:35,810 +بهمك معاه إذا كيف خيارك بيكون هيك؟أيوة مع أصابيع + +132 +00:09:35,810 --> 00:09:39,770 +الأربعة مع أصابيع الأربعة بيديمش الطيار هيك فهي + +133 +00:09:39,770 --> 00:09:47,430 +الطيار المسحث ادم يجيب كمان مثال هل بيقولي هذا + +134 +00:09:47,430 --> 00:09:53,070 +بيبعد يعني بينقص يعني مع بعد بس كلها دي South هيك + +135 +00:09:53,070 --> 00:09:57,610 +خد اصلاحك معاه لإن هو قاعد مع بعد هذا هو بيكون هيك + +136 +00:09:59,030 --> 00:10:04,110 +هذا بيزيد إذا معناته معاكسة هذا هيك بيضع اصبعي + +137 +00:10:04,110 --> 00:10:08,870 +عكسه فبديوا يكونوا تيار هيك فهذه قاعدة lens طيب + +138 +00:10:08,870 --> 00:10:15,470 +نجي للمثال السابق اللي انا خليني ارجعله برضه على + +139 +00:10:15,470 --> 00:10:20,870 +قاعدة lens اللي هو هذا ذاكرين + +140 +00:10:20,870 --> 00:10:27,070 +هذا؟ هجيت هذا و هو ماشي هيك بيزيد ولا بينجز و هو + +141 +00:10:27,070 --> 00:10:31,740 +ماشي هيك الفرقز بيزيد ولا بينجزو هو ماشي هيك، ماشي + +142 +00:10:31,740 --> 00:10:36,280 +المساحة بيزيد، اذا ال flux بيزيد، و هو ماشي هيك + +143 +00:10:36,280 --> 00:10:40,360 +بينقل، حياته هو ماشي هيك بيزيد، ال lens ايش بيقول + +144 +00:10:40,360 --> 00:10:45,320 +ايه؟ مع ولا عكس؟ عكس، الاصلي وين؟كيف تجاه الاصلة + +145 +00:10:45,320 --> 00:10:48,960 +انتوا اذا انا عكسها تبقى بها من وين بتودى دى كيف + +146 +00:10:48,960 --> 00:10:52,860 +الطيار بيكون مع عقارب الساعة ولا ضد عكس عقارب + +147 +00:10:52,860 --> 00:10:55,660 +الساعة high lens واحنا لما عملنا عكس عقارب الساعة + +148 +00:10:55,660 --> 00:10:59,000 +ذاكرين كيف قولنا هذه بيصير positive وهذه بيصير + +149 +00:10:59,000 --> 00:11:01,880 +negative الطيار بيكون هيك ولا لأ اذا تكون عكس + +150 +00:11:01,880 --> 00:11:07,500 +عقارب الساعة وهي شافين كيف قولنا هي عكس عقارب + +151 +00:11:07,500 --> 00:11:10,240 +الساعة هذه ده عاجبناها بدون lens high lens بيجيبها + +152 +00:11:10,240 --> 00:11:14,880 +نفسهالما يكون زيادة، لما يكون نقصان بعكس، طبعا لما + +153 +00:11:14,880 --> 00:11:18,260 +يكون نقصان شغلة منطقية بيصير النقصان فيها فوق و + +154 +00:11:18,260 --> 00:11:21,640 +البروتونات فيها تحت، مظبوط لأن V بتنعكس و بالتالي + +155 +00:11:21,640 --> 00:11:24,860 +بيصير الطيارة بالعكس، لذا ال lens بيجيب نفس الشغلة + +156 +00:11:33,400 --> 00:11:37,080 +تمام نشوف اللي هال مثال برضه على الانظر على كله + +157 +00:11:37,080 --> 00:11:40,780 +هذا مثال فش كتاب بحكي عن الموضوع هذا المثال مش + +158 +00:11:40,780 --> 00:11:45,820 +موجود فيه بصورة او باخره بيقول لي a square loop of + +159 +00:11:45,820 --> 00:11:49,200 +side L بيقول لو عندك loop عبارة عن مربع قدش تظهر + +160 +00:11:49,200 --> 00:11:49,720 +المربع + +161 +00:11:55,750 --> 00:12:00,850 +مقاومة R تتحرك + +162 +00:12:00,850 --> 00:12:07,590 +بسرعة ثابتة بي بتجذر في منطقة وهي بتجذر على منطقة + +163 +00:12:07,590 --> 00:12:13,310 +فيها مجال مغناطيسيfrom a region of width 3L in + +164 +00:12:13,310 --> 00:12:16,550 +which a uniform magnetic field B directed out of + +165 +00:12:16,550 --> 00:12:19,210 +the page as shown in the figure هذا هي هذه ال loop + +166 +00:12:19,210 --> 00:12:23,550 +كانت هنا صارت هنا صارت هنا صارت هنا تمشي قاعدة هذه + +167 +00:12:23,550 --> 00:12:26,710 +المنطقة فقط فيها مجال مغناطيسي out of the page + +168 +00:12:26,710 --> 00:12:31,030 +مجال مغناطيسي out of the page هنا فيه مجال؟ لأ هنا + +169 +00:12:31,030 --> 00:12:35,190 +فيه مجال بس هنا المجال بيقول لي إيش؟ إيش المطلوب؟ + +170 +00:12:35,190 --> 00:12:39,640 +ال plot of course بده تلات رسماتThe Flux أو الرسم + +171 +00:12:39,640 --> 00:12:43,500 +للفلوكس تاني رسم ل ال induced lymph ال induced + +172 +00:12:43,500 --> 00:12:49,770 +lymph هذه تالت رسم ل ال force ال forceand the + +173 +00:12:49,770 --> 00:12:53,990 +force in the loop as a function of x مع إيش بده + +174 +00:12:53,990 --> 00:12:57,490 +أصل مع X؟ إيش هي X؟ قال لي the position of the + +175 +00:12:57,490 --> 00:13:02,770 +right side of the loop X هو موضع هذا الضلع تعتبر + +176 +00:13:02,770 --> 00:13:06,350 +هذا سفر شباب لما يكون هذا الضلع حان، بده يكون X + +177 +00:13:06,350 --> 00:13:10,570 +سفر لما يكون هذا الضلع حان، إيش بده يكون X؟ أكبر L + +178 +00:13:10,570 --> 00:13:14,730 +كده إيش؟ تلاتة L طيب لما يكون هذا الضلع حان، هذا + +179 +00:13:14,730 --> 00:13:19,510 +الضلع وين بيكون؟ أربعة Lمش هنا مكون هدا هنا مكون + +180 +00:13:19,510 --> 00:13:23,210 +هدا هنا و هدا ال side كل ال بالاضافة لتلاتة ال + +181 +00:13:23,210 --> 00:13:29,070 +اربعة ال تمام هاي اكس هو موضع ال right side قال لي + +182 +00:13:29,070 --> 00:13:32,270 +يللا نرسم و نشوف بدي نحل احنا وياكم تعرف انت عملت + +183 +00:13:32,270 --> 00:13:36,130 +plotting في ال calculus ايه تمام solution قال لي + +184 +00:13:36,130 --> 00:13:40,490 +هين بدي ابدأ اش اول بدي ارسم ال flux عشان ارسم بدي + +185 +00:13:40,490 --> 00:13:46,990 +اعرف ايش قانون ال flux ال flux بسوء تكامل بضبط ال + +186 +00:13:46,990 --> 00:13:51,690 +dAمظبط ولا لأ؟ هجيت بقولي بيه uniform طلعها برا + +187 +00:13:51,690 --> 00:13:56,790 +اذا كامل ال دي ايه؟ بيه ضد ال ايه؟ كمان؟ ليه جي لك + +188 +00:13:56,790 --> 00:14:00,610 +ضد ال product؟ ضد ال product ال area عليكم و + +189 +00:14:00,610 --> 00:14:03,770 +المجال المغناطيسي عليكم إذا الزاوية zero كصان ال + +190 +00:14:03,770 --> 00:14:09,810 +zero كم؟ واحد إذا راه واحد هجيت لو بيه سفر كم + +191 +00:14:09,810 --> 00:14:16,930 +الفاقس؟ سفر مظبط ولا لأ؟ طيب السؤال الآن شايفين + +192 +00:14:16,930 --> 00:14:23,870 +الحيطة؟بتعرفوا مساحتها؟ بتقدروا يجيبوها؟ لو معاكم + +193 +00:14:23,870 --> 00:14:27,450 +متر بتجيبوا مساحتها ولا لأ؟ ماعرفوا مساحتها فجيت + +194 +00:14:27,450 --> 00:14:30,830 +في مجال مغناطيسي على الحيطة بس مش في كل الحيطة بس + +195 +00:14:30,830 --> 00:14:34,170 +في المنطقة تحت اللوح في مجال مغناطيسي سؤالي الآن + +196 +00:14:34,170 --> 00:14:37,210 +جديش ال flux على الحيطة على الحيطة إيش كنتوا + +197 +00:14:37,210 --> 00:14:42,070 +يخمنوه؟ المجال المغناطيسي معروف بقيمته تقولوا بيه + +198 +00:14:42,070 --> 00:14:45,530 +في مساحة الحيطة و لا في مساحة اللوحبس المساحة اللي + +199 +00:14:45,530 --> 00:14:49,670 +اخر لأن انتوا بدكم المساحة اللي فيها مجال مغناطيسي + +200 +00:14:49,670 --> 00:14:56,370 +هذه بدكم إياها لأ تمام إذا هذه طلعوا عليها طول ما + +201 +00:14:56,370 --> 00:15:01,350 +هي ماشية برا جاتيش ال flux لما تبدأ تفوت بدكم كل + +202 +00:15:01,350 --> 00:15:03,710 +مساحتها ولا بس المساحة اللي دي و المنطقة الصفراء + +203 +00:15:03,710 --> 00:15:07,970 +بس المنطقة اللي صفراء طيب هذه المنطقة الصفراء + +204 +00:15:07,970 --> 00:15:12,020 +عملها شويه شويه بزيد ولا لأ؟ وقتش بتثبتلما كلها + +205 +00:15:12,020 --> 00:15:16,040 +تفوت طول ما هي كلها جوه و ال flux بيثبت لما بيبدأ + +206 +00:15:16,040 --> 00:15:20,160 +تثبت بقى تطلع بيبدأ ينقص و لما كلها تطلع برا بيرجع + +207 +00:15:20,160 --> 00:15:27,360 +zero نصم هى اللى هى يرسم هى ال Y axis هى ال flux Y + +208 +00:15:27,360 --> 00:15:32,120 +X axis تمام هى السفر تبعى لما تصل ال right side + +209 +00:15:32,120 --> 00:15:36,280 +هنا ده اللى هى هنا هى ال flux و هى اللى بتبعتك + +210 +00:15:36,280 --> 00:15:43,420 +جديس ال flux اللى بتمشي هيكفى flux لأنه ماجدش بيه + +211 +00:15:43,420 --> 00:15:50,120 +سفر اذا من السالب للسفر ماجدش ال flux هى السفر قبل + +212 +00:15:50,120 --> 00:15:56,300 +كده فى flux اذا معناته هى السفر هى ال flux كان في + +213 +00:15:56,300 --> 00:16:01,160 +الاول سفر بدينها جيت بدها تبدأ تفوت الان ال flux + +214 +00:16:01,160 --> 00:16:07,180 +ايش بيصير فيه؟ تشوف المنطقة الصفره بزيد ولا لأ انا + +215 +00:16:07,180 --> 00:16:09,860 +بدي المنطقة الصفره طول ما هى ماشي بدي احسبها + +216 +00:16:12,560 --> 00:16:19,520 +لما كلها تفوت لمّا كلها تفوت جدّيش X صارت لأ لإن + +217 +00:16:19,520 --> 00:16:25,120 +انا X بقعد هذا ببلاع هنا مش L لما تطور بلاع اذا + +218 +00:16:25,120 --> 00:16:29,040 +ميدال ال flux تزيد تزيد تزيد تزيد لما تساوي L اذا + +219 +00:16:29,040 --> 00:16:34,100 +بيقولي هاي هنا هاي صارت L هادي L طبعا ليش اعملت خط + +220 +00:16:34,100 --> 00:16:37,560 +مستقيم لإن الصرعة ثابتة شباب الصرعة ثابتة لو + +221 +00:16:37,560 --> 00:16:40,470 +الصرعة لم تثابت بدي اعملها curveلكن صوعة ثابتة + +222 +00:16:40,470 --> 00:16:43,610 +معناته straight line لأن ال straight line ماله + +223 +00:16:43,610 --> 00:16:49,490 +ثابت ولا لأ تمه فاتت هاجدت ال flux بتتغير بتتغير + +224 +00:16:49,490 --> 00:16:52,670 +ال flux هاجدت يالله امشي مين .. مين يقول ال flux + +225 +00:16:52,670 --> 00:16:57,210 +اتغير ولا ماتغيرش ثابت نفس القيمة .. نفس القيمة + +226 +00:16:57,210 --> 00:17:00,930 +تمه طول ما هو ماشي هيك وهو نفس القيمة لديش يعني + +227 +00:17:00,930 --> 00:17:05,030 +بقدر اقولها ليه نفس القيمة اللي وصلها لآخر بضرع + +228 +00:17:05,030 --> 00:17:09,060 +كاملة لما وصل هناك ايش صار فيهاالمنطقة السافرة + +229 +00:17:09,060 --> 00:17:14,600 +بتزيد ولا بتنقص؟ بتنقص لما كله يطلع برا ترجع سفر + +230 +00:17:14,600 --> 00:17:23,860 +فحتى X مش ساوي أربعة L رجعت هنا ثم بعد كده بتدلها + +231 +00:17:23,860 --> 00:17:29,360 +سفر اتروح ان شاء الله من هنا لما تصل خانونس بيفرق + +232 +00:17:29,360 --> 00:17:38,540 +معايا سفر هاي ال flux خلصت0 زاد ثم ثبت ثم نجس ثم + +233 +00:17:38,540 --> 00:17:43,020 +نعود لـ0 فى مشكلة يا شباب هاي رسمة ال flux هاي أول + +234 +00:17:43,020 --> 00:17:48,040 +رسمة حلو قاللي أرسم ال inf بقوللي هجيت سهل القضية + +235 +00:17:48,040 --> 00:17:52,460 +بداش تفكير بقوللي ال inf تساوي تفضل ال flux + +236 +00:17:52,460 --> 00:17:57,460 +بتعرفوا تفضلوا الرسمات؟التفاضل من الرسم تعفوا عمكم + +237 +00:17:57,460 --> 00:18:03,520 +انا راض عليكم اه لأنه التفاضل هو من المماس الخط + +238 +00:18:03,520 --> 00:18:09,660 +الأفقي جديش تفاضله bravo عليكم تمه اذا جديش تفاضله + +239 +00:18:09,660 --> 00:18:16,520 +هذا الخط جديش تفاضله هذا الخط و هذا طب هذا تفاضله + +240 +00:18:16,520 --> 00:18:20,320 +له قيمة و هذا تفاضله له قيمة بس معكوسة لإن هذا + +241 +00:18:20,320 --> 00:18:26,490 +تفاضله مدبره تفاضله إيش سالب خلصتإذا هنا بقول ليه؟ + +242 +00:18:26,490 --> 00:18:30,650 +it is clear that phi is zero as long as the loop + +243 +00:18:30,650 --> 00:18:34,510 +is totally outside the field صح إذا zero هنا و + +244 +00:18:34,510 --> 00:18:38,850 +zero هنا، zero هان و zero هان، هذي منطق لأن b + +245 +00:18:38,850 --> 00:18:46,270 +equal to zero تمامit increases بتزيد as it is + +246 +00:18:46,270 --> 00:18:50,770 +entering and decreasing as it is leaving the field + +247 +00:18:50,770 --> 00:18:56,010 +بتزيد و هي داخلة و بتنجس و هي خارجها صحيحة او لا؟ + +248 +00:18:56,010 --> 00:19:00,570 +هاي اللي توي حاكيناها it is constant و بتساوي B في + +249 +00:19:00,570 --> 00:19:04,170 +L تربيع لإنه مساحة اللوب كلها يعني هذه القيمة + +250 +00:19:04,170 --> 00:19:08,970 +جديهش ب L تربيعwhen it is totally inside the field + +251 +00:19:08,970 --> 00:19:13,610 +لما تكون كلها جوا بتكون ال flux ثابت و بتساوي بيه + +252 +00:19:13,610 --> 00:19:17,810 +بالمساحة كلها اللي هي التربية حلو الآن بيقولوا + +253 +00:19:17,810 --> 00:19:26,930 +بيبقوا يرسموا ال F حلو نقول هذه Zero طول ما هذه + +254 +00:19:26,930 --> 00:19:34,670 +ثابتة صحيح ولا لأ؟ وهذه ثابتة هنا و هنا و هنا إذا + +255 +00:19:34,670 --> 00:19:44,360 +هي ال Fسفر هنا و سفر هنا و سفر هنا مظبوط ولا لأ؟ + +256 +00:19:44,360 --> 00:19:49,740 +سفر لأنها سفر سفر لأنها ثابتة نزلت سفر لأنها سفر + +257 +00:19:49,740 --> 00:19:55,680 +هجيت هان في قيمة و هان في قيمة عكس بعد كيف بتدعي + +258 +00:19:55,680 --> 00:20:05,820 +رسمهم؟ هي هادي و هي هادي هي الانف واحد + +259 +00:20:05,820 --> 00:20:06,480 +عكس التاني + +260 +00:20:10,110 --> 00:20:20,430 +تمام؟ هذه هنا وهذه هنا هذه هي النبضة الكهربائية ال + +261 +00:20:20,430 --> 00:20:25,550 +pulse بنسميها ال pulse الكهربائية تمام؟ واحد + +262 +00:20:25,550 --> 00:20:31,480 +بيقولي طب ليش طلعت عجلة هيك؟عشانه خط مستقيم ميلو + +263 +00:20:31,480 --> 00:20:35,320 +هان و لا ميل هان و لا ميل هان واحد و لا لأ فانت + +264 +00:20:35,320 --> 00:20:38,660 +اول ما بتزيادة بتطلع عندك بتضوي بتضوي و بتطلع + +265 +00:20:38,660 --> 00:20:41,600 +ضاوية ضاوية ضاوية لما ال flux يثبت ترجع تطفي + +266 +00:20:41,600 --> 00:20:46,480 +ذاكرين ال binary system ال binary system اللي هو + +267 +00:20:46,480 --> 00:20:53,140 +النظام الثنائي ال 01الـ 0 هو طفة والـ 1 مضوي فهذه + +268 +00:20:53,140 --> 00:20:56,720 +طفت وهذه ضوط فالضوء بيجيك ضوء على طول مدي كاشف + +269 +00:20:56,720 --> 00:21:01,420 +التجريد لأنه عندي ثبات في السرعة فهنا ضوط هنا طفت + +270 +00:21:01,420 --> 00:21:04,940 +هنا ضوط بالتجارة المعاكس في النهاية لإن هم عند ضوء + +271 +00:21:04,940 --> 00:21:10,520 +تمام فهذه هي البرس تمام خلصت من ال .. هذي بيقولي + +272 +00:21:10,520 --> 00:21:14,640 +بيدي القوة قوة علشان بيقولي ماشي هذي ماشية طيب + +273 +00:21:14,640 --> 00:21:18,790 +ماشيةفي مجال مغناطيسي بقول في مجال مغناطيسي في بعض + +274 +00:21:18,790 --> 00:21:22,570 +المناطق صح ولا لأ هجيت بقول لي في قانون زمان + +275 +00:21:22,570 --> 00:21:29,230 +أخدناها قال F بتساوي I L X B ذاكرينه هذي ال + +276 +00:21:29,230 --> 00:21:32,820 +magnetic force على أي سلكي بيحمل تيارةفي مجال + +277 +00:21:32,820 --> 00:21:35,100 +ممثليسي بقول في بعض المناطق في مجال ممثليسي في + +278 +00:21:35,100 --> 00:21:39,360 +طيار بقوله مرات في طيار و مرات مافيش الطيار يستحاف + +279 +00:21:39,360 --> 00:21:43,040 +هنا في طيار في ضوء و هنا في طيار لكن هنا في طيار + +280 +00:21:43,040 --> 00:21:49,180 +لأ و هنا في طيار اذا هنا في قوة و هنا في قوة هنا + +281 +00:21:49,180 --> 00:21:52,500 +مافيش قوة و هنا مافيش قوة و هنا مافيش قوة هنا + +282 +00:21:52,500 --> 00:21:56,180 +مافيش قوة لأنه مافيش لا بي ولا اي هنا مافيش قوة + +283 +00:21:56,180 --> 00:21:59,930 +بالرغم من وجود بيه لكن مافيش طياروهنا مافيش قوة + +284 +00:21:59,930 --> 00:22:05,570 +لأنه لا في بي ولا في تيار طب نيجي نحسبها القوة وهل + +285 +00:22:05,570 --> 00:22:08,930 +هتكون مع بعض و لا عكس بعض تشوف الطيارات عكس بعض و + +286 +00:22:08,930 --> 00:22:12,950 +لا لأ نشوف القوة بقول هيهم التلات حالات اللي عندك + +287 +00:22:15,640 --> 00:22:20,800 +ماكنش تعرفيها سفر بتفجين ولا لأ و برا هنا سفر و هي + +288 +00:22:20,800 --> 00:22:25,960 +داخلة في زيادة و هي هنا في ثابت و هنا في نقصان + +289 +00:22:25,960 --> 00:22:29,220 +نشتغل مع الناس كمان مرة شباب اللي مش فاهم الناس دي + +290 +00:22:29,220 --> 00:22:33,020 +يوضح معايا هجيتوا هى داخلة الفكس بزيد ولا بينقص + +291 +00:22:33,020 --> 00:22:40,960 +بزيد مع ولا عكس عكس عكس العصلي كيف تجاهه العصلي + +292 +00:22:40,960 --> 00:22:44,840 +out إذا عكس إيش معناته حط إبهامك انتوا شوف الطيارة + +293 +00:22:44,840 --> 00:22:45,280 +كيف بيكون + +294 +00:22:49,220 --> 00:22:53,200 +مع أقارب الساعة، إذا هي التيار موجود، هجتها و هي + +295 +00:22:53,200 --> 00:22:56,780 +داخلة، في تيار و لا تيار؟ في تيارة، أنا بدي أجيب + +296 +00:22:56,780 --> 00:22:59,880 +القوة على مربع، شباب، هل بتقدر تقول هذه closed + +297 +00:22:59,880 --> 00:23:04,840 +loop، هل القوة سفر؟ لأن مجلة كفيرد مش ثابت، برضه + +298 +00:23:04,840 --> 00:23:08,000 +سفر و مرأيله قيمة، مظبوط ولا لأ؟ إذا مش ثابت، طيب + +299 +00:23:08,000 --> 00:23:12,460 +أكمض لعلها؟ بدي أجيب القوة على أربع أضلاع، عليه + +300 +00:23:12,460 --> 00:23:18,330 +قوة؟ ليش؟مافيش بيه مع ان في طيار تذكروا طيار بيمشي + +301 +00:23:18,330 --> 00:23:23,170 +هيك في طيار لكن مافيش بيه طيب تقدروا تقولوا بالحدث + +302 +00:23:23,170 --> 00:23:26,430 +ان هذا طلع برغم طلع حدا ولا لا ذاكرين المثال + +303 +00:23:26,430 --> 00:23:31,990 +الحالي زيه اذا انا بدي طلع حدا هذا طلع طياره كيف + +304 +00:23:31,990 --> 00:23:39,370 +اتجاهه لأسفل لو بدي تعوض هنا بدي احط I و هنا سالب + +305 +00:23:39,370 --> 00:23:49,200 +L J cross ال KJ cross Ki ثم صلب I كيف القوة تجاهها + +306 +00:23:49,200 --> 00:23:56,680 +عكس عكس حركته ولا مش عكس حركته عكس حركته تمام اذا + +307 +00:23:56,680 --> 00:24:03,440 +بيقولي نجي لل F the force is zero as long as + +308 +00:24:03,440 --> 00:24:06,420 +epsilon بتساوي سفر يعني مافيش طيارة بيقولوا طول ما + +309 +00:24:06,420 --> 00:24:10,620 +الطيار مش موجود فيش F يعني بيقولي هنا سفر و هنا + +310 +00:24:10,620 --> 00:24:17,560 +سفر و هنا سفر اتفهمناطبعا اذا هذه سفر وهذه سفر + +311 +00:24:17,560 --> 00:24:24,580 +وهذه سفر قال الان اشتغل عليه وفوق الفجانية اقول + +312 +00:24:24,580 --> 00:24:28,020 +هنا هنا اه as the loop is entering و هي داخلة على + +313 +00:24:28,020 --> 00:24:32,140 +اي ضلع تشتغل على ضلع اليمين the force is on its + +314 +00:24:32,140 --> 00:24:38,660 +right side طولة القوة ناقص I تبنيه و هو خارج ال + +315 +00:24:38,660 --> 00:24:42,370 +flux بزيد ولا بانجساذا الطيارة المستحيلة لينز + +316 +00:24:42,370 --> 00:24:48,790 +بيقول ماع ولا ضد، ماع، حط ابهامك برا، مش هذا هو، + +317 +00:24:48,790 --> 00:24:52,690 +طب انا اضلع، بدي اضلع حدا؟ ولا بدي اضلع حدا لان؟ + +318 +00:24:52,690 --> 00:24:56,510 +بدي اضلع حدا، لان اضلع حدا في بي؟ طب هات اضلع كيف + +319 +00:24:56,510 --> 00:25:01,950 +بيطيّع عليه، لا فوق ولا تحت؟ زي هذا، اذا نفسي + +320 +00:25:01,950 --> 00:25:05,700 +اتجاه القوة او مش نفسي اتجاه القوة؟نفس اتجاه القوة + +321 +00:25:05,700 --> 00:25:10,280 +شوف معانا الطيارين اختلفوا لكن عشان الضلعين في + +322 +00:25:10,280 --> 00:25:14,460 +الاخر اختلفوا فطلع في الحالتين التيار في الضلع + +323 +00:25:14,460 --> 00:25:17,980 +اللي بدي ايا down ولا مش down اذا القوة مات في + +324 +00:25:17,980 --> 00:25:22,400 +الحالتين مع بعض ولا ضد بعض؟ مع بعض فبتكون القوة + +325 +00:25:22,400 --> 00:25:27,450 +هادي هيك التانية كي بده تكونطبعا واحدة من واحدة + +326 +00:25:27,450 --> 00:25:29,990 +يقول ايه؟ ممكن هدى يخليها تحت و هدى فوق و بقوله اه + +327 +00:25:29,990 --> 00:25:33,590 +ممكن هدى و التنتين يخليهم تحت و بقوله اه مش مشكلة + +328 +00:25:33,590 --> 00:25:36,350 +المهم ان التنتين هدى يكونوا مع بعض و هدى يكونوا + +329 +00:25:36,350 --> 00:25:39,350 +عكس بعض طبعا تطلعوا انتوا و شوفوا مبدأ + +330 +00:25:39,350 --> 00:25:44,670 +conservation of energy شباب هدى ماشية القوة بتكون + +331 +00:25:44,670 --> 00:25:52,220 +معاكسةصفة مقاومة التغيير موجودة في كل إشي مقاومة + +332 +00:25:52,220 --> 00:25:56,200 +التغيير من تعريف ال inertia إذا كنتوا ذاكرينها ال + +333 +00:25:56,200 --> 00:25:59,780 +inertia هي خاصية المادة لمقاومة التغيير ولا لأ + +334 +00:25:59,780 --> 00:26:06,780 +فدائما الأحوال والخلائق تميل إلى معارضة التغيير + +335 +00:26:06,780 --> 00:26:09,680 +انت شوف لك أي فكرة جديدة ميت ألف واحد بيطلع ينطلك + +336 +00:26:09,680 --> 00:26:13,880 +معرضها ولا لأ هجيت انت لعبه جالك اشمال بتقوله جنوب + +337 +00:26:14,380 --> 00:26:17,400 +مجبور على المخالفة طبيعي حكمه دايما صح هذا فدايما + +338 +00:26:17,400 --> 00:26:22,340 +إن الإنسان بيحاول يقاوم التغيير التغيير و هذه ده + +339 +00:26:22,340 --> 00:26:26,240 +هي ماشية من لازم في حد يعاكس فهو هذا هو مبدأ ال + +340 +00:26:26,240 --> 00:26:29,940 +conservation of energy عشان كده خطط قاعدة لينز قال + +341 +00:26:29,940 --> 00:26:34,160 +لو هذه السلب مش موجودة معناته هذه بيجيجيها كمو قوة + +342 +00:26:34,160 --> 00:26:39,020 +طاقة وين بتروحي من وين بتيجي لكن طاقة بتعاكس طاقة + +343 +00:26:39,220 --> 00:26:43,020 +عشان يبقى الطاقة محفوظة فهذا مبدأ حفظ الطاقة هذه + +344 +00:26:43,020 --> 00:26:48,060 +هي المثال اللى كان مهم جدا انه بيجيبها شاملة بيجيب + +345 +00:26:48,060 --> 00:26:53,100 +قاعدة lens عشان يجيب للتيارات بيجيب القوة وبيجيب + +346 +00:26:53,100 --> 00:26:56,940 +قانون فرداء كيف تجيب الإنف وكيف هى تجيبها الأمور + +347 +00:26:56,940 --> 00:27:03,390 +فهذا هي الرسمة اللى موجودة كمثالinduced electric + +348 +00:27:03,390 --> 00:27:09,230 +field اخر موضوع في هذا ال chapter هو ال induced + +349 +00:27:09,230 --> 00:27:14,310 +electric field قال في عندك اتغير ل flux طلع عندك + +350 +00:27:14,310 --> 00:27:18,750 +induced emf induced emf سكر صار في عندك induced + +351 +00:27:18,750 --> 00:27:23,500 +current اذا induced emf بجيب induced currentطب + +352 +00:27:23,500 --> 00:27:25,700 +قللي هو التيار الشوة مش في نهاية الشحنات ولا في + +353 +00:27:25,700 --> 00:27:29,180 +الشحنات مازال في تيار في المنطقة في مجال كهربائي + +354 +00:27:29,180 --> 00:27:32,520 +ولا لأ مازال في مجال كهربائي حاجات اندوست انف + +355 +00:27:32,520 --> 00:27:35,400 +سموها induced current هذا بيسموها induced electric + +356 +00:27:35,400 --> 00:27:39,420 +field طبعا اذا اندوست electric field مين جابه تغير + +357 +00:27:39,420 --> 00:27:44,260 +في ال flux لما تغير في ال flux جاب انف جاب تيار + +358 +00:27:44,260 --> 00:27:49,330 +وبالتالي شحنات وبالتالي في مجال كهربائي بيقولليبعد + +359 +00:27:49,330 --> 00:27:53,550 +المعلومة تابعة Faraday بقول a changing magnetic + +360 +00:27:53,550 --> 00:27:58,770 +flux creates an induced impf صح هذا Faraday and + +361 +00:27:58,770 --> 00:28:03,890 +thus وبالتالي ال impf بيجيب طيار and thus an + +362 +00:28:03,890 --> 00:28:07,150 +induced current in a conducting loop طبعا الطيار + +363 +00:28:07,150 --> 00:28:09,770 +لازم يكون في دائرة مغلقة عشان يطلع عندي طيار صحيح + +364 +00:28:09,770 --> 00:28:14,250 +ولا لأ؟ حلوبيقول لي before بما أنه التيار هو شحنات + +365 +00:28:14,250 --> 00:28:17,950 +and electric field must be present along the loop + +366 +00:28:17,950 --> 00:28:20,390 +إذا ما زال فيه تيار إذا ما زال فيه مجال كهربائي + +367 +00:28:20,390 --> 00:28:23,570 +بدي أحسبه هذا المجال الكهربائي بدي أسميه induced + +368 +00:28:23,570 --> 00:28:29,550 +electric field this field وهو المجال created by + +369 +00:28:29,550 --> 00:28:34,070 +changing magnetic flux is called induced electric + +370 +00:28:34,070 --> 00:28:38,310 +field and given by .. لنحسبها أنا معكم أنا بعرف ال + +371 +00:28:39,970 --> 00:28:45,510 +الانف شباب هو فرق جهود ولا لأ؟ مش هو فرق جهود؟ + +372 +00:28:45,510 --> 00:28:51,410 +الانف هو فرق جهود طب فرق الجهود مش بالساوي سالب + +373 +00:28:51,410 --> 00:28:57,850 +التكامل من initial ل final ايه ضد ال DS صحيح ولا + +374 +00:28:57,850 --> 00:29:03,110 +لأ؟ حاجات هذه موجودة إذا هذه بقدر أجيبها طبعا هذه + +375 +00:29:03,110 --> 00:29:07,130 +initial وهذه final أنا عشان أطلع معايا طيار بنفع + +376 +00:29:07,130 --> 00:29:10,440 +ال initial و ال final يكونوا بعيد عن بعضلازم + +377 +00:29:10,440 --> 00:29:12,440 +تكونوا ملزقين بعض ولا لأ؟ مش لازم تكون ال loop + +378 +00:29:12,440 --> 00:29:15,200 +closed عشان نطلع معاه طيار؟ عمكم شوفتوا طيار + +379 +00:29:15,200 --> 00:29:18,280 +كهربائي في دائرة مفتوحة؟ لازم الدائرة مش تكون + +380 +00:29:18,280 --> 00:29:23,080 +مغلقة هادي عشان تكون هادي، بدي أجيب هدول هيك و أحط + +381 +00:29:23,080 --> 00:29:29,140 +هادي تمام شباب، نرجع هنا، أنا قولت هنا I F مظبط + +382 +00:29:29,140 --> 00:29:34,240 +ولا لأ؟ لو حطيت هدي F و هدي I، بدي أجيب هدي؟بظبط + +383 +00:29:34,240 --> 00:29:38,180 +ولا لأ طيب لما تتسكر بيفرج معايا ايه حاط هنا و ايه + +384 +00:29:38,180 --> 00:29:41,000 +حاط هنا اذا لما انا مغلق انا بيبطل اله معنى هذه + +385 +00:29:41,000 --> 00:29:44,520 +صحيح ولا لأ لأ انا بيبطل معنى انت مين بادي و مين + +386 +00:29:44,520 --> 00:29:48,500 +مش بادي مانهاش معنى فبقول ليه بيقول ليه ال inf + +387 +00:29:48,500 --> 00:29:51,180 +اللي هو فرق الشجوه ال delta V بساوي تكامل E dot ال + +388 +00:29:51,180 --> 00:29:54,440 +DS السلب راح لأن في عندي اغلاق شباب مالوش معنى + +389 +00:29:54,440 --> 00:29:58,280 +السلب لما يكون اغلاق قال لي بس هذه بتقدر يجيبها من + +390 +00:29:58,280 --> 00:30:03,870 +القانون الفرضي ولا لأ هيها اذا بيصير هذهبتساوي هذه + +391 +00:30:03,870 --> 00:30:07,970 +و خلاص using fertilizer هي قانون اذا من هذا + +392 +00:30:07,970 --> 00:30:12,310 +القانون بقدر اجيب المجال الكهربائي فجيش بيقوللي + +393 +00:30:12,310 --> 00:30:15,810 +لازم يكون في دائرة مغلقة و لا بتطلعش معاك تيار و + +394 +00:30:15,810 --> 00:30:18,990 +اذا مافيش تيار مافيش مجال اذا مالك دائرة مغلقة ايه + +395 +00:30:18,990 --> 00:30:24,490 +تمام اتروا احكيلي هناIt should be noted that this + +396 +00:30:24,490 --> 00:30:28,790 +result is also valid for any hypothetically closed + +397 +00:30:28,790 --> 00:30:33,010 +path بيقوللي انت اللوب المغلقة بتعملها عشان تطلع + +398 +00:30:33,010 --> 00:30:36,130 +معاك طيار الطيار بدك لوب حقيقية بس المجاري + +399 +00:30:36,130 --> 00:30:39,710 +الكهربائي بتكاش لوب حقيقية حتى لو عملت لوب وهمية + +400 +00:30:39,710 --> 00:30:42,450 +بمعنى هجد عندك نقطة هذه في جاذبية أرضية ولا في + +401 +00:30:42,450 --> 00:30:47,530 +جاذبية أرضية؟في جاذبية أرضية في جسم هنا؟فيش لكن + +402 +00:30:47,530 --> 00:30:51,760 +انت لما تقول في جاذبية بمعنى لو حطيت كتلة تنزللو + +403 +00:30:51,760 --> 00:30:54,280 +حطيت كنتلة بتنزل عشان كده بتقول عند هذه النقطة في + +404 +00:30:54,280 --> 00:30:58,120 +جاذبية أرضية حاجات عند النقطة هذه في مجال كهربائي + +405 +00:30:58,120 --> 00:31:02,380 +بتقول الله أعلم ممكن يكون و ممكن مايكونش حتى لكن + +406 +00:31:02,380 --> 00:31:04,820 +لو حطيت شحنة و اتحركت بتقول في مجال كهربائي صح ولا + +407 +00:31:04,820 --> 00:31:09,160 +لأ اذا وجود المجال مش بالضرورة يكون في هذه النقطة + +408 +00:31:09,160 --> 00:31:15,090 +في شحنةصح هي نفس العملية وجود المجال هذا لا يعني + +409 +00:31:15,090 --> 00:31:18,650 +عند النقطة هذه في تيار بس في تيار في المنطقة في + +410 +00:31:18,650 --> 00:31:24,030 +مجال في المنطقة فأي لوب حتى لو كانت وهمية بتقدر + +411 +00:31:24,030 --> 00:31:28,030 +تجيبها عشان تحسب شدة المجال الكهربائي اي لوب وهمية + +412 +00:31:28,030 --> 00:31:32,990 +استخدمها فهذه ايش هي لوب وهمية صارت لوب وهمية هي + +413 +00:31:32,990 --> 00:31:36,310 +طبعا ال flux حقيقية ماناش دعوة فيها + +414 +00:31:38,810 --> 00:31:41,890 +الشغل التاني اللي جابي نعملها بقول واحدة واحدة + +415 +00:31:41,890 --> 00:31:46,690 +علينا المجال الكهربائي هذا سموه induce electric + +416 +00:31:46,690 --> 00:31:49,290 +field ده مش مفرج عن المجال الكهربائي اللي خدناه في + +417 +00:31:49,290 --> 00:31:54,530 +أول chapter اللي جيبنا جولنا ايه بسوى KQ على R + +418 +00:31:54,530 --> 00:32:03,040 +تربيةبهو هذه برضه شحنات ماهي تيار في الآخر تمام بس + +419 +00:32:03,040 --> 00:32:08,160 +إيش المشكلة جالي هادى سمتليها وقالتلي هادي قوة + +420 +00:32:08,160 --> 00:32:14,380 +محافظة مجال محافظ وبالتالي إيه فرق جهود الآن لو + +421 +00:32:14,380 --> 00:32:18,180 +هادي مجال محافظ إيش مستي المجال المحافظ بيقول لي + +422 +00:32:18,180 --> 00:32:21,950 +لا يعتمد على المسارلا يعتمد على المسار واذا لا + +423 +00:32:21,950 --> 00:32:25,150 +يعتمد على المسار معناته لو بدأت من نقطة ورجعت لنفس + +424 +00:32:25,150 --> 00:32:29,650 +النقطة المفروض يكون الشغل بيساوي zero يعني فرقة + +425 +00:32:29,650 --> 00:32:32,650 +جهد بيبقى بيساوي zero معناته هادي بيبقى بيساوي + +426 +00:32:32,650 --> 00:32:35,670 +zero لما أبدأ انا هاجيت لو هادي لا يعتمد على + +427 +00:32:35,670 --> 00:32:38,970 +المسار لو حطيت ما زال لا يعتمد على المسار بيبقى + +428 +00:32:38,970 --> 00:32:42,690 +جول من ايه من واحد لواحد او من ايه لايه لو عملت من + +429 +00:32:42,690 --> 00:32:45,630 +ايه لايه جديش القيمة اللي بتطلع zero لكن هي ما + +430 +00:32:45,630 --> 00:32:49,640 +طلعتش zeroلما أقول مغلق من إيه لإيه أنا بصحي اللي + +431 +00:32:49,640 --> 00:32:52,640 +ياخد من إيه لإيه لإنه أي مسار اللي قد تاخده بيطلع + +432 +00:32:52,640 --> 00:32:57,020 +zero بيقولي آه هذا المجال مش محافظ لإن لو محافظ + +433 +00:32:57,020 --> 00:33:00,980 +بيصير هذا القلم غلط إذا معناته اللي بيحل الإشكالية + +434 +00:33:00,980 --> 00:33:04,500 +إن هذا المجال مايكونش محافظ إذا هذا بيفرج عن + +435 +00:33:04,500 --> 00:33:08,360 +المجال هداك إنه هذا مجال غير محافظ بيقولي the + +436 +00:33:08,360 --> 00:33:10,740 +induced electric field اللي هو المجال اللي انت + +437 +00:33:10,740 --> 00:33:15,290 +قاعد تحكي عنه is quite differentكليا مختلف from + +438 +00:33:15,290 --> 00:33:18,710 +the electrostatic field produced by static charges + +439 +00:33:18,710 --> 00:33:22,150 +كيف the induced electric field is a non + +440 +00:33:22,150 --> 00:33:26,250 +-conservative field هو non-conservative field + +441 +00:33:26,250 --> 00:33:30,510 +produced by a changing magnetic flux ومنتج من flux + +442 +00:33:30,510 --> 00:33:35,460 +متغير إذا اللي بدنا نعرفهإن المجال اللي ناتج من + +443 +00:33:35,460 --> 00:33:39,900 +تغيّل ال flux هو مجال غير محافظ بعكس المجال اللي + +444 +00:33:39,900 --> 00:33:46,620 +جاي من شحنات استاتيكية ثابتة هو مجال محافظبقول لي + +445 +00:33:46,620 --> 00:33:49,020 +وإلا hence no electric potential can be associated + +446 +00:33:49,020 --> 00:33:52,760 +by the induced electric field ال induce electric + +447 +00:33:52,760 --> 00:33:56,660 +field لو انه كان محافظ بيبطل فيه فرق جهود لكن انا + +448 +00:33:56,660 --> 00:33:58,940 +بتقول ان انت فيه فرق جهود hence no electric + +449 +00:33:58,940 --> 00:34:00,820 +potential can be associated by the induced + +450 +00:34:00,820 --> 00:34:03,220 +electric field the potential difference between + +451 +00:34:03,220 --> 00:34:07,820 +two points I and F هي القانون I and F لو هدي بيسوي + +452 +00:34:07,820 --> 00:34:12,400 +هدي بتطلع Zerowhich would be zero for a closed + +453 +00:34:12,400 --> 00:34:15,340 +path اللي تاوي شراحته contrary to the induced + +454 +00:34:15,340 --> 00:34:19,200 +electric field contrary .. so ايش دول عندي؟ + +455 +00:34:19,200 --> 00:34:22,140 +بيقولوا كيف اتجاهوا المجال الكهربائي؟ كيف بيدعرف + +456 +00:34:22,140 --> 00:34:26,940 +اتجاهه؟ هاجيت اتجاه المجال الكهربائي لو عندي مجال + +457 +00:34:26,940 --> 00:34:32,960 +كهربائي متجه الشمال و شحن موجبة وين بتروح؟ شمال + +458 +00:34:32,960 --> 00:34:37,120 +براو طيب لو قلتلكم شحن موجبة تتحرك شمال كيف اتجاه + +459 +00:34:37,120 --> 00:34:41,750 +المجال؟ شمالإذا اتجاه المجال هو اتجاه الشحنات + +460 +00:34:41,750 --> 00:34:45,210 +الموجبة حركتها ولا لأ؟ حلو، لو شحنة موجبة بتروح + +461 +00:34:45,210 --> 00:34:50,310 +شمال، الطيار كيف اتجاهه؟ برضه شمال، إذا اتجاه + +462 +00:34:50,310 --> 00:34:54,270 +المجال الكهربائي و اتجاه الطيار مع بعض ولا لأ؟ اه + +463 +00:34:54,270 --> 00:34:58,980 +طيب اتجاه الطيار كيف حددته؟ مش by lens؟اذا برضه + +464 +00:34:58,980 --> 00:35:02,280 +تجاه المجال اعمله مع الـ Lens نفس اللي بتعمله مع + +465 +00:35:02,280 --> 00:35:05,460 +التيار المستحقات اعمله مع المجال المستحقات + +466 +00:35:05,460 --> 00:35:09,540 +فبيقوللي the direction of the induced electric + +467 +00:35:09,540 --> 00:35:14,540 +field is determined by Lens's rule بس قدت Lens + +468 +00:35:14,540 --> 00:35:20,000 +بيفهم المثال اللي احنا مانا نشتغل عليه بيقوللي a + +469 +00:35:20,000 --> 00:35:24,940 +long solenoid ذاكرين ال solenoid ال solenoid + +470 +00:35:24,940 --> 00:35:30,940 +الحلزوني جددش المجال براو جوه uniform و بيسوي ميو + +471 +00:35:30,940 --> 00:35:34,860 +نوت ان في ال I عدا من اكتبه بيقول هذا سيلونود لونج + +472 +00:35:34,860 --> 00:35:39,480 +بدي احط شباب و ارسم مقطع منه اعملوا غيرك و ارسموه + +473 +00:35:39,480 --> 00:35:43,680 +مش بدي باين قدامي دائرة و باقى الدوائر جوه اللوح + +474 +00:35:44,640 --> 00:35:48,680 +تمام of radius capital R ما هو الصوعة نص قطرها + +475 +00:35:48,680 --> 00:35:53,800 +capital R has N turns per unit of wire per unit + +476 +00:35:53,800 --> 00:35:58,440 +length اعتبريها N and carries a current given by + +477 +00:35:58,440 --> 00:36:07,340 +التيار شباب المعطى by I بتساوي I maximum cosine + +478 +00:36:07,340 --> 00:36:12,120 +omega T هي التيارة اتانية التيار ثابت مع الزمان + +479 +00:36:12,120 --> 00:36:16,720 +ولا بتغير مع الزمانبتغير مع الزمن طيب بالتالي مجال + +480 +00:36:16,720 --> 00:36:20,300 +السيلونويد ثابت مع الزمن او بتغير مع الزمن؟ بتغير + +481 +00:36:20,300 --> 00:36:25,200 +مع الزمن تمام بقول هي السيلونويد هي لفة و باقي + +482 +00:36:25,200 --> 00:36:31,680 +اللفات جوا الحيطة تمام و الطيار هيدل قيمته مش + +483 +00:36:31,680 --> 00:36:33,160 +مشكلة قللي + +484 +00:36:37,050 --> 00:36:47,370 +Calculate the induced + +485 +00:36:47,370 --> 00:36:50,370 +electric field inside and outside the solenoid + +486 +00:36:54,020 --> 00:36:56,560 +من وين جاي؟ من المجال المغناطيسي المجال المغناطيسي + +487 +00:36:56,560 --> 00:36:59,160 +بتغير مع الزمان ولا بتغيرش مع الزمان؟ بتغير مع + +488 +00:36:59,160 --> 00:37:02,260 +الزمان لأن الطيارة بتغير مع الزمان إذا الفكس متغير + +489 +00:37:02,260 --> 00:37:04,820 +قال لي إذا في عندك مجال كهربائي هذا المجال + +490 +00:37:04,820 --> 00:37:08,880 +الكهربائي موجود في المنطقة قال لي أوجد ليه هنا و + +491 +00:37:08,880 --> 00:37:12,880 +هنا عند نقطة جوا عند نقطة برا كله بسيطة قال لي + +492 +00:37:12,880 --> 00:37:17,400 +أعمل لوب حتى لو وهميه أنا بديه جوا إذا أعمل لوب + +493 +00:37:17,400 --> 00:37:22,890 +وهميه solutionبقول لت فيرس درو ان اميجينيا بيكلز + +494 +00:37:22,890 --> 00:37:26,730 +لوب of radius small r لإنه بيديها دوه إذا اللوب + +495 +00:37:26,730 --> 00:37:29,470 +تبعت هيك بدي أجيبها وكأنه لو بقوللي اودي اتشدت + +496 +00:37:29,470 --> 00:37:35,170 +المجال مع المخلصة عند النقطة هذه عملت loop الآن ما + +497 +00:37:35,170 --> 00:37:38,590 +زال عملت ال loop انتهت بقدر أجيب ال flux على ال + +498 +00:37:38,590 --> 00:37:43,230 +loop هادي ولا لأ بقدر أجيب ال flux ال flux كيف هذه + +499 +00:37:43,230 --> 00:37:47,880 +ال loop عملتلي مساحةولا لأ بديل المساحة هذه جدش + +500 +00:37:47,880 --> 00:37:52,600 +فيها flux ايش ال flux بساوي بي في ايه هل المساحة + +501 +00:37:52,600 --> 00:37:55,760 +فيها بي و لا فيش فيها بي فيها بي و ال a بتاعكم + +502 +00:37:55,760 --> 00:38:00,220 +جيبوها ماهي دائرة مساحة دائرة خلاص اذا بجيب ال + +503 +00:38:00,220 --> 00:38:03,340 +flux بقول + +504 +00:38:04,250 --> 00:38:08,530 +The magnetic flux through the area enclosed by + +505 +00:38:08,530 --> 00:38:14,230 +this loop is بقول Phi M بتسوي بيه ضد ال a بيه في a + +506 +00:38:14,230 --> 00:38:19,790 +في cos θ cos θ صفر او 180 درجة اذا لا واحد لا ناقص + +507 +00:38:19,790 --> 00:38:25,830 +واحد بتعتبرها واحد بيه هي ميو نوت in في ال I وA + +508 +00:38:25,830 --> 00:38:31,990 +مساحة الدائرةهذا هو I wallet ميو نوت in في ال I + +509 +00:38:31,990 --> 00:38:35,570 +وهي مساحة الدائرة بدل I جيبت قيمة I I maximum + +510 +00:38:35,570 --> 00:38:41,550 +cosine omega T هاي ال flux تمام شباب طبعا بدي اتبع + +511 +00:38:41,550 --> 00:38:45,050 +شغلة معينة عشان بس ماتطلش معانا الأمور انا هذا ال + +512 +00:38:45,050 --> 00:38:55,330 +flux أصله قانونه ال flux انا عندي هاي + +513 +00:38:55,330 --> 00:39:01,080 +ال fluxعشان يطلع بي ضد ال a التي بتكون بي constant + +514 +00:39:01,080 --> 00:39:06,120 +uniform طيب هذه انا طلعتها برا مع انك انت + +515 +00:39:06,120 --> 00:39:10,180 +بتقولليها متغيرة مرة بدي افضلها و مرة بتطلعها ثابت + +516 +00:39:10,180 --> 00:39:13,840 +ليش هنا بقدر اطلعها برا و هنا بقدرش اقول افضلها + +517 +00:39:13,840 --> 00:39:18,020 +سفر انا هيك بدي اطلعها برا بقول ان انا اطلعها برا + +518 +00:39:18,020 --> 00:39:22,480 +تصير بي ضد دي اي صادد دي اي طلعتها برا تباركتها + +519 +00:39:22,480 --> 00:39:25,940 +uniform ثابتة طلعتها برا و هنا انا بدي افضلها شباب + +520 +00:39:32,670 --> 00:39:36,850 +هنا مثلا او هنا احكي + +521 +00:39:39,070 --> 00:39:44,070 +بالظبط هذه ثابتة بالنسبة لل area هذه متغيرة + +522 +00:39:44,070 --> 00:39:47,690 +بالنسبة للزمن فلما انا اكمل على ال x و ال y تعتبر + +523 +00:39:47,690 --> 00:39:51,530 +ثابتة بطلعها برا التكامل هنا حتى لو كانت ثابتة + +524 +00:39:51,530 --> 00:39:55,430 +بالنسبة لل x و ال y لكن انا بفضل بالنسبة للزمن وهي + +525 +00:39:55,430 --> 00:39:58,250 +متغيرة بالنسبة للزمن فبالتالي ممكن افضلها يعني + +526 +00:39:58,250 --> 00:40:03,250 +بمعنى اخر هجي ال dxعلى دي T ممكن تساوي سفر وممكن + +527 +00:40:03,250 --> 00:40:06,430 +ما تساوي السفر صح او لا بتساوي سفر لو هدا ال X + +528 +00:40:06,430 --> 00:40:08,730 +ممكن تدعوه بالزمان لكن لو انها دعوه بالزمان بتفقد + +529 +00:40:08,730 --> 00:40:11,990 +تساوي السفر مظبوط ولا لأ؟ فهذه نفس القضية فبديش + +530 +00:40:11,990 --> 00:40:13,850 +واحد يقول انت مرة بيقول انها uniform ومرة بيقول + +531 +00:40:13,850 --> 00:40:17,890 +انها متغيرة هي uniform يعني constant as a function + +532 +00:40:17,890 --> 00:40:21,310 +of position لكن ممكن تكون variable as a function + +533 +00:40:21,310 --> 00:40:27,870 +of T تمام طلعت الفلكس حلو الان حط القانون بيقول + +534 +00:40:27,870 --> 00:40:33,290 +القانون اللي انا حكيته هذا هوشباب هذا ال side + +535 +00:40:33,290 --> 00:40:37,150 +دائما هذه بتطلع برا ال dot of product مش موجود و + +536 +00:40:37,150 --> 00:40:41,470 +DS محيط اللوب اللي اخي انت اخترتها اللوب الحمراء + +537 +00:40:41,470 --> 00:40:44,910 +تمام هذه دائما اللوب اللي اخترتها ال imaginary + +538 +00:40:44,910 --> 00:40:49,150 +loop محيطها زي قانون امبير ذاكرينه زي قانون امبير + +539 +00:40:49,150 --> 00:40:53,890 +اللوب محيطها و هذه ايه بتطلع برا طلع هذه برا هذه + +540 +00:40:53,890 --> 00:40:59,960 +طبعا انا فضلت بس هذه ايش تفضل كل side شبابمصبوط في + +541 +00:40:59,960 --> 00:41:03,580 +سالب مع سالب راحت الكو ساين لما فضلها سالب ساين و + +542 +00:41:03,580 --> 00:41:07,840 +تطلع أميجا برا فضلتها هجتنيجي لهذه هذي بيصير + +543 +00:41:07,840 --> 00:41:11,020 +باسيمتري بيقول إن هذي E ثابتة و ال dot product + +544 +00:41:11,020 --> 00:41:16,880 +tangent فبصير عنده بهذا الشكل E برا دي أس تكملها + +545 +00:41:16,880 --> 00:41:20,220 +محيط ال loop محيط ال loop و حتى في هذهك بيطلع + +546 +00:41:20,220 --> 00:41:26,200 +الجواب مافيش فيها مشكلة ساعتها طلعت Eزي ما انتوا + +547 +00:41:26,200 --> 00:41:29,980 +شايفين هجيب في حلقة جيبت جوا قال برا to calculate + +548 +00:41:29,980 --> 00:41:32,000 +the electric field outside قال انا اختار ال loop + +549 +00:41:32,000 --> 00:41:38,020 +برا هذا هي بده برا يعني بده هيك هي بده ايه هنا + +550 +00:41:38,020 --> 00:41:42,170 +اختارت loopحلو بقول هذه اللوب الحمرة يجيبني ال + +551 +00:41:42,170 --> 00:41:45,750 +reflex عليها الآن بدي ال reflex عليها نرجع الحيطة + +552 +00:41:45,750 --> 00:41:49,750 +و اللوح جيبني مساحة اللوح على مساحة الحيطة مساحة + +553 +00:41:49,750 --> 00:41:52,910 +اللوح هيتقب بي موجودة على كل مساحة الحمرة و لا بس + +554 +00:41:52,910 --> 00:41:56,050 +عاجزه إذا أنت بدك الآن لما تحتب ال reflex و تقول + +555 +00:41:56,050 --> 00:42:01,050 +بي في إيه بدك إيه الصمرة و لا الحمرة بس الصمرة لأن + +556 +00:42:01,050 --> 00:42:04,550 +الحمرة مش كلها فيها مجال مغناطيسي تمام هيك؟ هذا + +557 +00:42:04,550 --> 00:42:06,610 +trick كتير في السؤال البيجير كيف نعرضها نعمل احنا + +558 +00:42:06,610 --> 00:42:11,990 +بنجيب دويرة زي هيكأو من اديك نص خطرها خمسة متر ولا + +559 +00:42:11,990 --> 00:42:16,530 +حاجة مولاك المجال المناطيسي بس هنا موجودبس هنا + +560 +00:42:16,530 --> 00:42:20,230 +بقولك اوديد ال flux على اللوبة الدائرية بس مساحة + +561 +00:42:20,230 --> 00:42:25,170 +المربع بس انا بدي ال flux حتى لو بدي ال flux اللي + +562 +00:42:25,170 --> 00:42:30,170 +هنا لإن هنا مافيشش و لو هذه اتنين متر بقول أربعة + +563 +00:42:30,170 --> 00:42:34,270 +في بي لإن مساحة اتنين في اتنين تمام فهنا بيقول لي + +564 +00:42:34,270 --> 00:42:37,250 +to calculate the electric field outside the sphere + +565 +00:42:37,250 --> 00:42:40,350 +the closed path has now a radius R أكبر من كمية + +566 +00:42:40,350 --> 00:42:44,730 +العرهار ال closed path اللي هي هذهبس الـ magnetic + +567 +00:42:44,730 --> 00:42:50,810 +field محصور في منطقة معينة confined only to the + +568 +00:42:50,810 --> 00:42:54,010 +region R أقل من capital R بس المنطقة السودة هذه + +569 +00:42:54,010 --> 00:42:58,790 +the magnetic flux through the path is فاي بسوا ميو + +570 +00:42:58,790 --> 00:43:04,830 +نوت هادي N في I في إيش في باقي capital R تربيع مش + +571 +00:43:04,830 --> 00:43:09,330 +اسمه R تربيع بس السمراء خدت بس السمراء طلعتها + +572 +00:43:09,330 --> 00:43:13,410 +الفاي تمام اللي أنا بقوله يكتب القانونحاجات هذه + +573 +00:43:13,410 --> 00:43:17,950 +الـDS الحمرة ولا السامرة؟ هذه دايما الحمرة .. هذه + +574 +00:43:17,950 --> 00:43:20,650 +دايما الحمرة .. هذه دايما .. طبعا هنا الحمرة مش + +575 +00:43:20,650 --> 00:43:23,470 +عندكم في الامتحان مافيش حمرة او حمرة .. اللوب ال + +576 +00:43:23,470 --> 00:43:27,050 +imaginary .. هذه دايما محيط اللوب ال imaginary + +577 +00:43:27,050 --> 00:43:31,270 +اللي انت عملته .. هذه دايما .. لكن هذه بتعتمد حسب + +578 +00:43:31,270 --> 00:43:35,390 +ال test placeboتمام قاللي هذه بتطلع برا هذه اتنين + +579 +00:43:35,390 --> 00:43:40,530 +by small r و هذه هيها فضلها بالنسبالي الزمن تفاضل + +580 +00:43:40,530 --> 00:43:44,050 +ال cosine سالب sign و بتطلع omega في في القانون + +581 +00:43:44,050 --> 00:43:47,470 +السالب بروح السالب مع السالب فضلت طلعت بهذا الشكل + +582 +00:43:47,470 --> 00:43:52,090 +قاللي طلع هذه هيها اتنين by small r مش كابة ال R + +583 +00:43:52,090 --> 00:43:57,370 +الحمرة طلع طلع ال E بطلع ال E هي طلعت ال E هيك + +584 +00:43:57,370 --> 00:44:00,790 +بيكون انتهى الشطر تمام + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/6WiH4BFWFBA.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/6WiH4BFWFBA.srt new file mode 100644 index 0000000000000000000000000000000000000000..f161fa2d07e01f12deea1a87b5dbf4bce975d6f8 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/6WiH4BFWFBA.srt @@ -0,0 +1,1841 @@ +1 +00:00:00,000 --> 00:00:02,680 +موسيقى + +2 +00:00:10,510 --> 00:00:13,710 +طبعًا بعد بسم الله الرحمن الرحيم من ضمن هو ضال + +3 +00:00:13,710 --> 00:00:18,330 +عندنا محاضرتين محاضرة اليوم ومحاضرة يوم الثلاثاء + +4 +00:00:18,330 --> 00:00:23,230 +احنا بنكمل الآن chapter الـ alternating current + +5 +00:00:23,230 --> 00:00:28,370 +circuits بعد ما اتفقنا أن التيار المتردد بيعطينا + +6 +00:00:28,370 --> 00:00:32,770 +سلبيّة أن التيار ما له قيمة واحدة وبالتالي إذا عدد + +7 +00:00:32,770 --> 00:00:37,670 +قيم وقيم بتتغير مع الزمن بيصير عملية جمع القيم مش + +8 +00:00:37,670 --> 00:00:43,000 +فيه صعوبة عشان نتعامل معها عرفنا حاجة نسميها الـ + +9 +00:00:43,000 --> 00:00:48,400 +phasor اتفقنا أن الـ phasor عشان يصير محاكاة مع الـ + +10 +00:00:48,400 --> 00:00:52,160 +vectors هو عبارة عن vector بيدور ضد عقارب الساعة + +11 +00:00:52,160 --> 00:00:58,860 +طوله بمثل الـ maximum value للـ AC quantity وما سقطه + +12 +00:00:58,860 --> 00:01:03,240 +على الـ y axis بمثل الـ instantaneous value of the + +13 +00:01:03,240 --> 00:01:09,080 +AC quantity بالأخر بدأنا نشتغل نشوف الدوائر الطيارة + +14 +00:01:09,080 --> 00:01:14,280 +المترددة كيف نتحللها وكيف نتعامل معاها جينا للـ R + +15 +00:01:14,280 --> 00:01:19,320 +لما يكون عندي A طبعًا الـ I في كل حوار عندي الـ V + +16 +00:01:19,320 --> 00:01:24,920 +بتساوي V maximum sin Omega T هذه الـ V تبعت الـ + +17 +00:01:24,920 --> 00:01:28,760 +source هيك بناخدها لما يكون عندي R طلعت الـ I بتساوي + +18 +00:01:28,760 --> 00:01:34,540 +I maximum برضه sin Omega T وبالتالي جينا الـ I والـ + +19 +00:01:34,540 --> 00:01:40,780 +V are in phase الـ I والـ V are in phase فقلنا I + +20 +00:01:40,780 --> 00:01:48,800 +and V in phase هذه لما يكون في بص أه لما يكون في + +21 +00:01:48,800 --> 00:01:57,680 +عندي L طلعت I بتساوي I maximum sign Omega T ناقص + +22 +00:01:57,680 --> 00:02:07,330 +π/2 وبالتالي قلنا الـ I lags behind V الـ I lags V + +23 +00:02:07,330 --> 00:02:13,530 +طبعًا 90 درجة أن الـ I بتأخر عن هذه 90 درجة لما يكون + +24 +00:02:13,530 --> 00:02:19,870 +عندي فقط C جينا I بتساوي I maximum sine Omega T + +25 +00:02:19,870 --> 00:02:25,950 +plus π/2 يعني I leads V + +26 +00:02:28,110 --> 00:02:32,790 +برضه الزاوية 90 درجة هذه المعلومات اللي احنا عندنا + +27 +00:02:32,790 --> 00:02:36,510 +الآن أنا في الدائرة دي حاطينها اللي حلها وحاطينها + +28 +00:02:36,510 --> 00:02:39,710 +اللي حلها وحاطينها C اللي حلها واتعرفنا عليها + +29 +00:02:39,710 --> 00:02:43,830 +بدي أعمل شغلة تشمل الجميع بدي أحط الثلاث مع بعض + +30 +00:02:45,110 --> 00:02:50,050 +series R L C AC circuit يعني هذه الثلاث مع بعض طبعًا + +31 +00:02:50,050 --> 00:02:53,610 +هذه الثلاث بتغنينا عن كل الأمور السابقة لإيش؟ لأن + +32 +00:02:53,610 --> 00:02:58,250 +إذا اشتقت هنا بدك R لعلا اتبع L وC صح ولا لأ؟ بدك + +33 +00:02:58,250 --> 00:03:03,330 +L لعلا اتبع R وC صفر بدك الـ C لعلا اتبع R وL صفر + +34 +00:03:03,330 --> 00:03:06,750 +وبالتالي هذه المعادلة أو هذا الـ section بغيّر + +35 +00:03:06,750 --> 00:03:11,170 +التلسكشن السابقة ما بيبقى لهم فائدة لأن هذا + +36 +00:03:11,170 --> 00:03:16,330 +بيشملهم تلقائيًا طب عشان المشكلة بقول هل V بيصير V + +37 +00:03:16,330 --> 00:03:21,390 +maximum Sin Omega T التيار كيف بيكون شكله؟ هل + +38 +00:03:21,390 --> 00:03:26,710 +بيكون I maximum Sin Omega T؟ هل هيكون ناقص وإذا + +39 +00:03:26,710 --> 00:03:31,450 +كان ناقص قد ايش الزاوية؟ وهل هيكون زائد وإذا زائد + +40 +00:03:31,450 --> 00:03:36,500 +قد ايش الزاوية؟ تمام؟ وبعدين شغلة ثانية قلنا هذه + +41 +00:03:36,500 --> 00:03:41,840 +إيش وقلنا قد ايه هذه؟ قلنا I maximum بتساوي V + +42 +00:03:41,840 --> 00:03:46,860 +maximum على R مظبوط ولا لأ؟ أو هذه بتساوي V + +43 +00:03:46,860 --> 00:03:51,920 +maximum على XL مظبوط ولا لأ؟ وهذه بتساوي V + +44 +00:03:51,920 --> 00:03:57,620 +maximum على إيش؟ على XC على اعتبار هذه Ω هذه + +45 +00:03:57,620 --> 00:04:03,390 +إيش؟ إيش وحدتها هذه؟ برضه Ω وهذه Ω إذا أنا + +46 +00:04:03,390 --> 00:04:06,290 +بتعامل مع مقاومة وقلنا هذه مقاومة المقاومة اللي + +47 +00:04:06,290 --> 00:04:11,450 +احنا نعرفها فهذه مقاومة الـ impedance سميتها الـ + +48 +00:04:11,450 --> 00:04:15,830 +reactance تمام؟ وهذه سميتها الـ reactance بس هذه + +49 +00:04:15,830 --> 00:04:18,570 +سميتها الـ inductive وهذه اسمها capacitive و + +50 +00:04:18,570 --> 00:04:22,290 +اتفقنا برضه عشان نعمل matching مع الـ DC circuits + +51 +00:04:22,290 --> 00:04:25,510 +أن في الـ DC circuits هذه بتساوي صفر وهذه بتساوي + +52 +00:04:25,510 --> 00:04:29,850 +ما لا نهاية عشان كده بنقول أن for long time الملف + +53 +00:04:29,850 --> 00:04:33,110 +عبارة عن short circuit و for long time الـ capacitor + +54 +00:04:33,110 --> 00:04:39,110 +open circuit و open circuit بتاعنا المقاومة + +55 +00:04:39,110 --> 00:04:44,190 +بيستخدمها ما لا نهاية تمام الآن بقول لي هدول كده + +56 +00:04:44,190 --> 00:04:50,910 +متواصلين شباب توالي لو جيت أنا بدي أحط voltmeter + +57 +00:04:50,910 --> 00:04:55,830 +بين طرفين هدول النقطتين voltmeter + +58 +00:04:58,640 --> 00:05:01,760 +الـ Voltmeter إيش بيقيس هو؟ أي قيمة من الـ AC + +59 +00:05:01,760 --> 00:05:05,640 +Circuit مش اتفقنا الـ RMS Value صح ولا .. احنا لما + +60 +00:05:05,640 --> 00:05:09,280 +نقول الـ Voltmeter بيقرأ 220 Volt و 220 Volt هذه + +61 +00:05:09,280 --> 00:05:13,980 +إيش هي؟ RMS Value تمام؟ هنا الـ RMS Value على + +62 +00:05:13,980 --> 00:05:17,960 +الـ R أنا بعرفها والـ RMS تبعت الـ L عرفتها و + +63 +00:05:17,960 --> 00:05:21,580 +الـ RMS تبعت الـ C بعرفها هجيت بدي الـ Voltmeter + +64 +00:05:21,580 --> 00:05:29,570 +إيش بيديه يقيس نفترض شباب إنه V RMS تبعت الـ R تبعت الـ + +65 +00:05:29,570 --> 00:05:33,570 +R + +66 +00:05:33,570 --> 00:05:39,370 +تبعت الـ R تبعت الـ R تبعت الـ R تبعت الـ R تبعت الـ R تبعت + +67 +00:05:39,370 --> 00:05:42,370 +الـ R تبعت الـ R تبعت الـ R تبعت الـ R تبعت الـ R تبعت الـ R + +68 +00:05:42,370 --> 00:05:42,510 +تبعت الـ R تبعت الـ R تبعت الـ R تبعت الـ R تبعت الـ R تبعت + +69 +00:05:42,510 --> 00:05:44,090 +تبعت الـ R تبعت الـ R تبعت الـ R تبعت الـ R تبعت الـ R تبعت + +70 +00:05:44,090 --> 00:05:51,150 +الـ R تبعت الـ R تبعت الـ R تبعت الـ R + +71 +00:05:56,290 --> 00:05:59,270 +ليش؟ بيقول لي لأن هذه لما تكون اثنين هذه ممكن + +72 +00:05:59,270 --> 00:06:02,630 +ما تكونش اثنين طبعًا احنا هنا الـ maximum تبعتها خلينا + +73 +00:06:02,630 --> 00:06:05,150 +نقول اثنين وشوية مظبوط ولا لأ؟ وهذه الـ maximum + +74 +00:06:05,150 --> 00:06:08,190 +تبعتها ثلاثة وشوية أو أربعة تصفر بيقول لي أنت لما + +75 +00:06:08,190 --> 00:06:12,490 +تكون هذه بتجمع هذه لما تكون maximum خليها هذه لو + +76 +00:06:12,490 --> 00:06:15,050 +كانت الـ maximum بيقول لي هذه بتكون اثنين هذه ما تكونش + +77 +00:06:15,050 --> 00:06:20,170 +تسعة وأصلًا ثلاثة ممكن تكون 1 ممكن تكون 2 زي 3 + +78 +00:06:20,170 --> 00:06:23,410 +ممكن تكون 2 زي 1 ممكن تكون هذه صفر ممكن تكون سالب + +79 +00:06:23,410 --> 00:06:26,370 +لأن أنا عندي القيمة مرة بتكون موجبة ومرة بتكون + +80 +00:06:26,370 --> 00:06:29,010 +سالب مرة بتكون maximum ومرة بتكون minimum إذا + +81 +00:06:29,010 --> 00:06:32,070 +عملت تجمع مش جمع عادي زي لما كنا نجمع أربعة أو + +82 +00:06:32,070 --> 00:06:35,550 +ثلاثة ممكن يكون سبعة وممكن يكون خمسة وممكن يكون لا + +83 +00:06:35,550 --> 00:06:38,730 +هيك ولا هيك بحسب الزوايا اللي بتعملها إذا كانت + +84 +00:06:38,730 --> 00:06:43,250 +vector فلما أحطه في work meter بيجمع لي مش جمع عادي + +85 +00:06:43,250 --> 00:06:49,510 +وبالتالي لا أتوقع أنه يقرأ لي مجموع الـ these على كل + +86 +00:06:49,510 --> 00:06:55,790 +واحد لحاله على كل واحد لحاله وأنا هشوف كيف تابع + +87 +00:06:55,790 --> 00:06:59,890 +بيقول consider the circuit which consists of a + +88 +00:06:59,890 --> 00:07:04,530 +resistor an inductor and a capacitor زي ما + +89 +00:07:04,530 --> 00:07:09,770 +بتشوفين connected in series with an AC source let + +90 +00:07:09,770 --> 00:07:18,440 +هذه الـ source المفروض تكون أنا هذه كلها source للـ VR و + +91 +00:07:18,440 --> 00:07:24,780 +VL و VC بيكون الوزع في بعض الأحيان خلال كل أنواع + +92 +00:07:24,780 --> 00:07:29,140 +هذه الـ V مش الـ maximum عند لحظة ما طبعًا لما أقول + +93 +00:07:29,140 --> 00:07:33,020 +عند لحظة ما نعني هو حر بيقول لي بقدر أعرف أو أقول + +94 +00:07:33,020 --> 00:07:37,560 +since they are connected in series the voltage + +95 +00:07:37,560 --> 00:07:41,920 +across the combination جميع عادية هذه الجمع عادي + +96 +00:07:41,920 --> 00:07:44,960 +لكن بقدر أجمع حمضين زي ثلاثة زي خمسة لأ هذه + +97 +00:07:44,960 --> 00:07:50,080 +الجمع عاقنة بأجمع vectors هذه V هذه بتثور VR زي + +98 +00:07:50,080 --> 00:07:56,620 +VL زي VC هذه V هي الجهود عند لحظة ما ما هيش الـ RMS + +99 +00:07:56,620 --> 00:08:00,420 +ولا هي الـ maximum عند لحظة ما بالتالي هذه شباب + +100 +00:08:00,420 --> 00:08:02,440 +ممكن تكون zero ممكن تكون positive ممكن تكون + +101 +00:08:02,440 --> 00:08:06,960 +negative هذه كذلك .. لما تكون هذه maximum .. هل + +102 +00:08:06,960 --> 00:08:10,400 +بالضرورة تكون هذه maximum؟ لأ، ولا هذه بتكون زيها، + +103 +00:08:10,400 --> 00:08:12,540 +يعني ممكن تكون هذه maximum هذه تكون سالب وهذه + +104 +00:08:12,540 --> 00:08:16,500 +صفر وبالتالي الجميع بيطلع مشكلة هذه الـ maximum + +105 +00:08:16,500 --> 00:08:20,830 +هذه السالب نقصت وهذه zero ما أثرتش كيف أتعامل معها + +106 +00:08:20,830 --> 00:08:23,970 +قال لي احنا أنت اتعلمت حكاية الـ vectors أسألك + +107 +00:08:23,970 --> 00:08:28,650 +طبعًا أنت ممكن تعملها معادلة جبرية وتتعامل معاها + +108 +00:08:28,650 --> 00:08:31,910 +كرياضيات بس بتكون دي معادلة جبرية عشان فيها sine و + +109 +00:08:31,910 --> 00:08:33,830 +cosine وأنتوا عارفين الـ sine والـ cosine في + +110 +00:08:33,830 --> 00:08:36,650 +الجبر بيغلب لأنه التعامل معاه من الصعب لما يكون + +111 +00:08:36,650 --> 00:08:39,050 +في عندك variable جوه الـ sine وجوه الـ cosine بيكون + +112 +00:08:39,050 --> 00:08:43,150 +فيه شوية صعوبة هي دي أمين هيها احنا عارفينها + +113 +00:08:47,350 --> 00:08:54,390 +هذه المعادلة يجب أن تكون متساوية + +114 +00:08:54,390 --> 00:09:02,510 +لـ voltage من مصدر التيار بتساوي I R هذه المفروض R + +115 +00:09:02,510 --> 00:09:08,230 +I sine Omega T بكتر أكثر بهيك ليش؟ بقول إن هذه + +116 +00:09:08,230 --> 00:09:13,990 +جهدها مع التيار إنفع مظبوط ولا لأ؟ هذه بدي أحط زائد + +117 +00:09:13,990 --> 00:09:16,990 +فيها اثنين وهذه نقص فيها اثنين فسيصبح المعادلة شوية + +118 +00:09:16,990 --> 00:09:21,170 +معقدة جبريًا عشان أحلها فبديش أحلها بالجبر بدي + +119 +00:09:21,170 --> 00:09:24,710 +أحلها بواسطة الـ phase diagram كيف بدي أعمل الـ + +120 +00:09:24,710 --> 00:09:29,170 +phase diagram؟ to solve this equation we use the + +121 +00:09:29,170 --> 00:09:33,070 +phase diagram to give it phasors by letting the + +122 +00:09:33,070 --> 00:09:37,350 +phasor representing I to be along the horizontal + +123 +00:09:37,350 --> 00:09:40,590 +axis قال لي كيفك تشتغل قال لي دول موصلين على + +124 +00:09:40,590 --> 00:09:44,810 +التوالي صح ولا لأ؟ في التوالي إيش المشترك؟ التيار + +125 +00:09:44,810 --> 00:09:49,570 +قال لي التيار ما هم مشترك حطه عند axis معين التيار + +126 +00:09:49,570 --> 00:09:54,990 +بده يتأخر عن الجهود ولا بده يقدم ولا يكون مقدم .. + +127 +00:09:54,990 --> 00:10:00,330 +أنا مقدم؟ أنا مقدم .. أنا مقدم .. أنا مقدم .. أنا + +128 +00:10:00,330 --> 00:10:00,850 +مقدم .. أنا مقدم .. أنا مقدم .. أنا مقدم .. أنا + +129 +00:10:00,850 --> 00:10:03,230 +مقدم .. أنا مقدم .. أنا مقدم .. أنا مقدم .. أنا + +130 +00:10:03,230 --> 00:10:03,510 +مقدم .. أنا مقدم .. أنا مقدم .. أنا مقدم .. أنا + +131 +00:10:03,510 --> 00:10:05,430 +مقدم .. أنا مقدم .. أنا مقدم .. أنا مقدم .. أنا + +132 +00:10:05,430 --> 00:10:06,530 +مقدم .. أنا مقدم .. أنا مقدم .. أنا مقدم .. أنا + +133 +00:10:06,530 --> 00:10:06,710 +مقدم .. أنا مقدم .. أنا مقدم .. أنا مقدم .. أنا + +134 +00:10:06,710 --> 00:10:10,800 +مقدم .. بالتالي أنا بدي أفترض ما زال أنا بدي أحط + +135 +00:10:10,800 --> 00:10:16,300 +التيار عند حد معين بدي أفترض أن التيار يجهد بينهم + +136 +00:10:16,300 --> 00:10:20,660 +زاوية فبقول ليتنج supposing the current passing + +137 +00:10:20,660 --> 00:10:24,400 +through each element which is the same due to + +138 +00:10:24,400 --> 00:10:27,520 +their series connection to be given as .. بقول هذه + +139 +00:10:27,520 --> 00:10:32,980 +أنت هتفرضيه أنا اعتبرت التيار شباب بتأخر بزاوية + +140 +00:10:32,980 --> 00:10:37,400 +نقدرها φ بتأخر هذه افتراض طب جالي لو افتراض لو حطت + +141 +00:10:37,400 --> 00:10:40,620 +زائد بقول لها ما تفرقش معاه حط زائد حط ناقص ما تفرقش + +142 +00:10:40,620 --> 00:10:43,180 +لأن الـ Y هذه ممكن تطلع positive وممكن تطلع + +143 +00:10:43,180 --> 00:10:45,880 +negative لأن لو هذه negative بيصير هذه positive + +144 +00:10:45,880 --> 00:10:51,210 +يعني أن أنت هنا بالفرضية هذه بتقول I لا بيكون in + +145 +00:10:51,210 --> 00:10:55,590 +phase مع جوجز إذا كانت φ بالساوي صفر لا بيكون I + +146 +00:10:55,590 --> 00:11:00,810 +leads إذا كانت φ سالبة أو I lags إذا كانت φ + +147 +00:11:00,810 --> 00:11:05,190 +موجبة وبالتالي أنت بالفرضية هذه بتحط كل احتمالات + +148 +00:11:05,190 --> 00:11:09,050 +اللي عندك بس المهم φ قد ايش تطلع قعدنا نشوف كيف + +149 +00:11:09,050 --> 00:11:13,790 +تطلع Where the constant φ is called the phase + +150 +00:11:13,790 --> 00:11:16,250 +angle between the current and the applied voltage + +151 +00:11:16,250 --> 00:11:22,290 +خليني أرسم شباب كيف بدي أرسم طبعًا الآن المعلومة + +152 +00:11:22,290 --> 00:11:28,570 +اللي عندي بتقول الجهد والتيار في R in phase الجهد + +153 +00:11:28,570 --> 00:11:34,890 +والتيار في R in phase هذه I هذه زيها بدها تكون in + +154 +00:11:34,890 --> 00:11:43,870 +phase VL دائمًا بتقدم لأن الـ I بتأخر في الـ L وهنا + +155 +00:11:43,870 --> 00:11:48,470 +VC تمام هجيت له العواقب المعادلة هديك بتحط وبتشتغل + +156 +00:11:48,470 --> 00:11:53,630 +Analytical بدي أنا أرسم الآن رسم هذه رسمتي إيه + +157 +00:11:53,630 --> 00:12:00,670 +بيقول لي بيقول لي حط I عدى برسمها أنا هذه I I أنا إيش + +158 +00:12:00,670 --> 00:12:05,690 +فرضته الشباب بتساوي I maximum sine Omega T ناقص φ + +159 +00:12:08,290 --> 00:12:12,370 +وميجا هذه بتقول أن φ تبعت الجهد بهذه المعادلة + +160 +00:12:12,370 --> 00:12:16,650 +بيقول I بتأخر عن الجهد بـ φ إذا المفروض φ + +161 +00:12:16,650 --> 00:12:21,630 +وأن الجهد هذا هو هذه الجهد هذه I maximum هذه + +162 +00:12:21,630 --> 00:12:27,090 +زاوية φ هيك الرقم بتقول أنا عادي فرضت هذه لو + +163 +00:12:27,090 --> 00:12:31,620 +حطت زائد بتحط I maximum هنا صح ولا لأ؟ طب تفرجيش + +164 +00:12:31,620 --> 00:12:36,660 +طبعًا جالي هذه الـ V maximum طيب جالي الآن كيف VR و + +165 +00:12:36,660 --> 00:12:41,980 +كيف VC VR والتيار in phase إذا بتتوقع VR وين تكون + +166 +00:12:41,980 --> 00:12:50,000 +شكلها هذه هي هذه VR لأنها مع التيار بيقول لي VL أنا + +167 +00:12:50,000 --> 00:12:55,340 +بعرف أن التيار بتأخر عن الـ VL 90 درجة إذا هذه VL + +168 +00:12:57,210 --> 00:13:01,130 +لأن التيار في الـ VL بتأخر عن جهد الـ VL بـ π/2 + +169 +00:13:01,130 --> 00:13:07,850 +درجة في الـ C الـ π/2 فالـ VC قال لي خلاص لكنك رسمت + +170 +00:13:07,850 --> 00:13:11,610 +صار عندك ثلاثة vectors وبدك تجمعهم بقول عشان أجمع + +171 +00:13:11,610 --> 00:13:16,470 +هدول بيجمعوا بيصير vector واحد VL ناقص VC مظبوط ولا + +172 +00:13:16,470 --> 00:13:21,230 +لأ؟ مع هذه تأخذ جزء تربيع الـ فیثاغورس وبتشغل + +173 +00:13:2 + +201 +00:15:41,770 --> 00:15:45,510 +زائد VC مع أنهم متواصلين على التوالي لكن ما سوّاش + +202 +00:15:45,510 --> 00:15:51,610 +الجمع العادي، وتاني الزاوية اللي أنا بدي ياها يا شباب + +203 +00:15:51,610 --> 00:15:55,790 +تاني الزاوية عشان أقعد في الطيارة يتقدم ولا يتأخر + +204 +00:15:55,790 --> 00:16:01,070 +وجد إيش بيساوي مقابل عمود، جاوز المقابل VL ناقص VC + +205 +00:16:01,070 --> 00:16:10,030 +على VR تمام هيك أنا بكون تقريبا حليت مشكلتي الآن VM + +206 +00:16:10,030 --> 00:16:16,310 +هذه بيتعامل معاها جالي هذا مش هي أنا كتبتها لأ + +207 +00:16:16,310 --> 00:16:25,870 +كتبتها وهي راحت ال VR بتساوي I في R، وهذه I في XL + +208 +00:16:25,870 --> 00:16:32,790 +وهذه I في XC، I I I بتطلع برة I ولا لأ بتصير V + +209 +00:16:32,790 --> 00:16:39,410 +maximum المفروض تطلع I الجذر التربيعي لـ R تربيع + +210 +00:16:40,030 --> 00:16:51,730 +plus XL-XC الكل تربيع، هذه طبعًا مكسيمة طلعت هيك قال + +211 +00:16:51,730 --> 00:16:58,050 +حلو هذه جهد وهذه أمبير، هذه لازم تطلع مظبوط أو + +212 +00:16:58,050 --> 00:17:03,230 +لأ؟ هذا يقوم طيب هي تقوم يعني مقاومة كلية المقاومة + +213 +00:17:03,230 --> 00:17:06,150 +كلية في التوصيل على التوالي، أنا ما بعرف إنه R1 زي R2 + +214 +00:17:06,150 --> 00:17:13,630 +زي R3 طيب بدل R1 هي R، R2 هي XL، وR3 هي XC لكن لما + +215 +00:17:13,630 --> 00:17:18,450 +جاء جماعة توميش ما طلعوش R زي XL زي XC طلع R تربيع + +216 +00:17:18,450 --> 00:17:22,890 +زي XL-XC تربيع، هذا اللي بيسمّوها الـ Z الـ impedance + +217 +00:17:22,890 --> 00:17:27,610 +تمام، تسمّوها الـ impedance وهذه نفس العملية خلّينا + +218 +00:17:27,610 --> 00:17:32,590 +using the relations اللي كتبتها إن VR بتساوي I + +219 +00:17:32,590 --> 00:17:40,880 +maximum في R، و VL بتساوي I maximum في XL، و VC بتساوي + +220 +00:17:40,880 --> 00:17:44,620 +I maximum في XC، هدول القوانين أهم عاديين بس دائمًا + +221 +00:17:44,620 --> 00:17:48,900 +تستبدل ال R بالـ XL وبالـ XC لما تكون عندك L أو C + +222 +00:17:48,900 --> 00:17:53,420 +فصارت عندي V maximum بتساوي I maximum من R تربيع زي + +223 +00:17:53,420 --> 00:17:57,340 +هذه الكمية أعطوها الرمز Z طبعًا واضح هو هدية الـ Z + +224 +00:17:57,340 --> 00:18:02,530 +إيش بدو يكون؟ أو لأن هذه Ω وهذه Ω وهذه Ω فهي Ω where + +225 +00:18:02,530 --> 00:18:06,790 +Z equal the square root of R square plus the + +226 +00:18:06,790 --> 00:18:12,390 +square of the difference between XL and XC تمام، و + +227 +00:18:12,390 --> 00:18:16,070 +Z is called the impedance of the circuit with its + +228 +00:18:16,070 --> 00:18:21,810 +unit is Ω، the phase angle is now given، و التنفع + +229 +00:18:21,810 --> 00:18:28,450 +هتولي أقول إن هي عبارة عن VL ناقص VC على VR هيك + +230 +00:18:28,450 --> 00:18:34,650 +أصرّها، هذه عبارة عن I XL، وهذه I XC، وهذه I R، راعت مع I + +231 +00:18:34,650 --> 00:18:40,750 +راعت مع I صفت على العلاقة هذه الآن + +232 +00:18:40,750 --> 00:18:48,410 +XL، أنا بعرف إن XL بتساوي أوميغا في L، و XC بتساوي واحد + +233 +00:18:48,410 --> 00:18:53,870 +على أوميغا في C، إذا ليه بيحدد الزوايا في هذا بيقول + +234 +00:18:53,870 --> 00:19:02,010 +قيم L وR وC، قيم ω، L، وC، طيب أنا عندي ثلاثة لو أنا + +235 +00:19:02,010 --> 00:19:05,550 +بدي بس تكون R، ارجع للمعادلة الأولى أو الدائرة + +236 +00:19:05,550 --> 00:19:08,030 +الأولى، إيش معناه؟ لا في عندك capacitor ولا في + +237 +00:19:08,030 --> 00:19:11,590 +عندك inductor، معناه هذه صفر وهذه صفر، صح، لما + +238 +00:19:11,590 --> 00:19:17,660 +تكون هذه صفر وهذه صفر is it بالساوي؟ اه، عادي + +239 +00:19:17,660 --> 00:19:23,260 +لأن ما فيش لا L ولا Z زي مقاومة + +240 +00:19:23,260 --> 00:19:26,640 +لأنها ممكن تساوي R، هذه واحدة Ω وهذه واحدة Ω + +241 +00:19:26,640 --> 00:19:31,920 +فتقول لي لو كانت الـ XL صفر والـ XC صفر، يعني لا L + +242 +00:19:31,920 --> 00:19:36,040 +موجودة ولا C موجودة، الـ Z هي R، ارجعت لدائرتك الأولى + +243 +00:19:36,040 --> 00:19:40,640 +ففي دائرتك الأولى جديش كلمة Φ مش كانوا in phase + +244 +00:19:40,640 --> 00:19:45,000 +يعني قال دي في زاوية بينهم zero، قال لو هذه ساويّة + +245 +00:19:45,000 --> 00:19:48,480 +هذه مش بتصير صفر، وإيش الزاوية اللي تانها صفر؟ صفر + +246 +00:19:48,480 --> 00:19:55,580 +إذا Φ تطلع صفر، صح؟ طيب قال لي لو ما فيش عندك لا R + +247 +00:19:55,580 --> 00:20:02,320 +ولا X ولا capacitor، لا R ولا capacitor، الصح إن + +248 +00:20:02,320 --> 00:20:05,760 +الـ Φ تطلع تسعين درجة، مظبوط ولا لأ؟ الـ Φ تطلع + +249 +00:20:05,760 --> 00:20:11,380 +تسعين، قال لي هذه صفر، صار تاني الزاوية مالانهاية + +250 +00:20:11,380 --> 00:20:17,720 +إيش الزاوية اللي تانها مالانهاية؟ تسعين، هي 90 صح طيب + +251 +00:20:17,720 --> 00:20:23,700 +هذه صفر وهذه صفر، هذه صفر وهذه صفر، جاءني الـ Z XL + +252 +00:20:23,700 --> 00:20:28,840 +برضه صح، الـ Z ممكن تجي على الـ XL وقت إيش؟ لما يكون + +253 +00:20:28,840 --> 00:20:34,540 +لا في عندك R ولا في عندك capacitor، طيب ليه عندك R و + +254 +00:20:34,540 --> 00:20:38,420 +ليه عندك Inductor؟ ما فيش عندك إلا capacitor تتوقع + +255 +00:20:38,420 --> 00:20:43,100 +زي دي إيش تساوي؟ XC هذه مش موجودة وهذه مش موجودة + +256 +00:20:43,100 --> 00:20:47,840 +زي دي هي XC، منطقي، فبالزاوية بيقول يصير زائد بيع + +257 +00:20:47,840 --> 00:20:51,460 +اتنين، إذن الزاوية لازم تكون مالانهاية، هي مال + +258 +00:20:51,460 --> 00:20:56,950 +نهاية، تمام تسعين، بس عشانه أنا هذه مش موجودة + +259 +00:20:56,950 --> 00:21:00,930 +بالسالب، سالب مالانهاية، إذا الزاوية سالب تسعين + +260 +00:21:00,930 --> 00:21:04,470 +وانتوا عارفين رسمة التان إذا كنتوا ذاكرينها في + +261 +00:21:04,470 --> 00:21:08,350 +رسمة الكلكولات موجودة asymptotes دائمًا عليها عند + +262 +00:21:08,350 --> 00:21:11,410 +كل تسعين درجة في asymptotes عند التسعين دائمًا + +263 +00:21:11,410 --> 00:21:17,450 +بتكون مالانهاية، لانهاية الكوساين والكوساين تمام، from the last + +264 +00:21:17,450 --> 00:21:19,890 +two equations we conclude that الكلام اللي أنا + +265 +00:21:19,890 --> 00:21:23,950 +حكيته بقول لي أول حاجة if the circuit consists only + +266 +00:21:23,950 --> 00:21:28,470 +of a resistor، بس في resistor، دائرتنا الأولى، with + +267 +00:21:28,470 --> 00:21:32,590 +the source، يعني لا XL موجودة ولا XC موجودة، we have + +268 +00:21:32,590 --> 00:21:37,930 +Z بتساوي R، أمين منطقي لازم Z بتساوي R، and the phase + +269 +00:21:37,930 --> 00:21:47,050 +angle is zero، that is I and V are in phase، بيقول + +270 +00:21:47,050 --> 00:21:50,810 +if the circuit consists only of an inductor، بس + +271 +00:21:50,810 --> 00:21:54,950 +inductor، إذا الـ I لازم تكون lags لازم تتأخر 90 + +272 +00:21:54,950 --> 00:22:01,040 +درجة، بيقول لي أول حاجة R Ω، X C صفر، إذا الـ Z بتساوي X L + +273 +00:22:01,040 --> 00:22:05,080 +and the phase angle is 90 degree، لما في هذه الحالة + +274 +00:22:05,080 --> 00:22:08,440 +تاني الزاوية equal infinity، and this mean that the + +275 +00:22:08,440 --> 00:22:15,380 +angle is π over 2، that is I lags behind V by 90 + +276 +00:22:15,380 --> 00:22:20,340 +degree، إذا كان السيركيت موجود فقط من مصدر capacitor + +277 +00:22:20,340 --> 00:22:25,740 +مع المصدر يعني لا R موجودة ولا XL موجودة، نحن + +278 +00:22:25,740 --> 00:22:30,980 +لدينا Z بتساوي XC، والانجل الفيز هو leads من 90 درجة + +279 +00:22:30,980 --> 00:22:35,950 +يعني I تدفع V من 90 درجة، قال الآن الثلاثة موجودين + +280 +00:22:35,950 --> 00:22:40,510 +طيب إيش بدو يسوي التيار؟ بدو يكون مع ولا lags ولا + +281 +00:22:40,510 --> 00:22:45,170 +leads؟ قال لي مع صعب لأنه ما بيصير مع، أنا لا موجود، لا + +282 +00:22:45,170 --> 00:22:48,370 +X موجود ولا X موجود، فأولًا هذه الثلاثة موجودين، + +283 +00:22:48,370 --> 00:22:51,830 +إذا ممنوع يكون in phase، طيب قولي طيب lags ولا leads؟ + +284 +00:22:51,830 --> 00:23:01,280 +بقول الـ leads صفة الـ C والـ lags صفة الـ L، بقول إذا + +285 +00:23:01,280 --> 00:23:07,580 +الـ C أكبر المفروض هي اللي تفرض صفاتها، إذا الـ C هي + +286 +00:23:07,580 --> 00:23:12,600 +أكبر المفروض تفرض صفاتها، إيه صفتها؟ إن الـ I leads + +287 +00:23:12,600 --> 00:23:19,870 +بس في حد شركة بيفرض كل شروطه؟ لا، كل مكان مصيبة أكثر + +288 +00:23:19,870 --> 00:23:26,410 +في الشركة بفرض شروط أكثر هجيء شيء شركة، إذا الـ XC + +289 +00:23:26,410 --> 00:23:32,670 +أكبر من الـ XL، الشرط الأول إنه I لازم leads، تفرض + +290 +00:23:32,670 --> 00:23:36,170 +الشرط الثاني 90 درجة بيروح الـ XL بيقول لأ أنا + +291 +00:23:36,170 --> 00:23:40,030 +أتنقل حصّة بالضبط 90 درجة بيصير ممكن 40 درجة ممكن + +292 +00:23:40,030 --> 00:23:45,470 +30 درجة بحسب قدّاش حصّته في إيش معناتها؟ بقول in + +293 +00:23:45,470 --> 00:23:51,090 +general، الثلاثة موجودين if XL أكبر من XC، شروط منها + +294 +00:23:51,090 --> 00:23:57,650 +تُنفرِج الـ L، شروط الـ L إنّه I lags the phase angle is + +295 +00:23:57,650 --> 00:24:05,320 +positive، and I lags behind V 90 درجة لأ بزاوية Φ + +296 +00:24:05,320 --> 00:24:10,040 +مين بديّه يحصل بها في قيم XL وقيم XC وقيم R in + +297 +00:24:10,040 --> 00:24:13,820 +the other hand if XL هي الجميلة وXC البعيدة + +298 +00:24:13,820 --> 00:24:18,140 +الكبيرة the phase angle is negative and I leads V + +299 +00:24:18,140 --> 00:24:24,720 +بس الصفة الـ C هي السائدة وبالتالي بيكون الـ I leads + +300 +00:24:24,720 --> 00:24:32,420 +لكن بزاوية مش 90 درجة، طيب بيقول لي شغلة ثانية بيقول لي أنت + +301 +00:24:32,420 --> 00:24:39,640 +قلت لي توا لو ما يكون الـ XC والـ XL مش موجودين احنا + +302 +00:24:39,640 --> 00:24:49,020 +قلنا Z بتساوي R، تغير البيئة plus XL ناقص XC square + +303 +00:24:50,130 --> 00:24:52,670 +هيجت لا هذه موجودة ولا هذه موجودة لأن ليس زي ذات + +304 +00:24:52,670 --> 00:24:56,950 +أو R، طب ما كان زي ذات برضه بيساوي R لما هذه و + +305 +00:24:56,950 --> 00:25:00,630 +هذه تساوي بعض ولا لأ؟ إذا بيطلع Ω، بيقول لو هذه + +306 +00:25:00,630 --> 00:25:05,970 +ساوى هذه، احنا قلنا لو واحدة تغلّب التانية، أمي خلاص + +307 +00:25:05,970 --> 00:25:09,390 +واحدة بتفرض شروطها، فبتنين تساوي بقولوا واحدة بتفرض + +308 +00:25:09,390 --> 00:25:12,250 +شروطها، مين ساعتها؟ البني آدم اللي قاعد أقول لك أنا + +309 +00:25:12,250 --> 00:25:15,730 +معاناك وأنت قاعد أنت حرين، أنا بصير وأنا بفرض شروطي + +310 +00:25:15,730 --> 00:25:21,730 +بصيروا in phase، في هذه الحالة بتان الـ Φ بتساوي + +311 +00:25:21,730 --> 00:25:24,190 +XL-XC + +312 +00:25:25,680 --> 00:25:28,040 +إذا التنين صفر، حاجة ما هو هي أنا حرّة ما فيش + +313 +00:25:28,040 --> 00:25:31,860 +غيرها هدول موجودين لكن بيصيروا بعيد، برضه الـ R + +314 +00:25:31,860 --> 00:25:36,240 +صارت تاني زاويتها صفر، وصيروا in phase، إذن أنا + +315 +00:25:36,240 --> 00:25:41,180 +حالتين R بتفرض شروطها إما لما يكون التنين غايبين + +316 +00:25:41,180 --> 00:25:45,380 +أو التنين موجودين وبيناتحوا بعيد، جات بعيد بتنفرض + +317 +00:25:45,380 --> 00:25:51,500 +بشروطها، بيقول لي وين XL بتساوي XC؟ The phase angle is + +318 +00:25:51,500 --> 00:25:55,460 +again zero in this case and the impedance equals + +319 +00:25:55,460 --> 00:25:59,140 +the resistance R and the current has its peak + +320 +00:25:59,140 --> 00:26:03,420 +value، بيقول لي أنت تقوى حقًا I maximum بتساوي V + +321 +00:26:03,420 --> 00:26:11,160 +maximum على Z، هذه Z هيها، هذه بتزيد دمها، يتجلى هذه + +322 +00:26:11,160 --> 00:26:14,860 +أقل قيمة لها R لأنه زائد هذين لما يروحوا يصير هذه + +323 +00:26:14,860 --> 00:26:19,240 +قليلة، معناتها عندما XL بيساوي XC، هذه بتكون أكبر + +324 +00:26:19,240 --> 00:26:24,600 +قيمة لها، peak value، بيقول when XL بيساوي XC then + +325 +00:26:24,600 --> 00:26:28,360 +the phase angle Φ equal to zero in this case the + +326 +00:26:28,360 --> 00:26:31,380 +impedance equals the resistance and the current + +327 +00:26:31,380 --> 00:26:36,740 +has its peak value given by على R، على Z اللي ساويّة + +328 +00:26:36,740 --> 00:26:41,780 +R، V maximum على R، بيقول عند هذه النقطة بيقول الدائرة + +329 +00:26:41,780 --> 00:26:46,680 +صار فيها resonance، رنين، إذا الرنين بيحصل وقت إيش؟ + +330 +00:26:46,680 --> 00:26:52,500 +لما XL تساوي XC، بتكون التيار صار peak، احنا هناخده + +331 +00:26:52,500 --> 00:26:58,010 +المرة الجاية، الفرقنسية اللي بتدعى رمزها بالرمز أوميغا + +332 +00:26:58,010 --> 00:27:02,490 +Note at which this occurs is called the resonance + +333 +00:27:02,490 --> 00:27:09,310 +يعني بيقول لي لما XL تساوي XC، XL تساوي XC، صار في + +334 +00:27:09,310 --> 00:27:14,290 +عندك تيار وصل قيمته لغاية Z بتساوي R، قال لي مش هذه + +335 +00:27:14,290 --> 00:27:18,630 +أوميغا L وهذه 1 على أوميغا C، بتقدر يجيب لي أوميغا؟ + +336 +00:27:18,630 --> 00:27:23,210 +بقوله بقدر أجيبها، إذا وقت إيش ω بتساوي XC لما + +337 +00:27:23,210 --> 00:27:26,970 +أوميغا تساوي هنا ω not، بساوية على الجذر + +338 +00:27:26,970 --> 00:27:32,930 +التربيعي على LC، إذا لما أوميغا بتساوي الجذر + +339 +00:27:32,930 --> 00:27:36,670 +التربيعي على LC بيقول هنا صرفي عندي resonance أوميغا + +340 +00:27:36,670 --> 00:27:39,930 +not عملتها فهذه هي أوميغا not هذه هو ال frequency + +341 +00:27:39,930 --> 00:27:43,550 +تبع الـ resonance زي ما المرة دي أنا حكيت لكم أنا + +342 +00:27:43,550 --> 00:27:47,770 +كيف بدي أغيّر عليه طبعًا في أي دائرة استقبال، إذا + +343 +00:27:47,770 --> 00:27:54,770 +دائرة كهربائية ساويّة دائرة جاية من برة بصي في + +344 +00:27:54,770 --> 00:27:58,390 +عندك peak وبالتالي الـ peak هذا بترصده بيكون مصمم + +345 +00:27:58,390 --> 00:28:01,610 +إنك ترصد أنت قيمة معينة بيكون عندك peak وبتدخل + +346 +00:28:01,610 --> 00:28:05,270 +الموجة جوا دائرة الكهربائية، بتستقبلها وبتحوّلها + +347 +00:28:05,270 --> 00:28:11,990 +عشان في الأجهزة بيستقبلوا أكثر من موجة بيكون لازمهم + +348 +00:28:11,990 --> 00:28:16,510 +هذه تكون متغيّرة في الراديو الشغلة السهلة اللي + +349 +00:28:16,510 --> 00:28:19,870 +أنتوا دائمًا بتعرفوها لما تغيّر من موجة لموجة هذه + +350 +00:28:19,870 --> 00:28:24,010 +بتتغيّر يا شباب، الـ C بتتغيّر لما تغيّر من موجة لموجة + +351 +00:28:24,010 --> 0:28:28,610 +بيغيروا الـ C بيقول لما تغيّر الـ C بيصير الـ radio + +352 +00:28:28,610 --> 00:28:33,490 +تبعك الـ frequency الـ resonance frequency بتغيّر أنت + +353 +00:28:33,490 --> 00:28:39,640 +بدّك موجة الـ BBC بتجيبها، بتدلّك تغيّر لما تصير أوميغا + +354 +00:28:39,640 --> 00:28:45,560 +Nord تبعات الراديو بيصير Matching لتبعات الـ BBC + +355 +00:28:45,560 --> 00:28:49,720 +بتجيبك عشان كده بيكونوا حاطين على الشريط كم ميغا + +356 +00:28:49,720 --> 00:28:54,880 +هرتز وكم كيلو هرتز والشغلات هذه، هجيء هذا تبعت + +357 +00:28:54,880 --> 00:28:59,850 +تبعك، تمام؟ وأنت بيقوله إن أنا برضه بفعل هذه + +358 +00:28:59,850 --> 00:29:04,310 +الموجة أنت بتساوي لما تغيّر من محطة لمحطة بتخلي + +359 +00:29:04,310 --> 00:29:10,070 +رنين دائرة الراديو تبعتك بتساوي رنين أو توافق + +360 +00:29:10,070 --> 00:29:14,090 +الموجة اللي بدّك تستقبلها، أول ما يصير matching بتخش + +361 +00:29:14,090 --> 00:29:17,910 +الموجة وبتستقبلها وبتحوّلها لصوت وبتعملها لأن + +362 +00:29:17,910 --> 00:29:21,270 +الصوت بيكون محمل بـ electromagnetic waves وبنتعامل + +363 +00:29:21,270 --> 00:29:27,860 +معها على هذا الأساس الـ C .. لأ .. اه .. أنت الـ C + +364 +00:29:27,860 --> 00:29:31,940 +.. أنا كنت مفروض إنّي جيبت اسمه، خلينا أنا بحكي عن + +365 +00:29:31,940 --> 00:29:34,740 +الراديو القديم هلجيته؟ وبعدين الناس العملية بتعرف + +366 +00:29:34,740 --> 00: + +401 +00:32:06,000 --> 00:32:10,920 +مراجعة بمعنى آخر مش دراسة من ال zero بطريقة اللي + +402 +00:32:10,920 --> 00:32:13,640 +أنت بدك إياها تشوف إيش الخبر بيقول أو إيش المثال + +403 +00:32:13,640 --> 00:32:17,960 +بيقول in a series RLC circuit طبعًا في الأسئلة اللي + +404 +00:32:17,960 --> 00:32:21,420 +بنجيبها هي سؤال final بعدين بجيب سؤال R لحاله سؤال + +405 +00:32:21,420 --> 00:32:24,990 +L لحاله سؤال C لحاله وبجيب هذول ما هذا مش بالهم كلهم + +406 +00:32:24,990 --> 00:32:31,090 +ولا لأ؟ أدهوني فبقول لي هاي series RLC circuit we + +407 +00:32:31,090 --> 00:32:35,790 +had V maximum بيساوي one hundred and twenty volt R + +408 +00:32:35,790 --> 00:32:40,090 +معطيني إياها two hundred ohm C equal four micro farad + +409 +00:32:40,090 --> 00:32:43,930 +L مش معطيني إياها عندك هتشوف طالبها معطيني إياها ل frequency + +410 +00:32:43,930 --> 00:32:49,610 +Omega Omega تمام عشان بدي أجيب XL و XC بدي Omega + +411 +00:32:49,610 --> 00:32:54,280 +يا شباب مظبوط ولا لا؟ لإن هاي XL أوميجا L أو أوميجا + +412 +00:32:54,280 --> 00:32:56,880 +C مظبوطون لأ فأوميجا بتلزم طبعًا هم بيعطوك ال + +413 +00:32:56,880 --> 00:33:00,000 +frequency عشان تقول أوميجا بتساوي 2 by F مش تخضّيه + +414 +00:33:00,000 --> 00:33:07,080 +هذه تقولي find L بده find L طب L كيف أجيبها؟ أنا + +415 +00:33:07,080 --> 00:33:14,810 +عشان أجيبها بدي XL فأنا لأ لإن لو عرفت XL هو إذا + +416 +00:33:14,810 --> 00:33:18,250 +أنا ما كنت أعرف فهو ممكن أجيب L كيف بدي أجيب XL؟ ده + +417 +00:33:18,250 --> 00:33:22,970 +اللي يجب أجيب XL إذا عرفت Z صح ولا لأ؟ أو إذا عرفت + +418 +00:33:22,970 --> 00:33:25,310 +شغلات ثانية؟ بقول لي طبعًا شو اللي يجب أن أكتبه؟ such + +419 +00:33:25,310 --> 00:33:30,510 +that the voltage across the capacitor lags behind + +420 +00:33:30,510 --> 00:33:35,130 +the applied voltage by 30 degrees بيقول بحيث أنه + +421 +00:33:35,130 --> 00:33:41,730 +كان عنده الجهد على الكباسيتر بيتأخر عن الجهد الكلي + +422 +00:33:41,730 --> 00:33:47,150 +ال 30 درجة لما تيجي تتعامل معاها يا شباب ال phase + +423 +00:33:47,150 --> 00:33:49,590 +diagram مش بيتعامل معاه بدي أنا عندي phase diagram + +424 +00:33:49,590 --> 00:33:55,010 +بدي أحفظه أنه التيار على ال X-axis إذا V تبعت ال R + +425 +00:33:55,010 --> 00:34:00,790 +وين؟ على ال X-axis انفذه التيار بنثبته على ال X + +426 +00:34:00,790 --> 00:34:04,890 +-axis إذا الجهود تبع R على ال X-axis تبع L على ال + +427 +00:34:04,890 --> 00:34:09,090 +Y-axis لفوق تبع ال C على ال Y-axis لتحت هو جالي + +428 +00:34:09,090 --> 00:34:14,430 +هذه ومتغيروش المشكلة في ال .. هذه ال VR و هذه ال + +429 +00:34:14,430 --> 00:34:20,140 +VL وهذه ال VC إيش بقول لي الآن؟ هذه إيه بتتأخر عن + +430 +00:34:20,140 --> 00:34:26,000 +الكليّة بت 30 درجة زي الكلية ما بتكون طب أنا بدي في + +431 +00:34:26,000 --> 00:34:31,920 +في بين من ومين؟ في بين I و V بين I و V إذا هي في + +432 +00:34:31,920 --> 00:34:34,840 +بتقدر تجيب في هلجيتها ولا لا؟ ما ال 30 بس بالسلف + +433 +00:34:34,840 --> 00:34:39,040 +عشان المربع الأخير مظبوط ولا لا؟ أو بقدر أقول هي زي + +434 +00:34:39,040 --> 00:34:45,620 +هذا هي تلاتين ممكن أعمل طبعًا كل واحد طبعًا خلها + +435 +00:34:45,620 --> 00:34:49,140 +إذا أنا إذا عرفت في أنا حليت كل المشكلة ليش لإن + +436 +00:34:49,140 --> 00:34:55,240 +ثاني الـفي بتساوي XL-XC على R XC عرفتها و R عرفتها يبقى + +437 +00:34:55,240 --> 00:35:01,540 +XL بدور عليها طبعًا إذا بيقول لي بيقولوا الآن since + +438 +00:35:01,540 --> 00:35:05,420 +the angle phi is between the applied voltage and + +439 +00:35:05,420 --> 00:35:09,520 +the voltage across R يعني على التيار and since the + +440 +00:35:09,520 --> 00:35:13,980 +angle between Vr and Vc is تسعين هذه تسعين وهذه + +441 +00:35:13,980 --> 00:35:18,500 +ثلاثين إذا هذه phi بتساوي ستين بالثانية بتساوي في + +442 +00:35:18,500 --> 00:35:24,440 +طلعناها جالي إذا طلعت في ناو جيب xc وأجهزها xc + +443 +00:35:24,440 --> 00:35:27,180 +بتعرفها ما أنت هي واحد على أوميجا سي وأوميجا اثنين + +444 +00:35:27,180 --> 00:35:30,820 +باي في ال frequency طلعتها هتيجي تجيب العلاقة الثانية + +445 +00:35:30,820 --> 00:35:35,960 +الفي ثانية الـفي بتساوي xl نقص xc على r هتيجي الثانية + +446 +00:35:35,960 --> 00:35:40,440 +الفي الثانية السابقة ستين طلعتها تمام؟ xl بعرفهاش، + +447 +00:35:40,440 --> 00:35:44,760 +xc توي جاهزة وهيها وال r معطية بقدر أجيب xl ولا + +448 +00:35:44,760 --> 00:35:51,560 +لأ؟ لما أجيب xl ساعتها XL المطلوبة L إذا جيبت L وده + +449 +00:35:51,560 --> 00:35:55,120 +هو سؤال سهل إذا هذا سؤال بعتمد على ال phase + +450 +00:35:55,120 --> 00:35:58,800 +diagram أنك ترسم ال phase diagram وتشتغل عليه كيف + +451 +00:35:58,800 --> 00:36:01,380 +ال phase diagram بتدور فيه بدل ما يقول لك الزاوية + +452 +00:36:01,380 --> 00:36:08,700 +فيه يقول لك X VC بتتأخر عن الجهد كله ب 30 درجة بدل + +453 +00:36:08,700 --> 00:36:11,400 +ما يقول لك جد إيش الزاوية فيه ويقول لك أنت لحالك طلع + +454 +00:36:11,400 --> 00:36:16,960 +الزاوية فيه المثال الورقي التقليدي نقول in a series + +455 +00:36:16,960 --> 00:36:23,080 +RLC circuit ال V maximum 150 volt طبعًا يا شباب هذه + +456 +00:36:23,080 --> 00:36:26,780 +المعطية مرات ما نكتبهاش هذا إحنا بندي دائرة + +457 +00:36:26,780 --> 00:36:28,420 +الدائرة هي كانت مرسومة في الامتحان + +458 +00:36:33,190 --> 00:36:37,590 +طبعًا هنا إيش بيقول لي؟ R جد إيش؟ R 425 Ohm مافيش + +459 +00:36:37,590 --> 00:36:45,410 +مشكلة C 3.5 مايكروفراد مافيش مشكلة هذه 1.25 هن + +460 +00:36:45,410 --> 00:36:49,170 +اللي مافيش مشكلة ال V maximum بيجيها هيك بقول V + +461 +00:36:49,170 --> 00:36:56,670 +بيساوي 150 Sine Omega T هل جيت في فاصمة زي هذه في + +462 +00:36:56,670 --> 00:37:01,600 +حالة برضه في فاصمة بيقول جد إيش R؟ لما كل معطيات هي كل + +463 +00:37:01,600 --> 00:37:05,300 +معطيات في حد بالفاصلة يقول قد إيش R تمام يعني لما + +464 +00:37:05,300 --> 00:37:10,740 +يقول لك هنا في المثال for the circuit shown وبس هجد + +465 +00:37:10,740 --> 00:37:16,040 +C قد إيش مش معطية وهنا المعطية V maximum قد إيش + +466 +00:37:16,040 --> 00:37:19,520 +بتاخذها منها مش واحد يقول لك وين V maximum هي V + +467 +00:37:19,520 --> 00:37:23,800 +maximum فبعضها تكمل عملها في الامتحانات تمام إيش + +468 +00:37:23,800 --> 00:37:27,490 +بده؟ طبعًا الـ Omega معطاة طبعًا حتى Omega هذه ممكن + +469 +00:37:27,490 --> 00:37:34,150 +أنا محطهاش هناك أحط هنا 377 T وخلاص وبالتالي كل + +470 +00:37:34,150 --> 00:37:37,470 +مواطنة السؤال الآن في الرسمة موجودة إيش بده + +471 +00:37:37,470 --> 00:37:43,630 +Determine Z عشان تجيبها بدك XL و XC اللي يجب أن + +472 +00:37:43,630 --> 00:37:46,850 +تعرف أن XL بتساوي أوميجا في L و XC بتساوي واحد على + +473 +00:37:46,850 --> 00:37:53,430 +أوميجا C عشان فيما لو خربط في القوانين أن L برج على + +474 +00:37:53,430 --> 00:37:58,010 +سلك في ال DC circuit إذا معناته سلك دي مش مقاومته + +475 +00:37:58,780 --> 00:38:02,560 +زيرو عشان كده بيكون omega في ال .. عشان يطلع صفر + +476 +00:38:02,560 --> 00:38:06,460 +ال capacitor أذكر في ال DC circuit بيصير open + +477 +00:38:06,460 --> 00:38:10,000 +circuit يعني مقاومته ملا نهاية إذا لازم omega تكون + +478 +00:38:10,000 --> 00:38:12,620 +في المقام لإن مرات الطالب بيخربط في المقام وفي ال + +479 +00:38:12,620 --> 00:38:15,640 +بس يقول هذه بهادي فربطها بهذه الشغلة عشان + +480 +00:38:15,640 --> 00:38:20,410 +ما تنسهاش Find the maximum current in the circuit ال + +481 +00:38:20,410 --> 00:38:23,690 +maximum current يا شباب معظم سهل أو V maximum بس + +482 +00:38:23,690 --> 00:38:30,370 +علش على Z على Z الكاملة تمام وبعدين بده ال phase + +483 +00:38:30,370 --> 00:38:34,440 +angle Phi هيها بعدين find the maximum voltage + +484 +00:38:34,440 --> 00:38:37,820 +across each element لما نقول each element ساعتها + +485 +00:38:37,820 --> 00:38:41,640 +ال V بتساوي I maximum في R ال V تبعت L بتساوي XL + +486 +00:38:41,640 --> 00:38:45,940 +في I وال V تبعت C بتساوي XC في I و I مشترك + +487 +00:38:45,940 --> 00:38:49,420 +solution بقول لي قبل ما تشتغل كل حاجة بدي أجيب ال + +488 +00:38:49,420 --> 00:38:54,340 +reactances XL بتساوي Omega في L طلعتها XC بتساوي + +489 +00:38:54,340 --> 00:38:59,520 +واحد على Omega C طلعتها هجيت مين بدي يغلب يا شباب ال + +490 +00:38:59,520 --> 00:39:06,590 +XC إذن بتتوقع صفات الـC اللي هو التيار بيتقدم، يعني + +491 +00:39:06,590 --> 00:39:09,970 +الزاوية لازم تكون سالبة، مظبوط ولا لا؟ من هنا، لكن + +492 +00:39:09,970 --> 00:39:14,710 +بقى كم زاوية؟ مش عارفين، لكن قطعًا هنا الـXC أكثر، + +493 +00:39:14,710 --> 00:39:17,830 +حاجات اللي وجيت قلت الدائرة more inductive ولا + +494 +00:39:17,830 --> 00:39:21,730 +more capacitive؟ more capacitive، واضحة من القيا هي + +495 +00:39:21,730 --> 00:39:25,010 +القيام وقتش أنا مقدر أقولها؟ لما يصير أوم مع أوم هي + +496 +00:39:25,010 --> 00:39:30,410 +أوم أوم هذه 478 هذه 758 إذا صفات ال capacitor هي + +497 +00:39:30,410 --> 00:39:34,970 +الغالبة وبالتالي لازم التيار ليه يتزق وأنا مفترض من + +498 +00:39:34,970 --> 00:39:39,350 +أول lags إذا نتسارب هي اللي بتحل المشكلة هجيب ممكن + +499 +00:39:39,350 --> 00:39:45,150 +بقى لما تجيب تقدر تجيب Z طلعت 513 طبعًا الآن the + +500 +00:39:45,150 --> 00:39:49,890 +maximum current is given by I maximum بس هو V + +501 +00:39:49,890 --> 00:39:54,430 +maximum على ال Z الكلية ال Z معروفة و ال V maximum + +502 +00:39:54,430 --> 00:40:00,620 +معروفة طلعناها الآن ال face angle هي قانونها XL نقص + +503 +00:40:00,620 --> 00:40:04,260 +XC على R وهذا كاركوليتر كله معروف بتطلع زي شوف + +504 +00:40:04,260 --> 00:40:09,660 +جد إيش؟ عاد يتقدم ب 34 درجة ما اتقدمش ب 90 درجة لإن + +505 +00:40:09,660 --> 00:40:13,440 +ال knowledge weak أن ال L موجود فرض التقدم طلع + +506 +00:40:13,440 --> 00:40:17,840 +نتيجة زي سالبة لكن ما أقدرش يفضل 90 درجة فقط أخد من + +507 +00:40:17,840 --> 00:40:23,680 +90 34 درجة والباقي اللي أخده أو عوضه هو L + +508 +00:40:23,680 --> 00:40:28,560 +تمام لا تنسى أن السيركيت هو أكثر قواتية لتو + +509 +00:40:28,560 --> 00:40:35,120 +حكيناها، الوضع يدفع الوزيع المستخدم بسعر 34 درجة، + +510 +00:40:35,120 --> 00:40:39,040 +تمام، للمزيد من الوزيع على كل حاجة، الماكسيمام + +511 +00:40:39,040 --> 00:40:42,960 +الكليّة 150 يا شباب صح؟ بتجيب الـ maximum على كل واحدة + +512 +00:40:42,960 --> 00:40:46,100 +زي طبعًا ما حكيت لكم أنه لما بيجي أجمع ال voltmeter + +513 +00:40:46,100 --> 00:40:49,120 +مش هيقرا الجمع عادي طبعًا ال R نص وال V maximum + +514 +00:40:49,120 --> 00:40:55,240 +بيشبهوا بعض هذه طلعت 124 وهذه طلعت 138 وهذه طلعت + +515 +00:40:55,240 --> 00:41:00,840 +221 أجمعهم بتطلع 150 طبعًا بتطلعش 150 مع أن هو ذاك + +516 +00:41:00,840 --> 00:41:04,820 +كله والمفروض توالي توالي المفروض المنطق يقول + +517 +00:41:04,820 --> 00:41:08,400 +جميعه لكن عشان أنا بتعامل معه كإن vectors بيكونش + +518 +00:41:08,400 --> 00:41:14,540 +الشغلة بهذه الحالة كما هذا السؤال لو شفته ال finals + +519 +00:41:14,540 --> 00:41:18,600 +في أكثر من امتحان سابق عارف هذا السؤال كثير زيه + +520 +00:41:18,600 --> 00:41:22,300 +مقرر مش هو نفسه يعني مقرر كثير يعني هو أو اللي + +521 +00:41:22,300 --> 00:41:27,100 +جابله بيكون دائمًا محاط أسئلة بأنا أنا شغلتين ثانية + +522 +00:41:27,100 --> 00:41:32,060 +بسيطتين بديش أعمله عشان نحكي عنه شوية على الامتحان diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/6WiH4BFWFBA_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/6WiH4BFWFBA_raw.json new file mode 100644 index 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0.8966471354166666}], "temperature": 1.0}, {"id": 12, "seek": 29583, "start": 266.69, "end": 295.83, "text": "عشان كده بنقولنا for long time الملف عبارة عن short circuit و for long time الcapacitor open circuit و open circuit بتاعنا المقاومة بيستخدمها لنهاية تمام الآن بقوللي هدول كده متواصلين شباب توالي لو جيت انا بدي احط voltmeter بين طرفين هدول النقطين voltmeter", "tokens": [3615, 8592, 7649, 9122, 3215, 3224, 44945, 39648, 8315, 337, 938, 565, 9673, 46538, 6225, 3555, 9640, 3660, 18871, 2099, 9048, 4032, 337, 938, 565, 2423, 9485, 326, 3029, 1269, 9048, 4032, 1269, 9048, 39894, 45761, 8315, 9673, 4587, 995, 20498, 3660, 4724, 1829, 14851, 9778, 40448, 11296, 5296, 1863, 11296, 10632, 46811, 10943, 6024, 48506, 4724, 39648, 20292, 8032, 3215, 12610, 9122, 3215, 3224, 44650, 2407, 33546, 1211, 9957, 13412, 3555, 16758, 6055, 2407, 6027, 1829, 45164, 10874, 36081, 1975, 8315, 4724, 16254, 1975, 5016, 9566, 5962, 33058, 49374, 23032, 28480, 9957, 8032, 3215, 12610, 28239, 47432, 9957, 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"text": "طب تفرجيش طبعا جالي هاي ال V maximum طيب جالي الآن كيف VR و كيف VC VR و الطيار in phase اذا بتتوقع VR وين تكون شكلها هايها هاي VR لأنها مع الطيار بيقولي VL انا بعرف ان الطيار بتأخر عن ال VL 90 درجة اذا هاي VL", "tokens": [9566, 3555, 6055, 5172, 47341, 1829, 8592, 23032, 3555, 3615, 995, 10874, 6027, 1829, 8032, 47302, 2423, 691, 6674, 23032, 1829, 3555, 10874, 6027, 1829, 6024, 48506, 9122, 33911, 13722, 4032, 9122, 33911, 41922, 13722, 4032, 41950, 1829, 9640, 294, 5574, 1975, 15730, 39894, 2655, 30543, 3615, 13722, 4032, 9957, 6055, 30544, 13412, 28820, 11296, 8032, 47302, 11296, 8032, 47302, 13722, 5296, 33456, 11296, 20449, 41950, 1829, 9640, 4724, 1829, 39648, 1829, 691, 43, 1975, 8315, 45030, 28480, 16472, 41950, 1829, 9640, 39894, 10721, 34740, 18871, 2423, 691, 43, 4289, 11778, 47341, 3660, 1975, 15730, 8032, 47302, 691, 43], "avg_logprob": -0.2532812494039536, "compression_ratio": 1.696969696969697, "no_speech_prob": 0.0, "words": [{"start": 750.94, "end": 751.16, 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اتنين", "probability": 0.9747314453125}], "temperature": 1.0}, {"id": 39, "seek": 91438, "start": 891.08, "end": 914.38, "text": "بتصير عبارة عن اتنين و اتنين و يعيش بينهم زي قائمة فصار هيك اتنين و هيك اتنين و بيصير عبارة عن اتنين جزير اتنين اذا بطل عشرة تمام؟ اذا دايما عملية الجمع زي ال vectors بتكون الجمع عالي تمام؟ كيف تجمعها؟ كل هدول كيف شملهم انت بلقوا واحد و اعملهم بلقوا واحد", "tokens": [3555, 2655, 9381, 13546, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 1863, 9957, 4032, 1975, 2655, 1863, 9957, 4032, 7251, 3615, 1829, 8592, 49374, 16095, 30767, 1829, 12174, 16373, 46007, 6156, 9381, 9640, 39896, 4117, 1975, 2655, 1863, 9957, 4032, 39896, 4117, 1975, 2655, 1863, 9957, 4032, 4724, 1829, 9381, 13546, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 1863, 9957, 10874, 11622, 13546, 1975, 2655, 1863, 9957, 1975, 15730, 4724, 9566, 1211, 6225, 8592, 25720, 46811, 10943, 22807, 1975, 15730, 11778, 47302, 15042, 6225, 42213, 10632, 25724, 2304, 3615, 30767, 1829, 2423, 18875, 39894, 30544, 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0.4840494791666667}, {"start": 1307.05, "end": 1307.29, "word": " if", "probability": 0.38623046875}, {"start": 1307.29, "end": 1307.45, "word": " the", "probability": 0.73779296875}, {"start": 1307.45, "end": 1307.83, "word": " circuit", "probability": 0.91796875}, {"start": 1307.83, "end": 1308.39, "word": " consists", "probability": 0.59521484375}, {"start": 1308.39, "end": 1308.75, "word": " only", "probability": 0.81494140625}, {"start": 1308.75, "end": 1308.99, "word": " of", "probability": 0.97119140625}, {"start": 1308.99, "end": 1309.43, "word": " an", "probability": 0.77587890625}, {"start": 1309.43, "end": 1310.31, "word": " inductor", "probability": 0.85546875}, {"start": 1310.31, "end": 1310.81, "word": " بس", "probability": 0.79248046875}, {"start": 1310.81, "end": 1311.49, "word": " inductor", "probability": 0.889404296875}, {"start": 1311.49, "end": 1311.89, "word": " إذا", "probability": 0.6434326171875}, {"start": 1311.89, "end": 1312.01, "word": " أن", "probability": 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1592.44, "word": " its", "probability": 0.80810546875}, {"start": 1592.44, "end": 1592.7, "word": " peak", "probability": 0.9306640625}, {"start": 1592.7, "end": 1593.2, "word": " value", "probability": 0.98681640625}, {"start": 1593.2, "end": 1593.88, "word": " given", "probability": 0.59716796875}, {"start": 1593.88, "end": 1594.34, "word": " by", "probability": 0.98046875}], "temperature": 1.0}, {"id": 72, "seek": 161368, "start": 1594.8, "end": 1613.68, "text": "على R على زد اللي ساوية R V maximum على R بقول عند هذه النقطة بقول الدائرة صار فيها resonance رانين اذا الرانين بيحصل وقت ايش لما XL تساوي XC بتكون التياث صار peak احنا هناخده المرة الجاية", "tokens": [3615, 23942, 497, 15844, 30767, 3215, 13672, 1829, 8608, 995, 2407, 10632, 497, 691, 6674, 15844, 497, 4724, 39648, 43242, 29538, 28239, 47432, 3660, 4724, 39648, 32748, 16373, 25720, 20328, 9640, 8978, 11296, 30944, 12602, 7649, 9957, 1975, 15730, 34892, 7649, 9957, 4724, 1829, 5016, 36520, 4032, 38149, 1975, 1829, 8592, 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maximum", "probability": 0.80908203125}, {"start": 1598.42, "end": 1598.7, "word": " على", "probability": 0.876953125}, {"start": 1598.7, "end": 1598.96, "word": " R", "probability": 0.95849609375}, {"start": 1598.96, "end": 1599.66, "word": " بقول", "probability": 0.5499267578125}, {"start": 1599.66, "end": 1599.88, "word": " عند", "probability": 0.59326171875}, {"start": 1599.88, "end": 1600.22, "word": " هذه", "probability": 0.8994140625}, {"start": 1600.22, "end": 1600.8, "word": " النقطة", "probability": 0.9814453125}, {"start": 1600.8, "end": 1601.18, "word": " بقول", "probability": 0.81201171875}, {"start": 1601.18, "end": 1601.78, "word": " الدائرة", "probability": 0.9796549479166666}, {"start": 1601.78, "end": 1602.18, "word": " صار", "probability": 0.96142578125}, {"start": 1602.18, "end": 1602.64, "word": " فيها", "probability": 0.96044921875}, {"start": 1602.64, "end": 1603.54, "word": " resonance", "probability": 0.9453125}, {"start": 1603.54, "end": 1604.46, "word": " 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index 0000000000000000000000000000000000000000..b14cf2d1f1161efac7af3924e6f576724ae39f90 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/6WiH4BFWFBA_raw.srt @@ -0,0 +1,2104 @@ +1 +00:00:00,000 --> 00:00:02,680 +موسيقى + +2 +00:00:10,510 --> 00:00:13,710 +طبعا بعد بسم الله الرحمن الرحيم من السنف هو ضال + +3 +00:00:13,710 --> 00:00:18,330 +عندنا محاضرتين محاضرة اليوم ومحاضرة يوم التلاتة + +4 +00:00:18,330 --> 00:00:23,230 +احنا بنكمل الآن chapter ال alternating current + +5 +00:00:23,230 --> 00:00:28,370 +circuits بعد ما اتفقنا انه التيار المتردد بيعطينا + +6 +00:00:28,370 --> 00:00:32,770 +سلبية انه التيار مالوش قيمة واحدة وبالتالي اذا عدد + +7 +00:00:32,770 --> 00:00:37,670 +قيم وقيم بتتغير مع الزمن بيصير عملية جمع القيم مش + +8 +00:00:37,670 --> 00:00:43,000 +فيه صعوبةعشان نتعامل معها عرفنا حاجة نسميها ال + +9 +00:00:43,000 --> 00:00:48,400 +phasor اتفقنا ان ال phasor عشان يصير محكا مع ال + +10 +00:00:48,400 --> 00:00:52,160 +vectors هو عبارة عن vector بلوف ضد عقارب الساعة + +11 +00:00:52,160 --> 00:00:58,860 +طوله بمثل ال maximum value لل AC quantity وما سقطه + +12 +00:00:58,860 --> 00:01:03,240 +على ال y axis بمثل ال instantaneous value of the + +13 +00:01:03,240 --> 00:01:09,080 +AC quantity بالاخر بدأنا نشتغلنشوف الدوائل الطيارة + +14 +00:01:09,080 --> 00:01:14,280 +المترددة كيف نتحللها و كيف نتعامل معاها جونا لل R + +15 +00:01:14,280 --> 00:01:19,320 +لما يكون عندي A طبعا ال I في كل حوار عندي ال V + +16 +00:01:19,320 --> 00:01:24,920 +بتسوي V maximum sin Omega T هاي ال V تبعت ال + +17 +00:01:24,920 --> 00:01:28,760 +source هيك بناخدها لما يكون عندي R طلعت ال I بتسوي + +18 +00:01:28,760 --> 00:01:34,540 +I maximum برضه sin Omega T وبالتالي جونا ال I و ال + +19 +00:01:34,540 --> 00:01:40,780 +V are in phaseالـ I و ال V are in phase فلقلنا I + +20 +00:01:40,780 --> 00:01:48,800 +and V in phase هذه لما يكون في بص أه لما يكون في + +21 +00:01:48,800 --> 00:01:57,680 +عندي L طلعت I بتساوي I maximum sign Omega T ناقص + +22 +00:01:57,680 --> 00:02:07,330 +طاعة 2وبالتالي قلنا ال I lags behind V ال I lags V + +23 +00:02:07,330 --> 00:02:13,530 +طبعا 90 درجة ان ال I بتأخر عن هذه 90 درجة لما يكون + +24 +00:02:13,530 --> 00:02:19,870 +عندي فقط C لجينا I بتساوي I maximum sine Omega T + +25 +00:02:19,870 --> 00:02:25,950 +plus Pi over 2 يعني I leads V + +26 +00:02:28,110 --> 00:02:32,790 +برضه الزاوية 90 درجة هذه المعلومات اللى احنا عندنا + +27 +00:02:32,790 --> 00:02:36,510 +الان انا فى الدائرة دي حاطينها اللى حالها وحاطينها + +28 +00:02:36,510 --> 00:02:39,710 +اللى حالها وحاطينها سي اللى حالها واتعرفنا هايش + +29 +00:02:39,710 --> 00:02:43,830 +بدي اعمل شغلة تشمل الجميع بدي احط التلاتة مع بعض + +30 +00:02:45,110 --> 00:02:50,050 +سيريز R L C A C سيركت يعني هاي التلاتة مع بعض طبعا + +31 +00:02:50,050 --> 00:02:53,610 +هذه التلاتة بتغنينا عن كل الأمور السابقة لإيش؟ لإن + +32 +00:02:53,610 --> 00:02:58,250 +إذا اشتقت هنا بدك R لعلا اتبع L وC صح ولا لأ؟ بدك + +33 +00:02:58,250 --> 00:03:03,330 +L لعلا اتبع R وC صفر بدك ال C لعلا اتبع R وL صفر + +34 +00:03:03,330 --> 00:03:06,750 +وبالتالي هذه المعادلة أو هذا ال section بغيلي + +35 +00:03:06,750 --> 00:03:11,170 +التلسكتشن السابقة ما بيبقى لهم فائدة لأن هذا + +36 +00:03:11,170 --> 00:03:16,330 +بيشملهم تلقائياطب عوانى المشكلة بقول هل V بيصوى V + +37 +00:03:16,330 --> 00:03:21,390 +maximum Sin Omega T التيار كيف بيكون شكله؟ هل + +38 +00:03:21,390 --> 00:03:26,710 +بيكون I maximum Sin Omega T؟ هل هيكون ناقص و إذا + +39 +00:03:26,710 --> 00:03:31,450 +كان ناقص جدش الزاوية؟ و هل هيكون زائد و إذا زائد + +40 +00:03:31,450 --> 00:03:36,500 +جدش الزاوية؟تمام؟ و بعدين شغلت تانية قولنا هادي + +41 +00:03:36,500 --> 00:03:41,840 +ايش وقلنا قد هب هادي؟ قولنا I maximum بتسوى V + +42 +00:03:41,840 --> 00:03:46,860 +maximum على R مظبوط ولا لأ؟ او هادي بتسوى V + +43 +00:03:46,860 --> 00:03:51,920 +maximum على XL مظبوط ولا لأ؟ و هادي بتسوى V + +44 +00:03:51,920 --> 00:03:57,620 +maximum على إيش؟ على XC على اعتبار هادي O هادي + +45 +00:03:57,620 --> 00:04:03,390 +إيش؟ إيش وحدتها هادي؟برضه او و هذه او اذا انا + +46 +00:04:03,390 --> 00:04:06,290 +بتعامل مع مقاومة و قولنا هذه مقاومة المقاومة اللي + +47 +00:04:06,290 --> 00:04:11,450 +احنا نعرفها فهذه مقاومة ال impactor سميتها ال + +48 +00:04:11,450 --> 00:04:15,830 +reactance تمام؟ و هذه سميتها ال reactance بس هذه + +49 +00:04:15,830 --> 00:04:18,570 +سميتها ال impactive و هذه اسمها capacitive و + +50 +00:04:18,570 --> 00:04:22,290 +اتفقنا برضه عشان نعمل matching مع ال DC circuits + +51 +00:04:22,290 --> 00:04:25,510 +انه في ال DC circuits هذه بتساوي صفر و هذه بتساوي + +52 +00:04:25,510 --> 00:04:29,850 +مالة نهايةعشان كده بنقولنا for long time الملف + +53 +00:04:29,850 --> 00:04:33,110 +عبارة عن short circuit و for long time الcapacitor + +54 +00:04:33,110 --> 00:04:39,110 +open circuit و open circuit بتاعنا المقاومة + +55 +00:04:39,110 --> 00:04:44,190 +بيستخدمها لنهاية تمام الآن بقوللي هدول كده + +56 +00:04:44,190 --> 00:04:50,910 +متواصلين شباب توالي لو جيت انا بدي احط voltmeter + +57 +00:04:50,910 --> 00:04:55,830 +بين طرفين هدول النقطين voltmeter + +58 +00:04:58,640 --> 00:05:01,760 +الـ Voltmeter ايش بيقيص هو؟ اي قيمة من الـAC + +59 +00:05:01,760 --> 00:05:05,640 +Circuit مشتفقنا الـR Mass Value صح ولا .. احنا لما + +60 +00:05:05,640 --> 00:05:09,280 +نقول الـVoltmeter بيقرأ 220 Volt و 220 Volt هدى + +61 +00:05:09,280 --> 00:05:13,980 +إيش هي؟ R Mass Value تمام؟ هنا الـR Mass Value على + +62 +00:05:13,980 --> 00:05:17,960 +الـR أنا بعرفها و الـR Mass تبعت الـL عرفتها و + +63 +00:05:17,960 --> 00:05:21,580 +الـR Mass تبعت الـC بعرفها هجيت بدي الـVoltmeter + +64 +00:05:21,580 --> 00:05:29,570 +إيش بيديه قيص نفترض شباب إنه Vأرمس تبع ال R تبع ال + +65 +00:05:29,570 --> 00:05:33,570 +R + +66 +00:05:33,570 --> 00:05:39,370 +تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع + +67 +00:05:39,370 --> 00:05:42,370 +ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R + +68 +00:05:42,370 --> 00:05:42,510 +تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع + +69 +00:05:42,510 --> 00:05:42,510 +ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R + +70 +00:05:42,510 --> 00:05:42,510 +تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع + +71 +00:05:42,510 --> 00:05:42,510 +ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R + +72 +00:05:42,510 --> 00:05:44,090 +تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع + +73 +00:05:44,090 --> 00:05:51,150 +ال R تبع ال R تبع ال R تبع ال R + +74 +00:05:56,290 --> 00:05:59,270 +ليش؟ بيقولي لأن هدى لما تكون اتنين هدى ممكن + +75 +00:05:59,270 --> 00:06:02,630 +ماتكونش اتنين طبعا احنا هنا ال maximum تبعها خلينا + +76 +00:06:02,630 --> 00:06:05,150 +نقول اتنين و شوية مظبوط ولا لأ؟ و هدى ال maximum + +77 +00:06:05,150 --> 00:06:08,190 +تبعها تلاتة و شوية او اربعة تصفر بيقولي انت لما + +78 +00:06:08,190 --> 00:06:12,490 +تكون هدى بتجمع هدى لما تكون maximum خليها هدى لو + +79 +00:06:12,490 --> 00:06:15,050 +كانت ال maximum بيقولي هدى بتكون اتنين هدى متكونش + +80 +00:06:15,050 --> 00:06:20,170 +تسعة و أصلا تتلاتةممكن تكون 1 ممكن تكون 2 زي 3 + +81 +00:06:20,170 --> 00:06:23,410 +ممكن تكون 2 زي 1 ممكن تكون هذه سفر ممكن تكون سالب + +82 +00:06:23,410 --> 00:06:26,370 +لإن أنا عندي القيمة مرة بتكون موجة و مرة بتكون + +83 +00:06:26,370 --> 00:06:29,010 +سالب مرة بتكون maximum و مرة بتكون minimum إذا + +84 +00:06:29,010 --> 00:06:32,070 +عملتي تجمع مش جمع عادي زي لما كنا نجمع أربعة أو + +85 +00:06:32,070 --> 00:06:35,550 +تلاتة ممكن يكون سبعة وممكن يكون خمسة وممكن يكون لا + +86 +00:06:35,550 --> 00:06:38,730 +هيك ولا هيك بحسب الزوايا اللى بتعملها إذا كانت + +87 +00:06:38,730 --> 00:06:43,250 +vector فلما أحطه في work meter بيجمعليش جمع عادي + +88 +00:06:43,250 --> 00:06:49,510 +وبالتالي لا أتوقع أنهاقرألي مجموع ال these على كل + +89 +00:06:49,510 --> 00:06:55,790 +واحد لحالي على كل واحد لحالي وانا هشوف كيف تابع + +90 +00:06:55,790 --> 00:06:59,890 +بيقول consider the circuit which consists of a + +91 +00:06:59,890 --> 00:07:04,530 +resistor an inductor and a capacitor زي ما + +92 +00:07:04,530 --> 00:07:09,770 +بتشايفين connected in series with an AC source let + +93 +00:07:09,770 --> 00:07:18,440 +هذي الصموعة المفروض تكون انا هذي كلها صموعةلت VR و + +94 +00:07:18,440 --> 00:07:24,780 +VL و VC بيكون الوزيع في بعض الأحيان خلال كل أنواع + +95 +00:07:24,780 --> 00:07:29,140 +هذه الـ V مش الماكسيمال عند لحظة ما طبعا لما اقول + +96 +00:07:29,140 --> 00:07:33,020 +عند لحظة مانعته هو حر بيقوللي بقدر اعرف او اقول + +97 +00:07:33,020 --> 00:07:37,560 +since they are connected in series the voltage + +98 +00:07:37,560 --> 00:07:41,920 +across the combination جميع عاديهذه الجامعة عادي + +99 +00:07:41,920 --> 00:07:44,960 +لكن بقدر اجمع حمضين زي تلاتة زي خمسة لأ هذي + +100 +00:07:44,960 --> 00:07:50,080 +الجامعة عاقنة باجمع vectors هذه V هذه بتثور VR زي + +101 +00:07:50,080 --> 00:07:56,620 +VL زي VC هذه V هي الجهود عند لحظة ما ماهياش الارمس + +102 +00:07:56,620 --> 00:08:00,420 +ولا هي ال maximum عند لحظة ما بالتالي هذه شباب + +103 +00:08:00,420 --> 00:08:02,440 +ممكن تكون zero ممكن تكون positive ممكن تكون + +104 +00:08:02,440 --> 00:08:06,960 +negativeهذه كذلك .. لما تكون هذه maximum .. هل + +105 +00:08:06,960 --> 00:08:10,400 +بالضرورة تكون هذه maximum؟ لأ، ولا هذه بتكون زيها، + +106 +00:08:10,400 --> 00:08:12,540 +يعني ممكن تكون هذه maximum، هذه تكون سالب، وهذه + +107 +00:08:12,540 --> 00:08:16,500 +صفر، وبالتالي الجميع بيطلع مشكلة، هذه ال maximum، + +108 +00:08:16,500 --> 00:08:20,830 +هذه السالب نقصت، وهذه zero ماأثرتشكيف اتعامل معها + +109 +00:08:20,830 --> 00:08:23,970 +قال لي احنا انت اتعلمت احكاية ال vectors اسألك + +110 +00:08:23,970 --> 00:08:28,650 +طبعا انت ممكن تعملها معادلة جبرية و تتعامل معاها + +111 +00:08:28,650 --> 00:08:31,910 +كرياضيات بس بتكون دي معادلة جبرية عشان فيها sine و + +112 +00:08:31,910 --> 00:08:33,830 +cosine و انتوا عارفين ال sine و ال cosine في + +113 +00:08:33,830 --> 00:08:36,650 +الجبره بيغلب لإنه التعامل معاه من السهل لما يكون + +114 +00:08:36,650 --> 00:08:39,050 +في عندك variable جوه ال sine وجوه ال cosine بيكون + +115 +00:08:39,050 --> 00:08:43,150 +فيه شوية صعوبة هي دي امين هيها احنا عارفينها + +116 +00:08:47,350 --> 00:08:54,390 +هذه المعادلة يجب أن تكون متساوية + +117 +00:08:54,390 --> 00:09:02,510 +لـ voltage من مصدر الهاتفبتساوي I I هذه المفروض R + +118 +00:09:02,510 --> 00:09:08,230 +I sine Omega T بكتر أكتر بهيك ليش؟ بقول إن هذي + +119 +00:09:08,230 --> 00:09:13,990 +جهدها مع التيار انفذ مظبوط ولا لأ هذي بدي أحط زائد + +120 +00:09:13,990 --> 00:09:16,990 +بقع اتنين و هذي نقص بقع اتنين فسيصبح المعادلة شوية + +121 +00:09:16,990 --> 00:09:21,170 +معقدة جبريا عشان أحلها فبديش أحلها بالجبر بدي + +122 +00:09:21,170 --> 00:09:24,710 +أحلها بواسطة ال phase diagram كيه بدي أعمل ال + +123 +00:09:24,710 --> 00:09:29,170 +phase diagram؟ to solve this equationwe use the + +124 +00:09:29,170 --> 00:09:33,070 +phase diagram to give it phasors by letting the + +125 +00:09:33,070 --> 00:09:37,350 +phasor representing I to be along the horizontal + +126 +00:09:37,350 --> 00:09:40,590 +axis قال لي كيبك تشتغل قال لي دول موصلين على + +127 +00:09:40,590 --> 00:09:44,810 +التوالي صح ولا لأ في التوالي إيش المشترك؟ التيار + +128 +00:09:44,810 --> 00:09:49,570 +قال لي التيار ما هم مشترك حطه عند axis معينالتيار + +129 +00:09:49,570 --> 00:09:54,990 +بده يتأخر عن الجهود ولا بده يقدم ولا يكون مقدم .. + +130 +00:09:54,990 --> 00:10:00,330 +انا مقدم؟ انا مقدم .. انا مقدم .. انا مقدم .. انا + +131 +00:10:00,330 --> 00:10:00,850 +مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا + +132 +00:10:00,850 --> 00:10:03,230 +مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا + +133 +00:10:03,230 --> 00:10:03,510 +مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا + +134 +00:10:03,510 --> 00:10:03,510 +مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا + +135 +00:10:03,510 --> 00:10:05,430 +مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا + +136 +00:10:05,430 --> 00:10:06,530 +مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا + +137 +00:10:06,530 --> 00:10:06,710 +مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا + +138 +00:10:06,710 --> 00:10:10,800 +مقدم ..بالتالي انا بدي افترض ما زال انا بدي احط + +139 +00:10:10,800 --> 00:10:16,300 +التيار عند حد معين بدي افترض ان التيار يجهد بينهم + +140 +00:10:16,300 --> 00:10:20,660 +زاوية فبقول لليتنج supposing the current passing + +141 +00:10:20,660 --> 00:10:24,400 +through each element which is the same due to + +142 +00:10:24,400 --> 00:10:27,520 +their series connection to be given as .. بقول ها + +143 +00:10:27,520 --> 00:10:32,980 +انت هتفرضيه انا اعتبرت التيار شباب بتأخر بزاوية + +144 +00:10:32,980 --> 00:10:37,400 +نقدرها Fiبتأخر هي افتراض طب جالي لو افتراض لو حطت + +145 +00:10:37,400 --> 00:10:40,620 +زايد بقوله ماتفرجش معاه حط زايد حط ناقص ماتفرجش + +146 +00:10:40,620 --> 00:10:43,180 +لأن ال Y هذه ممكن تطلع positive وممكن تطلع + +147 +00:10:43,180 --> 00:10:45,880 +negative لأن لو هذه negative بصير هذه positive + +148 +00:10:45,880 --> 00:10:51,210 +يعني ان انت هنا بالفرضية هذه بتقول Iلا بيكون in + +149 +00:10:51,210 --> 00:10:55,590 +phase مع جوجز إذا كانت Phi بالساوية سفر لا بيكون I + +150 +00:10:55,590 --> 00:11:00,810 +leads إذا كانت Phi سالبة أو I lags إذا كانت Phi + +151 +00:11:00,810 --> 00:11:05,190 +موجبة وبالتالي انت بالفرضية هذه بتحط كل احتمالات + +152 +00:11:05,190 --> 00:11:09,050 +اللي عندك بس المهم Phi جدش تطلع قعدنا نشوف كيف + +153 +00:11:09,050 --> 00:11:13,790 +تطلعWhere the constant phi is called the phase + +154 +00:11:13,790 --> 00:11:16,250 +angle between the current and the applied voltage + +155 +00:11:16,250 --> 00:11:22,290 +خليني أرسم شباب كيف بدي أرسم طبعا الآن المعلومة + +156 +00:11:22,290 --> 00:11:28,570 +اللي عندي بتقول الجهد والتيار في R in phase الجهد + +157 +00:11:28,570 --> 00:11:34,890 +والتيار في R in phase هذه I هذه زيها بدها تكون in + +158 +00:11:34,890 --> 00:11:43,870 +phaseVL دائما بتقدم لإن ال I بتأخر في ال A و هنا + +159 +00:11:43,870 --> 00:11:48,470 +VC تمام هجيتله العواقف المعادلة هديك بتحط و بتشتغل + +160 +00:11:48,470 --> 00:11:53,630 +Analytical بدي أنا أرسم الآن رسم هاي رسمتي إيه + +161 +00:11:53,630 --> 00:12:00,670 +بيقولي بيقولي حط I عدى برسمها أنا هاي I I أنا إيش + +162 +00:12:00,670 --> 00:12:05,690 +فرقته الشباب بتساوي I maximum sine Omega T نقص Phi + +163 +00:12:08,290 --> 00:12:12,370 +وميجا دي بتقول ان فاي تبعات الجهد بهذه المعادلة + +164 +00:12:12,370 --> 00:12:16,650 +بيقول اي بتتأخر عن الجهد بفاي اذا المفروض الفاي + +165 +00:12:16,650 --> 00:12:21,630 +وان الجهد هدا هو هاي الجهد هادي اي maximum هادي + +166 +00:12:21,630 --> 00:12:27,090 +زاوية فاي هيك الرقم بتقول انا عادي فرضي هادي لو + +167 +00:12:27,090 --> 00:12:31,620 +حطت زائد بتحط دي maximum هنا صح ولا لأطب تفرجيش + +168 +00:12:31,620 --> 00:12:36,660 +طبعا جالي هاي ال V maximum طيب جالي الآن كيف VR و + +169 +00:12:36,660 --> 00:12:41,980 +كيف VC VR و الطيار in phase اذا بتتوقع VR وين تكون + +170 +00:12:41,980 --> 00:12:50,000 +شكلها هايها هاي VR لأنها مع الطيار بيقولي VL انا + +171 +00:12:50,000 --> 00:12:55,340 +بعرف ان الطيار بتأخر عن ال VL 90 درجة اذا هاي VL + +172 +00:12:57,210 --> 00:13:01,130 +لأن الطيارة في الـVL بتأخر عن جودة الـVL بكسر 2 + +173 +00:13:01,130 --> 00:13:07,850 +درجة في الـC الأكسر فالـVC قال لي خلاص لكنك رسمت + +174 +00:13:07,850 --> 00:13:11,610 +صار عندك ثلاثة vectors و بدك تجمعهم بقول عشان أجمع + +175 +00:13:11,610 --> 00:13:16,470 +هدول بيجمعوا بيصير vector واحد VL نقص VC مظبوط ولا + +176 +00:13:16,470 --> 00:13:21,230 +لأ؟ مع حادة تاخد جزء تربيع الـFIFA course و بتشغل + +177 +00:13:21,230 --> 00:13:24,310 +عليها إذن صارت القضية كالتالية + +178 +00:13:27,010 --> 00:13:33,230 +ما زال انت فرض فرضيتك high I maximum و high V + +179 +00:13:33,230 --> 00:13:34,630 +maximum + +180 +00:13:37,490 --> 00:13:42,990 +هذا الفرضية تبعتك بقولك انت فرضيتك التيار بيتأخر + +181 +00:13:42,990 --> 00:13:47,690 +عن وجود بزاوية مقدار الطي ليش بتأخر لو حطت سالب و + +182 +00:13:47,690 --> 00:13:50,810 +لو بقولنا ممكن احط موجب اه ممكن احط موجب ساعتها + +183 +00:13:50,810 --> 00:13:56,110 +هذا بيكون هنا مش اكتر بس يكن رسمة نتبع الكتاب تمام + +184 +00:13:56,110 --> 00:14:01,810 +بقول الان VR بيكون هيكبتفقين؟ لأنه المعلومة اللي + +185 +00:14:01,810 --> 00:14:06,730 +عندي ان VR و I are in phase، بيكونوا مع بعض، VL + +186 +00:14:06,730 --> 00:14:13,010 +بدي يتقدم ب90 درجة، هي 90 درجة، VC بدي يتأخر ب90 + +187 +00:14:13,010 --> 00:14:20,180 +درجة، هي تأخر ب90 درجةذى الكلية هي المجموع تبع + +188 +00:14:20,180 --> 00:14:25,640 +التلاتة بس الآن المجموع تبع هذا و هذا و هذا ما هوش + +189 +00:14:25,640 --> 00:14:29,240 +عشرة زى ما توقعت بيته يعني لو كانت هذه زى ما قولت + +190 +00:14:29,240 --> 00:14:34,090 +اتنين وهذه تلاتة وهذه خمسة بتطلع عشرةلأن لو كانت + +191 +00:14:34,090 --> 00:14:37,890 +هذه اتنين وهذه ثلاثة وهذه خمسة وهذه ثلاثة اتنين + +192 +00:14:37,890 --> 00:14:39,270 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +193 +00:14:39,270 --> 00:14:40,410 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +194 +00:14:40,410 --> 00:14:50,450 +اتنين اتنين اتنين + +195 +00:14:51,080 --> 00:14:56,160 +بتصير عبارة عن اتنين و اتنين و يعيش بينهم زي قائمة + +196 +00:14:56,160 --> 00:14:59,840 +فصار هيك اتنين و هيك اتنين و بيصير عبارة عن اتنين + +197 +00:14:59,840 --> 00:15:04,540 +جزير اتنين اذا بطل عشرة تمام؟ اذا دايما عملية + +198 +00:15:04,540 --> 00:15:08,820 +الجمع زي ال vectors بتكون الجمع عالي تمام؟ كيف + +199 +00:15:08,820 --> 00:15:13,820 +تجمعها؟ كل هدول كيف شملهم انت بلقوا واحد و اعملهم + +200 +00:15:13,820 --> 00:15:19,420 +بلقوا واحدجهادة حافظ عليه VR هذا صار VL نقص VC + +201 +00:15:19,420 --> 00:15:23,320 +وصار هيك هذا V maximum هذا بيقدر تطلعه بقول اه هذا + +202 +00:15:23,320 --> 00:15:27,500 +في ثغورس مقدر اطبقه ولا لأ في ثغورس بقول اذا from + +203 +00:15:27,500 --> 00:15:35,470 +the diagram we conclude thatبتساوي VR تربية زائد + +204 +00:15:35,470 --> 00:15:41,770 +VL نقص VC تربية زى ما بتشوفين VN بتسويش VR زائد VL + +205 +00:15:41,770 --> 00:15:45,510 +زائد VC مع أن هم متواصلين على التيالي لكن ماسواش + +206 +00:15:45,510 --> 00:15:51,610 +الجمع العادىوتاني الزاوية اللى انا بدى ياها شباب + +207 +00:15:51,610 --> 00:15:55,790 +تاني الزاوية عشان اقعد في الطيار يتقدم ولا يتأخر + +208 +00:15:55,790 --> 00:16:01,070 +وجد ايش بيساوي مقابل عمو جاوز المقابل VL نقص VC + +209 +00:16:01,070 --> 00:16:10,030 +على VR تمام هيك انا بكون تقريبا حلت مشكلتي الان VM + +210 +00:16:10,030 --> 00:16:16,310 +هادي بيتعامل معاها جالي هاديمش هي أنا كتبتها لأ + +211 +00:16:16,310 --> 00:16:25,870 +كتبتها و هي راحت ال VR بتسوي I في R و هذه I في XL + +212 +00:16:25,870 --> 00:16:32,790 +و هذه I في XC I I I بتلع برا I ولا لأ بتصير V + +213 +00:16:32,790 --> 00:16:39,410 +maximum المفروض تطلع I الجزر التربيعي لR تربيعي + +214 +00:16:40,030 --> 00:16:51,730 +plus XL-XC لكل تربية هذه طبعا مكسيمة طلعت هيك قال + +215 +00:16:51,730 --> 00:16:58,050 +حلو هذه جهد وهذه أنبير هذه لازم تطلع أممظبوط او + +216 +00:16:58,050 --> 00:17:03,230 +لأ؟ هد يقوم طيب هي قوم يعني مقاومة كلية المقاومة + +217 +00:17:03,230 --> 00:17:06,150 +كلية في التوصيل على التوالي انا ماعرف انه R1 زي R2 + +218 +00:17:06,150 --> 00:17:13,630 +زي R3 طيب بدل R1 هي R R2 هي XL وR3 هي XC لكن لما + +219 +00:17:13,630 --> 00:17:18,450 +جيه جماعة توميش ماطلتش R زي XL زي XC طلع R تربيع + +220 +00:17:18,450 --> 00:17:22,890 +زي XL-XC تربيع ده الهد يسميها ال Zالـ impedance + +221 +00:17:22,890 --> 00:17:27,610 +تمام تسموها ال impedance وهذه نفس العملية خلّينا + +222 +00:17:27,610 --> 00:17:32,590 +using the relations اللي كتبتها ان VR بتساوي I + +223 +00:17:32,590 --> 00:17:40,880 +maximum في Rو VL بتسوي I maximum في XL و VC بتسوي + +224 +00:17:40,880 --> 00:17:44,620 +I maximum في XC هدول القوانين أهم عاديين بس دايما + +225 +00:17:44,620 --> 00:17:48,900 +تستبدل ال R بال XL و بال XC لما تكون عندك L أو C + +226 +00:17:48,900 --> 00:17:53,420 +فصارت عندي V maximum بتسوي I maximum من R تربيع زي + +227 +00:17:53,420 --> 00:17:57,340 +هذه الكمية أدوها الرمز Z طبعا واضح هو هدية ال Z + +228 +00:17:57,340 --> 00:18:02,530 +إيش بديكون؟أو لأن هذه O وهذه O وهذه O فهي O where + +229 +00:18:02,530 --> 00:18:06,790 +Z equal the square root of R square plus the + +230 +00:18:06,790 --> 00:18:12,390 +square of the difference between XL and XC تمام و + +231 +00:18:12,390 --> 00:18:16,070 +Z is called the impedance of the circuit with its + +232 +00:18:16,070 --> 00:18:21,810 +unit is O the phase angle is now given و التنفع + +233 +00:18:21,810 --> 00:18:28,450 +هتولى أقول إن هي عبارة عن VL أصلا نخس VC على VRهك + +234 +00:18:28,450 --> 00:18:34,650 +أصرها هدى عبارة عن I XL وهدى I وهدى I I راعت مع I + +235 +00:18:34,650 --> 00:18:40,750 +راعت مع I صفت على العلاقة هدى الان + +236 +00:18:40,750 --> 00:18:48,410 +XL أنا بعرف إن XL بتسوى Omega في L و XC بتسوى واحد + +237 +00:18:48,410 --> 00:18:53,870 +على Omega في C إذا ليه بيحدد الزوايا في هدى بيقول + +238 +00:18:53,870 --> 00:19:02,010 +قيم L وR وC قيمل و a و c طيب انا عندى تلاتة لو انا + +239 +00:19:02,010 --> 00:19:05,550 +بدي بس تكون r ارجع للمعادلة الاولى او الدائرة + +240 +00:19:05,550 --> 00:19:08,030 +الاولى ايش معناته لا في عندك capacitor و لا في + +241 +00:19:08,030 --> 00:19:11,590 +عندك inductor معناته هدى السفر و هدى السفر صح لما + +242 +00:19:11,590 --> 00:19:17,660 +تكون هدى السفر و هدى السفر is it بالساوي اهعادي + +243 +00:19:17,660 --> 00:19:23,260 +لأن مافيش لا L ولا Z زي مقامة + +244 +00:19:23,260 --> 00:19:26,640 +لأنها ممكن تسوي R هذه واحدة تراب وهذه واحدة تراب + +245 +00:19:26,640 --> 00:19:31,920 +فتقول لي لو كانت ال XL صفر وال XC صفر يعني لا L + +246 +00:19:31,920 --> 00:19:36,040 +موجودة ولا C موجودة ال Z هي R ارجعت لدائرتك الأولى + +247 +00:19:36,040 --> 00:19:40,640 +ففي دائرتك الأولى جديش كلمة Phiمش كانوا in phase + +248 +00:19:40,640 --> 00:19:45,000 +يعني قال دي في زاوية بينهم zero قال لو هذه ساوية + +249 +00:19:45,000 --> 00:19:48,480 +هذه مش بتصير صفر واش الزاوية اللي كانها صفر صفر + +250 +00:19:48,480 --> 00:19:55,580 +اذا five تطلع صفر صحطيب قال لي لو مافيش عندك لا R + +251 +00:19:55,580 --> 00:20:02,320 +ولا X ولا كاباسيتر لا R ولا كاباسيتر الصح ان + +252 +00:20:02,320 --> 00:20:05,760 +الفايت تطلع تسعين درجة مظبوط ولا لأ الفايت تطلع + +253 +00:20:05,760 --> 00:20:11,380 +تسعين قال لي هذه السفر صار تاني زاوية مال نهاية + +254 +00:20:11,380 --> 00:20:17,720 +ايش الزاوية اللي تانها مال نهاية تسعينهي 90 صح طيب + +255 +00:20:17,720 --> 00:20:23,700 +هذه صفر وهذه صفر هذه صفر وهذه صفر جاني ال Z XL + +256 +00:20:23,700 --> 00:20:28,840 +برضه صح ال Z ممكن تجي على ال XL وقت ايش لما يكون + +257 +00:20:28,840 --> 00:20:34,540 +لا في عندك R ولا في عندك capacityطيب ليه عندك R و + +258 +00:20:34,540 --> 00:20:38,420 +ليه عندك Inductor؟ مافيش عندك إلا capacitor تتوقع + +259 +00:20:38,420 --> 00:20:43,100 +زي دي إيش تساوي؟ XC هذي مش موجودة و هذي مش موجودة + +260 +00:20:43,100 --> 00:20:47,840 +زي دي هي XC، منطقي فبالزاوية بيقول يصير زائد بيع + +261 +00:20:47,840 --> 00:20:51,460 +اتنين، إذن الزاوية لازم تكون ثالث تسعين، هي ملا + +262 +00:20:51,460 --> 00:20:56,950 +نهايةتمام تسعين بس عشاس انه انا هذه مش موجودة + +263 +00:20:56,950 --> 00:21:00,930 +بالسالب سالب ملا نهاية اذا الزاوية سالب تسعين + +264 +00:21:00,930 --> 00:21:04,470 +وانتوا عارفين رسمة التان اذا كنتوا ذاكرينها في + +265 +00:21:04,470 --> 00:21:08,350 +رسمة الكلكولات موجودة asymptotes دايما عليها عند + +266 +00:21:08,350 --> 00:21:11,410 +كل تسعين درجة في asymptotes عند التسعين دايما + +267 +00:21:11,410 --> 00:21:17,450 +بتكون ملا نهاية لانوصين والكوسين تمامfrom the last + +268 +00:21:17,450 --> 00:21:19,890 +two equations we conclude that الكلام اللي انا + +269 +00:21:19,890 --> 00:21:23,950 +حكيته بقولي اول حاجة if the circuit consists only + +270 +00:21:23,950 --> 00:21:28,470 +of a resistor بس فيه resistor ذهبتنا الأولى with + +271 +00:21:28,470 --> 00:21:32,590 +the source يعني لا XL موجودة ولا XC موجودة we have + +272 +00:21:32,590 --> 00:21:37,930 +Z بتساوي R امين منطقي لازم Z بتساوي Rand the phase + +273 +00:21:37,930 --> 00:21:47,050 +angle is zero that is I and V are in phase بيقول + +274 +00:21:47,050 --> 00:21:50,810 +if the circuit consists only of an inductor بس + +275 +00:21:50,810 --> 00:21:54,950 +inductor إذا أن I لازم تكون lags لازم تتأخر 90 + +276 +00:21:54,950 --> 00:22:01,040 +درجةبقولي اول حاجة R O X C صفر اذا A Z بتساوي X L + +277 +00:22:01,040 --> 00:22:05,080 +and the phase angle is 90 degree لما في هذه الحالة + +278 +00:22:05,080 --> 00:22:08,440 +تاني الزاوية equal infinity and this mean that the + +279 +00:22:08,440 --> 00:22:15,380 +angle is Pi over 2 that is I lags behind V by 90 + +280 +00:22:15,380 --> 00:22:20,340 +degreeإذا كان السيركيت موجود فقط من مصدر كباسيطار + +281 +00:22:20,340 --> 00:22:25,740 +مع المصدر يعني لا R موجودة و لا XL موجودة نحن + +282 +00:22:25,740 --> 00:22:30,980 +لدينا Z بتساوي XC و الانجل الفيز هو نقل من 90 درجة + +283 +00:22:30,980 --> 00:22:35,950 +يعني I تدفع V من 90 درجةقال الان التلاتة موجودين + +284 +00:22:35,950 --> 00:22:40,510 +طيب ايش بدي يسوي الطيارة؟ بدي يكون مع ولا lags ولا + +285 +00:22:40,510 --> 00:22:45,170 +reads؟ قاللي مع صعب لأنه ممكنش مع انا لا موجود، لا + +286 +00:22:45,170 --> 00:22:48,370 +X الموجود ولا X موجود، فأولا هذه ال three موجودين، + +287 +00:22:48,370 --> 00:22:51,830 +إذا ممنوع يكون in طيب قولي طيب lags ولا reads؟ + +288 +00:22:51,830 --> 00:23:01,280 +بقول ال leadsصفة الـC والـLegs صفة الـL بقول إذا + +289 +00:23:01,280 --> 00:23:07,580 +الـC أكبر المفروض هي اللي تفرض صفاتها إذا الـC هي + +290 +00:23:07,580 --> 00:23:12,600 +أكبر المفروض تفرض صفاتها إيه صفتها؟ ان الـI leads + +291 +00:23:12,600 --> 00:23:19,870 +بس في حد شركة بيفرض كل شروطه؟ لاكل مكان مصيبه اكتر + +292 +00:23:19,870 --> 00:23:26,410 +في الشركة بفرض شروط اكتر هجيه شي شركة اذا ال XC + +293 +00:23:26,410 --> 00:23:32,670 +اكبر من ال XL الشرط الاول انه I لازم leads تلفض + +294 +00:23:32,670 --> 00:23:36,170 +الشرط التاني 90 درجة بيروح ال XL بيقول لأ انا + +295 +00:23:36,170 --> 00:23:40,030 +اتنقل حصة بالضبط 90 درجة بيصير ممكن 40 درجة ممكن + +296 +00:23:40,030 --> 00:23:45,470 +30 درجة بحسب قداش حصته في ايش معناتها؟بقول in + +297 +00:23:45,470 --> 00:23:51,090 +general تلاتة موجودين if xL أكبر من xC شروط منها + +298 +00:23:51,090 --> 00:23:57,650 +تنفرج ال L شروط ال L انه I lags the phase angle is + +299 +00:23:57,650 --> 00:24:05,320 +positive and I lags behind V 90 درجةلأ بزاوية فاي + +300 +00:24:05,320 --> 00:24:10,040 +مين بيديه يحصل بها في قيم xl و قيم xc و قيم r in + +301 +00:24:10,040 --> 00:24:13,820 +the other hand if xl هي الجميلة و xc البعيدة + +302 +00:24:13,820 --> 00:24:18,140 +الكبيرة the phase angle is negative and I leads V + +303 +00:24:18,140 --> 00:24:24,720 +بس الصفة ال C هي السائدة وبالتالي بيكون ال I leads + +304 +00:24:24,720 --> 00:24:32,420 +لكن بزاوية مش 90 درجة طيببقولي شغلتارتا بقولي انت + +305 +00:24:32,420 --> 00:24:39,640 +قولتلي تو لو ما يكون ال xc و ال xl مش موجودين احنا + +306 +00:24:39,640 --> 00:24:49,020 +قولنا z بتساوي r تغير بيئة plus xl نقص xc square + +307 +00:24:50,130 --> 00:24:52,670 +هجت لا هادي موجودة ولا هادي موجودة لان ليس زي ذات + +308 +00:24:52,670 --> 00:24:56,950 +او ار طب ماكنش زي ذات برضه بيسوي ار لما هادي و + +309 +00:24:56,950 --> 00:25:00,630 +هادي تساوي بعض ولا لأ اذا بيطلع ا بيقول لو هادي + +310 +00:25:00,630 --> 00:25:05,970 +سوى هادي احنا قولنا لو واحدة تغلب التانية اميخلاص + +311 +00:25:05,970 --> 00:25:09,390 +واحدة بتفرض شروطها فبتنين تساوى بقولوا واحدة بتفرض + +312 +00:25:09,390 --> 00:25:12,250 +شروطها مين ساعتها البني فرد اللي قاعد أقولك أنا + +313 +00:25:12,250 --> 00:25:15,730 +معاناك وانت قاعد انت حرين انا بصير وانا بفرد شروطي + +314 +00:25:15,730 --> 00:25:21,730 +بصيروا in phase في هذه الحالة بنتان الفاية بتساوي + +315 +00:25:21,730 --> 00:25:24,190 +XL-XC + +316 +00:25:25,680 --> 00:25:28,040 +إذا التنين صفر، حاجة ما هو هي أنا حرة، مافيش + +317 +00:25:28,040 --> 00:25:31,860 +غيرها، هدول موجودين لكن بيصاروا بعيد، برضه الـR + +318 +00:25:31,860 --> 00:25:36,240 +صارت تانية زائرة صفر وصاروا in phase، إذن أنا + +319 +00:25:36,240 --> 00:25:41,180 +حالتين R بتفرض شروطها، إما لما يكون التنين غايبين + +320 +00:25:41,180 --> 00:25:45,380 +أو التنين موجودين وبيناطحوا بعيد، جات بعيد، بتنفرض + +321 +00:25:45,380 --> 00:25:51,500 +بشروطهابقولي وين XL بتسوي XC؟ The phase angle is + +322 +00:25:51,500 --> 00:25:55,460 +again zero in this case and the impedance equals + +323 +00:25:55,460 --> 00:25:59,140 +the resistance R and the current has its peak + +324 +00:25:59,140 --> 00:26:03,420 +value بيقولي أنت تقوى حقا I maximum بتسوي V + +325 +00:26:03,420 --> 00:26:11,160 +maximum على Z هذي Z هيها هذي بتزيد دمها يتجلهذه + +326 +00:26:11,160 --> 00:26:14,860 +أقل قيمة لها R لأنه ذائد هذين لما يروحوا يصير هذه + +327 +00:26:14,860 --> 00:26:19,240 +قليلة معناته عندما XL بيساوي XC هذه بتكون أكبر + +328 +00:26:19,240 --> 00:26:24,600 +قيمة لها بيكس value بيقول when XL بيساوي XC then + +329 +00:26:24,600 --> 00:26:28,360 +the phase angle Phi equal to zero in this case the + +330 +00:26:28,360 --> 00:26:31,380 +impedance equals the resistance and the current + +331 +00:26:31,380 --> 00:26:36,740 +has its peak value given byعلى R على زد اللي ساوية + +332 +00:26:36,740 --> 00:26:41,780 +R V maximum على R بقول عند هذه النقطة بقول الدائرة + +333 +00:26:41,780 --> 00:26:46,680 +صار فيها resonance رانين اذا الرانين بيحصل وقت ايش + +334 +00:26:46,680 --> 00:26:52,500 +لما XL تساوي XC بتكون التياث صار peak احنا هناخده + +335 +00:26:52,500 --> 00:26:58,010 +المرة الجايةالفرقنسية اللي بتدعى رمزه بالرمز Omega + +336 +00:26:58,010 --> 00:27:02,490 +Note at which this occurs is called the resonance + +337 +00:27:02,490 --> 00:27:09,310 +يعني بيقول لي لما XL تسوى XC XL تسوى XC صار في + +338 +00:27:09,310 --> 00:27:14,290 +عندك طيار وصل قيمته لغمة أو Z بتسوى A قاللي مش هذه + +339 +00:27:14,290 --> 00:27:18,630 +Omega L و هذه 1 على Omega Cبتقدر يجيبلي omega + +340 +00:27:18,630 --> 00:27:23,210 +بقوله بقدر اجيبها اذا وقتيش oxa بتساوي xc لما + +341 +00:27:23,210 --> 00:27:26,970 +omega تساوي هنا omega not بساوية على الجزر + +342 +00:27:26,970 --> 00:27:32,930 +التربيهي على Lc اذا لما omega بتساوي الجزر + +343 +00:27:32,930 --> 00:27:36,670 +التربيهي على Lc بقول هنا صرفي عندي resonance omega + +344 +00:27:36,670 --> 00:27:39,930 +not عملتها فهذه هي omega not هذه هو ال frequency + +345 +00:27:39,930 --> 00:27:43,550 +تبع ال resonance زي ما المرة دي انا حكيتلكم انا + +346 +00:27:43,550 --> 00:27:47,770 +كيف بدي اغير عليه طبعا في اي دائرة استقبالإذا + +347 +00:27:47,770 --> 00:27:54,770 +دائرة الكهربائية ساوة دائرة جاية من برا بصي في + +348 +00:27:54,770 --> 00:27:58,390 +عندك peak وبالتالي الـpeak ده بترصده بيكون مصمم + +349 +00:27:58,390 --> 00:28:01,610 +انك ترصد انت قيمة معينة بيكون عندك peak وبتدخل + +350 +00:28:01,610 --> 00:28:05,270 +الموجة جوا دائرة الكهربائية بتستقبلها وبتحولها + +351 +00:28:05,270 --> 00:28:11,990 +عشان في الأجهزة يستقبلوا اكتر من موجة بيكون لازمهم + +352 +00:28:11,990 --> 00:28:16,510 +هاجي تكون متغيرةفي الراديو الشغلة السهلة اللى + +353 +00:28:16,510 --> 00:28:19,870 +انتوا دايما تعرفوها لما تغير من موجة لموجة هذه + +354 +00:28:19,870 --> 00:28:24,010 +بتتغير شباب ال C بتتغير لما تغير من موجة لموجة + +355 +00:28:24,010 --> 00:28:28,610 +بيغيروا ال C بيقول لما تغير ال C بيصير ال radio + +356 +00:28:28,610 --> 00:28:33,490 +تبعك ال frequency ال resonance frequency بتغير انت + +357 +00:28:33,490 --> 00:28:39,640 +بدك موجةال BBC بتجيبها، بتدلك تغيّر لما تصير Omega + +358 +00:28:39,640 --> 00:28:45,560 +Nord تبعات الراديو بيصير Matching لتبعات ال BBC + +359 +00:28:45,560 --> 00:28:49,720 +بتجيبك عشان كده بيكونوا حاطين ع الشريط أكم ميجا + +360 +00:28:49,720 --> 00:28:54,880 +هيرز و أكم كيلو هيرز و الشغلات هذه، هجيب ده تبعد + +361 +00:28:54,880 --> 00:28:59,850 +تبعتكتمام؟ وانت بيقوله انه انا برضه بفعل هذه + +362 +00:28:59,850 --> 00:29:04,310 +الموجة انتش بتساوي لما تغيّر من محطة لمحطة بتخلي + +363 +00:29:04,310 --> 00:29:10,070 +رانين دائرة الراديو تبعتك بتساوي رانين او تودد + +364 +00:29:10,070 --> 00:29:14,090 +الموجة اللي بدك تستقبلها اول ما يصير matching بتخش + +365 +00:29:14,090 --> 00:29:17,910 +الموجة و بتستقبلها و بتحولها لصوت و بتعملها لأن + +366 +00:29:17,910 --> 00:29:21,270 +الصوت بيكون محمل ب electromagnetic waves و بنتعامل + +367 +00:29:21,270 --> 00:29:27,860 +معها على هذا الأساسالـ C .. لأ .. اه .. انت الـ C + +368 +00:29:27,860 --> 00:29:31,940 +.. انا كنت مفروض اني جيبت أسمة خلينا انا بحكي عن + +369 +00:29:31,940 --> 00:29:34,740 +الراديو القديم هلجيته؟ وبعدين الناس العملية بتعرف + +370 +00:29:34,740 --> 00:29:37,860 +الفكرة اشهر الفكرة تبعات الراديو القديم بيقول انت + +371 +00:29:37,860 --> 00:29:41,920 +كبسطر هذا هو، مظبوط؟ بليت ديوة بليت، لو عملته هيك، + +372 +00:29:41,920 --> 00:29:45,440 +جال ولا زاد؟ جال، ساعة الاريو تبقى الاريو جالت + +373 +00:29:45,440 --> 00:29:49,700 +فإيش الفكرة؟ انت بتعمل هيك، بيهدوا و بتوديهم هيك + +374 +00:29:49,700 --> 00:29:55,600 +هيك، تمام؟ فانت لما تعمل هيك بس كبسطر سفرفانت + +375 +00:29:55,600 --> 00:30:03,140 +بالظبط هي رسمتهم شباب بيعملوا الواح لو انتوا + +376 +00:30:03,140 --> 00:30:09,640 +تفتحوا راديو بيعملوا نص ديسك هي نص ديسك بالظبط + +377 +00:30:09,640 --> 00:30:14,740 +مجمعين بالبرغ اللي بتلف فيه وفي نص ديسكات مش نص + +378 +00:30:14,740 --> 00:30:17,440 +ديسك بقى نص ديسك ونص نص ديسك وها وها كده يعني لو + +379 +00:30:17,440 --> 00:30:21,380 +اجيب انا ورقة وورقة وورقة وورقةبس عبارة عن كل ورقة + +380 +00:30:21,380 --> 00:30:26,380 +عبارة عن نص ديسك هذه بتروح و بتيجي بالملف بيكون + +381 +00:30:26,380 --> 00:30:31,580 +بتروح و تيجي تخش في نص ديسكات تانية يعني ديسك هيك + +382 +00:30:31,580 --> 00:30:34,960 +بيخش و بيروح تمام؟ بيروح هيك و بيجي هيك هذه بتكون + +383 +00:30:34,960 --> 00:30:38,540 +نص ديسك و نص ديسك فلما أنا أشتغل عليها بتكون ال C + +384 +00:30:38,540 --> 00:30:43,060 +بتتغير فتغييرك ل ال tuning's اللي مكتوب عليها + +385 +00:30:43,060 --> 00:30:47,590 +tuning هذه بيغير ال capacitorبتغير الكبسطور جوا + +386 +00:30:47,590 --> 00:30:51,350 +الدائرة فلما سيتي تغير تغيرت omega note ب FAB2L + +387 +00:30:51,350 --> 00:30:55,010 +تمام و بعد اذا تغيرت omega note انت غيرت من موجة + +388 +00:30:55,010 --> 00:30:58,650 +لموجة و بتقدر تستقبل هذا الشغلات + +389 +00:31:04,150 --> 00:31:09,170 +نشوف ال examples هذه examples سهلة مثاليا و بعدين + +390 +00:31:09,170 --> 00:31:16,050 +نحكي عن الامتحان نقول in a series RLC circuit طبعا + +391 +00:31:16,050 --> 00:31:21,050 +انتوا عارفين الامتحان النهائي شامل كل الشباتر و + +392 +00:31:21,050 --> 00:31:25,730 +بما انهالشباتل التلاتة الأولى أخدت ال first من ال + +393 +00:31:25,730 --> 00:31:29,070 +term والشباتل الخامسة التالية أخدت ال second من ال + +394 +00:31:29,070 --> 00:31:31,410 +term فكل واحد له حصة بعشان عشان عشان عشان عشان + +395 +00:31:31,410 --> 00:31:32,010 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +396 +00:31:32,010 --> 00:31:34,590 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +397 +00:31:34,590 --> 00:31:40,010 +عشان عشان عشان عشان عشان عشان عشان عشانبس عشان + +398 +00:31:40,010 --> 00:31:44,690 +يصير عادل بين الشباتر لازم ال final يكون الشباتر + +399 +00:31:44,690 --> 00:31:48,110 +الأخير وزرهم أكتر من الأولين عشان ولا شرط ليه يزعل + +400 +00:31:48,110 --> 00:31:52,710 +طبعا اما من الأول لأخر الشباتر عشان كده احنا بنركز + +401 +00:31:52,710 --> 00:31:55,830 +وانا دايما بنصح الطلاب لما يقراوا ال final يبدو من + +402 +00:31:55,830 --> 00:31:58,420 +الأخر مش من الأوللأن المادة الأخيرة لن تكون + +403 +00:31:58,420 --> 00:32:03,140 +مانقرأتش مرة وبالتالي يبدأ ويضمنها وبعدين يعمل + +404 +00:32:03,140 --> 00:32:06,000 +scanning على الأولى لأن هي الأولى تحتاج scanning + +405 +00:32:06,000 --> 00:32:10,920 +مراجعة بمعنى أخر مش دراسة من ال zero بطريقة اللي + +406 +00:32:10,920 --> 00:32:13,640 +انت بدكيها تشوف ايش الخبر بيقول او ايش المثال + +407 +00:32:13,640 --> 00:32:17,960 +بيقول in a series RLC circuit طبعا في الأسئلة اللي + +408 +00:32:17,960 --> 00:32:21,420 +بنجيبها هي سؤال final بعدين بجيب سؤال R لحاله سؤال + +409 +00:32:21,420 --> 00:32:24,990 +L لحاله سؤال C لحاله وبجيب هذاما هذا مش بالهم كلهم + +410 +00:32:24,990 --> 00:32:31,090 +ولا لأ؟ ادهوا فبقوللي هاي series RAC circuit we + +411 +00:32:31,090 --> 00:32:35,790 +had V maximum بيسوي one hundred and twenty volt R + +412 +00:32:35,790 --> 00:32:40,090 +ماتينيها two hundred ohm C equal four micro farad + +413 +00:32:40,090 --> 00:32:43,930 +L مش ماتيها عندك هتشوف طالبها ماتينيه ل frequency + +414 +00:32:43,930 --> 00:32:49,610 +Omega Omega تمام عشان بدي أجيب XL و XC بدي Omega + +415 +00:32:49,610 --> 00:32:54,280 +يا شباب مظبوط ولا لا؟ لإن هاي XLأوميجا L أو أوميجا + +416 +00:32:54,280 --> 00:32:56,880 +C مظبوطون لأ فأوميجا بتلزم طبعا هم يدّيك ال + +417 +00:32:56,880 --> 00:33:00,000 +frequency عشان تقول أوميجا بساوة 2 by F مش خضيه + +418 +00:33:00,000 --> 00:33:07,080 +هذي تقولي find L بدّو find L طب L كيف أجيبها؟ أنا + +419 +00:33:07,080 --> 00:33:14,810 +عشان أجيبها بدّي XL فأنا لأ لأن لو عرفت XLهو اذا + +420 +00:33:14,810 --> 00:33:18,250 +انا ماكنت أعرف فهو ممكن اجيب L كيف بدي اجيب XL؟ ده + +421 +00:33:18,250 --> 00:33:22,970 +اللي يجب اجيب XL إذا عرفت Z صح ولا لأ؟ او إذا عرفت + +422 +00:33:22,970 --> 00:33:25,310 +شغلات تانية؟ بقولي طبعا شو اللي يجب أن اكتبه؟ such + +423 +00:33:25,310 --> 00:33:30,510 +that the voltage across the capacitor lags behind + +424 +00:33:30,510 --> 00:33:35,130 +the applied voltage by 30 degreesبيقول بحيث انه + +425 +00:33:35,130 --> 00:33:41,730 +كان عنده الجهد على الكباسيتر بيتأخر عن الجهد الكل + +426 +00:33:41,730 --> 00:33:47,150 +ال 30 درجة لما تيجي تتعامل معاها شباب ال face + +427 +00:33:47,150 --> 00:33:49,590 +diagram مش ميتعامل معاه بدي انا عندي face diagram + +428 +00:33:49,590 --> 00:33:55,010 +بدي احفظهانه الطيار على ال X-axis اذا V تبعت ال R + +429 +00:33:55,010 --> 00:34:00,790 +وين؟ على ال X-axis انفزه الطيار بنثبته على ال X + +430 +00:34:00,790 --> 00:34:04,890 +-axis اذا الجهود تبع R على ال X-axis تبع L على ال + +431 +00:34:04,890 --> 00:34:09,090 +Y-axis لفوق تبع ال C على ال Y-axis لتحت هو جالي + +432 +00:34:09,090 --> 00:34:14,430 +هادي ومتغيروش المشكلة في ال .. هادي ال VR وهادي ال + +433 +00:34:14,430 --> 00:34:20,140 +VL وهادي ال VC ايش بقولي الآن؟ هاديأيه بتتأخر عن + +434 +00:34:20,140 --> 00:34:26,000 +الكلية بتبتين درجة زي كلية ما بتكون طب انا بدي في + +435 +00:34:26,000 --> 00:34:31,920 +في بين من ومين في بين I و V بين I و V إذا هي في + +436 +00:34:31,920 --> 00:34:34,840 +بتقدر تجيب في هلجيته ولا لا ما الستين بس بالسلف + +437 +00:34:34,840 --> 00:34:39,040 +عشان المربع الأخير مظبوط ولا لا او بقدر أقول هي زي + +438 +00:34:39,040 --> 00:34:45,620 +هذا هي تلات ميةممكن اعمل طبعا كل واحد طبعا خلها + +439 +00:34:45,620 --> 00:34:49,140 +اذا انا اذا عرفت في انا حلت كل المشكلة ليش لان + +440 +00:34:49,140 --> 00:34:55,240 +تاني الفي بتسوي XL-XC على R XC عرفها وR عرفها يبت + +441 +00:34:55,240 --> 00:35:01,540 +XL بدور عليها طبعا اذا بيقولليبقولوا الآن since + +442 +00:35:01,540 --> 00:35:05,420 +the angle phi is between the applied voltage and + +443 +00:35:05,420 --> 00:35:09,520 +the voltage across R يعني ع الطيار and since the + +444 +00:35:09,520 --> 00:35:13,980 +angle between Vr and Vc is تسعين هذه تسعين وهذه + +445 +00:35:13,980 --> 00:35:18,500 +تلاتين اذا هذه phi بتساوي ستين بالثانية بتساوي في + +446 +00:35:18,500 --> 00:35:24,440 +طلعناهاجالي اذا طلعت في ناو جيب xc و اجهزها xc + +447 +00:35:24,440 --> 00:35:27,180 +بتعرفها ما انت هي واحد على امجا سي و امجا اتنين + +448 +00:35:27,180 --> 00:35:30,820 +باي في ال frequency طلعتها هجي تجيب علاقة التاني + +449 +00:35:30,820 --> 00:35:35,960 +الفي تاني الفي بيسوي xl نقص xc على r هجي التاني + +450 +00:35:35,960 --> 00:35:40,440 +الفي التاني السالي بستين طلعتها تمام؟ xl بعرفهاش، + +451 +00:35:40,440 --> 00:35:44,760 +xc توي جاهزة و هيها و ال r معطية بقدر اجيب xl ولا + +452 +00:35:44,760 --> 00:35:51,560 +لأ؟ لما اجيب xlساعتها X المهيومد L إذا جيبت L وده + +453 +00:35:51,560 --> 00:35:55,120 +هو سؤال سهل إذا هذا سؤال بعتمد على ال phase + +454 +00:35:55,120 --> 00:35:58,800 +diagram انك ترسم ال phase diagram و تشتغل عليه كيف + +455 +00:35:58,800 --> 00:36:01,380 +ال phase diagram بتدور فيه بدل ما يقولك الزاوية + +456 +00:36:01,380 --> 00:36:08,700 +فيه يقولك X VC بتتأخر عن الجهد كله ب 30 درجة بدل + +457 +00:36:08,700 --> 00:36:11,400 +ما يقولك جديش الزاوية فيه ويقولك انت لحالك طلع + +458 +00:36:11,400 --> 00:36:16,960 +الزاوية فيهالمثال الوراق التقليدي نقول in a series + +459 +00:36:16,960 --> 00:36:23,080 +RLC circuit ال V maximum 150 volt طبعا شباب هذه + +460 +00:36:23,080 --> 00:36:26,780 +المعطية مرات ما نكتبهاش هذا احنا بندي دائرة + +461 +00:36:26,780 --> 00:36:28,420 +الدائرة هي كانت مرسومة في الامتحان + +462 +00:36:33,190 --> 00:36:37,590 +طبعا هنا ايش بيقول ليه؟ R جديش؟ R 425 Ohm مافيش + +463 +00:36:37,590 --> 00:36:45,410 +مشكلة C 3.5 مايكروفراد مافيش مشكلة هذه 1.25 هن + +464 +00:36:45,410 --> 00:36:49,170 +اللي مافيش مشكلة ال V maximum بيجيها هيك بقول V + +465 +00:36:49,170 --> 00:36:56,670 +بيساوي 150 Sine Omega T هل جيت في فاصمة زي هذه في + +466 +00:36:56,670 --> 00:37:01,600 +حالة برفاصة بيقول جديش R؟لما كل معطيات هي كل + +467 +00:37:01,600 --> 00:37:05,300 +معطيات في حد بالفاصلة يقول قداش R تمام يعني لما + +468 +00:37:05,300 --> 00:37:10,740 +يقولك هنا في المثال for the circuit shown و بس هجد + +469 +00:37:10,740 --> 00:37:16,040 +C قداش مش معطية و هنا المعطية V maximum قداش + +470 +00:37:16,040 --> 00:37:19,520 +بتاخدها منها مش واحد يقولك وين V maximum هي V + +471 +00:37:19,520 --> 00:37:23,800 +maximum فبعضها تكمل عملها في الامتحانات تمام إيش + +472 +00:37:23,800 --> 00:37:27,490 +بده؟طبعا الـ Omega ملطقة طبعا حتى Omega هذه ممكن + +473 +00:37:27,490 --> 00:37:34,150 +انا محطهاش هناك احط هنا 377 T و خلاص وبالتالي كل + +474 +00:37:34,150 --> 00:37:37,470 +مواطنة السؤال الآن في الرسمة موجودة ايش بده + +475 +00:37:37,470 --> 00:37:43,630 +Determine Zعشان تجيبها بدك XL و XC اللي يجب ان + +476 +00:37:43,630 --> 00:37:46,850 +تعرف ان XL بيسوي أمجا في L و XC بيسوي واحد على + +477 +00:37:46,850 --> 00:37:53,430 +أمجا C عشان فيما لو خربطه في القوانين ان L برج على + +478 +00:37:53,430 --> 00:37:58,010 +سلك في ال DC circuit اذا معناته سلك دي مش مقاومته + +479 +00:37:58,780 --> 00:38:02,560 +زيرو عشان كده بيكون omega في ال .. عشان يطلع سفر + +480 +00:38:02,560 --> 00:38:06,460 +ال capacitor اتذكر في ال DC circuit بيصير open + +481 +00:38:06,460 --> 00:38:10,000 +circuit يعني مقاومته ملا نهاية إذا لازم omega تكون + +482 +00:38:10,000 --> 00:38:12,620 +في المقاب لإن مرات الطالب بيخربط في المقام و في ال + +483 +00:38:12,620 --> 00:38:15,640 +bus يقول هادي بهادي فربطها بهذه الشغلة عشان + +484 +00:38:15,640 --> 00:38:20,410 +ماتنسهاشFind the maximum current in the circuit ال + +485 +00:38:20,410 --> 00:38:23,690 +maximum current يا شباب معظم سهل او V maximum بس + +486 +00:38:23,690 --> 00:38:30,370 +علش على Z على Z الكاملة تمام و بعدين بده ال phase + +487 +00:38:30,370 --> 00:38:34,440 +angle Phi هيهابعدين find the maximum voltage + +488 +00:38:34,440 --> 00:38:37,820 +across each element لما نقول each element ساعتها + +489 +00:38:37,820 --> 00:38:41,640 +ال V بيساوي I maximum في R ال V تبعت L بيساوي XL + +490 +00:38:41,640 --> 00:38:45,940 +في I و ال V تبعت C بيساوي XC في I و I مشترك + +491 +00:38:45,940 --> 00:38:49,420 +solution بقولي قبل ما تشتغل كل حاجة بدي اجيب ال + +492 +00:38:49,420 --> 00:38:54,340 +reactances XL بيساوي Omega في L طلعتها XC بيساوي + +493 +00:38:54,340 --> 00:38:59,520 +واحد على Omega C طلعتها هجيت مين بدي يغلب شباب ال + +494 +00:38:59,520 --> 00:39:06,590 +XCاذن بتتوقع صفات الـC اللي هو التيار بيتقدم، يعني + +495 +00:39:06,590 --> 00:39:09,970 +الزاوية لازم تكون سالبة، مظبوط ولا لا؟ من هنا، لكن + +496 +00:39:09,970 --> 00:39:14,710 +بقى كم زاوية؟ مش عارفين، لكن قطعا هنا الـXC أكتر، + +497 +00:39:14,710 --> 00:39:17,830 +حاجات اللي وجيت قولت الدائرة more inductive ولا + +498 +00:39:17,830 --> 00:39:21,730 +more capacitive؟ more capacitive، واضحة من القياهي + +499 +00:39:21,730 --> 00:39:25,010 +القيام وقتش انا مقدر اقاله لما يصير اوم مع اوم هي + +500 +00:39:25,010 --> 00:39:30,410 +اوم اوم هدي 478 هدي 758 اذا صفات ال capacitor هي + +501 +00:39:30,410 --> 00:39:34,970 +الغالبه وبالتالي لازم التيار ليه تزق وانا مفترض من + +502 +00:39:34,970 --> 00:39:39,350 +اول lags اذا نتسارب هي اللي بتحل المشكله هجيب ممكن + +503 +00:39:39,350 --> 00:39:45,150 +بقى لما تجيب تقدر تجيب زت طلعت 513 طبعا الان the + +504 +00:39:45,150 --> 00:39:49,890 +maximum current is given byI maximum بس هو V + +505 +00:39:49,890 --> 00:39:54,430 +maximum ع ال Z الكلية ال Z معروفة و ال V maximum + +506 +00:39:54,430 --> 00:40:00,620 +معروفة طلعناها الان ال face angle هي قانونهاXL نقص + +507 +00:40:00,620 --> 00:40:04,260 +XC على R وهذا كاركوليتر كله معروف بتطلع زي شوف + +508 +00:40:04,260 --> 00:40:09,660 +جديش عاد اتقدم ب 34 درجة ما اتقدمش ب 90 درجة لان + +509 +00:40:09,660 --> 00:40:13,440 +ال knowledge weak ان ال L موجود فرض التقدم طلع + +510 +00:40:13,440 --> 00:40:17,840 +نتيجة زي سالبة لكن مافقدرش يفضل 90 درجة فقط اخد من + +511 +00:40:17,840 --> 00:40:23,680 +90 34 درجة و الباجي اللي اخدها او العوضها هو L + +512 +00:40:23,680 --> 00:40:28,560 +تماملا تنسى أن السيركيت هو أكثر قواتية لتو + +513 +00:40:28,560 --> 00:40:35,120 +حكيناها، الوضع يدفع الوزيع المستخدم بسعر 34 درجة، + +514 +00:40:35,120 --> 00:40:39,040 +تمام، للمزيد من الوزيع على كل حاجة، الماكسيمام + +515 +00:40:39,040 --> 00:40:42,960 +الكليه 150 شباب صح؟بتجيب الـ maximum على كل واحدة + +516 +00:40:42,960 --> 00:40:46,100 +زي طبعا ما حكيتلكم أنه لما بيجي أجمع ال voltmeter + +517 +00:40:46,100 --> 00:40:49,120 +مش هيقرا الجمع عادي طبعا ال R نص وال V maximum + +518 +00:40:49,120 --> 00:40:55,240 +بيشبهوا بعض هذه طلعت 124 و هذه طلعت 138 و هذه طلعت + +519 +00:40:55,240 --> 00:41:00,840 +221 اجمحهم بتطلع 150 طبعا بتطلعش 150 مع أن هو ذاك + +520 +00:41:00,840 --> 00:41:04,820 +كله و المفروض تواصل توالي المفروض المنطق يقول + +521 +00:41:04,820 --> 00:41:08,400 +جميعه لكن عشان انا بتعامل معه كإن vectors بيكونش + +522 +00:41:08,400 --> 00:41:14,540 +الشغلة بهذا الحالةكما هذا السؤال لو شفته ال finals + +523 +00:41:14,540 --> 00:41:18,600 +في أكتر من امتحان سابق عارف هذا السؤال كتير زيه + +524 +00:41:18,600 --> 00:41:22,300 +مقرر مش هو نفسه يعني مقرر كتير يعني هو او اللي + +525 +00:41:22,300 --> 00:41:27,100 +جابله بيكون دائما محاط أسئلة بانا انا شغلتين تانية + +526 +00:41:27,100 --> 00:41:32,060 +بسيطتين بديش اعمله عشان نحكي عنه شوية على الامتحان + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/BVklL2q8pvQ_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/BVklL2q8pvQ_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..bd6ccf10c8bb0f37e5b85fd7203d35047f53f4f0 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/BVklL2q8pvQ_postprocess.srt @@ -0,0 +1,2336 @@ +1 +00:00:00,000 --> 00:00:02,680 +موسيقى + +2 +00:00:15,100 --> 00:00:17,980 +أحنا نقول بسم الله الرحمن الرحيم في البداية لإن هو + +3 +00:00:17,980 --> 00:00:23,940 +بداية الشطر الشطر one بيحكي عن 2015 دايما هنا و هو + +4 +00:00:23,940 --> 00:00:27,940 +المدينة الكهربائية معنى الشطر الشطر هذا هيكون طويل + +5 +00:00:27,940 --> 00:00:32,440 +شويه هيكون قنقل عشان يتغطي بحسب ال outlines اللي + +6 +00:00:32,440 --> 00:00:36,260 +مكتوب عليكم دايما حكيت أن أنا في كل شطر هأحكي عن + +7 +00:00:36,260 --> 00:00:39,340 +أولي المميزين في كلهم هؤلاء المميزين عندكم بارضوا + +8 +00:00:39,340 --> 00:00:42,460 +على الصفحة موجودين عندكم في ال outlands في الجبال + +9 +00:00:42,460 --> 00:00:47,070 +كل شطر في الأسلافاللي مصموبة أنكم تحلوها كان مينا + +10 +00:00:47,070 --> 00:00:50,250 +بقى الـ recommended problem دي هذا الشبكة اللي زي + +11 +00:00:50,250 --> 00:00:56,170 +ما هتشوف هو انه فيه شبك أسلحة منطقة recommended و + +12 +00:00:56,170 --> 00:01:02,170 +مصطفى المهمين دي فعلا يتخيلوا واحد و اثنين و اثنين + +13 +00:01:02,170 --> 00:01:07,610 +و اثنين فعلا الان الاختيار على أساس انه التقييمفيه + +14 +00:01:07,610 --> 00:01:10,430 +من الطالب المعلومات الأساسية اللي انا بديها في صغر + +15 +00:01:10,430 --> 00:01:15,010 +طالب لنوم، اللي هي كل مسافر، كل شطة، يهدف، أنا بدي + +16 +00:01:15,010 --> 00:01:18,850 +.. هدف معين من هدف الشطة، بدي بعض المثالين في صغر + +17 +00:01:18,850 --> 00:01:22,550 +الطالب يقولها، هذه الأسئلة بتقيص هذه المثالين، في + +18 +00:01:22,550 --> 00:01:26,050 +امتحان برضه أنا بتقيص أي من المثالين، فأرتد عليها، + +19 +00:01:26,050 --> 00:01:28,870 +وبالتالي الأسئلة اللي بيبقوش ملايين شطون، بيكونوا + +20 +00:01:28,870 --> 00:01:32,370 +شغلات مفارقة في الناسو احنا نركز عليها أفضل و + +21 +00:01:32,370 --> 00:01:36,890 +بنكررها عدة مرات زي ما نتكلم عنه 65 مرات من الكتاب + +22 +00:01:36,890 --> 00:01:40,550 +فيه أكتر من 70 سؤال احنا اتفضنا هذه الأسئلة و هاني + +23 +00:01:40,550 --> 00:01:44,170 +أتوقع عنهم و موجودة على صفحته على يوتيوب حكوم + +24 +00:01:44,170 --> 00:01:50,590 +متولدة في أكتر من المكان تمام، في البداية هنحكي عن + +25 +00:01:50,590 --> 00:01:54,730 +الـElectric Charger الشحن الكهربائي الشحن + +26 +00:01:54,730 --> 00:01:59,450 +الكهربائي أساسي الكهربائية في شحنات كهربائيةوأساسي + +27 +00:01:59,450 --> 00:02:03,710 +المناطق السيئة أيضا هناك living charges رأيته + +28 +00:02:03,710 --> 00:02:09,230 +متعدد ومعروف من زمان، من الإدارية، أخدت المعلومات، + +29 +00:02:09,230 --> 00:02:10,150 +أنهم أرضوا + +30 +00:02:10,150 --> 00:02:22,950 +كارثوكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيك + +31 +00:02:23,620 --> 00:02:27,680 +والـ negative charge اللي تلقّيها في المادة هي + +32 +00:02:27,680 --> 00:02:34,880 +الإلكترونات بالتالي أصل الكعربية هو المادة لأن + +33 +00:02:34,880 --> 00:02:40,060 +المادة مكوّنة أصلا من الأتوان والأتوان الموجودة + +34 +00:02:40,060 --> 00:02:45,860 +فيها هو القطنات في المواد والإلكترونات تتحرك في + +35 +00:02:45,860 --> 00:02:50,780 +حرارة نوكيا بلقوا حوالين القطنات هذا أصل المادة + +36 +00:02:50,780 --> 00:02:55,710 +إذا الكعربية أصلها هي المادةعُرّفك على أن الوزونات + +37 +00:02:55,710 --> 00:03:00,350 +تحمل شحنات ساقية وعُرّفك الوزونات على أنها تحمل + +38 +00:03:00,350 --> 00:03:06,200 +شحنات ودب، بالتاليالمعلومة برضه اللي بيتبقى ان الـ + +39 +00:03:06,200 --> 00:03:09,880 +DNA بتتشارد فوق نفس الأكترون قلبهم بتتشارد فوق + +40 +00:03:09,880 --> 00:03:15,140 +أكترون هجتين مجنونين يوجة شحنة الأكترون مع أنها + +41 +00:03:15,140 --> 00:03:18,220 +مجنون ساعدة و شحنة البروتول مع أنها موجة بقى + +42 +00:03:18,220 --> 00:03:22,860 +تنفذهم إلى إنهم يحملوا نفس المقداة إنهم نفس + +43 +00:03:22,860 --> 00:03:31,220 +المقداة والمقداة هذا وجدت إلى نساوة 1.610⁻19 كولو + +44 +00:03:31,220 --> 00:03:36,560 +كولو جمالها اللي هي وحدة الـCharge أول إنجليزية + +45 +00:03:36,560 --> 00:03:42,760 +حفرة علينا هي الـCharge الـS.I. unit of charge is + +46 +00:03:42,760 --> 00:03:47,220 +كولو احنا عارفين ان هم فيه system مختلفة الـS.I. + +47 +00:03:47,380 --> 00:03:51,220 +والجامعة هنا من البرتجال الـB.H. اللي معتمد علنا + +48 +00:03:51,220 --> 00:03:54,920 +هو الـS.I. system قبل دور المقال كتير الـUnit of + +49 +00:03:54,920 --> 00:04:00,310 +charge in the S.I. system isCologne ورمزة بحث هذه + +50 +00:04:00,310 --> 00:04:03,970 +كانت سنة إذا هذا المفضل وانت ممكن تسكت بقى وانت + +51 +00:04:03,970 --> 00:04:04,830 +ممكن تسكت بقى وانت ممكن تسكت بقى وانت ممكن تسكت + +52 +00:04:04,830 --> 00:04:06,450 +بقى وانت ممكن تسكت بقى وانت ممكن تسكت بقى وانت + +53 +00:04:06,450 --> 00:04:07,010 +ممكن تسكت بقى وانت ممكن تسكت بقى وانت ممكن تسكت + +54 +00:04:07,010 --> 00:04:10,130 +بقى وانت ممكن تسكت بقى وانت ممكن تسكت بقى وانت + +55 +00:04:10,130 --> 00:04:11,650 +ممكن تسكت بقى وانت ممكن تسكت بقى وانت ممكن تسكت + +56 +00:04:11,650 --> 00:04:27,010 +بقى وانت ممكن تسكت بقى وانت ممكن تسكت بقى وانت + +57 +00:04:27,010 --> 00:04:32,120 +ممكن تسكتمثال هي إذا كان عدد البروتونات عالمي لجيب + +58 +00:04:32,120 --> 00:04:35,820 +كورة البروتونات السماوية في أي مادة وهو لا يوارو + +59 +00:04:35,820 --> 00:04:40,020 +القصيدة، معناته ان جسم الجمهور يحب الناس اللي + +60 +00:04:40,020 --> 00:04:42,000 +يتعرف عليها ويتعرف عليها البروتونات، تعالوا، + +61 +00:04:42,000 --> 00:04:43,580 +تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، + +62 +00:04:43,580 --> 00:04:44,680 +تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، + +63 +00:04:44,680 --> 00:04:45,180 +تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، + +64 +00:04:45,180 --> 00:04:48,540 +تعالوا، تعالالأطب هو إلكتروني في حياته المتعادلة + +65 +00:04:48,540 --> 00:04:54,240 +عندما نموذج الإلكترون يتساوي نموذج البروتونات. إذا + +66 +00:04:54,240 --> 00:04:58,380 +لما نقول المادة مش مشهورة، يعني متعادلة، هذا لا + +67 +00:04:58,380 --> 00:05:02,340 +يعني أنه مافيش فيها شحدات كثيرة، فيها شحدات، لأن + +68 +00:05:02,340 --> 00:05:04,420 +الشحنات اللي بيوجد بوضعها شحنات كثيرة بقالة، هم + +69 +00:05:04,420 --> 00:05:06,280 +متساوجين، متساوجين، متساوجين، متساوجين، متساوجين، + +70 +00:05:06,280 --> 00:05:07,360 +متساوجين، متساوجين، متساوجين، متساوجين، متساوجين، + +71 +00:05:07,360 --> 00:05:09,160 +متساوجين، متساوجين، متساوجين، متساوجين، متساوجين، + +72 +00:05:09,160 --> 00:05:12,940 +متساوجين + +73 +00:05:15,710 --> 00:05:21,030 +وانت تلقي طيب هاي ال charges اللي هي related + +74 +00:05:21,030 --> 00:05:23,890 +charges و different charges ايه ايه ايه ايه ايه + +75 +00:05:23,890 --> 00:05:26,350 +ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه + +76 +00:05:26,350 --> 00:05:26,490 +ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه + +77 +00:05:26,490 --> 00:05:28,650 +ايه ايه ايه + +78 +00:05:38,200 --> 00:05:43,020 +الشحنات المتشابهة بقراها، هم شحنات مختلفة .. + +79 +00:05:43,020 --> 00:05:46,880 +مختلفة لأنها كتابة .. كتابة أو كتابة أو كتابة كل + +80 +00:05:46,880 --> 00:05:49,980 +أفريقيا من الإنجليزيا، تقولكم عارفين يوتيوب معناه + +81 +00:05:49,980 --> 00:05:54,800 +إيه؟ فيه جد يادر منهم، وكتب يوتيوب عن كتبهم كلهم، + +82 +00:05:54,800 --> 00:06:00,680 +لكن فيه جد يادر، منها بباصة او جد يادر منهم. السفة + +83 +00:06:00,680 --> 00:06:03,480 +التانية اللي برضه، وكان مبدأ + +84 +00:06:07,620 --> 00:06:09,920 +محقوظة زي الـEnergy محقوظة زي الـEnergy محقوظة زي + +85 +00:06:09,920 --> 00:06:13,520 +الـEnergy محقوظة زي الـEnergy محقوظة زي الـEnergy + +86 +00:06:13,520 --> 00:06:14,460 +محقوظة زي الـEnergy محقوظة زي الـEnergy محقوظة زي + +87 +00:06:14,460 --> 00:06:18,160 +الـEnergy محقوظة زي الـEnergy محقوظة زي الـEnergy + +88 +00:06:18,160 --> 00:06:22,400 +محقوظة زي الـEnergy محقوظة زي الـEnergy محقوظة زي + +89 +00:06:22,400 --> 00:06:24,200 +الـEnergy محقوظة زي الـEnergy محقوظة زي الـEnergy + +90 +00:06:24,200 --> 00:06:28,150 +محقوظة زي الـEnergy محقوظة زي الـEnergy محقيعني + +91 +00:06:28,150 --> 00:06:32,010 +مافيش عندي PS4 أو بطول يوتيوب من الشيء و لا عندي + +92 +00:06:32,010 --> 00:06:35,370 +PS4 أو بطول من بطول العالم بروح في نفسي المنطقة + +93 +00:06:35,370 --> 00:06:38,170 +اللي ما كان لما كان لما كان لما كان لما كان لما + +94 +00:06:38,170 --> 00:06:38,930 +كان لما كان لما كان لما كان لما كان لما كان لما + +95 +00:06:38,930 --> 00:06:39,750 +كان لما كان لما كان لما كان لما كان لما كان لما + +96 +00:06:39,750 --> 00:06:40,830 +كان لما كان لما كان لما كان لما كان لما كان لما + +97 +00:06:40,830 --> 00:06:42,770 +كان لما كان لما كان لما كان لما كان لما كان لما + +98 +00:06:42,770 --> 00:06:42,810 +كان لما كان لما كان لما كان لما كان لما كان لما + +99 +00:06:42,810 --> 00:06:43,430 +كان لما كان لما كان لما كان لما كان لما كان لما + +100 +00:06:43,430 --> 00:06:44,070 +كان لما كان لما كان لما كان لما كان لما كان لما + +101 +00:06:44,070 --> 00:06:44,510 +كان لما كان لما كان لما كان لما كان لما كان لما + +102 +00:06:44,510 --> 00:06:47,810 +كان لما كان لما كان لما كان لما كان ل + +103 +00:06:51,070 --> 00:06:54,510 +طبعا تقولين أن دا إيه سبب؟ من أصل الشحنان ليه + +104 +00:06:54,510 --> 00:06:57,590 +الأقوام اللي بيقولونها؟ وانا بعرف أبطالي أنا ماشي + +105 +00:06:57,590 --> 00:07:00,550 +عامل بعمل ال report ولا ماشي بعمل ال report ولا + +106 +00:07:00,550 --> 00:07:02,890 +عشان روح ال report إذا أن أنا في أي شحنة في + +107 +00:07:02,890 --> 00:07:07,710 +الدنيا، مش هيئة، إما انتوا أو مضاعفات، يعني خمس، + +108 +00:07:07,710 --> 00:07:11,530 +عشر، بليون، مليون، تبتدية، I'm not convinced إنه + +109 +00:07:11,530 --> 00:07:15,890 +بيبيني شحنان، هيعبارة عن خمس آلاف electron robots + +110 +00:07:16,400 --> 00:07:19,860 +خلاص خمس سنة .. خمس سنة خمس سنة .. خمس سنة .. خمس + +111 +00:07:19,860 --> 00:07:22,220 +سنة .. خمس سنة و أربعة .. عشان .. هذه هي .. إذا + +112 +00:07:22,220 --> 00:07:28,360 +زعلانة وهذه زعلانة مختلفة بمعنى أخر الـ Q هو رمزي + +113 +00:07:28,360 --> 00:07:33,880 +لأقل ما خلصت برمزي زي ما M is a symbol of mass and + +114 +00:07:33,880 --> 00:07:38,400 +F is a symbol of force and D is a symbol of time + +115 +00:07:38,400 --> 00:07:42,620 +الـ Q is a symbol of charge برّات بتقول الـ Q + +116 +00:07:42,620 --> 00:07:44,180 +small و برّات بتقول كبير + +117 +00:07:47,170 --> 00:07:53,330 +الشؤلة بتساوي أن هو الانتجار الشبكاتي 0,1,2,3 + +118 +00:07:53,330 --> 00:07:59,530 +مضروب بإيش؟ بشحمة الكيلترول أنت إيه؟ هل يصبح صيغة + +119 +00:07:59,530 --> 00:08:05,070 +بتكتير للصيغة إن البيتشار يبقى one type يعني إن + +120 +00:08:05,070 --> 00:08:11,830 +بستوى السترة 1,2 مش ممكن يكون 1.1 أو 1.5 أو 1.3 لأ + +121 +00:08:11,830 --> 00:08:18,620 +1,2,3,4 كلهم أقاربصحيحة فهذه هي شخصية one size + +122 +00:08:18,620 --> 00:08:22,120 +طبعا وعكس شخصية one size كتير واحد كتير واحد يعني + +123 +00:08:22,120 --> 00:08:25,720 +انه بانتجرش من واحد لاتنين مراحلين يعني واحد وواحد + +124 +00:08:25,720 --> 00:08:28,380 +ورسوم وواحد ورسوم وواحد كده فهذه شخصية كتير واحد + +125 +00:08:28,380 --> 00:08:30,780 +لكن انا اللي شارك بيبقى كتير واحد كتير واحد كتير + +126 +00:08:30,780 --> 00:08:34,300 +واحد كتير واحد كتير واحد كتير واحد كتر واحد كتر + +127 +00:08:34,300 --> 00:08:34,540 +واحد كتر واحد كتر واحد كتر واحد كتر واحد كتر واحد + +128 +00:08:34,540 --> 00:08:40,650 +واحد كتر واحد كتر واحد كتر واحد كتر واالأولى + +129 +00:08:40,650 --> 00:08:43,110 +الشخصية المستهدفة من الدلوقت اللي انا بعرفها من + +130 +00:08:43,110 --> 00:08:47,090 +الدلوقت انها كونزيرب معيومة بتخطي ايش هو الكونزيرب + +131 +00:08:47,090 --> 00:08:49,910 +من باقي الانجليزيات اللي بيوفوا اللي يدعموا منهم + +132 +00:08:49,910 --> 00:08:53,590 +ويدعموا منهم ويشاركوا الكونزيرب ويكون فيها الشخصية + +133 +00:08:53,590 --> 00:08:57,550 +المنطقية الشحنات في هذه الشوق ايه المعنى؟ اي شخصية + +134 +00:08:57,550 --> 00:09:02,110 +من المتواقبات الشخصية المنطقية وبالتالي مابتهانش + +135 +00:09:02,110 --> 00:09:02,950 +شطارة + +136 +00:09:16,450 --> 00:09:19,310 +زي ما تشوفته و احنا قاعدين نحكي في ال description + +137 +00:09:19,310 --> 00:09:23,470 +إيش اللي هنشرح هنشرح تيار كهبائي التيار الكهبائي + +138 +00:09:23,470 --> 00:09:26,670 +اللي يحكي هو عبارة عن حركة شحناك إذا ان الشحناك + +139 +00:09:26,670 --> 00:09:31,830 +هيزمها تتحرك هتتحرك بمانواع و أسلاك بمانواعها هل + +140 +00:09:31,830 --> 00:09:34,990 +كل الأسلاك تتحرك بنفس النوعية .. بنفس ال .. + +141 +00:09:34,990 --> 00:09:38,450 +الكيبية؟ قطعا لا في عندي أسلاك بيسموها + +142 +00:09:41,490 --> 00:09:44,850 +في عندي مواد in between بسموها seam conductors أو + +143 +00:09:44,850 --> 00:09:48,650 +أشبه موصلات وفي عندي مواد بسموها super conductors + +144 +00:09:48,650 --> 00:09:53,050 +مواد فائغات طويلة احنا اللي مهمنا في هذا المصاد هو + +145 +00:09:53,050 --> 00:09:56,650 +ال conductors و ال insulators conductors بالعربي + +146 +00:09:56,650 --> 00:10:02,410 +إيش فعلتها؟ موصف و insulator؟ أسد و لكل اللي بسمه + +147 +00:10:02,410 --> 00:10:05,990 +من اسمه نصي الواحد بسمه conductor ليه بسمه موصف؟ + +148 +00:10:05,990 --> 00:10:09,710 +عشان موصف صح ولا لأ؟ موصف إيش؟ أنا بحكي في القهوة + +149 +00:10:11,310 --> 00:10:15,230 +يوصي طيارة عضائي يعني يوصي الشحنات يعني الشحنات + +150 +00:10:15,230 --> 00:10:18,570 +بتتحرك بسهولة إذا لو جيتنا نقولشو ال conductor + +151 +00:10:18,570 --> 00:10:23,030 +نقول ال conductor is the substance that permits + +152 +00:10:23,030 --> 00:10:27,870 +electric charge to move freely هو المادة اللي تسمح + +153 +00:10:29,080 --> 00:10:34,020 +وحرية تتحرك الشحنات الطرق سالكة دوه فيها إمكانية + +154 +00:10:34,020 --> 00:10:38,560 +الحركة إيش فيه أنثيات؟ طبعا التركيبة الكيميائية + +155 +00:10:38,560 --> 00:10:41,740 +للمواد اللي بنعرف إن الكلوتيونات ترتبط + +156 +00:10:41,740 --> 00:10:46,620 +بالكلوتيونات بقوة جلد صح ولا لا؟ هذه القوة إذا كنت + +157 +00:10:46,620 --> 00:10:50,420 +تتغلب عليها بفترة الكلوتر كل ما كانت القوة ضعيفة + +158 +00:10:50,420 --> 00:10:54,940 +كل ما كانت إمكانية إنه يفل تصير فيه أكبر هذه وقتين + +159 +00:10:54,940 --> 00:10:59,650 +كانت قوة ضعيفة من ال metalsبالـ metals بالتالي كل + +160 +00:10:59,650 --> 00:11:03,010 +الـ metals تعتبر conductors الشيء الأمثل على ال + +161 +00:11:03,010 --> 00:11:06,830 +conductors هي ال silver أجود أنواع ال conductors + +162 +00:11:06,830 --> 00:11:10,570 +من ال metals هي ال silver الفضة اللي تليها هو + +163 +00:11:10,570 --> 00:11:14,190 +القبر النحاس و طبعا في عندنا ال aluminium و ال + +164 +00:11:14,190 --> 00:11:18,010 +iron الحديد كل ال metals طبعا احنا نقشها بالتلاجة + +165 +00:11:28,950 --> 00:11:31,250 +لكن مازال انا اتدور على التوفير اتدور على التوفير + +166 +00:11:31,250 --> 00:11:34,930 +بدا اشوف انه منها غلاوة نحاف فبالتالي في الضربالي + +167 +00:11:34,930 --> 00:11:38,250 +اللي بيستخدم النحاس هو عشان كده النحاس هو الأكتر + +168 +00:11:38,250 --> 00:11:44,290 +شخص معين باستخدام عشان رخصه اللي بيستخدمه ايش ال + +169 +00:11:44,290 --> 00:11:47,690 +insulator؟ عكس اللي كنت قلتها ال insulator is the + +170 +00:11:47,690 --> 00:11:51,690 +substance that doesn't permit electric charges to + +171 +00:11:51,690 --> 00:11:56,770 +move ده تسمح بحركة الشحنة الطول بينسكها ده جواحط + +172 +00:11:56,770 --> 00:12:01,290 +شحنة بتدرها تنجز جوانها حط تقع ممكن تشحنها تشحنها + +173 +00:12:01,290 --> 00:12:04,290 +بس الشحنة بتخطبها و لا حطتها بتلاقيها ال converter + +174 +00:12:04,290 --> 00:12:08,030 +اللي حط شحنة دي وجهك بتلاقيه أشهر حط تقع تروح هيك + +175 +00:12:08,030 --> 00:12:10,710 +و لا تروح هيك و لا تروح هيك فيه إمكانية حركة أي + +176 +00:12:10,710 --> 00:12:14,690 +مؤثرة جوا في المادة محركها أما ال Insulator لأحط + +177 +00:12:14,690 --> 00:12:19,750 +شحنة بتدرها كما هي موجودة هيك في السيطرة ايش في + +178 +00:12:19,750 --> 00:12:23,930 +عندي أمثلة؟ أمثلة عندي الجلاص الزجاج و هنا بنعود + +179 +00:12:23,930 --> 00:12:25,070 +ان الزجاج مادة عادلة + +180 +00:12:27,890 --> 00:12:32,290 +أحنا بنطليها أو بنغلفها بال plastic عشان ما + +181 +00:12:32,290 --> 00:12:36,090 +نتكهربش تمام؟ و في عندى ال rubber برضه نفس القضية + +182 +00:12:36,090 --> 00:12:39,410 +و في عندى الخشب كلكم بتعرفوا فيه شغلات كتيرة و + +183 +00:12:39,410 --> 00:12:44,490 +ورقم و أمور كتيرة في كتير مواد تسمى insulators أنا + +184 +00:12:44,490 --> 00:12:48,410 +اللى بهمني في هذا الموضوع ان أول ما شوفته مدكتر + +185 +00:12:48,410 --> 00:12:52,430 +بتدرك ان الشحنات ممكن تتحرك تمام؟ أول ما شوف + +186 +00:12:52,430 --> 00:12:56,920 +انسجلتر بقول الشحنة من بحط قرف بلاقيهاهي اللي انا + +187 +00:12:56,920 --> 00:13:02,940 +بديها في الموضوع هذا نقول للعصب ال senses في مجموع + +188 +00:13:02,940 --> 00:13:06,440 +الموارد that fall in an intermediate position ما + +189 +00:13:06,440 --> 00:13:09,800 +هي constant ولا هي convective اتقع ما بين constant + +190 +00:13:09,800 --> 00:13:13,750 +وconvectiveبـ Intermediate position between + +191 +00:13:13,750 --> 00:13:16,970 +conductors and insulators these substances are + +192 +00:13:16,970 --> 00:13:21,090 +called semiconductors أشبه توصيلات عند المثالين + +193 +00:13:21,090 --> 00:13:24,310 +الصارخين و المشهورين هما الـ cellophane و الجرمال + +194 +00:13:24,310 --> 00:13:28,170 +طبعا التركيبة الفيزيائية لهم ان ال conduction band + +195 +00:13:28,170 --> 00:13:31,990 +و ال valance band أو الحزمة التوصيلية و الحزمة + +196 +00:13:31,990 --> 00:13:36,190 +التكافؤية بتكون جالبهم صغيرة بحين بيقدر الهاتف + +197 +00:13:36,190 --> 00:13:39,440 +ينطقمن الـ valance ban إلى ال conduction ban و + +198 +00:13:39,440 --> 00:13:42,320 +بصير المادة شبه موصلة و عشان كده بيسموها + +199 +00:13:42,320 --> 00:13:45,320 +superconductance كأنا مش همروا علينا في هذا ال + +200 +00:13:45,320 --> 00:13:49,580 +course طبعا الشغل الرابع اللي موجود لو برضه مش + +201 +00:13:49,580 --> 00:13:52,540 +معلقين فيها في هذا الشرطة هي ال superconductance + +202 +00:13:56,760 --> 00:14:00,440 +لأن الـ Resistivity تبعاتهم يا شباب تقريبا سفر، + +203 +00:14:00,440 --> 00:14:07,460 +تقريبا سفر، تقريبا سفر، تقريبا + +204 +00:14:07,460 --> 00:14:12,420 +سفر، تقريبا سفر، تقريبا سفر، تقريبا سفر، تقريبا + +205 +00:14:12,420 --> 00:14:13,520 +سفر، تقريبا سفر، تقريبا سفر، تقريبا سفر، تقريبا + +206 +00:14:13,520 --> 00:14:17,100 +سفر، تقريبا سفر، تقريبا سفر، تقريبا سفر، ت + +207 +00:14:19,930 --> 00:14:24,730 +والتي يفر بقى من المحطة لمس مجموطنا من الـ Trans + +208 +00:14:24,730 --> 00:14:29,770 +المزامين عشان يعوض لنا الفاقل لأن السلك المحاس هذا + +209 +00:14:29,770 --> 00:14:33,290 +بالرغم من أن نقول عنه أننا Conductor اللي هي وفيه + +210 +00:14:33,290 --> 00:14:37,210 +مقاومة وبالتالي تفقد جزء من الفاقل الكهربائية + +211 +00:14:37,210 --> 00:14:42,330 +خلاله لو هذا المحاس استبدل بأسلحة Super Conductors + +212 +00:14:42,330 --> 00:14:46,250 +الفاقد بكلاشة وبالتالي بتوفر علينا كتير وإن + +213 +00:14:46,250 --> 00:14:51,730 +الكهربا زي ما أطلع في 2020مزاى بعض اليوم تصل + +214 +00:14:51,730 --> 00:14:56,190 +الكهربا بينكى ل 120 و 150 من مقود الكهربا المتوفر + +215 +00:14:56,190 --> 00:15:00,690 +فاقد لكن هذا لحد الآن الاستخدام العملي صعب + +216 +00:15:00,690 --> 00:15:05,230 +مانتشاريه أقل من الاستخدامات كله في ال labs لأنه + +217 +00:15:05,230 --> 00:15:09,050 +بيدي درجة الحرارة محفظة او مش معنى فيها تكتير + +218 +00:15:09,050 --> 00:15:13,310 +الموضوع التالي برضه انا بقدمه كيف انا بدي اشحن جسم + +219 +00:15:13,310 --> 00:15:17,650 +بيقولوا في اي دي اي دي طرف انا ممكن ادي باسم مشهور + +220 +00:15:17,650 --> 00:15:21,410 +البسه باسم كان مشهور طب تقل الشحناتمن المشهور إلى + +221 +00:15:21,410 --> 00:15:25,090 +غير المشهور نفسي المشهور الحالة التانية أن أنا + +222 +00:15:25,090 --> 00:15:29,570 +أشحن بالتأثير شبهها من طول مذابس من قعدة أن جسم + +223 +00:15:29,570 --> 00:15:34,370 +أشحن بالتأثير يعني induction الأقل بدي أشحن عملية + +224 +00:15:34,370 --> 00:15:39,390 +الشحن بالتأثير كيف بدي أشحن جسم تأثيريا it's + +225 +00:15:39,390 --> 00:15:44,350 +charging by induction charge بناته شحنه و charge + +226 +00:15:44,350 --> 00:15:48,570 +كveer بناته يشحنه it's charge now or there + +227 +00:15:51,550 --> 00:15:56,030 +فالـ charging هنا charging by induction بيقولي + +228 +00:15:56,030 --> 00:15:59,110 +with the properties of conductors and insulators + +229 +00:15:59,110 --> 00:16:03,350 +in mind انت أخدت خواص ال conductors و أخدت خواص ال + +230 +00:16:03,350 --> 00:16:06,690 +insulators و أخدتها في روحك و بدي أشتغلها بيقولي + +231 +00:16:06,690 --> 00:16:11,130 +when can it charge؟ charge هنا كده، a conductor + +232 +00:16:11,130 --> 00:16:13,450 +إذا أنا مابقدرش أشعل ال conductor، الinsulator + +233 +00:16:13,450 --> 00:16:15,850 +مابقدرش أشعله، لأنه مابقدرش اشعله يبقى موجوه بيهش + +234 +00:16:15,850 --> 00:16:20,710 +by a technique called charging by inductionبتكنيكى + +235 +00:16:20,710 --> 00:16:23,630 +بيسمى ال induction أو التأثير كيف؟ بيقولى الله + +236 +00:16:23,630 --> 00:16:29,930 +حاجة consider a conductor بدليل كوندكتر insulated + +237 +00:16:29,930 --> 00:16:34,950 +from the ground اللى أفصله عن الأرض بعازى الأحمر + +238 +00:16:34,950 --> 00:16:40,810 +كوندكتر شجرة والأصمر جسم عازل عن الأرض حطته على + +239 +00:16:40,810 --> 00:16:46,810 +لوح حجب حطته على طاولة على لوح مطاط بلاستيكو زياجة + +240 +00:16:46,810 --> 00:16:50,270 +المهم بينه وبين الأرض لأنه مش اتصالفي مادة عازلة + +241 +00:16:50,270 --> 00:16:54,010 +وصلت مع الأرض أطلع و أقول هذا الـ conductor فإن + +242 +00:16:54,010 --> 00:16:57,610 +هذا الـ conductor نحن لدينا شحنات داخلنا نحن لدينا + +243 +00:16:57,610 --> 00:17:02,290 +إلكترون و بروترون عشان + +244 +00:17:02,290 --> 00:17:06,650 +كده هذا الـ conductor الـ neutral أنا بدي أخليه + +245 +00:17:06,650 --> 00:17:09,890 +مشهور بالتالي هو الـ neutral لكن فيش فيه شحنات؟ + +246 +00:17:09,890 --> 00:17:13,130 +فيه فيه إلكترون و فيه بروترون زي ما احنا عارفين + +247 +00:17:13,130 --> 00:17:18,160 +فيش مادة خالية من الشحنات ايش بيجي أسوي؟يقول لي + +248 +00:17:18,160 --> 00:17:22,160 +نولد a negative charge object في جسم مشهور، + +249 +00:17:22,160 --> 00:17:26,160 +negative charge object، جسم مشهور، مش حاجة زي بقى، + +250 +00:17:26,160 --> 00:17:29,460 +to be brought near the conductor، كربه، without + +251 +00:17:29,460 --> 00:17:35,220 +touching it، ما تلقسش، من بعض، بس كربه شوية، كربه، + +252 +00:17:35,220 --> 00:17:40,930 +هذا جسم مشهور، كربههيجدت أحمر جوبة فيه روتونات و + +253 +00:17:40,930 --> 00:17:44,550 +فيه روتونات كانوا ماخدين راحتهم و كل واحد رايح على + +254 +00:17:44,550 --> 00:17:50,510 +شجة هو حرفية الهاددة مؤثر جسم مشحون بشحنات ثانبة + +255 +00:17:50,510 --> 00:17:53,950 +المعلومة اللي عندي من كل .. كل الشحنات الموجة بدت + +256 +00:17:53,950 --> 00:17:58,110 +يجيبهم ولا لا و كل الشحنات الثانبة بترافرهم فإيه + +257 +00:17:58,110 --> 00:18:02,030 +بتصير الشحنات اللي دي هو الكندكة اللحمة بدل ما + +258 +00:18:02,030 --> 00:18:08,190 +كانت موزعة بيه عشوائيا بدها تقاني و عاد توزيحبحيث + +259 +00:18:08,190 --> 00:18:12,750 +الشحنات الموجة بتجربت والشحنات السالبة تبعد ولا لأ + +260 +00:18:12,750 --> 00:18:17,130 +إذا ندّوصي ال redistribution of charges due to the + +261 +00:18:17,130 --> 00:18:21,210 +attractive and repulsive forces نتيجة قوة الجذب + +262 +00:18:21,210 --> 00:18:25,250 +والتنافر ما بين الجسم الأزرق والشحنات اللي جوا + +263 +00:18:25,250 --> 00:18:31,670 +الجسم الأحمر تجازوا التنافر the charges within the + +264 +00:18:31,670 --> 00:18:36,750 +conductor will be redistributed سيُعد توزيعهافي + +265 +00:18:36,750 --> 00:18:39,010 +الأول كانت موزعة عشوائية عشوائية عشوائية عشوائية + +266 +00:18:39,010 --> 00:18:44,890 +الآن هتوزحين شباب شوف المودة براح والسالب براح + +267 +00:18:44,890 --> 00:18:48,610 +المودة كانت مفضلة لأن فيها factor force والسالب + +268 +00:18:48,610 --> 00:18:52,490 +أبعد لأن فيه repulsive force هذيك ليش السالب + +269 +00:18:52,490 --> 00:18:58,310 +مابعدش أكتر من كده؟ when we do في وصف عازل صح ولكن + +270 +00:18:58,310 --> 00:19:02,900 +هو الفراق أو الهوى يعني الطريق المسكرا قدامهوالـ + +271 +00:19:02,900 --> 00:19:05,560 +positive الـ negative يبقى أكتر من كده لأنه في وقت + +272 +00:19:05,560 --> 00:19:10,060 +عادي فاصله عن المؤثر و هو الجسم الأزرق إذا أنا + +273 +00:19:10,060 --> 00:19:14,340 +قررت إلى أقصى ما أستطيع و السائق بيقول أتعالج إلى + +274 +00:19:14,340 --> 00:19:19,460 +أقصى ما أستطيع تمام؟ الـ contraction أحمر مازال + +275 +00:19:19,460 --> 00:19:24,440 +نوترون ولا لأ؟ مازال نوترون انشعاد؟ لأ لو كان في + +276 +00:19:24,440 --> 00:19:28,200 +عندي الف بروتون و الف نتوان زاده ولا خسه؟ لأ بس ال + +277 +00:19:28,200 --> 00:19:33,590 +الف نتوان صفوا عشان ذلكو لازم البطولة تسطى عشان + +278 +00:19:33,590 --> 00:19:36,890 +تجاوز نحن نقول البطولة هي الشحنات الموجبة اللى + +279 +00:19:36,890 --> 00:19:39,950 +تتحولى لكن تجاوز نحن نقولها بقى انا اقول لك ماذا + +280 +00:19:39,950 --> 00:19:43,910 +ممكن تسوي احنا مش حالة انت تحاول تخلص لك من جزء من + +281 +00:19:43,910 --> 00:19:47,170 +هالشحنة وعندما اتصلت بطولة انت تحاول توزع واحد + +282 +00:19:47,170 --> 00:19:52,830 +لبطولة تقول هنا the conductor be grounded وصر ال + +283 +00:19:52,830 --> 00:19:57,950 +conductor بالأرض وصرت هنا ايش صار؟ الطريقة كانت + +284 +00:19:57,950 --> 00:20:01,410 +مسكرة السلك فتحني شبان في ال conductor و لا الأرض + +285 +00:20:01,820 --> 00:20:05,480 +فتح شبكة .. فتكون تكتر طريق سلكة هذه الإلكترونات + +286 +00:20:05,480 --> 00:20:09,760 +اللي جاية حد بقعد فيها ومش قادرة تبعد أكتر من كده + +287 +00:20:09,760 --> 00:20:12,900 +لأن الطريق مسكرا وفتحت الطريق ايش تدوس فيها .. + +288 +00:20:12,900 --> 00:20:18,320 +فتدوس .. تهرب على الأرض الأرض بتاكل كل الإلكترونات + +289 +00:20:18,320 --> 00:20:21,900 +اللي موجودة بيقول لي .. the negative charges will + +290 +00:20:21,900 --> 00:20:26,420 +disappear .. وين بتروح؟ على الأرض .. ماتتش .. لأن + +291 +00:20:26,420 --> 00:20:30,340 +the charge is conserved .. إذا هي راح تتفقلك من + +292 +00:20:30,340 --> 00:20:37,590 +الأرضأو واحدة الان ال conductor .. هم ممكن يخرجوا + +293 +00:20:37,590 --> 00:20:43,290 +بقى ال conductor بطل المنظر لأنه في شحنات سالبة + +294 +00:20:43,290 --> 00:20:47,330 +راحوا من عنده إذا صارت الشحنات الموجبة أكتر من + +295 +00:20:47,330 --> 00:20:50,610 +الشحنات السالبة إذا للأن بدّر أقول ان ال conductor + +296 +00:20:50,610 --> 00:20:56,270 +is charged or positively charged تنهت .. انشحك .. + +297 +00:20:56,270 --> 00:21:00,150 +ايش بيبضل عليك؟ قال إن أنا خلصت جدا جيب هذا السلك + +298 +00:21:00,150 --> 00:21:06,860 +اللي حاطيتههي تنقل المشركة من الأرض و بعدها تنقل + +299 +00:21:06,860 --> 00:21:08,000 +المشركة من الأرض و بعدها تنقل المشركة من الأرض و + +300 +00:21:08,000 --> 00:21:08,420 +بعدها تنقل المشركة من الأرض و بعدها تنقل المشركة + +301 +00:21:08,420 --> 00:21:14,280 +من الأرض و بعدها تنقل المشركة من الأرض و بعدها + +302 +00:21:14,280 --> 00:21:19,220 +تنقل + +303 +00:21:19,220 --> 00:21:26,200 +المشركة + +304 +00:21:26,200 --> 00:21:32,130 +من الأرضهذه الشيخنات بتاعها بنزجها هيك؟ اللي كان + +305 +00:21:32,130 --> 00:21:35,990 +بنزجها و حصدها فين الله؟ اللي هو الأزرق، إيه + +306 +00:21:35,990 --> 00:21:39,510 +بنصير؟ بتتوزع عشوائي النتيجة التقرار والتقرير + +307 +00:21:39,510 --> 00:21:43,570 +نتاعك، هي الشيخنات متبادلة في العسكر فتقوللي due + +308 +00:21:43,570 --> 00:21:47,310 +to the revulsive force between them between the + +309 +00:21:47,310 --> 00:21:50,350 +positive and charges the positive and charges will + +310 +00:21:50,350 --> 00:21:55,090 +be redistributed uniformly over the surface of the + +311 +00:21:55,090 --> 00:22:00,480 +conductorهيعاد توزيع الشحنات من عشوائية و بانضغام + +312 +00:22:00,480 --> 00:22:05,440 +حصيني، إذا أنا بدأت ب conductor الليفل أخسين ب + +313 +00:22:05,440 --> 00:22:08,680 +conductor with positive charge، فاكر. إيه دا السيد + +314 +00:22:08,680 --> 00:22:11,740 +أسمكت، يعني لو احنا قتلنا المؤثر قبل فصل المؤثر، + +315 +00:22:11,740 --> 00:22:16,830 +المؤثر على الأرض، شو بيصير ذلك؟لأ بيبقى مش موجة + +316 +00:22:16,830 --> 00:22:19,610 +بيرجع ال neutral لإنه بيجيه إلكترونات من الأرض + +317 +00:22:19,610 --> 00:22:22,310 +عيبة تمام بس إحنا نجاوز اللي بيقولوا وكده إن + +318 +00:22:22,310 --> 00:22:25,410 +البوطناط راحت هي البوطناط بيبقى تخرج لزمن قعدتين + +319 +00:22:25,410 --> 00:22:28,890 +لكن لما إلكترون يتفع من الظرّة شباب بصير الظرّة + +320 +00:22:28,890 --> 00:22:32,650 +يوم موجة فبصير وكده الشحنة بيكون كده في كل عالم + +321 +00:22:32,650 --> 00:22:38,030 +وكده البوطناط فيش شحنة بيكون كده فلو جينا المؤثر و + +322 +00:22:38,030 --> 00:22:41,290 +لسه على السليك موجود اللي كان في الأول الشحنات + +323 +00:22:41,290 --> 00:22:46,080 +الأول ماكانش كدهأحنا مهندسين بتروح، تمام؟ فهذا + +324 +00:22:46,080 --> 00:22:48,600 +اللي بيصير معايا، إذا هذي عملتش حاجة متأثيرة، + +325 +00:22:48,600 --> 00:22:51,220 +بتقول أنا بتشتغل، في موضوع بسيط يعني، في نهاية، + +326 +00:22:51,220 --> 00:22:54,520 +أنا اللي بدي إياها، اللي لما يكون بكتر شباب، يكون + +327 +00:22:54,520 --> 00:22:57,640 +جامبوري proportional to the square of the distance + +328 +00:22:57,640 --> 00:23:01,140 +between the two parties، يقول يكون مابعتش مجلد، + +329 +00:23:01,140 --> 00:23:05,880 +مجلد القوة، ويبقوا من القلاقة ما بين مربع المسافة، + +330 +00:23:05,880 --> 00:23:09,240 +مش مع المسافة نفسها، فذكركم في القاروبة من زمان + +331 +00:23:09,240 --> 00:23:11,140 +يبقوا أف واحد، تريس، + +332 +00:23:32,610 --> 00:23:34,550 +صح ولا ده؟ + +333 +00:23:42,930 --> 00:23:47,270 +هنا من هدور بتاعنا القانون المشادر تناسب طربي بعد + +334 +00:23:47,270 --> 00:23:52,590 +بدل الماسس بحط الشقلات و المسافر هي مسافر تمام؟ + +335 +00:23:52,590 --> 00:23:56,490 +ايش الخلاف؟ ان هذه قوة الجدد دايمة صح ولا لا؟ + +336 +00:23:56,490 --> 00:23:59,530 +القوة الكهربية ممكن تكون جدد ممكن تكون؟ تمام؟ + +337 +00:23:59,530 --> 00:24:05,130 +تمام؟ و بالتالي هو بيقول لأ ان the direction of + +338 +00:24:05,130 --> 00:24:08,730 +the force is along the line joining the two + +339 +00:24:08,730 --> 00:24:12,050 +particlesيقول لو كان عندك مين أشوفنا شباب ومين + +340 +00:24:12,050 --> 00:24:16,870 +أشوفنا وهادي بيسميها Q1 وهادي Q2 القوة اللي على + +341 +00:24:16,870 --> 00:24:20,510 +هذه لا بيبقى تكون هيك ولا بيبقى تكون هيك صح ولا + +342 +00:24:20,510 --> 00:24:24,530 +لا؟ إذا كانت ياجوبيا بيبقى تكون هيك إذا كانت كورية + +343 +00:24:24,530 --> 00:24:27,430 +بيبقى تكون هيك فين كانية القوة اللي على هذه تكون + +344 +00:24:27,430 --> 00:24:30,520 +هيك من هنا لها؟مافيش تانية لازم تكون على خط الواصل + +345 +00:24:30,520 --> 00:24:34,100 +بينهم لإن هي جانب تثير قادر مفهوش تكون هيك إذا هي + +346 +00:24:34,100 --> 00:24:38,000 +ماعندهم تثير قوة شخصيات أخرى صح ولا لأ إذا لازم + +347 +00:24:38,000 --> 00:24:42,200 +القوة تكون على الخط الواصل بين الشخصيات .. مايبقى + +348 +00:24:42,200 --> 00:24:45,860 +اسمها زيها دي لو كان عندي هنا أبوي و هنا أبوي هي + +349 +00:24:45,860 --> 00:24:49,760 +أبوي و هي أبوي هو القوة بتكون هي السوريين هنا + +350 +00:24:49,760 --> 00:24:53,900 +الجملة طبعا بتكون هي لازم صح ولا لأ مفهوش تكون + +351 +00:24:53,900 --> 00:24:59,740 +ماجر حاجة معروفة كمانالخطوة الرابعة او المراحضة + +352 +00:24:59,740 --> 00:25:02,300 +الرابعة اللى انا عارفها من زمان ان ال force is + +353 +00:25:02,300 --> 00:25:06,080 +attractive if the charges are of opposite sides + +354 +00:25:06,080 --> 00:25:09,900 +and repulsive تنافورية if the charges have the + +355 +00:25:09,900 --> 00:25:14,820 +same sides هذه شغلها معروفة اذا بتكون تجاذبية اذا + +356 +00:25:14,820 --> 00:25:18,860 +كان الشحنات مختلفة وتنافورية اذا كان الشحنات + +357 +00:25:18,860 --> 00:25:24,820 +متشابهة هذا اربع مراحضات بده يحطهم بقانون فجال + +358 +00:25:31,070 --> 00:25:35,790 +من هذه الملاحظات، مدينة القوة التي تعمل على محطة + +359 +00:25:35,790 --> 00:25:40,830 +تحزين Q1 بسبب محطة تحزين Q2 يمكن أن تكون محطة + +360 +00:25:40,830 --> 00:25:42,310 +تحزين كذلك + +361 +00:25:49,920 --> 00:25:56,320 +الرمز اللى احنا عامله F21 من اتنين على واحد هذه + +362 +00:25:56,320 --> 00:26:00,200 +الفرص اللى على واحد من اتنين حسب رمز الكتاب تبعكم + +363 +00:26:00,200 --> 00:26:04,040 +طبعا انا ايش باخد ال magnitude شباب الان بدي ال + +364 +00:26:04,040 --> 00:26:06,860 +magnitude انص ال direction ال direction بيحدده + +365 +00:26:06,860 --> 00:26:10,860 +repulsive or attractive بعدين بنحكي عنه بساوي K + +366 +00:26:10,860 --> 00:26:16,470 +ثابت التناسب بدي ال capital G هناك الثابت Kبديل M1 + +367 +00:26:16,470 --> 00:26:20,210 +في M2 وحطينا Q1 وQ2 وفي مراعر وحطينا absolute + +368 +00:26:20,210 --> 00:26:27,330 +values هناك مستحيل + +369 +00:26:27,330 --> 00:26:30,510 +يكون عندك كتلة سالبة هنا في شحنة موجبة وشحنة سالبة + +370 +00:26:30,510 --> 00:26:33,030 +بيقول الموجب والسالب ليس لديه دعوة بال magnitude + +371 +00:26:33,030 --> 00:26:35,190 +انت لما دي بال magnitude ليس لديك دعوة بالسالب + +372 +00:26:35,190 --> 00:26:40,590 +والموجبهو attractive إذا بحدد direction ما زال انت + +373 +00:26:40,590 --> 00:26:44,690 +بدك magnitude هنا هنا بدك ال absolute values وهذه + +374 +00:26:44,690 --> 00:26:48,310 +مربع المسافر اللي بينهم إذا نفس القانون هدق مافيش + +375 +00:26:48,310 --> 00:26:53,850 +مشكلةR21 is the distance between the two charges + +376 +00:26:53,850 --> 00:26:58,310 +and K is the proportionality constant known as + +377 +00:26:58,310 --> 00:27:02,230 +Coulomb's constant بيسموه ثابت كولوم بيهمش ايش ما + +378 +00:27:02,230 --> 00:27:05,790 +يسموه يسموه اسمه ثابت كولوم احنا بنسميه ثابت اللي + +379 +00:27:05,790 --> 00:27:09,070 +هو المقدار هنديكميه و مش مطلوب منكم حافظه و + +380 +00:27:09,070 --> 00:27:16,790 +المقدار بيعتمد على الوحدةالقوة هي قوة و القوة هي + +381 +00:27:16,790 --> 00:27:20,910 +قيمة و القيمة هي قيمة و القيمة هي قيمة و القيمة هي + +382 +00:27:20,910 --> 00:27:22,970 +قيمة و القيمة هي قيمة و قيمة هي قيمة و قيمة هي + +383 +00:27:22,970 --> 00:27:24,290 +قيمة و قيمة هي قيمة و قيمة هي قيمة و قيمة هي قيمة + +384 +00:27:24,290 --> 00:27:24,410 +هي قيمة و قيمة هي قيمة و قيمة هي قيمة و قيمة هي + +385 +00:27:24,410 --> 00:27:25,850 +قيمة و قيمة هي قيمة و قيمة هي قيمة و قيمة هي قيمة + +386 +00:27:25,850 --> 00:27:30,670 +و قيمة هي قيمة و قيمة هي قيمة و قيمة هي قيمة و + +387 +00:27:30,670 --> 00:27:39,330 +قيمة هي قيمةإذا كانت الاتصالات متشابهة ومفيدة وإذا + +388 +00:27:39,330 --> 00:27:41,010 +كانت مختلفة + +389 +00:27:47,210 --> 00:27:52,550 +مقادرة الـ K لديها قيمة نميذية تعتمد على اختيار + +390 +00:27:52,550 --> 00:27:56,930 +المجموعات كي ثابت هذا مقداره بيعتمد على الوحدات + +391 +00:27:56,930 --> 00:28:00,170 +اللي بنستخدمها طبعا الوحدات الأصلية اللي بنستخدمها + +392 +00:28:00,170 --> 00:28:05,890 +هي ال SI unit system هذا هو مقدار عشان نشترين + +393 +00:28:05,890 --> 00:28:09,370 +بنقول ال SI unit of each charge is column حكيت عنه + +394 +00:28:09,370 --> 00:28:14,030 +انا و يبذل بالرمز capital C which is considered as + +395 +00:28:14,030 --> 00:28:19,420 +the fourth primary unit besideالوحدات الأساسية + +396 +00:28:19,420 --> 00:28:23,340 +اللي أخدناها في Z1000 متر و kilogram و second + +397 +00:28:23,340 --> 00:28:27,420 +مظبوط ولا لأ؟ حاجات في عندنا unit رابعة اللي هي ال + +398 +00:28:27,420 --> 00:28:31,280 +charge و هي ال column هناك mechanics هنا كهربية + +399 +00:28:31,280 --> 00:28:36,900 +تضعف إليها ال column مش مشكلة تمام in this system + +400 +00:28:36,900 --> 00:28:42,020 +في ال SI system K have a value of nine ten to + +401 +00:28:42,020 --> 00:28:46,700 +power nine تسعة في عشر أقصى تسعة الوحدة بتجيبها من + +402 +00:28:46,700 --> 00:28:53,420 +القانوننيوتن متر تربيع على كلهم تربيع نيوتن متر + +403 +00:28:53,420 --> 00:28:57,080 +تربيع على كلهم تربيع و الواحدة نجيبها من القانون + +404 +00:28:57,080 --> 00:29:01,120 +اللي انتوا عارفينه تمام هنا بعد الهاد كان في كلهم + +405 +00:29:01,120 --> 00:29:05,460 +و كلهم فصلت نيوتن متر تربيع على كلهم و كلهم تربيع + +406 +00:29:05,460 --> 00:29:10,560 +بعدها عشان نجيب ال K تمام columns constant is + +407 +00:29:10,560 --> 00:29:14,380 +usually written as ..الو صيغة تانية هذا K يكتب + +408 +00:29:14,380 --> 00:29:19,450 +بالعلاقة التالية مرة عليكمك بيساوي واحد على اربعة + +409 +00:29:19,450 --> 00:29:25,430 +باي ابسلون نوت هد كي بتساوي تسعة عشرة عصر تسعة + +410 +00:29:25,430 --> 00:29:29,690 +وبتساوي واحد على اربعة ابسلون نوت اربعة باي اربعة + +411 +00:29:29,690 --> 00:29:33,930 +عارفينها وال باي كلكم عارفينها ابسلون نوت هد شباب + +412 +00:29:33,930 --> 00:29:38,410 +ثابت اخر برضه الناس محفظه ال numerical valueمع الـ + +413 +00:29:38,410 --> 00:29:44,950 +Epsilon Note بسوء 8.85% في 10 أغسل بـ 12 إيش هو؟ و + +414 +00:29:44,950 --> 00:29:50,390 +إيش وحدته؟ أولا إيش هو لقطة بال K كوحدة؟ مقلوبة + +415 +00:29:50,390 --> 00:29:54,730 +إذا المفروض يكون كولوم تربيع على نيوتمتر تربيع ولا + +416 +00:29:54,730 --> 00:30:00,170 +لا إذا نهاية وحدته طب الشيء هذي هذي بيسموها ال + +417 +00:30:00,170 --> 00:30:04,750 +permittivity of free space ثابت النفاذية الكهربية + +418 +00:30:04,750 --> 00:30:09,910 +للفراقثابت المفاذية الكهربائية permativity جاية من + +419 +00:30:09,910 --> 00:30:14,950 +كلمة permit يسمح او ينفذ permativity of a free + +420 +00:30:14,950 --> 00:30:18,070 +space هذا ثابت هيمر علينا برضه ال epsilon note + +421 +00:30:18,070 --> 00:30:23,270 +كثابت من ثابت ف one over four by epsilon note هو + +422 +00:30:23,270 --> 00:30:27,490 +ال K هو columns constant واضح شباب؟ هذه برضه كل + +423 +00:30:27,490 --> 00:30:30,660 +هذه المعلومات بتتجمع عندنا مافيش عندها مشكلةهذا + +424 +00:30:30,660 --> 00:30:34,800 +الـ S.I. System الـ S.I. System اللي هنستخدمه + +425 +00:30:34,800 --> 00:30:38,580 +through all our book في ال system التاني اللي هو + +426 +00:30:38,580 --> 00:30:42,960 +الـ CGS System أو الـ Gaussian System هذا ي charge + +427 +00:30:42,960 --> 00:30:49,940 +وحدتها Stethocolome او بيسموها electrostatic unit + +428 +00:30:49,940 --> 00:30:53,060 +ESU + +429 +00:30:53,060 --> 00:30:57,000 +ماهي دعوة مش هنستخدمها كتير هذا بالعلمفي هذا ال + +430 +00:30:57,000 --> 00:31:00,960 +system في ال Gaussian system شباب K بصير مقدارها + +431 +00:31:00,960 --> 00:31:04,820 +واحد ومالهاش وحدات بصير عشان كده في بعض الكتب + +432 +00:31:04,820 --> 00:31:08,440 +المتقدمة بحبوا يستخدموا هذا ال system لسهولة ال + +433 +00:31:08,440 --> 00:31:12,140 +units عندهم بصير في بعض ثوابت متساوي واحد برا يحوا + +434 +00:31:12,140 --> 00:31:16,040 +حالهم أهلا مش هنستخدموا هذا هنستخدم ال SI system و + +435 +00:31:16,040 --> 00:31:19,620 +ال K بتساوي 9 في 10 ربما 9 و بتساوي 1 على أربع + +436 +00:31:19,620 --> 00:31:23,240 +أبائي Epsilon العادي هذا بس مجرد للعلم + +437 +00:31:26,910 --> 00:31:29,430 +أحنا جيبنا ال magnitude تبع ال force و ال + +438 +00:31:29,430 --> 00:31:33,350 +direction نجيبه من ال attractive و ال repulsive + +439 +00:31:33,350 --> 00:31:38,370 +لكن ممكن نكتب قانون كلوم ك vector form يجيبلي + +440 +00:31:38,370 --> 00:31:41,870 +الاتجاه و المقدار و خلاص و أنا مغمض لأ أطلع + +441 +00:31:41,870 --> 00:31:44,910 +attractive و لا repulsive أعود تعويض مباشر تطلع + +442 +00:31:44,910 --> 00:31:49,230 +عند الاتجاه و ال magnitude in vector form columns + +443 +00:31:49,230 --> 00:31:54,550 +law can be written as هاي أف حطت اتجاه هرجت مافيش + +444 +00:31:54,550 --> 00:32:00,160 +ال absolute valueكيكي والمقام مقام هنا بطل في + +445 +00:32:00,160 --> 00:32:02,820 +absolute values لأنه أنا بدي ال direction و + +446 +00:32:02,820 --> 00:32:07,140 +المagnitude بنفس اللحظة عشان هذا vector لازم الطرف + +447 +00:32:07,140 --> 00:32:12,520 +الآخر من المعادل يكون vector هذا scalar هذا q + +448 +00:32:12,520 --> 00:32:17,440 +scalar وهذا distance scalar إذا إيش بدي أحط؟ بدي + +449 +00:32:17,440 --> 00:32:21,660 +أحط unit vector فهذا unit vector ذاكرين ال I والJ؟ + +450 +00:32:22,070 --> 00:32:26,430 +أخدنا ال I و قلنا I directed along the positive x + +451 +00:32:26,430 --> 00:32:31,430 +axis و J directed along the positive y axis فى + +452 +00:32:31,430 --> 00:32:34,770 +عندى unit vector أخر أخدناه في ال circular motion + +453 +00:32:34,770 --> 00:32:38,850 +اللى هو ال R directed along the radius صح ولا لأ؟ + +454 +00:32:39,290 --> 00:32:44,230 +تمام و ال radius ميزته انه بيلف و يلف مرة بيكون + +455 +00:32:44,230 --> 00:32:46,770 +سيني و مرة بيكون صاضي و مرة بيكون لا هو سيني ولا + +456 +00:32:46,770 --> 00:32:51,210 +هو صاضي فهذا ال R بنحطه لأنه لما يكون الشحنكين هيك + +457 +00:32:51,210 --> 00:32:55,590 +شباب بتكون ال R unit vector سينية ولا لا لا سيني + +458 +00:32:55,590 --> 00:32:59,470 +مجرد لا سيني سالب لو كان الشحن هنا القوة بين هدوك + +459 +00:32:59,470 --> 00:33:02,710 +بيكون صاضي لكن عندما يكون الشحن هنا لاهي سيني ولا + +460 +00:33:02,710 --> 00:33:09,400 +صاضي صح ولا لا فبحطه R و لما يروح R يروح تمامالان + +461 +00:33:09,400 --> 00:33:13,640 +هيكيو اتنين وهيكيو واحد المسافة اللي بينهم r اتنين + +462 +00:33:13,640 --> 00:33:16,680 +واحد زي ما انتوا شايفيني لا هي سينية ولا هي صادية + +463 +00:33:16,680 --> 00:33:21,200 +in between the y axis and the x axis بالتالي + +464 +00:33:21,200 --> 00:33:24,860 +الاتجاه تبقى هيك فهذه بسموه باتجاه ال R يعني ال + +465 +00:33:24,860 --> 00:33:28,100 +unit vector باتجاه ال R تمام هتجيه الشباب يطلعوا + +466 +00:33:28,100 --> 00:33:33,000 +على القانون لو كان الشحنتين موجبات الجواب موجب ولا + +467 +00:33:33,000 --> 00:33:38,070 +سالبولو كان الشحنتين سالبات، التنتين، الجواب موجب. + +468 +00:33:38,210 --> 00:33:42,550 +طيب، لما يقول موجبات التنتين القوة تنافورية، صح؟ + +469 +00:33:42,550 --> 00:33:45,370 +ولو كانوا التنتين سالبات، برضه تنافورية، يعني + +470 +00:33:45,370 --> 00:33:48,750 +الاتجاه ما اتغيرش، القانون جابها. طيب، لو كانت + +471 +00:33:48,750 --> 00:33:51,490 +واحدة موجبة وواحدة سالبة، إيش بيصير الجواب؟ سالب. + +472 +00:33:51,930 --> 00:33:54,490 +والسالب لما يفوت على ال unit vector، إيش بيسوي فيه + +473 +00:33:54,490 --> 00:33:57,570 +في ال vector؟ بيعكس اتجاهه، بعد ما هو تنافر، إيش + +474 +00:33:57,570 --> 00:34:00,950 +بيصير؟ تجاذبي، إذا هذا القانون بيجيبليه تنافريا أو + +475 +00:34:00,950 --> 00:34:04,720 +تجاذبيايعني بمعنى آخر، لو كانت تنتين هدول مجبات، + +476 +00:34:04,720 --> 00:34:08,760 +هي الاتجاه على Q1، لو كانوا Q2 وQ1 سالبات، هي + +477 +00:34:08,760 --> 00:34:11,640 +الاتجاه، لو واحدة منها واحد سالباش، بتصير بالعكس + +478 +00:34:11,640 --> 00:34:15,000 +لك، بتصير تجاذبية، صح أو لا؟ وهذا القانون بيجيبها + +479 +00:34:15,000 --> 00:34:20,000 +R21 زي ما هي مبينة في الرسمة، is a unit vector + +480 +00:34:20,000 --> 00:34:23,640 +directed from Q2 لQ1، اتجاه الأخضر اللي شايفينه + +481 +00:34:23,640 --> 00:34:28,170 +السهم، هذا اتجاه ال unit vectorيجب أن نلاحظ أن + +482 +00:34:28,170 --> 00:34:34,550 +القوة الكهربائية تشبه شكل + +483 +00:34:34,550 --> 00:34:37,690 +هذا الشكل و لا لا شباب واضح أن الشكل تشبه هذا + +484 +00:34:37,690 --> 00:34:44,610 +الشكل إذا كانت القوة الكهربائية محفوظة و ما زال + +485 +00:34:44,610 --> 00:34:50,380 +القوة الكهربية تشبهها كشكل غياضيبقدر اقول ان قوة + +486 +00:34:50,380 --> 00:34:55,060 +الكهرباية كوه محافظة اذا الان المعلومة اللي عندي + +487 +00:34:55,060 --> 00:34:59,760 +ان القوة الكهرباية شباب قوة محافظة لان شباب انتوا + +488 +00:34:59,760 --> 00:35:02,000 +عارفين القوة المحافظة احنا ايش اثبتناها كيف + +489 +00:35:02,000 --> 00:35:06,140 +اثبتناها؟ قولنا ان ال work تبح لا يعتمد على المسار + +490 +00:35:06,140 --> 00:35:12,000 +و ال work عبارة عن قوة Dot DS مع إزاحة Dot و Dot + +491 +00:35:12,760 --> 00:35:17,600 +إذا الـDS ماهي DS إذاها ماتغيرتش إذا القوة كشكل + +492 +00:35:17,600 --> 00:35:22,040 +بتشبه تلت القوة الجاذب لها إذا المفروض يكون نفس + +493 +00:35:22,040 --> 00:35:25,500 +القضية لإن أنا بعمل product و بجيب work إذا نجيت + +494 +00:35:25,500 --> 00:35:28,300 +ال work اللي هي أتمد على المصاد إذا مجرد عنها قوة + +495 +00:35:28,300 --> 00:35:32,900 +محافظة طبعا في ال calculus في طريقة أخرى لإثبات إن + +496 +00:35:32,900 --> 00:35:36,680 +هذا ال function conservative بجيب ال care في حد ما + +497 +00:35:36,680 --> 00:35:42,110 +أخد ال calculus معاياأحسن في حاجة بسموها care تبع + +498 +00:35:42,110 --> 00:35:46,550 +ال vector إذا أنا هذا ال care أو بسموه حاجة زي هيك + +499 +00:35:48,790 --> 00:35:52,050 +اذا هذا سوا سفر بقول عنه conservative هذا طريقة + +500 +00:35:52,050 --> 00:35:54,770 +أخرى بالتالي بيعتمد على ال function اللي كان ما + +501 +00:35:54,770 --> 00:35:59,110 +زال ال function واحد اذا بتوقع انه بالتناظر ما زال + +502 +00:35:59,110 --> 00:36:02,670 +هذه القوة conservative اذا القوة الكهربائية ايضا + +503 +00:36:02,670 --> 00:36:06,270 +conservative لأنها لنفس ال form ك function بس مجرد + +504 +00:36:06,270 --> 00:36:09,610 +بدي ال X حطت Y ولا بدي ال X حطت U يعني مجرد تغيير + +505 +00:36:09,610 --> 00:36:13,490 +رموز بدي ال M حطت Q مافيش تغيير ك function + +506 +00:36:13,490 --> 00:36:16,750 +وبالتالي انا بدي أستنتج الآن شباب ان القوة + +507 +00:36:16,750 --> 00:36:20,920 +الكهربائية conservativeالأن لدينا ثلاثة قوات + +508 +00:36:20,920 --> 00:36:26,920 +محافظة .. قوة السحر أو قوة الشمس .. ذاكرينهم اتنين + +509 +00:36:26,920 --> 00:36:30,980 +هدول؟ الثالث هو القوة الإلكترونية .. هي قوة محافظة + +510 +00:36:30,980 --> 00:36:37,720 +.. تمام .. تمام .. لو في عندي شحنتين بقدر أجيب + +511 +00:36:37,720 --> 00:36:41,480 +القوة .. طب لو عندي خمس شحنات و بدك القوة على شحنة + +512 +00:36:41,480 --> 00:36:45,470 +معينة .. ايش بدي أسوي؟عشان اجيب هى بتتأثر بس بشحنه + +513 +00:36:45,470 --> 00:36:48,570 +ولا بتتأثر باربع شحنات اللى حوالها؟ باربع شحنات + +514 +00:36:48,570 --> 00:36:52,030 +لإن هى محوطة بشحنات كتيرة كيف يجيب القوة اللى + +515 +00:36:52,030 --> 00:36:55,330 +عليها؟ جالبى واحدة واحدة جيب القوة من الأولى و + +516 +00:36:55,330 --> 00:36:57,450 +القوة من التانية و القوة من التالتة و القوة من + +517 +00:36:57,450 --> 00:37:01,790 +الرابعة بعدين اجمعهابس بتجمع vectors ولا scalars؟ + +518 +00:37:01,790 --> 00:37:07,930 +vectors a three plus four may be five not seven صح + +519 +00:37:07,930 --> 00:37:11,610 +ولا لأ؟ تلاتة وأربعة ما هو السبعة بالضرورة ممكن + +520 +00:37:11,610 --> 00:37:15,470 +يطلع خمسة لو واحدة سنية لو واحدة صادية في فيفا + +521 +00:37:15,470 --> 00:37:19,090 +وورس بتطلعلي خمسة تلاتة وأربعة وبالتالي الجمع + +522 +00:37:19,090 --> 00:37:23,310 +عشانك تتعامل مع vectors بيكون vector sum فقولي if + +523 +00:37:23,310 --> 00:37:25,930 +there are more than two charges + +524 +00:37:28,500 --> 00:37:37,180 +الجمع الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +525 +00:37:37,180 --> 00:37:38,960 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +526 +00:37:38,960 --> 00:37:39,580 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +527 +00:37:39,580 --> 00:37:39,700 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +528 +00:37:39,700 --> 00:37:39,780 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +529 +00:37:39,780 --> 00:37:39,820 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +530 +00:37:39,820 --> 00:37:41,980 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +531 +00:37:41,980 --> 00:37:45,890 +الاتجاهبقول for example if we have three charges + +532 +00:37:45,890 --> 00:37:50,010 +then the net force on particle one due to the + +533 +00:37:50,010 --> 00:37:53,490 +other two particles is given as بيصير عندك F واحد + +534 +00:37:53,490 --> 00:37:59,560 +بيسوي F اتنين واحد و F تلاتة واحدو اقفل على واحد + +535 +00:37:59,560 --> 00:38:02,920 +من تلاتة اجمعهم ك vectors بتطلع عندك القوة + +536 +00:38:02,920 --> 00:38:07,740 +الإجمالية وهذا مثال عملناه على ال masses برضه شغله + +537 +00:38:07,740 --> 00:38:11,380 +سهلة ان انا بديب واحدة واحدة بديب الاتجاه و بديب + +538 +00:38:11,380 --> 00:38:14,700 +ال magnitude و بعدين الفيديو تحليل بحلله و بكتبه ك + +539 +00:38:14,700 --> 00:38:19,320 +vector بدلية ال I و ال Jوبجمعهم زي ما أخدنا في + +540 +00:38:19,320 --> 00:38:23,300 +chapter one in physics a a plus b كيف بدي أجمع two + +541 +00:38:23,300 --> 00:38:26,680 +vectors و هنا بدي أجمع two vectors the first force + +542 +00:38:26,680 --> 00:38:31,080 +and the second force و في عندي أكتر بضم ماشي معاهم + +543 +00:38:31,080 --> 00:38:38,710 +بهذا الكميةيقول remember that the electric force + +544 +00:38:38,710 --> 00:38:44,010 +obeys Newton's third law دائما القوة اللي انطبق + +545 +00:38:44,010 --> 00:38:47,530 +عليها قوانين نيوتن التلاتة شباب the first law the + +546 +00:38:47,530 --> 00:38:52,630 +second law and the third lawإنه يقول فئرات فئر + +547 +00:38:52,630 --> 00:38:55,890 +مسوء له في المقدار ومضاد له في الاتجاه إذا معناته + +548 +00:38:55,890 --> 00:39:02,410 +هي Q1 وQ2 إذا Q1 تتأثر بQ2 لابد إن Q2 تتأثر بQ1 + +549 +00:39:02,410 --> 00:39:10,050 +بنفس القوة بس اتجاه معاكس F21 وهي F1 واحد عكس + +550 +00:39:10,050 --> 00:39:15,690 +التانية لو Q1 عشرة وQ2 خمسة معناته القوة الأولى + +551 +00:39:15,690 --> 00:39:21,060 +بتكون أكبر من التانية؟لأ لازم متساويات بغض العذر + +552 +00:39:21,060 --> 00:39:24,700 +عن مقدار الشحنات انا مرات كتير بدي بال quizzes انه + +553 +00:39:24,700 --> 00:39:28,120 +انا عندى two charges واحدة عشرة وواحدة خمسة بقولك + +554 +00:39:28,120 --> 00:39:31,520 +اللى بتأثر على العشرة من الخمسة عشرة نيوتين طيب + +555 +00:39:31,520 --> 00:39:35,380 +اذا اللى بتأثر على الخمسة من العشرة عشرة ولا خمسة + +556 +00:39:35,380 --> 00:39:39,880 +ولا عشرين عشرة بس الاتجاه بيكون معاكس اذا ملاكش + +557 +00:39:39,880 --> 00:39:44,100 +دعوة بالمقدار لازم يكون القوتين متساوياتين in + +558 +00:39:44,100 --> 00:39:49,250 +magnitude and opposite in directionيعني F21 + +559 +00:39:49,250 --> 00:39:54,130 +بالسوية السالب بقى F12 والسالب هذا بيعني opposite + +560 +00:39:54,130 --> 00:39:57,990 +in direction لكن المساواة يعني in magnitude they + +561 +00:39:57,990 --> 00:40:02,860 +are equal وهذا نيوتن التالت اللي موجود عندناأخر + +562 +00:40:02,860 --> 00:40:07,140 +حاجة هنتعامل معها بيقول ليه؟ Columns law applies + +563 +00:40:07,140 --> 00:40:11,360 +only for pointed charges هذا قانون كلهم الحط عشان + +564 +00:40:11,360 --> 00:40:13,920 +ينطبق فقط على ال pointed charges ايش يعني pointed + +565 +00:40:13,920 --> 00:40:18,760 +charge؟ يعني حجمها بحجم النقطة ليش المشكلة بتصير؟ + +566 +00:40:18,760 --> 00:40:21,900 +يقول لي لما يكون نقطة و نقطة بفي درجة بالمسافة + +567 +00:40:21,900 --> 00:40:27,420 +شباب من هالهال لكن لو جالك في عندك قرة و في عندك + +568 +00:40:27,420 --> 00:40:32,740 +خلينا نقول ورقة زي هيكهذه مشحونة وهذه مشحونة واحد + +569 +00:40:32,740 --> 00:40:36,660 +قال لك او جد ال force لما تجيب تجيب المسافة و اين + +570 +00:40:36,660 --> 00:40:40,180 +تجيب المسافة؟ تجيب من ها لها ولا من ها لها ولا من + +571 +00:40:40,180 --> 00:40:44,440 +ها لها؟ مائة مسافة فيه صح ولا لا؟ اذا هذا القانون + +572 +00:40:44,440 --> 00:40:48,840 +لا ينطبق الا ع ال pointed charges طب كيف يتعامل مع + +573 +00:40:48,840 --> 00:40:52,680 +حده؟ هو يخيّر لما نصرها بفرج رب العالمين في عندي + +574 +00:40:52,680 --> 00:40:55,760 +معاملة ان اجسم الشحنة و اتعامل معها زي ما اتعاملت + +575 +00:40:55,760 --> 00:40:59,900 +مع فيزي ألف و اتعامل بعدين أكمل و أجمع وشغلات زي + +576 +00:40:59,900 --> 00:41:06,890 +هيكفهذا هو الآن اللي احنا عندنا إياه طبعا المرة + +577 +00:41:06,890 --> 00:41:11,870 +الجاية يا شباب هنبدأ بالأمثلة الحقيقية اللي منها + +578 +00:41:11,870 --> 00:41:16,770 +أو زيها بنحل أسئلة الآن احنا أخدنا المقدمة + +579 +00:41:16,770 --> 00:41:22,470 +الأولانية مقدمة كتير سهلة قانون كلوم عرفناهكيف + +580 +00:41:22,470 --> 00:41:27,290 +اتعامل معاه حقيقة هكون في المحاضرة الجاية طبعا + +581 +00:41:27,290 --> 00:41:30,570 +احنا وجدنا المفروض يخلص 11 لربع اليوم بلعنا منكم + +582 +00:41:30,570 --> 00:41:34,850 +عشر دقائق عشان ال .. الوجهة اللي أكلوه منهم عن + +583 +00:41:34,850 --> 00:41:38,350 +التصوير فبهمش المرة الجاية ان شاء الله تسعة و نص + +584 +00:41:38,350 --> 00:41:40,510 +بنخلص 11 لربع و يعطيكوا العافية + diff --git 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{"start": 1564.04, "end": 1564.56, "word": " magnitude", "probability": 0.96044921875}, {"start": 1564.56, "end": 1565.0, "word": " انص", "probability": 0.6533203125}, {"start": 1565.0, "end": 1565.08, "word": " ال", "probability": 0.275634765625}, {"start": 1565.08, "end": 1565.5, "word": " direction", "probability": 0.89404296875}, {"start": 1565.5, "end": 1565.92, "word": " ال", "probability": 0.865234375}, {"start": 1565.92, "end": 1566.26, "word": " direction", "probability": 0.93701171875}, {"start": 1566.26, "end": 1566.86, "word": " بيحدده", "probability": 0.91201171875}, {"start": 1566.86, "end": 1567.26, "word": " repulsive", "probability": 0.7108154296875}, {"start": 1567.26, "end": 1567.56, "word": " or", "probability": 0.7119140625}, {"start": 1567.56, "end": 1568.06, "word": " attractive", "probability": 0.88330078125}, {"start": 1568.06, "end": 1568.68, "word": " بعدين", "probability": 0.8359375}, {"start": 1568.68, "end": 1568.98, "word": " بنحكي", "probability": 0.8797607421875}, {"start": 1568.98, "end": 1569.42, "word": " عنه", "probability": 0.978271484375}, {"start": 1569.42, "end": 1570.24, "word": " بساوي", "probability": 0.7286376953125}, {"start": 1570.24, "end": 1570.86, "word": " K", "probability": 0.787109375}, {"start": 1570.86, "end": 1571.8, "word": " ثابت", "probability": 0.97802734375}, {"start": 1571.8, "end": 1572.36, "word": " التناسب", "probability": 0.8738606770833334}, {"start": 1572.36, "end": 1572.84, "word": " بدي", "probability": 0.802001953125}, {"start": 1572.84, "end": 1572.98, "word": " ال", "probability": 0.654296875}, {"start": 1572.98, "end": 1573.22, "word": " capital", "probability": 0.8994140625}, {"start": 1573.22, "end": 1573.48, "word": " G", "probability": 0.8984375}, {"start": 1573.48, "end": 1574.06, "word": " هناك", "probability": 0.99365234375}, {"start": 1574.06, "end": 1574.72, "word": " الثابت", "probability": 0.86083984375}, {"start": 1574.72, "end": 1574.98, "word": " K", "probability": 0.85498046875}], "temperature": 1.0}, {"id": 61, "seek": 159561, "start": 1575.65, "end": 1595.61, "text": "بديل M1 في M2 وحطينا Q1 وQ2 وفي مراعر وحطينا absolute values هناك مستحيل يكون عندك كتلة سالبة هنا في شحنة موجبة وشحنة سالبة بيقول الموجب والسالب ليس لديه دعوة بال magnitude انت لما دي بال magnitude ليس لديك دعوة بالسالب والموجب", "tokens": [3555, 16254, 1211, 376, 16, 8978, 376, 17, 4032, 5016, 9566, 1829, 8315, 1249, 16, 4032, 48, 17, 4032, 41185, 3714, 23557, 3615, 2288, 4032, 5016, 9566, 1829, 8315, 8236, 4190, 34105, 4117, 3714, 14851, 5016, 26895, 7251, 30544, 43242, 4117, 9122, 2655, 37977, 8608, 6027, 49401, 34105, 8978, 13412, 5016, 1863, 3660, 3714, 29245, 49401, 4032, 8592, 5016, 1863, 3660, 8608, 6027, 49401, 4724, 1829, 39648, 9673, 29245, 3555, 16070, 3794, 6027, 3555, 32239, 3794, 5296, 16254, 3224, 11778, 3615, 2407, 3660, 20666, 15668, 16472, 2655, 5296, 15042, 11778, 1829, 20666, 15668, 32239, 3794, 5296, 16254, 4117, 11778, 3615, 2407, 3660, 20666, 3794, 6027, 3555, 16070, 2304, 29245, 3555], "avg_logprob": -0.3305180276836361, "compression_ratio": 1.8465346534653466, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1575.65, "end": 1576.07, "word": "بديل", "probability": 0.3157958984375}, {"start": 1576.07, "end": 1576.47, "word": " M1", "probability": 0.79638671875}, {"start": 1576.47, "end": 1576.61, "word": " في", "probability": 0.4658203125}, {"start": 1576.61, "end": 1576.99, "word": " M2", "probability": 0.989990234375}, {"start": 1576.99, "end": 1577.35, "word": " وحطينا", "probability": 0.748486328125}, {"start": 1577.35, "end": 1577.75, "word": " Q1", "probability": 0.773193359375}, {"start": 1577.75, "end": 1578.41, "word": " وQ2", "probability": 0.8448893229166666}, {"start": 1578.41, "end": 1578.93, "word": " وفي", "probability": 0.82470703125}, {"start": 1578.93, "end": 1579.43, "word": " مراعر", "probability": 0.630859375}, {"start": 1579.43, "end": 1579.79, "word": " وحطينا", "probability": 0.823828125}, {"start": 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{"start": 1589.73, "end": 1590.07, "word": " وشحنة", "probability": 0.91259765625}, {"start": 1590.07, "end": 1590.51, "word": " سالبة", "probability": 0.9759114583333334}, {"start": 1590.51, "end": 1591.15, "word": " بيقول", "probability": 0.6700846354166666}, {"start": 1591.15, "end": 1591.55, "word": " الموجب", "probability": 0.9441731770833334}, {"start": 1591.55, "end": 1591.99, "word": " والسالب", "probability": 0.7503662109375}, {"start": 1591.99, "end": 1592.15, "word": " ليس", "probability": 0.6021728515625}, {"start": 1592.15, "end": 1592.29, "word": " لديه", "probability": 0.67529296875}, {"start": 1592.29, "end": 1592.47, "word": " دعوة", "probability": 0.869140625}, {"start": 1592.47, "end": 1592.59, "word": " بال", "probability": 0.88330078125}, {"start": 1592.59, "end": 1593.03, "word": " magnitude", "probability": 0.27294921875}, {"start": 1593.03, "end": 1593.63, "word": " انت", "probability": 0.694091796875}, {"start": 1593.63, "end": 1593.77, "word": " لما", "probability": 0.784912109375}, {"start": 1593.77, "end": 1593.87, "word": " دي", "probability": 0.580810546875}, {"start": 1593.87, "end": 1593.97, "word": " بال", "probability": 0.150146484375}, {"start": 1593.97, "end": 1594.27, "word": " magnitude", "probability": 0.95947265625}, {"start": 1594.27, "end": 1594.41, "word": " ليس", "probability": 0.5726318359375}, {"start": 1594.41, "end": 1594.57, "word": " لديك", "probability": 0.8909505208333334}, {"start": 1594.57, "end": 1594.83, "word": " دعوة", "probability": 0.9827880859375}, {"start": 1594.83, "end": 1595.19, "word": " بالسالب", "probability": 0.751708984375}, {"start": 1595.19, "end": 1595.61, "word": " والموجب", "probability": 0.81207275390625}], "temperature": 1.0}, {"id": 62, "seek": 160887, "start": 1597.91, "end": 1608.87, "text": "هو attractive إذا بحدد direction ما زال انت بدك magnitude هنا هنا بدك ال absolute values وهذه مربع المسافر اللي بينهم إذا نفس القانون هدق مافيش مشكلة", "tokens": [3224, 2407, 12609, 11933, 15730, 4724, 24401, 3215, 3513, 19446, 30767, 6027, 16472, 2655, 47525, 4117, 15668, 34105, 34105, 47525, 4117, 2423, 8236, 4190, 37037, 24192, 3714, 25513, 3615, 9673, 3794, 31845, 2288, 13672, 1829, 49374, 16095, 11933, 15730, 8717, 36178, 25062, 7649, 11536, 8032, 3215, 4587, 19446, 41185, 8592, 37893, 28820, 3660], "avg_logprob": -0.3275462874659785, "compression_ratio": 1.4024390243902438, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1597.91, "end": 1597.97, "word": "هو", "probability": 0.5528564453125}, {"start": 1597.97, "end": 1598.43, "word": " attractive", "probability": 0.35205078125}, {"start": 1598.43, "end": 1598.81, "word": " إذا", "probability": 0.5225830078125}, {"start": 1598.81, "end": 1599.19, "word": " بحدد", "probability": 0.703125}, {"start": 1599.19, "end": 1599.73, "word": " direction", "probability": 0.227783203125}, {"start": 1599.73, "end": 1600.17, "word": " ما", "probability": 0.416015625}, {"start": 1600.17, "end": 1600.35, "word": " زال", "probability": 0.957763671875}, {"start": 1600.35, "end": 1600.59, "word": " انت", "probability": 0.599853515625}, {"start": 1600.59, "end": 1601.01, "word": " بدك", "probability": 0.78271484375}, {"start": 1601.01, "end": 1601.51, "word": " magnitude", "probability": 0.6240234375}, {"start": 1601.51, "end": 1602.03, "word": " هنا", "probability": 0.9912109375}, {"start": 1602.03, "end": 1602.53, "word": " هنا", "probability": 0.3740234375}, {"start": 1602.53, "end": 1602.87, "word": " بدك", "probability": 0.839111328125}, {"start": 1602.87, "end": 1602.95, "word": " ال", "probability": 0.740234375}, {"start": 1602.95, "end": 1603.33, "word": " absolute", "probability": 0.92041015625}, {"start": 1603.33, "end": 1603.93, "word": " values", "probability": 0.81298828125}, {"start": 1603.93, "end": 1604.69, "word": " وهذه", "probability": 0.715576171875}, {"start": 1604.69, "end": 1605.07, "word": " مربع", "probability": 0.94189453125}, {"start": 1605.07, "end": 1605.53, "word": " 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System الـ S.I. System اللي هنستخدمه through all our book في ال system التاني اللي هو الـ CGS System أو الـ Gaussian System هذا ي charge وحدتها Stethocolome او بيسموها electrostatic unit ESU ماهي دعوة مش هنستخدمها كتير هذا بالعلم", "tokens": [3224, 15730, 2423, 39184, 318, 13, 40, 13, 8910, 2423, 39184, 318, 13, 40, 13, 8910, 13672, 1829, 8032, 1863, 14851, 9778, 40448, 3224, 807, 439, 527, 1446, 8978, 2423, 1185, 16712, 7649, 1829, 13672, 1829, 31439, 2423, 39184, 383, 24446, 8910, 34051, 2423, 39184, 39148, 8910, 23758, 7251, 4602, 4032, 24401, 2655, 11296, 745, 3293, 4154, 423, 1975, 2407, 4724, 1829, 38251, 2407, 11296, 7072, 555, 2399, 4985, 12564, 52, 19446, 3224, 1829, 11778, 3615, 2407, 3660, 37893, 8032, 1863, 14851, 9778, 40448, 11296, 9122, 2655, 13546, 23758, 20666, 3615, 19528], "avg_logprob": -0.32510079619705035, "compression_ratio": 1.6095238095238096, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1830.34, "end": 1830.66, "word": "هذا", "probability": 0.904541015625}, 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اثنين فعلا الان الاختيار على أساس انه التقييمفيه + +14 +00:01:07,610 --> 00:01:10,430 +من الطالب المعلومات الأساسية اللي انا بديها في صغر + +15 +00:01:10,430 --> 00:01:15,010 +طالب لنوم، اللي هي كل مسافر، كل شطة، يهدف، أنا بدي + +16 +00:01:15,010 --> 00:01:18,850 +.. هدف معين من هدف الشطة، بدي بعض المثالين في صغر + +17 +00:01:18,850 --> 00:01:22,550 +الطالب يقولها، هذه الأسئلة بتقيص هذه المثالين، في + +18 +00:01:22,550 --> 00:01:26,050 +امتحان برضه أنا بتقيص أي من المثالين، فأرتد عليها، + +19 +00:01:26,050 --> 00:01:28,870 +وبالتالي الأسئلة اللي بيبقوش ملايين شطون، بيكونوا + +20 +00:01:28,870 --> 00:01:32,370 +شغلات مفارقة في الناسو احنا نركز عليها أفضل و + +21 +00:01:32,370 --> 00:01:36,890 +بنكررها عدة مرات زي ما نتكلم عنه 65 مرات من الكتاب + +22 +00:01:36,890 --> 00:01:40,550 +فيه أكتر من 70 سؤال احنا اتفضنا هذه الأسئلة و هاني + +23 +00:01:40,550 --> 00:01:44,170 +أتوقع عنهم و موجودة على صفحته على يوتيوب حكوم + +24 +00:01:44,170 --> 00:01:50,590 +متولدة في أكتر من المكان تمام، في 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نوكيا بلقوا حوالين القطنات هذا أصل المادة + +36 +00:02:50,780 --> 00:02:55,710 +إذا الكعربية أصلها هي المادةعُرّفك على أن الوزونات + +37 +00:02:55,710 --> 00:03:00,350 +تحمل شحنات ساقية وعُرّفك الوزونات على أنها تحمل + +38 +00:03:00,350 --> 00:03:06,200 +شحنات ودب، بالتاليالمعلومة برضه اللي بيتبقى ان الـ + +39 +00:03:06,200 --> 00:03:09,880 +DNA بتتشارد فوق نفس الأكترون قلبهم بتتشارد فوق + +40 +00:03:09,880 --> 00:03:15,140 +أكترون هجتين مجنونين يوجة شحنة الأكترون مع أنها + +41 +00:03:15,140 --> 00:03:18,220 +مجنون ساعدة و شحنة البروتول مع أنها موجة بقى + +42 +00:03:18,220 --> 00:03:22,860 +تنفذهم إلى إنهم يحملوا نفس المقداة إنهم نفس + +43 +00:03:22,860 --> 00:03:31,220 +المقداة والمقداة هذا وجدت إلى نساوة 1.610⁻19 كولو + +44 +00:03:31,220 --> 00:03:36,560 +كولو جمالها اللي هي وحدة الـCharge أول إنجليزية + +45 +00:03:36,560 --> 00:03:42,760 +حفرة علينا هي الـCharge الـS.I. unit of charge is + +46 +00:03:42,760 --> 00:03:47,220 +كولو احنا عارفين ان هم فيه system مختلفة الـS.I. + +47 +00:03:47,380 --> 00:03:51,220 +والجامعة هنا من البرتجال الـB.H. اللي معتمد علنا + +48 +00:03:51,220 --> 00:03:54,920 +هو الـS.I. system قبل دور المقال كتير الـUnit of + +49 +00:03:54,920 --> 00:04:00,310 +charge in the S.I. system isCologne ورمزة بحث هذه + +50 +00:04:00,310 --> 00:04:03,970 +كانت سنة إذا هذا المفضل وانت ممكن تسكت بقى وانت + +51 +00:04:03,970 --> 00:04:04,830 +ممكن تسكت بقى وانت ممكن تسكت بقى وانت ممكن تسكت + +52 +00:04:04,830 --> 00:04:06,450 +بقى وانت ممكن تسكت بقى وانت ممكن تسكت بقى وانت + +53 +00:04:06,450 --> 00:04:07,010 +ممكن تسكت بقى وانت ممكن تسكت بقى وانت ممكن تسكت + +54 +00:04:07,010 --> 00:04:10,130 +بقى وانت ممكن تسكت بقى وانت ممكن تسكت بقى وانت + +55 +00:04:10,130 --> 00:04:11,650 +ممكن تسكت بقى وانت ممكن تسكت بقى وانت ممكن تسكت + +56 +00:04:11,650 --> 00:04:27,010 +بقى وانت ممكن تسكت بقى وانت ممكن تسكت بقى وانت + +57 +00:04:27,010 --> 00:04:32,120 +ممكن تسكتمثال هي إذا كان عدد البروتونات عالمي لجيب + +58 +00:04:32,120 --> 00:04:35,820 +كورة البروتونات السماوية في أي مادة وهو لا يوارو + +59 +00:04:35,820 --> 00:04:40,020 +القصيدة، معناته ان جسم الجمهور يحب الناس اللي + +60 +00:04:40,020 --> 00:04:42,000 +يتعرف عليها ويتعرف عليها البروتونات، تعالوا، + +61 +00:04:42,000 --> 00:04:43,580 +تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، + +62 +00:04:43,580 --> 00:04:44,680 +تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، + +63 +00:04:44,680 --> 00:04:45,180 +تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، + +64 +00:04:45,180 --> 00:04:45,180 +تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، + +65 +00:04:45,180 --> 00:04:48,540 +تعالوا، تعالالأطب هو إلكتروني في حياته المتعادلة + +66 +00:04:48,540 --> 00:04:54,240 +عندما نموذج الإلكترون يتساوي نموذج البروتونات. إذا + +67 +00:04:54,240 --> 00:04:58,380 +لما نقول المادة مش مشهورة، يعني متعادلة، هذا لا + +68 +00:04:58,380 --> 00:05:02,340 +يعني أنه مافيش فيها شحدات كثيرة، فيها شحدات، لأن + +69 +00:05:02,340 --> 00:05:04,420 +الشحنات اللي بيوجد بوضعها شحنات كثيرة بقالة، هم + +70 +00:05:04,420 --> 00:05:06,280 +متساوجين، متساوجين، متساوجين، متساوجين، متساوجين، + +71 +00:05:06,280 --> 00:05:07,360 +متساوجين، متساوجين، متساوجين، متساوجين، متساوجين، + +72 +00:05:07,360 --> 00:05:09,160 +متساوجين، متساوجين، متساوجين، متساوجين، متساوجين، + +73 +00:05:09,160 --> 00:05:12,940 +متساوجين + +74 +00:05:15,710 --> 00:05:21,030 +وانت تلقي طيب هاي ال charges اللي هي related + +75 +00:05:21,030 --> 00:05:23,890 +charges و different charges ايه ايه ايه ايه ايه + +76 +00:05:23,890 --> 00:05:26,350 +ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه + +77 +00:05:26,350 --> 00:05:26,490 +ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه ايه + +78 +00:05:26,490 --> 00:05:28,650 +ايه ايه ايه + +79 +00:05:38,200 --> 00:05:43,020 +الشحنات المتشابهة بقراها، هم شحنات مختلفة .. + +80 +00:05:43,020 --> 00:05:46,880 +مختلفة لأنها كتابة .. كتابة أو كتابة أو كتابة كل + +81 +00:05:46,880 --> 00:05:49,980 +أفريقيا من الإنجليزيا، تقولكم عارفين يوتيوب معناه + +82 +00:05:49,980 --> 00:05:54,800 +إيه؟ فيه جد يادر منهم، وكتب يوتيوب عن كتبهم كلهم، + +83 +00:05:54,800 --> 00:06:00,680 +لكن فيه جد يادر، منها بباصة او جد يادر منهم. السفة + +84 +00:06:00,680 --> 00:06:03,480 +التانية اللي برضه، وكان مبدأ + +85 +00:06:07,620 --> 00:06:09,920 +محقوظة زي الـEnergy محقوظة زي الـEnergy محقوظة زي + +86 +00:06:09,920 --> 00:06:13,520 +الـEnergy محقوظة زي الـEnergy محقوظة زي الـEnergy + +87 +00:06:13,520 --> 00:06:14,460 +محقوظة زي الـEnergy محقوظة زي الـEnergy محقوظة زي + +88 +00:06:14,460 --> 00:06:18,160 +الـEnergy محقوظة زي الـEnergy محقوظة زي الـEnergy + +89 +00:06:18,160 --> 00:06:22,400 +محقوظة زي الـEnergy محقوظة زي الـEnergy محقوظة زي + +90 +00:06:22,400 --> 00:06:24,200 +الـEnergy محقوظة زي الـEnergy محقوظة زي الـEnergy + +91 +00:06:24,200 --> 00:06:28,150 +محقوظة زي الـEnergy محقوظة زي الـEnergy محقيعني + +92 +00:06:28,150 --> 00:06:32,010 +مافيش عندي PS4 أو بطول يوتيوب من الشيء و لا عندي + +93 +00:06:32,010 --> 00:06:35,370 +PS4 أو بطول من بطول العالم بروح في نفسي المنطقة + +94 +00:06:35,370 --> 00:06:38,170 +اللي ما كان لما كان لما كان لما كان لما كان لما + +95 +00:06:38,170 --> 00:06:38,930 +كان لما كان لما كان لما كان لما كان لما كان لما + +96 +00:06:38,930 --> 00:06:39,750 +كان لما كان لما كان لما كان لما كان لما كان لما + +97 +00:06:39,750 --> 00:06:40,830 +كان لما كان لما كان لما كان لما كان لما كان لما + +98 +00:06:40,830 --> 00:06:42,770 +كان لما كان لما كان لما كان لما كان لما كان لما + +99 +00:06:42,770 --> 00:06:42,810 +كان لما كان لما كان لما كان لما كان لما كان لما + +100 +00:06:42,810 --> 00:06:43,430 +كان لما كان لما كان لما كان لما كان لما كان لما + +101 +00:06:43,430 --> 00:06:44,070 +كان لما كان لما كان لما كان لما كان لما كان لما + +102 +00:06:44,070 --> 00:06:44,510 +كان لما كان لما كان لما كان لما كان لما كان لما + +103 +00:06:44,510 --> 00:06:47,810 +كان لما كان لما كان لما كان لما كان ل + +104 +00:06:51,070 --> 00:06:54,510 +طبعا تقولين أن دا إيه سبب؟ من أصل الشحنان ليه + +105 +00:06:54,510 --> 00:06:57,590 +الأقوام اللي بيقولونها؟ وانا بعرف أبطالي أنا ماشي + +106 +00:06:57,590 --> 00:07:00,550 +عامل بعمل ال report ولا ماشي بعمل ال report ولا + +107 +00:07:00,550 --> 00:07:02,890 +عشان روح ال report إذا أن أنا في أي شحنة في + +108 +00:07:02,890 --> 00:07:07,710 +الدنيا، مش هيئة، إما انتوا أو مضاعفات، يعني خمس، + +109 +00:07:07,710 --> 00:07:11,530 +عشر، بليون، مليون، تبتدية، I'm not convinced إنه + +110 +00:07:11,530 --> 00:07:15,890 +بيبيني شحنان، هيعبارة عن خمس آلاف electron robots + +111 +00:07:16,400 --> 00:07:19,860 +خلاص خمس سنة .. خمس سنة خمس سنة .. خمس سنة .. خمس + +112 +00:07:19,860 --> 00:07:22,220 +سنة .. خمس سنة و أربعة .. عشان .. هذه هي .. إذا + +113 +00:07:22,220 --> 00:07:28,360 +زعلانة وهذه زعلانة مختلفة بمعنى أخر الـ Q هو رمزي + +114 +00:07:28,360 --> 00:07:33,880 +لأقل ما خلصت برمزي زي ما M is a symbol of mass and + +115 +00:07:33,880 --> 00:07:38,400 +F is a symbol of force and D is a symbol of time + +116 +00:07:38,400 --> 00:07:42,620 +الـ Q is a symbol of charge برّات بتقول الـ Q + +117 +00:07:42,620 --> 00:07:44,180 +small و برّات بتقول كبير + +118 +00:07:47,170 --> 00:07:53,330 +الشؤلة بتساوي أن هو الانتجار الشبكاتي 0,1,2,3 + +119 +00:07:53,330 --> 00:07:59,530 +مضروب بإيش؟ بشحمة الكيلترول أنت إيه؟ هل يصبح صيغة + +120 +00:07:59,530 --> 00:08:05,070 +بتكتير للصيغة إن البيتشار يبقى one type يعني إن + +121 +00:08:05,070 --> 00:08:11,830 +بستوى السترة 1,2 مش ممكن يكون 1.1 أو 1.5 أو 1.3 لأ + +122 +00:08:11,830 --> 00:08:18,620 +1,2,3,4 كلهم أقاربصحيحة فهذه هي شخصية one size + +123 +00:08:18,620 --> 00:08:22,120 +طبعا وعكس شخصية one size كتير واحد كتير واحد يعني + +124 +00:08:22,120 --> 00:08:25,720 +انه بانتجرش من واحد لاتنين مراحلين يعني واحد وواحد + +125 +00:08:25,720 --> 00:08:28,380 +ورسوم وواحد ورسوم وواحد كده فهذه شخصية كتير واحد + +126 +00:08:28,380 --> 00:08:30,780 +لكن انا اللي شارك بيبقى كتير واحد كتير واحد كتير + +127 +00:08:30,780 --> 00:08:34,300 +واحد كتير واحد كتير واحد كتير واحد كتر واحد كتر + +128 +00:08:34,300 --> 00:08:34,540 +واحد كتر واحد كتر واحد كتر واحد كتر واحد كتر واحد + +129 +00:08:34,540 --> 00:08:34,540 +كتر واحد كتر واحد كتر واحد كتر واحد كتر واحد كتر + +130 +00:08:34,540 --> 00:08:40,650 +واحد كتر واحد كتر واحد كتر واحد كتر واالأولى + +131 +00:08:40,650 --> 00:08:43,110 +الشخصية المستهدفة من الدلوقت اللي انا بعرفها من + +132 +00:08:43,110 --> 00:08:47,090 +الدلوقت انها كونزيرب معيومة بتخطي ايش هو الكونزيرب + +133 +00:08:47,090 --> 00:08:49,910 +من باقي الانجليزيات اللي بيوفوا اللي يدعموا منهم + +134 +00:08:49,910 --> 00:08:53,590 +ويدعموا منهم ويشاركوا الكونزيرب ويكون فيها الشخصية + +135 +00:08:53,590 --> 00:08:57,550 +المنطقية الشحنات في هذه الشوق ايه المعنى؟ اي شخصية + +136 +00:08:57,550 --> 00:09:02,110 +من المتواقبات الشخصية المنطقية وبالتالي مابتهانش + +137 +00:09:02,110 --> 00:09:02,950 +شطارة + +138 +00:09:16,450 --> 00:09:19,310 +زي ما تشوفته و احنا قاعدين نحكي في ال description + +139 +00:09:19,310 --> 00:09:23,470 +إيش اللي هنشرح هنشرح تيار كهبائي التيار الكهبائي + +140 +00:09:23,470 --> 00:09:26,670 +اللي يحكي هو عبارة عن حركة شحناك إذا ان الشحناك + +141 +00:09:26,670 --> 00:09:31,830 +هيزمها تتحرك هتتحرك بمانواع و أسلاك بمانواعها هل + +142 +00:09:31,830 --> 00:09:34,990 +كل الأسلاك تتحرك بنفس النوعية .. بنفس ال .. + +143 +00:09:34,990 --> 00:09:38,450 +الكيبية؟ قطعا لا في عندي أسلاك بيسموها + +144 +00:09:41,490 --> 00:09:44,850 +في عندي مواد in between بسموها seam conductors أو + +145 +00:09:44,850 --> 00:09:48,650 +أشبه موصلات وفي عندي مواد بسموها super conductors + +146 +00:09:48,650 --> 00:09:53,050 +مواد فائغات طويلة احنا اللي مهمنا في هذا المصاد هو + +147 +00:09:53,050 --> 00:09:56,650 +ال conductors و ال insulators conductors بالعربي + +148 +00:09:56,650 --> 00:10:02,410 +إيش فعلتها؟ موصف و insulator؟ أسد و لكل اللي بسمه + +149 +00:10:02,410 --> 00:10:05,990 +من اسمه نصي الواحد بسمه conductor ليه بسمه موصف؟ + +150 +00:10:05,990 --> 00:10:09,710 +عشان موصف صح ولا لأ؟ موصف إيش؟ أنا بحكي في القهوة + +151 +00:10:11,310 --> 00:10:15,230 +يوصي طيارة عضائي يعني يوصي الشحنات يعني الشحنات + +152 +00:10:15,230 --> 00:10:18,570 +بتتحرك بسهولة إذا لو جيتنا نقولشو ال conductor + +153 +00:10:18,570 --> 00:10:23,030 +نقول ال conductor is the substance that permits + +154 +00:10:23,030 --> 00:10:27,870 +electric charge to move freely هو المادة اللي تسمح + +155 +00:10:29,080 --> 00:10:34,020 +وحرية تتحرك الشحنات الطرق سالكة دوه فيها إمكانية + +156 +00:10:34,020 --> 00:10:38,560 +الحركة إيش فيه أنثيات؟ طبعا التركيبة الكيميائية + +157 +00:10:38,560 --> 00:10:41,740 +للمواد اللي بنعرف إن الكلوتيونات ترتبط + +158 +00:10:41,740 --> 00:10:46,620 +بالكلوتيونات بقوة جلد صح ولا لا؟ هذه القوة إذا كنت + +159 +00:10:46,620 --> 00:10:50,420 +تتغلب عليها بفترة الكلوتر كل ما كانت القوة ضعيفة + +160 +00:10:50,420 --> 00:10:54,940 +كل ما كانت إمكانية إنه يفل تصير فيه أكبر هذه وقتين + +161 +00:10:54,940 --> 00:10:59,650 +كانت قوة ضعيفة من ال metalsبالـ metals بالتالي كل + +162 +00:10:59,650 --> 00:11:03,010 +الـ metals تعتبر conductors الشيء الأمثل على ال + +163 +00:11:03,010 --> 00:11:06,830 +conductors هي ال silver أجود أنواع ال conductors + +164 +00:11:06,830 --> 00:11:10,570 +من ال metals هي ال silver الفضة اللي تليها هو + +165 +00:11:10,570 --> 00:11:14,190 +القبر النحاس و طبعا في عندنا ال aluminium و ال + +166 +00:11:14,190 --> 00:11:18,010 +iron الحديد كل ال metals طبعا احنا نقشها بالتلاجة + +167 +00:11:28,950 --> 00:11:31,250 +لكن مازال انا اتدور على التوفير اتدور على التوفير + +168 +00:11:31,250 --> 00:11:34,930 +بدا اشوف انه منها غلاوة نحاف فبالتالي في الضربالي + +169 +00:11:34,930 --> 00:11:38,250 +اللي بيستخدم النحاس هو عشان كده النحاس هو الأكتر + +170 +00:11:38,250 --> 00:11:44,290 +شخص معين باستخدام عشان رخصه اللي بيستخدمه ايش ال + +171 +00:11:44,290 --> 00:11:47,690 +insulator؟ عكس اللي كنت قلتها ال insulator is the + +172 +00:11:47,690 --> 00:11:51,690 +substance that doesn't permit electric charges to + +173 +00:11:51,690 --> 00:11:56,770 +move ده تسمح بحركة الشحنة الطول بينسكها ده جواحط + +174 +00:11:56,770 --> 00:12:01,290 +شحنة بتدرها تنجز جوانها حط تقع ممكن تشحنها تشحنها + +175 +00:12:01,290 --> 00:12:04,290 +بس الشحنة بتخطبها و لا حطتها بتلاقيها ال converter + +176 +00:12:04,290 --> 00:12:08,030 +اللي حط شحنة دي وجهك بتلاقيه أشهر حط تقع تروح هيك + +177 +00:12:08,030 --> 00:12:10,710 +و لا تروح هيك و لا تروح هيك فيه إمكانية حركة أي + +178 +00:12:10,710 --> 00:12:14,690 +مؤثرة جوا في المادة محركها أما ال Insulator لأحط + +179 +00:12:14,690 --> 00:12:19,750 +شحنة بتدرها كما هي موجودة هيك في السيطرة ايش في + +180 +00:12:19,750 --> 00:12:23,930 +عندي أمثلة؟ أمثلة عندي الجلاص الزجاج و هنا بنعود + +181 +00:12:23,930 --> 00:12:25,070 +ان الزجاج مادة عادلة + +182 +00:12:27,890 --> 00:12:32,290 +أحنا بنطليها أو بنغلفها بال plastic عشان ما + +183 +00:12:32,290 --> 00:12:36,090 +نتكهربش تمام؟ و في عندى ال rubber برضه نفس القضية + +184 +00:12:36,090 --> 00:12:39,410 +و في عندى الخشب كلكم بتعرفوا فيه شغلات كتيرة و + +185 +00:12:39,410 --> 00:12:44,490 +ورقم و أمور كتيرة في كتير مواد تسمى insulators أنا + +186 +00:12:44,490 --> 00:12:48,410 +اللى بهمني في هذا الموضوع ان أول ما شوفته مدكتر + +187 +00:12:48,410 --> 00:12:52,430 +بتدرك ان الشحنات ممكن تتحرك تمام؟ أول ما شوف + +188 +00:12:52,430 --> 00:12:56,920 +انسجلتر بقول الشحنة من بحط قرف بلاقيهاهي اللي انا + +189 +00:12:56,920 --> 00:13:02,940 +بديها في الموضوع هذا نقول للعصب ال senses في مجموع + +190 +00:13:02,940 --> 00:13:06,440 +الموارد that fall in an intermediate position ما + +191 +00:13:06,440 --> 00:13:09,800 +هي constant ولا هي convective اتقع ما بين constant + +192 +00:13:09,800 --> 00:13:13,750 +وconvectiveبـ Intermediate position between + +193 +00:13:13,750 --> 00:13:16,970 +conductors and insulators these substances are + +194 +00:13:16,970 --> 00:13:21,090 +called semiconductors أشبه توصيلات عند المثالين + +195 +00:13:21,090 --> 00:13:24,310 +الصارخين و المشهورين هما الـ cellophane و الجرمال + +196 +00:13:24,310 --> 00:13:28,170 +طبعا التركيبة الفيزيائية لهم ان ال conduction band + +197 +00:13:28,170 --> 00:13:31,990 +و ال valance band أو الحزمة التوصيلية و الحزمة + +198 +00:13:31,990 --> 00:13:36,190 +التكافؤية بتكون جالبهم صغيرة بحين بيقدر الهاتف + +199 +00:13:36,190 --> 00:13:39,440 +ينطقمن الـ valance ban إلى ال conduction ban و + +200 +00:13:39,440 --> 00:13:42,320 +بصير المادة شبه موصلة و عشان كده بيسموها + +201 +00:13:42,320 --> 00:13:45,320 +superconductance كأنا مش همروا علينا في هذا ال + +202 +00:13:45,320 --> 00:13:49,580 +course طبعا الشغل الرابع اللي موجود لو برضه مش + +203 +00:13:49,580 --> 00:13:52,540 +معلقين فيها في هذا الشرطة هي ال superconductance + +204 +00:13:56,760 --> 00:14:00,440 +لأن الـ Resistivity تبعاتهم يا شباب تقريبا سفر، + +205 +00:14:00,440 --> 00:14:07,460 +تقريبا سفر، تقريبا سفر، تقريبا + +206 +00:14:07,460 --> 00:14:12,420 +سفر، تقريبا سفر، تقريبا سفر، تقريبا سفر، تقريبا + +207 +00:14:12,420 --> 00:14:13,520 +سفر، تقريبا سفر، تقريبا سفر، تقريبا سفر، تقريبا + +208 +00:14:13,520 --> 00:14:13,520 +سفر، تقريبا سفر، تقريبا سفر، تقريبا سفر، تقريبا + +209 +00:14:13,520 --> 00:14:13,520 +سفر، تقريبا سفر، تقريبا سفر، تقريبا سفر، تقريبا + +210 +00:14:13,520 --> 00:14:17,100 +سفر، تقريبا سفر، تقريبا سفر، تقريبا سفر، ت + +211 +00:14:19,930 --> 00:14:24,730 +والتي يفر بقى من المحطة لمس مجموطنا من الـ Trans + +212 +00:14:24,730 --> 00:14:29,770 +المزامين عشان يعوض لنا الفاقل لأن السلك المحاس هذا + +213 +00:14:29,770 --> 00:14:33,290 +بالرغم من أن نقول عنه أننا Conductor اللي هي وفيه + +214 +00:14:33,290 --> 00:14:37,210 +مقاومة وبالتالي تفقد جزء من الفاقل الكهربائية + +215 +00:14:37,210 --> 00:14:42,330 +خلاله لو هذا المحاس استبدل بأسلحة Super Conductors + +216 +00:14:42,330 --> 00:14:46,250 +الفاقد بكلاشة وبالتالي بتوفر علينا كتير وإن + +217 +00:14:46,250 --> 00:14:51,730 +الكهربا زي ما أطلع في 2020مزاى بعض اليوم تصل + +218 +00:14:51,730 --> 00:14:56,190 +الكهربا بينكى ل 120 و 150 من مقود الكهربا المتوفر + +219 +00:14:56,190 --> 00:15:00,690 +فاقد لكن هذا لحد الآن الاستخدام العملي صعب + +220 +00:15:00,690 --> 00:15:05,230 +مانتشاريه أقل من الاستخدامات كله في ال labs لأنه + +221 +00:15:05,230 --> 00:15:09,050 +بيدي درجة الحرارة محفظة او مش معنى فيها تكتير + +222 +00:15:09,050 --> 00:15:13,310 +الموضوع التالي برضه انا بقدمه كيف انا بدي اشحن جسم + +223 +00:15:13,310 --> 00:15:17,650 +بيقولوا في اي دي اي دي طرف انا ممكن ادي باسم مشهور + +224 +00:15:17,650 --> 00:15:21,410 +البسه باسم كان مشهور طب تقل الشحناتمن المشهور إلى + +225 +00:15:21,410 --> 00:15:25,090 +غير المشهور نفسي المشهور الحالة التانية أن أنا + +226 +00:15:25,090 --> 00:15:29,570 +أشحن بالتأثير شبهها من طول مذابس من قعدة أن جسم + +227 +00:15:29,570 --> 00:15:34,370 +أشحن بالتأثير يعني induction الأقل بدي أشحن عملية + +228 +00:15:34,370 --> 00:15:39,390 +الشحن بالتأثير كيف بدي أشحن جسم تأثيريا it's + +229 +00:15:39,390 --> 00:15:44,350 +charging by induction charge بناته شحنه و charge + +230 +00:15:44,350 --> 00:15:48,570 +كveer بناته يشحنه it's charge now or there + +231 +00:15:51,550 --> 00:15:56,030 +فالـ charging هنا charging by induction بيقولي + +232 +00:15:56,030 --> 00:15:59,110 +with the properties of conductors and insulators + +233 +00:15:59,110 --> 00:16:03,350 +in mind انت أخدت خواص ال conductors و أخدت خواص ال + +234 +00:16:03,350 --> 00:16:06,690 +insulators و أخدتها في روحك و بدي أشتغلها بيقولي + +235 +00:16:06,690 --> 00:16:11,130 +when can it charge؟ charge هنا كده، a conductor + +236 +00:16:11,130 --> 00:16:13,450 +إذا أنا مابقدرش أشعل ال conductor، الinsulator + +237 +00:16:13,450 --> 00:16:15,850 +مابقدرش أشعله، لأنه مابقدرش اشعله يبقى موجوه بيهش + +238 +00:16:15,850 --> 00:16:20,710 +by a technique called charging by inductionبتكنيكى + +239 +00:16:20,710 --> 00:16:23,630 +بيسمى ال induction أو التأثير كيف؟ بيقولى الله + +240 +00:16:23,630 --> 00:16:29,930 +حاجة consider a conductor بدليل كوندكتر insulated + +241 +00:16:29,930 --> 00:16:34,950 +from the ground اللى أفصله عن الأرض بعازى الأحمر + +242 +00:16:34,950 --> 00:16:40,810 +كوندكتر شجرة والأصمر جسم عازل عن الأرض حطته على + +243 +00:16:40,810 --> 00:16:46,810 +لوح حجب حطته على طاولة على لوح مطاط بلاستيكو زياجة + +244 +00:16:46,810 --> 00:16:50,270 +المهم بينه وبين الأرض لأنه مش اتصالفي مادة عازلة + +245 +00:16:50,270 --> 00:16:54,010 +وصلت مع الأرض أطلع و أقول هذا الـ conductor فإن + +246 +00:16:54,010 --> 00:16:57,610 +هذا الـ conductor نحن لدينا شحنات داخلنا نحن لدينا + +247 +00:16:57,610 --> 00:17:02,290 +إلكترون و بروترون عشان + +248 +00:17:02,290 --> 00:17:06,650 +كده هذا الـ conductor الـ neutral أنا بدي أخليه + +249 +00:17:06,650 --> 00:17:09,890 +مشهور بالتالي هو الـ neutral لكن فيش فيه شحنات؟ + +250 +00:17:09,890 --> 00:17:13,130 +فيه فيه إلكترون و فيه بروترون زي ما احنا عارفين + +251 +00:17:13,130 --> 00:17:18,160 +فيش مادة خالية من الشحنات ايش بيجي أسوي؟يقول لي + +252 +00:17:18,160 --> 00:17:22,160 +نولد a negative charge object في جسم مشهور، + +253 +00:17:22,160 --> 00:17:26,160 +negative charge object، جسم مشهور، مش حاجة زي بقى، + +254 +00:17:26,160 --> 00:17:29,460 +to be brought near the conductor، كربه، without + +255 +00:17:29,460 --> 00:17:35,220 +touching it، ما تلقسش، من بعض، بس كربه شوية، كربه، + +256 +00:17:35,220 --> 00:17:40,930 +هذا جسم مشهور، كربههيجدت أحمر جوبة فيه روتونات و + +257 +00:17:40,930 --> 00:17:44,550 +فيه روتونات كانوا ماخدين راحتهم و كل واحد رايح على + +258 +00:17:44,550 --> 00:17:50,510 +شجة هو حرفية الهاددة مؤثر جسم مشحون بشحنات ثانبة + +259 +00:17:50,510 --> 00:17:53,950 +المعلومة اللي عندي من كل .. كل الشحنات الموجة بدت + +260 +00:17:53,950 --> 00:17:58,110 +يجيبهم ولا لا و كل الشحنات الثانبة بترافرهم فإيه + +261 +00:17:58,110 --> 00:18:02,030 +بتصير الشحنات اللي دي هو الكندكة اللحمة بدل ما + +262 +00:18:02,030 --> 00:18:08,190 +كانت موزعة بيه عشوائيا بدها تقاني و عاد توزيحبحيث + +263 +00:18:08,190 --> 00:18:12,750 +الشحنات الموجة بتجربت والشحنات السالبة تبعد ولا لأ + +264 +00:18:12,750 --> 00:18:17,130 +إذا ندّوصي ال redistribution of charges due to the + +265 +00:18:17,130 --> 00:18:21,210 +attractive and repulsive forces نتيجة قوة الجذب + +266 +00:18:21,210 --> 00:18:25,250 +والتنافر ما بين الجسم الأزرق والشحنات اللي جوا + +267 +00:18:25,250 --> 00:18:31,670 +الجسم الأحمر تجازوا التنافر the charges within the + +268 +00:18:31,670 --> 00:18:36,750 +conductor will be redistributed سيُعد توزيعهافي + +269 +00:18:36,750 --> 00:18:39,010 +الأول كانت موزعة عشوائية عشوائية عشوائية عشوائية + +270 +00:18:39,010 --> 00:18:44,890 +الآن هتوزحين شباب شوف المودة براح والسالب براح + +271 +00:18:44,890 --> 00:18:48,610 +المودة كانت مفضلة لأن فيها factor force والسالب + +272 +00:18:48,610 --> 00:18:52,490 +أبعد لأن فيه repulsive force هذيك ليش السالب + +273 +00:18:52,490 --> 00:18:58,310 +مابعدش أكتر من كده؟ when we do في وصف عازل صح ولكن + +274 +00:18:58,310 --> 00:19:02,900 +هو الفراق أو الهوى يعني الطريق المسكرا قدامهوالـ + +275 +00:19:02,900 --> 00:19:05,560 +positive الـ negative يبقى أكتر من كده لأنه في وقت + +276 +00:19:05,560 --> 00:19:10,060 +عادي فاصله عن المؤثر و هو الجسم الأزرق إذا أنا + +277 +00:19:10,060 --> 00:19:14,340 +قررت إلى أقصى ما أستطيع و السائق بيقول أتعالج إلى + +278 +00:19:14,340 --> 00:19:19,460 +أقصى ما أستطيع تمام؟ الـ contraction أحمر مازال + +279 +00:19:19,460 --> 00:19:24,440 +نوترون ولا لأ؟ مازال نوترون انشعاد؟ لأ لو كان في + +280 +00:19:24,440 --> 00:19:28,200 +عندي الف بروتون و الف نتوان زاده ولا خسه؟ لأ بس ال + +281 +00:19:28,200 --> 00:19:33,590 +الف نتوان صفوا عشان ذلكو لازم البطولة تسطى عشان + +282 +00:19:33,590 --> 00:19:36,890 +تجاوز نحن نقول البطولة هي الشحنات الموجبة اللى + +283 +00:19:36,890 --> 00:19:39,950 +تتحولى لكن تجاوز نحن نقولها بقى انا اقول لك ماذا + +284 +00:19:39,950 --> 00:19:43,910 +ممكن تسوي احنا مش حالة انت تحاول تخلص لك من جزء من + +285 +00:19:43,910 --> 00:19:47,170 +هالشحنة وعندما اتصلت بطولة انت تحاول توزع واحد + +286 +00:19:47,170 --> 00:19:52,830 +لبطولة تقول هنا the conductor be grounded وصر ال + +287 +00:19:52,830 --> 00:19:57,950 +conductor بالأرض وصرت هنا ايش صار؟ الطريقة كانت + +288 +00:19:57,950 --> 00:20:01,410 +مسكرة السلك فتحني شبان في ال conductor و لا الأرض + +289 +00:20:01,820 --> 00:20:05,480 +فتح شبكة .. فتكون تكتر طريق سلكة هذه الإلكترونات + +290 +00:20:05,480 --> 00:20:09,760 +اللي جاية حد بقعد فيها ومش قادرة تبعد أكتر من كده + +291 +00:20:09,760 --> 00:20:12,900 +لأن الطريق مسكرا وفتحت الطريق ايش تدوس فيها .. + +292 +00:20:12,900 --> 00:20:18,320 +فتدوس .. تهرب على الأرض الأرض بتاكل كل الإلكترونات + +293 +00:20:18,320 --> 00:20:21,900 +اللي موجودة بيقول لي .. the negative charges will + +294 +00:20:21,900 --> 00:20:26,420 +disappear .. وين بتروح؟ على الأرض .. ماتتش .. لأن + +295 +00:20:26,420 --> 00:20:30,340 +the charge is conserved .. إذا هي راح تتفقلك من + +296 +00:20:30,340 --> 00:20:37,590 +الأرضأو واحدة الان ال conductor .. هم ممكن يخرجوا + +297 +00:20:37,590 --> 00:20:43,290 +بقى ال conductor بطل المنظر لأنه في شحنات سالبة + +298 +00:20:43,290 --> 00:20:47,330 +راحوا من عنده إذا صارت الشحنات الموجبة أكتر من + +299 +00:20:47,330 --> 00:20:50,610 +الشحنات السالبة إذا للأن بدّر أقول ان ال conductor + +300 +00:20:50,610 --> 00:20:56,270 +is charged or positively charged تنهت .. انشحك .. + +301 +00:20:56,270 --> 00:21:00,150 +ايش بيبضل عليك؟ قال إن أنا خلصت جدا جيب هذا السلك + +302 +00:21:00,150 --> 00:21:06,860 +اللي حاطيتههي تنقل المشركة من الأرض و بعدها تنقل + +303 +00:21:06,860 --> 00:21:08,000 +المشركة من الأرض و بعدها تنقل المشركة من الأرض و + +304 +00:21:08,000 --> 00:21:08,420 +بعدها تنقل المشركة من الأرض و بعدها تنقل المشركة + +305 +00:21:08,420 --> 00:21:14,280 +من الأرض و بعدها تنقل المشركة من الأرض و بعدها + +306 +00:21:14,280 --> 00:21:19,220 +تنقل + +307 +00:21:19,220 --> 00:21:26,200 +المشركة + +308 +00:21:26,200 --> 00:21:32,130 +من الأرضهذه الشيخنات بتاعها بنزجها هيك؟ اللي كان + +309 +00:21:32,130 --> 00:21:35,990 +بنزجها و حصدها فين الله؟ اللي هو الأزرق، إيه + +310 +00:21:35,990 --> 00:21:39,510 +بنصير؟ بتتوزع عشوائي النتيجة التقرار والتقرير + +311 +00:21:39,510 --> 00:21:43,570 +نتاعك، هي الشيخنات متبادلة في العسكر فتقوللي due + +312 +00:21:43,570 --> 00:21:47,310 +to the revulsive force between them between the + +313 +00:21:47,310 --> 00:21:50,350 +positive and charges the positive and charges will + +314 +00:21:50,350 --> 00:21:55,090 +be redistributed uniformly over the surface of the + +315 +00:21:55,090 --> 00:22:00,480 +conductorهيعاد توزيع الشحنات من عشوائية و بانضغام + +316 +00:22:00,480 --> 00:22:05,440 +حصيني، إذا أنا بدأت ب conductor الليفل أخسين ب + +317 +00:22:05,440 --> 00:22:08,680 +conductor with positive charge، فاكر. إيه دا السيد + +318 +00:22:08,680 --> 00:22:11,740 +أسمكت، يعني لو احنا قتلنا المؤثر قبل فصل المؤثر، + +319 +00:22:11,740 --> 00:22:16,830 +المؤثر على الأرض، شو بيصير ذلك؟لأ بيبقى مش موجة + +320 +00:22:16,830 --> 00:22:19,610 +بيرجع ال neutral لإنه بيجيه إلكترونات من الأرض + +321 +00:22:19,610 --> 00:22:22,310 +عيبة تمام بس إحنا نجاوز اللي بيقولوا وكده إن + +322 +00:22:22,310 --> 00:22:25,410 +البوطناط راحت هي البوطناط بيبقى تخرج لزمن قعدتين + +323 +00:22:25,410 --> 00:22:28,890 +لكن لما إلكترون يتفع من الظرّة شباب بصير الظرّة + +324 +00:22:28,890 --> 00:22:32,650 +يوم موجة فبصير وكده الشحنة بيكون كده في كل عالم + +325 +00:22:32,650 --> 00:22:38,030 +وكده البوطناط فيش شحنة بيكون كده فلو جينا المؤثر و + +326 +00:22:38,030 --> 00:22:41,290 +لسه على السليك موجود اللي كان في الأول الشحنات + +327 +00:22:41,290 --> 00:22:46,080 +الأول ماكانش كدهأحنا مهندسين بتروح، تمام؟ فهذا + +328 +00:22:46,080 --> 00:22:48,600 +اللي بيصير معايا، إذا هذي عملتش حاجة متأثيرة، + +329 +00:22:48,600 --> 00:22:51,220 +بتقول أنا بتشتغل، في موضوع بسيط يعني، في نهاية، + +330 +00:22:51,220 --> 00:22:54,520 +أنا اللي بدي إياها، اللي لما يكون بكتر شباب، يكون + +331 +00:22:54,520 --> 00:22:57,640 +جامبوري proportional to the square of the distance + +332 +00:22:57,640 --> 00:23:01,140 +between the two parties، يقول يكون مابعتش مجلد، + +333 +00:23:01,140 --> 00:23:05,880 +مجلد القوة، ويبقوا من القلاقة ما بين مربع المسافة، + +334 +00:23:05,880 --> 00:23:09,240 +مش مع المسافة نفسها، فذكركم في القاروبة من زمان + +335 +00:23:09,240 --> 00:23:11,140 +يبقوا أف واحد، تريس، + +336 +00:23:32,610 --> 00:23:34,550 +صح ولا ده؟ + +337 +00:23:42,930 --> 00:23:47,270 +هنا من هدور بتاعنا القانون المشادر تناسب طربي بعد + +338 +00:23:47,270 --> 00:23:52,590 +بدل الماسس بحط الشقلات و المسافر هي مسافر تمام؟ + +339 +00:23:52,590 --> 00:23:56,490 +ايش الخلاف؟ ان هذه قوة الجدد دايمة صح ولا لا؟ + +340 +00:23:56,490 --> 00:23:59,530 +القوة الكهربية ممكن تكون جدد ممكن تكون؟ تمام؟ + +341 +00:23:59,530 --> 00:24:05,130 +تمام؟ و بالتالي هو بيقول لأ ان the direction of + +342 +00:24:05,130 --> 00:24:08,730 +the force is along the line joining the two + +343 +00:24:08,730 --> 00:24:12,050 +particlesيقول لو كان عندك مين أشوفنا شباب ومين + +344 +00:24:12,050 --> 00:24:16,870 +أشوفنا وهادي بيسميها Q1 وهادي Q2 القوة اللي على + +345 +00:24:16,870 --> 00:24:20,510 +هذه لا بيبقى تكون هيك ولا بيبقى تكون هيك صح ولا + +346 +00:24:20,510 --> 00:24:24,530 +لا؟ إذا كانت ياجوبيا بيبقى تكون هيك إذا كانت كورية + +347 +00:24:24,530 --> 00:24:27,430 +بيبقى تكون هيك فين كانية القوة اللي على هذه تكون + +348 +00:24:27,430 --> 00:24:30,520 +هيك من هنا لها؟مافيش تانية لازم تكون على خط الواصل + +349 +00:24:30,520 --> 00:24:34,100 +بينهم لإن هي جانب تثير قادر مفهوش تكون هيك إذا هي + +350 +00:24:34,100 --> 00:24:38,000 +ماعندهم تثير قوة شخصيات أخرى صح ولا لأ إذا لازم + +351 +00:24:38,000 --> 00:24:42,200 +القوة تكون على الخط الواصل بين الشخصيات .. مايبقى + +352 +00:24:42,200 --> 00:24:45,860 +اسمها زيها دي لو كان عندي هنا أبوي و هنا أبوي هي + +353 +00:24:45,860 --> 00:24:49,760 +أبوي و هي أبوي هو القوة بتكون هي السوريين هنا + +354 +00:24:49,760 --> 00:24:53,900 +الجملة طبعا بتكون هي لازم صح ولا لأ مفهوش تكون + +355 +00:24:53,900 --> 00:24:59,740 +ماجر حاجة معروفة كمانالخطوة الرابعة او المراحضة + +356 +00:24:59,740 --> 00:25:02,300 +الرابعة اللى انا عارفها من زمان ان ال force is + +357 +00:25:02,300 --> 00:25:06,080 +attractive if the charges are of opposite sides + +358 +00:25:06,080 --> 00:25:09,900 +and repulsive تنافورية if the charges have the + +359 +00:25:09,900 --> 00:25:14,820 +same sides هذه شغلها معروفة اذا بتكون تجاذبية اذا + +360 +00:25:14,820 --> 00:25:18,860 +كان الشحنات مختلفة وتنافورية اذا كان الشحنات + +361 +00:25:18,860 --> 00:25:24,820 +متشابهة هذا اربع مراحضات بده يحطهم بقانون فجال + +362 +00:25:31,070 --> 00:25:35,790 +من هذه الملاحظات، مدينة القوة التي تعمل على محطة + +363 +00:25:35,790 --> 00:25:40,830 +تحزين Q1 بسبب محطة تحزين Q2 يمكن أن تكون محطة + +364 +00:25:40,830 --> 00:25:42,310 +تحزين كذلك + +365 +00:25:49,920 --> 00:25:56,320 +الرمز اللى احنا عامله F21 من اتنين على واحد هذه + +366 +00:25:56,320 --> 00:26:00,200 +الفرص اللى على واحد من اتنين حسب رمز الكتاب تبعكم + +367 +00:26:00,200 --> 00:26:04,040 +طبعا انا ايش باخد ال magnitude شباب الان بدي ال + +368 +00:26:04,040 --> 00:26:06,860 +magnitude انص ال direction ال direction بيحدده + +369 +00:26:06,860 --> 00:26:10,860 +repulsive or attractive بعدين بنحكي عنه بساوي K + +370 +00:26:10,860 --> 00:26:16,470 +ثابت التناسب بدي ال capital G هناك الثابت Kبديل M1 + +371 +00:26:16,470 --> 00:26:20,210 +في M2 وحطينا Q1 وQ2 وفي مراعر وحطينا absolute + +372 +00:26:20,210 --> 00:26:27,330 +values هناك مستحيل + +373 +00:26:27,330 --> 00:26:30,510 +يكون عندك كتلة سالبة هنا في شحنة موجبة وشحنة سالبة + +374 +00:26:30,510 --> 00:26:33,030 +بيقول الموجب والسالب ليس لديه دعوة بال magnitude + +375 +00:26:33,030 --> 00:26:35,190 +انت لما دي بال magnitude ليس لديك دعوة بالسالب + +376 +00:26:35,190 --> 00:26:40,590 +والموجبهو attractive إذا بحدد direction ما زال انت + +377 +00:26:40,590 --> 00:26:44,690 +بدك magnitude هنا هنا بدك ال absolute values وهذه + +378 +00:26:44,690 --> 00:26:48,310 +مربع المسافر اللي بينهم إذا نفس القانون هدق مافيش + +379 +00:26:48,310 --> 00:26:53,850 +مشكلةR21 is the distance between the two charges + +380 +00:26:53,850 --> 00:26:58,310 +and K is the proportionality constant known as + +381 +00:26:58,310 --> 00:27:02,230 +Coulomb's constant بيسموه ثابت كولوم بيهمش ايش ما + +382 +00:27:02,230 --> 00:27:05,790 +يسموه يسموه اسمه ثابت كولوم احنا بنسميه ثابت اللي + +383 +00:27:05,790 --> 00:27:09,070 +هو المقدار هنديكميه و مش مطلوب منكم حافظه و + +384 +00:27:09,070 --> 00:27:16,790 +المقدار بيعتمد على الوحدةالقوة هي قوة و القوة هي + +385 +00:27:16,790 --> 00:27:20,910 +قيمة و القيمة هي قيمة و القيمة هي قيمة و القيمة هي + +386 +00:27:20,910 --> 00:27:22,970 +قيمة و القيمة هي قيمة و قيمة هي قيمة و قيمة هي + +387 +00:27:22,970 --> 00:27:24,290 +قيمة و قيمة هي قيمة و قيمة هي قيمة و قيمة هي قيمة + +388 +00:27:24,290 --> 00:27:24,290 +و قيمة هي قيمة و قيمة هي قيمة و قيمة هي قيمة و + +389 +00:27:24,290 --> 00:27:24,290 +قيمة هي قيمة و قيمة هي قيمة و قيمة هي قيمة و قيمة + +390 +00:27:24,290 --> 00:27:24,410 +هي قيمة و قيمة هي قيمة و قيمة هي قيمة و قيمة هي + +391 +00:27:24,410 --> 00:27:25,850 +قيمة و قيمة هي قيمة و قيمة هي قيمة و قيمة هي قيمة + +392 +00:27:25,850 --> 00:27:30,670 +و قيمة هي قيمة و قيمة هي قيمة و قيمة هي قيمة و + +393 +00:27:30,670 --> 00:27:39,330 +قيمة هي قيمةإذا كانت الاتصالات متشابهة ومفيدة وإذا + +394 +00:27:39,330 --> 00:27:41,010 +كانت مختلفة + +395 +00:27:47,210 --> 00:27:52,550 +مقادرة الـ K لديها قيمة نميذية تعتمد على اختيار + +396 +00:27:52,550 --> 00:27:56,930 +المجموعات كي ثابت هذا مقداره بيعتمد على الوحدات + +397 +00:27:56,930 --> 00:28:00,170 +اللي بنستخدمها طبعا الوحدات الأصلية اللي بنستخدمها + +398 +00:28:00,170 --> 00:28:05,890 +هي ال SI unit system هذا هو مقدار عشان نشترين + +399 +00:28:05,890 --> 00:28:09,370 +بنقول ال SI unit of each charge is column حكيت عنه + +400 +00:28:09,370 --> 00:28:14,030 +انا و يبذل بالرمز capital C which is considered as + +401 +00:28:14,030 --> 00:28:19,420 +the fourth primary unit besideالوحدات الأساسية + +402 +00:28:19,420 --> 00:28:23,340 +اللي أخدناها في Z1000 متر و kilogram و second + +403 +00:28:23,340 --> 00:28:27,420 +مظبوط ولا لأ؟ حاجات في عندنا unit رابعة اللي هي ال + +404 +00:28:27,420 --> 00:28:31,280 +charge و هي ال column هناك mechanics هنا كهربية + +405 +00:28:31,280 --> 00:28:36,900 +تضعف إليها ال column مش مشكلة تمام in this system + +406 +00:28:36,900 --> 00:28:42,020 +في ال SI system K have a value of nine ten to + +407 +00:28:42,020 --> 00:28:46,700 +power nine تسعة في عشر أقصى تسعة الوحدة بتجيبها من + +408 +00:28:46,700 --> 00:28:53,420 +القانوننيوتن متر تربيع على كلهم تربيع نيوتن متر + +409 +00:28:53,420 --> 00:28:57,080 +تربيع على كلهم تربيع و الواحدة نجيبها من القانون + +410 +00:28:57,080 --> 00:29:01,120 +اللي انتوا عارفينه تمام هنا بعد الهاد كان في كلهم + +411 +00:29:01,120 --> 00:29:05,460 +و كلهم فصلت نيوتن متر تربيع على كلهم و كلهم تربيع + +412 +00:29:05,460 --> 00:29:10,560 +بعدها عشان نجيب ال K تمام columns constant is + +413 +00:29:10,560 --> 00:29:14,380 +usually written as ..الو صيغة تانية هذا K يكتب + +414 +00:29:14,380 --> 00:29:19,450 +بالعلاقة التالية مرة عليكمك بيساوي واحد على اربعة + +415 +00:29:19,450 --> 00:29:25,430 +باي ابسلون نوت هد كي بتساوي تسعة عشرة عصر تسعة + +416 +00:29:25,430 --> 00:29:29,690 +وبتساوي واحد على اربعة ابسلون نوت اربعة باي اربعة + +417 +00:29:29,690 --> 00:29:33,930 +عارفينها وال باي كلكم عارفينها ابسلون نوت هد شباب + +418 +00:29:33,930 --> 00:29:38,410 +ثابت اخر برضه الناس محفظه ال numerical valueمع الـ + +419 +00:29:38,410 --> 00:29:44,950 +Epsilon Note بسوء 8.85% في 10 أغسل بـ 12 إيش هو؟ و + +420 +00:29:44,950 --> 00:29:50,390 +إيش وحدته؟ أولا إيش هو لقطة بال K كوحدة؟ مقلوبة + +421 +00:29:50,390 --> 00:29:54,730 +إذا المفروض يكون كولوم تربيع على نيوتمتر تربيع ولا + +422 +00:29:54,730 --> 00:30:00,170 +لا إذا نهاية وحدته طب الشيء هذي هذي بيسموها ال + +423 +00:30:00,170 --> 00:30:04,750 +permittivity of free space ثابت النفاذية الكهربية + +424 +00:30:04,750 --> 00:30:09,910 +للفراقثابت المفاذية الكهربائية permativity جاية من + +425 +00:30:09,910 --> 00:30:14,950 +كلمة permit يسمح او ينفذ permativity of a free + +426 +00:30:14,950 --> 00:30:18,070 +space هذا ثابت هيمر علينا برضه ال epsilon note + +427 +00:30:18,070 --> 00:30:23,270 +كثابت من ثابت ف one over four by epsilon note هو + +428 +00:30:23,270 --> 00:30:27,490 +ال K هو columns constant واضح شباب؟ هذه برضه كل + +429 +00:30:27,490 --> 00:30:30,660 +هذه المعلومات بتتجمع عندنا مافيش عندها مشكلةهذا + +430 +00:30:30,660 --> 00:30:34,800 +الـ S.I. System الـ S.I. System اللي هنستخدمه + +431 +00:30:34,800 --> 00:30:38,580 +through all our book في ال system التاني اللي هو + +432 +00:30:38,580 --> 00:30:42,960 +الـ CGS System أو الـ Gaussian System هذا ي charge + +433 +00:30:42,960 --> 00:30:49,940 +وحدتها Stethocolome او بيسموها electrostatic unit + +434 +00:30:49,940 --> 00:30:53,060 +ESU + +435 +00:30:53,060 --> 00:30:57,000 +ماهي دعوة مش هنستخدمها كتير هذا بالعلمفي هذا ال + +436 +00:30:57,000 --> 00:31:00,960 +system في ال Gaussian system شباب K بصير مقدارها + +437 +00:31:00,960 --> 00:31:04,820 +واحد ومالهاش وحدات بصير عشان كده في بعض الكتب + +438 +00:31:04,820 --> 00:31:08,440 +المتقدمة بحبوا يستخدموا هذا ال system لسهولة ال + +439 +00:31:08,440 --> 00:31:12,140 +units عندهم بصير في بعض ثوابت متساوي واحد برا يحوا + +440 +00:31:12,140 --> 00:31:16,040 +حالهم أهلا مش هنستخدموا هذا هنستخدم ال SI system و + +441 +00:31:16,040 --> 00:31:19,620 +ال K بتساوي 9 في 10 ربما 9 و بتساوي 1 على أربع + +442 +00:31:19,620 --> 00:31:23,240 +أبائي Epsilon العادي هذا بس مجرد للعلم + +443 +00:31:26,910 --> 00:31:29,430 +أحنا جيبنا ال magnitude تبع ال force و ال + +444 +00:31:29,430 --> 00:31:33,350 +direction نجيبه من ال attractive و ال repulsive + +445 +00:31:33,350 --> 00:31:38,370 +لكن ممكن نكتب قانون كلوم ك vector form يجيبلي + +446 +00:31:38,370 --> 00:31:41,870 +الاتجاه و المقدار و خلاص و أنا مغمض لأ أطلع + +447 +00:31:41,870 --> 00:31:44,910 +attractive و لا repulsive أعود تعويض مباشر تطلع + +448 +00:31:44,910 --> 00:31:49,230 +عند الاتجاه و ال magnitude in vector form columns + +449 +00:31:49,230 --> 00:31:54,550 +law can be written as هاي أف حطت اتجاه هرجت مافيش + +450 +00:31:54,550 --> 00:32:00,160 +ال absolute valueكيكي والمقام مقام هنا بطل في + +451 +00:32:00,160 --> 00:32:02,820 +absolute values لأنه أنا بدي ال direction و + +452 +00:32:02,820 --> 00:32:07,140 +المagnitude بنفس اللحظة عشان هذا vector لازم الطرف + +453 +00:32:07,140 --> 00:32:12,520 +الآخر من المعادل يكون vector هذا scalar هذا q + +454 +00:32:12,520 --> 00:32:17,440 +scalar وهذا distance scalar إذا إيش بدي أحط؟ بدي + +455 +00:32:17,440 --> 00:32:21,660 +أحط unit vector فهذا unit vector ذاكرين ال I والJ؟ + +456 +00:32:22,070 --> 00:32:26,430 +أخدنا ال I و قلنا I directed along the positive x + +457 +00:32:26,430 --> 00:32:31,430 +axis و J directed along the positive y axis فى + +458 +00:32:31,430 --> 00:32:34,770 +عندى unit vector أخر أخدناه في ال circular motion + +459 +00:32:34,770 --> 00:32:38,850 +اللى هو ال R directed along the radius صح ولا لأ؟ + +460 +00:32:39,290 --> 00:32:44,230 +تمام و ال radius ميزته انه بيلف و يلف مرة بيكون + +461 +00:32:44,230 --> 00:32:46,770 +سيني و مرة بيكون صاضي و مرة بيكون لا هو سيني ولا + +462 +00:32:46,770 --> 00:32:51,210 +هو صاضي فهذا ال R بنحطه لأنه لما يكون الشحنكين هيك + +463 +00:32:51,210 --> 00:32:55,590 +شباب بتكون ال R unit vector سينية ولا لا لا سيني + +464 +00:32:55,590 --> 00:32:59,470 +مجرد لا سيني سالب لو كان الشحن هنا القوة بين هدوك + +465 +00:32:59,470 --> 00:33:02,710 +بيكون صاضي لكن عندما يكون الشحن هنا لاهي سيني ولا + +466 +00:33:02,710 --> 00:33:09,400 +صاضي صح ولا لا فبحطه R و لما يروح R يروح تمامالان + +467 +00:33:09,400 --> 00:33:13,640 +هيكيو اتنين وهيكيو واحد المسافة اللي بينهم r اتنين + +468 +00:33:13,640 --> 00:33:16,680 +واحد زي ما انتوا شايفيني لا هي سينية ولا هي صادية + +469 +00:33:16,680 --> 00:33:21,200 +in between the y axis and the x axis بالتالي + +470 +00:33:21,200 --> 00:33:24,860 +الاتجاه تبقى هيك فهذه بسموه باتجاه ال R يعني ال + +471 +00:33:24,860 --> 00:33:28,100 +unit vector باتجاه ال R تمام هتجيه الشباب يطلعوا + +472 +00:33:28,100 --> 00:33:33,000 +على القانون لو كان الشحنتين موجبات الجواب موجب ولا + +473 +00:33:33,000 --> 00:33:38,070 +سالبولو كان الشحنتين سالبات، التنتين، الجواب موجب. + +474 +00:33:38,210 --> 00:33:42,550 +طيب، لما يقول موجبات التنتين القوة تنافورية، صح؟ + +475 +00:33:42,550 --> 00:33:45,370 +ولو كانوا التنتين سالبات، برضه تنافورية، يعني + +476 +00:33:45,370 --> 00:33:48,750 +الاتجاه ما اتغيرش، القانون جابها. طيب، لو كانت + +477 +00:33:48,750 --> 00:33:51,490 +واحدة موجبة وواحدة سالبة، إيش بيصير الجواب؟ سالب. + +478 +00:33:51,930 --> 00:33:54,490 +والسالب لما يفوت على ال unit vector، إيش بيسوي فيه + +479 +00:33:54,490 --> 00:33:57,570 +في ال vector؟ بيعكس اتجاهه، بعد ما هو تنافر، إيش + +480 +00:33:57,570 --> 00:34:00,950 +بيصير؟ تجاذبي، إذا هذا القانون بيجيبليه تنافريا أو + +481 +00:34:00,950 --> 00:34:04,720 +تجاذبيايعني بمعنى آخر، لو كانت تنتين هدول مجبات، + +482 +00:34:04,720 --> 00:34:08,760 +هي الاتجاه على Q1، لو كانوا Q2 وQ1 سالبات، هي + +483 +00:34:08,760 --> 00:34:11,640 +الاتجاه، لو واحدة منها واحد سالباش، بتصير بالعكس + +484 +00:34:11,640 --> 00:34:15,000 +لك، بتصير تجاذبية، صح أو لا؟ وهذا القانون بيجيبها + +485 +00:34:15,000 --> 00:34:20,000 +R21 زي ما هي مبينة في الرسمة، is a unit vector + +486 +00:34:20,000 --> 00:34:23,640 +directed from Q2 لQ1، اتجاه الأخضر اللي شايفينه + +487 +00:34:23,640 --> 00:34:28,170 +السهم، هذا اتجاه ال unit vectorيجب أن نلاحظ أن + +488 +00:34:28,170 --> 00:34:34,550 +القوة الكهربائية تشبه شكل + +489 +00:34:34,550 --> 00:34:37,690 +هذا الشكل و لا لا شباب واضح أن الشكل تشبه هذا + +490 +00:34:37,690 --> 00:34:44,610 +الشكل إذا كانت القوة الكهربائية محفوظة و ما زال + +491 +00:34:44,610 --> 00:34:50,380 +القوة الكهربية تشبهها كشكل غياضيبقدر اقول ان قوة + +492 +00:34:50,380 --> 00:34:55,060 +الكهرباية كوه محافظة اذا الان المعلومة اللي عندي + +493 +00:34:55,060 --> 00:34:59,760 +ان القوة الكهرباية شباب قوة محافظة لان شباب انتوا + +494 +00:34:59,760 --> 00:35:02,000 +عارفين القوة المحافظة احنا ايش اثبتناها كيف + +495 +00:35:02,000 --> 00:35:06,140 +اثبتناها؟ قولنا ان ال work تبح لا يعتمد على المسار + +496 +00:35:06,140 --> 00:35:12,000 +و ال work عبارة عن قوة Dot DS مع إزاحة Dot و Dot + +497 +00:35:12,760 --> 00:35:17,600 +إذا الـDS ماهي DS إذاها ماتغيرتش إذا القوة كشكل + +498 +00:35:17,600 --> 00:35:22,040 +بتشبه تلت القوة الجاذب لها إذا المفروض يكون نفس + +499 +00:35:22,040 --> 00:35:25,500 +القضية لإن أنا بعمل product و بجيب work إذا نجيت + +500 +00:35:25,500 --> 00:35:28,300 +ال work اللي هي أتمد على المصاد إذا مجرد عنها قوة + +501 +00:35:28,300 --> 00:35:32,900 +محافظة طبعا في ال calculus في طريقة أخرى لإثبات إن + +502 +00:35:32,900 --> 00:35:36,680 +هذا ال function conservative بجيب ال care في حد ما + +503 +00:35:36,680 --> 00:35:42,110 +أخد ال calculus معاياأحسن في حاجة بسموها care تبع + +504 +00:35:42,110 --> 00:35:46,550 +ال vector إذا أنا هذا ال care أو بسموه حاجة زي هيك + +505 +00:35:48,790 --> 00:35:52,050 +اذا هذا سوا سفر بقول عنه conservative هذا طريقة + +506 +00:35:52,050 --> 00:35:54,770 +أخرى بالتالي بيعتمد على ال function اللي كان ما + +507 +00:35:54,770 --> 00:35:59,110 +زال ال function واحد اذا بتوقع انه بالتناظر ما زال + +508 +00:35:59,110 --> 00:36:02,670 +هذه القوة conservative اذا القوة الكهربائية ايضا + +509 +00:36:02,670 --> 00:36:06,270 +conservative لأنها لنفس ال form ك function بس مجرد + +510 +00:36:06,270 --> 00:36:09,610 +بدي ال X حطت Y ولا بدي ال X حطت U يعني مجرد تغيير + +511 +00:36:09,610 --> 00:36:13,490 +رموز بدي ال M حطت Q مافيش تغيير ك function + +512 +00:36:13,490 --> 00:36:16,750 +وبالتالي انا بدي أستنتج الآن شباب ان القوة + +513 +00:36:16,750 --> 00:36:20,920 +الكهربائية conservativeالأن لدينا ثلاثة قوات + +514 +00:36:20,920 --> 00:36:26,920 +محافظة .. قوة السحر أو قوة الشمس .. ذاكرينهم اتنين + +515 +00:36:26,920 --> 00:36:30,980 +هدول؟ الثالث هو القوة الإلكترونية .. هي قوة محافظة + +516 +00:36:30,980 --> 00:36:37,720 +.. تمام .. تمام .. لو في عندي شحنتين بقدر أجيب + +517 +00:36:37,720 --> 00:36:41,480 +القوة .. طب لو عندي خمس شحنات و بدك القوة على شحنة + +518 +00:36:41,480 --> 00:36:45,470 +معينة .. ايش بدي أسوي؟عشان اجيب هى بتتأثر بس بشحنه + +519 +00:36:45,470 --> 00:36:48,570 +ولا بتتأثر باربع شحنات اللى حوالها؟ باربع شحنات + +520 +00:36:48,570 --> 00:36:52,030 +لإن هى محوطة بشحنات كتيرة كيف يجيب القوة اللى + +521 +00:36:52,030 --> 00:36:55,330 +عليها؟ جالبى واحدة واحدة جيب القوة من الأولى و + +522 +00:36:55,330 --> 00:36:57,450 +القوة من التانية و القوة من التالتة و القوة من + +523 +00:36:57,450 --> 00:37:01,790 +الرابعة بعدين اجمعهابس بتجمع vectors ولا scalars؟ + +524 +00:37:01,790 --> 00:37:07,930 +vectors a three plus four may be five not seven صح + +525 +00:37:07,930 --> 00:37:11,610 +ولا لأ؟ تلاتة وأربعة ما هو السبعة بالضرورة ممكن + +526 +00:37:11,610 --> 00:37:15,470 +يطلع خمسة لو واحدة سنية لو واحدة صادية في فيفا + +527 +00:37:15,470 --> 00:37:19,090 +وورس بتطلعلي خمسة تلاتة وأربعة وبالتالي الجمع + +528 +00:37:19,090 --> 00:37:23,310 +عشانك تتعامل مع vectors بيكون vector sum فقولي if + +529 +00:37:23,310 --> 00:37:25,930 +there are more than two charges + +530 +00:37:28,500 --> 00:37:37,180 +الجمع الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +531 +00:37:37,180 --> 00:37:38,960 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +532 +00:37:38,960 --> 00:37:39,580 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +533 +00:37:39,580 --> 00:37:39,700 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +534 +00:37:39,700 --> 00:37:39,700 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +535 +00:37:39,700 --> 00:37:39,780 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +536 +00:37:39,780 --> 00:37:39,820 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +537 +00:37:39,820 --> 00:37:41,980 +الاتجاهي الجمع الاتجاهي الجمع الاتجاهي الجمع + +538 +00:37:41,980 --> 00:37:45,890 +الاتجاهبقول for example if we have three charges + +539 +00:37:45,890 --> 00:37:50,010 +then the net force on particle one due to the + +540 +00:37:50,010 --> 00:37:53,490 +other two particles is given as بيصير عندك F واحد + +541 +00:37:53,490 --> 00:37:59,560 +بيسوي F اتنين واحد و F تلاتة واحدو اقفل على واحد + +542 +00:37:59,560 --> 00:38:02,920 +من تلاتة اجمعهم ك vectors بتطلع عندك القوة + +543 +00:38:02,920 --> 00:38:07,740 +الإجمالية وهذا مثال عملناه على ال masses برضه شغله + +544 +00:38:07,740 --> 00:38:11,380 +سهلة ان انا بديب واحدة واحدة بديب الاتجاه و بديب + +545 +00:38:11,380 --> 00:38:14,700 +ال magnitude و بعدين الفيديو تحليل بحلله و بكتبه ك + +546 +00:38:14,700 --> 00:38:19,320 +vector بدلية ال I و ال Jوبجمعهم زي ما أخدنا في + +547 +00:38:19,320 --> 00:38:23,300 +chapter one in physics a a plus b كيف بدي أجمع two + +548 +00:38:23,300 --> 00:38:26,680 +vectors و هنا بدي أجمع two vectors the first force + +549 +00:38:26,680 --> 00:38:31,080 +and the second force و في عندي أكتر بضم ماشي معاهم + +550 +00:38:31,080 --> 00:38:38,710 +بهذا الكميةيقول remember that the electric force + +551 +00:38:38,710 --> 00:38:44,010 +obeys Newton's third law دائما القوة اللي انطبق + +552 +00:38:44,010 --> 00:38:47,530 +عليها قوانين نيوتن التلاتة شباب the first law the + +553 +00:38:47,530 --> 00:38:52,630 +second law and the third lawإنه يقول فئرات فئر + +554 +00:38:52,630 --> 00:38:55,890 +مسوء له في المقدار ومضاد له في الاتجاه إذا معناته + +555 +00:38:55,890 --> 00:39:02,410 +هي Q1 وQ2 إذا Q1 تتأثر بQ2 لابد إن Q2 تتأثر بQ1 + +556 +00:39:02,410 --> 00:39:10,050 +بنفس القوة بس اتجاه معاكس F21 وهي F1 واحد عكس + +557 +00:39:10,050 --> 00:39:15,690 +التانية لو Q1 عشرة وQ2 خمسة معناته القوة الأولى + +558 +00:39:15,690 --> 00:39:21,060 +بتكون أكبر من التانية؟لأ لازم متساويات بغض العذر + +559 +00:39:21,060 --> 00:39:24,700 +عن مقدار الشحنات انا مرات كتير بدي بال quizzes انه + +560 +00:39:24,700 --> 00:39:28,120 +انا عندى two charges واحدة عشرة وواحدة خمسة بقولك + +561 +00:39:28,120 --> 00:39:31,520 +اللى بتأثر على العشرة من الخمسة عشرة نيوتين طيب + +562 +00:39:31,520 --> 00:39:35,380 +اذا اللى بتأثر على الخمسة من العشرة عشرة ولا خمسة + +563 +00:39:35,380 --> 00:39:39,880 +ولا عشرين عشرة بس الاتجاه بيكون معاكس اذا ملاكش + +564 +00:39:39,880 --> 00:39:44,100 +دعوة بالمقدار لازم يكون القوتين متساوياتين in + +565 +00:39:44,100 --> 00:39:49,250 +magnitude and opposite in directionيعني F21 + +566 +00:39:49,250 --> 00:39:54,130 +بالسوية السالب بقى F12 والسالب هذا بيعني opposite + +567 +00:39:54,130 --> 00:39:57,990 +in direction لكن المساواة يعني in magnitude they + +568 +00:39:57,990 --> 00:40:02,860 +are equal وهذا نيوتن التالت اللي موجود عندناأخر + +569 +00:40:02,860 --> 00:40:07,140 +حاجة هنتعامل معها بيقول ليه؟ Columns law applies + +570 +00:40:07,140 --> 00:40:11,360 +only for pointed charges هذا قانون كلهم الحط عشان + +571 +00:40:11,360 --> 00:40:13,920 +ينطبق فقط على ال pointed charges ايش يعني pointed + +572 +00:40:13,920 --> 00:40:18,760 +charge؟ يعني حجمها بحجم النقطة ليش المشكلة بتصير؟ + +573 +00:40:18,760 --> 00:40:21,900 +يقول لي لما يكون نقطة و نقطة بفي درجة بالمسافة + +574 +00:40:21,900 --> 00:40:27,420 +شباب من هالهال لكن لو جالك في عندك قرة و في عندك + +575 +00:40:27,420 --> 00:40:32,740 +خلينا نقول ورقة زي هيكهذه مشحونة وهذه مشحونة واحد + +576 +00:40:32,740 --> 00:40:36,660 +قال لك او جد ال force لما تجيب تجيب المسافة و اين + +577 +00:40:36,660 --> 00:40:40,180 +تجيب المسافة؟ تجيب من ها لها ولا من ها لها ولا من + +578 +00:40:40,180 --> 00:40:44,440 +ها لها؟ مائة مسافة فيه صح ولا لا؟ اذا هذا القانون + +579 +00:40:44,440 --> 00:40:48,840 +لا ينطبق الا ع ال pointed charges طب كيف يتعامل مع + +580 +00:40:48,840 --> 00:40:52,680 +حده؟ هو يخيّر لما نصرها بفرج رب العالمين في عندي + +581 +00:40:52,680 --> 00:40:55,760 +معاملة ان اجسم الشحنة و اتعامل معها زي ما اتعاملت + +582 +00:40:55,760 --> 00:40:59,900 +مع فيزي ألف و اتعامل بعدين أكمل و أجمع وشغلات زي + +583 +00:40:59,900 --> 00:41:06,890 +هيكفهذا هو الآن اللي احنا عندنا إياه طبعا المرة + +584 +00:41:06,890 --> 00:41:11,870 +الجاية يا شباب هنبدأ بالأمثلة الحقيقية اللي منها + +585 +00:41:11,870 --> 00:41:16,770 +أو زيها بنحل أسئلة الآن احنا أخدنا المقدمة + +586 +00:41:16,770 --> 00:41:22,470 +الأولانية مقدمة كتير سهلة قانون كلوم عرفناهكيف + +587 +00:41:22,470 --> 00:41:27,290 +اتعامل معاه حقيقة هكون في المحاضرة الجاية طبعا + +588 +00:41:27,290 --> 00:41:30,570 +احنا وجدنا المفروض يخلص 11 لربع اليوم بلعنا منكم + +589 +00:41:30,570 --> 00:41:34,850 +عشر دقائق عشان ال .. الوجهة اللي أكلوه منهم عن + +590 +00:41:34,850 --> 00:41:38,350 +التصوير فبهمش المرة الجاية ان شاء الله تسعة و نص + +591 +00:41:38,350 --> 00:41:40,510 +بنخلص 11 لربع و يعطيكوا العافية + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk.srt new file mode 100644 index 0000000000000000000000000000000000000000..58123f00ecc240aed5ad222bc8807bb5986cd783 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk.srt @@ -0,0 +1,1351 @@ +1 +00:00:00,000 --> 00:00:02,680 +موسيقى + +2 +00:00:10,490 --> 00:00:14,390 +بسم الله الرحمن الرحيم هنبدأ اليوم بالـ chapter + +3 +00:00:14,390 --> 00:00:21,110 +السادس تحت عنوان direct current circuits يمكن + +4 +00:00:21,110 --> 00:00:26,770 +الموضوع الأول بدينا فيه المحاضرة الماضية وهو تحت + +5 +00:00:26,770 --> 00:00:31,330 +عنوان electromotive force أو القوة الدافعة + +6 +00:00:31,330 --> 00:00:34,570 +الكهربائية حكينا أنه لما يكون في عندي دائرة + +7 +00:00:34,570 --> 00:00:40,490 +كهربائية متكونة من بطارية و load resistor هيمر + +8 +00:00:40,490 --> 00:00:44,570 +التيار الكهربائي from the higher potential to the + +9 +00:00:44,570 --> 00:00:49,470 +lower potential as shown in the figure الآن + +10 +00:00:49,470 --> 00:00:56,210 +الشحنات بتتحرك from P to A through capital R due + +11 +00:00:56,210 --> 00:01:03,150 +to the attraction and repulsive force between the + +12 +00:01:03,150 --> 00:01:06,230 +positive terminal and the negative terminal of the + +13 +00:01:06,230 --> 00:01:10,570 +battery and the positive charge، بالتالي حركة + +14 +00:01:10,570 --> 00:01:14,970 +الشحنات من B لـ A بهذا الشكل هي حركة طبيعية بفعل + +15 +00:01:14,970 --> 00:01:19,490 +القوة الكهروستاتيكية، المشكلة أنه كيف أنا بدي + +16 +00:01:19,490 --> 00:01:26,390 +أحرّكها الآن من A لـ B، عشان تصل لـ B لابد أن تتجاوز + +17 +00:01:26,390 --> 00:01:32,740 +القطب الموجب للبطارية وهذه شحنات موجبة، والأصل هو + +18 +00:01:32,740 --> 00:01:36,060 +القوة الكهروستاتيكية اللي موجودة هي قوة تنافر ما بين + +19 +00:01:36,060 --> 00:01:40,040 +الشحنة الموجبة وقطب الموجب، إذا معناته أنا بدي جهاز + +20 +00:01:40,040 --> 00:01:49,820 +يعمل على دفع الشحنات from A to B، لذلك لتشغيل الحركة عن طريق دائرة + +21 +00:01:49,820 --> 00:01:56,020 +مغلقة يجب أن تشغل الحركة من A إلى B، لازم يكون هذه + +22 +00:01:56,020 --> 00:02:00,860 +الحركة هي حركة غير طبيعية، هذه الحركة ضد القوة + +23 +00:02:00,860 --> 00:02:05,320 +الكهروستاتيكية، قوة التنافر اللي موجودة ما بين + +24 +00:02:05,320 --> 00:02:09,720 +الشحنة الموجبة اللي بتتحرك والقُطب الموجب للبطارية + +25 +00:02:09,720 --> 00:02:14,880 +زي بالظبط حكاية المياه، كيف بدّي أدخلها للأعلى ضد الجاذبية + +26 +00:02:14,880 --> 00:02:23,280 +الأرضية، هذا يعني أننا بحاجة لقوة مُمكنة تدفع الشحنات + +27 +00:02:23,280 --> 00:02:28,600 +من الأسفل للأعلى، الشحنات إلى الأعلى، وبالتالي في عندنا الـ + +28 +00:02:28,600 --> 00:02:32,940 +Electromotive Force أو الـ EMF بمعنى المختصر، واللي + +29 +00:02:32,940 --> 00:02:37,640 +رمزه من يوم ما طلع هيكون capital Epsilon، واتفقنا + +30 +00:02:37,640 --> 00:02:42,840 +أن EMF source هم البطاريات والجنراتورات، طبعا من + +31 +00:02:42,840 --> 00:02:48,180 +العملية اللي حكيناها أنه اتجاه الدفع بيكون من + +32 +00:02:48,180 --> 00:02:52,840 +الواطئ للعالي، وبالتالي القوة الدافعة الكهربائية + +33 +00:02:52,840 --> 00:02:56,300 +دايماً بتكون متجهة من القطب السالب إلى القطب الموجب + +34 +00:02:56,300 --> 00:03:00,940 +للبطارية، therefore is always directed from + +35 +00:03:00,940 --> 00:03:04,740 +the negative terminal to the positive terminal of + +36 +00:03:04,740 --> 00:03:10,980 +the battery، تمام وهذا كله حكيناه أنه عبارة عن ضخ + +37 +00:03:10,980 --> 00:03:15,940 +للشحنات، وبالظبط زي ما المياه تُضخ بواسطة مضخة أو + +38 +00:03:15,940 --> 00:03:21,120 +احنا بنسميها motor عكس الجاذبية الأرضية، الآن بدنا + +39 +00:03:21,120 --> 00:03:25,640 +نحكي شغلة ثانية، أنه أنا اتفقت أن هذه البطارية + +40 +00:03:25,640 --> 00:03:31,040 +بترفع لي الشحنات من الواطئ للعالي، طيب هذا الـجلم لما + +41 +00:03:31,040 --> 00:03:37,100 +نرفعه من هون لهون بيكتسب طاقة ولا بيفقد طاقة؟ بيكتسب + +42 +00:03:37,100 --> 00:03:41,660 +طاقة، ما دام إنتقل من الواطئ للعالي بيكتسب طاقة، إذا + +43 +00:03:41,660 --> 00:03:46,560 +في عندي حركتين من هون لهون ثم من هون لهون، هاجد + +44 +00:03:46,560 --> 00:03:50,480 +يا شباب، هذه المقاومة وهذه المقاومة، عشان التيار بيمشي + +45 +00:03:50,480 --> 00:03:52,840 +هيك، واحنا عارفين التيار بيمشي من الجهد الأعلى + +46 +00:03:52,840 --> 00:03:55,420 +لجهد الأقل، وهذه نفس العملية. + +47 +00:03:58,360 --> 00:04:02,180 +الشحنات تنتقل من الواطئ للعالي هنا ثم تنتقل من + +48 +00:04:02,180 --> 00:04:07,520 +العالي للواطئ هناك، فبالتالي مرة تكتسب ثم تفقد طاقة + +49 +00:04:07,520 --> 00:04:12,980 +أو من آخر جهود، فبإختصار أنا بقول positive in charge moving + +50 +00:04:12,980 --> 00:04:19,490 +from A to B من هون لهون بس من هون لهون، من هون لهون + +51 +00:04:19,490 --> 00:04:24,030 +هذه بيصير في عملية كسب للجهود من الواطئ للعالي + +52 +00:04:24,030 --> 00:04:27,770 +بيقول any positive charge moving from a to b will + +53 +00:04:27,770 --> 00:04:31,510 +gain a potential، طبعاً احنا بنقول طاقة أو potential + +54 +00:04:31,510 --> 00:04:34,230 +واحد، لأن الـpotential جاي من الطاقة أصلاً، بيعكس + +55 +00:04:34,230 --> 00:04:38,790 +عكسه بتطلع هو الجهد، ابسلون كمية الـepsilon كما تتجه + +56 +00:04:38,790 --> 00:04:42,450 +من القطب السالب إلى القطب الموجب من البطارية. + +57 +00:04:42,450 --> 00:04:46,890 +طيب الآن أنا بدي أكمل، أنا وصلت للنقطة بهيئة إيش + +58 +00:04:46,890 --> 00:04:52,430 +بيصير هتفقد جهود، هتفقد جهود، فديش بساوي جهود اللي + +59 +00:04:52,430 --> 00:04:56,570 +هتفقده، فديك اتفقنا أنه ابسلون، لكن الجهد اللي هناك + +60 +00:04:56,570 --> 00:04:59,990 +ممكن أجيب من قانون أوم يا شباب، أن جهد بيساوي I for + +61 +00:04:59,990 --> 00:05:06,060 +small r، إذن however it will lose a potential I in + +62 +00:05:06,060 --> 00:05:09,960 +small r as it passes through the internal resistor + +63 +00:05:09,960 --> 00:05:12,440 +where I is the current in the circuit + +64 +00:05:25,080 --> 00:05:28,880 +مش بيساوي، هو عبارة عن فرق الجهد تبع البطارية وفرق + +65 +00:05:28,880 --> 00:05:31,840 +الجهد ما بين طرفي المقاومة الداخلية ولا لا؟ أنا في + +66 +00:05:31,840 --> 00:05:35,980 +عندي فرقين جهد، فرق جهد هذا وفرق جهد لها، هون من + +67 +00:05:35,980 --> 00:05:40,020 +واقعي لعالي في كسب موجب، هون من عالي لواطئ في + +68 +00:05:40,020 --> 00:05:44,320 +سالب، إذا المجموع الجهد هيكون يا شباب بهذا الشكل. + +69 +00:05:53,190 --> 00:05:59,810 +بالتالي فرق الجهد ما بين A وB هو عبارة عن Epsilon ناقص I + +70 +00:05:59,810 --> 00:06:06,690 +في الـR، تمام؟ طبعاً هنا واضح يا شباب، هذا فرق الجهد بين + +71 +00:06:06,690 --> 00:06:11,250 +طرفي البطارية، كلمة terminal هنا يا شباب الـterminal + +72 +00:06:11,250 --> 00:06:16,450 +معناها الطرف أو القطب بالمعنى الآخر، طبعاً الـterminal + +73 +00:06:16,450 --> 00:06:21,270 +معناها طرف بصورة إجمالية، وحتى كلمة terminal بتعني + +74 +00:06:21,270 --> 00:06:26,210 +محطة، لو أنتم مرت عليكم كلمة كلمة terminal معناها + +75 +00:06:26,210 --> 00:06:30,070 +محطة، طبعاً في المطارات بنسمّيها terminals برضه، المهم + +76 +00:06:30,070 --> 00:06:34,370 +طبعاً المحطات بنسمّيها terminals لأن غالباً بتكون في + +77 +00:06:34,370 --> 00:06:37,190 +أطراف المدن، عشان كده بقى هو في النهاية terminal + +78 +00:06:37,190 --> 00:06:42,310 +معناه أطراف، وبالتالي طرفي البطارية هي كلمة + +79 +00:06:42,310 --> 00:06:46,050 +terminals، فبالتالي هدول الـtwo terminals هم اللي + +80 +00:06:46,050 --> 00:06:49,550 +بيبينوا لما أنا بدي أجيس في فرق جهد أي بطارية + +81 +00:06:49,550 --> 00:06:53,470 +بواسطة الـvoltmeter، أنا ما بجيش أوصله، بوصله بالقطب + +82 +00:06:53,470 --> 00:06:57,200 +الموجب بالقطب السالب، هذا فرق الجهد هذا هو + +83 +00:06:57,200 --> 00:07:01,160 +Epsilon نفسها؟ بيقول لي مش دائماً، إذا كان فيه + +84 +00:07:01,160 --> 00:07:04,480 +مقاومة داخلية، بيكون فرق الجهد بيكون أقل من + +85 +00:07:04,480 --> 00:07:08,320 +Epsilon، أقل من القوة الدافعة الكهربية، طبعاً واضح + +86 +00:07:08,320 --> 00:07:13,350 +من القانون يا شباب إن هذه إيش وحدتها Volt، يعني مش قوة + +87 +00:07:13,350 --> 00:07:17,230 +دافعة كعربية وحدتها نيوتن، لأ هذا هيك مصطلح عشان + +88 +00:07:17,230 --> 00:07:20,930 +اللي اللي مذاكرين أنه في قوة دفعة أنه بتدفع تعمل + +89 +00:07:20,930 --> 00:07:26,530 +pumping، بالتالي V بتساوي Epsilon ناقص IR، واجتيش V بتساوي Epsilon + +90 +00:07:26,530 --> 00:07:30,670 +من هذا القانون، لما هذه تروح، صح؟ هذه بتروح في حالتين + +91 +00:07:30,670 --> 00:07:32,990 +لأ، أقل أو تساوي صفر، لأ، أقل أو تساوي صفر، طب أقل أو تساوي + +92 +00:07:32,990 --> 00:07:37,110 +صفر ما في عندي مصنع بيعطيني small يعني R بتساوي + +93 +00:07:37,110 --> 00:07:40,750 +zero، بالتالي أنا بقدر أقول أن V بتساوي Epsilon لما هذه + +94 +00:07:40,750 --> 00:07:44,710 +تساوي zero، I، طب وI وقتها مش بتساوي صفر لما الدائرة + +95 +00:07:44,710 --> 00:07:48,130 +كلها مفتوحة، بالتالي احنا بنقول أن Epsilon تساوي + +96 +00:07:48,130 --> 00:07:53,230 +فرق الجهد بين طرفي البطارية في الدوائر المفتوحة، من + +97 +00:07:53,230 --> 00:07:55,830 +هذه المقارنة، من الواضح أن الـEMF هو مقارنة + +98 +00:07:55,830 --> 00:08:01,590 +البطارية، البطارية في دائرة مفتوحة، مفتوحة، مفتوحة، + +99 +00:08:01,590 --> 00:08:07,790 +مفتوحة، مفتوحة، مفتوحة، مفتوحة، مفتوحة، مفتوحة. + +100 +00:08:07,970 --> 00:08:12,610 +بتكون الـV وE بساوي بعض، طبعاً هذا قانون احنا غالباً + +101 +00:08:12,610 --> 00:08:16,450 +بالـchapter أغلب الأسئلة هيقولك أن البطارية + +102 +00:08:16,450 --> 00:08:19,930 +مقاومتها الداخلية مهملة، فغالباً المقاومات الداخلية + +103 +00:08:19,930 --> 00:08:23,210 +هتكون zero اللي هي هذه، وفي الآخر بالنسبة لي أن + +104 +00:08:23,210 --> 00:08:27,210 +المقاومة هذه هي مقاومة بعملها زي أي معاملة لهذه + +105 +00:08:27,210 --> 00:08:29,970 +بتكون رقمها صغير، وهذه رقم كبير مش قضية، لكن في + +106 +00:08:29,970 --> 00:08:32,550 +النهاية دي مقاومتنا متصلة على التوالي، وبتعامل + +107 +00:08:32,550 --> 00:08:35,830 +معهم على هذا الأساس، وبأُقِلّ القوانين اللي لها معنى + +108 +00:08:35,830 --> 00:08:42,250 +أننا نحفظها كقوانين عامة، هي قوانين نشتغلها وبتتعلق + +109 +00:08:42,250 --> 00:08:47,810 + بباقي القوانين تبعات الـchapter، طبعاً برضه هنا بنقدر + +110 +00:08:47,810 --> 00:08:55,230 + نقول أن VAB وVCD بيساوي بعض ولا لأ يا شباب، هل VAB + +111 +00:08:55,230 --> 00:09:03,950 +بيساووا VCD ولا لأ، نفسها، لأن B وD نقطة واحدة، وA + +112 +00:09:03,950 --> 00:09:09,710 +و C نقطة واحدة، متصلين بسلك، تمام؟ فهل VCD بتساوي + +113 +00:09:09,710 --> 00:09:14,870 +capital I في الـR ولا لأ؟ إذا أنا هذه ممكن اسمّيها + +114 +00:09:14,870 --> 00:09:20,030 +بتساوي capital I في الـR، تمام، إذا I إيش بتساوي؟ + +115 +00:09:20,030 --> 00:09:25,570 +لو جيت هذه هنا Epsilon على small r زي الـcapital R على + +116 +00:09:25,570 --> 00:09:29,290 +طوله، هو طبعاً ما هي شغلة منطقية، هو كان مقاومة في + +117 +00:09:29,290 --> 00:09:32,430 +الدائرة، في الآخر تنتهي كما توصلنا على التوالي + +118 +00:09:32,430 --> 00:09:38,270 + وبالتالي وكانهم عارفين ومجمعين، تمام، فبيقول لي at the + +119 +00:09:38,270 --> 00:09:40,390 +connecting wires have no resistance we conclude + +120 +00:09:40,390 --> 00:09:43,830 +that the voltage V must always equal the potential + +121 +00:09:43,830 --> 00:09:46,650 +across the load resistor that is V بساوي I في + +122 +00:09:46,650 --> 00:09:49,150 +الـR اللي أنا حاطّها هناك، ومنها + +123 +00:09:58,860 --> 00:10:03,120 +مثال بسيط على هالقضية بيقول a battery has an EMF + +124 +00:10:03,120 --> 00:10:08,580 +of 12 volt and an internal resistance of 0.05 ohm + +125 +00:10:08,580 --> 00:10:11,560 +its terminals are connected to a load resistance + +126 +00:10:11,560 --> 00:10:14,660 +of 3 ohm، طبعاً واضح أن الـinternal resistance دائماً + +127 +00:10:14,660 --> 00:10:19,250 +بتكون صغيرة، 0.05، ولكن المقاومة الخارجية اللي هي + +128 +00:10:19,250 --> 00:10:23,950 +جهاز أبقى عن ثلاثة ومش بده، بيقول find I، بده + +129 +00:10:23,950 --> 00:10:27,330 +التيار، and the terminal voltage of the battery، و + +130 +00:10:27,330 --> 00:10:30,310 +بده فرق جهد بين طرفي البطارية، هنشوف إنه بيساويش + +131 +00:10:30,310 --> 00:10:34,350 +12 volt، يا شباب أقل من 12 volt، تمام، calculate the + +132 +00:10:34,350 --> 00:10:36,790 +power delivered to capital R، small r، and the + +133 +00:10:36,790 --> 00:10:41,090 +battery، بدو الـpower إيش؟ احنا القانون اللي توا + +134 +00:10:41,090 --> 00:10:45,630 +حكيناه لسه، عشان نجيب التيار، فنجيب التيار بساوي 3.93 + +135 +00:10:45,630 --> 00:10:48,970 +امبير، عشان نجيب فرق الجهود بنقول فرق الجهود بساوي + +136 +00:10:48,970 --> 00:10:51,850 +Epsilon ناقص IR، وبرضه هذه الشغلات اللي بتتعلم فيها + +137 +00:10:51,850 --> 00:10:54,970 +قوانين كيرشوف بتصير شغلة معروفة، وما بدنا نحفظ هذه + +138 +00:10:54,970 --> 00:11:00,310 +القوانين كلها إطلاقاً، مش بساطة قدامها، هذه الـ12 ناقص + +139 +00:11:00,310 --> 00:11:05,850 +الرقم هذه، فتظهر على 11.8 volt، فرق بسيط جداً، لأن الـ + +140 +00:11:05,850 --> 00:11:09,610 +internal resistance أصلاً صغيرة خالص 0.05، وبالتالي + +141 +00:11:09,610 --> 00:11:13,030 +ما فيش فرق ما بين فرق الجهد والـEMF إلا 0.2 volt + +142 +00:11:13,800 --> 00:11:17,980 +بالنسبة للـpower يا شباب، الـpower اللي راح على الـ + +143 +00:11:17,980 --> 00:11:23,200 +capital R 46.3 واط، والـpower اللي راح على الـ + +144 +00:11:23,200 --> 00:11:28,100 +small r 0.7721، طبعاً واحد بيقولك هذه power يعني + +145 +00:11:28,100 --> 00:11:32,100 +طاقة، من وين اجت؟ احنا عارفين أن الطاقة محفوظة، من + +146 +00:11:32,100 --> 00:11:36,820 +وين اجت هذه الـpower؟ من البطارية، بالتالي المفروض لو + +147 +00:11:36,820 --> 00:11:40,480 +اجمعهم هو نفس الـpower تبع البطارية، لو جبت الـ + +148 +00:11:40,480 --> 00:11:45,460 +power تبع البطارية عبارة عن I في V لجهتها 47.1، اجمع + +149 +00:11:45,460 --> 00:11:50,410 +هدول هما نفسهم هدول، وهذه الشغلة الطبيعية، أنه + +150 +00:11:50,410 --> 00:11:53,890 +بيقول Epsilon بيساوي P capital R زي P small r، علشان هيك + +151 +00:11:53,890 --> 00:11:55,690 +يا شباب، مرة واحدة، أما يكون في عندنا الـgenerator اللي + +152 +00:11:55,690 --> 00:12:00,190 +في الدار، نفترض بيشغل على ثلاثة كيلو، لو احنا حاطّين + +153 +00:12:00,190 --> 00:12:03,250 +أجهزة خمسة كيلو مستحيل يشتغلوا، لأنهم بيجيبوا + +154 +00:12:03,250 --> 00:12:06,570 +طاقة، في النهاية طاقة بتديك طاقة، هذا الـgenerator + +155 +00:12:06,570 --> 00:12:10,670 +الـmaximum اللي بيقدر يعطيه نفترض ثلاثة كيلو واط، + +156 +00:12:10,670 --> 00:12:13,930 +أكثر من ثلاثة كيلو واط ما بيقدرش يشغل، لأن أنا بأخذ + +157 +00:12:13,930 --> 00:12:18,180 +طاقة من مصدر طاقة خلّص، الطاقة بقى مش هتشتغل، وبالتالي + +158 +00:12:18,180 --> 00:12:21,360 +بناء على ذلك، طبعاً احنا عندنا generator وكأنه هنا + +159 +00:12:21,360 --> 00:12:29,470 +بطارية، تمام يعني الـchapter اللي وراه، العنوان + +160 +00:12:29,470 --> 00:12:33,210 +الأصلي اللي بنبدأ فيه هو resistors in series and + +161 +00:12:33,210 --> 00:12:37,010 +in parallel، كيف بدّه يوصل المقاومات زي ما وصلنا + +162 +00:12:37,010 --> 00:12:40,890 +المكثفات على التوالي والتوازي، برضه المقاومات تتوصل + +163 +00:12:40,890 --> 00:12:44,570 +على التوالي والتوازي، طبعاً احنا حكينا في المكثفات + +164 +00:12:44,570 --> 00:12:48,990 +يا شباب، أن عشان اتنين capacitors تتوصلوا على التوالي + +165 +00:12:48,990 --> 00:12:53,960 +بتكون Q equivalent بتساوي Q واحد بتساوي Q اتنين، نفس + +166 +00:12:53,960 --> 00:12:58,740 +المادة ما بتتغيرش، بس الـQ هناك صارت متحركة، إذا + +167 +00:12:58,740 --> 00:13:05,320 +استبدلناها بإيش؟ بالتيار، فمبدأ التوالي اللي كان في + +168 +00:13:05,320 --> 00:13:08,720 +الـcapacitors هو نفسه مبدأ التوالي في الـresistance + +169 +00:13:08,720 --> 00:13:12,980 +بس مجرد + +201 +00:15:27,530 --> 00:15:30,450 +عندي القانون اللي احنا عارفينه أنه R equivalent + +202 +00:15:30,450 --> 00:15:38,650 +equal R1 plus R2 R1 plus R2 تمام الباراليل الباراليل + +203 +00:15:38,650 --> 00:15:43,960 +يشوف كيف يتوصلوا على التوازي هي مقامتين متواصلين + +204 +00:15:43,960 --> 00:15:47,920 +على التوازي وليه دي نتطلع يا شباب احنا حكينا عشان + +205 +00:15:47,920 --> 00:15:50,800 +أن مكثفين على التوازي بده يروح من ال plate ل plate + +206 +00:15:50,800 --> 00:15:53,400 +إذا راحت من ال plate ل plate بدون ما تعمل لا ع مقاومة + +207 +00:15:53,400 --> 00:15:56,740 +ولا ع بطارية ولا ع مكثف بيكون له نفس القضية + +208 +00:15:56,740 --> 00:16:00,300 +هنا نفس العملية بدي ل plate ل plate طرف لطرف هيت + +209 +00:16:00,300 --> 00:16:05,480 +أنا عندي هي الطرف وهي الطرف بقدر أمشي منها لها من + +210 +00:16:05,480 --> 00:16:12,320 +واحد لاتنين ومن تلاتة لاربعة بدون ما ..أبور لعب + +211 +00:16:12,320 --> 00:16:15,420 +مقاومة و لعب مكثف و لعب بطارية آه من واحد لاتنين سلك + +212 +00:16:15,420 --> 00:16:19,380 +موصلهم و تلاتة و أربع سلك موصلهم إذا بقول الجهد + +213 +00:16:19,380 --> 00:16:24,240 +V1 بيساوي جهد V2 و بيساوي جهد AB إذا هذا هو شرط + +214 +00:16:24,240 --> 00:16:28,600 +التوازي أن V equivalent between A and B equal V1 + +215 +00:16:28,600 --> 00:16:34,620 +across R1 and V2 across R2 هذا هو شرط التوازي + +216 +00:16:34,620 --> 00:16:40,850 +متحقق بهذه الرسمة بالنسبة للتيارات I equivalent + +217 +00:16:40,850 --> 00:16:45,910 +split into I1 and I2 بتتوزع، طبعا بتتوزع مش بضرورة + +218 +00:16:45,910 --> 00:16:48,530 +أي واحد يتساوى على أي اثنين شباب، إذا .. وقتيش + +219 +00:16:48,530 --> 00:16:51,750 +بتكون أي واحد بتساوي على أي اثنين، إذا ارواحك بتساوي + +220 +00:16:51,750 --> 00:16:55,740 +على اثنين تمام، إذا الـpotential drop across R1 and + +221 +00:16:55,740 --> 00:16:58,860 +R2 are equal and must equal to the potential + +222 +00:16:58,860 --> 00:17:01,660 +difference or the potential drop across any + +223 +00:17:01,660 --> 00:17:05,200 +equivalent resistor connected between A and B، + +224 +00:17:05,200 --> 00:17:09,640 +that is V equivalent equal V1 or equal V2. بالنسبة + +225 +00:17:09,640 --> 00:17:12,400 +للتيار، it is clear that the total current splits + +226 +00:17:12,400 --> 00:17:15,880 +into two currents such that I equivalent equal I1 + +227 +00:17:15,880 --> 00:17:21,330 +plus I2. نرجع لهذا القانون I بتساوي V على R إذا ما I + +228 +00:17:21,330 --> 00:17:23,670 +equivalent بتساوي V equivalent على R equivalent و + +229 +00:17:23,670 --> 00:17:29,410 +I1 equal V1 على R1 و I2 equal V2 over R2 هذه + +230 +00:17:29,410 --> 00:17:32,770 +المعادلة المعادلة بتقول ال bus كله بضيح وبالتالي + +231 +00:17:32,770 --> 00:17:36,170 +بصي لعندي المعادلة تباعت التوازي في لاي مشكلة + +232 +00:17:36,170 --> 00:17:43,770 +مافيش أي حاجة جديدة بالنسبة للتوالي والتوازي خلينا + +233 +00:17:43,770 --> 00:17:47,270 +نحل هالمثال بقول في عندك هالرسمة المتكونة من four + +234 +00:17:47,270 --> 00:17:51,880 +resistances لدينا أربع مقاومات مع القيم المظهرة في + +235 +00:17:51,880 --> 00:17:58,600 +الفيجارة ونحتاج أن نجد الـ R المميزة بين A وC ماهي + +236 +00:17:58,600 --> 00:18:06,640 +المقاومة المميزة بين مقاومة A وC الـR المميزة وماذا + +237 +00:18:06,640 --> 00:18:10,320 +يعني ماهي الحركة في كل مقاومة إذا كانت الفرصة + +238 +00:18:10,320 --> 00:18:15,210 +الممكنة of 42 volts is maintained between A and C + +239 +00:18:15,210 --> 00:18:20,010 +إذا كان فرق الجهد بين A وC 42 volts لم يجد طيار في + +240 +00:18:20,010 --> 00:18:23,390 +كل مقاومة زي ما حللنا مثلا مرات هذه كانت شحنات و + +241 +00:18:23,390 --> 00:18:30,410 +نرجع رجوع شوية الآن كيف هدول متواصلين هدول توازي + +242 +00:18:30,410 --> 00:18:34,330 +التوازي + +243 +00:18:34,330 --> 00:18:43,490 +معروفة معاشي و هدول ناهيطيب هدول كيف صاروا؟ طول + +244 +00:18:43,490 --> 00:18:48,390 +كده جيش؟ 14 إذا أنا من دون محله أي حاجة اعرصنا + +245 +00:18:48,390 --> 00:18:54,490 +بطلع كل المطلوب مني طيب الانش بيقول ليه هدول نخطين + +246 +00:18:54,490 --> 00:18:59,390 +شباب A و C كده فرق جهد بينهم؟ عشان أعطاني فرق + +247 +00:18:59,390 --> 00:19:04,970 +الجهد الكل إذا أنا ببدأ من هنا كده طيار هنا؟ 42.44 + +248 +00:19:04,970 --> 00:19:08,990 +ثلاثة إذا أنا هأجي ال 42 فورت نقطة يعني إذا كده + +249 +00:19:08,990 --> 00:19:14,520 +تيار ثلاثة انبهار طيب كيف بدي أرجع الجهود بقول هذا + +250 +00:19:14,520 --> 00:19:19,140 +كيف بتواصلين ونفس التوالي شرطه إذا هذه كده + +251 +00:19:19,140 --> 00:19:24,260 +اشتيارها وهذه إذا هذه تلاتة هذه تلاتة ثانية طيب + +252 +00:19:24,260 --> 00:19:29,790 +هيكي الموزيين توازي إذا هذه تلاتة و هذه تلاتة إذا + +253 +00:19:29,790 --> 00:19:34,350 +هذه تلاتة و هذه تلاتة تفضلوا كيف جيه؟ توازي .. + +254 +00:19:34,350 --> 00:19:38,290 +التوازي عشان رايحة ليش شرطه؟ مساوات ايش؟ طب جيه + +255 +00:19:38,290 --> 00:19:42,890 +الفولت؟ تقدر تجيب الجهد ليها؟ أكتر فولت؟ دي + +256 +00:19:42,890 --> 00:19:47,310 +بالثورة أو الفورة؟ ستة فولت صحيح أو لا؟ إذا جدش + +257 +00:19:47,310 --> 00:19:52,010 +هذه جهدها؟ و هذي؟ و انجليش طلع رأيها دي؟ و هذي؟ + +258 +00:19:53,180 --> 00:19:57,740 +Aggregation يجب أحو؟ تلاتة فبتكون العملية سهلة + +259 +00:19:57,740 --> 00:20:01,060 +بدون أي إشكال وهاي الصور بدون محيل أي حاجة وإذا + +260 +00:20:01,060 --> 00:20:04,180 +الإجابات صحيحة ببطلعش لع قوانين ولا ايش عملته ولا + +261 +00:20:04,180 --> 00:20:07,580 +سويته بس إذا إجابة خاطرة بدي أدور على قوانين عساس + +262 +00:20:07,580 --> 00:20:14,520 +أنه لو خطأ حسابي ما يكونش فيه تركيز لأن خطأ الحساب + +263 +00:20:14,520 --> 00:20:16,540 +اللي أنا ما بركزش عليه كثير + +264 +00:20:37,110 --> 00:20:41,790 +من a ل c من b هدفنا توازن + +265 +00:20:46,230 --> 00:20:50,790 +لأ التوالي؟ ليش؟ أنت ما شوف تيار هنا يعمل splitting + +266 +00:20:50,790 --> 00:20:55,870 +هنا و هنا؟ إذا مش توالي؟ حتى لو على نفس الخطّة، + +267 +00:20:55,870 --> 00:21:02,990 +هجيتها؟ + +268 +00:21:02,990 --> 00:21:07,710 +ارواح وردتني التوالي؟ لأ، هي على نفس الخطّة، إذا + +269 +00:21:07,710 --> 00:21:10,390 +أنا كيف بدي أحكم عليهم توالي و توالي؟ عصي على + +270 +00:21:10,390 --> 00:21:13,950 +الرسمة؟ بيجيب بقالي ولا فوق بقى؟ لأ، يعني خليني + +271 +00:21:13,950 --> 00:21:14,610 +أقولك التالي + +272 +00:21:23,530 --> 00:21:28,630 +هيبقوا معاك؟ كيف هتقول؟ هعرفوا بعض؟ صار توازي؟ لأ، + +273 +00:21:28,630 --> 00:21:33,290 +توازي أيضا مش الرسم اللي بتخلينا نقول توازي و + +274 +00:21:33,290 --> 00:21:37,010 +توازي قالنا شرط التوازي تساوي التيارات و شرط + +275 +00:21:37,010 --> 00:21:41,830 +التوازي تساوي الجهود إذا التيارات توزع، هل هذا يعني + +276 +00:21:41,830 --> 00:21:46,800 +أنه توازي؟ لأ، إذا توزع التيار شباب من جول مش + +277 +00:21:46,800 --> 00:21:51,040 +توالي، لكن مش بالضرورة توازي، يعني القضية مش أبيض + +278 +00:21:51,040 --> 00:21:54,400 +أو أسود، إذا مش أبيض معناته أسود، لأ، فيه له و + +279 +00:21:54,400 --> 00:21:59,020 +أبيض و هو أسود، فيه رمادي، تمام؟ هنا، هجد فيه أي + +280 +00:21:59,020 --> 00:22:03,020 +واحد بيقدر يقول لي أي كنتين من هدول من تصفير توالي + +281 +00:22:03,020 --> 00:22:07,560 +أو توازي؟ هذه الوصفة مافيش فيها لا توالي ولا توازي + +282 +00:22:07,560 --> 00:22:12,280 +هذه أخدتش عن خاصة أنا أخدتكم الأرقام بقول هذه و + +283 +00:22:12,280 --> 00:22:15,640 +هذه مش توازي لإن هنا في مقاومة ما أقدرش أصل من هال + +284 +00:22:15,640 --> 00:22:20,120 +لهال دون المرور بالمقاومة ونفسي عن أيه هدول هدول + +285 +00:22:20,120 --> 00:22:24,140 +التوافقنة مش توالي ولا هدول توالي لهدول مش توازي + +286 +00:22:24,140 --> 00:22:26,400 +لإن هما فيه مقاومة بينهم بالتالي مافيش عندي أنا لا + +287 +00:22:26,400 --> 00:22:29,400 +توالي ولا توازي طبعا هذه لو انها القانون خرب شكل + +288 +00:22:29,400 --> 00:22:33,330 +بدي أحلها بحلها عن طريق قانون Kirchhoff قوانين كيرشوف + +289 +00:22:33,330 --> 00:22:36,790 +بتحلها طبعا في سؤال في الكتاب حاطط أرقام مختلفة + +290 +00:22:36,790 --> 00:22:40,970 +حاطط هنا 3 أو هنا 4 وشغلها زي أيه ويقولك حلها طبعا + +291 +00:22:40,970 --> 00:22:46,010 +هذه بتتنحل فيها سبع معادلات في سبع مجاهيل بتنحل + +292 +00:22:46,010 --> 00:22:53,110 +كمان؟ كيرشوف أما هذه السؤال حاجة خاصة جهر خلينا + +293 +00:22:53,110 --> 00:22:56,290 +واحدة واحدة نفترض أنا في عند شباب جاي طيار من هناك + +294 +00:22:57,670 --> 00:23:01,710 +بدي يصير عليه splitting ولا لا؟ حلو، بدي توزع، بدي + +295 +00:23:01,710 --> 00:23:06,470 +يروح جزء هنا و جزء هنا، مين ياخد أكبر؟ جبار، لأنه + +296 +00:23:06,470 --> 00:23:09,590 +هادي واحد و هادي واحد، إذا هادي عالق، خلاص، جال + +297 +00:23:09,590 --> 00:23:13,030 +حلو، نقطة هادي عبارة عن I بتساوي، خليني أقول + +298 +00:23:13,030 --> 00:23:17,730 +ثمانية أمبير، إذا هنا كده الصراط، وهنا؟ طيب، يلا + +299 +00:23:17,730 --> 00:23:22,730 +نشوف فرق الجهد بين A وC كده، 4 في 1، 4 volt ولا + +300 +00:23:22,730 --> 00:23:30,980 +لا؟ هادي 4 volt، فبهادي طب هذه 4 volt مش هي VC + +301 +00:23:30,980 --> 00:23:41,660 +نفترض أو VA ناقص VC بيساوي 4 volt طيب و VA ناقص VD + +302 +00:23:41,660 --> 00:23:47,820 +برضه تنتين بيساوي 4 volt طبعا طبعا بقدر أقول أن هذه + +303 +00:23:47,820 --> 00:23:56,680 +ما حد بتروح إذا VC بيساوي VD طيب؟ طيب من هنا بقدر + +304 +00:23:56,680 --> 00:24:06,540 +أقول أن VD-VC يساوي 0 ايش معناته أنه مزال هنا فرق + +305 +00:24:06,540 --> 00:24:10,920 +جهد Zero وفرق الجهد بيساوي I في ال R و ال R هي + +306 +00:24:10,920 --> 00:24:16,940 +موجودة خمسة إذا مش هو 0 R إذا هنا بيمرج تيار هنا + +307 +00:24:16,940 --> 00:24:20,180 +بيمرج تيار طيب ايش معناته اثنين اللي هم نفس + +308 +00:24:20,180 --> 00:24:23,360 +الجهد بقول هدوة كانوا مصطلين بسلك يعني جيبت سلك + +309 +00:24:23,360 --> 00:24:23,780 +زي هيك + +310 +00:24:27,130 --> 00:24:31,330 +أفرض معايا نفس العملية لما حط السلك هنا بضمن أن Vc + +311 +00:24:31,330 --> 00:24:35,150 +بيساوى Vd وهذه زي وكأنها سلكي فبين الصرف هذى؟ بيقول + +312 +00:24:35,150 --> 00:24:38,670 +هذى ولا كأنها موجودة ولا كأنها موجودة ده بيجي + +313 +00:24:38,670 --> 00:24:42,030 +الطياب بفوت هنا ولا بفوت هنا؟ بفوت هنا بفوتش هنا + +314 +00:24:42,030 --> 00:24:45,480 +بقى مرة وكأن هذى بتعفن مانا عايز وجوده هذه حالة + +315 +00:24:45,480 --> 00:24:48,960 +خاصة ليش لو هذه واحد وهذه واحد لو هذه .. مش واحد + +316 +00:24:48,960 --> 00:24:51,680 +.. هذه خمسة وهذه تلاتة .. هذي الكلام كله مصيرش + +317 +00:24:51,680 --> 00:24:55,860 +مصير أن الـ5 في فاقة جاية هنا ما بتبه مرة في تيار + +318 +00:24:55,860 --> 00:24:59,840 +فاهمين؟ إذا الشغل حالة خاصة ما هيش إليها قاعدة + +319 +00:24:59,840 --> 00:25:04,380 +إطلاقا تمام فإيش بيقولي؟ بيقول because of the + +320 +00:25:04,380 --> 00:25:09,360 +symmetry إذا شباب because of the symmetry عشان فيه + +321 +00:25:09,360 --> 00:25:13,710 +symmetry دائما بيكون فيه symmetry؟ لازم سؤال + +322 +00:25:13,710 --> 00:25:16,750 +امتحان لما كان فيه عنده يبتكوم ربا دويرة و بقتل + +323 +00:25:16,750 --> 00:25:21,130 +فيه symmetry .. خلاص .. مش بيعني المثال فيه + +324 +00:25:21,130 --> 00:25:23,450 +symmetry بيبقى نفسي من ال symmetry .. لأ ما فيه + +325 +00:25:23,450 --> 00:25:25,530 +symmetry .. اشتغلت في دي ثورة .. هو كان يلغي + +326 +00:25:25,530 --> 00:25:28,630 +مراقبة .. هو كان اشتغل تقريش .. بجيب كده .. فجيب + +327 +00:25:28,630 --> 00:25:32,810 +السيني و الصابير .. بتقريش بده جيه ..تمام؟ هاي + +328 +00:25:32,810 --> 00:25:36,150 +المشكلة بتفسيرها في المثال تمام؟ because of the + +329 +00:25:36,150 --> 00:25:38,570 +symmetry in the circuit هدى بيختارها و بيحطوها + +330 +00:25:38,570 --> 00:25:41,210 +التلاتة هل هي اللي بيعمله اللي هدى بيعمله في أي + +331 +00:25:41,210 --> 00:25:44,090 +سؤال؟ لأ إذا هدى حالة خاصة because of the symmetry + +332 +00:25:44,090 --> 00:25:46,150 +in the circuit وين ال symmetry؟ بيقولوا واحد و + +333 +00:25:46,150 --> 00:25:49,750 +واحد واحد و واحد if they عندي symmetry the current + +334 +00:25:49,750 --> 00:25:54,650 +in the branches A and C and E and D must be equal + +335 +00:25:54,650 --> 00:25:58,170 +من هنا بدأت إن التيار اللي هي مازي بيساوي التيار + +336 +00:25:58,170 --> 00:26:01,900 +اللي ها عشان تساوي واحدة و اثنين and hence the + +337 +00:26:01,900 --> 00:26:06,020 +point C and D have the same potential اللي طبعا و + +338 +00:26:06,020 --> 00:26:08,920 +أنا وياكم جبنا VCD بالساوي سخيرة that if the + +339 +00:26:08,920 --> 00:26:11,980 +circuit can be reduced as in the figure بدي أحط + +340 +00:26:11,980 --> 00:26:18,220 +سليكي الآن جاني هيك بالسيرك هذا RT شوف CD ايش طبعا + +341 +00:26:18,220 --> 00:26:23,000 +اللي ساويتهم فيه لذقتهم بعض C وD لذقتهم مضبعة، جيبت + +342 +00:26:23,000 --> 00:26:26,880 +سلك و لذقتهم، و هذيك طلعت فوق ملاي دي عوان، عفنة، + +343 +00:26:26,880 --> 00:26:31,220 +بتعفن، بساط، ولا إلها أهمية، يعني هذي، هذي، + +344 +00:26:31,220 --> 00:26:34,760 +شايفين؟ فاحة، هذي خمسة ولا عشر ولا ثمانية ولا + +345 +00:26:34,760 --> 00:26:38,720 +تلاتة، بتفرق؟ ما هي مش مامور فيها تيار هجي في هذه + +346 +00:26:38,720 --> 00:26:43,300 +الدائرة صارت العملية سهلة بيقولي هادي و هادي هادي + +347 +00:26:43,300 --> 00:26:47,020 +ماريث بدون ما يقولوا على حاجة وهنا اصلا يا مارين + +348 +00:26:47,020 --> 00:26:51,860 +أن هدو كيف صاروا؟ توازي و هدو كيف صاروا؟ توازي إذا + +349 +00:26:51,860 --> 00:26:57,600 +الحال الخاص خلت في توازي توازي بالتوافر اللي صار + +350 +00:26:57,600 --> 00:27:04,060 +أن هدو بررين و هدو بررين والبررين نص ولا هك صار + +351 +00:27:04,060 --> 00:27:10,630 +تمام نص نص جيرد واحد تمام كمان مرة هذا مثال هذا + +352 +00:27:10,630 --> 00:27:14,170 +خاصة تعتمد على الأرقام الموجودة إذا اختلفت الأرقام + +353 +00:27:14,170 --> 00:27:18,770 +في هذا الحال بالضبط صحيح بمشي + +354 +00:27:18,770 --> 00:27:23,690 +هيك تمام و بكمل من هنا على طول بمشي هيك بتجمع + +355 +00:27:23,690 --> 00:27:27,630 +بعدين بتجمع وبعدين بتجمع تمام يعني هو بيجي بنقسم + +356 +00:27:27,630 --> 00:27:31,110 +هنا بتجمع وبعدين بتجمع هنا بعدين بتجمع وهناك + +357 +00:27:31,110 --> 00:27:35,910 +بيمر أي سيارة في المقاومة تمام + +358 +00:27:39,320 --> 00:27:42,360 +كمان مثال آخر على هذا الموضوع + +359 +00:27:49,140 --> 00:27:51,760 +بيقول لي three resistors are connected in parallel + +360 +00:27:51,760 --> 00:27:54,600 +as shown a potential difference of 18 volt is + +361 +00:27:54,600 --> 00:27:59,140 +applied across points A and B بيقول لي هذا سؤال + +362 +00:27:59,140 --> 00:28:02,920 +برضه أمثلة جايبها مع الأسف سهلة .. سهلة كثير في + +363 +00:28:02,920 --> 00:28:06,080 +أحد الأسئلة بدي أحاول أحله من أسئلة اللي شوية + +364 +00:28:06,080 --> 00:28:10,320 +بتغلب هذه .. كيف بتوصيها دو الشباب؟ هدول متواصلة + +365 +00:28:10,320 --> 00:28:13,420 +على التوازي وايش بده؟ بيقول لي find the current + +366 +00:28:13,420 --> 00:28:17,000 +in each resistor برضه هذا السؤال مالوش معنى لأنه + +367 +00:28:17,000 --> 00:28:18,700 +جدش فرق الجهد على التلاتة Ohm + +368 +00:28:28,660 --> 00:28:32,360 +أي واحد بيساوي ثمانية عشر على تلاتة أي اثنين بيساوي + +369 +00:28:32,360 --> 00:28:36,440 +ثمانية عشر على \ No newline at end of file diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..8d42e9d6746c64d513f8d5c61aad464b315cb794 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk_postprocess.srt @@ -0,0 +1,1544 @@ +1 +00:00:00,000 --> 00:00:02,680 +موسيقى + +2 +00:00:10,490 --> 00:00:14,390 +بسم الله الرحمن الرحيم هنبدأ اليوم بال chapter + +3 +00:00:14,390 --> 00:00:21,110 +السادس تحت عنوان direct current circuits يمكن + +4 +00:00:21,110 --> 00:00:26,770 +الموضوع الأول بدينا فيه المحاضرة الماضية وهو تحت + +5 +00:00:26,770 --> 00:00:31,330 +عنوان electromotive force أو القوة الدافعة + +6 +00:00:31,330 --> 00:00:34,570 +الكهربائية حكينا انه لما يكون في عندي انادية + +7 +00:00:34,570 --> 00:00:40,490 +كهربائية متكونة من بطارية و load resistorهيمر + +8 +00:00:40,490 --> 00:00:44,570 +التيار الكهربائي from the higher potential to the + +9 +00:00:44,570 --> 00:00:49,470 +lower potential as shown in the figure الان + +10 +00:00:49,470 --> 00:00:56,210 +الشحنات بتتحرك from P to A through capital R due + +11 +00:00:56,210 --> 00:01:03,150 +to the attraction and repulsive force between the + +12 +00:01:03,150 --> 00:01:06,230 +positive terminal and the negative terminal of the + +13 +00:01:06,230 --> 00:01:10,570 +battery and the positive chargeبالتالي حركة + +14 +00:01:10,570 --> 00:01:14,970 +الشحنات من B لA بهذا الشكل هي حركة طبيعية بفعل + +15 +00:01:14,970 --> 00:01:19,490 +القوة الكارو استاتيكية المشكلة انه كيف انا بدي + +16 +00:01:19,490 --> 00:01:26,390 +حرقه الآن من A لB عشان يصل لB لابد انه يتجاوز + +17 +00:01:26,390 --> 00:01:32,740 +القطب الموجب للبطارية وهذه شحنات موجبة الاصلهو + +18 +00:01:32,740 --> 00:01:36,060 +الكعرق الستاتيكية اللى موجودة هي قوة تنافر ما بين + +19 +00:01:36,060 --> 00:01:40,040 +الشحن الموجب وقطب الموجب اذا معناته انا بدي جهاز + +20 +00:01:40,040 --> 00:01:49,820 +يعمل دفع from A to Bلذلك لتشغيل الحركة عن طريق عرض + +21 +00:01:49,820 --> 00:01:56,020 +مغلق يجب أن تشغيل الحركة من A إلى B لازم يكون هذه + +22 +00:01:56,020 --> 00:02:00,860 +الحركة هي حركة غير طبيعية هذه الحركة ضد القوة + +23 +00:02:00,860 --> 00:02:05,320 +الكهروستاتيكية قوة التنافر اللي موجودة ما بين + +24 +00:02:05,320 --> 00:02:09,720 +الشحنة الحمرة اللي بتتحرك و القطب الموجب للبطارية + +25 +00:02:09,720 --> 00:02:14,880 +زي بالظبط حكاية الميه كيف يدخل الأعلى ضد الجاذبية + +26 +00:02:14,880 --> 00:02:23,280 +الأرضيةهذا يعني أننا بحاجة لدراسة ممكنة تدفع حرارة + +27 +00:02:23,280 --> 00:02:28,600 +من أعلى حرارة إلى أعلى حرارة وبالتالي في عندنا الـ + +28 +00:02:28,600 --> 00:02:32,940 +Electromotive Force أو الـ IMF بمعنى المختصر واللي + +29 +00:02:32,940 --> 00:02:37,640 +رمزه من يوم ما طالع هيكون capital Epsilon واتفقنا + +30 +00:02:37,640 --> 00:02:42,840 +ال IMF source هم البطاريات و الجنراتورطبعا من + +31 +00:02:42,840 --> 00:02:48,180 +العصمة اللي حكيناها انه اتجاه الدفع بيكون من + +32 +00:02:48,180 --> 00:02:52,840 +الواطي للعالي وبالتالي القوة الدافعة الكهربائية + +33 +00:02:52,840 --> 00:02:56,300 +دايما بيكون متجهة من القطب السالب الى القطب المالي + +34 +00:02:56,300 --> 00:03:00,940 +موجب للبطارية therefore is always directed from + +35 +00:03:00,940 --> 00:03:04,740 +the negative terminal to the positive terminal of + +36 +00:03:04,740 --> 00:03:10,980 +the batteryتمام وهذا كله حكيناه ان هو عبارة عن ضخ + +37 +00:03:10,980 --> 00:03:15,940 +للشحنات و بالظبط زي ما الميه تضخ بواسطة مضخة او + +38 +00:03:15,940 --> 00:03:21,120 +احنا نسميها الموتور عكس الجاذبية الأرضية الان بدنا + +39 +00:03:21,120 --> 00:03:25,640 +نحكي شغلة تانية انه انا اتفقت ان هذه البطارية + +40 +00:03:25,640 --> 00:03:31,040 +بترفعلي الشحنات من الواطي للعالي طيب هذا الجلم لما + +41 +00:03:31,040 --> 00:03:37,100 +نرفعه من هالهانبيكتسب طاقة ولا بيفقد طاقة؟ بيكتسب + +42 +00:03:37,100 --> 00:03:41,660 +طاقة مازال منتقل من الواطي للعالي بيكتسب طاقة اذا + +43 +00:03:41,660 --> 00:03:46,560 +في عندي حركتين من هال لهان ثم من هال لهان هاجد + +44 +00:03:46,560 --> 00:03:50,480 +شباب هذه المقاومة و هذه المقاومة عشان التيار بيمشي + +45 +00:03:50,480 --> 00:03:52,840 +هيك و احنا عارفين التيار بيمشي من الجهد الاعلى + +46 +00:03:52,840 --> 00:03:55,420 +لجهد الاقل و هذه نفس العملية + +47 +00:03:58,360 --> 00:04:02,180 +الشحنات تنتقل من الواطي للعالي هنا ثم تنتقل من + +48 +00:04:02,180 --> 00:04:07,520 +العالي للواطي هناك فبالتالي مرة تختسب ثم تفقد طاقة + +49 +00:04:07,520 --> 00:04:12,980 +او من اخر جهود فبواي انا positive in charge moving + +50 +00:04:12,980 --> 00:04:19,490 +from A to B من هنا ل هنا بس من هنا ل هنامن هن لهن + +51 +00:04:19,490 --> 00:04:24,030 +هذه بيصير في عملية كسب للجهود للمنواطي للعالي + +52 +00:04:24,030 --> 00:04:27,770 +بيقول any positive charge moving from a to b will + +53 +00:04:27,770 --> 00:04:31,510 +gain a potential طبعا احنا بيقول طاقة او potential + +54 +00:04:31,510 --> 00:04:34,230 +واحد لان ال potential جاي من الطاقة اصلا بيجسم + +55 +00:04:34,230 --> 00:04:38,790 +عكيه بتطلع هو الجهودأبسلون كمية ايبسلون كما تتجه + +56 +00:04:38,790 --> 00:04:42,450 +من الهاتف المفقود إلى الهاتف المفقود من البطارية + +57 +00:04:42,450 --> 00:04:46,890 +طيب الان انا بدي اكمل انا و اصل النقطة بيه ايه + +58 +00:04:46,890 --> 00:04:52,430 +بيصير هتفقد جهود هتفقد جهود فديش بيسوي جهود اللي + +59 +00:04:52,430 --> 00:04:56,570 +هتفقده فديك اتفقنا انه ابسلون لكن الجهود اللي هناك + +60 +00:04:56,570 --> 00:04:59,990 +ممكن اجيبه من قانون OM شباب ان جهود بيسوي I for + +61 +00:04:59,990 --> 00:05:06,060 +small rأذن however it will lose a potential I in + +62 +00:05:06,060 --> 00:05:09,960 +small r as it passes through the internal resistor + +63 +00:05:09,960 --> 00:05:12,440 +where I is the current in the circuit + +64 +00:05:25,080 --> 00:05:28,880 +مش بيسوي هو عبارة عن فرق الجهد تبع البطارية و فرق + +65 +00:05:28,880 --> 00:05:31,840 +الجهد ما بين طرفي المقاومة الداخلية ولا لا، انا في + +66 +00:05:31,840 --> 00:05:35,980 +عندي فرقين جهد، فرق جهد هذا و فرق جهد ليها، هال من + +67 +00:05:35,980 --> 00:05:40,020 +واقعي لعالي في كسب موجب، هال من عالي لواقي في + +68 +00:05:40,020 --> 00:05:44,320 +سالب، اذا المجموع الجهد هيكون شباب بهذا الشكل + +69 +00:05:53,190 --> 00:05:59,810 +بالتالي فرق الجهد ما بين A وB هو عبارة عن Y ناقص I + +70 +00:05:59,810 --> 00:06:06,690 +في الـRتمام؟ طبعا هنا واضح شباب هذا فرق الجود بين + +71 +00:06:06,690 --> 00:06:11,250 +طرفي البطارية كلمة terminal هنا شباب ال terminal + +72 +00:06:11,250 --> 00:06:16,450 +معناته الطرف او القطب بالمعنى اخر طبعا ال terminal + +73 +00:06:16,450 --> 00:06:21,270 +معناته طرف بصورة اجمالية وحتى كلمة terminal بتعني + +74 +00:06:21,270 --> 00:06:26,210 +محطة لو انتوا مرت عليكم كلمة كلمة terminal معناته + +75 +00:06:26,210 --> 00:06:30,070 +محطة طبعا في المطارات نسموه terminals برضهالمهم + +76 +00:06:30,070 --> 00:06:34,370 +طبعا المحطات بيسموها terminals لأنه غالبا بتكون في + +77 +00:06:34,370 --> 00:06:37,190 +أطراف المدن عشان كده بقى هو في النهاية terminal + +78 +00:06:37,190 --> 00:06:42,310 +معناه أطراف وبالتالي طرفي البطارية هي كلمة + +79 +00:06:42,310 --> 00:06:46,050 +terminals فبالتالي هدول ال two terminals هم اللي + +80 +00:06:46,050 --> 00:06:49,550 +بيبينه لما أنا بدي أجيس فى فرق جود أي بطارية + +81 +00:06:49,550 --> 00:06:53,470 +بواسطة ال voltmeter أنا مافيش بوصله بوصله بالقطب + +82 +00:06:53,470 --> 00:06:57,200 +الموجة بالقطب السالب هذا فرق الجود هذا هوهل هو + +83 +00:06:57,200 --> 00:07:01,160 +إبسلون نفسها، بيقول لي مش دايما، إذا كان فيه + +84 +00:07:01,160 --> 00:07:04,480 +مقاومة داخلية، بيكون فرق الجهد بيكون أقل من + +85 +00:07:04,480 --> 00:07:08,320 +إبسلون، أقل من القوة الدافعة الكهربية، طبعا واضح + +86 +00:07:08,320 --> 00:07:13,350 +من القانون شباب إن هذه إيش وحدتهاVolt يعني مش قوة + +87 +00:07:13,350 --> 00:07:17,230 +دفعة كعربية وحدتها نيوتن لأ هدا هيك مصطلح عشان + +88 +00:07:17,230 --> 00:07:20,930 +اللي اللي مذاكرين انه في قوة دفعة انه بتدفع تعمل + +89 +00:07:20,930 --> 00:07:26,530 +pumping بالتالي V بتسوى Y نخس IR وواجتيش V بتسوى Y + +90 +00:07:26,530 --> 00:07:30,670 +من هذا القانونلما هدى تروح صح هدى بتروح في حالتين + +91 +00:07:30,670 --> 00:07:32,990 +لأ اقل اتساوي صفر لأ اقل اتساوي صفر طب اقل اتساوي + +92 +00:07:32,990 --> 00:07:37,110 +صفر مافيش عندي مصنع بيعطيني small يعني R بتساوي + +93 +00:07:37,110 --> 00:07:40,750 +zero بالتالي انا بقدر اقول ان V بتساوي Y لما هدى + +94 +00:07:40,750 --> 00:07:44,710 +اتساوي zero I طب و I وقتي مش تساوي صفر لما الدائرة + +95 +00:07:44,710 --> 00:07:48,130 +كلها مفتوحة بالتالي احنا بنقول ان Epsilon تساوي + +96 +00:07:48,130 --> 00:07:53,230 +فرق الجود من طرفين ضغطانيا في الدوائر المفتوحةمن + +97 +00:07:53,230 --> 00:07:55,830 +هذه المقارنة، من الواضح أن الـ Inf هو مقارنة + +98 +00:07:55,830 --> 00:08:01,590 +بطارية البطارية في مقارنة مفتوحة مفتوحة مفتوحة + +99 +00:08:01,590 --> 00:08:07,790 +مفتوحة مفتوحة مفتوحة مفتوحة مفتوحة مفتوحة + +100 +00:08:07,970 --> 00:08:12,610 +بتكون ال V و E بسوة بعض طبعا هذه قانون احنا غالبا + +101 +00:08:12,610 --> 00:08:16,450 +بال chapter اغلب الأسئلة هيقولك ان البطارية + +102 +00:08:16,450 --> 00:08:19,930 +مقاومتها الداخلية مهملة فغالبا المقاومات الداخلية + +103 +00:08:19,930 --> 00:08:23,210 +هتكون zero اللي هي هذه و في الآخر بالنسبالي ان + +104 +00:08:23,210 --> 00:08:27,210 +المقاومة هذه هي مقاومة بعملها زي اي معاملة هذه + +105 +00:08:27,210 --> 00:08:29,970 +بتكون رقمها صغير و هذه رقم كبير مش قضيةلكن في + +106 +00:08:29,970 --> 00:08:32,550 +النهاية دي مقاومتنا متواصلة على التوالي وبتعامل + +107 +00:08:32,550 --> 00:08:35,830 +معهم على هذه الأساس وباقتل القوانين اللي لها معنى + +108 +00:08:35,830 --> 00:08:42,250 +أننا نحفظها كقوانين عامة هي قوانين نشتغلها وبترتبط + +109 +00:08:42,250 --> 00:08:47,810 +بباقي القوانين تبعات الشبطة طبعا برضه هنا بنقدر + +110 +00:08:47,810 --> 00:08:55,230 +نقول ان VAB وVCD بيسووا بعضى ولا لأ يا شباب هل VAB + +111 +00:08:55,230 --> 00:09:03,950 +بيسووا VCD ولا لأنفسها لأن بي و دي نقطة واحدة و A + +112 +00:09:03,950 --> 00:09:09,710 +و C نقطة واحدة المصطلين بسلك تمام فهل VCD بتساوي + +113 +00:09:09,710 --> 00:09:14,870 +capital I في ال R ولا لأ؟ اذا انا هادي ممكن اسميها + +114 +00:09:14,870 --> 00:09:20,030 +بتساوي capital I في ال R تمام، اذا I ايش بتساوي؟ + +115 +00:09:20,030 --> 00:09:25,570 +لو جيت هدي هنا Y على small r زي ال capital R على + +116 +00:09:25,570 --> 00:09:29,290 +طولوهو طبعا ماهي شغلة منطقية هو كان مقاومة في + +117 +00:09:29,290 --> 00:09:32,430 +الدائرة في الآخر تنتهي كما توصلين على التوالي + +118 +00:09:32,430 --> 00:09:38,270 +وبالتالي وكان هم عارق ومجموح تمام فبقول لي at the + +119 +00:09:38,270 --> 00:09:40,390 +connecting wires have no resistance we conclude + +120 +00:09:40,390 --> 00:09:43,830 +that the voltage V must always equal the potential + +121 +00:09:43,830 --> 00:09:46,650 +across the load resistor that is V بالسوء I في + +122 +00:09:46,650 --> 00:09:49,150 +الار اللي انا حاطيته هناك ومنها + +123 +00:09:58,860 --> 00:10:03,120 +مثال بسيط على هالقضية بيقول لأ battery has an inf + +124 +00:10:03,120 --> 00:10:08,580 +of 12 volt and an internal resistance of 0.05 ohm + +125 +00:10:08,580 --> 00:10:11,560 +its terminals are connected to a load resistance + +126 +00:10:11,560 --> 00:10:14,660 +of 3 ohm طبعا واضح ان ال internal resistance دايما + +127 +00:10:14,660 --> 00:10:19,250 +بتكون صغيرة 0.05ولكن المقاومة الخارجية اللي هي + +128 +00:10:19,250 --> 00:10:23,950 +جهاز أبقى عن تلاتة ومش بده بيقول find I بده + +129 +00:10:23,950 --> 00:10:27,330 +الطيارة and the terminal voltage of the battery و + +130 +00:10:27,330 --> 00:10:30,310 +بده فرق جودة بين ثلاثية بطارية هنشوف إنه بيستويش + +131 +00:10:30,310 --> 00:10:34,350 +12 volt شباب أقل من 12 volt تمام calculate the + +132 +00:10:34,350 --> 00:10:36,790 +power delivered to capital R small r and the + +133 +00:10:36,790 --> 00:10:41,090 +batteryبدو ال power ايه احنا القانون اللى توا + +134 +00:10:41,090 --> 00:10:45,630 +حاكينا لسه عشان نجيب التيار فنجيب التيار بسوء 3.93 + +135 +00:10:45,630 --> 00:10:48,970 +امبير عشان نجيب فرق الجهود بنقول فرق الجهود بسوء + +136 +00:10:48,970 --> 00:10:51,850 +ابسل ناقص IR و برضه هذه الشغلات اللى اتعلم فيها + +137 +00:10:51,850 --> 00:10:54,970 +بوست كيرتشوف تصير شغلة معروفة و بدناش نحفظ هذه + +138 +00:10:54,970 --> 00:11:00,310 +القوانين كلها اطلاقا مش سبطار قدامفهذه الـ 12 ناقص + +139 +00:11:00,310 --> 00:11:05,850 +الرقم هذه فتظهر على 11.8 volt فرق بسيط جدا لأن ال + +140 +00:11:05,850 --> 00:11:09,610 +internal resistance أصلا صغيرة خالص 0.05 وبالتالي + +141 +00:11:09,610 --> 00:11:13,030 +مافيش فرق ما بين فرق الجهد والإنف إلا 0.2 volt + +142 +00:11:13,800 --> 00:11:17,980 +بالنسبة للpower شباب ال power اللى راح على ال + +143 +00:11:17,980 --> 00:11:23,200 +capital R 46.3 واط و ال power اللى راح على ال + +144 +00:11:23,200 --> 00:11:28,100 +small r 0.7721 طبعا واحد بيقولك هذه power يعني + +145 +00:11:28,100 --> 00:11:32,100 +طاقة من وين اجت احنا عارفين ان الطاقة محفوظة من + +146 +00:11:32,100 --> 00:11:36,820 +وين اجت هذه ال power من البطاريةبالتالي المفروض لو + +147 +00:11:36,820 --> 00:11:40,480 +اجمحهم هو نفس ال power تبع البطارية، لو جبت ال + +148 +00:11:40,480 --> 00:11:45,460 +power تبع البطارية عبارة عن I في V لجهته 47.1 اجمح + +149 +00:11:45,460 --> 00:11:50,410 +هدول هما نفسهم هدول، وهذه الشغل الطبيعيةانه + +150 +00:11:50,410 --> 00:11:53,890 +بيبسلون بيسوي بي كابتن ار زي بي صميل ار علشان هيك + +151 +00:11:53,890 --> 00:11:55,690 +شباب مرة واحدة اما يكون في عندنا ال generator اللي + +152 +00:11:55,690 --> 00:12:00,190 +في الدار نفترض بيشغل على تلاتة كيلو لو احنا حاطينا + +153 +00:12:00,190 --> 00:12:03,250 +اجهزة خمسة كيلو مستحيلش يشتغلوا لأن منهم بيجيبوا + +154 +00:12:03,250 --> 00:12:06,570 +طاقة في النهاية طاقة بتديك طاقة هذا ال generator + +155 +00:12:06,570 --> 00:12:10,670 +ال maximum اللي بيقدر يعطيه نفترض تلاتة كيلو واط + +156 +00:12:10,670 --> 00:12:13,930 +اكتر من تلاتة كيلو واط مقدرش يشغل لأن انا باخد + +157 +00:12:13,930 --> 00:12:18,180 +طاقة من مصدر طاقة خلصالطاقة بقى مش هشتغل وبالتالي + +158 +00:12:18,180 --> 00:12:21,360 +بناء على ذلك طبعا احنا عندنا generator وكأنه هنا + +159 +00:12:21,360 --> 00:12:29,470 +بطارية تمام يعني ال shutter اللي وراهاالعنوان + +160 +00:12:29,470 --> 00:12:33,210 +الأصلي اللي بنبدأ فيه هو resistors in series and + +161 +00:12:33,210 --> 00:12:37,010 +in parallel كيف بده اوصل المقاومات زي ما وصلت + +162 +00:12:37,010 --> 00:12:40,890 +المكثفات على التوالي والتوازي برضه المقاومات تتوصل + +163 +00:12:40,890 --> 00:12:44,570 +على التوالي والتوازي طبعا احنا حكينا في المكثفات + +164 +00:12:44,570 --> 00:12:48,990 +شباب ان عشان اتنين capacitors تتوصلوا على التوالي + +165 +00:12:48,990 --> 00:12:53,960 +بتكون Q equivalent بتسوي Q واحد بتسوي Q اتنيننفس + +166 +00:12:53,960 --> 00:12:58,740 +المادة بيتغيرش، بس الـQ هناك صارت متحركة، إذا + +167 +00:12:58,740 --> 00:13:05,320 +استجلت بإيش؟بالتيار فمبدأ التوالي اللى كان في + +168 +00:13:05,320 --> 00:13:08,720 +الcapacitors هو نفسه مبدأ التوالي فى ال resistance + +169 +00:13:08,720 --> 00:13:12,980 +بس مجرد شحنات متحركة استبدلناها بتيارات بيكون + +170 +00:13:12,980 --> 00:13:16,680 +التيارات نفسها هناك استخدمنا يا شباب القانون + +171 +00:13:16,680 --> 00:13:22,340 +التالى V بتساوي Q على C هنا هنستخدم القانون V + +172 +00:13:22,340 --> 00:13:31,160 +بتساوي I فى R هجد V V Q Iطلع هنا CR واحدة في ال + +173 +00:13:31,160 --> 00:13:34,980 +bus واحدة في المقام بالتالي بيصير في عندي انعكاس + +174 +00:13:34,980 --> 00:13:40,080 +في القوانين لكن مش انعكاس في المبدأ يعني فرق الجهز + +175 +00:13:40,080 --> 00:13:43,560 +إذا .. إذا تساوى بقول في التصال توازي إذا تساوت + +176 +00:13:43,560 --> 00:13:46,540 +الشحنات أو تساوت الطيارات بقول في التصال توالي إذا + +177 +00:13:46,540 --> 00:13:50,800 +مافيش إشي اتغير نبدأ بال series شباب in series + +178 +00:13:50,800 --> 00:13:54,240 +حاجة عندي مقاومتين وصلناهم على التوالي هذه + +179 +00:13:54,240 --> 00:13:58,440 +المفهومين ومعروفين جدا طبعا لو جيتها طلعت أناهذه + +180 +00:13:58,440 --> 00:14:02,040 +لو مصرتين جانب بعض وحطناهم وقلنا اللي مية تفوت + +181 +00:14:02,040 --> 00:14:04,440 +المية الفايتة في اللي بقولها هي نفس الفايتة في + +182 +00:14:04,440 --> 00:14:08,460 +التانية لأنه جانب بعض ملزجين بعض تلزيق وهي المية + +183 +00:14:08,460 --> 00:14:13,620 +كلية نفس القضية فبالتالي هنا نفس الطيار هذا الطيار + +184 +00:14:13,620 --> 00:14:16,820 +هو نفسه اللي بيلوح على R1 هو نفسه اللي بيلوح على + +185 +00:14:16,820 --> 00:14:24,060 +R2 فبقول I equivalent equal I1 equal I2إذن it is + +186 +00:14:24,060 --> 00:14:28,060 +clear that the total current capital I is the same + +187 +00:14:28,060 --> 00:14:32,400 +as that flows through R1 and R2 that is I + +188 +00:14:32,400 --> 00:14:37,740 +equivalent equal I1 and equal I2 طيب هل فرق الجوج + +189 +00:14:37,740 --> 00:14:41,410 +بين هنا و هنا هو نفس فرق الجوج اللي هنا؟لأ طبعا + +190 +00:14:41,410 --> 00:14:45,430 +بين a و b اكم جهاز في مقاومتين فبقدر اقول ان فرق + +191 +00:14:45,430 --> 00:14:48,230 +جهد بين a و b هو فرق جهد اليهان زي اليهان ولا لأ + +192 +00:14:48,230 --> 00:14:52,230 +اذا معناته v equivalent تسوى v1 plus v2 since the + +193 +00:14:52,230 --> 00:14:54,650 +potential difference between a and b equals the + +194 +00:14:54,650 --> 00:14:58,790 +sum of the potential drop across each resistor we + +195 +00:14:58,790 --> 00:15:02,790 +have v equivalent equals v1 plus v2 طبعا انا اعرف + +196 +00:15:02,790 --> 00:15:06,220 +هي القانون تبعيV equivalent بيسوي I equivalent في + +197 +00:15:06,220 --> 00:15:11,480 +R equivalent V1 بيسوي I1 في R1 V2 equal I2 في R2 + +198 +00:15:11,480 --> 00:15:16,880 +أمله تمام هدى في هدى R في خطأ مطبع هنا بس ماقدرش + +199 +00:15:16,880 --> 00:15:23,650 +أعدله عشان ال equations مختلفة تمامالان المعادلة + +200 +00:15:23,650 --> 00:15:27,530 +هذه ايش بتحكي انه هادى او هادى و هادى بروحه فتطلع + +201 +00:15:27,530 --> 00:15:30,450 +عندى القانون اللى احنا عارفينه انه R equivalent + +202 +00:15:30,450 --> 00:15:38,650 +equal R1 plus R2 R1 plus R2 تمام البراريل البراريل + +203 +00:15:38,650 --> 00:15:43,960 +يشوف كيف يتوصلوا على التوازنهي مقامتين متواصلين + +204 +00:15:43,960 --> 00:15:47,920 +على التوازي وليه دي نتطلع يا شباب احنا حكينا عشان + +205 +00:15:47,920 --> 00:15:50,800 +ان مكثفين على التوازي بده يروح من ال plate ل plate + +206 +00:15:50,800 --> 00:15:53,400 +اذا روحت من ال plate ل plate بدون ماعمل لا ع مقام + +207 +00:15:53,400 --> 00:15:56,740 +ولا ع بطارية ولا علاجة مكثف بيكون له نفس القضية + +208 +00:15:56,740 --> 00:16:00,300 +هنا نفس العملية بدي ل plate ل plate طرف لطرف هيت + +209 +00:16:00,300 --> 00:16:05,480 +انا عندي هي الطرف وهي الطرف بقدر امشي منها لها من + +210 +00:16:05,480 --> 00:16:12,320 +واحد لاتنين ومن تلاتة لاربعة بدون ما ..أبور لعب + +211 +00:16:12,320 --> 00:16:15,420 +قامة و لعب مكثف و لعب بطارية اه من واحد لاتنين سلك + +212 +00:16:15,420 --> 00:16:19,380 +لموصلهم و تلاتة و أربع سلك لموصلهم اذا بقول الجهد + +213 +00:16:19,380 --> 00:16:24,240 +V1 بيساوي جهد V2 و بيساوي جهد AB اذا هذا هو شرط + +214 +00:16:24,240 --> 00:16:28,600 +التوازي ان V equivalent between A and B equal V1 + +215 +00:16:28,600 --> 00:16:34,620 +across R1 and V2 across R2 هذا هو شرط التوازي + +216 +00:16:34,620 --> 00:16:40,850 +متحقق بهذه الرسمةبالنسبة للطيارات I equivalent + +217 +00:16:40,850 --> 00:16:45,910 +split into I1 and I2 بتتوزع، طبعا بتتوزع مش بضرورة + +218 +00:16:45,910 --> 00:16:48,530 +أي واحد يتسوي على أي اتنين شباب، إذا .. وقتيش + +219 +00:16:48,530 --> 00:16:51,750 +بتكون أي واحد بتسوي على أي اتنين، إذا أرواحك بتسوي + +220 +00:16:51,750 --> 00:16:55,740 +على اتنينتمام، إذا الـpotential drop across R1 and + +221 +00:16:55,740 --> 00:16:58,860 +R2 are equal and must equal to the potential + +222 +00:16:58,860 --> 00:17:01,660 +difference or the potential drop across any + +223 +00:17:01,660 --> 00:17:05,200 +equivalent resistor connected between A and B، + +224 +00:17:05,200 --> 00:17:09,640 +that is V equivalent equal V1 or equal V2. بالنسبة + +225 +00:17:09,640 --> 00:17:12,400 +للتيار، it is clear that the total current splits + +226 +00:17:12,400 --> 00:17:15,880 +into two currents such that I equivalent equal I1 + +227 +00:17:15,880 --> 00:17:21,330 +plus I2. نرجع لهذا القانونI بتسوي V على R إذا ما I + +228 +00:17:21,330 --> 00:17:23,670 +equivalent بتسوي V equivalent على R equivalent و + +229 +00:17:23,670 --> 00:17:29,410 +I1 equal V1 على R1 و I2 equal V2 over R2 هذه + +230 +00:17:29,410 --> 00:17:32,770 +المعادلة المعادلة بتقول ال bus كله بضيح وبالتالي + +231 +00:17:32,770 --> 00:17:36,170 +بصي لعندي المعادلة تباعت التوازي في لاي مشكلة + +232 +00:17:36,170 --> 00:17:43,770 +مافيش اي حاجة جديدة بالنسبة للتوالي والتوازي خلينا + +233 +00:17:43,770 --> 00:17:47,270 +نحل هالمثال بقول في عندك هالرسمة المتكونة من four + +234 +00:17:47,270 --> 00:17:51,880 +resistanceلدينا أربع مقاومات مع القيم المظهرة في + +235 +00:17:51,880 --> 00:17:58,600 +الفيجارة ونحتاج أن نجد الـ R مميز بين A وC ماهي + +236 +00:17:58,600 --> 00:18:06,640 +المقاومة المميزة بين مقاومة A وC الـR مميز وماذا + +237 +00:18:06,640 --> 00:18:10,320 +يعني ماهي الحركة في كل مقاومة إذا كانت الفرصة + +238 +00:18:10,320 --> 00:18:15,210 +الممكنةof 42 volts is maintained between A and C + +239 +00:18:15,210 --> 00:18:20,010 +إذا كان فرق الجهد بين A وC 42 volts لم يجد طيار في + +240 +00:18:20,010 --> 00:18:23,390 +كل مقاومة زي ما حللنا مثلا مرات هذه كانت شحنات و + +241 +00:18:23,390 --> 00:18:30,410 +نرجع رجوع تنة الان كيف هدول متواصلين هدول توازي + +242 +00:18:30,410 --> 00:18:34,330 +التوازي + +243 +00:18:34,330 --> 00:18:43,490 +معروفة معاشي و هدول ناهيطيب هدول كيف صاروا؟ طوال + +244 +00:18:43,490 --> 00:18:48,390 +كده جيش؟ 14 اذا أنا من دون محله اي حاجة اعرصنا + +245 +00:18:48,390 --> 00:18:54,490 +بطلع كل المطلوب مني طيب الانش بيقول ليه هدول نخطين + +246 +00:18:54,490 --> 00:18:59,390 +شباب A و C كده فرق جهد بينهم؟ عشان اعطاني فرق + +247 +00:18:59,390 --> 00:19:04,970 +الجهد الكل اذا انا ببدأ من هنا كده طيار هن؟ 42.44 + +248 +00:19:04,970 --> 00:19:08,990 +ثلاثة اذا انا هاجي ال 42 فورت نقطة يعنى اذا كده + +249 +00:19:08,990 --> 00:19:14,520 +طيارتلاتة انبهار طيب كيف بدى ارجع الجهود بقول هذا + +250 +00:19:14,520 --> 00:19:19,140 +كيف بتواصلين و نفس التواري شرطه اذا هذه كده + +251 +00:19:19,140 --> 00:19:24,260 +اشتيارها وهذه اذا هذه تلاتة هذه تلاتة تانية طيب + +252 +00:19:24,260 --> 00:19:29,790 +هيكي الموزيينتوازي اذا هذه تلاتة و هذه تلاتة اذا + +253 +00:19:29,790 --> 00:19:34,350 +هذه تلاتة و هذه تلاتة تفضلوا كيف جيه؟ توازي .. + +254 +00:19:34,350 --> 00:19:38,290 +التوازي عشان رايحة ليش شرطه؟ مسوات ايش؟ طب جيه + +255 +00:19:38,290 --> 00:19:42,890 +الفولت؟ تقدر تجيب الجهد ليها؟ أكتر فولت؟ دي + +256 +00:19:42,890 --> 00:19:47,310 +بالثورة او الفورة؟ ستة فولت صحيح او لا؟ اذا جدش + +257 +00:19:47,310 --> 00:19:52,010 +هذه جهدها؟ و هذي؟ و فانجليش طلع رأيها دي؟ و هذي؟ + +258 +00:19:53,180 --> 00:19:57,740 +Haggregation يجب أحو؟ تلاتة فبتكون العملية سهلة + +259 +00:19:57,740 --> 00:20:01,060 +بدون أي إشكال وهاي الصور بدون محيل أي حاجة وإذا + +260 +00:20:01,060 --> 00:20:04,180 +الإجابات صحيحة ببطلعش لع قوانين ولا إيش عملته ولا + +261 +00:20:04,180 --> 00:20:07,580 +سويته بس إذا إجابة خاطرة بدي أدور على قوانين عساس + +262 +00:20:07,580 --> 00:20:14,520 +أنه لو خطأ حسابي مايكنش فيه تركيز لأن خطأ الحساب + +263 +00:20:14,520 --> 00:20:16,540 +اللي أنا مابركزش عليه كتير + +264 +00:20:37,110 --> 00:20:41,790 +من a ل c من b هدفنا توازن + +265 +00:20:46,230 --> 00:20:50,790 +لأ التوالي؟ ليش؟ انت ماشوف تيار هنا يعمل splitting + +266 +00:20:50,790 --> 00:20:55,870 +هنا و هنا؟ اذا مش توالي؟ حتى لو على نفس الخاطة، + +267 +00:20:55,870 --> 00:21:02,990 +هجيتها؟ + +268 +00:21:02,990 --> 00:21:07,710 +ارواح وردتني التوالي؟ لأ، هي على نفس الخاطة، اذا + +269 +00:21:07,710 --> 00:21:10,390 +انا كيف بدي احكم عليهم توالي و توالي؟ عصي على + +270 +00:21:10,390 --> 00:21:13,950 +الرسمة؟ بيجيب بقالي ولا فوق بقى؟ لأ، يعني خليني + +271 +00:21:13,950 --> 00:21:14,610 +أقولك التالي + +272 +00:21:23,530 --> 00:21:28,630 +هيبقوا معاك؟ كيف هتقول؟ هعرفوا بعض؟ صار توازي؟ لأ، + +273 +00:21:28,630 --> 00:21:33,290 +توازي أيضا مش الرسم اللي بتخلينا نقول توازي و + +274 +00:21:33,290 --> 00:21:37,010 +توازي قالنا شرط التوازي تساوي التيارات و شرط + +275 +00:21:37,010 --> 00:21:41,830 +التوازي تساوي الجهود إذا التيارة توزع، هل هذا يعني + +276 +00:21:41,830 --> 00:21:46,800 +أنه توازي؟لأ، إذا توزع التيار شباب من جول مش + +277 +00:21:46,800 --> 00:21:51,040 +توالي، لكن مش بالضرورة توازي، يعني القضية مش أبيض + +278 +00:21:51,040 --> 00:21:54,400 +أو أسود، إذا مش أبيض معناته أسود، لأ، فيه له و + +279 +00:21:54,400 --> 00:21:59,020 +أبيض و هو أسود، فيه رمادي، تمام؟ هنا، هجد فيه أي + +280 +00:21:59,020 --> 00:22:03,020 +واحد بيقدر يقولي اي كنتين من هدول من تصفير توالي + +281 +00:22:03,020 --> 00:22:07,560 +أو توازي؟هذه الوصفة مافيش فيها لا تواري ولا توازي + +282 +00:22:07,560 --> 00:22:12,280 +هذه أخدتش عن خاصة أنا أخدتكم الأرقام بقول هذه و + +283 +00:22:12,280 --> 00:22:15,640 +هذه مش توازي لإن هنا في مقاومة ماقدرش أصل من هال + +284 +00:22:15,640 --> 00:22:20,120 +لهال دون المرور بالمقاومة و نفسي عن أيه هدول هدول + +285 +00:22:20,120 --> 00:22:24,140 +التفاقنة مش تواري ولا هدول تواري لهدول مش توازي + +286 +00:22:24,140 --> 00:22:26,400 +لإن هما فيه أعدو بينهم بالتالي مافيش عندي انا لا + +287 +00:22:26,400 --> 00:22:29,400 +تواري ولا توازي طبعا هذه لو انها القانون خرب شكل + +288 +00:22:29,400 --> 00:22:33,330 +بدي أحلها بحلها عن طريق قانون ketchupقوانين كيرشوف + +289 +00:22:33,330 --> 00:22:36,790 +بتحلها طبعا في سؤال في الكتاب حاطط أرقام مختلفة + +290 +00:22:36,790 --> 00:22:40,970 +حاطط هنا 3 او هنا 4 وشغلها زي ايه ويقولك حلها طبعا + +291 +00:22:40,970 --> 00:22:46,010 +هذه بتتنحل فيها سبع معادلات في سبع مجاهيات بتنحل + +292 +00:22:46,010 --> 00:22:53,110 +كمان؟ كيرشوف أما هذه السؤال حاجة خاصة جهر خلينا + +293 +00:22:53,110 --> 00:22:56,290 +واحدة واحدة نفترض أنا في عند شباب جاي طيار من هناك + +294 +00:22:57,670 --> 00:23:01,710 +بدي يصير عليه splitting ولا لا؟ حلو، بدي توزح، بدي + +295 +00:23:01,710 --> 00:23:06,470 +يروح جزء هنا و جزء هنا، مين ياخد أكبر؟ جبار، لأنه + +296 +00:23:06,470 --> 00:23:09,590 +هادي واحد و هادي واحد، إذا هادي عالق، خلاص، جال + +297 +00:23:09,590 --> 00:23:13,030 +حلو، نقطة هادي عبارة عن I بتساوي، خلّيني أقول + +298 +00:23:13,030 --> 00:23:17,730 +تمانية أمبير، إذا هنا كده الصراط، وهنا؟ طيب، يلا + +299 +00:23:17,730 --> 00:23:22,730 +نشوف فرق الجهد بين A وC كده، 4 في 1، 4 volt ولا + +300 +00:23:22,730 --> 00:23:30,980 +لا؟ هادي 4 volt، فبهاديطب هذه 4 volt مش هي VC + +301 +00:23:30,980 --> 00:23:41,660 +نفترض او VA نقص VC بيسوي 4 volt طيب و VA نقص VD + +302 +00:23:41,660 --> 00:23:47,820 +برضه تنتين بيسوي 4 volt طبعا طبعا بقدر اقول ان هذه + +303 +00:23:47,820 --> 00:23:56,680 +ما حد بتروح اذا VC بيسوي VDطيب؟ طيب من هنا بقدر + +304 +00:23:56,680 --> 00:24:06,540 +اقول ان VD-VC سوى 0 ايش معناته انه مزال هنا فرق + +305 +00:24:06,540 --> 00:24:10,920 +جوجل Zero و فرق الجوجل بيسوي I في ال R و ال R هي + +306 +00:24:10,920 --> 00:24:16,940 +موجودة خمسة اذا مش هو 0 R اذا هنا بيمرج تيارت هنا + +307 +00:24:16,940 --> 00:24:20,180 +بيمرج تيارت طيب ايش معناته اتنين اللي هم نفس + +308 +00:24:20,180 --> 00:24:23,360 +الجوجل بقول هدوة كانوا مصطلين بسلك يعني جيبت سلك + +309 +00:24:23,360 --> 00:24:23,780 +زي هيك + +310 +00:24:27,130 --> 00:24:31,330 +أفرض معايا نفس العملية لما حط السلك هنا بضمن ان Vc + +311 +00:24:31,330 --> 00:24:35,150 +بسوء Vd وهذه زي و كأنها سلكي فبين الصرف هذى؟ بيقول + +312 +00:24:35,150 --> 00:24:38,670 +هذى و لا كأنها موجودة و لا كأنها موجودة ده بيجي + +313 +00:24:38,670 --> 00:24:42,030 +الطياب بفوت هنا ولا بفوت هنا؟ بفوت هنا بفوتش هنا + +314 +00:24:42,030 --> 00:24:45,480 +بقى مرة و كأن هذى بتعفن مانا عايز وجودههذه حالة + +315 +00:24:45,480 --> 00:24:48,960 +خاصة ليش لو هذه واحد و هذه واحد لو هذه .. مش واحد + +316 +00:24:48,960 --> 00:24:51,680 +.. هذه خمسة و هذه ثلاثة .. هذي الكلام كله مصيرش + +317 +00:24:51,680 --> 00:24:55,860 +مصير انه الـ5 في فاقة جاية هنا مابتبه مرة في طيار + +318 +00:24:55,860 --> 00:24:59,840 +فاهمين؟ اذا الشغل حالة خاصة ماهيتش إليها قاعدة + +319 +00:24:59,840 --> 00:25:04,380 +إطلاقا تمام فإيش بيقولي؟ بيقول because of the + +320 +00:25:04,380 --> 00:25:09,360 +symmetry اذا شباب because of the symmetry عشان فيه + +321 +00:25:09,360 --> 00:25:13,710 +symmetry دائما بيكون فيه symmetry؟ لازي سؤال + +322 +00:25:13,710 --> 00:25:16,750 +امتحان لما كان فيه عنده يبتكوم ربا دويرة و بقتل + +323 +00:25:16,750 --> 00:25:21,130 +فيه symmetry .. خلاص .. مش بيعني المثال فيه + +324 +00:25:21,130 --> 00:25:23,450 +symmetry بيبقى نفسي من ال symmetry .. لأ مافيه + +325 +00:25:23,450 --> 00:25:25,530 +symmetry .. اشتغلت في دي ثورة .. هو كان يلغي + +326 +00:25:25,530 --> 00:25:28,630 +مراقبة .. هو كان اشتغل تقريش .. بجيب كده .. فجيب + +327 +00:25:28,630 --> 00:25:32,810 +السيني و الصابير .. بتقريش بده جيه ..تمام؟ هاي + +328 +00:25:32,810 --> 00:25:36,150 +المشكلة بتفسيرها في المثال تمام؟ because of the + +329 +00:25:36,150 --> 00:25:38,570 +symmetry in the circuit هدى بيختارها و بيحطوها + +330 +00:25:38,570 --> 00:25:41,210 +التلاتة هل هى اللى بيعمله اللى هدى بيعمله فى اي + +331 +00:25:41,210 --> 00:25:44,090 +سؤال؟ لأ إذا هدى حالة خاصة because of the symmetry + +332 +00:25:44,090 --> 00:25:46,150 +in the circuit وين ال symmetry؟ بيقولوا واحد و + +333 +00:25:46,150 --> 00:25:49,750 +واحد واحد و واحد if they عندى symmetry the current + +334 +00:25:49,750 --> 00:25:54,650 +in the branches A and C and E and D must be equal + +335 +00:25:54,650 --> 00:25:58,170 +من هنا بدأت إن التجارة اللى هى مازى بيساوي التجارة + +336 +00:25:58,170 --> 00:26:01,900 +اللى هاعشان تساوية واحدة و اتنتين and hence the + +337 +00:26:01,900 --> 00:26:06,020 +point C and D have the same potential اللي طبعا و + +338 +00:26:06,020 --> 00:26:08,920 +انا و اياكم جبتوا VCD بالساوية سخيرة that if the + +339 +00:26:08,920 --> 00:26:11,980 +circuit can be reduced as in the figure بدي أحط + +340 +00:26:11,980 --> 00:26:18,220 +سليكي الآن جاني هيك بالسيرك هذا RT شوف CD ايش طبعا + +341 +00:26:18,220 --> 00:26:23,000 +اللي ساويت فيهه لذكتهم بعضC وD لذقته مضبعة، جيبت + +342 +00:26:23,000 --> 00:26:26,880 +سلك و لذقته، و هذيك طلقت فوق ملاي دي عوان، عفنة، + +343 +00:26:26,880 --> 00:26:31,220 +بتعفن، بساط، ولا إلها أهمية، يعني هذي، هذي، + +344 +00:26:31,220 --> 00:26:34,760 +شايفين؟ فاحة، هذي خمسة ولا عشر ولا تمانية ولا + +345 +00:26:34,760 --> 00:26:38,720 +تلاتة، بتفرق؟ ما هي مش مامور فيها تيارهجي في هذه + +346 +00:26:38,720 --> 00:26:43,300 +الدائرة صارت العملية سهلة بيقولي هادي و هادي هادي + +347 +00:26:43,300 --> 00:26:47,020 +ماريث بدون ما يقولوا على حاجة وهنا اصلا يا مارين + +348 +00:26:47,020 --> 00:26:51,860 +ان هدو كيف صاروا؟ توازي و هدو كيف صاروا؟ توازي اذا + +349 +00:26:51,860 --> 00:26:57,600 +الحال الخاص خلت في توازي توازي بالتوافر اللي صار + +350 +00:26:57,600 --> 00:27:04,060 +ان هدو بررين و هدو بررين و البررين نص و لا هك صار + +351 +00:27:04,060 --> 00:27:10,630 +تمام نص نصجيرد واحد تمام كمان مرة هذا مثال هذا + +352 +00:27:10,630 --> 00:27:14,170 +خاصة تعتمد على الأرقام الموجودة إذا اختلفت الأرقام + +353 +00:27:14,170 --> 00:27:18,770 +في هذا الحال بالضبط صحيح بمشي + +354 +00:27:18,770 --> 00:27:23,690 +هيك تمام و بكمل من هنا على طول بمشي هيك بتجمع + +355 +00:27:23,690 --> 00:27:27,630 +بعدين بتجمع و بعدين بتجمع تمام يعني هو بيجي بنجسم + +356 +00:27:27,630 --> 00:27:31,110 +هنا بتجمع و بعدين بتجمع هنا بعدين بتجمع و هناك + +357 +00:27:31,110 --> 00:27:35,910 +بيمرش أي سيارة في المقاومة تمام + +358 +00:27:39,320 --> 00:27:42,360 +كمان مثال آخر على هذا الموضوع + +359 +00:27:49,140 --> 00:27:51,760 +بيقول لي three resistors are connected in parallel + +360 +00:27:51,760 --> 00:27:54,600 +as shown a potential difference of 18 volt is + +361 +00:27:54,600 --> 00:27:59,140 +applied across points A and B بيقول لي هذا سؤال + +362 +00:27:59,140 --> 00:28:02,920 +برضه أمثلة جايبها مع الأسف سهلة .. سهلة كتير في + +363 +00:28:02,920 --> 00:28:06,080 +أحد الأسئلة بدي أحاول أحله من أسئلة اللي شوية + +364 +00:28:06,080 --> 00:28:10,320 +بتغلب هذه .. كيف بتوصيها دو الشباب؟ هدول متواصلة + +365 +00:28:10,320 --> 00:28:13,420 +على التوازي و إيش بده؟ بيقول لي find the current + +366 +00:28:13,420 --> 00:28:17,000 +in each resistor برضه هذا السؤال مالوش معنى لأنه + +367 +00:28:17,000 --> 00:28:18,700 +جديش الفرق الجهد على التلاتة Ohm + +368 +00:28:28,660 --> 00:28:32,360 +أي واحد بيساوي تمنتاش ع تلاتة أي اتنين بيساوي + +369 +00:28:32,360 --> 00:28:36,440 +تمنتاش ع ستة و أي تلاتة بيساوي تمنتاش ع تسعة اذا + +370 +00:28:36,440 --> 00:28:39,220 +هذه عملية سهلة كثير بعدين بيقول calculate the + +371 +00:28:39,220 --> 00:28:42,180 +power delivered to each resistors and the total + +372 +00:28:42,180 --> 00:28:46,690 +power delivered to the combinationبتمع في النهاية + +373 +00:28:46,690 --> 00:28:50,430 +since the resistors are connected in parallel the + +374 +00:28:50,430 --> 00:28:53,150 +potential difference across each one is the same + +375 +00:28:53,150 --> 00:28:57,650 +and equal to 18 volt وبالتالي I1 وI2 وI3 بقدر + +376 +00:28:57,650 --> 00:29:03,410 +أجيبها بالنسبة شباب للpower برضه بسهولة بقول P1 + +377 +00:29:03,410 --> 00:29:12,090 +equal I1 square في R1 طلع 108 wattP2 54W أو P3 36W + +378 +00:29:12,090 --> 00:29:19,250 +لو جيبت P equivalent هلاجيها 198W اجمعهم كلهم هما + +379 +00:29:19,250 --> 00:29:30,330 +نفسهم ال 100 او 98 او 90W الموضوع اللي بقت كده هو + +380 +00:29:30,330 --> 00:29:36,520 +Kirchhoff's rule وانا هكيرشوفزهول شويةأه و اللي + +381 +00:29:36,520 --> 00:29:42,760 +بطلوا اللي جابله الشبطر خلاص تمام ال quiz بس في ال + +382 +00:29:42,760 --> 00:29:47,360 +informative force يعني التوازي بيجي على ال quiz + +383 +00:29:47,360 --> 00:29:51,260 +اللي جيت تمام يعني بس ال informative force بروح ل + +384 +00:29:51,260 --> 00:29:55,920 +quiz الشبطر اللي جابله تمام بس أول الشبطر مع + +385 +00:29:55,920 --> 00:29:59,920 +الشبطر أخر أه بالظبط بدي أحل سؤال جابه اللي ماخش + +386 +00:29:59,920 --> 00:30:02,160 +على cash of role تكمل هذه المحاضرة مرة جديدة + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..8d42e9d6746c64d513f8d5c61aad464b315cb794 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk_raw.srt @@ -0,0 +1,1544 @@ +1 +00:00:00,000 --> 00:00:02,680 +موسيقى + +2 +00:00:10,490 --> 00:00:14,390 +بسم الله الرحمن الرحيم هنبدأ اليوم بال chapter + +3 +00:00:14,390 --> 00:00:21,110 +السادس تحت عنوان direct current circuits يمكن + +4 +00:00:21,110 --> 00:00:26,770 +الموضوع الأول بدينا فيه المحاضرة الماضية وهو تحت + +5 +00:00:26,770 --> 00:00:31,330 +عنوان electromotive force أو القوة الدافعة + +6 +00:00:31,330 --> 00:00:34,570 +الكهربائية حكينا انه لما يكون في عندي انادية + +7 +00:00:34,570 --> 00:00:40,490 +كهربائية متكونة من بطارية و load resistorهيمر + +8 +00:00:40,490 --> 00:00:44,570 +التيار الكهربائي from the higher potential to the + +9 +00:00:44,570 --> 00:00:49,470 +lower potential as shown in the figure الان + +10 +00:00:49,470 --> 00:00:56,210 +الشحنات بتتحرك from P to A through capital R due + +11 +00:00:56,210 --> 00:01:03,150 +to the attraction and repulsive force between the + +12 +00:01:03,150 --> 00:01:06,230 +positive terminal and the negative terminal of the + +13 +00:01:06,230 --> 00:01:10,570 +battery and the positive chargeبالتالي حركة + +14 +00:01:10,570 --> 00:01:14,970 +الشحنات من B لA بهذا الشكل هي حركة طبيعية بفعل + +15 +00:01:14,970 --> 00:01:19,490 +القوة الكارو استاتيكية المشكلة انه كيف انا بدي + +16 +00:01:19,490 --> 00:01:26,390 +حرقه الآن من A لB عشان يصل لB لابد انه يتجاوز + +17 +00:01:26,390 --> 00:01:32,740 +القطب الموجب للبطارية وهذه شحنات موجبة الاصلهو + +18 +00:01:32,740 --> 00:01:36,060 +الكعرق الستاتيكية اللى موجودة هي قوة تنافر ما بين + +19 +00:01:36,060 --> 00:01:40,040 +الشحن الموجب وقطب الموجب اذا معناته انا بدي جهاز + +20 +00:01:40,040 --> 00:01:49,820 +يعمل دفع from A to Bلذلك لتشغيل الحركة عن طريق عرض + +21 +00:01:49,820 --> 00:01:56,020 +مغلق يجب أن تشغيل الحركة من A إلى B لازم يكون هذه + +22 +00:01:56,020 --> 00:02:00,860 +الحركة هي حركة غير طبيعية هذه الحركة ضد القوة + +23 +00:02:00,860 --> 00:02:05,320 +الكهروستاتيكية قوة التنافر اللي موجودة ما بين + +24 +00:02:05,320 --> 00:02:09,720 +الشحنة الحمرة اللي بتتحرك و القطب الموجب للبطارية + +25 +00:02:09,720 --> 00:02:14,880 +زي بالظبط حكاية الميه كيف يدخل الأعلى ضد الجاذبية + +26 +00:02:14,880 --> 00:02:23,280 +الأرضيةهذا يعني أننا بحاجة لدراسة ممكنة تدفع حرارة + +27 +00:02:23,280 --> 00:02:28,600 +من أعلى حرارة إلى أعلى حرارة وبالتالي في عندنا الـ + +28 +00:02:28,600 --> 00:02:32,940 +Electromotive Force أو الـ IMF بمعنى المختصر واللي + +29 +00:02:32,940 --> 00:02:37,640 +رمزه من يوم ما طالع هيكون capital Epsilon واتفقنا + +30 +00:02:37,640 --> 00:02:42,840 +ال IMF source هم البطاريات و الجنراتورطبعا من + +31 +00:02:42,840 --> 00:02:48,180 +العصمة اللي حكيناها انه اتجاه الدفع بيكون من + +32 +00:02:48,180 --> 00:02:52,840 +الواطي للعالي وبالتالي القوة الدافعة الكهربائية + +33 +00:02:52,840 --> 00:02:56,300 +دايما بيكون متجهة من القطب السالب الى القطب المالي + +34 +00:02:56,300 --> 00:03:00,940 +موجب للبطارية therefore is always directed from + +35 +00:03:00,940 --> 00:03:04,740 +the negative terminal to the positive terminal of + +36 +00:03:04,740 --> 00:03:10,980 +the batteryتمام وهذا كله حكيناه ان هو عبارة عن ضخ + +37 +00:03:10,980 --> 00:03:15,940 +للشحنات و بالظبط زي ما الميه تضخ بواسطة مضخة او + +38 +00:03:15,940 --> 00:03:21,120 +احنا نسميها الموتور عكس الجاذبية الأرضية الان بدنا + +39 +00:03:21,120 --> 00:03:25,640 +نحكي شغلة تانية انه انا اتفقت ان هذه البطارية + +40 +00:03:25,640 --> 00:03:31,040 +بترفعلي الشحنات من الواطي للعالي طيب هذا الجلم لما + +41 +00:03:31,040 --> 00:03:37,100 +نرفعه من هالهانبيكتسب طاقة ولا بيفقد طاقة؟ بيكتسب + +42 +00:03:37,100 --> 00:03:41,660 +طاقة مازال منتقل من الواطي للعالي بيكتسب طاقة اذا + +43 +00:03:41,660 --> 00:03:46,560 +في عندي حركتين من هال لهان ثم من هال لهان هاجد + +44 +00:03:46,560 --> 00:03:50,480 +شباب هذه المقاومة و هذه المقاومة عشان التيار بيمشي + +45 +00:03:50,480 --> 00:03:52,840 +هيك و احنا عارفين التيار بيمشي من الجهد الاعلى + +46 +00:03:52,840 --> 00:03:55,420 +لجهد الاقل و هذه نفس العملية + +47 +00:03:58,360 --> 00:04:02,180 +الشحنات تنتقل من الواطي للعالي هنا ثم تنتقل من + +48 +00:04:02,180 --> 00:04:07,520 +العالي للواطي هناك فبالتالي مرة تختسب ثم تفقد طاقة + +49 +00:04:07,520 --> 00:04:12,980 +او من اخر جهود فبواي انا positive in charge moving + +50 +00:04:12,980 --> 00:04:19,490 +from A to B من هنا ل هنا بس من هنا ل هنامن هن لهن + +51 +00:04:19,490 --> 00:04:24,030 +هذه بيصير في عملية كسب للجهود للمنواطي للعالي + +52 +00:04:24,030 --> 00:04:27,770 +بيقول any positive charge moving from a to b will + +53 +00:04:27,770 --> 00:04:31,510 +gain a potential طبعا احنا بيقول طاقة او potential + +54 +00:04:31,510 --> 00:04:34,230 +واحد لان ال potential جاي من الطاقة اصلا بيجسم + +55 +00:04:34,230 --> 00:04:38,790 +عكيه بتطلع هو الجهودأبسلون كمية ايبسلون كما تتجه + +56 +00:04:38,790 --> 00:04:42,450 +من الهاتف المفقود إلى الهاتف المفقود من البطارية + +57 +00:04:42,450 --> 00:04:46,890 +طيب الان انا بدي اكمل انا و اصل النقطة بيه ايه + +58 +00:04:46,890 --> 00:04:52,430 +بيصير هتفقد جهود هتفقد جهود فديش بيسوي جهود اللي + +59 +00:04:52,430 --> 00:04:56,570 +هتفقده فديك اتفقنا انه ابسلون لكن الجهود اللي هناك + +60 +00:04:56,570 --> 00:04:59,990 +ممكن اجيبه من قانون OM شباب ان جهود بيسوي I for + +61 +00:04:59,990 --> 00:05:06,060 +small rأذن however it will lose a potential I in + +62 +00:05:06,060 --> 00:05:09,960 +small r as it passes through the internal resistor + +63 +00:05:09,960 --> 00:05:12,440 +where I is the current in the circuit + +64 +00:05:25,080 --> 00:05:28,880 +مش بيسوي هو عبارة عن فرق الجهد تبع البطارية و فرق + +65 +00:05:28,880 --> 00:05:31,840 +الجهد ما بين طرفي المقاومة الداخلية ولا لا، انا في + +66 +00:05:31,840 --> 00:05:35,980 +عندي فرقين جهد، فرق جهد هذا و فرق جهد ليها، هال من + +67 +00:05:35,980 --> 00:05:40,020 +واقعي لعالي في كسب موجب، هال من عالي لواقي في + +68 +00:05:40,020 --> 00:05:44,320 +سالب، اذا المجموع الجهد هيكون شباب بهذا الشكل + +69 +00:05:53,190 --> 00:05:59,810 +بالتالي فرق الجهد ما بين A وB هو عبارة عن Y ناقص I + +70 +00:05:59,810 --> 00:06:06,690 +في الـRتمام؟ طبعا هنا واضح شباب هذا فرق الجود بين + +71 +00:06:06,690 --> 00:06:11,250 +طرفي البطارية كلمة terminal هنا شباب ال terminal + +72 +00:06:11,250 --> 00:06:16,450 +معناته الطرف او القطب بالمعنى اخر طبعا ال terminal + +73 +00:06:16,450 --> 00:06:21,270 +معناته طرف بصورة اجمالية وحتى كلمة terminal بتعني + +74 +00:06:21,270 --> 00:06:26,210 +محطة لو انتوا مرت عليكم كلمة كلمة terminal معناته + +75 +00:06:26,210 --> 00:06:30,070 +محطة طبعا في المطارات نسموه terminals برضهالمهم + +76 +00:06:30,070 --> 00:06:34,370 +طبعا المحطات بيسموها terminals لأنه غالبا بتكون في + +77 +00:06:34,370 --> 00:06:37,190 +أطراف المدن عشان كده بقى هو في النهاية terminal + +78 +00:06:37,190 --> 00:06:42,310 +معناه أطراف وبالتالي طرفي البطارية هي كلمة + +79 +00:06:42,310 --> 00:06:46,050 +terminals فبالتالي هدول ال two terminals هم اللي + +80 +00:06:46,050 --> 00:06:49,550 +بيبينه لما أنا بدي أجيس فى فرق جود أي بطارية + +81 +00:06:49,550 --> 00:06:53,470 +بواسطة ال voltmeter أنا مافيش بوصله بوصله بالقطب + +82 +00:06:53,470 --> 00:06:57,200 +الموجة بالقطب السالب هذا فرق الجود هذا هوهل هو + +83 +00:06:57,200 --> 00:07:01,160 +إبسلون نفسها، بيقول لي مش دايما، إذا كان فيه + +84 +00:07:01,160 --> 00:07:04,480 +مقاومة داخلية، بيكون فرق الجهد بيكون أقل من + +85 +00:07:04,480 --> 00:07:08,320 +إبسلون، أقل من القوة الدافعة الكهربية، طبعا واضح + +86 +00:07:08,320 --> 00:07:13,350 +من القانون شباب إن هذه إيش وحدتهاVolt يعني مش قوة + +87 +00:07:13,350 --> 00:07:17,230 +دفعة كعربية وحدتها نيوتن لأ هدا هيك مصطلح عشان + +88 +00:07:17,230 --> 00:07:20,930 +اللي اللي مذاكرين انه في قوة دفعة انه بتدفع تعمل + +89 +00:07:20,930 --> 00:07:26,530 +pumping بالتالي V بتسوى Y نخس IR وواجتيش V بتسوى Y + +90 +00:07:26,530 --> 00:07:30,670 +من هذا القانونلما هدى تروح صح هدى بتروح في حالتين + +91 +00:07:30,670 --> 00:07:32,990 +لأ اقل اتساوي صفر لأ اقل اتساوي صفر طب اقل اتساوي + +92 +00:07:32,990 --> 00:07:37,110 +صفر مافيش عندي مصنع بيعطيني small يعني R بتساوي + +93 +00:07:37,110 --> 00:07:40,750 +zero بالتالي انا بقدر اقول ان V بتساوي Y لما هدى + +94 +00:07:40,750 --> 00:07:44,710 +اتساوي zero I طب و I وقتي مش تساوي صفر لما الدائرة + +95 +00:07:44,710 --> 00:07:48,130 +كلها مفتوحة بالتالي احنا بنقول ان Epsilon تساوي + +96 +00:07:48,130 --> 00:07:53,230 +فرق الجود من طرفين ضغطانيا في الدوائر المفتوحةمن + +97 +00:07:53,230 --> 00:07:55,830 +هذه المقارنة، من الواضح أن الـ Inf هو مقارنة + +98 +00:07:55,830 --> 00:08:01,590 +بطارية البطارية في مقارنة مفتوحة مفتوحة مفتوحة + +99 +00:08:01,590 --> 00:08:07,790 +مفتوحة مفتوحة مفتوحة مفتوحة مفتوحة مفتوحة + +100 +00:08:07,970 --> 00:08:12,610 +بتكون ال V و E بسوة بعض طبعا هذه قانون احنا غالبا + +101 +00:08:12,610 --> 00:08:16,450 +بال chapter اغلب الأسئلة هيقولك ان البطارية + +102 +00:08:16,450 --> 00:08:19,930 +مقاومتها الداخلية مهملة فغالبا المقاومات الداخلية + +103 +00:08:19,930 --> 00:08:23,210 +هتكون zero اللي هي هذه و في الآخر بالنسبالي ان + +104 +00:08:23,210 --> 00:08:27,210 +المقاومة هذه هي مقاومة بعملها زي اي معاملة هذه + +105 +00:08:27,210 --> 00:08:29,970 +بتكون رقمها صغير و هذه رقم كبير مش قضيةلكن في + +106 +00:08:29,970 --> 00:08:32,550 +النهاية دي مقاومتنا متواصلة على التوالي وبتعامل + +107 +00:08:32,550 --> 00:08:35,830 +معهم على هذه الأساس وباقتل القوانين اللي لها معنى + +108 +00:08:35,830 --> 00:08:42,250 +أننا نحفظها كقوانين عامة هي قوانين نشتغلها وبترتبط + +109 +00:08:42,250 --> 00:08:47,810 +بباقي القوانين تبعات الشبطة طبعا برضه هنا بنقدر + +110 +00:08:47,810 --> 00:08:55,230 +نقول ان VAB وVCD بيسووا بعضى ولا لأ يا شباب هل VAB + +111 +00:08:55,230 --> 00:09:03,950 +بيسووا VCD ولا لأنفسها لأن بي و دي نقطة واحدة و A + +112 +00:09:03,950 --> 00:09:09,710 +و C نقطة واحدة المصطلين بسلك تمام فهل VCD بتساوي + +113 +00:09:09,710 --> 00:09:14,870 +capital I في ال R ولا لأ؟ اذا انا هادي ممكن اسميها + +114 +00:09:14,870 --> 00:09:20,030 +بتساوي capital I في ال R تمام، اذا I ايش بتساوي؟ + +115 +00:09:20,030 --> 00:09:25,570 +لو جيت هدي هنا Y على small r زي ال capital R على + +116 +00:09:25,570 --> 00:09:29,290 +طولوهو طبعا ماهي شغلة منطقية هو كان مقاومة في + +117 +00:09:29,290 --> 00:09:32,430 +الدائرة في الآخر تنتهي كما توصلين على التوالي + +118 +00:09:32,430 --> 00:09:38,270 +وبالتالي وكان هم عارق ومجموح تمام فبقول لي at the + +119 +00:09:38,270 --> 00:09:40,390 +connecting wires have no resistance we conclude + +120 +00:09:40,390 --> 00:09:43,830 +that the voltage V must always equal the potential + +121 +00:09:43,830 --> 00:09:46,650 +across the load resistor that is V بالسوء I في + +122 +00:09:46,650 --> 00:09:49,150 +الار اللي انا حاطيته هناك ومنها + +123 +00:09:58,860 --> 00:10:03,120 +مثال بسيط على هالقضية بيقول لأ battery has an inf + +124 +00:10:03,120 --> 00:10:08,580 +of 12 volt and an internal resistance of 0.05 ohm + +125 +00:10:08,580 --> 00:10:11,560 +its terminals are connected to a load resistance + +126 +00:10:11,560 --> 00:10:14,660 +of 3 ohm طبعا واضح ان ال internal resistance دايما + +127 +00:10:14,660 --> 00:10:19,250 +بتكون صغيرة 0.05ولكن المقاومة الخارجية اللي هي + +128 +00:10:19,250 --> 00:10:23,950 +جهاز أبقى عن تلاتة ومش بده بيقول find I بده + +129 +00:10:23,950 --> 00:10:27,330 +الطيارة and the terminal voltage of the battery و + +130 +00:10:27,330 --> 00:10:30,310 +بده فرق جودة بين ثلاثية بطارية هنشوف إنه بيستويش + +131 +00:10:30,310 --> 00:10:34,350 +12 volt شباب أقل من 12 volt تمام calculate the + +132 +00:10:34,350 --> 00:10:36,790 +power delivered to capital R small r and the + +133 +00:10:36,790 --> 00:10:41,090 +batteryبدو ال power ايه احنا القانون اللى توا + +134 +00:10:41,090 --> 00:10:45,630 +حاكينا لسه عشان نجيب التيار فنجيب التيار بسوء 3.93 + +135 +00:10:45,630 --> 00:10:48,970 +امبير عشان نجيب فرق الجهود بنقول فرق الجهود بسوء + +136 +00:10:48,970 --> 00:10:51,850 +ابسل ناقص IR و برضه هذه الشغلات اللى اتعلم فيها + +137 +00:10:51,850 --> 00:10:54,970 +بوست كيرتشوف تصير شغلة معروفة و بدناش نحفظ هذه + +138 +00:10:54,970 --> 00:11:00,310 +القوانين كلها اطلاقا مش سبطار قدامفهذه الـ 12 ناقص + +139 +00:11:00,310 --> 00:11:05,850 +الرقم هذه فتظهر على 11.8 volt فرق بسيط جدا لأن ال + +140 +00:11:05,850 --> 00:11:09,610 +internal resistance أصلا صغيرة خالص 0.05 وبالتالي + +141 +00:11:09,610 --> 00:11:13,030 +مافيش فرق ما بين فرق الجهد والإنف إلا 0.2 volt + +142 +00:11:13,800 --> 00:11:17,980 +بالنسبة للpower شباب ال power اللى راح على ال + +143 +00:11:17,980 --> 00:11:23,200 +capital R 46.3 واط و ال power اللى راح على ال + +144 +00:11:23,200 --> 00:11:28,100 +small r 0.7721 طبعا واحد بيقولك هذه power يعني + +145 +00:11:28,100 --> 00:11:32,100 +طاقة من وين اجت احنا عارفين ان الطاقة محفوظة من + +146 +00:11:32,100 --> 00:11:36,820 +وين اجت هذه ال power من البطاريةبالتالي المفروض لو + +147 +00:11:36,820 --> 00:11:40,480 +اجمحهم هو نفس ال power تبع البطارية، لو جبت ال + +148 +00:11:40,480 --> 00:11:45,460 +power تبع البطارية عبارة عن I في V لجهته 47.1 اجمح + +149 +00:11:45,460 --> 00:11:50,410 +هدول هما نفسهم هدول، وهذه الشغل الطبيعيةانه + +150 +00:11:50,410 --> 00:11:53,890 +بيبسلون بيسوي بي كابتن ار زي بي صميل ار علشان هيك + +151 +00:11:53,890 --> 00:11:55,690 +شباب مرة واحدة اما يكون في عندنا ال generator اللي + +152 +00:11:55,690 --> 00:12:00,190 +في الدار نفترض بيشغل على تلاتة كيلو لو احنا حاطينا + +153 +00:12:00,190 --> 00:12:03,250 +اجهزة خمسة كيلو مستحيلش يشتغلوا لأن منهم بيجيبوا + +154 +00:12:03,250 --> 00:12:06,570 +طاقة في النهاية طاقة بتديك طاقة هذا ال generator + +155 +00:12:06,570 --> 00:12:10,670 +ال maximum اللي بيقدر يعطيه نفترض تلاتة كيلو واط + +156 +00:12:10,670 --> 00:12:13,930 +اكتر من تلاتة كيلو واط مقدرش يشغل لأن انا باخد + +157 +00:12:13,930 --> 00:12:18,180 +طاقة من مصدر طاقة خلصالطاقة بقى مش هشتغل وبالتالي + +158 +00:12:18,180 --> 00:12:21,360 +بناء على ذلك طبعا احنا عندنا generator وكأنه هنا + +159 +00:12:21,360 --> 00:12:29,470 +بطارية تمام يعني ال shutter اللي وراهاالعنوان + +160 +00:12:29,470 --> 00:12:33,210 +الأصلي اللي بنبدأ فيه هو resistors in series and + +161 +00:12:33,210 --> 00:12:37,010 +in parallel كيف بده اوصل المقاومات زي ما وصلت + +162 +00:12:37,010 --> 00:12:40,890 +المكثفات على التوالي والتوازي برضه المقاومات تتوصل + +163 +00:12:40,890 --> 00:12:44,570 +على التوالي والتوازي طبعا احنا حكينا في المكثفات + +164 +00:12:44,570 --> 00:12:48,990 +شباب ان عشان اتنين capacitors تتوصلوا على التوالي + +165 +00:12:48,990 --> 00:12:53,960 +بتكون Q equivalent بتسوي Q واحد بتسوي Q اتنيننفس + +166 +00:12:53,960 --> 00:12:58,740 +المادة بيتغيرش، بس الـQ هناك صارت متحركة، إذا + +167 +00:12:58,740 --> 00:13:05,320 +استجلت بإيش؟بالتيار فمبدأ التوالي اللى كان في + +168 +00:13:05,320 --> 00:13:08,720 +الcapacitors هو نفسه مبدأ التوالي فى ال resistance + +169 +00:13:08,720 --> 00:13:12,980 +بس مجرد شحنات متحركة استبدلناها بتيارات بيكون + +170 +00:13:12,980 --> 00:13:16,680 +التيارات نفسها هناك استخدمنا يا شباب القانون + +171 +00:13:16,680 --> 00:13:22,340 +التالى V بتساوي Q على C هنا هنستخدم القانون V + +172 +00:13:22,340 --> 00:13:31,160 +بتساوي I فى R هجد V V Q Iطلع هنا CR واحدة في ال + +173 +00:13:31,160 --> 00:13:34,980 +bus واحدة في المقام بالتالي بيصير في عندي انعكاس + +174 +00:13:34,980 --> 00:13:40,080 +في القوانين لكن مش انعكاس في المبدأ يعني فرق الجهز + +175 +00:13:40,080 --> 00:13:43,560 +إذا .. إذا تساوى بقول في التصال توازي إذا تساوت + +176 +00:13:43,560 --> 00:13:46,540 +الشحنات أو تساوت الطيارات بقول في التصال توالي إذا + +177 +00:13:46,540 --> 00:13:50,800 +مافيش إشي اتغير نبدأ بال series شباب in series + +178 +00:13:50,800 --> 00:13:54,240 +حاجة عندي مقاومتين وصلناهم على التوالي هذه + +179 +00:13:54,240 --> 00:13:58,440 +المفهومين ومعروفين جدا طبعا لو جيتها طلعت أناهذه + +180 +00:13:58,440 --> 00:14:02,040 +لو مصرتين جانب بعض وحطناهم وقلنا اللي مية تفوت + +181 +00:14:02,040 --> 00:14:04,440 +المية الفايتة في اللي بقولها هي نفس الفايتة في + +182 +00:14:04,440 --> 00:14:08,460 +التانية لأنه جانب بعض ملزجين بعض تلزيق وهي المية + +183 +00:14:08,460 --> 00:14:13,620 +كلية نفس القضية فبالتالي هنا نفس الطيار هذا الطيار + +184 +00:14:13,620 --> 00:14:16,820 +هو نفسه اللي بيلوح على R1 هو نفسه اللي بيلوح على + +185 +00:14:16,820 --> 00:14:24,060 +R2 فبقول I equivalent equal I1 equal I2إذن it is + +186 +00:14:24,060 --> 00:14:28,060 +clear that the total current capital I is the same + +187 +00:14:28,060 --> 00:14:32,400 +as that flows through R1 and R2 that is I + +188 +00:14:32,400 --> 00:14:37,740 +equivalent equal I1 and equal I2 طيب هل فرق الجوج + +189 +00:14:37,740 --> 00:14:41,410 +بين هنا و هنا هو نفس فرق الجوج اللي هنا؟لأ طبعا + +190 +00:14:41,410 --> 00:14:45,430 +بين a و b اكم جهاز في مقاومتين فبقدر اقول ان فرق + +191 +00:14:45,430 --> 00:14:48,230 +جهد بين a و b هو فرق جهد اليهان زي اليهان ولا لأ + +192 +00:14:48,230 --> 00:14:52,230 +اذا معناته v equivalent تسوى v1 plus v2 since the + +193 +00:14:52,230 --> 00:14:54,650 +potential difference between a and b equals the + +194 +00:14:54,650 --> 00:14:58,790 +sum of the potential drop across each resistor we + +195 +00:14:58,790 --> 00:15:02,790 +have v equivalent equals v1 plus v2 طبعا انا اعرف + +196 +00:15:02,790 --> 00:15:06,220 +هي القانون تبعيV equivalent بيسوي I equivalent في + +197 +00:15:06,220 --> 00:15:11,480 +R equivalent V1 بيسوي I1 في R1 V2 equal I2 في R2 + +198 +00:15:11,480 --> 00:15:16,880 +أمله تمام هدى في هدى R في خطأ مطبع هنا بس ماقدرش + +199 +00:15:16,880 --> 00:15:23,650 +أعدله عشان ال equations مختلفة تمامالان المعادلة + +200 +00:15:23,650 --> 00:15:27,530 +هذه ايش بتحكي انه هادى او هادى و هادى بروحه فتطلع + +201 +00:15:27,530 --> 00:15:30,450 +عندى القانون اللى احنا عارفينه انه R equivalent + +202 +00:15:30,450 --> 00:15:38,650 +equal R1 plus R2 R1 plus R2 تمام البراريل البراريل + +203 +00:15:38,650 --> 00:15:43,960 +يشوف كيف يتوصلوا على التوازنهي مقامتين متواصلين + +204 +00:15:43,960 --> 00:15:47,920 +على التوازي وليه دي نتطلع يا شباب احنا حكينا عشان + +205 +00:15:47,920 --> 00:15:50,800 +ان مكثفين على التوازي بده يروح من ال plate ل plate + +206 +00:15:50,800 --> 00:15:53,400 +اذا روحت من ال plate ل plate بدون ماعمل لا ع مقام + +207 +00:15:53,400 --> 00:15:56,740 +ولا ع بطارية ولا علاجة مكثف بيكون له نفس القضية + +208 +00:15:56,740 --> 00:16:00,300 +هنا نفس العملية بدي ل plate ل plate طرف لطرف هيت + +209 +00:16:00,300 --> 00:16:05,480 +انا عندي هي الطرف وهي الطرف بقدر امشي منها لها من + +210 +00:16:05,480 --> 00:16:12,320 +واحد لاتنين ومن تلاتة لاربعة بدون ما ..أبور لعب + +211 +00:16:12,320 --> 00:16:15,420 +قامة و لعب مكثف و لعب بطارية اه من واحد لاتنين سلك + +212 +00:16:15,420 --> 00:16:19,380 +لموصلهم و تلاتة و أربع سلك لموصلهم اذا بقول الجهد + +213 +00:16:19,380 --> 00:16:24,240 +V1 بيساوي جهد V2 و بيساوي جهد AB اذا هذا هو شرط + +214 +00:16:24,240 --> 00:16:28,600 +التوازي ان V equivalent between A and B equal V1 + +215 +00:16:28,600 --> 00:16:34,620 +across R1 and V2 across R2 هذا هو شرط التوازي + +216 +00:16:34,620 --> 00:16:40,850 +متحقق بهذه الرسمةبالنسبة للطيارات I equivalent + +217 +00:16:40,850 --> 00:16:45,910 +split into I1 and I2 بتتوزع، طبعا بتتوزع مش بضرورة + +218 +00:16:45,910 --> 00:16:48,530 +أي واحد يتسوي على أي اتنين شباب، إذا .. وقتيش + +219 +00:16:48,530 --> 00:16:51,750 +بتكون أي واحد بتسوي على أي اتنين، إذا أرواحك بتسوي + +220 +00:16:51,750 --> 00:16:55,740 +على اتنينتمام، إذا الـpotential drop across R1 and + +221 +00:16:55,740 --> 00:16:58,860 +R2 are equal and must equal to the potential + +222 +00:16:58,860 --> 00:17:01,660 +difference or the potential drop across any + +223 +00:17:01,660 --> 00:17:05,200 +equivalent resistor connected between A and B، + +224 +00:17:05,200 --> 00:17:09,640 +that is V equivalent equal V1 or equal V2. بالنسبة + +225 +00:17:09,640 --> 00:17:12,400 +للتيار، it is clear that the total current splits + +226 +00:17:12,400 --> 00:17:15,880 +into two currents such that I equivalent equal I1 + +227 +00:17:15,880 --> 00:17:21,330 +plus I2. نرجع لهذا القانونI بتسوي V على R إذا ما I + +228 +00:17:21,330 --> 00:17:23,670 +equivalent بتسوي V equivalent على R equivalent و + +229 +00:17:23,670 --> 00:17:29,410 +I1 equal V1 على R1 و I2 equal V2 over R2 هذه + +230 +00:17:29,410 --> 00:17:32,770 +المعادلة المعادلة بتقول ال bus كله بضيح وبالتالي + +231 +00:17:32,770 --> 00:17:36,170 +بصي لعندي المعادلة تباعت التوازي في لاي مشكلة + +232 +00:17:36,170 --> 00:17:43,770 +مافيش اي حاجة جديدة بالنسبة للتوالي والتوازي خلينا + +233 +00:17:43,770 --> 00:17:47,270 +نحل هالمثال بقول في عندك هالرسمة المتكونة من four + +234 +00:17:47,270 --> 00:17:51,880 +resistanceلدينا أربع مقاومات مع القيم المظهرة في + +235 +00:17:51,880 --> 00:17:58,600 +الفيجارة ونحتاج أن نجد الـ R مميز بين A وC ماهي + +236 +00:17:58,600 --> 00:18:06,640 +المقاومة المميزة بين مقاومة A وC الـR مميز وماذا + +237 +00:18:06,640 --> 00:18:10,320 +يعني ماهي الحركة في كل مقاومة إذا كانت الفرصة + +238 +00:18:10,320 --> 00:18:15,210 +الممكنةof 42 volts is maintained between A and C + +239 +00:18:15,210 --> 00:18:20,010 +إذا كان فرق الجهد بين A وC 42 volts لم يجد طيار في + +240 +00:18:20,010 --> 00:18:23,390 +كل مقاومة زي ما حللنا مثلا مرات هذه كانت شحنات و + +241 +00:18:23,390 --> 00:18:30,410 +نرجع رجوع تنة الان كيف هدول متواصلين هدول توازي + +242 +00:18:30,410 --> 00:18:34,330 +التوازي + +243 +00:18:34,330 --> 00:18:43,490 +معروفة معاشي و هدول ناهيطيب هدول كيف صاروا؟ طوال + +244 +00:18:43,490 --> 00:18:48,390 +كده جيش؟ 14 اذا أنا من دون محله اي حاجة اعرصنا + +245 +00:18:48,390 --> 00:18:54,490 +بطلع كل المطلوب مني طيب الانش بيقول ليه هدول نخطين + +246 +00:18:54,490 --> 00:18:59,390 +شباب A و C كده فرق جهد بينهم؟ عشان اعطاني فرق + +247 +00:18:59,390 --> 00:19:04,970 +الجهد الكل اذا انا ببدأ من هنا كده طيار هن؟ 42.44 + +248 +00:19:04,970 --> 00:19:08,990 +ثلاثة اذا انا هاجي ال 42 فورت نقطة يعنى اذا كده + +249 +00:19:08,990 --> 00:19:14,520 +طيارتلاتة انبهار طيب كيف بدى ارجع الجهود بقول هذا + +250 +00:19:14,520 --> 00:19:19,140 +كيف بتواصلين و نفس التواري شرطه اذا هذه كده + +251 +00:19:19,140 --> 00:19:24,260 +اشتيارها وهذه اذا هذه تلاتة هذه تلاتة تانية طيب + +252 +00:19:24,260 --> 00:19:29,790 +هيكي الموزيينتوازي اذا هذه تلاتة و هذه تلاتة اذا + +253 +00:19:29,790 --> 00:19:34,350 +هذه تلاتة و هذه تلاتة تفضلوا كيف جيه؟ توازي .. + +254 +00:19:34,350 --> 00:19:38,290 +التوازي عشان رايحة ليش شرطه؟ مسوات ايش؟ طب جيه + +255 +00:19:38,290 --> 00:19:42,890 +الفولت؟ تقدر تجيب الجهد ليها؟ أكتر فولت؟ دي + +256 +00:19:42,890 --> 00:19:47,310 +بالثورة او الفورة؟ ستة فولت صحيح او لا؟ اذا جدش + +257 +00:19:47,310 --> 00:19:52,010 +هذه جهدها؟ و هذي؟ و فانجليش طلع رأيها دي؟ و هذي؟ + +258 +00:19:53,180 --> 00:19:57,740 +Haggregation يجب أحو؟ تلاتة فبتكون العملية سهلة + +259 +00:19:57,740 --> 00:20:01,060 +بدون أي إشكال وهاي الصور بدون محيل أي حاجة وإذا + +260 +00:20:01,060 --> 00:20:04,180 +الإجابات صحيحة ببطلعش لع قوانين ولا إيش عملته ولا + +261 +00:20:04,180 --> 00:20:07,580 +سويته بس إذا إجابة خاطرة بدي أدور على قوانين عساس + +262 +00:20:07,580 --> 00:20:14,520 +أنه لو خطأ حسابي مايكنش فيه تركيز لأن خطأ الحساب + +263 +00:20:14,520 --> 00:20:16,540 +اللي أنا مابركزش عليه كتير + +264 +00:20:37,110 --> 00:20:41,790 +من a ل c من b هدفنا توازن + +265 +00:20:46,230 --> 00:20:50,790 +لأ التوالي؟ ليش؟ انت ماشوف تيار هنا يعمل splitting + +266 +00:20:50,790 --> 00:20:55,870 +هنا و هنا؟ اذا مش توالي؟ حتى لو على نفس الخاطة، + +267 +00:20:55,870 --> 00:21:02,990 +هجيتها؟ + +268 +00:21:02,990 --> 00:21:07,710 +ارواح وردتني التوالي؟ لأ، هي على نفس الخاطة، اذا + +269 +00:21:07,710 --> 00:21:10,390 +انا كيف بدي احكم عليهم توالي و توالي؟ عصي على + +270 +00:21:10,390 --> 00:21:13,950 +الرسمة؟ بيجيب بقالي ولا فوق بقى؟ لأ، يعني خليني + +271 +00:21:13,950 --> 00:21:14,610 +أقولك التالي + +272 +00:21:23,530 --> 00:21:28,630 +هيبقوا معاك؟ كيف هتقول؟ هعرفوا بعض؟ صار توازي؟ لأ، + +273 +00:21:28,630 --> 00:21:33,290 +توازي أيضا مش الرسم اللي بتخلينا نقول توازي و + +274 +00:21:33,290 --> 00:21:37,010 +توازي قالنا شرط التوازي تساوي التيارات و شرط + +275 +00:21:37,010 --> 00:21:41,830 +التوازي تساوي الجهود إذا التيارة توزع، هل هذا يعني + +276 +00:21:41,830 --> 00:21:46,800 +أنه توازي؟لأ، إذا توزع التيار شباب من جول مش + +277 +00:21:46,800 --> 00:21:51,040 +توالي، لكن مش بالضرورة توازي، يعني القضية مش أبيض + +278 +00:21:51,040 --> 00:21:54,400 +أو أسود، إذا مش أبيض معناته أسود، لأ، فيه له و + +279 +00:21:54,400 --> 00:21:59,020 +أبيض و هو أسود، فيه رمادي، تمام؟ هنا، هجد فيه أي + +280 +00:21:59,020 --> 00:22:03,020 +واحد بيقدر يقولي اي كنتين من هدول من تصفير توالي + +281 +00:22:03,020 --> 00:22:07,560 +أو توازي؟هذه الوصفة مافيش فيها لا تواري ولا توازي + +282 +00:22:07,560 --> 00:22:12,280 +هذه أخدتش عن خاصة أنا أخدتكم الأرقام بقول هذه و + +283 +00:22:12,280 --> 00:22:15,640 +هذه مش توازي لإن هنا في مقاومة ماقدرش أصل من هال + +284 +00:22:15,640 --> 00:22:20,120 +لهال دون المرور بالمقاومة و نفسي عن أيه هدول هدول + +285 +00:22:20,120 --> 00:22:24,140 +التفاقنة مش تواري ولا هدول تواري لهدول مش توازي + +286 +00:22:24,140 --> 00:22:26,400 +لإن هما فيه أعدو بينهم بالتالي مافيش عندي انا لا + +287 +00:22:26,400 --> 00:22:29,400 +تواري ولا توازي طبعا هذه لو انها القانون خرب شكل + +288 +00:22:29,400 --> 00:22:33,330 +بدي أحلها بحلها عن طريق قانون ketchupقوانين كيرشوف + +289 +00:22:33,330 --> 00:22:36,790 +بتحلها طبعا في سؤال في الكتاب حاطط أرقام مختلفة + +290 +00:22:36,790 --> 00:22:40,970 +حاطط هنا 3 او هنا 4 وشغلها زي ايه ويقولك حلها طبعا + +291 +00:22:40,970 --> 00:22:46,010 +هذه بتتنحل فيها سبع معادلات في سبع مجاهيات بتنحل + +292 +00:22:46,010 --> 00:22:53,110 +كمان؟ كيرشوف أما هذه السؤال حاجة خاصة جهر خلينا + +293 +00:22:53,110 --> 00:22:56,290 +واحدة واحدة نفترض أنا في عند شباب جاي طيار من هناك + +294 +00:22:57,670 --> 00:23:01,710 +بدي يصير عليه splitting ولا لا؟ حلو، بدي توزح، بدي + +295 +00:23:01,710 --> 00:23:06,470 +يروح جزء هنا و جزء هنا، مين ياخد أكبر؟ جبار، لأنه + +296 +00:23:06,470 --> 00:23:09,590 +هادي واحد و هادي واحد، إذا هادي عالق، خلاص، جال + +297 +00:23:09,590 --> 00:23:13,030 +حلو، نقطة هادي عبارة عن I بتساوي، خلّيني أقول + +298 +00:23:13,030 --> 00:23:17,730 +تمانية أمبير، إذا هنا كده الصراط، وهنا؟ طيب، يلا + +299 +00:23:17,730 --> 00:23:22,730 +نشوف فرق الجهد بين A وC كده، 4 في 1، 4 volt ولا + +300 +00:23:22,730 --> 00:23:30,980 +لا؟ هادي 4 volt، فبهاديطب هذه 4 volt مش هي VC + +301 +00:23:30,980 --> 00:23:41,660 +نفترض او VA نقص VC بيسوي 4 volt طيب و VA نقص VD + +302 +00:23:41,660 --> 00:23:47,820 +برضه تنتين بيسوي 4 volt طبعا طبعا بقدر اقول ان هذه + +303 +00:23:47,820 --> 00:23:56,680 +ما حد بتروح اذا VC بيسوي VDطيب؟ طيب من هنا بقدر + +304 +00:23:56,680 --> 00:24:06,540 +اقول ان VD-VC سوى 0 ايش معناته انه مزال هنا فرق + +305 +00:24:06,540 --> 00:24:10,920 +جوجل Zero و فرق الجوجل بيسوي I في ال R و ال R هي + +306 +00:24:10,920 --> 00:24:16,940 +موجودة خمسة اذا مش هو 0 R اذا هنا بيمرج تيارت هنا + +307 +00:24:16,940 --> 00:24:20,180 +بيمرج تيارت طيب ايش معناته اتنين اللي هم نفس + +308 +00:24:20,180 --> 00:24:23,360 +الجوجل بقول هدوة كانوا مصطلين بسلك يعني جيبت سلك + +309 +00:24:23,360 --> 00:24:23,780 +زي هيك + +310 +00:24:27,130 --> 00:24:31,330 +أفرض معايا نفس العملية لما حط السلك هنا بضمن ان Vc + +311 +00:24:31,330 --> 00:24:35,150 +بسوء Vd وهذه زي و كأنها سلكي فبين الصرف هذى؟ بيقول + +312 +00:24:35,150 --> 00:24:38,670 +هذى و لا كأنها موجودة و لا كأنها موجودة ده بيجي + +313 +00:24:38,670 --> 00:24:42,030 +الطياب بفوت هنا ولا بفوت هنا؟ بفوت هنا بفوتش هنا + +314 +00:24:42,030 --> 00:24:45,480 +بقى مرة و كأن هذى بتعفن مانا عايز وجودههذه حالة + +315 +00:24:45,480 --> 00:24:48,960 +خاصة ليش لو هذه واحد و هذه واحد لو هذه .. مش واحد + +316 +00:24:48,960 --> 00:24:51,680 +.. هذه خمسة و هذه ثلاثة .. هذي الكلام كله مصيرش + +317 +00:24:51,680 --> 00:24:55,860 +مصير انه الـ5 في فاقة جاية هنا مابتبه مرة في طيار + +318 +00:24:55,860 --> 00:24:59,840 +فاهمين؟ اذا الشغل حالة خاصة ماهيتش إليها قاعدة + +319 +00:24:59,840 --> 00:25:04,380 +إطلاقا تمام فإيش بيقولي؟ بيقول because of the + +320 +00:25:04,380 --> 00:25:09,360 +symmetry اذا شباب because of the symmetry عشان فيه + +321 +00:25:09,360 --> 00:25:13,710 +symmetry دائما بيكون فيه symmetry؟ لازي سؤال + +322 +00:25:13,710 --> 00:25:16,750 +امتحان لما كان فيه عنده يبتكوم ربا دويرة و بقتل + +323 +00:25:16,750 --> 00:25:21,130 +فيه symmetry .. خلاص .. مش بيعني المثال فيه + +324 +00:25:21,130 --> 00:25:23,450 +symmetry بيبقى نفسي من ال symmetry .. لأ مافيه + +325 +00:25:23,450 --> 00:25:25,530 +symmetry .. اشتغلت في دي ثورة .. هو كان يلغي + +326 +00:25:25,530 --> 00:25:28,630 +مراقبة .. هو كان اشتغل تقريش .. بجيب كده .. فجيب + +327 +00:25:28,630 --> 00:25:32,810 +السيني و الصابير .. بتقريش بده جيه ..تمام؟ هاي + +328 +00:25:32,810 --> 00:25:36,150 +المشكلة بتفسيرها في المثال تمام؟ because of the + +329 +00:25:36,150 --> 00:25:38,570 +symmetry in the circuit هدى بيختارها و بيحطوها + +330 +00:25:38,570 --> 00:25:41,210 +التلاتة هل هى اللى بيعمله اللى هدى بيعمله فى اي + +331 +00:25:41,210 --> 00:25:44,090 +سؤال؟ لأ إذا هدى حالة خاصة because of the symmetry + +332 +00:25:44,090 --> 00:25:46,150 +in the circuit وين ال symmetry؟ بيقولوا واحد و + +333 +00:25:46,150 --> 00:25:49,750 +واحد واحد و واحد if they عندى symmetry the current + +334 +00:25:49,750 --> 00:25:54,650 +in the branches A and C and E and D must be equal + +335 +00:25:54,650 --> 00:25:58,170 +من هنا بدأت إن التجارة اللى هى مازى بيساوي التجارة + +336 +00:25:58,170 --> 00:26:01,900 +اللى هاعشان تساوية واحدة و اتنتين and hence the + +337 +00:26:01,900 --> 00:26:06,020 +point C and D have the same potential اللي طبعا و + +338 +00:26:06,020 --> 00:26:08,920 +انا و اياكم جبتوا VCD بالساوية سخيرة that if the + +339 +00:26:08,920 --> 00:26:11,980 +circuit can be reduced as in the figure بدي أحط + +340 +00:26:11,980 --> 00:26:18,220 +سليكي الآن جاني هيك بالسيرك هذا RT شوف CD ايش طبعا + +341 +00:26:18,220 --> 00:26:23,000 +اللي ساويت فيهه لذكتهم بعضC وD لذقته مضبعة، جيبت + +342 +00:26:23,000 --> 00:26:26,880 +سلك و لذقته، و هذيك طلقت فوق ملاي دي عوان، عفنة، + +343 +00:26:26,880 --> 00:26:31,220 +بتعفن، بساط، ولا إلها أهمية، يعني هذي، هذي، + +344 +00:26:31,220 --> 00:26:34,760 +شايفين؟ فاحة، هذي خمسة ولا عشر ولا تمانية ولا + +345 +00:26:34,760 --> 00:26:38,720 +تلاتة، بتفرق؟ ما هي مش مامور فيها تيارهجي في هذه + +346 +00:26:38,720 --> 00:26:43,300 +الدائرة صارت العملية سهلة بيقولي هادي و هادي هادي + +347 +00:26:43,300 --> 00:26:47,020 +ماريث بدون ما يقولوا على حاجة وهنا اصلا يا مارين + +348 +00:26:47,020 --> 00:26:51,860 +ان هدو كيف صاروا؟ توازي و هدو كيف صاروا؟ توازي اذا + +349 +00:26:51,860 --> 00:26:57,600 +الحال الخاص خلت في توازي توازي بالتوافر اللي صار + +350 +00:26:57,600 --> 00:27:04,060 +ان هدو بررين و هدو بررين و البررين نص و لا هك صار + +351 +00:27:04,060 --> 00:27:10,630 +تمام نص نصجيرد واحد تمام كمان مرة هذا مثال هذا + +352 +00:27:10,630 --> 00:27:14,170 +خاصة تعتمد على الأرقام الموجودة إذا اختلفت الأرقام + +353 +00:27:14,170 --> 00:27:18,770 +في هذا الحال بالضبط صحيح بمشي + +354 +00:27:18,770 --> 00:27:23,690 +هيك تمام و بكمل من هنا على طول بمشي هيك بتجمع + +355 +00:27:23,690 --> 00:27:27,630 +بعدين بتجمع و بعدين بتجمع تمام يعني هو بيجي بنجسم + +356 +00:27:27,630 --> 00:27:31,110 +هنا بتجمع و بعدين بتجمع هنا بعدين بتجمع و هناك + +357 +00:27:31,110 --> 00:27:35,910 +بيمرش أي سيارة في المقاومة تمام + +358 +00:27:39,320 --> 00:27:42,360 +كمان مثال آخر على هذا الموضوع + +359 +00:27:49,140 --> 00:27:51,760 +بيقول لي three resistors are connected in parallel + +360 +00:27:51,760 --> 00:27:54,600 +as shown a potential difference of 18 volt is + +361 +00:27:54,600 --> 00:27:59,140 +applied across points A and B بيقول لي هذا سؤال + +362 +00:27:59,140 --> 00:28:02,920 +برضه أمثلة جايبها مع الأسف سهلة .. سهلة كتير في + +363 +00:28:02,920 --> 00:28:06,080 +أحد الأسئلة بدي أحاول أحله من أسئلة اللي شوية + +364 +00:28:06,080 --> 00:28:10,320 +بتغلب هذه .. كيف بتوصيها دو الشباب؟ هدول متواصلة + +365 +00:28:10,320 --> 00:28:13,420 +على التوازي و إيش بده؟ بيقول لي find the current + +366 +00:28:13,420 --> 00:28:17,000 +in each resistor برضه هذا السؤال مالوش معنى لأنه + +367 +00:28:17,000 --> 00:28:18,700 +جديش الفرق الجهد على التلاتة Ohm + +368 +00:28:28,660 --> 00:28:32,360 +أي واحد بيساوي تمنتاش ع تلاتة أي اتنين بيساوي + +369 +00:28:32,360 --> 00:28:36,440 +تمنتاش ع ستة و أي تلاتة بيساوي تمنتاش ع تسعة اذا + +370 +00:28:36,440 --> 00:28:39,220 +هذه عملية سهلة كثير بعدين بيقول calculate the + +371 +00:28:39,220 --> 00:28:42,180 +power delivered to each resistors and the total + +372 +00:28:42,180 --> 00:28:46,690 +power delivered to the combinationبتمع في النهاية + +373 +00:28:46,690 --> 00:28:50,430 +since the resistors are connected in parallel the + +374 +00:28:50,430 --> 00:28:53,150 +potential difference across each one is the same + +375 +00:28:53,150 --> 00:28:57,650 +and equal to 18 volt وبالتالي I1 وI2 وI3 بقدر + +376 +00:28:57,650 --> 00:29:03,410 +أجيبها بالنسبة شباب للpower برضه بسهولة بقول P1 + +377 +00:29:03,410 --> 00:29:12,090 +equal I1 square في R1 طلع 108 wattP2 54W أو P3 36W + +378 +00:29:12,090 --> 00:29:19,250 +لو جيبت P equivalent هلاجيها 198W اجمعهم كلهم هما + +379 +00:29:19,250 --> 00:29:30,330 +نفسهم ال 100 او 98 او 90W الموضوع اللي بقت كده هو + +380 +00:29:30,330 --> 00:29:36,520 +Kirchhoff's rule وانا هكيرشوفزهول شويةأه و اللي + +381 +00:29:36,520 --> 00:29:42,760 +بطلوا اللي جابله الشبطر خلاص تمام ال quiz بس في ال + +382 +00:29:42,760 --> 00:29:47,360 +informative force يعني التوازي بيجي على ال quiz + +383 +00:29:47,360 --> 00:29:51,260 +اللي جيت تمام يعني بس ال informative force بروح ل + +384 +00:29:51,260 --> 00:29:55,920 +quiz الشبطر اللي جابله تمام بس أول الشبطر مع + +385 +00:29:55,920 --> 00:29:59,920 +الشبطر أخر أه بالظبط بدي أحل سؤال جابه اللي ماخش + +386 +00:29:59,920 --> 00:30:02,160 +على cash of role تكمل هذه المحاضرة مرة جديدة + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/GHGUFViKTzs.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/GHGUFViKTzs.srt new file mode 100644 index 0000000000000000000000000000000000000000..26a2d7de397e603a77d488f896c7704087dcd1ed --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/GHGUFViKTzs.srt @@ -0,0 +1,2712 @@ +1 +00:00:00,000 --> 00:00:02,700 +موسيقى + +2 +00:00:10,510 --> 00:00:14,970 +تمام نسمي باسم الله الرحمن الرحيم، و chapter 11 هو + +3 +00:00:14,970 --> 00:00:19,390 +الـ chapter الأخير في المادة بعنوان alternating + +4 +00:00:19,390 --> 00:00:24,950 +current circuits أو الـ AC circuits شباب زي ما + +5 +00:00:24,950 --> 00:00:28,410 +تشوفوا احنا بنحاول نجيب من الأسئلة اللي بنطلبها في + +6 +00:00:28,410 --> 00:00:32,010 +الامتحانات، لازم الطالب يكون حاول الأسئلة عشان تكون + +7 +00:00:32,010 --> 00:00:34,410 +الأمور سهلة، يعني الامتحان الثاني في الامتحان هو + +8 +00:00:34,410 --> 00:00:39,530 +أحد أسئلة الكتاب، وطبعًا في سؤال الأمبيرات هو مثال أو + +9 +00:00:39,530 --> 00:00:42,910 +بيزق من مثال، فبالتالي لما يحل أنت أسئلة الكتاب + +10 +00:00:42,910 --> 00:00:48,490 +بالقُفر بتكون أنت استفدت كثير، وغطيت كل المفاهيم اللي + +11 +00:00:48,490 --> 00:00:52,630 +موجودة، فبنحاول ما أمكن نجيب لنا سؤال منطقي ما يكونش + +12 +00:00:52,630 --> 00:00:56,630 +هو أصعب من ضمن الأسئلة اللي بتنتقى، هذه أسئلة في + +13 +00:00:56,630 --> 00:01:00,050 +كتابها أسئلة سهلة جدًا، في من كل سؤال بتلاقوه شوية + +14 +00:01:00,050 --> 00:01:04,870 +صعبين، لكن في النهاية الأفكار أنت بتاخدها، فبالتالي + +15 +00:01:04,870 --> 00:01:11,750 +الأسئلة هي موطن لأسئلة انتحار بتكون موجودة، تمام + +16 +00:01:12,900 --> 00:01:17,660 +Alternating Current Sources، احنا بنعرف الشابترز + +17 +00:01:17,660 --> 00:01:22,640 +كلها اللي ماضية، كان التيار اللي بناخده هو تيار + +18 +00:01:22,640 --> 00:01:28,420 +المستمر، وكان مصدره يُرمز له بالرمز هذا، أول ما تشوفها + +19 +00:01:28,420 --> 00:01:32,480 +نقول هذا رمز إيش؟ أيّه البطل؟ إيش بيعطيني؟ تيار + +20 +00:01:32,480 --> 00:01:35,900 +قيمة واحدة نقول والله التيار خمس أمبير، نكتب عليه + +21 +00:01:35,900 --> 00:01:40,240 +خمس أمبير ما فيش أيّ إشكالية، وهذا تيار مستمر قيمته + +22 +00:01:40,240 --> 00:01:46,950 +ثابتة، بنشوف التيار المتردد، ليه صار متردد؟ فبنشوف + +23 +00:01:46,950 --> 00:01:51,470 +alternating current sources، إيش هو المصدر اللي + +24 +00:01:51,470 --> 00:01:55,430 +بيخلي التيار يطلع عندي متردد؟ طبعًا هذا هو الجهاز + +25 +00:01:55,430 --> 00:02:00,170 +اللي بيولد لي التيار المتردد، أو هذا هو فكرة عمل أيّ + +26 +00:02:00,170 --> 00:02:03,030 +generator، مُطور الكهربا اللي عندكم في البيت هي فكرة + +27 +00:02:03,030 --> 00:02:08,110 +عمله، الدينامو تبع البسكليت، في أحد يعرف الدينامو + +28 +00:02:08,110 --> 00:02:14,480 +تبع البسكليت تبع زمان؟ بالضبط كيف كان يضوي؟ لازم تحط + +29 +00:02:14,480 --> 00:02:19,220 +الجرس على العجل، تمام؟ فكرة طويلة محلّها إنّ أنا + +30 +00:02:19,220 --> 00:02:24,260 +الحركة موجودة موجودة، ليش ما أستغلّها؟ فحركة العجل بتولد + +31 +00:02:24,260 --> 00:02:29,140 +الكهربا، بتخلي الملف يدور، حركة العجل نفسها، والـ + +32 +00:02:29,140 --> 00:02:31,900 +bus ride، في النهاية أنا بدّي إياه يدويّ، هو واقف ولا هو + +33 +00:02:31,900 --> 00:02:36,070 +ماشي؟ وهو ماشي، مازال ماشي، في إمكانية البسكليت يمشي + +34 +00:02:36,070 --> 00:02:39,910 +بدون ما يطفّي أنواره؟ الحركة جاية جاية، وبالتالي + +35 +00:02:39,910 --> 00:02:42,750 +بدون محطة بنزين، تشوفوا مالخاصة الكهربا تبع الـ dynamo + +36 +00:02:42,750 --> 00:02:47,490 +والبسكليت؟ بلاش، جاية من الحركة أصلاً موجودة، فهذه + +37 +00:02:47,490 --> 00:02:51,880 +فكرة عمل الـ generator أو الـ generators، نفس القضية كلهم شباب + +38 +00:02:51,880 --> 00:02:55,040 +بيعتمدوا على فكرة فاراداي، عشان كده أول ما جيبت فاراداي + +39 +00:02:55,040 --> 00:02:59,560 +قلت هذا قانون أساسي، عمل انقلاب في الدنيا إنّه كيف + +40 +00:02:59,560 --> 00:03:03,660 +أنا أَوَلِّد تيار كهربائي ويكون مستمرّ زي البطارية، كان + +41 +00:03:03,660 --> 00:03:08,780 +زمان كلّ… برضه الأجيال القديمة القديمة خالص، بدنا + +42 +00:03:08,780 --> 00:03:12,220 +نشوف التلفزيونات في غزة قبل ما تكون في كهربا في + +43 +00:03:12,220 --> 00:03:15,120 +أغلب البيوت، فكيف كانوا يشغلوا التلفزيونات؟ على + +44 +00:03:15,120 --> 00:03:18,190 +بطارية، يجيبوا بطارية زي بتاعة السيارة، ويشغلوا + +45 +00:03:18,190 --> 00:03:22,330 +التلفزيون، تمام؟ لأنّه بدهم كهربا، ما فيش كهربا، في + +46 +00:03:22,330 --> 00:03:28,050 +الآخر بدّت يعني الكهربا يمكن أنتو… يمكن آبائكم + +47 +00:03:28,050 --> 00:03:33,330 +في منكم مواليد السبعينات، تمام؟ الكهربا بأوائل + +48 +00:03:33,330 --> 00:03:36,590 +السبعينات بدّت تغزو غزة، بمعنى الكلمة، يعني كانت موجودة + +49 +00:03:36,590 --> 00:03:39,850 +قبل السبعينات، وفي الستينات من أيام المصريين، بس في + +50 +00:03:39,850 --> 00:03:43,990 +أحياء معينة، وكانت ضعيفة جدًا، بالاخر انتشرت الكهربا + +51 +00:03:43,990 --> 00:03:47,930 +في السبعينات، أنا بأذكر في الـ 72 هي الانقلاب اللي + +52 +00:03:47,930 --> 00:03:51,890 +صار في الكهربا، إنّه صار في توسعة شديدة على التيار + +53 +00:03:51,890 --> 00:03:54,410 +الكهربائي في مدينة غزة، وصارت منتشرة في أغلب + +54 +00:03:54,410 --> 00:03:58,450 +الأحياء، ولا كتير زمان في أحياء ما كانش فيه كهربا مرة + +55 +00:03:58,450 --> 00:04:01,830 +ولا بتالي لا كان في ثلاجات ولا غسالات ولا تلفزيونات + +56 +00:04:01,830 --> 00:04:05,680 +أو اللي عنده تلفزيون يشغلّه، ولا بيعملوا كوزات… + +57 +00:04:05,680 --> 00:04:08,580 +لأ، هذه الكوزات مشكلة، هذه كوزات wet، wet of the + +58 +00:04:08,580 --> 00:04:12,040 +city، من فرّح لسه، في التسعينات، يعني حتى الكعبة + +59 +00:04:12,040 --> 00:04:16,460 +تُعتبر بالعصر الجديد… يعني تُعتبر حديثة بالنسبة + +60 +00:04:16,460 --> 00:04:21,640 +لما نقول في السبعينات، قبل كده كانت ضعيفة أو قليلة + +61 +00:04:22,660 --> 00:04:25,920 +المهم إنّه أنا كان فيه انديبطارية، بتديني DC، بتشغل + +62 +00:04:25,920 --> 00:04:31,160 +تلفزيوني، بتشغل راديو، كل حاجة، بعد كده بدأنا إنّه + +63 +00:04:31,160 --> 00:04:35,820 +كيف القهربة تكون موجودة، وبكثرة، وبوفرة، فهذا هو + +64 +00:04:35,820 --> 00:04:40,520 +الجهاز، فكرة عمل أيّ generator، إيش هو؟ بقول هذا + +65 +00:04:40,520 --> 00:04:46,080 +عبارة عن مغناطيس، جوا المغناطيس موجود عشان يولِّد لي + +66 +00:04:46,080 --> 00:04:51,110 +مجال مغناطيسي، احنا بنقول فاراداي، إيش بيقول فاراداي؟ بيقول + +67 +00:04:51,110 --> 00:04:57,150 +في emf بتساوي سالب n dΦm على dt، هذه فاراداي، هذه بتساوي B في A في كوساين + +68 +00:04:57,150 --> 00:05:02,430 +الـ θ، مضبوط أو لا؟ إذا فاراداي بيقول، بيقول غيّر B + +69 +00:05:02,430 --> 00:05:07,150 +أو غيّر A أو غيّر الـ θ أو غيّر واحدة منهم على الأقلّ + +70 +00:05:07,150 --> 00:05:11,890 +بيصير في عندك emf، إذا صار في عندك تيار كهربائي، هذا + +71 +00:05:11,890 --> 00:05:15,610 +هو الفرضية، فقلنا إذا أنا بدّي بـ B قطعا قالوا هاي + +72 +00:05:15,610 --> 00:05:18,990 +مجال مغناطيسي، هاي بـ B ثابت، بدّي loop عشان يدخلش + +73 +00:05:18,990 --> 00:05:25,030 +فيها تيار، هاي الـ loop اللي أنا تبعتها ثابتة، بعدين بدّي + +74 +00:05:25,030 --> 00:05:30,130 +أغيّر فيه، تبدأ أخليها تلف، لما تلف هذه الـ loop شباب + +75 +00:05:30,130 --> 00:05:34,700 +الـ loop، أما تكون هيك أو تكون هيك، وبتلف قدرها، لما + +76 +00:05:34,700 --> 00:05:39,260 +تكون الـ loop هيك، شباب، كيف الـ area بتكون الـ loop + +77 +00:05:39,260 --> 00:05:43,380 +هيك؟ بتكون موازي الـ loop، يعني الـ area والـ مجال + +78 +00:05:43,380 --> 00:05:48,520 +المغناطيسي مع بعض، أو 180 درجة، و sin 180، cos 180، cos + +79 +00:05:48,520 --> 00:05:54,660 +01، صح أو لا؟ ولما تكون تسعين بتصير Zero، فمعناته + +80 +00:05:54,660 --> 00:06:01,470 +القيمة اللي أنت عندك طالعة أما بتطلع Zero أو بتطلع + +81 +00:06:01,470 --> 00:06:05,390 +تسعين درجة، وبالتالي مرات بتكون لها قيمة ومرات + +82 +00:06:05,390 --> 00:06:08,830 +ما لهاش قيمة، وبتأكس في التسعين درجة، فطبعًا المشكلة + +83 +00:06:08,830 --> 00:06:12,730 +وين إنّه إيش بيخليها تلف؟ طبعًا إن في البنزين + +84 +00:06:12,730 --> 00:06:18,340 +بيخليها تلف، تمام؟ طبعًا طاقة الرياح أخذنا في + +85 +00:06:18,340 --> 00:06:22,040 +المدارس إنّها ممكن تخليها تلف، في البسكولية العجل + +86 +00:06:22,040 --> 00:06:25,200 +بتخليها تلف، و… وفي النهاية أنا بدّي طاقة، إذا هو + +87 +00:06:25,200 --> 00:06:30,480 +الفكرة عمل أيّ generator بيحوِّل لي طاقة ميكانيكية إلى + +88 +00:06:30,480 --> 00:06:35,660 +طاقة كهربائية، طبعًا الميكانيكية كانت في إيجاد، ممكن + +89 +00:06:39,370 --> 00:06:43,250 +تكون كيميائية، ممكن تيجي، طبعًا كيميائية في بعض الـ + +90 +00:06:43,250 --> 00:06:47,330 +generator، ده كان ممكن تكون هوا، أو ممكن تكون شلالات + +91 +00:06:47,330 --> 00:06:51,490 +ميّة، لكن احنا بالنسبة لنا طاقة كيميائية بتصير + +92 +00:06:51,490 --> 00:06:54,630 +ميكانيكية، وبعدين ترجع كهربية، والكهربية بعد كده + +93 +00:06:54,630 --> 00:06:58,610 +بأستخدمها بكل الاستخدامات الممكنة، أما حرارية أو + +94 +00:06:58,610 --> 00:07:02,930 +ضوئية، أو بمجردها بيخليها حركية، زي الهوات بتبدأ + +95 +00:07:02,930 --> 00:07:06,920 +حركة، وبعدين ترجع حركة، فهذا المهم طاقة واحنا عارفين + +96 +00:07:06,920 --> 00:07:12,920 +إنّ الـ energy is conserved، وبالتالي conserved هذا + +97 +00:07:12,920 --> 00:07:15,920 +لا يعني إنّه ما تتحولش من نوع لنوع، يعني طاقة حركة + +98 +00:07:15,920 --> 00:07:19,000 +بتصير طاقة وضع، بتصير طاقة حرارة، بتصير طاقة حركة كمان مرة + +99 +00:07:19,000 --> 00:07:24,020 +فالمهم أنواع مختلفة من الطاقة، بيقول لي generators + +100 +00:07:24,020 --> 00:07:28,040 +or dynamo، مرات بيسمّوه dynamo، أول ما سُمّي سُمّي + +101 +00:07:28,040 --> 00:07:31,300 +dynamo، وبعدين صار generator is a device that + +102 +00:07:31,300 --> 00:07:35,440 +operate according to the electromagnetic induction + +103 +00:07:35,440 --> 00:07:40,140 +of Faraday's law، إذا الفكرة العاملة هو فاراداي، it + +104 +00:07:40,140 --> 00:07:43,500 +is a device that produce a current by converting + +105 +00:07:43,500 --> 00:07:46,920 +the mechanical energy into electrical energy، هيدا + +106 +00:07:46,920 --> 00:07:50,580 +هيدا شغلات بس طبعًا إيش بيبنيّ؟ بتتكون زي ما أنتو + +107 +00:07:50,580 --> 00:07:55,680 +شايفين، عندي لفة موجودة في مجال مغناطيسي، أو الـ loop + +108 +00:07:55,680 --> 00:08:00,210 +هذا بضوءه، أول مطلوب هذا بيضوي لإن صار في عندي تيار + +109 +00:08:00,210 --> 00:08:04,530 +كهربائي بحسب فاراداي، طبعًا هذه التركيبة اللي احنا مش + +110 +00:08:04,530 --> 00:08:06,990 +معنين فيها ولا بنجيب تركيبة الـ dynamo ولا تركيبة + +111 +00:08:06,990 --> 00:08:09,210 +الـ generator ولا كل هذه الأمور، لإنها شغل السهل + +112 +00:08:09,210 --> 00:08:14,750 +وممكن واحد يحفظها، يقول إذا الـ loop تتغير، طول ما الـ loop + +113 +00:08:14,750 --> 00:08:19,790 +تلف الوضع المغناطيسي يتغير مع الوقت، أنا بدّي أغيّر + +114 +00:08:19,790 --> 00:08:23,270 +بـ θ، إذا معناته إذا غيّرت θ معناته الوضع + +115 +00:08:23,270 --> 00:08:28,750 +تتغير، الوضع يتغير مع الزمن، inducing an emf and so + +116 +00:08:28,750 --> 00:08:32,030 +a current in the external circuit، صافي عندي طيارة + +117 +00:08:32,030 --> 00:08:36,590 +خلينا نشتغله نشوفه، يقول suppose that the loop with + +118 +00:08:36,590 --> 00:08:41,340 +area a مساحتها a، وثابتة، rotates with constant + +119 +00:08:41,340 --> 00:08:44,980 +angular speed ω، بتلف بسرعة معينة أنا بعرفها، + +120 +00:08:44,980 --> 00:08:49,280 +احنا طبعًا عندنا خمسين هرتز، أغلب الـ generators + +121 +00:08:49,280 --> 00:08:53,480 +خمسين هرتز، ده خليها هرتز، ω and suppose the θ + +122 +00:08:53,480 --> 00:08:55,440 +at the angle between the magnetic field and the + +123 +00:08:55,440 --> 00:08:58,120 +area of the loop، the magnetic flux، ده ليه يحسب الـ + +124 +00:08:58,120 --> 00:09:00,560 +magnetic flux؟ بقول له إيه الـ magnetic flux بيساوي + +125 +00:09:00,560 --> 00:09:03,780 +B ضبط الـ A على اعتبار إنّ B uniform constant + +126 +00:09:03,780 --> 00:09:11,590 +بتطلعها برّة التكامل، لأنّ الـ flux بتساوي تكامل B.dA + +127 +00:09:11,590 --> 00:09:17,550 +طلع الـ B برّة فتصبح B.A، B.A، صحيح B في A في كوساين + +128 +00:09:17,550 --> 00:09:21,470 +الـ θ، بقدر أقول الـ θ بتساوي ω في T + +129 +00:09:21,470 --> 00:09:25,630 +ماشي، الـ θ هي الإزاحة الزاوية بتساوي السرعة + +130 +00:09:25,630 --> 00:09:28,210 +الزاوية في الزمن، تمام، عملنا علاقة أخذناها الـ + +131 +00:09:28,210 --> 00:09:31,010 +physicists، جانوا هاي الـ flux اشتغلها الـ gate + +132 +00:09:31,010 --> 00:09:36,510 +اشتغل على فاراداي، therefore the induced emf in the + +133 +00:09:36,510 --> 00:09:40,450 +loop is given by، فاراداي بيقول لي فاضل إيش هو؟ فاضل الـ + +134 +00:09:40,450 --> 00:09:46,310 +cosine؟ سالب ساين، سالب ساين، و ω بتطلع برّة ولا لأ؟ + +135 +00:09:46,310 --> 00:09:51,010 +أنا ثابتة، فصار سالب، ويجانب السالب من الـ cosine + +136 +00:09:51,010 --> 00:09:56,110 +راح السالب، بـ A في ω sin ωt، هاي قليل اتحكّي + +137 +00:09:56,110 --> 00:10:02,350 +تمام، إيش ها دي؟ قال لي ها دي sin ωt، ها دي إيه + +138 +00:10:02,350 --> 00:10:08,630 +لها وحدات شباب؟ و ω في t إليها واحدة كده؟ و ω + +139 +00:10:08,630 --> 00:10:12,010 +في t إليها واحدة كده؟ و ω في t إليها واحدة كده؟ + +140 +00:10:12,010 --> 00:10:12,870 +واحدة كده؟ و ω في t إليها واحدة كده؟ و ω في + +141 +00:10:12,870 --> 00:10:15,850 +t إليها واحدة كده؟ و ω في t إليها واحدة كده؟ + +142 +00:10:15,850 --> 00:10:19,270 +و ω في t إليها واحدة كده؟ و ω في t إليها + +143 +00:10:19,270 --> 00:10:26,230 +واحدة كده؟ و ω في t إليها واحدة + +144 +00:10:26,230 --> 00:10:29,610 +كده؟ و ω في t إليها واحدة كده؟ و ω في t + +145 +00:10:29,610 --> 00:10:34,590 +إليها واحدة كده؟ و ω، إذا الجهد اللي طلع عندك زي + +146 +00:10:34,590 --> 00:10:38,610 +ما تشوفينه الـ sin، ومشكلة الـ sin إيش كيف رسمت + +147 +00:10:38,610 --> 00:10:43,390 +الـ sin يا شباب؟ جدّاش قيمة الجهود؟ من يقول لي جدّاش + +148 +00:10:43,390 --> 00:10:48,370 +قيمة الجهود؟ بتقدر تعرفها؟ تتغير؟ هنا صفر هنا + +149 +00:10:48,370 --> 00:10:55,940 +maximum، رجعت صفر، رجعت بالسالب، ورجعت… إذا من هنا أتت + +150 +00:10:55,940 --> 00:11:01,960 +حكاية إنّ التيار متردد ما لهوش قيمة ثابتة، من هنا أتت + +151 +00:11:01,960 --> 00:11:07,480 +إنّ عندك sign وقيمة الـ sign مقدرش تثبتها بتتغيّر، و + +152 +00:11:07,480 --> 00:11:13,440 +بظلّ متغيّر إلى ما نهاية، this means that the emf + +153 +00:11:13,440 --> 00:11:17,580 +varies with time according to the sign function + +154 +00:11:17,580 --> 00:11:25,420 +تمام، because of that we have a cSource AC + +155 +00:11:25,420 --> 00:11:31,680 +Alternating Current AC، هديك بسمّيه DC Direct + +156 +00:11:31,680 --> 00:11:37,060 +Current، إذا بسمّيه AC، من وين؟ لأنّ الـ sign مترددة + +157 +00:11:37,060 --> 00:11:42,980 +تتغيّر، تمام؟ طيّب هذا رمز الـ DC Circuit، الـ DC Source + +158 +00:11:42,980 --> 00:11:46,900 +طب هيدا إيش بيعملوا رمز؟ قالوا واحد بيعمل هيك وحطّ + +159 +00:11:46,900 --> 00:11:52,530 +شوية الـ sign، هذا هو الرمز، من يوم يطلع، أول ما أشوفه + +160 +00:11:52,530 --> 00:11:56,130 +بيقول هذا بيطلع، اعتبره ماتور كهربا، هذا generator + +161 +00:11:56,130 --> 00:11:59,870 +هذا الـ generator هو اللي بيولد التيار الكهربائي + +162 +00:11:59,870 --> 00:12:04,410 +المتردد، هذا رمزه في الدوائر الكهربائية، AC source + +163 +00:12:04,410 --> 00:12:11,240 +تمام، بعد ما رسمته هيك كنا عارفينها، وواضح الآن إنّ + +164 +00:12:11,240 --> 00:12:16,740 +التيار بيتغير من maximum لـ minimum، من maximum لـ- + +165 +00:12:16,740 --> 00:12:22,730 +maximum، إلى ما نهاية، طبعًا الـ frequency عشان الدور + +166 +00:12:22,73 + +201 +00:14:43,350 --> 00:14:50,610 +فرق الجهد بحطه متردد هذه بيقول يسميها I maximum بس + +202 +00:14:51,960 --> 00:14:56,740 +لأن هذه قيمة أظمى فبتصير التيار بما أنه جهد متردد + +203 +00:14:56,740 --> 00:15:00,680 +فالتيار متردد بالقطع بالضبط زي ما أنتم شايفينها + +204 +00:15:00,680 --> 00:15:05,460 +وهي التيار بتطلع من قيمة maximum لقيمة minimum + +205 +00:15:05,460 --> 00:15:11,260 +تمام هذه الرسمة لل DC circuit عشان أحول ال AC ل DC + +206 +00:15:11,260 --> 00:15:15,150 +لازم يكون في خطوات بتعرفوا كيف أنه هادي أول بجيبها + +207 +00:15:15,150 --> 00:15:18,650 +هيك بالدايود وبعدين بعمل أكثر من دائرة دايويد عشان + +208 +00:15:18,650 --> 00:15:22,870 +تصير القمم جانب بعض بحيث أنّه تكون خط مستقيم زي + +209 +00:15:22,870 --> 00:15:27,590 +هيك وبرجع لل DC circuit واللي اللي عنده laptop + +210 +00:15:27,590 --> 00:15:33,210 +أو حتى الجوال لو تتطلع عليه الشاحن بيكون كاتب لك بره + +211 +00:15:33,210 --> 00:15:36,550 +ايش هو ال output اللي بتاخده منه ال output غالبا + +212 +00:15:36,550 --> 00:15:42,400 +بيكون DC وطبعا يمكن الجوالات 3 volt والـ .. حسب + +213 +00:15:42,400 --> 00:15:46,760 +3 volt 3.7 volt والـ .. وال laptop + +214 +00:15:46,760 --> 00:15:53,340 +بعرفش 12 .. 19 volt ممكن يكون حسب الشغل + +215 +00:15:53,340 --> 00:15:56,700 +فبالتالي وكلهم كاتبين عليه DC بمعنى آخر هذا + +216 +00:15:56,700 --> 00:16:00,160 +الجهاز في ال laptop بتاعه في وانتم بين وصفه وهذا + +217 +00:16:00,160 --> 00:16:04,060 +فيه العلبة دي هذه العلبة الشيء هذه هي بتحول لك ال + +218 +00:16:04,060 --> 00:16:09,840 +voltage من 220 لل 12 وبتحول لك إياه من AC لـ DC ونفس + +219 +00:16:09,840 --> 00:16:13,500 +العملية في الجوال الشاحن أنت بتحطه في فيش صغير فيش + +220 +00:16:13,500 --> 00:16:17,460 +كبير هذا الجهاز اللي جوه هذا برضه يسموه transformer + +221 +00:16:17,460 --> 00:16:24,480 +بيحول من AC لـ DC وبيعمل تحويل أيضا من 220 volt ل + +222 +00:16:24,480 --> 00:16:28,360 +3 volt أو 6 volt أو اللي بدك إياه حسب في بعض + +223 +00:16:28,360 --> 00:16:32,040 +الراديوهات بيشتغلوا على 6 volt أو 9 volt بحسب كل + +224 +00:16:32,040 --> 00:16:33,660 +هذه الشغلات بتتحول + +225 +00:16:39,720 --> 00:16:44,780 +لأ لأ مش بضرورة التيار برضه أنا بتحكم فيه لأنه هذا + +226 +00:16:44,780 --> 00:16:51,860 +بيعمل شغلات كثيرة جوه الجهاز transformer تمام طبعا + +227 +00:16:51,860 --> 00:16:55,080 +الجهد بنكتبه من يوم بطلع أن الجهد بيساوي V maximum + +228 +00:16:55,080 --> 00:16:59,300 +sine Omega T I بيساوي I maximum sine Omega T و V + +229 +00:16:59,300 --> 00:17:04,560 +بيساوي V maximum sine Omega T بالتالي ال sine وهي + +230 +00:17:04,560 --> 00:17:07,200 +اللي بتقولي أن هذا التيار متردد + +231 +00:17:16,900 --> 00:17:21,940 +وين؟ بس ما فضلناش هنا ماشي دي تي عادي تفرجي على ال + +232 +00:17:21,940 --> 00:17:25,380 +sign طبعا في النهاية cosine وال sign إخوة تفرجي + +233 +00:17:25,380 --> 00:17:31,640 +معانا طبعا بس هي عشان كده انجلبت ال sign تمام طبعا + +234 +00:17:31,640 --> 00:17:34,540 +I maximum و V maximum بيسموها peak current and + +235 +00:17:34,540 --> 00:17:38,240 +peak voltage دي معروفة ال peak اللي هي الذروة تمام + +236 +00:17:38,240 --> 00:17:45,210 +الآن مشكلة التيار المتردد شباب أمين متردد أنا في + +237 +00:17:45,210 --> 00:17:50,290 +النهاية قد إيش قيمة التيار الأصل ما أقدرش أعرف لأنه + +238 +00:17:50,290 --> 00:17:54,370 +إيه القيمة واحدة هو؟ إيه عدد القيم؟ يعني لما أقول + +239 +00:17:54,370 --> 00:17:59,530 +أنا التيار نفترض أنه 5 أمبير بقدر أقول التيار + +240 +00:17:59,530 --> 00:18:04,050 +دايما 5 أمبير؟ لأ مبتثبتش 5000 مرة بيصير ثالث خمسة + +241 +00:18:04,050 --> 00:18:07,190 +أمبير ومرات بيصير 3 أمبير ومرات بيصير صفر صح + +242 +00:18:07,190 --> 00:18:10,790 +ولا لأ؟ لأن في قيم كثيرة طب إذا احنا بنحط الأميتر + +243 +00:18:10,790 --> 00:18:16,980 +الأميتر بيعطيك القيمة إيش هي قيمة ال gas هذه؟ تمام + +244 +00:18:16,980 --> 00:18:19,500 +الـrms most value وفي نفس العملية أنا لما أقول أن + +245 +00:18:19,500 --> 00:18:23,560 +عندي جهد 220 volt إيش بيساوي؟ كيف عرفته 220؟ إيش + +246 +00:18:23,560 --> 00:18:26,340 +هي القيمة هذه؟ إذا أنا لما يكون في عندي قيمة + +247 +00:18:26,340 --> 00:18:29,920 +متغيرة شباب المنطق ياخد ال average زي ما كنا + +248 +00:18:29,920 --> 00:18:34,160 +بيقول والله سيارة بتتحرك من هنا لرفح هل كانت سرعتها + +249 +00:18:34,160 --> 00:18:38,730 +ثابتة؟ لأ إيه كانت ويمشي على فكرة مرة بتسرع ومرة + +250 +00:18:38,730 --> 00:18:41,830 +بتتنطق لكن في النهاية ممكن أقول قد إيش كانت سرعتها + +251 +00:18:41,830 --> 00:18:44,630 +بقول بجيب ال average velocity بجيب ال total + +252 +00:18:44,630 --> 00:18:47,030 +distance على ال total time وبقول هذه ال average + +253 +00:18:47,030 --> 00:18:50,610 +velocity إذا الشخص مجتمع متغيرة متعرف عليه ناخد ال + +254 +00:18:50,610 --> 00:18:53,210 +average جالي هنا في عندك مشكلة أنت كيف تجيب ال + +255 +00:18:53,210 --> 00:18:57,310 +average في الرياضيات؟ كيف تجيب ال average؟ بنجمعهم + +256 +00:18:57,310 --> 00:19:01,370 +ونقسمهم على عددهم طيب لما يكون في عندك أعداد + +257 +00:19:01,370 --> 00:19:06,210 +موجبهم بيساوي سالبهم كده بيكون ال average؟ صفر طب + +258 +00:19:06,210 --> 00:19:11,310 +وال sign من رسمتها مش موجبه بيساوي سالبه مش هي موجبه + +259 +00:19:11,310 --> 00:19:18,630 +وهي سالبه خدي الأمر يشبه عمليات بتطلع zero لما تقول + +260 +00:19:18,630 --> 00:19:22,650 +zero ما هو مشكلته في الأول قبل ال average zero + +261 +00:19:22,650 --> 00:19:30,350 +أمين لكن هل أنت مش عندك تيار لأ نرجع لما مرة صار + +262 +00:19:30,350 --> 00:19:35,110 +في نقاش أنّه أنا إيش بدي من التيار أنا التيار بدي + +263 +00:19:35,110 --> 00:19:41,780 +منه طاقة كهربية من وين أتت الطاقة؟ التيار أصلا إيش + +264 +00:19:41,780 --> 00:19:44,960 +هو؟ حركة الشحنات ولا مش حركة الشحنات؟ إذا أجبرت + +265 +00:19:44,960 --> 00:19:49,720 +أنا الشحنات أنّه تتحرك أخد الطاقة منها وانتش + +266 +00:19:49,720 --> 00:19:53,540 +بأجبر الشحنات تتحرك أعمل فرق جهد لما تعمل فرق + +267 +00:19:53,540 --> 00:19:57,640 +جهد بين طرفي أي سلك تنتقل الشحنات من الأعلى جهد + +268 +00:19:57,640 --> 00:20:02,350 +للأقل جهد غصب عنها إذا تحركت معناته صار في + +269 +00:20:02,350 --> 00:20:07,290 +عندي طاقة طاقة حركية سخن السلك صار في طاقة حرارية و + +270 +00:20:07,290 --> 00:20:10,910 +هكذا بقول في النهاية في ال DC circuit الإلكترونات + +271 +00:20:10,910 --> 00:20:13,890 +بتمشي باتجاه واحد في ال EC circuit مش بتساوي وراي + +272 +00:20:13,890 --> 00:20:19,450 +حاجة هي في الآخر هذه تحركت وهذه تحركت أنت كمحصلة + +273 +00:20:19,450 --> 00:20:22,810 +من هنا ماخذ طاقة ومن هنا ماخذ طاقة يعني لو جبت + +274 +00:20:22,810 --> 00:20:26,430 +أنت دفاية دفاية تحت الإصبع البسيطة تحت الكهربا + +275 +00:20:26,880 --> 00:20:32,660 +حطيتها في البريز وكان الكهرباء جاية بتحمر؟ لو جسد + +276 +00:20:32,660 --> 00:20:38,480 +التيار قد إيش؟ صفر هل يجيك بيقول لي التيار جاله فيه + +277 +00:20:38,480 --> 00:20:45,030 +كهرباء حطيتها للبريز وحطيتها بتحمر وتحمرش؟ تحمر يعني + +278 +00:20:45,030 --> 00:20:48,110 +صار فيك طاقة حرارية ولا لأ؟ لكن في نهاية ال average + +279 +00:20:48,110 --> 00:20:51,230 +current zero إذا في غير منطقي أن ال average + +280 +00:20:51,230 --> 00:20:55,290 +current zero وأنت في الآخر ما موجود قالوا تعالوا نعمل + +281 +00:20:55,290 --> 00:20:58,910 +رياضيات لأ هذه ال average مش هيك تحسب لما يكون + +282 +00:20:58,910 --> 00:21:02,170 +القيمة صفر وبالهبل ما فيش معنى قالوا ما فيش أسهل منها + +283 +00:21:02,170 --> 00:21:08,190 +تعالوا لحظة نقولها مخرج قالوا ربع أول ربع هذه لما + +284 +00:21:08,190 --> 00:21:12,750 +تربعها بتصير هيك فقالت لما تاخدها بيطلع موجب وسالب بيصير موجب ويوجب قال أخد الجزء التربيعي لما + +285 +00:21:12,750 --> 00:21:17,150 +تأخذ الجزء التربيعي خذ ال average sorry بعد ما + +286 +00:21:17,150 --> 00:21:20,830 +تأخذ ال average ارجع خذ الجزء التربيعي هذه ال RMS + +287 +00:21:20,830 --> 00:21:24,410 +value إذا أنا ليش برجع لل RMS value عشان لو جبت ال + +288 +00:21:24,410 --> 00:21:28,270 +average وأنا مغمض average عادي بتطلع معايا نتيجة + +289 +00:21:28,270 --> 00:21:30,810 +صفر وهذه مش منطقية مع طبيعة العملية أنك أنت في + +290 +00:21:30,810 --> 00:21:34,790 +الآخر ليش كمان ربعنا بقول لك في النهاية أنت بدك طاقة + +291 +00:21:34,790 --> 00:21:38,950 +شباب أنا بدي الكهرباء بليش بدي عشان اضوي معه طاقة + +292 +00:21:38,950 --> 00:21:43,110 +ضوئية بدي أشغل الغسالة، بدي طاقة حركية، أشغل الهواء + +293 +00:21:43,110 --> 00:21:48,800 +وطاقة حركية، أشغل الدفاية، بدي طاقة حرارية، صح + +294 +00:21:48,800 --> 00:21:52,360 +ولا لأ؟ إذا في النهاية أنا بدي طاقة، جالي من أين + +295 +00:21:52,360 --> 00:21:54,980 +بيجيب الطاقة؟ جالي الطاقة جاية من البر، أي تربيع + +296 +00:21:54,980 --> 00:21:58,340 +في ال R، تربيع في زمن هي الطاقة إذن ال Power لها + +297 +00:21:58,340 --> 00:22:02,310 +دعوة بال I ولا بال I تربيع .. لها بال I تربيع + +298 +00:22:02,310 --> 00:22:05,630 +.. بس سالب ليش قيمة عندك .. مالكاش دعوة وين تنشي + +299 +00:22:05,630 --> 00:22:09,150 +.. فبالتالي هذه حكاية ال I تربيع لها معنى كثير .. + +300 +00:22:09,150 --> 00:22:12,990 +إنك أنت بدك الشحنات تتحرك .. كيف تتحرك .. بأي + +301 +00:22:12,990 --> 00:22:16,490 +اتجاه .. مالكاش دعوة .. المهم تتحرك .. إذا تحركت + +302 +00:22:16,490 --> 00:22:19,570 +.. أخدت الطاقة اللي بدك إياها .. إذن أنا بدي أحافظ + +303 +00:22:19,570 --> 00:22:22,870 +على حركة الإلكترونات بمعنى آخر .. صار في عندك تيار + +304 +00:22:22,870 --> 00:22:26,930 +.. بغض النظر كيف اتدارش .. حتى لو واحد إيجاه .. + +305 +00:22:26,930 --> 00:22:29,850 +المهم في النهاية محصل عليه وبالتالي بيقول it is + +306 +00:22:30,330 --> 00:22:33,750 +clear من رسمة ال sine و ال cosine that the average + +307 +00:22:33,750 --> 00:22:37,610 +value of an AC is zero this doesn't mean however + +308 +00:22:37,610 --> 00:22:43,750 +that no power is needed or that is no heat is + +309 +00:22:43,750 --> 00:22:46,770 +produced in a resistor برغم أن ال average is zero + +310 +00:22:46,770 --> 00:22:50,190 +لكن هذا لا يعني أنه الدفاية ما حمرتش حمرت مع أنّه + +311 +00:22:50,190 --> 00:22:54,730 +في انبعاث طاقة حرارية أي تاتي Electrons for EC move + +312 +00:22:54,730 --> 00:22:59,720 +forth and back و + +313 +00:22:59,720 --> 00:23:03,980 +هي مصدر الطاقة تحركت تمام it is known that the + +314 +00:23:03,980 --> 00:23:10,020 +power dissipated in a resistor is given power وهي + +315 +00:23:10,020 --> 00:23:12,800 +قانون ال power أصلا ال power بيساوي I تربيع في ال R + +316 +00:23:12,800 --> 00:23:16,000 +ال I أنت بتقول عنه AC ربعه هادي ال sign تربيع هي + +317 +00:23:16,000 --> 00:23:20,960 +تصير تربيع شباب فيها سالب مش فيها سالب خذي ال + +318 +00:23:20,960 --> 00:23:25,530 +average تبعها بيقول لي since the current is now + +319 +00:23:25,530 --> 00:23:28,470 +squared we see that the power is always positive + +320 +00:23:28,470 --> 00:23:31,930 +تمام it is easy to show that the average value of + +321 +00:23:31,930 --> 00:23:35,850 +الـ sine تربيع نص الـ sine تربيع نص طبعا في اشتقاق رياضي + +322 +00:23:35,850 --> 00:23:41,790 +إيه لها طبعا أنتم بتعرفوا أن ال sine من واحد لنص من + +323 +00:23:41,790 --> 00:23:45,090 +زي ما حاكم من صفر لواحد كيف تعرف صارتها دي average + +324 +00:23:45,090 --> 00:23:48,530 +طب وال sine؟ وال sine قد إيش ال average تبعها؟ لأ + +325 +00:23:48,530 --> 00:23:54,790 +average ال sine مش واحد على واحد مش نص مش نص هذه من + +326 +00:23:54,790 --> 00:23:59,170 +يوم اللي جت شباب من العراق اللي أنتم حافظينها قد إيش + +327 +00:23:59,170 --> 00:24:04,110 +هذه؟ واحد إيش بفرق ال sine عن ال cosine؟ ولا أي + +328 +00:24:04,110 --> 00:24:09,810 +شيء بس من يوم بدأ من ال phase معناته قال لي هذه حط + +329 +00:24:09,810 --> 00:24:15,430 +محلها sine تربيع إيه + +330 +00:24:15,430 --> 00:24:19,950 +صارت؟ + +331 +00:24:19,950 --> 00:24:20,470 +صارت؟ + +332 +00:24:23,620 --> 00:24:28,380 +إذا sine تربيع بيساوي نص الـ sine كده؟ واحد عايز زي + +333 +00:24:28,380 --> 00:24:33,250 +التاني إذا بيساويش نصفهم عليا؟ إذا هذه هي من هذه + +334 +00:24:33,250 --> 00:24:36,650 +القاعدة من ال identity المشهورة sin تربيع plus + +335 +00:24:36,650 --> 00:24:39,070 +cosine تربيع equal to one طبعا أنا كتب استبدالها + +336 +00:24:39,070 --> 00:24:42,430 +لأنّه لما نقول لك أنت لما تجيب average تجيب أي زاوية + +337 +00:24:42,430 --> 00:24:46,770 +أو أي function sin أو cosine وشوفه من النص تقدر + +338 +00:24:46,770 --> 00:24:50,130 +تميز بينهم أنّه sin أو cosine؟ لأ في الرياضيات + +339 +00:24:50,130 --> 00:24:53,710 +بيعتبروا ال sin و ال cosine نفس ال function بس هي + +340 +00:24:53,710 --> 00:24:59,100 +من وين بدي و بس مش أكثر زي ما نقول F of X و F of X + +341 +00:24:59,100 --> 00:25:03,060 +plus E في النهاية ما بيفجوش يعني من أين بدي أبدأ + +342 +00:25:03,060 --> 00:25:08,660 +ما فيش فرق فهذه sin تربيع بتساوي half وبالتالي and + +343 +00:25:08,660 --> 00:25:12,740 +so the average value of the power I تربيع is نص I + +344 +00:25:12,740 --> 00:25:17,280 +maximum تربيع هذا ال average وبالتالي ال power + +345 +00:25:17,280 --> 00:25:24,550 +بتصير نص I maximum تربيع في R هذا هو ال power و + +346 +00:25:24,550 --> 00:25:29,610 +بتساوي نص V maximum تربيع على R عشان ما يصيح فينا + +347 +00:25:29,610 --> 00:25:32,410 +قوانين كثيرة إيه القوانين اللي بعرفها ال power + +348 +00:25:32,410 --> 00:25:37,970 +بتساوي I تربيع في R وبتساوي V تربيع على R طبعا إذا + +349 +00:25:37,970 --> 00:25:41,550 +جاله عشان هذا القانون اللي دلوقت صار المفعول مانعه + +350 +00:25:41,550 --> 00:25:45,930 +هذه I بدا تساوي I maximum على جزء تربيعي للاثنين + +351 +00:25:45,930 --> 00:25:48,570 +وهذه اللي بيسموها ال RMS value + +352 +00:25:51,720 --> 00:25:56,940 +هو ما هو المهم لتخطيط قوة التقارير إذا قيمة أساسية + +353 +00:25:56,940 --> 00:26:02,200 +أساسية قيمة أساسية قيمة قيمة قيمة أساسية قيمة قيمة + +354 +00:26:02,200 --> 00:26:03,080 +قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة + +355 +00:26:03,080 --> 00:26:03,300 +قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة + +356 +00:26:03,300 --> 00:26:03,400 +قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة + +357 +00:26:03,400 --> 00:26:10,700 +قيمة قيمة قيمة قيمة + +358 +00:26:10,700 --> 00:26:16,490 +قيمة قال mean هو ال average ال squares المربع + +359 +00:26:16,490 --> 00:26:19,590 +بتاخد ال average للتربيع وبعدين بتاخد ال + +360 +00:26:19,590 --> 00:26:22,890 +square root ف ال root mean square وهذه قاعدة + +361 +00:26:22,890 --> 00:26:26,790 +إحصائية مشهورة لما يكون عندك ال average zero يكون + +362 +00:26:26,790 --> 00:26:30,830 +في عندك plus و minus بتربع بتاخد ال average وبعدين + +363 +00:26:30,830 --> 00:26:36,630 +بتاخد الجزء التربيعي فإذا معناته ال I RMS Value + +364 +00:26:36,630 --> 00:26:39,250 +لأي قيمة هي ال I max مع جزء تربيعي للثنين + +365 +00:26:39,250 --> 00:26:44,010 +النص هي التربيع لما ناخد من ال sign لحالها واحد + +366 +00:26:44,010 --> 00:26:50,210 +على الاثنين هذه هي القيمة الفعالة اللي أنت بتقيسها + +367 +00:26:50,210 --> 00:26:54,930 +واللي أنت لما تقول الجهد 220 volt معناته هذه + +368 +00:26:54,930 --> 00:27:00,690 +قيمة إيش؟ ال RMS Value للجهد أو ال RMS Value للتيار + +369 +00:27:00,690 --> 00:27:05,210 +هذه هي قيمة ال V RMS بيساوي Maximum على جذر الاثنين + +370 +00:27:05,210 --> 00:27:09,450 +The RMS value of V and I are sometimes called the + +371 +00:27:09,45 + +401 +00:29:12,310 --> 00:29:15,850 +المتردد هذا كيف بيبقى يتعامل معاه بكرا في الجامعة + +402 +00:29:15,850 --> 00:29:19,630 +يعني بمعنى آخر خليني أطبّق كيرشوف إيش هو كيرشوف + +403 +00:29:19,630 --> 00:29:23,790 +بيقول لي اجمع جميع الجهود حوالين أي closed loop + +404 +00:29:23,790 --> 00:29:27,830 +بتسويها في zero مظبوط ولا لأ؟ طبعًا خليني اجمع هدول + +405 +00:29:27,830 --> 00:29:32,820 +ال two functions I function وخلّيني أسميها I + +406 +00:29:32,820 --> 00:29:37,140 +-function كيف بدنا نجمعهم هذين الـ two functions؟ + +407 +00:29:37,140 --> 00:29:43,320 +هجيتنا افترض لو هذه خمسة هذه، وهذه تلاتة هل بتقدر + +408 +00:29:43,320 --> 00:29:49,420 +تقول جمعهم تمانية؟ لأ ليه؟ بتقول لما هذه خمسة، هذه + +409 +00:29:49,420 --> 00:29:54,180 +إيش كانت؟ مش عارف هل كانت تلاتة ولا كانت اتنين، و + +410 +00:29:54,180 --> 00:29:58,040 +لا كانت صفر؟ لو كانت هذه هنا بدأت من الصفر هنا + +411 +00:29:58,040 --> 00:30:02,560 +لطلع.. لو هنابطرة تلاتة يمكن واحد بالتالي كده + +412 +00:30:02,560 --> 00:30:06,200 +تجمع باعتمد على أنهم كيف يكونوا مع بعض زي ال + +413 +00:30:06,200 --> 00:30:10,020 +vectors شباب هجيت لو تلاتة وأربع جالدي جمعهم + +414 +00:30:10,020 --> 00:30:14,140 +العاديين سبعة لو إنتين كانوا في ال X بقول جمعهم + +415 +00:30:14,140 --> 00:30:16,180 +سبعة لو واحدة في ال X واحدة في ال Y جالدي جمعهم + +416 +00:30:16,180 --> 00:30:20,990 +خمسة لو بينهم زاوية لها خمسة ولا سبعة؟ إذا معناته + +417 +00:30:20,990 --> 00:30:24,570 +كيف تتعامل معاهم هدول؟ قالوا بدي أعمل لهم زي ال + +418 +00:30:24,570 --> 00:30:27,810 +vectors وبالتالي عشان أقدر أتعامل معاهم كرياضيات + +419 +00:30:27,810 --> 00:30:32,190 +وكحساب كل كمية من كمية هدول بدي أمثلهم ب vector + +420 +00:30:32,190 --> 00:30:37,020 +هذا ال vector بيسمونه phasor الـ vector اللي بيمثل + +421 +00:30:37,020 --> 00:30:41,240 +الكمية المترددة سموه phasor إيش هو ال phasor؟ + +422 +00:30:41,240 --> 00:30:46,160 +بتعرفوا بعدين إيش أستخدمه؟ it is a rotating vector + +423 +00:30:46,160 --> 00:30:50,000 +هو vector ويدور ضد عقارب + +424 +00:30:50,000 --> 00:30:50,520 +الساعة + +425 +00:30:53,300 --> 00:30:56,840 +بيمثل ال a c quantity و ال a c quantity عندي two + +426 +00:30:56,840 --> 00:31:00,740 +quantities ال current و الجهود ال current و الجهود + +427 +00:31:00,740 --> 00:31:04,840 +such that its length represents the maximum value + +428 +00:31:04,840 --> 00:31:08,340 +of the quantity and its projection onto the + +429 +00:31:08,340 --> 00:31:12,040 +vertical axis represents the instantaneous value + +430 +00:31:12,040 --> 00:31:18,720 +of the quantity خليني أرسمه إيش هو ال phaser؟ بأرسم + +431 +00:31:18,720 --> 00:31:25,860 +Y Axis و X Axis هذي ممكن يكون V وممكن يكون طيارة + +432 +00:31:25,860 --> 00:31:32,420 +بقول Vector بلف + +433 +00:31:32,420 --> 00:31:38,720 +ضد عقارب الساعة هي Omega طوله بمثل ال maximum + +434 +00:31:38,720 --> 00:31:46,500 +value أو مسقطه على ال Y Axis بمثل MI أو V اتفعى + +435 +00:31:46,500 --> 00:31:52,420 +عادي هذا ال bus قط وهو بيلف وبدله ثابت؟ لأ إذا + +436 +00:31:52,420 --> 00:31:56,980 +القيمة اللحظية بتتغير لو هذا كان على ال X axis كم + +437 +00:31:56,980 --> 00:32:00,980 +قيمة اللحظية؟ Zero لما هذا يكون على ال Y axis كم + +438 +00:32:00,980 --> 00:32:05,020 +قيمة؟ أكبر قيمة بيعود برجع Zero ولا برجع Zero؟ + +439 +00:32:05,020 --> 00:32:08,940 +بيعود برجع سالب إذا لو هذا بلف بعملي ال sine wave + +440 +00:32:08,940 --> 00:32:12,440 +ولا لأ؟ بعملي ال sine wave لكن بهذا الشكل بقدر + +441 +00:32:12,440 --> 00:32:15,200 +أتعامل معاه أسهل بصيط زي ال vector وبتعامل معاه ك + +442 +00:32:15,200 --> 00:32:18,360 +vector لما يكون عندي vector أو vector زي هيك بقدر + +443 +00:32:18,360 --> 00:32:22,210 +أجمعهم بيقى ليه ما أحط sin و cos؟ vector و vector من + +444 +00:32:22,210 --> 00:32:25,390 +نفس الاتجاه بيمحوا مع بعض، إذا أنا بتعامل من يوم + +445 +00:32:25,390 --> 00:32:31,010 +ما طالع مع الكميات المترددة بجدالة ال phasors و ال + +446 +00:32:31,010 --> 00:32:35,290 +phasor هو vector طوله بيمثل ال maximum value + +447 +00:32:35,290 --> 00:32:39,730 +للكمية ومسقطه على ال y-axis بيمثل القيمة اللحظية + +448 +00:32:39,730 --> 00:32:45,750 +للكمية وهو بدور ضد عقارب الساعة دعيني أشوف أول + +449 +00:32:45,750 --> 00:32:50,160 +مثال قبل ما نخش بتفاصيل الشرطة بيقول لي في عندي + +450 +00:32:50,160 --> 00:32:55,540 +microwave القدرة تبعته 900 واط ال microwave is + +451 +00:32:55,540 --> 00:32:59,860 +designed to operate في بلادنا 220 volt محطوط و + +452 +00:32:59,860 --> 00:33:02,820 +مصنع بيقول لي إيش بدك calculate its resistance + +453 +00:33:02,820 --> 00:33:07,440 +بيقول لك المقاومة اللي جوا إيش بتساوي and the peak + +454 +00:33:07,440 --> 00:33:10,780 +current when it is operating بدي تجيب جديش طيار + +455 +00:33:10,780 --> 00:33:14,440 +لما تحطه في الفيش لو حطيت أميتر جديش بقيت الطيار + +456 +00:33:14,440 --> 00:33:17,860 +بدي الطيار وبدي ال peak طبعًا أنا الأميتر بيجيب لي + +457 +00:33:17,860 --> 00:33:21,860 +ليه؟ الطيار RMS تمام؟ بدي أجيب ال peak بضربه + +458 +00:33:21,860 --> 00:33:25,780 +فيها زي تربيعي ل إثنين طبعًا هو إيش بعطيني؟ إيش 900 + +459 +00:33:25,780 --> 00:33:30,100 +watt هذي؟ power أنا بعرف إن ال power حكوا + +460 +00:33:30,100 --> 00:33:33,340 +القوانين يا شباب I تربيع على الأرض بس هم إيش + +461 +00:33:33,340 --> 00:33:44,220 +بيسميها؟ وبتساوي I في ال V وبتساوي V تربيع على ال R ال + +462 +00:33:44,220 --> 00:33:48,460 +R مالهاش علامات ال R مقدار ثابت هاي قوانينا إيش + +463 +00:33:48,460 --> 00:33:55,900 +بده هو بده R تمام I معطينيها مش معطينيها هنا + +464 +00:33:55,900 --> 00:33:59,260 +ماتعطيني ال V ولا مش ماتعطيني؟ ما تعطيني إذا أنا من + +465 +00:33:59,260 --> 00:34:06,040 +هذا القانون بقدر أقول R بتساوي VRMS على ال power + +466 +00:34:06,040 --> 00:34:09,800 +بتساوي + +467 +00:34:09,800 --> 00:34:19,040 +220 تربيع على ال power 900 بتطلع معايا سهلة إذا هي + +468 +00:34:19,040 --> 00:34:22,900 +ال R بعد كده بدي التيار بدي التيار بجيب هذا + +469 +00:34:22,900 --> 00:34:27,570 +القانون صحيح ولا لأ؟ حاجة تقوم بجيب لي ال I RMS عشان + +470 +00:34:27,570 --> 00:34:30,890 +أجيب ال peak بدله في جزاك 2 إذا في النهاية حاجة + +471 +00:34:30,890 --> 00:34:34,410 +سؤال أكتر سنة اللي أخدها واحد زيه في ال DC circuit + +472 +00:34:34,410 --> 00:34:37,570 +لما كنا عندنا heater إذا كنتم ذاكرين مرة كان في + +473 +00:34:37,570 --> 00:34:41,190 +عندي heater وكيف نجيب المقاومة تبعته في أحد ال + +474 +00:34:41,190 --> 00:34:46,830 +chapter خمسة أعتقد إلى الخامس تمام solution to find + +475 +00:34:46,830 --> 00:34:50,170 +the resistance we have ال R بيساوي V RMS تربيع + +476 +00:34:50,170 --> 00:34:54,750 +على ال power طلعناها طلعت حوالي 54 Ohm عشان أطلع + +477 +00:34:54,750 --> 00:34:59,010 +التيار جبت القانون ال power بيساوي ال I في ال V و + +478 +00:34:59,010 --> 00:35:04,330 +طلعته حوالي 4.1 أمبير وبالتالي ال I maximum طلعت + +479 +00:35:04,330 --> 00:35:08,210 +حوالي 5.8 أمبير هذه زي ما أنتم شايفين أسئلة مباشرة + +480 +00:35:08,210 --> 00:35:11,590 +على القوانين اللي بتعرفوها مجرد التيار والجهد + +481 +00:35:11,590 --> 00:35:17,770 +صاروا RMS مش أكثر بتعامل معاه تمام الآن بدنا نخش + +482 +00:35:17,770 --> 00:35:21,210 +على الدوائر نشوف الدوائر إيش بيصير فيها يا شباب + +483 +00:35:21,210 --> 00:35:26,190 +أول دائرة بيقول لي أحط مصدر للتيار المتردد بيحط + +484 +00:35:26,190 --> 00:35:31,310 +مقاومة وشوف لي العلاقة بين جهد المقاومة وتيار + +485 +00:35:31,310 --> 00:35:35,490 +المقاومة جهد المقاومة وتيار المقاومة resistors in + +486 +00:35:35,490 --> 00:35:39,650 +AC circuit هي اللي أنا هي عندي دائرة الآن هاد + +487 +00:35:39,650 --> 00:35:47,430 +إيش بطارية؟ مش بطارية إيش بطلع؟ alternating voltage + +488 +00:35:47,430 --> 00:35:51,690 +بكتب V بيساوي maximum sine omega T V بيساوي maximum + +489 +00:35:51,690 --> 00:35:55,070 +sine omega T بيقول يطلع لي التيار اللي بيمر في + +490 +00:35:55,070 --> 00:35:58,870 +المقاومة ويجب لي فرق الجهد بين طرفي المقاومة من + +491 +00:35:58,870 --> 00:36:00,830 +يقول لي قد ايش فرق الجهد بين طرفي المقاومة + +492 +00:36:03,410 --> 00:36:07,950 +هو نفسه اللي تحت ولا لا؟ نفسه وهاد شغلة معروفة + +493 +00:36:07,950 --> 00:36:12,050 +نقول let Vr be the voltage of some instant across + +494 +00:36:12,050 --> 00:36:16,510 +the resistor Vr هو جهد المقاومة this voltage must + +495 +00:36:16,510 --> 00:36:20,130 +equal to the voltage of the E source هذا هو هاي Vr + +496 +00:36:20,130 --> 00:36:23,590 +هذا فرق الجهد بين طرفي المقاومة قال يجيب التيار + +497 +00:36:23,590 --> 00:36:27,150 +كيف بتجيب التيار؟ قانون إيش اللي بيجيب التيار؟ قانون + +498 +00:36:27,150 --> 00:36:33,200 +Ohm قانون Ohm The current passing through the + +499 +00:36:33,200 --> 00:36:41,780 +resistor is I V على R R هي ال V أولها وقلت هي دي + +500 +00:36:41,780 --> 00:36:47,720 +حسب قانون أوم بتساوي I I بتساوي I maximum sine + +501 +00:36:47,720 --> 00:36:54,790 +Omega T دمي ده اللي قارن هي جهود وهي تيار الجهد + +502 +00:36:54,790 --> 00:37:02,670 +ثابت sin ωt التيار ثابت sin ωt أنت بتساوي صفر قد ايش + +503 +00:37:02,670 --> 00:37:09,510 +ال V أنت بتساوي صفر قد ايش ال V وقد ايش ال I صفر طيب + +504 +00:37:09,510 --> 00:37:12,590 +عند الزمن اللي بيكون V بيساوي V maximum التيار إيش + +505 +00:37:12,590 --> 00:37:16,230 +بيكون برضه maximum مظبوط ولا لأ؟ إذا إيش معناته + +506 +00:37:16,230 --> 00:37:19,050 +بيقول هدول ماشيين مع بعض لما واحد منهم يكون + +507 +00:37:19,050 --> 00:37:20,930 +maximum والثاني maximum لما واحد يكون minimum + +508 +00:37:20,930 --> 00:37:23,430 +والثاني يكون minimum بمعنى آخر ممكن تجمعهم جمعة + +509 +00:37:23,430 --> 00:37:26,910 +عادي وكانوا two vectors في نفس الاتجاه شباب تمام؟ + +510 +00:37:26,910 --> 00:37:30,470 +في هذه الحالة بسميهم التاني مع بعض in phase لهم + +511 +00:37:30,470 --> 00:37:38,410 +نفس طور in phase لأنهم بيصلوا وبينتهوا مع بعض as + +512 +00:37:38,410 --> 00:37:43,330 +it is clear هاي القاعدة تبعتنا بيقول the current I + +513 +00:37:43,330 --> 00:37:47,610 +and the voltage V across a resistors in a pure + +514 +00:37:47,610 --> 00:37:51,550 +resistive AC circuit are in phase في دوائر اللي + +515 +00:37:51,550 --> 00:37:55,950 +فيها فقط مقاومة بيكون التيار والجهود ماشيين مع بعض + +516 +00:37:55,950 --> 00:38:03,150 +in phase لو بدي أرسمهم هاي هذا الجهد الأحمر لو بدأت + +517 +00:38:03,150 --> 00:38:07,910 +أرسم التيار بلون مختلف أزرق المفروض أبدأ من هنا + +518 +00:38:07,910 --> 00:38:13,730 +لما يكون maximum يكون maximum بيكون هيك واحدة + +519 +00:38:13,730 --> 00:38:17,230 +بتمثل الجهد واحدة بتمثل التيار من أكبر التيار + +520 +00:38:17,230 --> 00:38:20,410 +والجهد؟ ممكن أشتراك برنامجك؟ ممكن أشتراك برنامجك؟ + +521 +00:38:20,410 --> 00:38:21,670 +ممكن أشتراك برنامجك؟ ممكن أشتراك برنامجك؟ ممكن أشتراك + +522 +00:38:21,670 --> 00:38:21,770 +برنامجك؟ ممكن أشتراك برنامجك؟ ممكن أشتراك برنامجك؟ + +523 +00:38:21,770 --> 00:38:25,170 +ممكن أشتراك برنامجك؟ ممكن أشتراك برنامجك؟ ممكن أشتراك + +524 +00:38:25,170 --> 00:38:31,440 +برنامجك؟ ممكن عشرة volt وهذا إثنين امبير مظبوط ولا + +525 +00:38:31,440 --> 00:38:36,620 +لا تفرجش تمام خلينا نرسمها ك فيزر هذه حلوة بس + +526 +00:38:36,620 --> 00:38:41,020 +بتغلب في التعامل معها قالوا هيك نرسمها هاي ال volt + +527 +00:38:42,250 --> 00:38:47,370 +Vector بدور ضد عقارب الساعة هذه V maximum الطول + +528 +00:38:47,370 --> 00:38:53,390 +هذه VR المسكين كيف بدنا نرسم التيار بنفس الاتجاه + +529 +00:38:53,390 --> 00:38:58,450 +فبدنا نرسمه هيك ببدأ من هنا وماشي هذين المسكين إذا + +530 +00:38:58,450 --> 00:39:01,490 +بقعدوا ماشين لما واحد يكون maximum الثاني بيكون + +531 +00:39:01,490 --> 00:39:04,250 +معه maximum لما واحد يكون zero الثاني بيكون zero + +532 +00:39:04,250 --> 00:39:08,020 +معه وهكذا هيك يُرسم مكافئة زاز بيصير التعامل + +533 +00:39:08,020 --> 00:39:10,960 +معاهم سهل ال two vectors are in the same direction + +534 +00:39:10,960 --> 00:39:14,780 +وبالتالي الجمع بيكون عادي غير لما يكون واحد + +535 +00:39:14,780 --> 00:39:20,200 +بينهم زاوية بتتعامل معاهم بطريقة مختلفة إذا + +536 +00:39:20,200 --> 00:39:23,780 +المعلومة الأولى اللي جمعناها أنه لما يكون في عندكم + +537 +00:39:23,780 --> 00:39:28,860 +شباب resistor بيكون التيار والجهد in phase التيار + +538 +00:39:28,860 --> 00:39:34,720 +والجهد in phase نيجي نشوف لو كان في عندك inductor أخدت + +539 +00:39:34,720 --> 00:39:42,690 +ال inductor ماذا هو الاندكتر؟ الملف ما هو الملف؟ + +540 +00:39:42,690 --> 00:39:43,590 +ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ + +541 +00:39:43,590 --> 00:39:44,350 +ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ + +542 +00:39:44,350 --> 00:39:44,870 +ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ + +543 +00:39:44,870 --> 00:39:45,350 +ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ + +544 +00:39:45,350 --> 00:39:45,410 +ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ + +545 +00:39:45,410 --> 00:39:48,810 +ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ ما هو الملف؟ + +546 +00:39:48,810 --> 00:39:56,850 +ما هو الملف؟ ما هو الملف؟ + +547 +00:39:56,850 --> 00:40:03,120 +ما هذا هو القانون اللي بربط فرق الجهد مع التيار + +548 +00:40:03,120 --> 00:40:09,260 +بالنسبة للكباسيتر ال V تبع الكباسيتر بيساوي Q على + +549 +00:40:09,260 --> 00:40:15,820 +C طبعًا بالنسبة لمقاومة VR بيساوي I في R هدول التلات + +550 +00:40:15,820 --> 00:40:21,360 +عناصر اللي أنا بستخدمهم نيجي لهان عشان أجيب التيار + +551 +00:40:21,360 --> 00:40:26,120 +بقول فولت كامل هذول مظبوط؟ عشان أدي بالتيار بيقول + +552 +00:40:26,120 --> 00:40:30,360 +الكامل هذه طيب الملف كيف إيش أخدنا عنه معلومات + +553 +00:40:30,360 --> 00:40:33,300 +أنتي بيساوي صفر كيف بيشتغل أو أنتي بيساوي ما لا + +554 +00:40:33,300 --> 00:40:39,360 +نهاية كيف بيشتغل؟ الملف أو + +555 +00:40:39,360 --> 00:40:43,360 +بال.. وأنتم بيساوي ما لا نهاية يعني بيصيب silic + +556 +00:40:43,360 --> 00:40:45,660 +عادي ولا لأ؟ طيب لما يقول short circuit كده + +557 +00:40:45,660 --> 00:40:52,330 +مقاومته؟ zero مقاومته zero طيب ال capacitor؟ العكس + +558 +00:40:52,330 --> 00:40:55,350 +لما يقول open circuit يعني إن جدش المقاومة بتكون لل + +559 +00:40:55,350 --> 00:40:59,270 +open circuit infinity مظبوطة للغاية خلينا نجرب إيش + +560 +00:40:59,270 --> 00:41:03,550 +بتصير معانا ونعمل مقارنة بيقول لي هاي دائرتك هاي + +561 +00:41:03,550 --> 00:41:07,810 +ملف اتفقنا احنا وإياكم الملف بيشتغلش إلا عن تسكير + +562 +00:41:07,810 --> 00:41:11,210 +وفتح الدائرة وقلنا هذا في دوائر التيار المترددة + +563 +00:41:11,210 --> 00:41:14,890 +وقلنا في التيار المترددة لكن مستمر في دوائر + +564 +00:41:14,890 --> 00:41:19,790 +التيار المترددة بيشتغل على طول لأن أنا شغله طول + +565 +00:41:19,790 --> 00:41:22,890 +ما فيه تغير في ال flux وما زال التيار مترددة لأن + +566 +00:41:22,890 --> 00:41:25,910 +ال flux متغير لأن ال magnetic field is changeable + +567 +00:41:25,910 --> 00:41:31,560 +تمام بيقول كمان مرة فرق الجهد بين طرفي ال inductor + +568 +00:41:31,560 --> 00:41:35,340 +بيسوي نفسه فرق الجهد بين طرفي ال source هذه قاعدة + +569 +00:41:35,340 --> 00:41:39,940 +معروفة بيقول VL بيساوي V maximum sine Omega T بيقول + +570 +00:41:39,940 --> 00:41:43,880 +خلينا دي بالتيارة الآن let find the current + +571 +00:41:43,880 --> 00:41:48,580 +passing through the inductor هي القانون تبعي VL + +572 +00:41:48,580 --> 00:41:52,880 +بيسوي سال + +601 +00:44:13,800 --> 00:44:18,640 +cosine طلعناها هكذا إذا التيار طلع بهذه الصيغة قال + +602 +00:44:18,640 --> 00:44:19,440 +لي ميجي ليها دي + +603 +00:44:23,180 --> 00:44:30,320 +هذه أوميجا وهذه L الهنري ألف + +604 +00:44:30,320 --> 00:44:36,280 +أوميجا هنري وهذه XL هنري ماذا يعني؟ Volt + +605 +00:44:36,280 --> 00:44:39,680 +XL + +606 +00:44:39,680 --> 00:44:47,440 +على أمبير هذه لم يذهب أحد ثم Volt على أمبير وطلعت + +607 +00:44:47,440 --> 00:44:57,710 +O إذا هذه الكمية Oوفورت على اوم طيّر صح طب هذه اوم + +608 +00:44:57,710 --> 00:45:02,170 +الكمية الفيزيائية اللي وحدتها اوم أنا مش بعرفها + +609 +00:45:02,170 --> 00:45:06,970 +مقاومة طب علماء جوا حطوا مقاومة وفوق قالوا ايه + +610 +00:45:06,970 --> 00:45:14,010 +المقاومة عرفت كل العالم مرتبطة بها الرمزصح هذا ملف + +611 +00:45:14,010 --> 00:45:17,630 +كبدي أعمله مقاومة لكن في النهاية فيزيائيًا هي + +612 +00:45:17,630 --> 00:45:21,910 +مقاومة لأن واحد اتحقه جاله عشان ما تغلبش حالنا + +613 +00:45:21,910 --> 00:45:25,950 +نرجع للمعنى العربي ايش الفرق بين ممانعة ومقاومة + +614 +00:45:25,950 --> 00:45:30,770 +لغويا و ليش في النهاية جاله قالاش يسميها مقاومة + +615 +00:45:30,770 --> 00:45:35,490 +سموها ممانعة تمام لكن المعنى اللغوي واحد هذا + +616 +00:45:35,490 --> 00:45:41,490 +بقاوم هذا بمانع أو ثاني بقاوم فسموا أوميجا في ال + +617 +00:45:41,490 --> 00:45:48,890 +ممانعة reactive تمام؟ إذا ما رضوش يسموها مقاومة عشان + +618 +00:45:48,890 --> 00:45:51,870 +ما يصليش في misunderstanding و confusion بين + +619 +00:45:51,870 --> 00:45:55,550 +المصطلحات العلمية قالوا خلاص زي ما سمينا ال + +620 +00:45:55,550 --> 00:45:58,530 +permeability و ال permittivity واحدة لكن عشان + +621 +00:45:58,530 --> 00:46:03,190 +يميزوا بينهم إذا جاله Imaximum هادي بيساوي Vmaximum + +622 +00:46:03,190 --> 00:46:08,010 +وما سموهاش R أعطوها رمز X طبعا حطوا X للـ L + +623 +00:46:08,010 --> 00:46:12,810 +لأنه حيكون عندي X للـ C كمان لكبسطر XL الشياء XL + +624 +00:46:12,810 --> 00:46:17,330 +بيساوي Omega في L إذا هادي الشياء شباب مقاومة + +625 +00:46:17,330 --> 00:46:23,570 +inductive reactance reactance الممانعة الحثية كلمة + +626 +00:46:23,570 --> 00:46:27,550 +ممانعة ومقاومة واحدة بدنا نصل لشغل معينة نرجع + +627 +00:46:27,550 --> 00:46:31,680 +لدوائر التيار المستمر أنا لما أكون مسكت دائرتي اللي + +628 +00:46:31,680 --> 00:46:37,560 +كنت راسمها توي هي هيك وهي مصدر وماشي هيك وبقول لي + +629 +00:46:37,560 --> 00:46:42,660 +اشتغل بعد منا كام دقيقة ايش بتعتبر الزمن قال إلى + +630 +00:46:42,660 --> 00:46:45,600 +السفر ولا إلى المنه نهاية إلى المنه نهاية الاصل + +631 +00:46:45,600 --> 00:46:52,590 +ايه كيفش الملف يشتغل جديش مقاومته Zero يعني ممانعته + +632 +00:46:52,590 --> 00:46:56,130 +المفروض يكون Zero طب هدف دوائر التيار المستمر اللي + +633 +00:46:56,130 --> 00:46:59,410 +بتحكيه طب في دوائر التيار المستمر كيف التيار + +634 +00:46:59,410 --> 00:47:02,910 +المتردد بيخلي أنا مستمر ايش أسوي؟ ايش أخلي أوميجا + +635 +00:47:02,910 --> 00:47:07,350 +تبعته؟ Zero لو أوميجا سوى Zero قداش XL في ال + +636 +00:47:07,350 --> 00:47:12,660 +Zero، برجع تيار مستمر إذا هذه المعلوم ما بتتناقضش + +637 +00:47:12,660 --> 00:47:16,700 +مع معلومة تحت التيار المستمر انه بعد زمن طويل + +638 +00:47:16,700 --> 00:47:21,760 +الملف ما لوش مقاومة اللي ممانعة فقط في دوائر التيار + +639 +00:47:21,760 --> 00:47:25,120 +المتعدد لكن ممانعته في دوائر التيار المستمر مش + +640 +00:47:25,120 --> 00:47:30,560 +موجودة وإجت الممانعة نتيجة عمل ال Inductor نتيجة + +641 +00:47:30,560 --> 00:47:35,040 +التغير اللي بيصير بالفكس لكن لما يثبت ال flux و + +642 +00:47:35,040 --> 00:47:38,720 +يثبت المجال المغناطيسي بيبطل الملافق له أي ممانعة + +643 +00:47:38,720 --> 00:47:44,000 +عشان كده أميجا لما تكون Zero XL في دوائر التيار + +644 +00:47:44,000 --> 00:47:47,520 +المستمر مش موجودة موجودة فقط في دوائر التيار + +645 +00:47:47,520 --> 00:47:50,760 +المتردد لما تكون أوميجا أيها قيمة لكن لما تكون + +646 +00:47:50,760 --> 00:47:54,640 +الأوميجا بتساوي Zero خلاص برجع انه Coil عادي و + +647 +00:47:54,640 --> 00:47:59,630 +ما لوش أي عمل و بيضلوا عادي ما فيش أي مشكلة فعندما + +648 +00:47:59,630 --> 00:48:06,350 +نقارن ال V بتساوي Vmaximum Sin Omega T ال I + +649 +00:48:06,350 --> 00:48:12,370 +بتساوي Imaximum Sin (Omega T - 90°) هذا هما + +650 +00:48:12,370 --> 00:48:17,930 +ايش معناته؟ بيقول التيار بيختلف عن الجهد بـ 90 درجة + +651 +00:48:17,930 --> 00:48:23,130 +وعشان السالب بيقول التيار بيتأخر عن الجهد بـ 90 + +652 +00:48:23,130 --> 00:48:29,290 +درجة التيار the current lags behind legs يعني + +653 +00:48:29,290 --> 00:48:34,590 +تأخر lags behind the voltage across an inductor + +654 +00:48:34,590 --> 00:48:38,030 +in a pure inductive AC circuit by 90 degree اللي + +655 +00:48:38,030 --> 00:48:42,030 +هي by 90° اذا في دوائر التيار المتردد اللي فيها + +656 +00:48:42,030 --> 00:48:47,030 +فقط inductor بيكون دائما التيار متأخر عن الجهد + +657 +00:48:47,030 --> 00:48:51,450 +بتسعين درجة لو يجيب دا عصوم هو ناصم بقول هاي الجهد + +658 +00:48:52,500 --> 00:48:55,660 +حاجات الطيار هذي لما يكون Zero وهذا متأخر لأنه لسه + +659 +00:48:55,660 --> 00:48:59,460 +مش واصل هذي لما يكون maximum هذي لسه Zero وهكذا + +660 +00:48:59,460 --> 00:49:04,660 +أحلى رسمة ال phasers لو نريد أن نرسم ال phasers هي + +661 +00:49:04,660 --> 00:49:09,680 +ال V كيف نرسم الطيار لأنه متأخر بديه يتأخر 90 درجة + +662 +00:49:12,660 --> 00:49:17,780 +طبعا واضح لما يكون هذا Zero هذا اين بيكون بيكون هذا + +663 +00:49:17,780 --> 00:49:20,680 +maximum بس سالب لما يكون هذا maximum مهما ده ايش + +664 +00:49:20,680 --> 00:49:24,140 +بيكون Zero لإن لما يكون هذا هنا هذا بساله هنا و + +665 +00:49:24,140 --> 00:49:29,620 +هكذا إذا هذه الرسمة بتوضح ان الجهد الأحمر متقدم عن + +666 +00:49:29,620 --> 00:49:34,000 +التيار أو التيار متأخر عن الجهد والزاوية 90 درجة + +667 +00:49:34,000 --> 00:49:38,840 +هذا فقط لما يكون فيه inductor only inductor only + +668 +00:49:38,840 --> 00:49:39,680 +تمام + +669 +00:49:42,150 --> 00:49:47,990 +نشوف الكاباسيتر ايش بيصير فيه هاي + +670 +00:49:47,990 --> 00:49:51,810 +الكاباسيتر حطيت كاباسيتر طبعا خلينا نشوف + +671 +00:49:51,810 --> 00:49:55,410 +الكاباسيتر ايش بيسوي شباب هو الاصل أنا لما أحط + +672 +00:49:55,410 --> 00:49:59,710 +كاباسيتر مع بطارية الاصل ان الكاباسيتر بيشحن صح + +673 +00:49:59,710 --> 00:50:04,930 +ولا لأ خلاص بينتلي ايش بيصير في التيار بيجفليه + +674 +00:50:04,930 --> 00:50:09,030 +يشحنه مجيف؟ لأنه صار جهد المكثف يسوي جهد البطارية + +675 +00:50:09,030 --> 00:50:13,430 +وقلت عن المكثف انتلة ولما أقول انتلة معناته ما فيش + +676 +00:50:13,430 --> 00:50:15,870 +مجال للشحنات تتحرك من البطارية و تروح على + +677 +00:50:15,870 --> 00:50:19,810 +الكباسيتار ولما تتوقف حركة الشحنات في تيار ما فيش + +678 +00:50:19,810 --> 00:50:22,830 +تيار عشان كده سميته open circuit في ديائر التيار + +679 +00:50:22,830 --> 00:50:25,670 +المطرد دي المشكلة ايش؟ إنه أنا بملي بعدين بروح + +680 +00:50:25,670 --> 00:50:29,510 +بعكس بروح بفضي بعدين بروح بملي بعدين بروح بفضي + +681 +00:50:29,510 --> 00:50:34,510 +فبظل رايح جاي تيار بيجفشليش؟ لأنه هو هذا .. لما + +682 +00:50:34,510 --> 00:50:36,890 +كان هذا positive negative هذا صار positive negative + +683 +00:50:36,890 --> 00:50:39,830 +لما انضلق .. بيبقى يفضل .. بيبقى عايز يصير + +684 +00:50:39,830 --> 00:50:42,130 +negative positive .. بيبقى عاوز بينقلب .. فبيبقى + +685 +00:50:42,130 --> 00:50:44,970 +ليهش .. لإن هو بيقلب جاعد .. هذا بيقلب مش زي + +686 +00:50:44,970 --> 00:50:48,750 +البطارية عنده قطب بيبقوا مقبوط بهذه .. قطب موجب + +687 +00:50:48,750 --> 00:50:51,870 +دائما .. فبيصير هذه موجب وهذه سالب .. لكن هنا لا + +688 +00:50:51,870 --> 00:50:55,110 +.. هذه مرة بيكون مرتبط مع قطب موجب ومرة مع قطب + +689 +00:50:55,110 --> 00:50:58,350 +سالب .. فبيبقى رايحة جاي الشحنات بين طرفين ال + +690 +00:50:58,350 --> 00:51:00,990 +capacitor .. وبالتالي لو في عندك هنا ال meter + +691 +00:51:03,870 --> 00:51:06,690 +بيهمدش بيجافش ليش؟ لإن هاد ايش كي بيشتغل بيقول + +692 +00:51:06,690 --> 00:51:10,100 +طول ما الشحنات بتتحرك أنا بيده أتحرك مظبوط ولا لأ؟ + +693 +00:51:10,100 --> 00:51:12,400 +طول ما الشحنات بتتحرك ما انتوا في تيار وأنا بجيص + +694 +00:51:12,400 --> 00:51:17,220 +تيار طب هذه الشحنات انتلت عودت رجعت عودت راحت عودت + +695 +00:51:17,220 --> 00:51:20,220 +رجعت في النهاية في حركة بس خليني أقول Germanometer + +696 +00:51:20,220 --> 00:51:22,240 +مرة بأعمل هيك ومرة بأعمل هيك مرة بأعمل هيك ومرة + +697 +00:51:22,240 --> 00:51:25,880 +بأعمل هيك إذا في حركة دائمة تما ما ما فيش إمكانية + +698 +00:51:25,880 --> 00:51:29,360 +يكون في open circuit نوي أن يكون open circuit زي + +699 +00:51:29,360 --> 00:51:32,740 +الـ DC circuit نقول بعد زمن معين صار في عندي open + +700 +00:51:32,740 --> 00:51:36,020 +circuit لأنه وجي في الطيار والطيار لا يقف إلا في + +701 +00:51:36,020 --> 00:51:39,580 +ال open circuit خليني أشوف ايش بيوصل معاناو يشوف + +702 +00:51:39,580 --> 00:51:46,080 +المقارنة مع الـ DC circuit بقول كمان مرة فرق الجهد + +703 +00:51:46,080 --> 00:51:49,500 +بين طرفي المكثف بنتفق انه بيساوي فرق الجهد بين + +704 +00:51:49,500 --> 00:51:52,800 +طرفي ال source ولا لأ؟ إذا فرق الجهد بين طرفي + +705 +00:51:52,800 --> 00:51:56,560 +الكباسيتر بيساوي Vmaximum sine Omega T بدي أجيب + +706 +00:51:56,560 --> 00:52:00,180 +التيار الآن أنا بدي احج ال Ammeter و بدي اجيسه + +707 +00:52:00,180 --> 00:52:03,400 +ايه بيجيب التيار؟ قال لي لو جبت الشحنات على + +708 +00:52:03,400 --> 00:52:08,280 +الكباسيتر بتقدر تجيب التيار؟ بفاضل لأن I بيساوي DQ + +709 +00:52:08,280 --> 00:52:12,060 +على DT بقوله to find the current passing through + +710 +00:52:12,060 --> 00:52:16,280 +the capacitor we have بديه بأول Q Q بيساوي C في V + +711 +00:52:16,280 --> 00:52:21,140 +و I بيساوي DQ على DT I بيساوي DQ على DT إذا I + +712 +00:52:21,140 --> 00:52:27,480 +بيساوي DQ على DT C ثابتة DVC على DT هي VC الآن بدي + +713 +00:52:27,480 --> 00:52:32,070 +أفاضل الشباب ايش تفاضل ال sine؟ كوساين تطلع أوميجا و + +714 +00:52:32,070 --> 00:52:36,150 +لا تطلع أوميجا تطلع أوميجا V هذه ال C وهي V + +715 +00:52:36,150 --> 00:52:39,770 +maximum وهي أوميجا وهي كوساين أوميجا T إذا هذي ال + +716 +00:52:39,770 --> 00:52:43,030 +sine وهذه ال كوساين إذا مش مع بعض برضه لكن ايش + +717 +00:52:43,030 --> 00:52:46,190 +المشكلة هناك كانت في سالب هنا في موجب فالموجب بيصير + +718 +00:52:46,190 --> 00:52:51,610 +كوساين (Omega T + 90°) بيعتنين بيصير زائد + +719 +00:52:51,610 --> 00:52:58,270 +90° المشكلة هنا شباب قبل ما نحول على sine هذه V + +720 +00:52:58,270 --> 00:53:03,190 +maximum و C و Omega وهذه تيار هذه لازم تكون + +721 +00:53:03,190 --> 00:53:07,670 +وحدتها أمبير لازم تكون وحدتها أمبير لأن الكوساين + +722 +00:53:07,670 --> 00:53:11,450 +ليش إلا واحدة Omega في T طب نرجع أحطها Vmaximum + +723 +00:53:11,450 --> 00:53:17,350 +مضروبة في C وفي Omega هذه بقول لازم تكون وحدتها + +724 +00:53:17,350 --> 00:53:21,350 +أمبير طب هذه ليش وحدتها إذا هذه لازم تكون وحدتها + +725 +00:53:21,350 --> 00:53:28,850 +1/أوم عشان 1/أوم + +726 +00:53:28,850 --> 00:53:34,190 +عشان يصير Volt على ام هي الامبير 1/أوم إذا + +727 +00:53:34,190 --> 00:53:41,050 +هذه 1/أوم إذا لازم يكون في عندي 1/C + +728 +00:53:41,050 --> 00:53:46,650 +Omega بتساوي مقاومة لازم تساوي مقاومة 1/C + +729 +00:53:46,650 --> 00:53:51,600 +Omega لان أوم مقاومة جاي بيرجع كمان مرة المقاومة هذه + +730 +00:53:51,600 --> 00:53:57,280 +R جاية من الرمز هذا شفتك رمز غيره اتفقنا على ال X + +731 +00:53:57,280 --> 00:54:03,440 +فجاله خليها X فبهديك XL جالك خليها XC برضه كمان + +732 +00:54:03,440 --> 00:54:07,370 +مرة جاله ما سميها Resistance سميها Reactance سميها + +733 +00:54:07,370 --> 00:54:12,570 +ممانعة نرجع مقارنة بالـ DC circuit بقى نقول open + +734 +00:54:12,570 --> 00:54:15,850 +circuit open circuit مقاومة تدوى جديش جاليزميرتو + +735 +00:54:15,850 --> 00:54:19,570 +ما لا نهاية لما هدي ال C صفر في الـ DC circuit جديش + +736 +00:54:19,570 --> 00:54:24,360 +المقاومة بصي ما لا نهاية إذا في الـ DC circuit مقاومة + +737 +00:54:24,360 --> 00:54:28,360 +الكاباسيتر بتساوي ما لا نهاية عشان كده بيقول التيار + +738 +00:54:28,360 --> 00:54:32,880 +لا يمر بيصير open circuit والتيار بيمر في مقاومة + +739 +00:54:32,880 --> 00:54:37,440 +مقاومة ما لا نهاية لأ إذا برضه في consistent في + +740 +00:54:37,440 --> 00:54:40,320 +توافق ما بين الـ DC circuits اللي أخدناها في + +741 +00:54:40,320 --> 00:54:43,740 +الشباتير الماضية والـ AC circuit اللي بناخدها الآن + +742 +00:54:43,740 --> 00:54:47,560 +اللي انطبق على الـ DC circuit قديما لينطبق الآن + +743 +00:54:47,750 --> 00:54:50,670 +حكاية ان الكباسيتر يكت از a short circuit او open + +744 +00:54:50,670 --> 00:54:54,090 +circuit وكذلك الملاف لا ينطبق على AC circuit شباب + +745 +00:54:54,090 --> 00:55:01,070 +فقط هذيك خاصة بالـ DC circuits بس .. وبالتالي اتفقنا + +746 +00:55:01,070 --> 00:55:04,630 +انه using the identity بتحول ال cosine الآن لـ sine + +747 +00:55:04,630 --> 00:55:08,490 +فصارت عندي ال I بتساوي ال sine (Omega T + 90°) + +748 +00:55:08,490 --> 00:55:12,660 +الآن الطيارة بتأخر ولا بتقدم؟ بتقدم لأن فيه زائد + +749 +00:55:12,660 --> 00:55:16,860 +فبساوي طبعا ال Imaximum بيساوي Vmaximum على XC + +750 +00:55:16,860 --> 00:55:19,940 +وال XC زي ما حكينا انه هذه لما تصير صفر هتصير + +751 +00:55:19,940 --> 00:55:23,860 +ما لا نهاية وهذا متفقين مع بعض is called the capacitive + +752 +00:55:23,860 --> 00:55:27,200 +reactance هديك inductive reactance وهدي ال + +753 +00:55:27,200 --> 00:55:30,740 +capacitive reactance لما أجي أرسم أو خليني أحط + +754 +00:55:30,740 --> 00:55:36,440 +الملاحظة التالتة بيقول اللي the current I مش lags، + +755 +00:55:36,440 --> 00:55:43,140 +leads، يتقدم the voltage by 90 درجة، إذن الآن + +756 +00:55:43,140 --> 00:55:48,960 +التيار بتقدم طبعا هنا بدي أرسم فصار التيار الأزرق + +757 +00:55:48,960 --> 00:55:54,940 +بتقدم على الأحمر هذا Zero هذا فوق هذا maximum هذا + +758 +00:55:54,940 --> 00:55:58,660 +بيكون Zero وهكذا وطبعا هنا زي ما أنتو شايفين + +759 +00:55:58,660 --> 00:56:03,440 +انه التيار بتقدم على الجهد بتسعين درجة هذا لما + +760 +00:56:03,440 --> 00:56:07,200 +يكون Zero هذا بيكون maximum وهذه الزاوية تسعين + +761 +00:56:07,200 --> 00:56:13,530 +درجة تمام الآن مقاومة لحالها الطيار والجهد مع بعض + +762 +00:56:13,530 --> 00:56:19,290 +Inductor لحالها الطيار بتأخر 90 درجة كبسطا لحالها + +763 +00:56:19,290 --> 00:56:24,330 +الطيار بيتقدم 90 درجة المرة الجاية ايه بنا نسوي + +764 +00:56:24,330 --> 00:56:28,110 +بنا + +765 +00:56:28,110 --> 00:56:32,160 +ناخد التلاتة هدول مع بعض هل جيت التلاتة هدول؟ كيف + +766 +00:56:32,160 --> 00:56:35,980 +بتتعامل معهم؟ اتطلعوا شباب الاصل لو واحد هو مغمض + +767 +00:56:35,980 --> 00:56:38,820 +وما عندهش معلومات كتيرة يقول هدول كيف متصنين + +768 +00:56:38,820 --> 00:56:41,100 +التلاتة؟ خليهم متلاكم القوامات مش متصنين على + +769 +00:56:41,100 --> 00:56:44,810 +التوالى الـ Requivalent في التوالي مش R واحد زي R + +770 +00:56:44,810 --> 0 \ No newline at end of file diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/GHGUFViKTzs_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/GHGUFViKTzs_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..33362636c49b8cedc0a24154671f7d75a2e09bcc --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/GHGUFViKTzs_postprocess.srt @@ -0,0 +1,3188 @@ +1 +00:00:00,000 --> 00:00:02,700 +موسيقى + +2 +00:00:10,510 --> 00:00:14,970 +تمام انسمي باسم الله الرحمن الرحيم و chapter 11 هو + +3 +00:00:14,970 --> 00:00:19,390 +ال chapter الأخير في المادة بعنوان alternating + +4 +00:00:19,390 --> 00:00:24,950 +current circuits او ال EC circuits شباب زى ما + +5 +00:00:24,950 --> 00:00:28,410 +تشوفين احنا بنحاول نجيب من الأسئلة اللى بنطلبها في + +6 +00:00:28,410 --> 00:00:32,010 +الامتحانات لازم الطالب يكون حاول الأسئلةعشان تكون + +7 +00:00:32,010 --> 00:00:34,410 +الأمور سهلة يعني الامتحان التاني في الامتحان هو + +8 +00:00:34,410 --> 00:00:39,530 +أحد أسلة الكتاب وطبعا في سؤال الامبيرز هو مثال أو + +9 +00:00:39,530 --> 00:00:42,910 +يزق من مثال فبالتالي لما يحل أنت أسلة الكتاب + +10 +00:00:42,910 --> 00:00:48,490 +بالقفرة بتكون أنت سفدت كتير وغطيت كل المفاهيم اللي + +11 +00:00:48,490 --> 00:00:52,630 +موجودة فبنحاول ما أمكن نجيب لنا سؤال منطقي مايكونش + +12 +00:00:52,630 --> 00:00:56,630 +هو أصعب من ضمن الأسئلة اللي تنتقى هذه أسئلة في + +13 +00:00:56,630 --> 00:01:00,050 +كتابها أسئلة سهلة جدافي من أكم سؤال بتلاقوه شوية + +14 +00:01:00,050 --> 00:01:04,870 +صعبين لكن في النهاية الأفكار انت بتاخدها فبالتالي + +15 +00:01:04,870 --> 00:01:11,750 +الأسئلة هي موطن لأسئلة انتحار بتكون موجودة تمام + +16 +00:01:12,900 --> 00:01:17,660 +Alternating Current Sources احنا بنعرف الشباتير + +17 +00:01:17,660 --> 00:01:22,640 +كلها اللي ماضية كان التيار اللي بناخده هو تيار + +18 +00:01:22,640 --> 00:01:28,420 +المستمر وكان مصدره يرمز له بالرمز هذا اول ما شوفها + +19 +00:01:28,420 --> 00:01:32,480 +نقول هذا رمز ايش؟ ايه البطل؟ ايش بيعطيني؟ طيار + +20 +00:01:32,480 --> 00:01:35,900 +قيمة واحدة نقول والله التيار خمس أنبال نكتب عليه + +21 +00:01:35,900 --> 00:01:40,240 +خمس أنبال مافيش اي اشكالية وهذا تيار مستمر قيمته + +22 +00:01:40,240 --> 00:01:46,950 +ثابتةبنشوف الطيار المتردد ليه صار متردد فبنشوف + +23 +00:01:46,950 --> 00:01:51,470 +alternating current sources ايش هو المصدر اللي + +24 +00:01:51,470 --> 00:01:55,430 +بيخلي الطيار يطلع عندي متردد طبعا هذا هو الجهاز + +25 +00:01:55,430 --> 00:02:00,170 +اللي بيولدلي الطيار المتردد او هذا هو فكرة عمل اي + +26 +00:02:00,170 --> 00:02:03,030 +generator مطور الكهربا اللي عندكم في الظهر هي فكرة + +27 +00:02:03,030 --> 00:02:08,110 +عمله الدينامو تبعي البسكليت في حد يعرف الدينامو + +28 +00:02:08,110 --> 00:02:14,480 +تبعي البسكليت تبع زمان بالظبط كيف كان يضويلازم تحط + +29 +00:02:14,480 --> 00:02:19,220 +الجرس على العجل، تمام؟ فكرة طويل محلاها ان انا + +30 +00:02:19,220 --> 00:02:24,260 +الحركة موجودة موجودة ليش مستغلها فحركة العجل بتولد + +31 +00:02:24,260 --> 00:02:29,140 +الكهربا بتخلي الملف يدور، حركة العجل نفسها و ال + +32 +00:02:29,140 --> 00:02:31,900 +bus ride في النهاية انا بدياه يدوي هو واقف ولا هو + +33 +00:02:31,900 --> 00:02:36,070 +ماشيوهو ماشي، مازال ماشي، في ممكنية البسكريات يمشي + +34 +00:02:36,070 --> 00:02:39,910 +بدون ما يطفوا أجاله؟ الحركة جاية جاية وبالتالي + +35 +00:02:39,910 --> 00:02:42,750 +بدون محط بنزين، تشوف مالخاصة الكهربا تبعت للجينام + +36 +00:02:42,750 --> 00:02:47,490 +والبسكريات؟ بلاش، جاية من الحركة أصلا موجودة، فهذه + +37 +00:02:47,490 --> 00:02:51,880 +فكرة عمل الجينام أو الجينامية، نفس القضيةكلهم شباب + +38 +00:02:51,880 --> 00:02:55,040 +بعتمدوا على فكرة فرضاي عشان كده أول ما جيبت فرضاي + +39 +00:02:55,040 --> 00:02:59,560 +قلت هذا قانون أساسي عمل انقلاب في الدنيا انه كيف + +40 +00:02:59,560 --> 00:03:03,660 +انا اولد تيار كهربائي ويكون مستممي زي البطارية كان + +41 +00:03:03,660 --> 00:03:08,780 +زمان كل .. برضه الأجيال الجديمة الجديمة خالص بدنا + +42 +00:03:08,780 --> 00:03:12,220 +نشوف التلفزيونات في غزة قبل ما تكون في كهربا في + +43 +00:03:12,220 --> 00:03:15,120 +أغلب البيوت فكيف كانوا يشغلوا التلفزيونات؟ ع + +44 +00:03:15,120 --> 00:03:18,190 +بطاريةيجيبوا بطارية زي بتاع السيارة و يشغلوا + +45 +00:03:18,190 --> 00:03:22,330 +التلفزيون تمام؟ لأنه بدهم كهربا، مافيش كهربا، في + +46 +00:03:22,330 --> 00:03:28,050 +الآخر بدت يعني الكهربا يمكن أنتوا .. يمكن أبواتكم + +47 +00:03:28,050 --> 00:03:33,330 +في منكم مواريد السبعينات تمام؟ الكهربا بأوائل + +48 +00:03:33,330 --> 00:03:36,590 +السبعينات بدت تغزو غزة بمعنى كلمة يعني كانت موجودة + +49 +00:03:36,590 --> 00:03:39,850 +قبل السبعينات و في الستينات من أيام المصريين بس في + +50 +00:03:39,850 --> 00:03:43,990 +أحياء معينة و كانت ضعيفة جدابالاخر انتشرت الكهربا + +51 +00:03:43,990 --> 00:03:47,930 +فى السبعينات انا بذكر فى ال 72 هي الانقلاب اللى + +52 +00:03:47,930 --> 00:03:51,890 +صار فى الكهربا انه صار فى توسعة شديدة على التيار + +53 +00:03:51,890 --> 00:03:54,410 +الكهربائي فى مدينة غزة وصارت منتشرة فى أغلب + +54 +00:03:54,410 --> 00:03:58,450 +الأحياء ولا كتير زمان فى أحياء ماكنش فيه كهربا مرة + +55 +00:03:58,450 --> 00:04:01,830 +ولا بتالي لا كان فى تلاجات ولا غسلات ولا تلفزيونات + +56 +00:04:01,830 --> 00:04:05,680 +او اللى عنده تلفزيون يشغلواولا بيعملوا كوزات .. + +57 +00:04:05,680 --> 00:04:08,580 +لأ، هذه الكوزات مشكلة، هذه كوزات wet، wet of the + +58 +00:04:08,580 --> 00:04:12,040 +city، من فرح لسه، في التسعينات، يعني حتى الكعبة + +59 +00:04:12,040 --> 00:04:16,460 +تعتبر بالعصر الجديد .. يعني تعتبر حديثة بالنسبة + +60 +00:04:16,460 --> 00:04:21,640 +لما نقول في السبعينات، قبل كده كانت ضعيفة أو قليلة + +61 +00:04:22,660 --> 00:04:25,920 +المهم انه انا كان فيه انديبطارية تديني DC بتشغّل + +62 +00:04:25,920 --> 00:04:31,160 +تلفزيوني بتشغّل راديو كل حاجة بعد كده بدأنا انه + +63 +00:04:31,160 --> 00:04:35,820 +كيف القهربة تكون موجودة و بكترة و بوفرة فهذا هو + +64 +00:04:35,820 --> 00:04:40,520 +الجهاز فكرة عمل اي generator ايش هو؟ بقول هذا + +65 +00:04:40,520 --> 00:04:46,080 +عبارة عن مغناطيس جوا المغناطيس موجود عشان يولجلي + +66 +00:04:46,080 --> 00:04:51,110 +مجال مغناطيسيأحنا بنقول فرضايش بيقول فرضايش بيقول + +67 +00:04:51,110 --> 00:04:57,150 +في انف بيساوي سالب انعدن اللفات دي فاي ام على دي + +68 +00:04:57,150 --> 00:05:02,430 +تي هذه فرضايش هذه بتساوي بي في ايه في كوسايم + +69 +00:05:02,430 --> 00:05:07,150 +الثيتا مصبوط او لا اذا فرضايش بيقول بيقول غير بي + +70 +00:05:07,150 --> 00:05:11,890 +او غير ا او غير الثيتاأو غير واحدة منهم على الأقل + +71 +00:05:11,890 --> 00:05:15,610 +بصير في عندك انف اذا صار في عندك طيار كهربائي هذا + +72 +00:05:15,610 --> 00:05:18,990 +هو الفرضية فقلنا اذا انا بدي بيه قطعا قالوا هاي + +73 +00:05:18,990 --> 00:05:25,030 +مجال مغناطيسي هاي بيه اي جد بدي loop عشان يدخلش + +74 +00:05:25,030 --> 00:05:30,130 +فيها طيار هاي loop اللي انا تبعتها ثابتة بعدين بدي + +75 +00:05:30,130 --> 00:05:34,700 +اغير فيه تبدي اخليها تلفلما تلف هذه ال loop شباب + +76 +00:05:34,700 --> 00:05:39,260 +اللوب اما تكون هيك او تكون هيك و بتلف قدرها لما + +77 +00:05:39,260 --> 00:05:43,380 +تكون ال loop هيك شباب كيف ال area بتكون ال loop + +78 +00:05:43,380 --> 00:05:48,520 +هيك؟ بتكون موازي ال loop يعني ال area و المجال + +79 +00:05:48,520 --> 00:05:54,660 +المناطيسي مع بعض او 180 درجة و sin 180 cos 180 cos + +80 +00:05:54,660 --> 00:06:01,470 +01 صح او لا؟ولما تكون تسعين بتصير Zero فمعناته + +81 +00:06:01,470 --> 00:06:05,390 +القيمة اللي انت عندك طالعة اما بتطلع Zero او بتطلع + +82 +00:06:05,390 --> 00:06:08,830 +تسعين درجة وبالتالي مرات بتكون الها قيمة ومرات + +83 +00:06:08,830 --> 00:06:12,730 +مالهاش قيمة وبتأكس في التسعين درجة فطبعا المشكلة + +84 +00:06:12,730 --> 00:06:18,340 +وين انه ايش بيخليها تتلفطبعا ان في البيوت البنزين + +85 +00:06:18,340 --> 00:06:22,040 +بيخليها تلف تمام؟ طبعا طاقة الرياح أخدنا في + +86 +00:06:22,040 --> 00:06:25,200 +المدارس انها ممكن تخليها تلف في البسكولية العجل + +87 +00:06:25,200 --> 00:06:30,480 +تخليها تلف و .. و في النهاية انا بدي طاقة اذا هو + +88 +00:06:30,480 --> 00:06:35,660 +الفكرة عمل اي generator بيحوطلي طاقة ميكانيكية الى + +89 +00:06:35,660 --> 00:06:39,370 +طاقة كهربائيةطبعا الميكانيكية كانت في إيجاد ممكن + +90 +00:06:39,370 --> 00:06:43,250 +تكون كيميائية ممكن تيجي طبعا كيميائية في بعض ال + +91 +00:06:43,250 --> 00:06:47,330 +generator ده كان ممكن تكون هوا او ممكن تكون شلولات + +92 +00:06:47,330 --> 00:06:51,490 +ميه لكن احنا بالنسبة لنا طاقة كيميائية بتصير + +93 +00:06:51,490 --> 00:06:54,630 +ميكانيكية و بعدين ترجع كهربية و الكهربية بعد كده + +94 +00:06:54,630 --> 00:06:58,610 +بستخدمها بكل الاستخدامات الممكنة اما حرارية او + +95 +00:06:58,610 --> 00:07:02,930 +ضوئية او بمجردها بيخليها حركية زي الهويات بتبدو + +96 +00:07:02,930 --> 00:07:06,920 +حركةبعدين ترجح حركة فهذا المهم طاقة و احنا عارفين + +97 +00:07:06,920 --> 00:07:12,920 +ان ال energy is conserved وبالتالي conserved هذا + +98 +00:07:12,920 --> 00:07:15,920 +لا يعني انه ماتتحولش من نوع لنوع يعني طاقة حركة + +99 +00:07:15,920 --> 00:07:19,000 +بصي طاقة وضع بصي طاقة حرارة بصي طاقة حركة كمان مرة + +100 +00:07:19,000 --> 00:07:24,020 +فالمهم أنواع مختلفة من الطاقةبيقول لي generators + +101 +00:07:24,020 --> 00:07:28,040 +or dynamo مرات بيسموه dynamo اول ما سموه سموه + +102 +00:07:28,040 --> 00:07:31,300 +dynamo وبعدين صار generator is a device that + +103 +00:07:31,300 --> 00:07:35,440 +operate according to the electromagnetic induction + +104 +00:07:35,440 --> 00:07:40,140 +of Faraday's law، اذا الفكرة العاملة هو Faradayit + +105 +00:07:40,140 --> 00:07:43,500 +is a device that produce a current by converting + +106 +00:07:43,500 --> 00:07:46,920 +the mechanical energy into electrical energy اهدا + +107 +00:07:46,920 --> 00:07:50,580 +هدا شغلات بس طبعا ايش بيبنيش تتكون زي ما انتوا + +108 +00:07:50,580 --> 00:07:55,680 +شايفين عندي لفة موجودة في مجال مغناطيسي او المتلف + +109 +00:07:55,680 --> 00:08:00,210 +هذا بضوئيأول مطلوب هذا بيضوي لإن صار في عندي تيار + +110 +00:08:00,210 --> 00:08:04,530 +كهربائي بحسب فرده طبعا هذه التركيبة اللي احنا مش + +111 +00:08:04,530 --> 00:08:06,990 +معنين فيها ولا بنجيب تركيبة ال dynamo ولا تركيبة + +112 +00:08:06,990 --> 00:08:09,210 +ال generator ولا كل هذه الأمور لإنها شغل السهل + +113 +00:08:09,210 --> 00:08:14,750 +وممكن واحد يحفظهايقول اذا اللوب تتغير طول ما اللوب + +114 +00:08:14,750 --> 00:08:19,790 +تتلف الوضع المغناطيكي يتغير مع الوقت انا بدي اغير + +115 +00:08:19,790 --> 00:08:23,270 +بف ثيتا اذا معناته اذا اغيرت ثيتا معناته الوضع + +116 +00:08:23,270 --> 00:08:28,750 +تتغير الوضع تتغير مع الزمن inducing an inf and so + +117 +00:08:28,750 --> 00:08:32,030 +a current in the external circuit صافي عندي طيارة + +118 +00:08:32,030 --> 00:08:36,590 +خلينا نشتغله نشوفه يقول support that the loop with + +119 +00:08:36,590 --> 00:08:41,340 +area a مساحتها aوتابتة rotates with constant + +120 +00:08:41,340 --> 00:08:44,980 +angular speed omega بتلف بسرعة معينة انا بعرفها + +121 +00:08:44,980 --> 00:08:49,280 +احنا طبعا عندنا خمسين هيرتز اغلب ال generators + +122 +00:08:49,280 --> 00:08:53,480 +خمسين هيرتز ده خليها هجت omega and support the θ + +123 +00:08:53,480 --> 00:08:55,440 +at the angle between the magnetic field and the + +124 +00:08:55,440 --> 00:08:58,120 +area of the loop the magnetic flux ده ليه يحسب ال + +125 +00:08:58,120 --> 00:09:00,560 +magnetic flux؟ بقول له ايه ال magnetic flux بيساوي + +126 +00:09:00,560 --> 00:09:03,780 +بيه ضبط ال a على اعتبار ان بيه uniform constant + +127 +00:09:03,780 --> 00:09:11,590 +بتطلعها برا التكامل لان ال fluxبتساوي تكامل B.DA + +128 +00:09:11,590 --> 00:09:17,550 +طلع الـ B برا فتصبح B.A B.A صحيح بي في A في كوسين + +129 +00:09:17,550 --> 00:09:21,470 +الـ Theta بقدر أقول الـ Theta بتساوي Omega في T + +130 +00:09:21,470 --> 00:09:25,630 +ماشي الـ Theta هي الإزاحة الزاوية بتساوي الصوعة + +131 +00:09:25,630 --> 00:09:28,210 +الزاوية في الزمن تم اعمالي علاقة خدناها الـ + +132 +00:09:28,210 --> 00:09:31,010 +Physicists جانوا هاي الـ Flux اشتغلها الـ Gate + +133 +00:09:31,010 --> 00:09:36,510 +اشتغل على فرضهاtherefore the induced inf in the + +134 +00:09:36,510 --> 00:09:40,450 +loop is given by فرضيا بيقوللي فاضل ايش هو فاضل ال + +135 +00:09:40,450 --> 00:09:46,310 +cosine؟ صالب صين صالب صين و omega بتطلع برا ولا لأ + +136 +00:09:46,310 --> 00:09:51,010 +أنا ثابتة فاتصارت صالب ويجانب الصالب من ال cosine + +137 +00:09:51,010 --> 00:09:56,110 +راح الصالب ب ا في omega sin omega t هاي قليل اتحيك + +138 +00:09:56,110 --> 00:10:02,350 +تمام ايش ها دى؟ قاللي ها دي sin omega t ها دي ايه + +139 +00:10:02,350 --> 00:10:08,630 +لها وحدات شباب؟وميجا في T إليها واحدة كده؟ ووميجا + +140 +00:10:08,630 --> 00:10:12,010 +في T إليها واحدة كده؟ ووميجا في T إليها واحدة كده؟ + +141 +00:10:12,010 --> 00:10:12,870 +واحدة كده؟ ووميجا في T إليها واحدة كده؟ ووميجا في + +142 +00:10:12,870 --> 00:10:15,850 +T إليها واحدة كده؟ ووميجا في T إليها واحدة كده؟ + +143 +00:10:15,850 --> 00:10:19,270 +ووميجا في T إليها واحدة كده؟ ووميجا في T إليها + +144 +00:10:19,270 --> 00:10:26,230 +واحدة كده؟ ووميجا في T إليها واحدة + +145 +00:10:26,230 --> 00:10:29,610 +كده؟ ووميجا في T إليها واحدة كده؟ ووميجا في T + +146 +00:10:29,610 --> 00:10:34,590 +إليها واحدة كده؟ ووميجإذا الجهد اللى طلع عندك زى + +147 +00:10:34,590 --> 00:10:38,610 +ما تشايفينه الـSin ومشكلة الـSin إيش كيف رسمت + +148 +00:10:38,610 --> 00:10:43,390 +الـSin يا شباب؟ جداش قيمة الجهود؟ من يقولي جداش + +149 +00:10:43,390 --> 00:10:48,370 +قيمة الجهود؟ بتقدر تعرفها؟ تتغير؟ هنا سفر هنا + +150 +00:10:48,370 --> 00:10:55,940 +maximum رجعت سفر رجعت بالسالق و رجعتأذا من هنا اتت + +151 +00:10:55,940 --> 00:11:01,960 +احكاية ان الطيار متردد مالوش خيمة ثابتة من هنا اتت + +152 +00:11:01,960 --> 00:11:07,480 +ان عندك sign و قيمة ال sign مقدرم الثابت بتغير و + +153 +00:11:07,480 --> 00:11:13,440 +بظل متغير إلى مانا نهاية this means that the inf + +154 +00:11:13,440 --> 00:11:17,580 +varies with time according to the sign function + +155 +00:11:17,580 --> 00:11:25,420 +تبام because of that we have a cSource AC + +156 +00:11:25,420 --> 00:11:31,680 +Alternating Current AC هداك بسميه DC Direct + +157 +00:11:31,680 --> 00:11:37,060 +Current اذا بسميه AC من وين لأن ال sign مترددة + +158 +00:11:37,060 --> 00:11:42,980 +تتغير تمام طيب هذا رمز ال DC Circuit ال DC Source + +159 +00:11:42,980 --> 00:11:46,900 +طب هدات ايش بتعمله رمز قالوا واحد يعمل هيك وحط + +160 +00:11:46,900 --> 00:11:52,530 +شوية ال signهذا هو الرمز من يوم اطلع اول ما اشوفه + +161 +00:11:52,530 --> 00:11:56,130 +بيقول هذا بيطلع اعتبره ماتور كهربا هذا generator + +162 +00:11:56,130 --> 00:11:59,870 +هذا ال generator هو اللي بيولد التيار الكهربائي + +163 +00:11:59,870 --> 00:12:04,410 +المتردد هذا رمزه في الدوائر الكهربائية EC source + +164 +00:12:04,410 --> 00:12:11,240 +تمامبعد رصبته هيك كنا عارفينها وواضح الآن ان + +165 +00:12:11,240 --> 00:12:16,740 +التيار بتغير من maximum ل minimum من maximum ل- + +166 +00:12:16,740 --> 00:12:22,730 +maximum إلى مانا نهايةطبعا ال frequency عشان الدور + +167 +00:12:22,730 --> 00:12:26,350 +ال frequency of commercial generators in our + +168 +00:12:26,350 --> 00:12:30,770 +country and most of the world is fifty hills دوران + +169 +00:12:30,770 --> 00:12:33,470 +ال loop في ال generator اللي في دهرك او في محطة + +170 +00:12:33,470 --> 00:12:38,230 +الكهربا كمان خمسين hills في أمريكا بيعتبروه ستين + +171 +00:12:38,230 --> 00:12:41,280 +hills لأن جهة أمريكا غير جهة تبعنا يا شبابأحنا + +172 +00:12:41,280 --> 00:12:45,920 +عارفين هناك 110 و احنا هنا 220 طبعا امريكا و كندا + +173 +00:12:45,920 --> 00:12:51,740 +تقريبا هم اللي بنفردوا بالولتية تبعتهم 110 و باقى + +174 +00:12:51,740 --> 00:12:57,560 +دول العالم 220 volt بيشغلوا يعني بيكونوا مصمم بس + +175 +00:12:57,560 --> 00:13:00,500 +مش كل الأجهزة بيكونوا مصمم انت لو تتطلع على كل + +176 +00:13:00,500 --> 00:13:04,460 +الأجهزة اللي عندك ممكن تبلغ من 220 ل240 volt تمام + +177 +00:13:04,460 --> 00:13:08,820 +لو حطيت .. لو صار في مشكلة معينة و صار 300 بنحرج + +178 +00:13:09,660 --> 00:13:14,560 +طبعا فهو بيكون التصميم تبقى و بيسمح بيداري طبعا في + +179 +00:13:14,560 --> 00:13:19,360 +ال .. او جت مباحظه عن ال computer في المدفع اه طب + +180 +00:13:19,360 --> 00:13:25,120 +ايه من المدفع ده المدفع او ال 22110 طيب مواد + +181 +00:13:25,120 --> 00:13:29,460 +ادابتر عشان الجهاز بدهو مش يعمل لكل دولة جهاز + +182 +00:13:29,460 --> 00:13:33,300 +فبيعملوا ايه يشرعوا التنين سوقوا في أمريكا اشتغل + +183 +00:13:33,300 --> 00:13:37,510 +سوقوا في غزة اشتغلبس بتجربة بتتغير في كام أجهزة في + +184 +00:13:37,510 --> 00:13:41,490 +adaptor و غالبا بتكون تغيره في الأجهزة مش بسهولة + +185 +00:13:41,490 --> 00:13:45,230 +يعني بيدك حالي لإنه بتتغيرش دايما تمام فانت بتتغير + +186 +00:13:45,230 --> 00:13:48,730 +حسب بلدك ايش الفورتية اللي بتشتري عليها 110 او 220 + +187 +00:13:48,730 --> 00:13:52,890 +فبتعملها بيسموها adaptor كيف يحول من فورتية + +188 +00:13:52,890 --> 00:13:56,470 +لفورتية تمام طبعا while it is 60 years in some + +189 +00:13:56,470 --> 00:14:00,130 +other countries like the USA and Canada تمام و + +190 +00:14:00,130 --> 00:14:03,210 +بنعرف ان ال frequency و omega هذه العلاقة تبعتهم + +191 +00:14:03,390 --> 00:14:09,910 +مادي شغلات عامة اقولكم ابترفوها اغلبهاأذا أنا بدي + +192 +00:14:09,910 --> 00:14:13,650 +أدى التغيير الوحيد شباب ان الطيار اللي عندي متردد + +193 +00:14:13,650 --> 00:14:17,310 +الجهد اللي عندي متردد لكن في عندي قوانين انا + +194 +00:14:17,310 --> 00:14:19,570 +بعرفها في الدولة الكهربائية في عندي توصيل تواري و + +195 +00:14:19,570 --> 00:14:23,210 +توصيل توازن في عندي قانون ohm في عندي قانون لل + +196 +00:14:23,210 --> 00:14:27,470 +capacitor في عندي قانون لل inductor هذه كل القانون + +197 +00:14:27,470 --> 00:14:31,190 +ماتتغيرش بيبقى زي ما هي بس مجرد الطيار بدل ما هو + +198 +00:14:31,190 --> 00:14:36,150 +ثابت الطيار متردد ohm's law is still hold بيبقى + +199 +00:14:36,150 --> 00:14:39,590 +قانون ohm بيبقى زي ما هوfor AC circuit يعني + +200 +00:14:39,590 --> 00:14:43,350 +القانون بيقول القيار بيساوي فرق الجهد على R هذه + +201 +00:14:43,350 --> 00:14:50,610 +فرق الجهد بحطه متردد هذه بيقول يسميها I maximum بس + +202 +00:14:51,960 --> 00:14:56,740 +لأن هذه قيمة أظمى فبتصير التيار بما أنه جهد متردد + +203 +00:14:56,740 --> 00:15:00,680 +فالتيار متردد بالقطع بالصين زي ما انتوا شايفينها + +204 +00:15:00,680 --> 00:15:05,460 +وهي التيار بتطلع من قيمة maximum لقيمة minimum + +205 +00:15:05,460 --> 00:15:11,260 +تمام هذه الرسمة لل DC circuit عشان أحول ال AC ل DC + +206 +00:15:11,260 --> 00:15:15,150 +لازم يكون خطوانت بتعرفوا كيف انه هادي اول بجلبها + +207 +00:15:15,150 --> 00:15:18,650 +هيك بالدايود و بعدين بعمل اكتر من دائرة دايود عشان + +208 +00:15:18,650 --> 00:15:22,870 +تصير القمم جانب عيد بحيث انها تكون خط مستقيم زي + +209 +00:15:22,870 --> 00:15:27,590 +هيك و برجع ال DC circuit و اللي اللي عنده laptop + +210 +00:15:27,590 --> 00:15:33,210 +او حتى الجوال لو تتطلع عليه الشاحن بيكون كتبلك برا + +211 +00:15:33,210 --> 00:15:36,550 +ايش هو ال output اللي بتاخده منه ال output غالبا + +212 +00:15:36,550 --> 00:15:42,400 +بيكون DC و طبعا يمكن الجوالات تلاتة voltوال .. حسب + +213 +00:15:42,400 --> 00:15:46,760 +تلاتة volt تلاتة بون سبعة volt و ال .. و ال laptop + +214 +00:15:46,760 --> 00:15:53,340 +بعرفش اتناش .. اتناطر volt ممكن يكون حسب الشغلاء + +215 +00:15:53,340 --> 00:15:56,700 +فبالتالي و كلهم كاتبين عليه DC بمعنى اخر هذا + +216 +00:15:56,700 --> 00:16:00,160 +الجهاز في ال laptop بتاعه في و انتوا بين وصفه وهذا + +217 +00:16:00,160 --> 00:16:04,060 +فيه العلبة دي هذه العلبة الشيية هذه هي بتحولك ال + +218 +00:16:04,060 --> 00:16:09,840 +voltage من 220 لل12 و بتحولك إياه من AC لDCو نفس + +219 +00:16:09,840 --> 00:16:13,500 +العملية في الجوال الشاحن انت بتحطه مش فيش صغير فيش + +220 +00:16:13,500 --> 00:16:17,460 +كبير هذا جهاز اللي جوا هذا برضه يسموه transformer + +221 +00:16:17,460 --> 00:16:24,480 +بيحول من AC ل DC و بيعمل تحويل ايضا من 220 volt ل + +222 +00:16:24,480 --> 00:16:28,360 +3 volt او 6 volt او اللي بدك اياه حسب في بعض + +223 +00:16:28,360 --> 00:16:32,040 +الراديوهات بيشتغلوا على 6 volt او 9 volt بحسب كل + +224 +00:16:32,040 --> 00:16:33,660 +هذه الشغلات بتتحول + +225 +00:16:39,720 --> 00:16:44,780 +لأ لأ مش بضرورة الطيار برضه انا بتحكم فيه لإنه هذا + +226 +00:16:44,780 --> 00:16:51,860 +بيعمل شغلات كتيرة جوا الجهاز transformer تمام طبعا + +227 +00:16:51,860 --> 00:16:55,080 +الجود بنكتبه من يوم بطالع ان الجود بيسوي V maximum + +228 +00:16:55,080 --> 00:16:59,300 +sine Omega T I بيسوي I maximum sine Omega T و V + +229 +00:16:59,300 --> 00:17:04,560 +بيسوي V maximum sine Omega T بالتالي ال sine وهي + +230 +00:17:04,560 --> 00:17:07,200 +اللي بتقولي ان هذا الطيار متردد + +231 +00:17:16,900 --> 00:17:21,940 +وين؟ بس مافضلناش هنا ماشي دي تي عادي تفرجي على ال + +232 +00:17:21,940 --> 00:17:25,380 +sign طبعا في النهاية cosine وال sign اخوة تفرجش + +233 +00:17:25,380 --> 00:17:31,640 +معانا طبعا بس هي عشان كده انجلبت ال sign تمام طبعا + +234 +00:17:31,640 --> 00:17:34,540 +I maximum و V maximum بيسموها peak current and + +235 +00:17:34,540 --> 00:17:38,240 +peak voltage دي معروفة ال peak اللي هي الذروة تمام + +236 +00:17:38,240 --> 00:17:45,210 +الآنمشكلة التيار المتردد شباب امين متردد انا في + +237 +00:17:45,210 --> 00:17:50,290 +النهاية جديش قيمة التيار الاصل ماجدرش اعرف لإنه + +238 +00:17:50,290 --> 00:17:54,370 +إيه القيمة واحدة هو؟ إيه عدد القيم؟ يعني لما أقول + +239 +00:17:54,370 --> 00:17:59,530 +أنا التيار نفترض إنه خمس أمبير بقدر أقول التيار + +240 +00:17:59,530 --> 00:18:04,050 +دايما خمس أمبير؟لأ مبتير 5000 مرات بيصير ثالث خمسة + +241 +00:18:04,050 --> 00:18:07,190 +أمبير و مرات بيصير ثلاثة أمبير و مرات بيصير سفر صح + +242 +00:18:07,190 --> 00:18:10,790 +ولا لأ لأن في قيم كتيرة طب اذا احنا بحط الامبير + +243 +00:18:10,790 --> 00:18:16,980 +الاميتر ب gas القيمة ايش هي قيمة ال gas هذه؟تمام + +244 +00:18:16,980 --> 00:18:19,500 +الارعى most value وفي نفس العملية انا لما اقول ان + +245 +00:18:19,500 --> 00:18:23,560 +عندي جهد 220 volt ايش بيسوي؟ كيف اتعرفته 220؟ ايش + +246 +00:18:23,560 --> 00:18:26,340 +هي القيمة هذه؟ اذا انا لما يكون في عندي قيمة + +247 +00:18:26,340 --> 00:18:29,920 +متغيرة شباب المنطق ياخدي ال average زي ما كنا + +248 +00:18:29,920 --> 00:18:34,160 +بيقول والله سيارة بتتحرك من هنا رفح هل كان سرعتها + +249 +00:18:34,160 --> 00:18:38,730 +ثابتة؟لأ ايه كانت ويمشي على فحكاية مرة بتسرع و مرة + +250 +00:18:38,730 --> 00:18:41,830 +تتنطق لكن في النهاية ممكن اقول كديش كان سرقتها + +251 +00:18:41,830 --> 00:18:44,630 +بقول بجيب ال average velocity بجيب ال total + +252 +00:18:44,630 --> 00:18:47,030 +distance ع ال total time و بقول هذه ال average + +253 +00:18:47,030 --> 00:18:50,610 +velocity اذا الشخص مجتمع متغيرة متعرف عليه ناخد ال + +254 +00:18:50,610 --> 00:18:53,210 +average جالي هنا في عندك مشكلة انت كيف تجيب ال + +255 +00:18:53,210 --> 00:18:57,310 +average في الرياضيات؟ كيف تجيب ال average؟بنجمحهم + +256 +00:18:57,310 --> 00:19:01,370 +ونجسمهم على عددهم طيب لما يكون في عندك أعداد + +257 +00:19:01,370 --> 00:19:06,210 +موجبهم بساوي سالبهم كده بيكون ال average؟ سفر طب + +258 +00:19:06,210 --> 00:19:11,310 +وال sign من رسمتها مش موجبه بساوي سالبه مش هى موجب + +259 +00:19:11,310 --> 00:19:18,630 +وهى سالب خدي الأمر يشبه عبادات بتطلع zeroلما تقول + +260 +00:19:18,630 --> 00:19:22,650 +zero ما هو مشكلته في الأول قبل ال average zero + +261 +00:19:22,650 --> 00:19:30,350 +امين لكن هل انت مش عندك طيار لأ نرجع لما مرة صار + +262 +00:19:30,350 --> 00:19:35,110 +في نقاش انه انا ايش بدي من الطيار انا الطيار بدي + +263 +00:19:35,110 --> 00:19:41,780 +منه طاقة كهربيةمن وين اتت الطاقة؟ الطيار اصلا ايش + +264 +00:19:41,780 --> 00:19:44,960 +هو؟ حركة الشحنات ولا مش حركة الشحنات؟ اذا اجبرت + +265 +00:19:44,960 --> 00:19:49,720 +انا الشحنات انها تتحرك اخدي الطاقة منها وانتش + +266 +00:19:49,720 --> 00:19:53,540 +باجبر الشحنات تتحرك اعمل فرق جهود لما تعمل فرق + +267 +00:19:53,540 --> 00:19:57,640 +جهود بين طرفي اي سلك تنتقل الشحنات من الاعلى جهود + +268 +00:19:57,640 --> 00:20:02,350 +الى الاقل جهود غصب عنهاإذا اتحركت معناته صار في + +269 +00:20:02,350 --> 00:20:07,290 +عندي طاقة طاقة حركية سخن السلك صار في طاقة حلوية و + +270 +00:20:07,290 --> 00:20:10,910 +هكذا بقول في النهاية في ال DC circuit الإلكترونات + +271 +00:20:10,910 --> 00:20:13,890 +بتمشي بالتجاه واحد في ال EC circuit مش بتسوي وراي + +272 +00:20:13,890 --> 00:20:19,450 +حاجة هي في الآخر هذه اتحركت وهذه اتحركت انت كمحصلة + +273 +00:20:19,450 --> 00:20:22,810 +من هنا ماخد طاقة و من هنا ماخد طاقة يعني لو جيبت + +274 +00:20:22,810 --> 00:20:26,430 +انت دفاية دفاية تحت الأصبع البسيطة تحت الكهربا + +275 +00:20:26,880 --> 00:20:32,660 +حطيتها في البريز و كان الكهربا جاطعة بتحمر؟ لو جسد + +276 +00:20:32,660 --> 00:20:38,480 +الطيار جديش؟ Zero هلجيك بيقوللي الطيار جال فيه + +277 +00:20:38,480 --> 00:20:45,030 +كهربا حطيت لبريز و حطيتها بتحمر و تحمرش؟تحمر يعني + +278 +00:20:45,030 --> 00:20:48,110 +صار فيك طاقة علارية ولا لأ لكن في نهاية ال average + +279 +00:20:48,110 --> 00:20:51,230 +current zero إذا في غير منطقي أنه ال average + +280 +00:20:51,230 --> 00:20:55,290 +current zero وانت في الأخر ما موجود قالوا تعوني + +281 +00:20:55,290 --> 00:20:58,910 +رياضيات لأ هذه ال average مش هيك تحسب لما يكون + +282 +00:20:58,910 --> 00:21:02,170 +القيمة صفر و بالهبلهاش معنى قالوا مافيش أسهل منها + +283 +00:21:02,170 --> 00:21:08,190 +تعوني لحظة لقولها مخرج قالوا ربعأول ربع هذه لما + +284 +00:21:08,190 --> 00:21:12,750 +تربحها بتصير هيك فقالت لما تاخدها بيبطل موجب و + +285 +00:21:12,750 --> 00:21:17,150 +سالب بيصير موجب و يوجب قال اخد الجزء التربيعيلما + +286 +00:21:17,150 --> 00:21:20,830 +تاخد الجزء التربيعي خد ال average sorry بعد ما + +287 +00:21:20,830 --> 00:21:24,410 +تاخد ال average ارجع خد الجزء التربيعي هذه ال RMS + +288 +00:21:24,410 --> 00:21:28,270 +value اذا انا ليش برجل ال RMS value عشان لو جبت ال + +289 +00:21:28,270 --> 00:21:30,810 +average وانا مغمض average عادي بتطلع معايا نتيجة + +290 +00:21:30,810 --> 00:21:34,790 +zero وهذه مش منطقية مع طبيعة العملية انك انت في + +291 +00:21:34,790 --> 00:21:38,950 +الاخر ليش كمان ربقت بقولك في النهاية انت بدك طاقة + +292 +00:21:38,950 --> 00:21:43,110 +شباب انا بدي الكهرة بليش بدي عشان اضوي معاه طاقة + +293 +00:21:43,110 --> 00:21:48,800 +ضوئيةبدي أشغل الغسالة، بدي طاقة حركية، أشغل الهوا + +294 +00:21:48,800 --> 00:21:52,360 +و طاقة حركية، أشغل الدفانة، بدي طاقة حرارية، صح + +295 +00:21:52,360 --> 00:21:54,980 +ولا لأ؟ إذا في النهاية أنا بدي طاقة، جالي من أين + +296 +00:21:54,980 --> 00:21:58,340 +بيجيب الطاقة؟ جالي الطاقة جاية من البر، اي تربيع + +297 +00:21:58,340 --> 00:22:02,310 +في الار، تربع في زمن هي الطاقةإذن الـ Power لها + +298 +00:22:02,310 --> 00:22:05,630 +دعوة بالـ I و لا بالـ I تربيع .. لها بالـ I تربيع + +299 +00:22:05,630 --> 00:22:09,150 +.. بس سالب ليش قيمة عندك .. مالكاش دعوة وين تنشي + +300 +00:22:09,150 --> 00:22:12,990 +.. فالتالي هذه حكاية الـ I تربيع لها معنى كتير .. + +301 +00:22:12,990 --> 00:22:16,490 +إنك أنت بدك الشحنات تتحرك .. كيف تتحرك .. بأي + +302 +00:22:16,490 --> 00:22:19,570 +اتجاه .. مالكاش دعوة .. المهم تتحرك .. إذا اتحركت + +303 +00:22:19,570 --> 00:22:22,870 +.. أخدت الطاقة اللي بدك إياها .. إذن أنا بدي أحافظ + +304 +00:22:22,870 --> 00:22:26,930 +على حركة الإلكترونات بمعنى آخر .. صار في عندك تيار + +305 +00:22:26,930 --> 00:22:29,850 +.. بغض النظر كيف اتدارش .. حتى لو واحد إيجاه .. + +306 +00:22:30,330 --> 00:22:33,750 +المهم في النهاية محصل عليه وبالتالي بيقول it is + +307 +00:22:33,750 --> 00:22:37,610 +clear من رسمة ال sine و ال cosine that the average + +308 +00:22:37,610 --> 00:22:43,750 +value of an AC is zero this doesn't mean however + +309 +00:22:43,750 --> 00:22:46,770 +that no power is needed or that is no heat is + +310 +00:22:46,770 --> 00:22:50,190 +produced in a resistor برغم ان ال average is zero + +311 +00:22:50,190 --> 00:22:54,730 +لكن هذا لا يعني انه الدفاية ما حمرتش حمرت مع انها + +312 +00:22:54,730 --> 00:22:59,720 +في انبعث طاقة حرارية اي تاتيElectrons for EC move + +313 +00:22:59,720 --> 00:23:03,980 +forth and back و + +314 +00:23:03,980 --> 00:23:10,020 +هي مصدر الطاقة اتحركت تمام it is known that the + +315 +00:23:10,020 --> 00:23:12,800 +power dissipated in a resistor is given power وهي + +316 +00:23:12,800 --> 00:23:16,000 +قانون ال power اصلا ال power بيسوي I تربيع في ال R + +317 +00:23:16,000 --> 00:23:20,960 +ال I انت بتقول عنه AC ربعه هاي ال sign تربيع هي + +318 +00:23:20,960 --> 00:23:25,530 +تصين تربيع شباب فيها سالبمش فيها سارب خدي ال + +319 +00:23:25,530 --> 00:23:28,470 +average تبعها بيقولي since the current is now + +320 +00:23:28,470 --> 00:23:31,930 +squared we see that the power is always positive + +321 +00:23:31,930 --> 00:23:35,850 +تمام it is easy to show that the average value of + +322 +00:23:35,850 --> 00:23:41,790 +الصين تربيع نص الصين تربيع نص طبعا في اشتقاق رياضي + +323 +00:23:41,790 --> 00:23:45,090 +ايه لها طبعا انتوا بتعرفوا ان الصين من واحد لنص من + +324 +00:23:45,090 --> 00:23:48,530 +زي ما حاكم من سفر لواحد كيف تعرف صارتها دي average + +325 +00:23:48,530 --> 00:23:54,790 +طب و الصين؟والـ sine قدش ال average تبحر؟ لأ + +326 +00:23:54,790 --> 00:23:59,170 +average ال sine مش واحد عن واحد مش نص مش نص هذه من + +327 +00:23:59,170 --> 00:24:04,110 +يوم اللي جت شباب من العراق اللي انتوا حافظينها قدش + +328 +00:24:04,110 --> 00:24:09,810 +هذه؟ واحد ايش بفرج ال sine عن ال cosine؟ ولا اي + +329 +00:24:09,810 --> 00:24:15,430 +شيء بس من يوم بدأ من ال phase معناته قاللي هذه حط + +330 +00:24:15,430 --> 00:24:19,950 +محلها sine تربية ايه + +331 +00:24:19,950 --> 00:24:20,470 +صارت؟ + +332 +00:24:23,620 --> 00:24:28,380 +إذا صين تربيع بيسوي نص الصين كده؟ واحد عايز زي + +333 +00:24:28,380 --> 00:24:33,250 +التاني إذا بيسويش نصفاهم عليا؟ اذا هذه هي من هذه + +334 +00:24:33,250 --> 00:24:36,650 +القاعدة من ال identity المشهورة sin تربيع plus + +335 +00:24:36,650 --> 00:24:39,070 +cosine تربيع equal to one طبعا انا كتب استبدالها + +336 +00:24:39,070 --> 00:24:42,430 +لانه لما نقولك انت لما تجيب average تجيب اي زاوية + +337 +00:24:42,430 --> 00:24:46,770 +او اي function sin او cosine وشوفه من النص تقدر + +338 +00:24:46,770 --> 00:24:50,130 +تميز بينهم انه sin او cosine؟ لأ في الرياضيات + +339 +00:24:50,130 --> 00:24:53,710 +بيعتبروا ال sin و ال cosine نفس ال function بس هي + +340 +00:24:53,710 --> 00:24:59,100 +من وين بدي و بس مش اكتر زي ما نقول Fof X و F of X + +341 +00:24:59,100 --> 00:25:03,060 +plus E في النهاية ماببفجوش يعني من أين بدي أبدأ + +342 +00:25:03,060 --> 00:25:08,660 +مافيش فرق فهذه sin تربيع بتسوي half وبالتالي and + +343 +00:25:08,660 --> 00:25:12,740 +so the average value of the power I تربيع is نص I + +344 +00:25:12,740 --> 00:25:17,280 +maximum تربيع هذا ال average وبالتالي ال power + +345 +00:25:17,280 --> 00:25:24,550 +بتصيرنص I maximum تربيع في R هذا هو ال power و + +346 +00:25:24,550 --> 00:25:29,610 +بتساوي نص V maximum تربيع على R عشان مايصيح فينا + +347 +00:25:29,610 --> 00:25:32,410 +قوانين كتيرة ايه القوانين اللي بعرفها ال power + +348 +00:25:32,410 --> 00:25:37,970 +بتساوي I تربيع في R و بتساوي V تربيع على Rطبعا اذا + +349 +00:25:37,970 --> 00:25:41,550 +جاله عشان هذا القانون اللي دلو صار المفعول مانعته + +350 +00:25:41,550 --> 00:25:45,930 +هذه I بدا تساوي I maximum ع جزء التربيع إلى اتنين + +351 +00:25:45,930 --> 00:25:48,570 +وهذه اللي بيسموها ال RMS value + +352 +00:25:51,720 --> 00:25:56,940 +هو ما هو المهم لتخطيط قوة التقارير إذا قيمة أساسية + +353 +00:25:56,940 --> 00:26:02,200 +أساسية قيمة أساسية قيمة قيمة قيمة أساسية قيمة قيمة + +354 +00:26:02,200 --> 00:26:03,080 +قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة + +355 +00:26:03,080 --> 00:26:03,300 +قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة + +356 +00:26:03,300 --> 00:26:03,400 +قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة + +357 +00:26:03,400 --> 00:26:10,700 +قيمة قيمة قيمة قيمة + +358 +00:26:10,700 --> 00:26:16,490 +قيمة قالـ mean هو الـ average الـ squares المربع + +359 +00:26:16,490 --> 00:26:19,590 +بتاخد ال average للمرور التربيع وبعدين بتاخد ال + +360 +00:26:19,590 --> 00:26:22,890 +square root ف ال root main square وهذه قاعدة + +361 +00:26:22,890 --> 00:26:26,790 +إحصائية مشهورة لما يكون عندك ال average zero يكون + +362 +00:26:26,790 --> 00:26:30,830 +في عندك plus و minus بتربع بتاخد ال average وبعدين + +363 +00:26:30,830 --> 00:26:36,630 +بتاخد الجزء التربيعي فإذا معناتهالـ I RMS Value + +364 +00:26:36,630 --> 00:26:39,250 +لأي قيمة هي الـ I مكسيما مع جزء تربيعي للتانين + +365 +00:26:39,250 --> 00:26:44,010 +النص هي التربيع لما ناخد من ال sign لحالها واحد + +366 +00:26:44,010 --> 00:26:50,210 +عزر التانين هذه هي القيمة الفعالة اللي أنت بتجيسها + +367 +00:26:50,210 --> 00:26:54,930 +و اللي أنت لما تقول الجهود 220 volt معناته هذه + +368 +00:26:54,930 --> 00:27:00,690 +قيمة ايش؟ ال RMS Value للجهودأو ال RMS Value للقرن + +369 +00:27:00,690 --> 00:27:05,210 +هذه هي القيام ال V RMS بيساوي Maximum عجز بالتانية + +370 +00:27:05,210 --> 00:27:09,450 +The RMS value of V and I are sometimes called the + +371 +00:27:09,450 --> 00:27:11,150 +effective values في المعمل اللي أخدته هو effective + +372 +00:27:11,150 --> 00:27:15,410 +valuesEffective values او RMS values واحد they are + +373 +00:27:15,410 --> 00:27:17,930 +useful because they can be substituted directly + +374 +00:27:17,930 --> 00:27:21,650 +into the famous power formula بالتالي بصير ال + +375 +00:27:21,650 --> 00:27:29,690 +power بيساوي I RMS V RMS نفس القانون I في V بس I + +376 +00:27:29,690 --> 00:27:34,790 +هنا RMS و V هنا VRMSنفس المعاملين والخوانين + +377 +00:27:34,790 --> 00:27:38,690 +بالنسبة للدور ما تغيروش بس ال I بيعني فيها الارمس + +378 +00:27:38,690 --> 00:27:45,130 +ال V بيعني فيها الارمس هنا ارمس و هنا RMS وبالتالي + +379 +00:27:45,130 --> 00:27:48,850 +it is the RMS value that are specified or measured + +380 +00:27:50,220 --> 00:27:55,020 +بالتالي الميters و الولت ميters اجهزة القياس مصممة + +381 +00:27:55,020 --> 00:27:57,660 +لقياس قيم المعامل المتواجدة على قيم المعامل + +382 +00:27:57,660 --> 00:27:59,100 +المتواجدة على قيم المعامل المتواجدة على قيم + +383 +00:27:59,100 --> 00:28:00,280 +المعامل المتواجدة على قيم المعامل المتواجدة على + +384 +00:28:00,280 --> 00:28:00,560 +قيم المعامل المتواجدة على قيم المعامل المتواجدة + +385 +00:28:00,560 --> 00:28:01,280 +على قيم المعامل المتواجدة على قيم المعامل + +386 +00:28:01,280 --> 00:28:02,320 +المتواجدة على قيم المعامل المتواجدة على قيم + +387 +00:28:02,320 --> 00:28:03,200 +المعامل المتواجدة على قيم المعامل المتواجدة على + +388 +00:28:03,200 --> 00:28:05,580 +قيم المعامل المتواجدة على قيم المعامل المتواجدة + +389 +00:28:05,580 --> 00:28:13,720 +على قيم المعامل المتواجدة على قيم المعامل + +390 +00:28:13,720 --> 00:28:16,620 +المتواجدة علىلذلك عندما نقول ان عدد الارمس في + +391 +00:28:16,620 --> 00:28:25,780 +بلدنا 220 فولت يعني أن عدد الارمس 220 فولت يعني + +392 +00:28:25,780 --> 00:28:28,380 +220 فولت يعني 220 فولت + +393 +00:28:35,340 --> 00:28:40,240 +وبالتالي 311 volt تقريبا هذه أكبر قيمة لها يعني هو + +394 +00:28:40,240 --> 00:28:46,160 +جهد بتفاوت ما بين 311 و-311 واحد بيقول طب ليش أنا + +395 +00:28:46,160 --> 00:28:50,220 +ماشوفش بضوي و بطفي هذا مش هو alternating ليش بطفيش + +396 +00:28:50,220 --> 00:28:54,320 +و بضوي لأنه سريع جدا شوفوا تركب بعمل 50 دورة في + +397 +00:28:54,320 --> 00:28:57,860 +الثانية في الثانية 50 دورة يعني شغل سريع جدا + +398 +00:28:57,860 --> 00:29:04,490 +وبالتالي انت بتلاحظش هذا الشغلتمام حاجة بنسميها + +399 +00:29:04,490 --> 00:29:08,270 +الphasers ونشوف ليش بيجيبوا الphaser بيقوللي انت + +400 +00:29:08,270 --> 00:29:12,310 +تيار متردد وحلو فهمناه طيب التيار المتردد و الجهد + +401 +00:29:12,310 --> 00:29:15,850 +المتردد هذا كيف بيبقى يتعامل معاه بكرا في الجامعة + +402 +00:29:15,850 --> 00:29:19,630 +يعني بمعنى اخر خليني اطبق كيرشوف ايش هو كيرشوف + +403 +00:29:19,630 --> 00:29:23,790 +بيقوللي اجمع جميع الجهود حوالين اي closed loop + +404 +00:29:23,790 --> 00:29:27,830 +بتسويها في zero مظبوط ولا لأ طبعا خليني اجمع هدول + +405 +00:29:27,830 --> 00:29:32,820 +ال two functions I functionوخلّيني أسميها I + +406 +00:29:32,820 --> 00:29:37,140 +-function كيف بدنا نجمعهم هذين الـ two functions؟ + +407 +00:29:37,140 --> 00:29:43,320 +هجيتنا افترض لو هذه خمسة هذه و هذه تلاتة هل بتقدر + +408 +00:29:43,320 --> 00:29:49,420 +تقول جمعهم تمانية؟ لأ ليه؟ بتقول لما هذه خمسة، هذه + +409 +00:29:49,420 --> 00:29:54,180 +إيش كانت؟ مش عارف هل كانت تلاتة و لا كانت اتنين و + +410 +00:29:54,180 --> 00:29:58,040 +لا كانت صفر؟ لو كانت هذه هنا بدأت من الصفر هنا + +411 +00:29:58,040 --> 00:30:02,560 +لطلع .. لو هنابطرة تلاتة يمكن واحد بالتالي كده + +412 +00:30:02,560 --> 00:30:06,200 +تجمع باعتمد على انهم كيف يكونوا مع بعض زي ال + +413 +00:30:06,200 --> 00:30:10,020 +vectors شباب هجيت لو تلاتة و أربع جالدي جمعهم + +414 +00:30:10,020 --> 00:30:14,140 +العاديين سبعة لو تنتين كانوا في ال X بقول جمعهم + +415 +00:30:14,140 --> 00:30:16,180 +سبعة لو واحدة في ال X واحدة في ال Y جالدي جمعهم + +416 +00:30:16,180 --> 00:30:20,990 +خمسةلو بينهم زاوية لها خمسة ولا سبعة إذا معناته + +417 +00:30:20,990 --> 00:30:24,570 +كيف تتعامل معاهم هدول؟ قالوا بدي أعملهم زي ال + +418 +00:30:24,570 --> 00:30:27,810 +vectors وبالتالي عشان أقدر أتعامل معاهم كرياضيات + +419 +00:30:27,810 --> 00:30:32,190 +وكحساب كل كمية من كمية هدول بدي أمثلهم ب vector + +420 +00:30:32,190 --> 00:30:37,020 +هذا ال vector بيسمونه phasorالـ vector اللي بيمثل + +421 +00:30:37,020 --> 00:30:41,240 +الكمية المترددة سموه phasor إيش هو ال phasor؟ + +422 +00:30:41,240 --> 00:30:46,160 +بتعرفوا بعدين إيش أستخدمه it is a quantum clock + +423 +00:30:46,160 --> 00:30:50,000 +while rotating vector هو vector ويدور ضد عقارب + +424 +00:30:50,000 --> 00:30:50,520 +الساعة + +425 +00:30:53,300 --> 00:30:56,840 +بيمثل ال a c quantity و ال a c quantity عندي two + +426 +00:30:56,840 --> 00:31:00,740 +quantities ال current و الجهود ال current و الجهود + +427 +00:31:00,740 --> 00:31:04,840 +such that its length represents the maximum value + +428 +00:31:04,840 --> 00:31:08,340 +of the quantity and its projection onto the + +429 +00:31:08,340 --> 00:31:12,040 +vertical axis represents the instantaneous value + +430 +00:31:12,040 --> 00:31:18,720 +of the quantity خليني أرسمه إيش هو ال phaser؟بأرسم + +431 +00:31:18,720 --> 00:31:25,860 +Y Axis و X Axis هذي ممكن يكون V و ممكن يكون طيارة + +432 +00:31:25,860 --> 00:31:32,420 +بقول Vector بلف + +433 +00:31:32,420 --> 00:31:38,720 +ضد عقارب الساعة هي Omega طوله بمثل ال maximum + +434 +00:31:38,720 --> 00:31:46,500 +value او مسقطه على ال Y Axis بمثل MI او V اتفعى + +435 +00:31:46,500 --> 00:31:52,420 +عادىهذا ال bus قط و هو بيلف و بدله ثابت؟لأ إذا + +436 +00:31:52,420 --> 00:31:56,980 +القيمة اللحظية بتتغير لو هذا كان على ال X axis كم + +437 +00:31:56,980 --> 00:32:00,980 +قيمة اللحظية؟ Zero لما هذا يكون على ال Y axis كم + +438 +00:32:00,980 --> 00:32:05,020 +قيمة؟ أكبر قيمة بيعود برجع Zero ولا برجع Zero؟ + +439 +00:32:05,020 --> 00:32:08,940 +بيعود برجع سالب إذا لو هذا بلف بعملي ال sine wave + +440 +00:32:08,940 --> 00:32:12,440 +ولا لأ؟ بعملي ال sine wave لكن بهذا الشكل بقدر + +441 +00:32:12,440 --> 00:32:15,200 +أتعامل معاه أسهل بصيط زي ال vector و بتعامل معاه ك + +442 +00:32:15,200 --> 00:32:18,360 +vector لما يكون عندي vector أو vector زي هيك بقدر + +443 +00:32:18,360 --> 00:32:22,210 +أجمعهمبقى ليه ما أحط sin و cos؟ vector و vector من + +444 +00:32:22,210 --> 00:32:25,390 +نفس الاتجاه بيمحوا معادي، إذا أنا بيتعامل من يوم + +445 +00:32:25,390 --> 00:32:31,010 +ما طالع مع الكميات المترددة بجدالة ال phasors و ال + +446 +00:32:31,010 --> 00:32:35,290 +phasor هو vector طوله بيمثل ال maximum value + +447 +00:32:35,290 --> 00:32:39,730 +للكمية و مصقطه على ال y-axis بيمثل القيمة اللحظية + +448 +00:32:39,730 --> 00:32:45,750 +للكمية و هو بدور ضد عقارب الساعة دعيني أشوف أول + +449 +00:32:45,750 --> 00:32:50,160 +مثال قبل ما نخش بتفاصيل الشرطةبيقول لي في عندي + +450 +00:32:50,160 --> 00:32:55,540 +microwave القدرة تبعته 900 واط ال microwave is + +451 +00:32:55,540 --> 00:32:59,860 +designed to operate في بلادنا 220 volt محطوط و + +452 +00:32:59,860 --> 00:33:02,820 +مصنع بيقول لي ايش بدك calculate its resistance + +453 +00:33:02,820 --> 00:33:07,440 +بيقولك المقاومة اللي جوا ايش بتساويand the peak + +454 +00:33:07,440 --> 00:33:10,780 +current when it is operating بدي تجيب جديش طيار + +455 +00:33:10,780 --> 00:33:14,440 +لما تحطه في الفيش لو حطيت أميتر جديش بقيت الطيار + +456 +00:33:14,440 --> 00:33:17,860 +بدي الطيار و بدي ال peak طبعا أنا الأميتر بيجيس + +457 +00:33:17,860 --> 00:33:21,860 +ليه؟ القيارة mass تمام؟ بدي أجيب ال peak بضربه + +458 +00:33:21,860 --> 00:33:25,780 +فيها زي تربيعي لتني طبعا هو إيش بعطيني؟ إيش 900 + +459 +00:33:25,780 --> 00:33:30,100 +watt هذي؟ power أنا بعرف إن ال power .. حُكوا + +460 +00:33:30,100 --> 00:33:33,340 +القوانين يا شباب I تربيع على الأرض بس هم إيش + +461 +00:33:33,340 --> 00:33:44,220 +بيسميها؟و بتسوي I في ال V و بتسوي V تربيع ال R ال + +462 +00:33:44,220 --> 00:33:48,460 +R مالهاش علامات ال R مقدار ثابت هاي قوانينا إيش + +463 +00:33:48,460 --> 00:33:55,900 +بده هو بده R تمام I معطينيها مش معطينيهاهنا + +464 +00:33:55,900 --> 00:33:59,260 +ماتعطيني ال V ولا مش ماتعطيني؟ ماتعطيني اذا انا من + +465 +00:33:59,260 --> 00:34:06,040 +هذا القانون بقدر اقول R بتسوى VRMS على ال بوة + +466 +00:34:06,040 --> 00:34:09,800 +بتسوى + +467 +00:34:09,800 --> 00:34:19,040 +220 تربيع على ال بوة 900 بتطلع معايا سهلة اذا هي + +468 +00:34:19,040 --> 00:34:22,900 +ال R بعد كده بدي التيار بدي التيار بجيب هذا + +469 +00:34:22,900 --> 00:34:27,570 +القانونصحيح ولا لأ؟ حاجة تقوم بجيبني ال I RMS عشان + +470 +00:34:27,570 --> 00:34:30,890 +اجيب ال peak بدله في جزاك 2 إذا في النهاية حاجة + +471 +00:34:30,890 --> 00:34:34,410 +سؤال اكتر سنة اللي أخدها واحد زيه في ال DC circuit + +472 +00:34:34,410 --> 00:34:37,570 +لما كنا عندنا heater إذا كنتوا ذاكرين مرة كان في + +473 +00:34:37,570 --> 00:34:41,190 +عندي heater وكيف نجيب المقاومة تبعته في أحد ال + +474 +00:34:41,190 --> 00:34:46,830 +chapter خمسة أعتقد إلى الخامستمام solution to find + +475 +00:34:46,830 --> 00:34:50,170 +the resistance we have ال R بيساوي V أرمس تربيه + +476 +00:34:50,170 --> 00:34:54,750 +على ال power طلعناها طلعت حوالي 54 Ohm عشان أطلع + +477 +00:34:54,750 --> 00:34:59,010 +التيار جبت القانون ال power بيساوي ال I في ال V و + +478 +00:34:59,010 --> 00:35:04,330 +طلعته حوالي 4.1 أمبير وبالتالي ال I maximum طلعت + +479 +00:35:04,330 --> 00:35:08,210 +حوالي 5.8 أمبير هذه زي ما انت شايفين أسئلة مباشرة + +480 +00:35:08,210 --> 00:35:11,590 +على القوانين اللي بتعرفوها مجرد التيار والجهد + +481 +00:35:11,590 --> 00:35:17,770 +صاروا أرمس مش أكترمتعامل معاه تمام الان بدنا نخش + +482 +00:35:17,770 --> 00:35:21,210 +على الدوائر نشوف الدوائر ايش بيصير فيها يا شباب + +483 +00:35:21,210 --> 00:35:26,190 +اول دائرة بيقوللي احط مصدر للتيار المتردد بيحط + +484 +00:35:26,190 --> 00:35:31,310 +مقاومة وشوفلي العلاقة بين جهد المقاومة وتيار + +485 +00:35:31,310 --> 00:35:35,490 +المقاومة جهد المقاومة وتيار المقاومة resistors in + +486 +00:35:35,490 --> 00:35:39,650 +AC circuit هى اللي انا .. هى عندي دائرة الان هاد + +487 +00:35:39,650 --> 00:35:47,430 +ايش بطاريةمش بطارية اش بطلع alternating voltage + +488 +00:35:47,430 --> 00:35:51,690 +بكتب V بيسوي maximum sine omega T V بيسوي maximum + +489 +00:35:51,690 --> 00:35:55,070 +sine omega T بيقول يطلعلي التياري اللي بيمر في + +490 +00:35:55,070 --> 00:35:58,870 +المقاومة ويفجبلي فرق الجهد بين طرفي المقاومة من + +491 +00:35:58,870 --> 00:36:00,830 +يقولي قديش فرق الجهد بين طرفي المقاومة + +492 +00:36:03,410 --> 00:36:07,950 +هو نفسه اللي تحت ولا لا؟ نفسه و هاد شغله معروفة + +493 +00:36:07,950 --> 00:36:12,050 +نقول let Vr be the voltage of some instant across + +494 +00:36:12,050 --> 00:36:16,510 +the resistor Vr هو جهد المقاومة this voltage must + +495 +00:36:16,510 --> 00:36:20,130 +equal to the voltage of the E source هذا هو هاي Vr + +496 +00:36:20,130 --> 00:36:23,590 +هذا فرق الجهد بين طرفي المقاومة قال يجيب التيار + +497 +00:36:23,590 --> 00:36:27,150 +كيف بتجيب التيار قانون ايش اللي بيجيب التيار قانون + +498 +00:36:27,150 --> 00:36:33,200 +Ohm قانون OhmThe current passing through the + +499 +00:36:33,200 --> 00:36:41,780 +resistor is I V R على R هى ال V اوله و قولت هى دى + +500 +00:36:41,780 --> 00:36:47,720 +حسب قانون اهم بتساوي I I بتساوي I maximum sine + +501 +00:36:47,720 --> 00:36:54,790 +Omega T دمى ده اللى قارن هى جهود و هى تيارالجهد + +502 +00:36:54,790 --> 00:37:02,670 +ثابت sin ωt التيار ثابت sin ωt انت بتساوي صفر جدش + +503 +00:37:02,670 --> 00:37:09,510 +ال V انت بتساوي صفر جدش ال V و جدش ال I صفر طيب + +504 +00:37:09,510 --> 00:37:12,590 +عند الزمن اللي بيكون V بيساوي V maximum التيار ايش + +505 +00:37:12,590 --> 00:37:16,230 +بيكون برضه maximum مظبوط ولا لأ اذا ايش معناته + +506 +00:37:16,230 --> 00:37:19,050 +بيقول هدول ماشيين مع ضائقلما واحد منهم يكون + +507 +00:37:19,050 --> 00:37:20,930 +maximum والثاني maximum لما واحد يكون minimum + +508 +00:37:20,930 --> 00:37:23,430 +والثاني يكون minimum بمعنى آخر ممكن تجمعهم جامعه + +509 +00:37:23,430 --> 00:37:26,910 +عادي وكانوا two vectors في نفس الاتجاه شباب تمام؟ + +510 +00:37:26,910 --> 00:37:30,470 +في هذه الحالة بسميهم التاني مع بعض in phase لهم + +511 +00:37:30,470 --> 00:37:38,410 +نفس طور in phase لأنهم بيصلوا وبينتهيوا مع بعضas + +512 +00:37:38,410 --> 00:37:43,330 +it is clear هاي القاعدة تبعتنا بيقول the current I + +513 +00:37:43,330 --> 00:37:47,610 +and the voltage V across a resistors in a pure + +514 +00:37:47,610 --> 00:37:51,550 +resistive AC circuit are in phase في دوائر اللي + +515 +00:37:51,550 --> 00:37:55,950 +فيها فقط مقاومة بيكون التيار والجهود ماشيين مع بعض + +516 +00:37:55,950 --> 00:38:03,150 +in phase لو بدي أرسمهم هايهذا الجهد الأحمر لو بدأت + +517 +00:38:03,150 --> 00:38:07,910 +أرسم الطيار بلون مختلف أزرق المفروض أبدأ من هنا + +518 +00:38:07,910 --> 00:38:13,730 +لما يكون maximum يكون maximum بيكون هيك واحدة + +519 +00:38:13,730 --> 00:38:17,230 +بتمثل الجهد واحدة بتمثل الطيار من أكبر الطيار + +520 +00:38:17,230 --> 00:38:20,410 +والجهد؟ ممكن أشترك برنامجك؟ ممكن أشترك برنامجك؟ + +521 +00:38:20,410 --> 00:38:21,670 +ممكن أشترك برنامجك؟ ممكن أشترك برنامجك؟ ممكن أشترك + +522 +00:38:21,670 --> 00:38:21,770 +برنامجك؟ ممكن أشترك برنامجك؟ ممكن أشترك برنامجك؟ + +523 +00:38:21,770 --> 00:38:25,170 +ممكن أشترك برنامجك؟ ممكن أشترك برنامجك؟ ممكن أشترك + +524 +00:38:25,170 --> 00:38:31,440 +برنامجك؟ ممكنعشرة volt وهذا اتنين امبير مظبوط ولا + +525 +00:38:31,440 --> 00:38:36,620 +لا تفرجش تمام خلينا نرسمها ك فيزر هذه حلوة بس + +526 +00:38:36,620 --> 00:38:41,020 +بتغلب في التعامل معها قالوا هيك نرسمها هاي ال volt + +527 +00:38:42,250 --> 00:38:47,370 +Vector بدور ضد عقارب الساعة هذه V maximum الطول + +528 +00:38:47,370 --> 00:38:53,390 +هذه VR اللعبية كي بدوسم التيار بنفس الاتجاه + +529 +00:38:53,390 --> 00:38:58,450 +فبدوسمه هيك ببدأ من هنا و ماشي هذين المسكين إذا + +530 +00:38:58,450 --> 00:39:01,490 +بقعدوا ماشين لما واحد يكون maximum التاني بيكون + +531 +00:39:01,490 --> 00:39:04,250 +معاه maximum لما واحد يكون zero التاني بيكون zero + +532 +00:39:04,250 --> 00:39:08,020 +معاه و هكذابهيك يُرسى مكافئة زاز بصير التعامل + +533 +00:39:08,020 --> 00:39:10,960 +معاهم سهل ال two vectors are in the same direction + +534 +00:39:10,960 --> 00:39:14,780 +وبالتالي الجامعه بيكون عادي غير لما يكون واحد + +535 +00:39:14,780 --> 00:39:20,200 +بينهم زاوية بتتعامل معاهم بطريقة مختلفة إذا + +536 +00:39:20,200 --> 00:39:23,780 +المعلومة الأولى اللى جمعناها أنه لما يكون في عندكم + +537 +00:39:23,780 --> 00:39:28,860 +شماب resistor بيكون التيار والجهد انفذ التيار + +538 +00:39:28,860 --> 00:39:34,720 +والجهد انفذ نيجي نشوف لو كان في عندك inductor أخدت + +539 +00:39:34,720 --> 00:39:42,690 +ال inductorماذا هو الاندكتر؟ الملف ماهو الملف؟ + +540 +00:39:42,690 --> 00:39:43,590 +ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ + +541 +00:39:43,590 --> 00:39:44,350 +ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ + +542 +00:39:44,350 --> 00:39:44,870 +ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ + +543 +00:39:44,870 --> 00:39:45,350 +ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ + +544 +00:39:45,350 --> 00:39:45,410 +ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ + +545 +00:39:45,410 --> 00:39:48,810 +ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ + +546 +00:39:48,810 --> 00:39:56,850 +ماهو الملف؟ ماهو الملف؟ + +547 +00:39:56,850 --> 00:40:03,120 +ماهذا هو القانون اللي بربط الفرق الجهد مع التيار + +548 +00:40:03,120 --> 00:40:09,260 +بالنسبة الكباسيتر ال V تبع الكباسيتر بالسواء Q على + +549 +00:40:09,260 --> 00:40:15,820 +C طبعا بالنسبة لمقاومة VR بالسواء IFR هدول التلات + +550 +00:40:15,820 --> 00:40:21,360 +عناصر اللي أنا بستخدمهم نجي لهان عشان اجيب التيار + +551 +00:40:21,360 --> 00:40:26,120 +بقول فوائد كامل هذهمظبوط؟ عشان أديه بالتيار بيقول + +552 +00:40:26,120 --> 00:40:30,360 +الكامل هذه طيب الملف كيف .. إيش أخدنا عنه معلومات + +553 +00:40:30,360 --> 00:40:33,300 +أنتي بيساوي سيفر كيف بيشتغل أو أنتي بيساوي مانا + +554 +00:40:33,300 --> 00:40:39,360 +نهاية كيف بيشتغل؟ الملف او + +555 +00:40:39,360 --> 00:40:43,360 +بال .. و أنتي بيساوي مانا نهاية يعني بيصيب silic + +556 +00:40:43,360 --> 00:40:45,660 +عادي ولا لأ طيب لما يقول short circuit كده + +557 +00:40:45,660 --> 00:40:52,330 +مقاومته؟ zero مقاومته zero طيب ال capacitor؟العكس + +558 +00:40:52,330 --> 00:40:55,350 +لما يقول open circuit يعني انجدش المقاومة بتكون لل + +559 +00:40:55,350 --> 00:40:59,270 +open circuit infinity مظبوطه للغاية خلينا نجرب ايش + +560 +00:40:59,270 --> 00:41:03,550 +بتصير معانا و نعمل مقارنة بيقولني هاي دائرتك هاي + +561 +00:41:03,550 --> 00:41:07,810 +ملف اتفقنا احنا وياكم الملف مشغولش الا عن تسكير + +562 +00:41:07,810 --> 00:41:11,210 +وفتح الدائرةوقلنا هذا في دوائر الطيارة المترددة + +563 +00:41:11,210 --> 00:41:14,890 +وقلنا في الطيارة المترددة لكن مستمر في دوائر + +564 +00:41:14,890 --> 00:41:19,790 +الطيارة المترددة بيشتغل على طول لأن أنا شغله طول + +565 +00:41:19,790 --> 00:41:22,890 +ما فيه تغير في ال flux وما زال الطيارة مترددة لأن + +566 +00:41:22,890 --> 00:41:25,910 +ال flux متغير لأن ال magnetic field is changeable + +567 +00:41:25,910 --> 00:41:31,560 +تمامبقول كمان مرة فرق الجهد بين طرفي ال inductor + +568 +00:41:31,560 --> 00:41:35,340 +بيسوي نفسه فرق الجهد بين طرفي ال source هذه قاعدة + +569 +00:41:35,340 --> 00:41:39,940 +معروفة بيقول VL بيسوي V maximum sine Omega T بيقول + +570 +00:41:39,940 --> 00:41:43,880 +خلينا دي بالتيارة الآن let find the current + +571 +00:41:43,880 --> 00:41:48,580 +passing through the inductor هي القانون تبعي VL + +572 +00:41:48,580 --> 00:41:52,880 +بيسوي سالب LDI على DT طبعا انا هنا ليش جمت السالب + +573 +00:41:52,880 --> 00:41:59,640 +شباب؟ليش هذا الانجام؟ اشو هذا هو اصلا؟ مش هاد ال + +574 +00:41:59,640 --> 00:42:04,540 +lens مش هاد ال lens اللي حدده مش بحددلي فرق الجهد + +575 +00:42:04,540 --> 00:42:09,320 +في ال alternating current في جهد اتجاه واحد مش مرة + +576 +00:42:09,320 --> 00:42:13,280 +هيك و مرة هيك اذا ابطل اللي معناه هنا انجام تمام + +577 +00:42:13,280 --> 00:42:17,080 +لان انا و كده باخدي جهد ال absolute value تمام + +578 +00:42:17,080 --> 00:42:23,060 +قللي هاي قانونك بقول الآن I بالساوي واحد على L + +579 +00:42:23,060 --> 00:42:32,330 +تكامل VLDTV الهيه حطها ايش تكامل ال signسالب كوصين + +580 +00:42:32,330 --> 00:42:36,490 +تفاجئوا لل sign كوصين و تكامل ال sign سالب كوصين + +581 +00:42:36,490 --> 00:42:41,310 +تفاجئوا لل كوصين سالب sign و تكامل الكوصين sign + +582 +00:42:41,310 --> 00:42:44,550 +طبعا ثابت بتطلع برا فانا عندي هنا ثابت بصي واحد + +583 +00:42:44,550 --> 00:42:49,470 +على omega L بتعرفوا اه طلعت هيك جل التيار sign لكن + +584 +00:42:49,470 --> 00:42:54,030 +ال جهد sign لكن التيار كوصين و ال sign و الكوصين + +585 +00:42:54,030 --> 00:42:57,540 +بيمشوا مع بعضبمشوش مع بعض الـ sine و الـ cosine + +586 +00:42:57,540 --> 00:43:02,320 +إذا صروا مش انفز طب كيف أبدأ أعمل مقارنة؟ أقول لك + +587 +00:43:02,320 --> 00:43:05,580 +عشان تعمل مقارنة صح حول ال cosine ل ال sine عشان + +588 +00:43:05,580 --> 00:43:08,200 +تعرف تقارن في مكمية حول ال cosine ل ال sine يا + +589 +00:43:08,200 --> 00:43:12,700 +شباب تزيد 90 درجة و برجس 90 درجة مظبوط ولا لا؟ + +590 +00:43:12,700 --> 00:43:16,600 +بقول هنا في عندك سالب cosine Omega T بدي أشتغل + +591 +00:43:16,600 --> 00:43:20,380 +عليها بقول using the identity الذاكرين هذا ال + +592 +00:43:20,380 --> 00:43:26,930 +identity؟Sin A زائد او ناقص B كان في عنده علاقة + +593 +00:43:26,930 --> 00:43:31,750 +دائما موجودة على اما في اخر كتاب الcalculus او ع + +594 +00:43:31,750 --> 00:43:38,950 +الجلدة SIN A plus or minus B ايش بتساوي SIN A plus + +595 +00:43:38,950 --> 00:43:46,590 +sorry SIN B plus or minus SIN A SIN B هذه العلاقة + +596 +00:43:46,590 --> 00:43:51,480 +اللى بدى اشتغل عليهاماهو الـ A عندي؟ الـ B جاء في + +597 +00:43:51,480 --> 00:43:58,220 +Tبايع اتنين فبقول لي sign omega t في cos بايع + +598 +00:43:58,220 --> 00:44:02,480 +اتنين جديش cos بايع اتنين؟ سفر راح اتعودت للأولى + +599 +00:44:02,480 --> 00:44:09,620 +التانية sign ال بايع اتنين واحد و cosine ال omega + +600 +00:44:09,620 --> 00:44:13,800 +t قد هي موجودة فهذه الصيغة بتطلع اذا قال لي راح ال + +601 +00:44:13,800 --> 00:44:18,640 +cosine طلعناها هكذا اذا التيار طلع بهذه الصيغة قال + +602 +00:44:18,640 --> 00:44:19,440 +لي ميجي ليها دى + +603 +00:44:23,180 --> 00:44:30,320 +هذه أوميجا وهذه L الهنري ألف + +604 +00:44:30,320 --> 00:44:36,280 +أوميجا هنري وهذه ع سكنت الهنري ماذا يعني؟ Volt + +605 +00:44:36,280 --> 00:44:39,680 +سكنت + +606 +00:44:39,680 --> 00:44:47,440 +على أمبير هذه لم يذهب أحد ثم Volt على أمبير وطلعت + +607 +00:44:47,440 --> 00:44:57,710 +O إذا هذه الكمية Oوفورت على اوم طيّر صح طب هذه اوم + +608 +00:44:57,710 --> 00:45:02,170 +الكمية الفيزيائية اللي وحدتها اوم انا مش بعرفها + +609 +00:45:02,170 --> 00:45:06,970 +مقاومة طب علماء جوا حطوا مقاومة و لفوق قالوا ايه + +610 +00:45:06,970 --> 00:45:14,010 +المقاومة عرفت كل العالم مرتبطة بها الرمزصح هذا ملف + +611 +00:45:14,010 --> 00:45:17,630 +كبدي أعمله مقاومة لكن في النهاية فيزيائيًا هي + +612 +00:45:17,630 --> 00:45:21,910 +مقاومة لأن واحد اتحقه جاله عشان ما تغلبش حالنا + +613 +00:45:21,910 --> 00:45:25,950 +نرجع للمعنى العربي ايش الفرق بين ممانعة ومقاومة + +614 +00:45:25,950 --> 00:45:30,770 +لغويا و ليش في النهاية جاله قالاش يسميها مقاومة + +615 +00:45:30,770 --> 00:45:35,490 +سميوها ممانعة تمام لكن المعنى اللغوي واحد هذا + +616 +00:45:35,490 --> 00:45:41,490 +بقاوم هذا بمانع او تاني بقاوم فسمواوميجا في ال + +617 +00:45:41,490 --> 00:45:48,890 +ممانعة reactive تمام؟ اذا مارضوش يسموها مخامة عشان + +618 +00:45:48,890 --> 00:45:51,870 +مايصليش في misunderstanding و confusion بين + +619 +00:45:51,870 --> 00:45:55,550 +المصطلحات العلمية قالوا خلاص زي ما سمينا ال + +620 +00:45:55,550 --> 00:45:58,530 +permeability و ال permativity واحدة لكن عشان + +621 +00:45:58,530 --> 00:46:03,190 +يميزوا بينهمإذا جاله I maximum هادي بيساوي V + +622 +00:46:03,190 --> 00:46:08,010 +maximum وماسموهاش R ادوها رمز X طبعا حطوا X لل L + +623 +00:46:08,010 --> 00:46:12,810 +لإنه حيكون عندي X لل C كمان لكبسطر XL الشياء XL + +624 +00:46:12,810 --> 00:46:17,330 +بيساوي Omega في L إذا هادي الشياء شباب مقاومة + +625 +00:46:17,330 --> 00:46:23,570 +inductive reactance reactance الممانعة الحثية كلمة + +626 +00:46:23,570 --> 00:46:27,550 +ممانعة ومقاومة واحدة بدنا نصل لشغل معينة نرجع + +627 +00:46:27,550 --> 00:46:31,680 +لدوائر التيار المستمرانا لما اكون مسكت دائرتي اللى + +628 +00:46:31,680 --> 00:46:37,560 +كنت راسمها توي هي هيك و هي مصدر وماشي هيك وبقوللي + +629 +00:46:37,560 --> 00:46:42,660 +اشتغل بعد منا كام دقيقة ايش بتعتبر الزمن قال الى + +630 +00:46:42,660 --> 00:46:45,600 +السفر ولا الى المنه نهاية الى المنه نهاية الاصل + +631 +00:46:45,600 --> 00:46:52,590 +ايه كيفش الملف يشتغل جديش مقاومتهzero يعني ممانعته + +632 +00:46:52,590 --> 00:46:56,130 +المفروض يكون zero طب هدف دوائر التيار المستمر اللي + +633 +00:46:56,130 --> 00:46:59,410 +بتحكيه طب في دوائر التيار المستمر كيف التيار + +634 +00:46:59,410 --> 00:47:02,910 +المتردد بيخلي أنا مستمر ايش أسوي؟ ايش أخلي أوميجا + +635 +00:47:02,910 --> 00:47:07,350 +تبعته؟ zero لو أوميجا سوى أتسفر قداش XL في ال + +636 +00:47:07,350 --> 00:47:12,660 +zero، برجع تيار مستمرإذا هذه المعلوم ما بتتناقضش + +637 +00:47:12,660 --> 00:47:16,700 +مع معلومة تحت التيار المستمر انه بعد زمن طويل + +638 +00:47:16,700 --> 00:47:21,760 +الملف مالوش مقاومة اللي ممانعة فقط في تواير التيار + +639 +00:47:21,760 --> 00:47:25,120 +المتعدد لكن ممانعته في تواير التيار المستمر مش + +640 +00:47:25,120 --> 00:47:30,560 +موجودة وإجت الممانعة نتيجة عمل ال Inductor نتيجة + +641 +00:47:30,560 --> 00:47:35,040 +التغير اللي بيصير بالفكسلكن لما يثبت ال flux و + +642 +00:47:35,040 --> 00:47:38,720 +يثبت المجال المغناطيسي بيبطل الملافق له أي ممانعة + +643 +00:47:38,720 --> 00:47:44,000 +عشان كده أميجا لما تكون zero XL في دوائر التيار + +644 +00:47:44,000 --> 00:47:47,520 +المستمر مش موجودة موجودة فقط في دوائر التيار + +645 +00:47:47,520 --> 00:47:50,760 +المتردد لما تكون أميجا إيها قيمة لكن لما تكون + +646 +00:47:50,760 --> 00:47:54,640 +الأميجا بتساوي zero خلاص برجع انه Silk عادي و + +647 +00:47:54,640 --> 00:47:59,630 +مالوش أي عمل و بيضلوا عادي مافيش أي مشكلةفعندما + +648 +00:47:59,630 --> 00:48:06,350 +نقارن ال V بتساوي V maximum Sin Omega T ال I + +649 +00:48:06,350 --> 00:48:12,370 +بتساوي I maximum Sin Omega T نقص بقى على 2 هذا هما + +650 +00:48:12,370 --> 00:48:17,930 +ايش معناته بيقول التيار بيختلف عن الجهد ب 90 درجة + +651 +00:48:17,930 --> 00:48:23,130 +وعشان السالب بيقول التيار بيتأخر عن الجهد ب 90 + +652 +00:48:23,130 --> 00:48:29,290 +درجة التيار the current Ilegs behind legs يعني + +653 +00:48:29,290 --> 00:48:34,590 +اتأخر legs behind the voltage across an inductor + +654 +00:48:34,590 --> 00:48:38,030 +in a pure inductive AC circuit by 90 degree اللي + +655 +00:48:38,030 --> 00:48:42,030 +هي by عتنين اذا في دوائر التيار المتردد اللي فيها + +656 +00:48:42,030 --> 00:48:47,030 +فقط inductor بيكون دائما التيار متأخر عن الجهد + +657 +00:48:47,030 --> 00:48:51,450 +بتسعين درجة لو يجيب دا عصوم هو ناصم بقول هاي الجهد + +658 +00:48:52,500 --> 00:48:55,660 +حاجات الطيار هذي لما يكون Zero وهذا متأخر لأنه لسه + +659 +00:48:55,660 --> 00:48:59,460 +مش واصل هذي لما يكون maximum هذي لسه Zero و هكذا + +660 +00:48:59,460 --> 00:49:04,660 +أحلى رسمة ال phasers لو نريد أن نرسم ال phasers هي + +661 +00:49:04,660 --> 00:49:09,680 +ال V كيف نرسم الطيار لأنه متأخر بديه يتأخر 90 درجة + +662 +00:49:12,660 --> 00:49:17,780 +طبعا واضح لما يكون هذا سفر هذا اين بيكون بيكون هذا + +663 +00:49:17,780 --> 00:49:20,680 +maximum بس سالب لما يكون هذا maximum مهما ده ايش + +664 +00:49:20,680 --> 00:49:24,140 +بيكون سفر لإن لما يكون هذا هان هذا بساله هان و + +665 +00:49:24,140 --> 00:49:29,620 +هكذا اذا هذه الرسمة بتوضح ان الجهد الأحمر متقدم عن + +666 +00:49:29,620 --> 00:49:34,000 +التيار او التيار متأخر عن الجهد و الزاوية 90 درجة + +667 +00:49:34,000 --> 00:49:38,840 +هذا فقط لما يكون فيه inductor only inductor only + +668 +00:49:38,840 --> 00:49:39,680 +تمام + +669 +00:49:42,150 --> 00:49:47,990 +نشوف الكاباسيتر ايش بيصير فيه هاي + +670 +00:49:47,990 --> 00:49:51,810 +الكاباسيتر حطيت كاباسيتر طبعا خلينا نشوف + +671 +00:49:51,810 --> 00:49:55,410 +الكاباسيتر ايش بيسوي شباب هو الاصل انا لما احط + +672 +00:49:55,410 --> 00:49:59,710 +كاباسيتر مع بطارية الاصل ان الكاباسيتر بيشحن صح + +673 +00:49:59,710 --> 00:50:04,930 +ولا لأ خلاص بينتلي ايش بيصير في التيار بيجفليه + +674 +00:50:04,930 --> 00:50:09,030 +شجعه مجيف؟ لأنه صار جهد المكثف يسوي جهد البطارية + +675 +00:50:09,030 --> 00:50:13,430 +وقلت عن المكثف انتلة ولمّا أقول انتلة معناته مافيش + +676 +00:50:13,430 --> 00:50:15,870 +مجال للشحنات تتحرك من البطارية و تروح على + +677 +00:50:15,870 --> 00:50:19,810 +الكباسيتار ولمّا تتوقف حركة الشحنات في تيار، مافيش + +678 +00:50:19,810 --> 00:50:22,830 +تيار عشان كده سميته open circuit في ديائر التيار + +679 +00:50:22,830 --> 00:50:25,670 +المطرد دي المشكلة إيش؟ إنه أنا بملي، بعدين بروح + +680 +00:50:25,670 --> 00:50:29,510 +بعكس، بروح بفضي، بعدين بروح بملي، بعدين بروح بفضي، + +681 +00:50:29,510 --> 00:50:34,510 +فبظل رايح جاي، تيار بيجفشليش؟ لأن هو هذا .. لما + +682 +00:50:34,510 --> 00:50:36,890 +كان هذا positive نيجاتيف هذا صار positive نيجاتيف + +683 +00:50:36,890 --> 00:50:39,830 +لما انضلق .. بيبقى يفضل .. بيبقى عايز يصير + +684 +00:50:39,830 --> 00:50:42,130 +negative positive .. بيبقى عاوز بينقلب .. فبيبقى + +685 +00:50:42,130 --> 00:50:44,970 +ليهش .. لإن هو بيقلب جاعد .. هذا بيقلب مش زي + +686 +00:50:44,970 --> 00:50:48,750 +البطارية عنده قطب بيبقوا مقبوط بهذه .. قطب موجب + +687 +00:50:48,750 --> 00:50:51,870 +دائما .. فبصير هذه موجب و هذه سالب .. لكن هنا لا + +688 +00:50:51,870 --> 00:50:55,110 +.. هذه مرة بيكون مرتبط مع قطب موجب و مرة مع قطب + +689 +00:50:55,110 --> 00:50:58,350 +سالب .. فبيبقى رايحة جاي الشحنات بين طرفين ال + +690 +00:50:58,350 --> 00:51:00,990 +capacitor .. وبالتالي لو في عندك هنا ال meter + +691 +00:51:03,870 --> 00:51:06,690 +بيهمدش، بيجافش، ليش؟ لإن هاد ايش كي بيشتغل، بيقول + +692 +00:51:06,690 --> 00:51:10,100 +طول ما الشحنات بتتحرك أنا بيده أتحركمظبوط ولا لأ؟ + +693 +00:51:10,100 --> 00:51:12,400 +طول ما الشحنات بتتحرك مانتوا في طيار وانا بجيص + +694 +00:51:12,400 --> 00:51:17,220 +طيار طب هذه الشحنات انتلت عودت رجعت عودت راحت عودت + +695 +00:51:17,220 --> 00:51:20,220 +رجعت في النهاية في حركة بس خليني أقول Germanometer + +696 +00:51:20,220 --> 00:51:22,240 +مرة بأعمل هيك ومرة بأعمل هيك مرة بأعمل هيك ومرة + +697 +00:51:22,240 --> 00:51:25,880 +بأعمل هيك اذا في حركة دائمة تما ما مافيش إمكانية + +698 +00:51:25,880 --> 00:51:29,360 +يكون في open circuit نوي أن يكون open circuit زي + +699 +00:51:29,360 --> 00:51:32,740 +ال DC circuit نقول بعد زمن معين صار في عندي open + +700 +00:51:32,740 --> 00:51:36,020 +circuit لأنه وجي في الطيار والطيار لا يقف إلا في + +701 +00:51:36,020 --> 00:51:39,580 +ال open circuit خليني أشوف إيش بيوصل معاناو يشوف + +702 +00:51:39,580 --> 00:51:46,080 +المقارنة مع ال DC circuit بقول كمان مرة فرق الجهد + +703 +00:51:46,080 --> 00:51:49,500 +بين طرفي المكثف بنتفق انه بيساوي فرق الجهد بين + +704 +00:51:49,500 --> 00:51:52,800 +طرفي ال source ولا لأ؟ اذا فرق الجهد بين طرفي + +705 +00:51:52,800 --> 00:51:56,560 +الكباسيتر بيساوي في maximum sine Omega T بدي اجيب + +706 +00:51:56,560 --> 00:52:00,180 +التيار الآن انا بدي احج ال Vanometer و بدي اجيسه + +707 +00:52:00,180 --> 00:52:03,400 +ايه بيجيب التيار؟ قال لي لو جبت الشحنات على + +708 +00:52:03,400 --> 00:52:08,280 +الكباسيتر بتقدر تجيب التيار؟بفاضل لأن I بيساوي DQ + +709 +00:52:08,280 --> 00:52:12,060 +على DT بقوله to find the current passing through + +710 +00:52:12,060 --> 00:52:16,280 +the capacitor we have بديه بأول Q Q بيساوي C في V + +711 +00:52:16,280 --> 00:52:21,140 +و I بيساوي DQ على DT I بيساوي DQ على DT اذا I + +712 +00:52:21,140 --> 00:52:27,480 +بيساوي DQ على DT C ثابتة DVC على DT هي VC الان بدي + +713 +00:52:27,480 --> 00:52:32,070 +افاضل الشباب ايش تفاضل ال sign؟كوصين تطلع أوميجا و + +714 +00:52:32,070 --> 00:52:36,150 +لا تطلع أوميجا تطلع أوميجا فصاد هي ال C وهي V + +715 +00:52:36,150 --> 00:52:39,770 +maximum وهي أوميجا وهي كوصين أوميجا T إذا هذي ال + +716 +00:52:39,770 --> 00:52:43,030 +sign وهذه ال كوصين إذا مش مع بعض برضه لكن إيش + +717 +00:52:43,030 --> 00:52:46,190 +المشكلة هناك كانت في سلب هنا في موجب فالموجب بيصير + +718 +00:52:46,190 --> 00:52:51,610 +كوصين sign أوميجا T زائد بيعتنين بيصير زائد + +719 +00:52:51,610 --> 00:52:58,270 +بيعتنين المشكلة هنا شباب قبل ما نحول ع signهذه V + +720 +00:52:58,270 --> 00:53:03,190 +maximum و C و Omega وهذه تيارة هذه لازم تكون + +721 +00:53:03,190 --> 00:53:07,670 +وحدتها أمبير لازم تكون وحدتها أمبير لأن الكصانف + +722 +00:53:07,670 --> 00:53:11,450 +ليش إلا واحدة Omega في T طب نرجع أحطها V maximum + +723 +00:53:11,450 --> 00:53:17,350 +مضروبة في C و في Omega هذه بقول لازم تكون وحدتها + +724 +00:53:17,350 --> 00:53:21,350 +أمبير طب هذه ليش وحدتها إذا هذه لازم تكون وحدتها + +725 +00:53:21,350 --> 00:53:28,850 +واحد على أمعشان واحد على ام + +726 +00:53:28,850 --> 00:53:34,190 +عشان يصير vote على ام هي الامبير واحد على ام اذا + +727 +00:53:34,190 --> 00:53:41,050 +هذه واحد على ام اذا لازم يكون في عند واحد على c + +728 +00:53:41,050 --> 00:53:46,650 +omega بتسوي مقاومة لازم تسوي مقاومة واحد على c + +729 +00:53:46,650 --> 00:53:51,600 +omega لان ام مقاومةجاي بيرجع كمان مرة المقامة هذه + +730 +00:53:51,600 --> 00:53:57,280 +R جاية من الرمز هذا شفتك رمز غيره اتفقنا على ال X + +731 +00:53:57,280 --> 00:54:03,440 +فجاله خليها X فبهديك XL جالك خليها XC برضه كمان + +732 +00:54:03,440 --> 00:54:07,370 +مرة جاله ماسميها Resistance ساميها Reactanceسامحها + +733 +00:54:07,370 --> 00:54:12,570 +ممانعة نرجع مقارنة بال DC circuit بقى نقول open + +734 +00:54:12,570 --> 00:54:15,850 +circuit open circuit مقاومة تدوى جديش جاليزميرتو + +735 +00:54:15,850 --> 00:54:19,570 +مانا نهاية لما هدي ال C صفر في ال DC circuit جديش + +736 +00:54:19,570 --> 00:54:24,360 +المقاومة بصي مانا نهاية إذا في ال DC circuitمقاومة + +737 +00:54:24,360 --> 00:54:28,360 +الكاباسيتر بتساوي مالة نهاية عشان كده بيقول التيار + +738 +00:54:28,360 --> 00:54:32,880 +لا يمر بيصير open circuit والتيار بيمر في مقاومة + +739 +00:54:32,880 --> 00:54:37,440 +مقاومة مالة نهاية لأ اذا برضه في consistent في + +740 +00:54:37,440 --> 00:54:40,320 +توافق ما بين ال DC circuits اللي أخدناها في + +741 +00:54:40,320 --> 00:54:43,740 +الشباتير الماضية وال EC circuit اللي بناخدها الآن + +742 +00:54:43,740 --> 00:54:47,560 +اللي انطبق على ال DC circuit قديما لينطبق الآن + +743 +00:54:47,750 --> 00:54:50,670 +حكاية ان الكباسيتر اكت از a short circuit او open + +744 +00:54:50,670 --> 00:54:54,090 +circuit وكذلك الملاف لاينطبق على EC circuit شباب + +745 +00:54:54,090 --> 00:55:01,070 +فقط هذهك خاصة بال DC circuits بس ..بالتالي اتفقنا + +746 +00:55:01,070 --> 00:55:04,630 +انه using the identity بتحول ال cosine الآن لصين + +747 +00:55:04,630 --> 00:55:08,490 +فصارت عندي ال I بتسوي ال sine Omega T زائد بعتنين + +748 +00:55:08,490 --> 00:55:12,660 +الان الطيارة بتأخر ولا بتقدم؟بتخدم لأن فيه زايد + +749 +00:55:12,660 --> 00:55:16,860 +فبساوي طبعا ال I maximum بساوي بيه maximum على XC + +750 +00:55:16,860 --> 00:55:19,940 +وال XZ زي ما حكينا انه هذه لما تصير صفر هتصير + +751 +00:55:19,940 --> 00:55:23,860 +مانهية وهذا متفقين مع بعض is called the capacitive + +752 +00:55:23,860 --> 00:55:27,200 +reactance هديك inductive reactance وهدي ال + +753 +00:55:27,200 --> 00:55:30,740 +capacitive reactance لما اجي ارسم او خليني احط + +754 +00:55:30,740 --> 00:55:36,440 +الملاحظة التالتةبيقول اللي the current I مش lags، + +755 +00:55:36,440 --> 00:55:43,140 +leads، يتقدم ال voltage by 90 درجة، إذن الآن + +756 +00:55:43,140 --> 00:55:48,960 +التيار بتقدمطبعا هنا بدى ارسم فصار التيار الأزرق + +757 +00:55:48,960 --> 00:55:54,940 +بتقدم على الأحمر هذا سفر هذا فوق هذا maximum هذا + +758 +00:55:54,940 --> 00:55:58,660 +بيكون zero و هكذا و طبعا هنا زى ما انتوا شايفين + +759 +00:55:58,660 --> 00:56:03,440 +انه التيار بتقدم على الجهد بتسعين درجة هذا لما + +760 +00:56:03,440 --> 00:56:07,200 +يكون سفر هذا بيكون maximum و هذه الزاوية تسعين + +761 +00:56:07,200 --> 00:56:13,530 +درجة تمام الآنمقاومة لحالها الطيار والجهد مع بعض + +762 +00:56:13,530 --> 00:56:19,290 +اندكترا لحاله الطيار بتأخر 90 درجة كبسطا لحاله + +763 +00:56:19,290 --> 00:56:24,330 +الطيار بيتقدم 90 درجة المرة الجاية ايه بنا نسوي + +764 +00:56:24,330 --> 00:56:28,110 +بنا + +765 +00:56:28,110 --> 00:56:32,160 +ناخد التلاتة هدول مع بعضهل جيت التلاتة هدول؟ كيف + +766 +00:56:32,160 --> 00:56:35,980 +بتتعامل معهم؟ اتطلعوا شباب الاصل لو واحد هو مغمض + +767 +00:56:35,980 --> 00:56:38,820 +وماعندهش معلومات كتيرة يقول هدول كيف متصنين + +768 +00:56:38,820 --> 00:56:41,100 +التلاتة؟ خليهم متلاكم القوامات مش متصنين على + +769 +00:56:41,100 --> 00:56:44,810 +التواليالـ R equivalent في التوالي مش R واحد زي R + +770 +00:56:44,810 --> 00:56:48,290 +اتنين زي R تلاتة انت جولي انت تفهم هذي R هذي انت + +771 +00:56:48,290 --> 00:56:52,810 +محطتهاش R اشولا محطتها تحط XL و هذي XC المنطق يقول + +772 +00:56:52,810 --> 00:56:57,150 +R زي XL زي XC مش هيك المنطق لكن بما انه عشاننا + +773 +00:56:57,150 --> 00:57:01,450 +نتعامل مع AC circuits الجمع بصحش هيك لأن زي جمع ال + +774 +00:57:01,450 --> 00:57:06,930 +vectors بينفعش 4 زي 3 يصي 7 دائما ممكن 4 زي 3 يصي + +775 +00:57:06,930 --> 00:57:12,970 +5 وبالتالي الـ R equivalent هنابتسويش R زي XL زي + +776 +00:57:12,970 --> 00:57:19,870 +XC بديك تتعامل معها بشوية دقة + +777 +00:57:19,870 --> 00:57:24,590 +وملاحظات كتير تاخدها في الإعتبار ان هل هدول مع بعض + +778 +00:57:24,590 --> 00:57:29,870 +ولا عكس بعد ولا إيش الزاوية طيب لما كانت R لحالها + +779 +00:57:30,920 --> 00:57:35,360 +كانوا مع بعض لما كانت هذه لحالها كان التيار بتأخر + +780 +00:57:35,360 --> 00:57:39,180 +لما كانت هذه لحالها التيار صار يتقدم طب لما كانت + +781 +00:57:39,180 --> 00:57:42,680 +تلاتة مع بعض كيف بتصير؟ مع بعض ولا بده يتقدم ولا + +782 +00:57:42,680 --> 00:57:48,720 +بده يتأخر مع بعض لأ بده يتقدم أو يتأخر ماعرفش لو + +783 +00:57:48,720 --> 00:57:54,320 +هذه كانت كبيرة إذا التيار بده يتأخرلأنه ايش؟ بصي + +784 +00:57:54,320 --> 00:57:58,180 +الصفاتها هي الغالبة، لو هذه كبيرة، معناته صفاتها + +785 +00:57:58,180 --> 00:58:02,020 +هي الغالبة، وصفاتها الطيار بتقدم، لما يكون التلاتة + +786 +00:58:02,020 --> 00:58:05,520 +مع بعض، بيقولوا لا بده يتأخر، لا بده يتقدم، مقدش + +787 +00:58:05,520 --> 00:58:08,920 +يتزاوي، الله أعلم، طبعا قطعا مش 90 درجة، صح ولا + +788 +00:58:08,920 --> 00:58:13,840 +لا؟ اربعين، خمسة واربعين، تلاتين، حسب القيماذا + +789 +00:58:13,840 --> 00:58:18,300 +حتطلع عندي اعلى قيمة للتيار والجهود بدي اجيب علاقة + +790 +00:58:18,300 --> 00:58:22,500 +ما بين فرق الجهود هنا لهنا والتيار اللي مارر الان + +791 +00:58:22,500 --> 00:58:26,720 +مبدأ التوالي والتوازي بيتغيرش التلاتة كم بتوصيل + +792 +00:58:26,720 --> 00:58:32,100 +على دول؟ الشوة الثابت بينهمالتيار بقدر اقول تيار + +793 +00:58:32,100 --> 00:58:36,240 +هادي وتيار هادي وتيار هادي واحد صح اذا بقدر اقول + +794 +00:58:36,240 --> 00:58:40,080 +هذه الكلام لان هو اصلا جالي series RLC circuit RLC + +795 +00:58:40,080 --> 00:58:43,600 +circuit جاية من ال R والL والC جالي اشتغل طبعا + +796 +00:58:43,600 --> 00:58:46,700 +هنشتغلها المرة الجاية ونشتغلها أحكاية ال vectors + +797 +00:58:46,700 --> 00:58:48,880 +ونجيب العلاقة اللي بدنا إياها ونعطيكوا العافية + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI.srt new file mode 100644 index 0000000000000000000000000000000000000000..76d55a9c8cf08b86ae86a4cdcd7229fa65b282db --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI.srt @@ -0,0 +1,2782 @@ +1 +00:00:10,180 --> 00:00:15,500 +بسم الله الرحمن الرحيم نكمل الأمثلة التي كانت على + +2 +00:00:15,500 --> 00:00:19,880 +ال continuous charge distribution اتفقنا عشان نجيب + +3 +00:00:19,880 --> 00:00:23,360 +شدة المجال الكهربائي for continuous charge + +4 +00:00:23,360 --> 00:00:26,940 +distribution we have to divide the distribution + +5 +00:00:26,940 --> 00:00:32,150 +into small elements ثم نجد المجال الكهربائي بسبب + +6 +00:00:32,150 --> 00:00:36,310 +واحدة من هذه المجالات وبعد ذلك نجمع على جميع + +7 +00:00:36,310 --> 00:00:37,050 +المجالات التي تجمع على المجالات التي تجمع على + +8 +00:00:37,050 --> 00:00:37,230 +المجالات التي تجمع على المجالات التي تجمع على + +9 +00:00:37,230 --> 00:00:38,790 +المجالات التي تجمع على المجالات التي تجمع على + +10 +00:00:38,790 --> 00:00:41,910 +المجالات التي تجمع على المجالات التي تجمع على + +11 +00:00:41,910 --> 00:00:44,870 +المجالات التي تجمع على المجالات التي تجمع على + +12 +00:00:44,870 --> 00:00:46,790 +المجالات التي تجمع على المجالات التي تجمع على + +13 +00:00:46,790 --> 00:00:47,410 +المجالات التي تجمع على المجالات التي تجمع على + +14 +00:00:47,410 --> 00:00:51,630 +المجالات التي تجمع على المجالات التي تجمع على + +15 +00:00:51,630 --> 00:00:54,950 +المجالات التي تجمع + +16 +00:00:57,290 --> 00:01:01,490 +A ring of radius capital R has a uniform charge + +17 +00:01:01,490 --> 00:01:05,830 +distribution of magnitude capital Q. Calculate the + +18 +00:01:05,830 --> 00:01:09,030 +electric field along the axis of the ring at a + +19 +00:01:09,030 --> 00:01:12,450 +point P lying a distance capital D from the center + +20 +00:01:12,450 --> 00:01:16,710 +of the ring يعني هاي ال ring شباب هذه كلها مشحونة + +21 +00:01:16,710 --> 00:01:21,930 +كل المنطقة الزرقاء مليانة شحنات طبعا هذه ring دائرة + +22 +00:01:21,930 --> 00:01:27,040 +بس محطوبة عشان هيك محطوبة واضح تمام؟ أيش المطلوب؟ + +23 +00:01:27,040 --> 00:01:30,040 +بيقول لي اوجد شدة نصف قطرها capital R زي ما همّ مدينينا + +24 +00:01:30,040 --> 00:01:33,560 +بده شدة المجال الكهربائي عند نقطة P وهذه النقطة P + +25 +00:01:33,560 --> 00:01:37,540 +بتبعد مسافة D عن ال center تبع ال ring إذا دائما + +26 +00:01:37,540 --> 00:01:41,360 +زي ما اتفقنا احنا مع بعض أنه وين بده المجال + +27 +00:01:41,360 --> 00:01:45,260 +الكهربائي يحدد لك ويعطيك هنا بيقول لك find the + +28 +00:01:45,260 --> 00:01:48,740 +electric field at a point P و ال point P along the + +29 +00:01:48,740 --> 00:01:52,220 +axis of the ring and a distance capital D from the + +30 +00:01:52,220 --> 00:01:57,330 +center of the ringالشيء الخطوة اتفقنا عليها أول حاجة + +31 +00:01:57,330 --> 00:01:59,970 +ايش بدي أسوي في الـ charge distribution؟ بدي أقسمه + +32 +00:01:59,970 --> 00:02:04,790 +لعناصر و بدي اختار عنصر تمام؟ إذا لو جينا نقول ال + +33 +00:02:04,790 --> 00:02:09,170 +solution again we divide the ring into small + +34 +00:02:09,170 --> 00:02:13,430 +elements each of its charge dq وهذا برضه أخذناه + +35 +00:02:13,430 --> 00:02:18,130 +أن ال charge لأي عنصر لازم يكون dq هذه .. هذه عنصر + +36 +00:02:18,130 --> 00:02:22,090 +شايفينه يا شباب؟ الأحمر هذا عنصر واحد من هذه + +37 +00:02:22,090 --> 00:02:26,820 +العناصر الكثيرة الخطوة التالية بدي أجيب مجال هذا + +38 +00:02:26,820 --> 00:02:30,940 +العنصر العنصر is a point مش ممكن أعتبره point ولا + +39 +00:02:30,940 --> 00:02:36,200 +لا في عندي قانون لل point بيقول E بيساوي KQ على R² + +40 +00:02:36,200 --> 00:02:39,900 +مظبوط؟ إذا عشان أجيب شدة المجال بدي أجيب ال + +41 +00:02:39,900 --> 00:02:42,500 +direction تبعه على اعتبار أنه positive برضه ال + +42 +00:02:42,500 --> 00:02:46,480 +positive الاتجاه كيف بتعامل معاه؟ out يعني كيف + +43 +00:02:46,480 --> 00:02:51,170 +تتوقع شدة المجال يكون؟ من الشحنة اللي هو العنصر + +44 +00:02:51,170 --> 00:02:54,510 +اللي أحمر و بروح على ال point و بطلع مش بيكون هيك + +45 +00:02:54,510 --> 00:03:00,410 +هذه DQ هذه الخط الأخضر ولا لأ؟ في إشكالية؟ هدف + +46 +00:03:00,410 --> 00:03:05,770 +IDE طب تمام الآن بدي أطبق القانون القانون ايش + +47 +00:03:05,770 --> 00:03:09,110 +بيقول K + +48 +00:03:09,890 --> 00:03:14,850 +بدل كيو حطيت دي كيو لأن دي كيو هي شحنة العنصر على + +49 +00:03:14,850 --> 00:03:19,410 +R² وين R²؟ شايفينها وين؟ مش هيك بقدر أجيبها من في + +50 +00:03:19,410 --> 00:03:23,730 +فورس بقدر أجيبها بالضبط capital R تربيع + + +51 +00:03:23,730 --> 00:03:27,710 +capital D تربيع تحت الجذر تطلع عندي small r سهلة + +52 +00:03:28,350 --> 00:03:32,050 +الخطوة التالية بيقول لي كامل بس كامل مع كامل حط لي + +53 +00:03:32,050 --> 00:03:36,050 +ملاحظة أنت بتتعامل مع vectors بدك تنتبه إذا كل + +54 +00:03:36,050 --> 00:03:39,610 +العناصر لديهم نفس الاتجاه كامل وإلا بدك تأخذ فعلياً + +55 +00:03:39,610 --> 00:03:43,670 +اعتبار أنه كله مركبة على حدّه صح ولا لأ أفلّتكم كمان + +56 +00:03:43,670 --> 00:03:46,510 +مرة ونصف الدقيقة وكل واحد يتخيل عنصر غير عنصر اللي + +57 +00:03:46,510 --> 00:03:52,110 +أخذته أنا وشوف اتجاه المجال تبعه بيختلف ولا مختلفش؟ + +58 +00:03:52,110 --> 00:03:57,150 +بيختلف لأن لو أنا جبت عنصر شباب همّ مش بده يتصحصح + +59 +00:03:59,740 --> 00:04:04,720 +بالنسبة لها إذا اتجاهات عاملة بتتغير بنفع أجمع + +60 +00:04:04,720 --> 00:04:08,680 +ثلاثة I و خمسة J وأقول عليهم ثمانية لأ إذا أيه + +61 +00:04:08,680 --> 00:04:14,180 +بساوي قال حلل كل مركب على حدّه اشتغل مظبوط ولا لأ دام + +62 +00:04:14,180 --> 00:04:17,360 +إذا حكالي هنا هذا المجال اللي عملت فيه في غورس + +63 +00:04:17,360 --> 00:04:20,400 +أنا ما أنتو عارفينها هذه ما فيش فيها مشكلة بيقول لي + +64 +00:04:20,400 --> 00:04:23,500 +because of the symmetry قال لي عندك في شغل حلو الآن + +65 +00:04:23,500 --> 00:04:29,090 +أن المحور السيني هذا شايفينه بيقسم ال ring إلى جسمين + +66 +00:04:29,090 --> 00:04:32,790 +متساويين ولا لأ؟ واحد علوي واحد سفلي؟ صح ولا لأ؟ + +67 +00:04:32,790 --> 00:04:35,730 +في symmetry بسمّيها يعني في عندي تماثل ما بين + +68 +00:04:35,730 --> 00:04:39,570 +المنطقة العلوية والمنطقة السفلية ايش يعني؟ لو فوق + +69 +00:04:39,570 --> 00:04:42,770 +في عندي مليون عنصر تحتها كم عنصر لازم يكون؟ مليون صح + +70 +00:04:42,770 --> 00:04:47,790 +ولا لأ؟ طيب ابدأ اعمل test أنت بين كل عنصر فوق و + +71 +00:04:47,790 --> 00:04:50,230 +ايش بيقابله تحت بيقول because of the symmetry + +72 +00:04:50,230 --> 00:04:58,580 +above the x axis We should note that هناك + +73 +00:04:58,580 --> 00:05:02,040 +عنصر + +74 +00:05:02,040 --> 00:05:08,100 +مشابه ومناظر تحت لازم يكون below the x-axis which + +75 +00:05:08,100 --> 00:05:11,420 +is also located a distance r from P وبتكون برضه + +76 +00:05:11,420 --> 00:05:17,240 +على نفس البعد r خليني أختار عنصر ثاني .. هاي عنصر + +77 +00:05:17,240 --> 00:05:20,400 +ثاني .. هذا العنصر مش بناظر اللي فوق .. لو جيتك + +78 +00:05:20,400 --> 00:05:23,080 +جيّته هذه مسافة مش بده تكون برضه R .. نفس الـ R + +79 +00:05:23,080 --> 00:05:28,500 +فوق .. طلعت directions .. زي بعيد .. مش عكس هنا .. + +80 +00:05:28,500 --> 00:05:33,310 +ففيهم عن بعيد .. مفهوم .. كل حلل .. حلّله .. مظبوط + +81 +00:05:33,310 --> 00:05:35,970 +ولا لأ؟ بنحلّله ونشوف .. اجمع المركبات السينية + +82 +00:05:35,970 --> 00:05:39,110 +لحال والمراكبات الصادية لحال و بتريح عليك .. تمام + +83 +00:05:39,110 --> 00:05:42,690 +.. هذه الـ dE .. نرجع هنا .. بيقول .. this element + +84 +00:05:42,690 --> 00:05:46,870 +اللي هو التحتاني produces an equal field .. برضه + +85 +00:05:46,870 --> 00:05:50,790 +dE .. but differing in direction .. نفس الـ dE لأنه + +86 +00:05:50,790 --> 00:05:53,750 +نفس العنصر ونفس المسافة .. لكن ال direction مختلف + +87 +00:05:53,750 --> 00:05:58,360 +.. جالي عشان أشرة بدي أحلّله .. أحلّه .. بيقول اشون + +88 +00:05:58,360 --> 00:06:03,000 +in the figure خلينا نحلّل بعدين شايفين الفجانية كيف + +89 +00:06:03,000 --> 00:06:07,440 +اتحللت ملاحظين واحدة positive scene والتانية + +90 +00:06:07,440 --> 00:06:13,000 +positive صار التحللية كيف بدأت تحلل أيه + +91 +00:06:13,000 --> 00:06:17,310 +صار في الصاديّة بقى لغوا بعض ولا ما لغوش بعض لأنهم + +92 +00:06:17,310 --> 00:06:22,030 +equal و opposite in direction إذا مجموعهم zero + +93 +00:06:22,030 --> 00:06:25,370 +بيقول I shown in the figure the vertical + +94 +00:06:25,370 --> 00:06:30,030 +components of these two fields cancel one another صح + +95 +00:06:30,030 --> 00:06:33,510 +ولا لأ؟ and this will be true for each such pair + +96 +00:06:33,510 --> 00:06:37,910 +of elements وهذه سينطبق على كل زوج متناظر واحد فوق + +97 +00:06:37,910 --> 00:06:41,730 +واحد تحت أيش احنا فوق مركبتها الصادية حتلاقي + +98 +00:06:41,730 --> 00:06:48,930 +تلغيها مركبتها الصادية أي عنصر فجاني حتلاقي عنصر + +99 +00:06:48,930 --> 00:06:54,530 +مناظر له تحت مركبتين صاديتين يلغوا بعض بالتالي + +100 +00:06:54,530 --> 00:06:57,570 +في الآخر وأنت بتجمع بيضل عندك مركبات صادية؟ بيضلش + +101 +00:06:57,570 --> 00:07:01,370 +عندك ولا مركبة صادية السيني عكس بعض ولا مع بعض؟ + +102 +00:07:01,370 --> 00:07:04,390 +مع بعض، إذا بنجمع، اجمع السيني ما فيش مشكلة كامل + +103 +00:07:04,390 --> 00:07:08,540 +للـ سيني إذن الآن بيقول لك كامل السيني فقط ما ضلش عندك + +104 +00:07:08,540 --> 00:07:10,920 +ولا مركبة صادية إذا المشكلة في ال direction أنا + +105 +00:07:10,920 --> 00:07:15,480 +حليتُ الصادي راح وظلّ عندي السيني هو أصلاً حكالي إنّ + +106 +00:07:15,480 --> 00:07:19,240 +السيني ممكن يتكامل وما فيش أي إشكالية مظبوط ولا لأ؟ + +107 +00:07:19,240 --> 00:07:23,700 +تمام إذا أنا صفيت بس بدي أكامل المراكبات السينية + +108 +00:07:23,700 --> 00:07:27,800 +هالصادي راح وظل عندي بس المراكبات السينية هي اللي + +109 +00:07:27,800 --> 00:07:30,400 +بدي أتمّ جمعها الآن أنا بدي أركز على المركبة + +110 +00:07:30,400 --> 00:07:34,420 +السينية شباب الصادي راح أمنّه؟ ما فيش عندي مراكبات + +111 +00:07:34,420 --> 00:07:39,880 +صادية بالتالي، مجموع الهواتف الكاملة هي مجموعة من + +112 +00:07:39,880 --> 00:07:45,620 +الـ X- Components فقط المراكبات السينية من dE التي + +113 +00:07:45,620 --> 00:07:48,100 +تم إعطاؤنا إياها كيف بدي أجيب المركبة السينية؟ هل في + +114 +00:07:48,100 --> 00:07:51,600 +حد ضايع اللي ما يعرفش يحلّل؟ دي إي كوسين الفيتا + +115 +00:07:51,600 --> 00:07:56,660 +والفيتا هيها الزاوية خليني أجيبها دي إي كوسين + +116 +00:07:56,660 --> 00:08:01,320 +الفيتا وهي فيتا صح ولا لأ؟ هي فيتا طيب فيتا هادي، + +117 +00:08:01,320 --> 00:08:08,630 +بتساويش هادي؟ طيب هذه ما هي نفسها دي وهي نفسها دي + +118 +00:08:08,630 --> 00:08:12,350 +صحيح؟ كلهم نفس الزوايا لأنه مثلث مثلث قائم أصلاً + +119 +00:08:12,350 --> 00:08:17,510 +تمام فيتا عرفتها وكوسين الفيتا بيساوي مجاور على وتر + +120 +00:08:17,510 --> 00:08:21,790 +المجاور capital D والوتر small r اللي هو جذر + +121 +00:08:21,790 --> 00:08:25,690 +التربيع اللي هو D square plus capital R square صح ولا + +122 +00:08:25,690 --> 00:08:29,130 +لأ؟ إذا أنا عرفت قديش هذه قديش أوجدنا أنا وياكم + +123 +00:08:29,130 --> 00:08:33,950 +كوسين الفيتا قديش بيساوي؟ قولنا كوسين الفيتا + +124 +00:08:37,500 --> 00:08:41,380 +D على R صح ولا لأ؟ كوسين في كتاب السواق مجرد + +125 +00:08:41,380 --> 00:08:47,860 +وتر والـ dE طبعاً طلعت أنا وياكم إذا صار الجواب KDQ + +126 +00:08:47,860 --> 00:08:53,280 +كان في R square وهنا في R صار R تكعيب R تكعيب من + +127 +00:08:53,280 --> 00:08:56,780 +في الجذر بيساوي capital R تربيع plus D تربيع جذر + +128 +00:08:56,780 --> 00:09:02,580 +التلاتة على اثنين تمام هي dE × لأ بيقول كامل في مشكلة + +129 +00:09:02,580 --> 00:09:06,420 +في التكامل لأ لأن أنا بتعامل مع مركبة سينية و + +130 +00:09:06,420 --> 00:09:08,900 +المركبة السينية ما زالت سينية بتكاملها بدون أي + +131 +00:09:08,900 --> 00:09:12,300 +إشكالية بتشبع أنت جامع عادي scalars خمسة I وثلاثة + +132 +00:09:12,300 --> 00:09:15,540 +I ثمانية أه ما فيش مشكلة صحيح ولا لأ إذا المدارس + +133 +00:09:15,540 --> 00:09:19,500 +اللي جالي هنا dE × كامل ما فيش أي مشكلة عشان أكامل + +134 +00:09:19,500 --> 00:09:23,100 +مش بتطلع ثوابتي الثوابت تطلع برضه للتكامل صح ولا + +135 +00:09:23,100 --> 00:09:29,620 +لأ K ثابت ما فيش خلاف عليها طيب وأنت بتغير في العناصر + +136 +00:09:29,620 --> 00:09:34,200 +capital D بتتغير من عنصر لعنصر؟ لأ طيب و capital R + +137 +00:09:34,200 --> 00:09:38,520 +هذه من نص قطر بتتغير؟ لأ إذا أنا عندي capital D + +138 +00:09:38,520 --> 00:09:43,640 +ثابتة و capital R ثابتة و K أصلاً ثابتة بتطلعش + +139 +00:09:43,640 --> 00:09:47,400 +براه K راحت و D طلعت بره والمقام كله طلع بره + +140 +00:09:47,400 --> 00:09:53,840 +أدخل جوا دي Q بالضبط جميلة Lambda لأ لما دي عشان ما + +141 +00:09:53,840 --> 00:09:57,620 +كنت أعرف أكامل هنا لما دي ما بتزعلنيش ايش تكامل ال + +142 +00:09:57,620 --> 00:10:02,780 +dQ شباب أو تكامل ال dQ هي الشحنة الكلية ولا لأ + +143 +00:10:02,780 --> 00:10:06,580 +الشحنة الكلية ايش قال له قالوا بيساوي كمية ال dQ + +144 +00:10:06,580 --> 00:10:10,940 +هو في الآخر تمام بيقول لي الآن integrating this + +145 +00:10:10,940 --> 00:10:14,840 +expression we get طلعت كل ال dQ اتفقنا هو الشحنة + +146 +00:10:14,840 --> 00:10:18,520 +الكلية طبعاً في ال calculus التكامل dQ small المفروض + +147 +00:10:18,520 --> 00:10:21,240 +تكون Q small لكن بما أنه احنا عارفين في ال physics + +148 +00:10:21,240 --> 00:10:26,880 +أن تكامل dQ is the sum of Q's وال sum of Q's هي + +149 +00:10:26,880 --> 00:10:31,360 +given capital Q بصحي اللي حطّها capital Q أو بالم + +150 +00:10:31,360 --> 00:10:34,300 +القلب قلّص بيقول عشان نحلّ هالمشكلة بتدوش وبتشحن + +151 +00:10:34,300 --> 00:10:36,740 +التكامل فيه زي تكامل القلب قلّص بيقولها دي سهلة + +152 +00:10:36,740 --> 00:10:43,100 +بعد ما تعمل هيك حكم صفر لكابيتال Q صح ما هي أصغر Q + +153 +00:10:43,100 --> 00:10:46,620 +زي تقريباً 0 وأكبر Q وهي كبيرة الكيو لما تيجي + +154 +00:10:46,620 --> 00:10:52,020 +تعملها استطلع حلت المشكلة تمام طبعاً هذه مش ضروري + +155 +00:10:52,020 --> 00:10:53,440 +أعملها لكن أنا عارف أنه والله + +156 +00:10:53,440 --> 00:10:56,740 +هااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااا + +157 +00:11:07,980 --> 00:11:12,220 +هي capital Q صح ولا لأ؟ مفهومة لأن أنا بعمل sum و + +158 +00:11:12,220 --> 00:11:17,880 +احنا فهمنا خلاص انتهى السؤال EX وهي equal هي + +159 +00:11:17,880 --> 00:11:21,880 +خلصوا الجواب بدّوا نحفظه؟ لأ نتيجتك مثال مش مقلوب أن + +160 +00:11:21,880 --> 00:11:27,940 +نحفظه مثاله خالص في المثال السابق قلت لو الـ rod + +161 +00:11:27,940 --> 00:11:32,120 +بعد تعامله صارّ نقطة عند المجال التشفيعي إذا + +162 +00:11:32,120 --> 00:11:36,500 +كنتوا ذاكرين ال road بصير point طيب هو ال ring لو + +163 +00:11:36,500 --> 00:11:41,320 +بعدت بتهاش ال point بتهاش ال point نفس العملية اللي + +164 +00:11:41,320 --> 00:11:45,600 +بتنطبق يلا نجربها وكتش ال ring بتصير point في + +165 +00:11:45,600 --> 00:11:50,260 +حالتين شباب لما نُسقط نصف القطر الصغير صح ولا لأ أو أنا + +166 +00:11:50,260 --> 00:11:55,530 +بعيد عنها مظبوط ولا لأ خليني احنا نحكي عن هذه + +167 +00:11:55,530 --> 00:12:02,810 +again for the limiting case D أكثر كتير من R في + +168 +00:12:02,810 --> 00:12:06,210 +الحالتين لما R تقول إلى الـ 0 المقام بيبقى لديه + +169 +00:12:06,210 --> 00:12:10,370 +تربيع تحت صح؟ أو لما D تكون كبيرة حتى لو R من + +170 +00:12:10,370 --> 00:12:13,410 +الصفر برضه روحها R بصير وكان عندي مليون دينار ودينار + +171 +00:12:13,410 --> 00:12:17,290 +صحيح ولا لأ؟ إذا لما D تكون أكثر كتير من R + +172 +00:12:17,290 --> 00:12:21,050 +إمّا R صغيرة قريبة للصفر أو هي ثانية ملي ولا تلاتة + +173 +00:12:21,050 --> 00:12:22,050 +ملي و D + +174 +00:1 + +201 +00:14:18,420 --> 00:14:23,960 +خليني أعمل تجهيزنا هاي النقطة عندي هاي عنصرية كيف + +202 +00:14:23,960 --> 00:14:28,460 +اتجاه المجال اللي هتلاقيه صح طب من هذا الانصار + +203 +00:14:28,460 --> 00:14:35,440 +اجمعوهم شباب ضل المركبات الصينية ولا الصينية طيب + +204 +00:14:35,440 --> 00:14:41,780 +هاي عنصر و هاي مذابة هذا هاي مجاله و هذا هاي مجاله + +205 +00:14:41,780 --> 00:14:47,880 +جد إيه؟ برضه روح هاي عنصر و هاي عنصر هذا هيك و هذا + +206 +00:14:47,880 --> 00:14:52,850 +هيك جد إيه؟ إذا في الـ center of symmetry بيقول لي + +207 +00:14:52,850 --> 00:14:57,290 +ما ضارناش ولا مركبة إذا المنطقة يطلع zero عوضه تطلع + +208 +00:14:57,290 --> 00:15:01,270 +zero إذا الجواب الصحيح هو منطقة في الأول and الـ + +209 +00:15:01,270 --> 00:15:05,270 +center zero because of the symmetry about the y + +210 +00:15:05,270 --> 00:15:09,150 +axis and about the x axis وبالتالي about the y + +211 +00:15:09,150 --> 00:15:13,190 +axis The x component cancel and about the x axis, + +212 +00:15:13,330 --> 00:15:16,470 +the y components cancel، وما ضلش عندي ولا component، + +213 +00:15:16,470 --> 00:15:19,870 +وبالتالي، المنطقة يكون الـ Total electric field at + +214 +00:15:19,870 --> 00:15:23,230 +the center equal to zero، وهذا اللي طلع معايا، لما + +215 +00:15:23,230 --> 00:15:25,890 +جيت عوضت في شكل الجواب، خُضّي بالصفر، صفر، طلع + +216 +00:15:25,890 --> 00:15:28,710 +الصفر، بقول آه صح، إذا أنا جوابي هذا بالدين + +217 +00:15:28,710 --> 00:15:33,050 +المنطق، لما ابعدت، أداني قانون الـ point، ولما + +218 +00:15:33,050 --> 00:15:35,150 +روحت على الـ center، أداني الـ zero، وهذا المنطق، و + +219 +00:15:35,150 --> 00:15:41,090 +لازم يكون هيك، واضح شباب؟ تمام؟ إذا عرفنا ليش zero + +220 +00:15:41,090 --> 00:15:47,590 +وعملنا comment عليه كمان مثال بيقول الآن شباب a + +221 +00:15:47,590 --> 00:15:55,010 +disk هرجيت الـ ring أمانا هيك رسمتها في + +222 +00:15:55,010 --> 00:16:00,540 +الـ ring انسوا الـ disk في شحنات هنا؟ لأنها ring الـ + +223 +00:16:00,540 --> 00:16:04,080 +ring من جوا فاضية جوفًا الشحنات وين كانت؟ على محيطه + +224 +00:16:04,080 --> 00:16:09,040 +بس إيش أفرق الـ disk عن الـ ring؟ كله مشهور مصمت من + +225 +00:16:09,040 --> 00:16:13,400 +جوا هنا بقول لي a disk of radius capital R has + +226 +00:16:13,400 --> 00:16:17,080 +uniform charge density sigma sigma يعني الشحنات + +227 +00:16:17,080 --> 00:16:21,840 +موزعة على سطح هنا كانت موزعة على خرف على محيط و + +228 +00:16:21,840 --> 00:16:26,930 +المحيط ويحدثوا متر ولا متر تربيع؟ متر لأن one + +229 +00:16:26,930 --> 00:16:30,890 +dimension المحيط أما الـ disk أداني two dimensions + +230 +00:16:30,890 --> 00:16:36,070 +يعني area والـ area lambda ولا sigma طيب أعطيني + +231 +00:16:36,070 --> 00:16:39,410 +sigma و uniform charge density بيقول عشان لما تكامل + +232 +00:16:39,410 --> 00:16:42,150 +تطلع حبار التكامل sigma مظبوط ولا لا مشكلة + +233 +00:16:42,150 --> 00:16:44,190 +اتفقناها لما يكون الـ charge is uniformly + +234 +00:16:44,190 --> 00:16:47,930 +distributed بتكون الـ charge density constant تمام + +235 +00:16:49,190 --> 00:16:52,570 +Calculate the electric field along the x-axis of + +236 +00:16:52,570 --> 00:16:56,170 +the disk at a point P lying a distance capital D + +237 +00:16:56,170 --> 00:16:57,930 +from the center of the disk يعني هاي الـ disk + +238 +00:16:57,930 --> 00:17:02,770 +شايفين؟ كل المنطقة الملونة فيها شحنات حلو؟ نسقط ركب + +239 +00:17:02,770 --> 00:17:05,810 +تلقاء أو Uniform بدي شدة المجال عند النقطة هديك + +240 +00:17:05,810 --> 00:17:10,130 +اللي بتبعد مسافة d برضه تمام خطوات معروفة بدي + +241 +00:17:10,130 --> 00:17:15,070 +أقسمها لـ عناصر صح ولا لأ؟ وبعدين أجيب شدة المجال + +242 +00:17:15,070 --> 00:17:18,630 +الكهربائي لأحد العناصر اللي بدي اختارها في + +243 +00:17:18,630 --> 00:17:22,890 +المثالين السابقين أخدت point واشتغلت ليش أخدت point + +244 +00:17:22,890 --> 00:17:26,010 +لأنه في قانون للـ point صح ولا لأ؟ المنطق هنا بدي + +245 +00:17:26,010 --> 00:17:30,210 +آخذ point المفروض إن آخذ point إيش بحكي هنا و + +246 +00:17:30,210 --> 00:17:34,880 +بعدين بنعلق solutionهنا نقوم بانقلاع الكتابة إلى + +247 +00:17:34,880 --> 00:17:39,820 +حلقات صغيرة إيه ما آخدش points آخد rings each of + +248 +00:17:39,820 --> 00:17:42,860 +thickness dr and charge dq وكتب لي واحد ما أخد + +249 +00:17:42,860 --> 00:17:45,740 +points ليش ما أخدتش points؟ هي عبارة عن حلقات مفهومة + +250 +00:17:45,740 --> 00:17:49,900 +هي حلقات مفهومة هجيب أنا أديكم شغلة هذه لو + +251 +00:17:49,900 --> 00:17:56,220 +ديكت لكم أنا عشرين ring وكل ring نسقطها أكثر من + +252 +00:17:56,220 --> 00:18:00,080 +التانية بشوية وحطتهم جوا بعد بصيروا disk ولا + +253 +00:18:00,080 --> 00:18:04,020 +بصيروا disk إذا بقدر أقول إن الـ disk عبارة عن many + +254 +00:18:04,020 --> 00:18:08,880 +rings صح؟ إذا الـ ring جزء من disk إذا العنصر من + +255 +00:18:08,880 --> 00:18:13,440 +disk أمان طب ليش ما أخدش point؟ بقول عشان آخذ point + +256 +00:18:13,440 --> 00:18:17,140 +نشوف إيش بإن أنا آخذ point هذا اللوح مساحة ولا + +257 +00:18:17,140 --> 00:18:22,500 +طول؟ مساحة بدي آخذ عنصر منه مجتح هو المربعات + +258 +00:18:22,500 --> 00:18:27,280 +الصغيرة عارفين؟ كل مربع عنصر ولا مش عنصر خليني + +259 +00:18:27,280 --> 00:18:32,220 +أعرف كبير المربع هاي عنصر هو عنصر ولا مش عنصر طيب + +260 +00:18:32,220 --> 00:18:37,880 +ارجع كمان دايمًا أنا بحكي عنكم كون بوردجان حطيتوا + +261 +00:18:37,880 --> 00:18:41,280 +يدكم وطلعتوا بتطلعوا خيارة ولا بوردجان؟ بوردجان + +262 +00:18:41,280 --> 00:18:47,400 +يعني العنصر بيكون من جنس الـ كل صح؟ لما تكون الـ كل + +263 +00:18:47,400 --> 00:18:50,460 +مساحة، العنصر مش بتكون طول ولا مساحة، قصده تكون + +264 +00:18:50,460 --> 00:18:56,180 +مساحة، المساحة كان بدي لشباب، بعدين، معناته هنا، + +265 +00:18:56,180 --> 00:19:01,200 +بتقول هنا في عندك dx و dy، ولما تيجي تشتغل في + +266 +00:19:01,200 --> 00:19:06,460 +التكامل، هيطلع معاك حاجة زي هيك، وهنا في إشي، حد + +267 +00:19:06,460 --> 00:19:09,020 +يسموه double integration، والـ double integration + +268 +00:19:09,020 --> 00:19:12,980 +عنكم سمعت فيه؟ ما عرفوش مصروا أنا ما كانوا يعرفوش + +269 +00:19:12,980 --> 00:19:17,540 +بالتالي هو أنا آخذ point أسهل ولا أصعب على حالي؟ + +270 +00:19:17,540 --> 00:19:23,220 +ما بدي أسهل فهمه ما هي هو أصحى كان قال لي خد عنصر + +271 +00:19:23,220 --> 00:19:28,140 +شرطه الوحيد إن مجاله يكون معروف مش هي الشرط أنا + +272 +00:19:28,140 --> 00:19:31,840 +بجيب عنصر الخطوة التالية بقول لي اوجد مجال للعنصر الـ + +273 +00:19:31,840 --> 00:19:36,090 +point كنت متعلق فيه لأنه فيه قانون للـ point اللي + +274 +00:19:36,090 --> 00:19:38,290 +فيه قانون للـ point بس بدي أحط القانون اللي أتصور + +275 +00:19:38,290 --> 00:19:42,110 +على جنبه ما أنا بدي أكلمه في الآخر وبدي أشتغل الـ + +276 +00:19:42,110 --> 00:19:45,210 +point جبته جبت قانونه وما فرحت عليه جيك ده كامل + +277 +00:19:45,210 --> 00:19:48,910 +ما بعرفش أكامل بلاش ما أداني إياه قال لي طيب يا الـ ring + +278 +00:19:48,910 --> 00:19:54,030 +مش أنت توي جبت شدة المجال للـ ring بإمكانك تشحطه + +279 +00:19:54,030 --> 00:19:57,150 +اجلب صفحة بتلاقي جواب الـ ring ما ... ما ... ما جبتكاش + +280 +00:19:57,150 --> 00:20:00,650 +تحفظه بلاش أنا مديك إياه وهو موجود في الكتب إذا + +281 +00:20:00,650 --> 00:20:04,030 +قال لي خد الـ ring الـ ring بسهل عليك كثير إذا أنا + +282 +00:20:04,030 --> 00:20:09,650 +شارج من الـ point لأن الـ point leads to a double + +283 +00:20:09,650 --> 00:20:13,890 +integration بيقدملك لشغل اسمه double integration + +284 +00:20:13,890 --> 00:20:19,130 +التكامل ثنائي وهذا في مستوانة ما يعرفوش طبعًا في + +285 +00:20:19,130 --> 00:20:21,950 +المستويات المتقدمة حتعرفوه بقى ومصعب لكن الآخر + +286 +00:20:21,950 --> 00:20:25,210 +أنا مش شايفه كل حاجة يبقى رخيش تعتبر صعبة في سنة + +287 +00:20:25,210 --> 00:20:27,630 +تانية هتاخد double integration لأن احنا هذا المساق + +288 +00:20:27,630 --> 00:20:32,370 +في سنة أولى الـ double integration out of the scope + +289 +00:20:32,370 --> 00:20:36,370 +of this area وبالتالي ما بقدرش أنا أتعامل معاه فبدي + +290 +00:20:36,370 --> 00:20:41,670 +أروح أشوف شغلة ثانية تمام إذا أنا ما بديش الـ ... الـ + +291 +00:20:41,670 --> 00:20:47,690 +disk بدي الـ ring وأنا ... لأ وأنا ماشي ... نرجع ... + +292 +00:20:47,690 --> 00:20:48,510 +نرجع ... نرجع ... + +293 +00:20:51,870 --> 00:20:55,590 +إذا أنا عرفت ليش not points شباب؟ لأن الـ points + +294 +00:20:55,590 --> 00:20:59,030 +بتعطيني تكامل مزدوج double integration وبالتالي + +295 +00:20:59,030 --> 00:21:02,190 +ما بعرفش أحلله جاب لي بسيطة إذا أنا بدي آخذ ring + +296 +00:21:02,190 --> 00:21:06,090 +شايفين الـ ring هادي؟ هاي واحدة من الـ rings المكونة + +297 +00:21:06,090 --> 00:21:09,790 +للـ disk ولا لأ؟ هاي وأنا بدي عنصر واحد هاي عنصر + +298 +00:21:09,790 --> 00:21:14,310 +جاب لي شحنته dq ما جاب لي من أول كل عنصر شحنته dq + +299 +00:21:14,310 --> 00:21:22,290 +العنصر صغير ولا كبير؟ شحنته dq اتفقنا إن العنصر لابد + +300 +00:21:22,290 --> 00:21:25,490 +يكون من جنس الـ كل والـ كل مساحة إذا لازم العنصر يكون + +301 +00:21:25,490 --> 00:21:28,550 +مساحة الحمراء هذه كيف بدأت بمساحتها وكيف بدأت + +302 +00:21:28,550 --> 00:21:32,730 +تتعامل معها جاب لي طولها one dimension بدي كمان + +303 +00:21:32,730 --> 00:21:36,810 +dimension إليها جاب لي سمك سمك الـ dimension الثاني + +304 +00:21:36,810 --> 00:21:42,630 +نرجع للـ رد الـ رد إيش أخدت عنصر إيه نقطة point طيب + +305 +00:21:42,630 --> 00:21:48,590 +رياضياً الـ point كان dimension إليه zero هيك + +306 +00:21:48,590 --> 00:21:53,010 +عرفتوها الـ point ما لهاش dimensions القصر رياضي عن + +307 +00:21:53,010 --> 00:21:56,510 +الـ point zero dimension لها x ولها y ولها z صح + +308 +00:21:56,510 --> 00:22:00,190 +أو لأ؟ لكن لما أخدتها أنا عنصر من الـ رد اعتبرت طولها + +309 +00:22:00,190 --> 00:22:04,910 +dx ولا لأ؟ dx يعني صغير قلت dx تقول إلى zero عشان + +310 +00:22:04,910 --> 00:22:09,170 +كده قلت dx أنا أصلًا لأنه دايمًا dx إيش أفرقت أنا + +311 +00:22:09,170 --> 00:22:15,530 +حكيت لكم إياه في فيزياء 1000 إيش أفرقت dx عن dx هذه؟ + +312 +00:22:15,530 --> 00:22:21,870 +لما تقول إلى الـ 0 مش بتصير dx صحيح ولا لأ؟ إذن dx + +313 +00:22:21,870 --> 00:22:24,350 +دي ما زالت مشوفتها إذا تقول إلى الصفر، هي صغيرة + +314 +00:22:24,350 --> 00:22:29,410 +فلمّا قال لي، قال لي إن هي طول، بس هي تعتبر وكأنها + +315 +00:22:29,410 --> 00:22:34,530 +point لكن هي أصلها رد صغير، ولا لأ؟ هي الـ road، + +316 +00:22:34,530 --> 00:22:38,390 +أنا دي بيدور رد صغير، جزء منه، إذن الـ point بالرغم + +317 +00:22:38,390 --> 00:22:43,360 +إنه رياضياً without dimension أنا لما كانت جزء من + +318 +00:22:43,360 --> 00:22:47,580 +الـ رد اعتبرتها with one dimension ولكن الـ dimension + +319 +00:22:47,580 --> 00:22:51,480 +كان صغير يقول إلى صفر فاعتبرتها وكأنها point هنا + +320 +00:22:51,480 --> 00:22:54,840 +نفس العملية هذه الـ ring الحمراء شباب لابد أن يكون + +321 +00:22:54,840 --> 00:22:58,800 +لها two dimensions الـ dimension الأول هو محيطها + +322 +00:22:58,800 --> 00:23:02,380 +أمان متر ولا لأ؟ لازم يكون لها كمان dimension ثموكة + +323 +00:23:02,380 --> 00:23:09,970 +فالثموك تبعها حدّيه بالرمز dr dr تمام الآن بعد ما أخدت + +324 +00:23:09,970 --> 00:23:14,450 +العنصر بدي أجيب شدة مجال العنصر العنصر عندي point + +325 +00:23:14,450 --> 00:23:19,350 +ولا ring؟ ring طب وقانون الـ ring بدي أشحطه احنا + +326 +00:23:19,350 --> 00:23:24,850 +وياكم من المثال السابق بيقول لي from the result of + +327 +00:23:24,850 --> 00:23:28,130 +the previous example بيقول لي أشحطه جيبه أنت جايبه + +328 +00:23:28,130 --> 00:23:31,590 +أصلًا أنت اللي جايبه في المثال السابق قال لي e + +329 +00:23:31,590 --> 00:23:38,560 +بتساوي k capital Q وفي d أظنني على capital R + +330 +00:23:38,560 --> 00:23:43,500 +تربيع plus d تربيع يزلت ثلاثة على اثنين هيك الجواب + +331 +00:23:43,500 --> 00:23:48,760 +كان صح ولا لأ؟ طب ليش هتيجي نشوف هد كيكي لكل شي كيك + +332 +00:23:48,760 --> 00:23:52,600 +capital Q شحنة الـ ring كان زمان طب شحنة الـ ring + +333 +00:23:52,600 --> 00:23:57,080 +هنا إيش؟ يعني dq صح ولا لأ؟ تمام إذا هد dq بيجيء + +334 +00:23:57,080 --> 00:24:03,620 +تصير إيش؟ dq هد d ما غيرهاش خلاها d هذه نصف قطر + +335 +00:24:03,620 --> 00:24:06,200 +الـ ring ولا لأ؟ هي نصف قطر الـ ring الحمراء جديش + +336 +00:24:06,200 --> 00:24:12,360 +small r فجاب لي هذه لصي الـ small r صحيح حاطي جواب هي + +337 +00:24:12,360 --> 00:24:18,660 +طلعت تمام شباب إذا دي e مش e دي e الأهم عنصر + +338 +00:24:18,660 --> 00:24:22,940 +هذا جزء من المجاري الكهربائي جزء لأن المجاري + +339 +00:24:22,940 --> 00:24:25,200 +الكهربائي جاي من كل الـ disk مش من الـ ring واحدة + +340 +00:24:25,200 --> 00:24:31,680 +حول الـ de بيساوي k بدل الـ capital Q حطي الـ dq + +341 +00:24:31,680 --> 00:24:35,860 +لأن هذه شحنة الـ ring دي ضالة زي ما مديك إياها وفي المقام + +342 +00:24:35,860 --> 00:24:39,900 +r تربيع زي d تربيع الآن بقول كامل وقبل ما تكامل + +343 +00:24:39,900 --> 00:24:43,240 +اطلع الـ directions الـ directions أنا مرتاح منه ليش؟ + +344 +00:24:43,240 --> 00:24:47,080 +لأنه في الـ rings جاب لي أصلًا في شكل زي هذا المجال + +345 +00:24:47,080 --> 00:24:51,620 +صيني بس مش صادي ذاكرين إن الصادي روح؟ إذا المجال + +346 +00:24:51,620 --> 00:24:55,860 +صيني غير الـ ring صغيرة أو كبيرة بيظل المجال صيني + +347 +00:24:55,860 --> 00:24:58,220 +إذا أنت ما فيش عندك مشكلة في التكامل كامل وأنت + +348 +00:24:58,220 --> 00:25:02,680 +مغمض لأنه بتكامل كله مركبات صينية لعنكاف مركبات + +349 +00:25:02,680 --> 00:25:05,660 +صغيرة لا تحلل ولا تغلب حالك من أول أنت شاحت شغل + +350 +00:25:05,660 --> 00:25:09,360 +جاهزة إنها صينية وخالصة مظبوط ولا لأ؟ من المثال + +351 +00:25:09,360 --> 00:25:13,860 +السابق فبيقول لي integrating the last result we get + +352 +00:25:13,860 --> 00:25:20,140 +نطلع ثابتنا capital d ثابتة وk ثابتة المقام ثابت + +353 +00:25:23,190 --> 00:25:28,050 +لو غيرت اللون تبعت الحمرض تصغر وتكبر ولا ده r إذا + +354 +00:25:28,050 --> 00:25:31,850 +الـ r is variable not constant إذا المقام خالي جوا + +355 +00:25:31,850 --> 00:25:40,120 +حلو كمان؟ طاقة كامل هذا فوق dq variable وsmall r + +356 +00:25:40,120 --> 00:25:45,500 +variable بدي علاقة بين q وr ولا لأ؟ بدي الـ charge + +357 +00:25:45,500 --> 00:25:52,920 +density بتعطيني لأن r dimension وq كلوم كلوم و + +358 +00:25:52,920 --> 00:25:56,260 +dimensions متر ولا متر تربيع ولا متر تكعيب؟ معناته + +359 +00:25:56,260 --> 00:26:00,680 +lambda sigma أو rho طبعًا عندي هنا sigma صح ولا لأ؟ + +360 +00:26:00,680 --> 00:26:06,780 +إذا بدي علاقة بين dq وr أنا الآن شباب dq + +361 +00:26:06,780 --> 00:26:14,280 +بتساوي sigma في da مش أخذناها؟ لنشوف وين الـ da + +362 +00:26:14,280 --> 00:26:26,920 +ها نصير هجيب جاب لي هنا sigma بتساوي dq + +363 +00:26:26,920 --> 00:26:30,600 +على da هاي القانون تبعي بتستخدمه صح ولا لأ؟ + +364 +00:26:30,600 --> 00:26:37,000 +هجيب هذه الشيء يعني مساحة العنصر وهذه شحنة العنصر صح + +365 +00:26:37,000 --> 00:26:43,240 +ولا لأ؟ يعني هذه المساحة الموزعة عليها الشحنة صح؟ + +366 +00:26:43,240 --> 00:26:47,540 +لما قلت dq يعني الشحنة على القطر الأحمر ولا لأ؟ طب + +367 +00:26:47,540 --> 00:26:53,300 +آخذ المساحة إيه؟ بدي مساحة المنطقة الحمراء بدي + +368 +00:26:53,300 --> 00:26:58,500 +مساحة المنطقة الحمراء هل هي by our تربيع تانق + +369 +00:26:58,500 --> 00:27:03,680 +تربيع لأ؟ تانق تربيع بتديك المساحة كلها هجيب تانق + +370 +00:27:03,680 --> 00:27:06,960 +تربيع مش بتديك هذه المساحة أنا ما بديش هذه أنا بس بدي + +371 +00:27:06,96 + +401 +00:29:59,520 --> 00:30:04,460 +عندك هنا سالب اثنين مش بيتقسم مع سالب نص هاي + +402 +00:30:04,460 --> 00:30:10,700 +الجواب طب الـ u ايش بيساوي؟ ما هيطلع في الـ calculus + +403 +00:30:10,700 --> 00:30:14,340 +خدتوها فاضل اللي فهمت و أنا خدتوها و لسه ما وصلتش + +404 +00:30:14,340 --> 00:30:22,220 +لها خدتوها هنا يا شباب فيزيا خلصت ما تبقى calculus + +405 +00:30:22,220 --> 00:30:27,900 +أما الفيزيا خلصت الحدود فيزيا بعد كده calculus هذه + +406 +00:30:27,900 --> 00:30:31,720 +لما كملتها و هذه بتاعة هذه الصيغة معروفة و محطوطة + +407 +00:30:31,720 --> 00:30:34,540 +حتى في جد تكتب الـ calculus ممكن تبقى مشهورة هذا + +408 +00:30:34,540 --> 00:30:39,520 +التكامل يعني سهل طلعت هيك يا شباب طلعت هيك طلعت عوضت + +409 +00:30:39,520 --> 00:30:43,960 +طلعت هادية شكل one minus D على الـ square root D + +410 +00:30:43,960 --> 00:30:47,240 +squared plus R squared طبعًا نتيجة ولا بدي أحفظها + +411 +00:30:47,240 --> 00:30:50,520 +ولا بدي أحكي عامل الـ R اللي بتديها هذا السمك تساوي + +412 +00:30:50,520 --> 00:30:55,560 +نص الفطوة لأ أفكر في نفس الـ run اه لأنها جزء منها + +413 +00:30:55,560 --> 00:31:03,200 +لأنها جزء منها حاضر بهمش هجيتله + +414 +00:31:03,200 --> 00:31:09,200 +و قولتلك أنا نرجع للـ road مش كانت هيك؟ الحاجات هذه + +415 +00:31:09,200 --> 00:31:15,100 +كانت أخدناها DX والمسافة هذه أخدناها X لماذا؟ لأن X + +416 +00:31:15,100 --> 00:31:19,180 +كترها شوية بدي تزيد إلى هذا شوية شوية DX DX DX طيب + +417 +00:31:19,180 --> 00:31:23,020 +طلع DR DR السمك باتجاه أنصاف الأقطار ولا لأ يا + +418 +00:31:23,020 --> 00:31:27,400 +شباب؟ باتجاه أنصاف الأقطار DR ولا لأ السمك باتجاه + +419 +00:31:27,400 --> 00:31:32,120 +نصف القطر بدي يكون؟ صح هنا طول العنصر باتجاه + +420 +00:31:32,120 --> 00:31:35,990 +الـ سين عشان كده خدت دي اكس هناك مالي ايش بتاخده دي + +421 +00:31:35,990 --> 00:31:39,450 +R لأنه باتجاه نصف الأقطار فهي جزء يعني كامل الـ R + +422 +00:31:39,450 --> 00:31:46,870 +بيكون يعني بمعنى آخر مفروض دي R بتساوي R2 نقص R1 + +423 +00:31:46,870 --> 00:31:51,650 +و R2 أكبر من R1 بشوية تمام فهي باتجاه نصف الأقطار + +424 +00:31:51,650 --> 00:31:55,610 +عشان كده أديتها نفس الرمز بنفس الاتجاه تمام + +425 +00:31:58,700 --> 00:32:03,280 +زي ما اتفقنا نطلع نهاية النتيجة النتيجة خلصت برضه بدي + +426 +00:32:03,280 --> 00:32:07,120 +أعالج عليها شوية و بديش أخليها point الآن بدي + +427 +00:32:07,120 --> 00:32:09,580 +أخليها شغلها غير الـ point الـ point أملنا فيها و + +428 +00:32:09,580 --> 00:32:12,540 +خلصناها في الـ ring of rod بيقول لي هذا الـ disk اللي + +429 +00:32:12,540 --> 00:32:13,400 +أنت شايفه + +430 +00:32:16,440 --> 00:32:21,580 +يكون very large plane very large plane يعني لو + +431 +00:32:21,580 --> 00:32:24,420 +قال لك very large plane جدّيش مجاله بقول له هذا plane + +432 +00:32:24,420 --> 00:32:27,640 +ما هو just plane ولا لأ عشان يكون very large في + +433 +00:32:27,640 --> 00:32:31,720 +عندي حالتين إما يكون نسقطره approaches infinity + +434 +00:32:31,720 --> 00:32:38,900 +كبير صح ولا لا هي large نسقطره معناه نهاية أو أجرب + +435 +00:32:38,900 --> 00:32:43,800 +عليه كتير يا شباب أجرب عليه كتير يعني أديكم مثال بسيط + +436 +00:32:43,800 --> 00:32:48,500 +لو جبت نملة و حطيتها على ظهر الفيل و قولت للنملة + +437 +00:32:48,500 --> 00:32:51,780 +ايش أخبار الفيل؟ بتقول عنه محيط مش عارف أول و من + +438 +00:32:51,780 --> 00:32:57,700 +آخر صح ولا لأ ويه؟ هي قريب عليه و عارفة عليه الجوف + +439 +00:32:57,700 --> 00:33:01,660 +جبت النملة نفسها و طيب و حطيتها على طيارة فوق قولت + +440 +00:33:01,660 --> 00:33:06,100 +له ايش أخبار الفيل؟ بتقول عنه نملة صار صح ولا لأ؟ + +441 +00:33:06,100 --> 00:33:12,180 +تمام؟ إذا لما أنا أجرب على شيء يبدو كبير يعني مثال + +442 +00:33:12,180 --> 00:33:15,840 +آخر لو جبت واحد منكم و بيعرفش الحيطة هذه بالمرة و + +443 +00:33:15,840 --> 00:33:18,620 +قولت له لزق في الحيطة حط وجهك على الحيطة و بقى لاصق + +444 +00:33:18,620 --> 00:33:21,140 +و قولت له الحيطة مستطيل ولا دائرة و بيقول لي بدي أطلع + +445 +00:33:21,140 --> 00:33:24,270 +فوق و بيقول لي ماما بطلع فوق و أقول له والله ما بعرف ممكن + +446 +00:33:24,270 --> 00:33:28,350 +تكون دائرة و ممكن تكون مستطيل لإيش؟ لأنه هو مش شايف + +447 +00:33:28,350 --> 00:33:32,470 +أولها من آخرها هو بيعتبرها كبيرة إذا أنا عشان يكون + +448 +00:33:32,470 --> 00:33:35,390 +عندي very large plane في عندي حالتين إما الـ plane + +449 +00:33:35,390 --> 00:33:39,110 +أصلًا يكون كبير يعني مع أبعاده ما لنا نهاية أو أنا + +450 +00:33:39,110 --> 00:33:41,970 +أكون قريب عليه كثير لما أكون قريب عليه كثير يعني + +451 +00:33:41,970 --> 00:33:45,610 +دي بتؤول إلى الـ zero أجرب عليه كثير في الحالتين + +452 +00:33:45,610 --> 00:33:48,870 +يا شباب انظروا على النتيجة لما دي goes to zero ايش + +453 +00:33:48,870 --> 00:33:56,410 +بيصير في الحد الثاني؟ الحد هذا حط دي مكانه صفر روح + +454 +00:33:56,410 --> 00:34:03,350 +فلو R goes to ما لا نهاية R صارت كبيرة كثير برضه صفر + +455 +00:34:03,350 --> 00:34:08,610 +صح ولا لأ إذا إما دي goes to zero أو R goes to ما لا + +456 +00:34:08,610 --> 00:34:11,850 +نهاية في الحالتين بصرف عندي large plane فبيقول لي + +457 +00:34:15,190 --> 00:34:21,110 +الشعور بالإنترنت لطاقة كبيرة يمكن أن يتم إيجاده من + +458 +00:34:21,110 --> 00:34:26,150 +النتيجة الأخيرة بإيقاف إما R يذهب إلى مدى نهاية أو + +459 +00:34:26,150 --> 00:34:27,310 +D يذهب إلى نهاية. + +460 +00:34:31,760 --> 00:34:35,860 +في هذا التقريب ايش صار؟ روح في الحالتين ايش بيطلع + +461 +00:34:35,860 --> 00:34:42,860 +النتيجة؟ هذه هي هذه K ذاكرينها زمان في أول محاضرة + +462 +00:34:42,860 --> 00:34:49,770 +واحد على أربعة by epsilon note أوفت عنها فوق و هنا + +463 +00:34:49,770 --> 00:34:55,790 +في 2 ضال 2 هنا في باي و هنا في باي راحت و ابسلن + +464 +00:34:55,790 --> 00:34:58,750 +نوت ضال هنا سجن على 2 ابسلن نوت بتضع نتيجة ما بديش + +465 +00:34:58,750 --> 00:35:03,570 +أحفظها يا شباب بس الشطر اللي ورا هيجيني كمان مثال + +466 +00:35:03,570 --> 00:35:07,950 +أحسب شدة المجال لـ very large plain بدي أقارنها + +467 +00:35:07,950 --> 00:35:12,970 +أقول لكم زمان حسبت معاها وطلع عليها و هيطلع معايا + +468 +00:35:12,970 --> 00:35:16,390 +نفسي تجاوب واضح؟ يعني هي دي بس مجرد عشان بدنا + +469 +00:35:16,390 --> 00:35:21,690 +نقارن فيها في الـ chapters كيف + +470 +00:35:21,690 --> 00:35:25,630 +يعني زي هي؟ زي السؤال هذا؟ اه ليه هو جيش؟ مش هذا + +471 +00:35:25,630 --> 00:35:31,250 +مثال؟ حاجة صعيبة؟ صعب تاخده عنصر؟ حاجة أنت؟ ايش هي + +472 +00:35:31,250 --> 00:35:33,890 +الفكرة اللي جمعناها؟ لما يكون عندك desk ايش عنصر + +473 +00:35:33,890 --> 00:35:38,540 +بيك تاخده؟فرينز هتتقللوا الـ ring .. كده تحفظانة + +474 +00:35:38,540 --> 00:35:42,520 +ماديكية .. بتاع ما .. بعد كده هتجيبها تعمل كامل .. + +475 +00:35:42,520 --> 00:35:46,360 +تجيب علاقة ما بين الـ Q و المساحة .. تقدر تجيبها .. + +476 +00:35:46,360 --> 00:35:49,080 +هنهي .. هنهي اللي بنعمله .. ف أنا هتعلمت ان كيف + +477 +00:35:49,080 --> 00:35:52,360 +تجيب المساحة .. مساحة الـ ring .. اتنين by RDR .. + +478 +00:35:52,360 --> 00:35:54,340 +معلومة .. بتاخدوها .. و الكلمة الثانية اللي كده + +479 +00:35:54,340 --> 00:35:58,560 +جيبتها .. محيط في السوق .. فده ده .. بتلاحظوا دي + +480 +00:35:58,560 --> 00:36:03,270 +التكملة .. ممكن تتعرف .. مش فعلًا شكل جديد .. شكل + +481 +00:36:03,270 --> 00:36:06,230 +جديد .. شوف تلاقي الـ ring غير عن الـ disk غير عن الـ + +482 +00:36:06,230 --> 00:36:10,410 +rod لكن عندك هتشوف الأسطح في disk بس شوية زرقة و + +483 +00:36:10,410 --> 00:36:19,190 +قبره .. حاجة زي هيك .. يا حكيه .. لأن + +484 +00:36:19,190 --> 00:36:23,250 +فيه شحناته لأنه هنا beta و هنا الـ zero جربت عليه + +485 +00:36:23,250 --> 00:36:27,730 +فبيطلع سجن على تلفزيون الـ rod مجنونش يا جي سجن بقى + +486 +00:36:27,730 --> 00:36:31,430 +جرب عليه ان أنا صوت ع الـ field هاي مناسبة على سلطة + +487 +00:36:31,430 --> 00:36:34,110 +هذه مناسبة على الـ field على نص الـ .. على النص ولا + +488 +00:36:34,110 --> 00:36:39,330 +فوق بتفهمش ما حد كده تمام؟ + +489 +00:36:39,330 --> 00:36:41,870 +the electric field lines الموضوع الثالث الـ + +490 +00:36:41,870 --> 00:36:43,650 +electric field lines احنا اتفقنا احنا وياكم يا + +491 +00:36:43,650 --> 00:36:49,830 +شباب ان كل شحنة لها مجال صح ولا لأ كيف كنت اعرف ان + +492 +00:36:49,830 --> 00:36:54,680 +في مجال ولا فيش مجال؟ كنا نحط شحنة بمعنى آخر أنا + +493 +00:36:54,680 --> 00:36:59,820 +المجال بشوفه في العين؟ لأ بشوفوش بحس بتأثيره طيب + +494 +00:36:59,820 --> 00:37:02,660 +العلماء لما اجى فكر فرضية كيف بكرا بدأ يرسم في + +495 +00:37:02,660 --> 00:37:08,000 +الكتاب؟ وكيف بدي أكتب في الدفتر و أرسم على اللوح؟ + +496 +00:37:08,000 --> 00:37:12,020 +منطقة فيها مجال ومنطقة مش فيها مجال؟ إذا لازم نتفق + +497 +00:37:12,020 --> 00:37:16,440 +على إن هذا المجال إن مثلوب شغلة معينة نتفق عليها + +498 +00:37:16,440 --> 00:37:19,960 +احنا العلماء هذه الشغلة سموها الـ Electric Feed + +499 +00:37:19,960 --> 00:37:23,600 +Lines عشان لما ارسم هقول انا هنا في مجال بديش انا + +500 +00:37:23,600 --> 00:37:25,960 +اظن و انا على اللوح ولا و انا في الكتاب ولا في + +501 +00:37:25,960 --> 00:37:28,700 +الدفاتر أقول فالله هنا شحنة ولا فش شحنة لأن أنا + +502 +00:37:28,700 --> 00:37:32,520 +ارسمها شحنة حقيقية ولا رسمها فهي رسمة يعني لو جيبت + +503 +00:37:32,520 --> 00:37:37,620 +انا شحنة حقيقية تخرج لأ أنا بدي كل رسم برسم خلنا + +504 +00:37:37,620 --> 00:37:41,940 +نتفق على رسم فبيقولي the electric field in a region + +505 +00:37:41,940 --> 00:37:47,360 +المجال الكهربائي في اي منطقة اتفق على انها is + +506 +00:37:47,360 --> 00:37:52,320 +represented by imaginary lines خطوط وهمية قبعا + +507 +00:37:52,320 --> 00:37:56,540 +وهمية انا باسمها بس عشان اتديرلي ان في مجال و لا + +508 +00:37:56,540 --> 00:38:00,020 +مجال is represented by imaginary lines known as + +509 +00:38:00,020 --> 00:38:04,600 +electric field lines هي خطوط وهمية مرات بيسموها + +510 +00:38:04,600 --> 00:38:08,320 +lines of force خطوط القوة خطوط القوة مش مشكلة + +511 +00:38:08,320 --> 00:38:08,600 +الاسم + +512 +00:38:11,390 --> 00:38:15,110 +فرده مش خضر يمين اللي اختارها احنا بنعرفها وصلنا + +513 +00:38:15,110 --> 00:38:17,990 +متفقين عليها these lines have the following + +514 +00:38:17,990 --> 00:38:23,410 +properties عشان لما انا ارسم خطوط مجال لشكل واحد + +515 +00:38:23,410 --> 00:38:26,930 +في الصين أو واحد في روسيا أو واحد في جنوب أفريقيا + +516 +00:38:26,930 --> 00:38:29,750 +يرسم خطوط مجال لنفس الشكل لازم يطلع نفس الخطوط + +517 +00:38:29,750 --> 00:38:34,650 +المجال ولا لأ عشان هذي يصير لازم نتفق على خواص كنا + +518 +00:38:34,650 --> 00:38:39,200 +هنرسم طبعًا لها صح ولا لأ طيب، ايش هي الخواص؟ أول + +519 +00:38:39,200 --> 00:38:42,520 +حاجة وعلينا نشوف الخواص كلنا بنعرفها بيقولي the + +520 +00:38:42,520 --> 00:38:44,840 +direction of the lines at any point is the + +521 +00:38:44,840 --> 00:38:47,480 +direction of the electric field at that point أنت + +522 +00:38:47,480 --> 00:38:50,720 +بترسم خطوط و الخطوط اللي هأسهم طب خلص سهل مع + +523 +00:38:50,720 --> 00:38:55,480 +المجال طب المجال أنت بتعرف تحدد اتجاهه يا شباب؟ مش + +524 +00:38:55,480 --> 00:38:58,860 +تباع الشحنة؟ إذا كان موجب outward وإذا كان + +525 +00:38:58,860 --> 00:39:02,280 +سالباً inward؟ إذا أنا بعرف أحد اتجاه طيب إذا + +526 +00:39:02,280 --> 00:39:08,130 +الخط هاي عرفتها هاي أول خاصية سهلة بقول هذا يعني ان + +527 +00:39:08,130 --> 00:39:12,670 +الارواح يجب ان تبدأ في مواصفات أفضل و تنتهي في + +528 +00:39:12,670 --> 00:39:18,970 +مواصفات أفضل إذا positive out و negative into إذا + +529 +00:39:18,970 --> 00:39:21,910 +ببدأ من الـ positive و بطلع من الـ positive و بنتهي + +530 +00:39:21,910 --> 00:39:25,430 +وين عندي الـ negative شغلة منطقية برضه من الخواص أنا + +531 +00:39:25,430 --> 00:39:29,670 +بعرفها إذا begins أو the lines begin at positive + +532 +00:39:29,670 --> 00:39:34,150 +charges and terminate بينتهي معناه terminate at + +533 +00:39:34,150 --> 00:39:36,730 +negative charges بينتهي عندي negative charges + +534 +00:39:36,730 --> 00:39:40,610 +الشغل الثاني بيقول ان أنا برسم خطوط لو مافيش ولا + +535 +00:39:40,610 --> 00:39:44,670 +خط كده المجال بيكون؟ صفر فده هو عصمة خمس خطوط ولا + +536 +00:39:44,670 --> 00:39:49,690 +عشر خطوط؟ العشرة أكبر ولا لا؟ إذا معناه عدد الخطوط + +537 +00:39:49,690 --> 00:39:54,050 +بدّه يتناسب مع مقدار المجال ولا لا؟ طبعًا عدد الخطوط + +538 +00:39:54,050 --> 00:39:57,250 +بصفّ العربة بشغلّه بمعنى آخر، مين سكان أكبر يا + +539 +00:39:57,250 --> 00:40:01,270 +شباب، غزة ولا القاهرة؟ طب مين كثافتها أكثر؟ غزة ولا + +540 +00:40:01,270 --> 00:40:04,950 +القاهرة؟ إذا ايش أعمل إن لما قلنا كثافة حطينا عن + +541 +00:40:04,950 --> 00:40:08,310 +المساحة صح ولا لأ؟ وفي نفس العملية، بديش أنا عدد + +542 +00:40:08,310 --> 00:40:12,190 +الخطوط بس، بدي أربطها بالمساحة، ويصير + +543 +00:40:12,190 --> 00:40:17,390 +كثافة الخطوط هي اللي بتدل على جدّاش المجال، كل ما + +544 +00:40:17,390 --> 00:40:22,090 +كانت الخطوط كثيفة، كل ما كان المجال كبير، صح ولا + +545 +00:40:22,090 --> 00:40:27,380 +لأ؟ فبيقول لي، the number of lines per unit area زي + +546 +00:40:27,380 --> 00:40:31,560 +لما أقول عدد البناء جميع لكل وحدة مساحة هذه + +547 +00:40:31,560 --> 00:40:35,080 +الكثافة بالـ unit area طبعًا perpendicular to E عشان + +548 +00:40:35,080 --> 00:40:37,980 +نكون متعامد و نتفق عليها is proportional to the + +549 +00:40:37,980 --> 00:40:42,540 +magnitude of E in that region يكون متناسب مع شدة E + +550 +00:40:42,540 --> 00:40:45,700 +برضه هذه شغلة سهلة و معروفة بيقول يهدد تلاتة عشان + +551 +00:40:45,700 --> 00:40:51,160 +تصير صح مش هتلاقي خطين بتقطع no two field lines can + +552 +00:40:51,160 --> 00:40:54,380 +cross ولا ممكن يتقاطع و إلا بصي فيه خلال في الـ + +553 +00:40:54,380 --> 00:40:58,260 +directions و خلال في شغلات كتيرة طبعًا لو إيدينا + +554 +00:40:58,260 --> 00:41:02,860 +نصهم أنا جالب منكم رسمة من الـ net هدول شوفوا الـ + +555 +00:41:02,860 --> 00:41:06,860 +positive يا شباب outward لو أنا سألتكم الآن اتجاه + +556 +00:41:06,860 --> 00:41:11,700 +المجال هنا كيف outward نفس الخطة لنا .. اذا الخاصية + +557 +00:41:11,700 --> 00:41:15,400 +الأولى هي اتحققت .. تمام شغل ثاني .. طبعًا هنا نفس + +558 +00:41:15,400 --> 00:41:17,740 +العملية .. هنا نفس العملية .. كله مع الخطوط طب هنا + +559 +00:41:17,740 --> 00:41:23,000 +اتجاه المجال كيف؟ فضيحة .. اذا صحيح .. طيب شغل ثاني + +560 +00:41:23,000 --> 00:41:28,960 +.. رجّلي عدد خطوط المجال هنا و هنا .. خطوط المجال + +561 +00:41:28,960 --> 00:41:35,690 +.. طبعًا نفس المساحة .. الأولى كم خط فحّة، الثانية + +562 +00:41:35,690 --> 00:41:39,690 +إن الكتابة هو الأكثر في الأولى، وهذا المجال أكبر + +563 +00:41:39,690 --> 00:41:42,890 +ولا مش مجال أكبر؟ صح لأنه أقرب، إذن برضه منطقي إن + +564 +00:41:42,890 --> 00:41:47,370 +عدد خطوط المجال تتناسب .. كل واحدة في مساحة تتناسب + +565 +00:41:47,370 --> 00:41:50,390 +مع شدة المجال برضه منطقي، وطبعًا واضحين إن ما فيش + +566 +00:41:50,390 --> 00:41:53,620 +عندك خطوط بتتقاطع هذه positive وهذه negative لما + +567 +00:41:53,620 --> 00:41:56,480 +يكون عندك positive و negative يكون اتجاه begin at + +568 +00:41:56,480 --> 00:42:00,080 +positive and terminate at negative يبدأ من الـ + +569 +00:42:00,080 --> 00:42:02,480 +positive وينتهي عند الـ negative هنا طبعًا في + +570 +00:42:02,480 --> 00:42:06,280 +positive و في positive نتيجة الخط يبدأ و يبحث عن + +57 + +601 +00:44:15,840 --> 00:44:19,340 +عندك معلومة وأنت تشرح في شدة المجال الكهربائي + +602 +00:44:19,340 --> 00:44:23,540 +بقول الشحنة حطيتها في مجال، ايش بدها توصل فيها؟ تتعرض + +603 +00:44:23,540 --> 00:44:27,700 +لقوة.. قوة كهربية مظبوط ولا لأ؟ طب القوة الكهربية + +604 +00:44:27,700 --> 00:44:30,840 +بتنطبق عليها قوانين نيوتن ولا لأ بتنطبق؟ قوانين + +605 +00:44:30,840 --> 00:44:33,220 +نيوتن الثالث عملنا عليه الـ test وآمنّا فيه طب + +606 +00:44:33,220 --> 00:44:36,240 +نيوتن الثاني برضه بينطبق.. ايش نيوتن الثاني + +607 +00:44:36,240 --> 00:44:40,420 +بيحكي؟ بيقول every force create an acceleration صح + +608 +00:44:40,420 --> 00:44:44,100 +ولا لأ؟ لأن F بتساوي MA إذا في عندك acceleration + +609 +00:44:44,100 --> 00:44:48,210 +طب وإذا الـ acceleration هادي لو كانت ثابتة ممكن + +610 +00:44:48,210 --> 00:44:52,670 +تشتغل فيه من القوانين V بتساوي V not زائد AT و X + +611 +00:44:52,670 --> 00:44:56,290 +بتساوي V not زائد half ET تربيع و V تربيع بتساوي V + +612 +00:44:56,290 --> 00:44:59,990 +not تربيع زائد 2AX ولا لأ؟ اه إذا نفس القوانين ممكن + +613 +00:44:59,990 --> 00:45:05,410 +تتطبق فبقولي قلنا احنا وياك ندرس حالة الـ charged + +614 +00:45:05,410 --> 00:45:09,110 +particle موجود في مجال كهربائي، الـ charged particle + +615 +00:45:09,110 --> 00:45:12,190 +موجود في مجال كهربائي يعني هي قوة كهربية تمام + +616 +00:45:12,190 --> 00:45:16,110 +بيقولي the electric force obeys Newton's laws هذه + +617 +00:45:16,110 --> 00:45:21,310 +معلومة سابقة، القوة الكهربية ينطبق عليها جميع قوانين + +618 +00:45:21,310 --> 00:45:24,830 +نيوتن، الثلاث الأول والثاني والثالث، this means + +619 +00:45:24,830 --> 00:45:29,090 +that this force will create an acceleration لأن + +620 +00:45:29,090 --> 00:45:36,250 +نيوتن الثاني بقول a بتساوي F على m ففي a إذا if + +621 +00:45:36,250 --> 00:45:40,530 +a particle of mass m and its charge q exist in a + +622 +00:45:40,530 --> 00:45:45,360 +uniform electric field E is uniform، The electric + +623 +00:45:45,360 --> 00:45:51,020 +force acting on the charge is Fe بتساوي Q في الـ E + +624 +00:45:51,020 --> 00:45:55,200 +أخدناها ولا لأ؟ أخدناها؟ طب F بتساوي MA اه؟ بعرفها ولا + +625 +00:45:55,200 --> 00:45:58,740 +ما بعرفهاش؟ بعرفها من نيوتن الثاني، إذا القوة + +626 +00:45:58,740 --> 00:46:03,500 +الكهربية بتساوي Q في الـ E، هالـ Q وهالـ E في قوة + +627 +00:46:03,500 --> 00:46:07,620 +كهربية، طب بتساوي MA؟ اه بتساوي MA اه بقدر أجيب الـ + +628 +00:46:07,620 --> 00:46:09,900 +acceleration من هذا القانون الشباب ولا لأ؟ بقدر + +629 +00:46:09,900 --> 00:46:15,520 +أجيبه، فهذا الـ acceleration إذا في acceleration طبعا + +630 +00:46:15,520 --> 00:46:21,500 +واضح شباب؟ الآن Q ثابت للجسم والـ mass ثابتة، إذا + +631 +00:46:21,500 --> 00:46:24,360 +كانت E uniform يعني ثابتة، إذا الـ next question + +632 +00:46:24,360 --> 00:46:29,880 +مالها؟ ثابتة صحيح ولا لا؟ بيقول لي since E is uniform + +633 +00:46:29,880 --> 00:46:33,140 +لأنه قال لي هو uniform electric field، إذا E is + +634 +00:46:33,140 --> 00:46:37,870 +constant، ومازال E is constant and the formulas + +635 +00:46:37,870 --> 00:46:41,330 +govern the motion with constants acceleration are + +636 +00:46:41,330 --> 00:46:44,950 +still hold، إذا قوانينك الثلاث أو معادلاتك الثلاث + +637 +00:46:44,950 --> 00:46:50,150 +تبعت الحركة بتسارع ثابت ما زالت سارية المفقود + +638 +00:46:50,150 --> 00:46:53,650 +ما فيش عندك تغيير تمام؟ ما فيش شيء جديد؟ ما فيش شيء + +639 +00:46:53,650 --> 00:46:57,650 +جديد، بس الـ force صارت بتساوي Q في الـ E الـ + +640 +00:46:57,650 --> 00:47:00,850 +acceleration بتساوي F على A بقى لفّة من زمان، الثلاث + +641 +00:47:00,850 --> 00:47:04,720 +قوانين، بنعرفها من زمان ما فيش أي معلومة جديدة نحيها + +642 +00:47:04,720 --> 00:47:09,340 +الأمثلة، بيقول لي a particle a positive pointy charge + +643 +00:47:09,340 --> 00:47:17,120 +شحنة موجبة Q and mass M is released from rest + +644 +00:47:17,120 --> 00:47:22,360 +ما ادّيش صورة على التدقية، released from rest in a + +645 +00:47:22,360 --> 00:47:26,440 +region of electric field describe its motion، شحنة + +646 +00:47:26,440 --> 00:47:30,220 +شباب، ماسك شحنة وقت في مجال الكهربا، بتدفّلكها، بتضلها + +647 +00:47:30,220 --> 00:47:34,180 +واطّفة، لأ لما بيبصّوا عليها.. بيبصّوا عليها، بتتخرج + +648 +00:47:34,180 --> 00:47:37,060 +طبعًا كيف بتتخرج؟ بتبقى على القوة، لابتروح يمين، لابتروح + +649 +00:47:37,060 --> 00:47:39,840 +شمال، لابتروح فوق، لابتروح تحت، مظبوطة ولا لأ؟ لما + +650 +00:47:39,840 --> 00:47:44,620 +بيبقوا عليها، بتتخرج، قال له شوية اشتغل على الحركة + +651 +00:47:44,620 --> 00:47:49,680 +تبعتها برضه هنا في خطّ، رايح المشكلة وين؟ مش عارف ايش + +652 +00:47:49,680 --> 00:47:55,840 +هنا في خط شباب، زي هذا بالظبط هنا، وهذه المجال، كيف + +653 +00:47:55,840 --> 00:48:03,070 +اتجاه المجال؟ سيلي، والشحنة موجبة، قول لكم القوة هيها + +654 +00:48:03,070 --> 00:48:07,690 +القوة شايفينها؟ وقتيش هذي وهذي بيكونوا في نفس + +655 +00:48:07,690 --> 00:48:14,410 +الاتجاه، لما تكون الـ Q positive صح؟ طب لو كان الـ Q + +656 +00:48:14,410 --> 00:48:21,790 +سالب، تنقلب، في حالة Q كيف شباب؟ ايش المثال بيقول؟ + +657 +00:48:23,010 --> 00:48:25,930 +أنا هتطيب هالقوة بتكون مع المجال ولا عكس المجال؟ + +658 +00:48:25,930 --> 00:48:30,130 +معها، عشان كده هتتحرك، شوفوا كيف بتتحرك، لإن القوة هي + +659 +00:48:30,130 --> 00:48:33,310 +اللي حركتها، هجيت أنا هذا هذا الجلم لو بدّي فاهمتوا؟ + +660 +00:48:33,310 --> 00:48:37,050 +بدّي يطلع فوق ولا بدّي ينزل تحت؟ مين ينزل تحت؟ لأنه + +661 +00:48:37,050 --> 00:48:40,210 +بيجذبها، يعني في اتجاهها لأسفل، حاجة أنا عندي electron + +662 +00:48:40,210 --> 00:48:44,510 +وين بيروح؟ خصم القوة، إذا القوة كعربية هيك بيروح هيك + +663 +00:48:44,510 --> 00:48:48,190 +صح ولا لا؟ إذا القوة كعربية هيك بيروح هيك، طب القوة + +664 +00:48:48,190 --> 00:48:51,530 +كيف بتعرفها؟ بقول لك بتعرفها من شغلتين، اتجاه المجال و + +665 +00:48:51,530 --> 00:48:54,890 +نوع الشحنة، اتجاه المجال ونوع الشحنة، إذا الشحنة + +666 +00:48:54,890 --> 00:48:58,930 +موجبة قوتها مع مجالها، إذا الشحنة سالبة قوتها بيبقى + +667 +00:48:58,930 --> 00:49:02,850 +مع مجالها، من هذا القانون، ها أنا هنا مع المجال تمام؟ + +668 +00:49:03,330 --> 00:49:06,470 +Solution، بيقولي the acceleration of the charge + +669 +00:49:06,470 --> 00:49:09,450 +عشان أنا بدي أدرس الحركة بدي أول حاجة الـ + +670 +00:49:09,450 --> 00:49:12,490 +acceleration، ما الـ acceleration؟ طلّعتها شباب؟ طلّعتها + +671 +00:49:12,490 --> 00:49:17,150 +هي QE على M، شايفين القانون الفجاني اللي هو مش + +672 +00:49:17,150 --> 00:49:22,450 +قانون، يعتبر قانون جديد، طيب E مش باتجاه الـ I السيني + +673 +00:49:22,450 --> 00:49:27,590 +فالتسارع السيني فأمني، صحيح ما فيش مشكلة، طيب التسارع + +674 +00:49:27,590 --> 00:49:34,150 +السيني، والكتلة، ما فيش إلها أي سرعة ابتدائية، لما فلتّها + +675 +00:49:34,150 --> 00:49:39,970 +ممكن تكون إلها حركة صادية؟ مين بيحركها صادية؟ ما فيه + +676 +00:49:39,970 --> 00:49:44,150 +ده قوة؟ القوة كيف اتجاهها؟ صينية، إذا الحركة كلها + +677 +00:49:44,150 --> 00:49:48,130 +صينية، ما فيش مجال تروح صادية، لأنه أنا عندي.. هاي + +678 +00:49:48,130 --> 00:49:52,890 +واحد واقف، هاي واقف، يجي واحد بدّه يحركه صيني، بدّي + +679 +00:49:52,890 --> 00:49:58,450 +أحد يقول لك ده حصادي؟ تمام؟ هل جيت الـ projectile + +680 +00:49:58,450 --> 00:50:04,610 +motion، لو أنت حركته سيني، اللي هو حركة صادية؟ ايه + +681 +00:50:04,610 --> 00:50:07,910 +بقول الله؟ مين اللي بيبقى حركة صادية؟ الجاذبية + +682 +00:50:07,910 --> 00:50:13,270 +الأرضية، لأن الجاذبية عرضية على خطّك، هي صادية، أنت لو + +683 +00:50:13,270 --> 00:50:17,510 +قصفت حجر هيك سيني، قول له أنا بقصفك سيني تمامًا، + +684 +00:50:17,510 --> 00:50:20,210 +بيبقوا ماشي عادي؟ ولا بيبقوا ينزلوا عارض؟ من + +685 +00:50:20,210 --> 00:50:26,150 +ينزلوا؟ القوة الصادية، هنا، لكن لو هذا هي صلّحة + +686 +00:50:26,150 --> 00:50:29,510 +ابتدائي جزيرة، بدا فالتو، منشي سيني؟ ولا بدّه ينزل + +687 +00:50:29,510 --> 00:50:32,590 +صاضي، لأنه ليش؟ القوة الوحيدة اللي اجته الصاضية، وهنا + +688 +00:50:32,590 --> 00:50:35,910 +نفس العملية عندك جسم ساكن، عنده قوة صينية، إذا + +689 +00:50:35,910 --> 00:50:39,030 +الحركة الصينية خاطئة تمام، بيقولي since v not + +690 +00:50:39,030 --> 00:50:43,310 +بتساوي zero، الـ acceleration is along the x axis، و + +691 +00:50:43,310 --> 00:50:46,650 +الـ motion is linear، صيني مش عندك إلا حركة صينية + +692 +00:50:46,650 --> 00:50:50,620 +نفس القضية، ماذا يجب أن يفعل؟ يقول إنه يريد أن يجلب + +693 +00:50:50,620 --> 00:50:56,440 +بعد وقت T، بعد زمن معين، يقول الـ particle is a + +694 +00:50:56,440 --> 00:50:59,180 +distance travelled by.. يريد أن يجلب كم متر + +695 +00:50:59,180 --> 00:51:03,400 +ماشية، يجب أن يجلبها، I X بتساوي V NOT في T زائد half + +696 +00:51:03,400 --> 00:51:08,020 +A T تربيع، هل تعرفوا هذا القانون؟ V NOT كم؟ Zero + +697 +00:51:08,730 --> 00:51:14,390 +تمام، و A عارفينها، و T هي بجايزني زمان، عند أي زمان + +698 +00:51:14,390 --> 00:51:17,610 +بتقدر تجيب X شباب، صح ولا لأ؟ بس بدك تعرف انّه شهوة + +699 +00:51:17,610 --> 00:51:21,570 +الزمان، طيب، V not برضه لو بدّك تجيب السرعة + +700 +00:51:21,570 --> 00:51:25,630 +النهائية، السرعة عند أي زمان، V تربيع بتساوي V not + +701 +00:51:25,630 --> 00:51:30,210 +تربيع زائد 2AX، برضه ذاكرينه؟ V not قدّاش؟ Zero + +702 +00:51:30,210 --> 00:51:35,640 +إذا هيدي Zero، واتنين، وهيدي A معاها، و X هيها، صح ولا + +703 +00:51:35,640 --> 00:51:38,480 +لأ؟ إذا برضه بتقدر تجيبه بس بدّك تعرفها في الـ T مش + +704 +00:51:38,480 --> 00:51:43,080 +قضية، طيب في شغلات تانية، إذا V بتساوي QE على M في + +705 +00:51:43,080 --> 00:51:47,140 +الـ T، هذه طبعًا دائمًا تعرفوا إنّه في هناك شيء لحد + +706 +00:51:47,140 --> 00:51:49,040 +اللي أنا مش فاهم، مرة بظهر ومرة ما بظهرش، ليش مش + +707 +00:51:49,040 --> 00:51:54,840 +عارف؟ هل المنطقة دي في اللغة فيها مشكلة؟ مش عارف، اه + +708 +00:51:54,840 --> 00:51:58,560 +يمكن اه ممكن، بس بقول لك طبعًا هو ضابر كل بس ما بعرفش + +709 +00:51:58,560 --> 00:52:04,070 +ليش السبب، طيب طيب، شغلة تانية أخذناها فيزياء ألف، مبدأ + +710 +00:52:04,070 --> 00:52:07,130 +الـ conservation of energy، ذاكرينه؟ ذاكرين هذا + +711 +00:52:07,130 --> 00:52:13,330 +القانون؟ الـ W net بالثوابت، ده التكيه؟ تمام؟ الـ W، + +712 +00:52:13,330 --> 00:52:18,450 +الشغل، مين ذاكره؟ ايش بتساوي؟ الشغل ايش بتساوي؟ + +713 +00:52:18,450 --> 00:52:24,930 +قوة في مسافة، في إزاحة، صح؟ القوة الكهربية مش + +714 +00:52:24,930 --> 00:52:31,890 +بتساوي الـQ في الـE، والإزاحة، ده أعتبرها X، QE F F + +715 +00:52:31,890 --> 00:52:36,130 +F F F F F F F F F F F F F F F F F F F F F F F F F + +716 +00:52:36,130 --> 00:52:39,370 +F F F F F F F F F F F F F F F F F F F F F F F F F + +717 +00:52:39,370 --> 00:52:42,470 +F F F + +718 +00:52:42,470 --> 00:52:46,230 +F F F F F F F F F + +719 +00:52:46,230 --> 00:52:47,330 +F F F F F F F F F F F F F F F F F F F F F F F F F + +720 +00:52:47,330 --> 00:52:51,990 +F F F F + +721 +00:52:51,990 --> 00:52:55,720 +F F F هذه ليست قضية فقط لكي نعرف أن قوانين فيزياء + +722 +00:52:55,720 --> 00:53:01,480 +الف بتنطبق لأن هذه قوة وما زالت قوة كهربية زيها زي + +723 +00:53:01,480 --> 00:53:07,200 +جميع القوة تمام، آخر مثال، بيقول لي الـ electron + +724 +00:53:07,200 --> 00:53:12,600 +بتعرفون electron مشحون ولا مش مشحون؟ شحنته ايش؟ سالب + +725 +00:53:12,600 --> 00:53:17,320 +القوة الكهربية مع المجال ولا عكس المجال؟ عكس المجال + +726 +00:53:17,320 --> 00:53:21,880 +لأن الشحنة سالبة، بيقول لي الـ electron is projected + +727 +00:53:21,880 --> 00:53:26,040 +horizontally، أنا مشيته باتجاه السيني، بتشوف بتظل + +728 +00:53:26,040 --> 00:53:33,820 +سيني ولا لا؟ وين وجدته؟ في منطقة in a region of + +729 +00:53:33,820 --> 00:53:36,940 +uniform electric field between two plates of two + +730 +00:53:36,940 --> 00:53:40,740 +hundred newton per column and directed vertically + +731 +00:53:40,740 --> 00:53:43,620 +upward، المجال القوة بقى، ادّاني مقضاه وادّاني + +732 +00:53:43,620 --> 00:53:47,880 +الـ direction تبعه، upward، شايفين اتجاه المجال؟ كيف + +733 +00:53:47,880 --> 00:53:52,020 +اتجاه المجال؟ يعني ليه أعلى وليه مش أعلى؟ زي ما + +734 +00:53:52,020 --> 00:53:56,680 +هو بدّه، القوة العادلة في هون كيف بتكون؟ أعلى ولا + +735 +00:53:56,680 --> 00:54:01,840 +أسفل؟ أسفل لإنّه عكسها، إذا أنا أمشي عدل، بيظل عدل + +736 +00:54:01,840 --> 00:54:06,420 +ولا بينزل؟ بينزل غصب عنه تمام؟ سوف أظل بيبقى time + +737 +00:54:06,420 --> 00:54:11,000 +motion، أنا كده هبقى عدل، فما هتنزل ليش؟ لإن في قوة + +738 +00:54:11,000 --> 00:54:14,700 +صادية إلى أسفل، وليه في قوة صادية إلى أسفل؟ تمام + +739 +00:54:14,700 --> 00:54:18,120 +ايش بدّه؟ هل تشوف الإلكترونات النجاة الخضراء؟ بدّه + +740 +00:54:18,120 --> 00:54:24,240 +يخش ويدخل ويميل ويطلع، هيطلع أفقي ولا هيطلع مائل؟ + +741 +00:54:24,240 --> 00:54:29,340 +مائل، ايش بدّه؟ Find the acceleration of the electron + +742 +00:54:29,340 --> 00:54:32,920 +while it is in the field، بيقول أو جد الـ + +743 +00:54:32,920 --> 00:54:35,260 +acceleration تبع الإلكترون، هو جوا طبعًا، هو برا ما فيش + +744 +00:54:35,260 --> 00:54:37,980 +ايه acceleration؟ ما فيش قوة، لأنه عليه، صحيح ولا لأ؟ + +745 +00:54:37,980 --> 00:54:40,780 +أما جوا فيه قوة إذا فيه acceleration، ايش بدّه كمان؟ + +746 +00:54:40,780 --> 00:54:43,820 +how long is it in the field؟ قال له قدّاش time + +747 +00:54:43,820 --> 00:54:47,840 +استغرقت الزمن من أول ما دخل لآخر ما دخل، ده خرج، بدّه زمن + +748 +00:54:47,840 --> 00:54:52,380 +على سهلة، What is the vertical displacement of the + +749 +00:54:52,380 --> 00:54:55,460 +electron inside the field؟ احنا اتفقنا إنّه بدّه يمشي + +750 +00:54:55,460 --> 00:54:59,900 +عدل، صح؟ بدّه يميل، قدّاش هذه الإزاحة الصادية؟ + +751 +00:54:59,900 --> 00:55:04,120 +قدّاش؟ يعني ايش بدّه؟ بدّه هذه المسافة Y، شايفينها؟ + +752 +00:55:04,120 --> 00:55:09,840 +قشّ من هنا وطول الحال، بدّي هذه، Y قدّاش، هاي الـ + +753 +00:55:09,840 --> 00:55:12,640 +vertical displacement، واضح شباب؟ هاي المطالب + +754 +00:55:12,640 --> 00:55:17,860 +تبعتنا، المطالب الأول سهل، Solution، The acceleration + +755 +00:55:17,860 --> 00:55:22,340 +of the electron is A بتساوي F على M، قانون نيوتن + +756 +00:55:22,340 --> 00:55:27,400 +الثاني، المعلومة الجديدة، F بتساوي Q في E، صح؟ High Q + +757 +00:55:27,400 --> 00:55:31,720 +في E على M، الـ Q منين بتجيبها؟ شخصية الإلكترون، أنتو + +758 +00:55:31,720 --> 00:55:34,620 +ملاحظين هنا فيه vectors، ولما يكون فيه vectors + +759 +00:55:34,620 --> 00:55:37,780 +ما فيش absolute values، بدّي اجيب الإلكترون بلحمه و + +760 +00:55:37,780 --> 00:55:41,180 +بشحمه، فالبه أو + +761 +00:55:43,880 --> 00:55:48,720 +شايفين السالب؟ تبع الإلكترون، one point six into + +762 +00:55:48,720 --> 00:55:53,780 +power minus nineteen، الـ E أعطاني اه وجاء لي up + +763 +00:55:53,780 --> 00:55:59,540 +عشان كده حطّيت J ولا لأ؟ هو جاء لي up، على كتلة + +764 +00:55:59,540 --> 00:56:03,440 +الإلكترون، الشحنة تبعها تعتبر 9.11 + +765 +00:56:03,440 --> 00:56:07,140 +into power minus thirty one، شوفوا في شغلات إنّها + +766 +00:56:07,140 --> 00:56 + +801 +00:58:37,670 --> 00:58:41,150 +three point three three ten to power minus eight + +802 +00:58:41,150 --> 00:58:46,870 +ثاني طلع الجواب سهل بيكتره + +803 +00:58:46,870 --> 00:58:47,590 +يبقى من هنا Y + +804 +00:58:52,140 --> 00:58:58,120 +V0 صفر لإنها V0Y شبه وعكالة السرعة الابتدائية كانت + +805 +00:58:58,120 --> 00:59:03,300 +صينية إذا ما العاش مركبة صاضية إذا ما بيقولي Y + +806 +00:59:03,300 --> 00:59:09,340 +بيساوي V0Y في T plus half AY T square احكي سألني + +807 +00:59:09,340 --> 00:59:17,000 +شو اللي ضاع عنك شيء ايه اتجذبك هنا أنت هيا ايه هو + +808 +00:59:17,000 --> 00:59:20,900 +طلع نهاشي الفرع الأول جهزي + +809 +00:59:22,370 --> 00:59:28,430 +عوض عوضت ال V0Y اتفقنا صفر بالسوء زائد نص بجل ال + +810 +00:59:28,430 --> 00:59:31,070 +AY سالب تلاتة point fifty one ten to power + +811 +00:59:31,070 --> 00:59:35,590 +thirteen طلعناها من الفرق الأول في T² هي T ولا + +812 +00:59:35,590 --> 00:59:39,130 +نقول هذ T الصينية ما بناخدها صغيرة لأ لأ نفس ال T + +813 +00:59:39,130 --> 00:59:44,390 +حتى ال T طلعت ناقص ليش ناقص العجواء لأ لأ أسفة + +814 +00:59:44,390 --> 00:59:48,790 +ذاكرينها لأ أسفة فهو طلع عجواء زي فقط فادر الفقيدة + +815 +00:59:48,790 --> 00:59:53,460 +في مشكلة فادرخلص الشرطة diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..ad76bdc5c574369e0c493639c3e8e1d0406df455 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI_postprocess.srt @@ -0,0 +1,3260 @@ +1 +00:00:10,180 --> 00:00:15,500 +بسم الله الرحمن الرحيم نكمل الأمثلة اللى كانت على + +2 +00:00:15,500 --> 00:00:19,880 +ال continuous charge distribution اتفقنا عشان نجيب + +3 +00:00:19,880 --> 00:00:23,360 +شدة المجال الكعربائى for continuous charge + +4 +00:00:23,360 --> 00:00:26,940 +distribution we have to divide the distribution + +5 +00:00:26,940 --> 00:00:32,150 +into small elementsثم نجد المجال الكهربائي بسبب + +6 +00:00:32,150 --> 00:00:36,310 +واحدة من هذه المجالات و بعد ذلك نتجرع على جميع + +7 +00:00:36,310 --> 00:00:37,050 +المجالات التي تتجرع على المجالات التي تتجرع على + +8 +00:00:37,050 --> 00:00:37,230 +المجالات التي تتجرع على المجالات التي تتجرع على + +9 +00:00:37,230 --> 00:00:38,790 +المجالات التي تتجرع على المجالات التي تتجرع على + +10 +00:00:38,790 --> 00:00:41,910 +المجالات التي تتجرع على المجالات التي تتجرع على + +11 +00:00:41,910 --> 00:00:44,870 +المجالات التي تتجرع على المجالات التي تتجرع على + +12 +00:00:44,870 --> 00:00:46,790 +المجالات التي تتجرع على المجالات التي تتجرع على + +13 +00:00:46,790 --> 00:00:47,410 +المجالات التي تتجرع على المجالات التي تتجرع على + +14 +00:00:47,410 --> 00:00:51,630 +المجالات التي تتجرع على المجالات التي تتجرع على + +15 +00:00:51,630 --> 00:00:54,950 +المجالات التي تتجرع + +16 +00:00:57,290 --> 00:01:01,490 +A ring of radius capital R has a uniform charge + +17 +00:01:01,490 --> 00:01:05,830 +distribution of magnitude capital Q. Calculate the + +18 +00:01:05,830 --> 00:01:09,030 +electric field along the axis of the ring at a + +19 +00:01:09,030 --> 00:01:12,450 +point P lying a distance capital D from the center + +20 +00:01:12,450 --> 00:01:16,710 +of the ring يعني هاي ال ring شباب هذه كلها مشحونة + +21 +00:01:16,710 --> 00:01:21,930 +كل المنطقة الزرقى مليانة شحنات طبعا هذه ring دائرة + +22 +00:01:21,930 --> 00:01:27,040 +بس محطوبة عشان هيك محطوبة واضح تمام؟أيش مقلوب؟ + +23 +00:01:27,040 --> 00:01:30,040 +بيقولي اوجد شدة نصف قطرة capital R زي ما هم الدينة + +24 +00:01:30,040 --> 00:01:33,560 +بده شدة المجال الكهربائي عند نقطة P وهذه النقطة P + +25 +00:01:33,560 --> 00:01:37,540 +بتبعد مسافة D عن ال center تبع ال ring اذا دائما + +26 +00:01:37,540 --> 00:01:41,360 +زي ما اتفقنا احنا مع بعض انه وين بده المجال + +27 +00:01:41,360 --> 00:01:45,260 +الكهربائي يحدد اليك ويعطي اليك هنا بيقولك find the + +28 +00:01:45,260 --> 00:01:48,740 +electric field at a point P و ال point B along the + +29 +00:01:48,740 --> 00:01:52,220 +axis of the ring and a distance capital D from the + +30 +00:01:52,220 --> 00:01:57,330 +center of the ringالشيء قطوة اتفقنا عليها اول حاجة + +31 +00:01:57,330 --> 00:01:59,970 +ايش بدي اسوي في الـ charge distribution؟ بدي اجسمه + +32 +00:01:59,970 --> 00:02:04,790 +لعناصر و بدي اختار عنصر تمام؟ اذا لو جينا نقول ال + +33 +00:02:04,790 --> 00:02:09,170 +solution again we divide the ring into small + +34 +00:02:09,170 --> 00:02:13,430 +elements each of its charge dq وهذا برضه اخدناها + +35 +00:02:13,430 --> 00:02:18,130 +ان ال charge لأي عنصر لازم يكون dq هذه .. هذه عنصر + +36 +00:02:18,130 --> 00:02:22,090 +شايفينه يا شباب؟ الأحمر هذا عنصر واحد من هذه + +37 +00:02:22,090 --> 00:02:26,820 +العناصر الكتيرةالخطوة التالية بدي اجيب مجال هذا + +38 +00:02:26,820 --> 00:02:30,940 +العنصر العنصر is a point مش ممكن اعتبره point ولا + +39 +00:02:30,940 --> 00:02:36,200 +لا في عندي قانون لل point بيقول E بيسوي KQ على R² + +40 +00:02:36,200 --> 00:02:39,900 +مظبوط؟ اذا عشان اجيب سدة المجال بدي اجيب ال + +41 +00:02:39,900 --> 00:02:42,500 +direction تبعه على اعتبار انه positive برضه ال + +42 +00:02:42,500 --> 00:02:46,480 +positive الاتجاه كيف بتعامل معاه؟ out يعني كيف + +43 +00:02:46,480 --> 00:02:51,170 +تتوقعش سدة المجال يكون؟من الشحنة اللى هو العنصر + +44 +00:02:51,170 --> 00:02:54,510 +اللى أحمر و بروح على ال point و بطلع مش بيكون هيك + +45 +00:02:54,510 --> 00:03:00,410 +هذه DQ هذه الخطة الأخضر ولا لأ؟ فى إشكالية؟ هدف + +46 +00:03:00,410 --> 00:03:05,770 +IDE طب تمام الآن بدى تبدأ القانون القانون إيش + +47 +00:03:05,770 --> 00:03:09,110 +بيقول K + +48 +00:03:09,890 --> 00:03:14,850 +بدل كيو حبيت دي كيو لان دي كيو هي شحنة العنصر على + +49 +00:03:14,850 --> 00:03:19,410 +R² وين R²؟ شايفينها وين؟ مش هديك بقدر أجيبها من في + +50 +00:03:19,410 --> 00:03:23,730 +فورس بقدر أجيبها بالظبط capital R تربيه ذات + +51 +00:03:23,730 --> 00:03:27,710 +capital D تربيه تحت الجزر تطلع عندى small r سهلة + +52 +00:03:28,350 --> 00:03:32,050 +القطة التالية بيقول لي كامل بس كامل مع كامل حطلي + +53 +00:03:32,050 --> 00:03:36,050 +ملاحظة أنت بتتعامل مع vectors بدك تنتبه إذا كل + +54 +00:03:36,050 --> 00:03:39,610 +العناصر لديهم نفس الاتجاه كامل وإلا بدك تاخد فعلي + +55 +00:03:39,610 --> 00:03:43,670 +اعتبار أنه كله مركبة على حده صح ولا لأ أفلتكم كمان + +56 +00:03:43,670 --> 00:03:46,510 +مرة و نص الدقيقة وكل واحد يتخيل عنصر غير عنصر اللي + +57 +00:03:46,510 --> 00:03:52,110 +أخدته أنا وشوف اتجاه المجال تبعه بختلف ولا مختلفش؟ + +58 +00:03:52,110 --> 00:03:57,150 +بختلف لأنه لو أنا جيبت عنصر شباب ham مش بده يتصحك + +59 +00:03:59,740 --> 00:04:04,720 +بالنسبة لها اذا اتجاهات عاملة بتتغير بنفع اجمع + +60 +00:04:04,720 --> 00:04:08,680 +تلاتة I و خمسة J و اقول عليهم تمانية لأ اذا ايه + +61 +00:04:08,680 --> 00:04:14,180 +يسوي قال حلل كل مركب على حد اشتغل مظبوط ولا لأ دام + +62 +00:04:14,180 --> 00:04:17,360 +اذا حكالي هنا هذا المجابة اللي عملت فيه في غورس + +63 +00:04:17,360 --> 00:04:20,400 +انا ماانتوا عارفينها هذه مافيش فيها مشكلة بيقولي + +64 +00:04:20,400 --> 00:04:23,500 +because of the symmetry قاللي عندك في شغل حلو الآن + +65 +00:04:23,500 --> 00:04:29,090 +ان المحور الصيني هذا شايفينهجسم ال ring إلى جسمين + +66 +00:04:29,090 --> 00:04:32,790 +متساويين ولا لأ؟ واحد علوي واحد سفلي؟ صح ولا لأ؟ + +67 +00:04:32,790 --> 00:04:35,730 +فى symmetry بسميها يعني فى عندي تماثل ما بين + +68 +00:04:35,730 --> 00:04:39,570 +المنطقة العلوية والمنطقة السفلية ايش يعني؟ لو فوق + +69 +00:04:39,570 --> 00:04:42,770 +فى عندي مت عنصر تحتها كم عنصر لازم يكون؟ مية صح + +70 +00:04:42,770 --> 00:04:47,790 +ولا لأ؟ طيب ابدأ اعمل test انت بين كل عنصر فوق و + +71 +00:04:47,790 --> 00:04:50,230 +ايش بيقابله تحت بيقول because of the symmetry + +72 +00:04:50,230 --> 00:04:58,580 +above the x axisWe should note that هناك + +73 +00:04:58,580 --> 00:05:02,040 +عنصر + +74 +00:05:02,040 --> 00:05:08,100 +مشابه ومناظر تحت لازم يكون below the x-axis which + +75 +00:05:08,100 --> 00:05:11,420 +is also located a distance r from b وبتكون برضه + +76 +00:05:11,420 --> 00:05:17,240 +على نفس البعد rخلّيني اختار عنصر تاني .. هاي عنصر + +77 +00:05:17,240 --> 00:05:20,400 +تاني .. هذا الانصر مش بناظر اللي فوق .. لو جيتك + +78 +00:05:20,400 --> 00:05:23,080 +جيجيستها دي مسافة مش بده تكون برضه R .. نفس الـR + +79 +00:05:23,080 --> 00:05:28,500 +فوق .. طلعت directions .. زي بعيد .. مش عكس هنا .. + +80 +00:05:28,500 --> 00:05:33,310 +فجيهم عن بعيد .. مفهوم .. كل حلل ..حلّله .. مظبوط + +81 +00:05:33,310 --> 00:05:35,970 +ولا لأ؟ بنحلّله و نشوف .. اجمع المراكبات السنية + +82 +00:05:35,970 --> 00:05:39,110 +لحال و المراكبات السادية لحال و بتريح عليك .. تمام + +83 +00:05:39,110 --> 00:05:42,690 +.. هذه الـDE .. نرجع هنا .. بيقول .. this element + +84 +00:05:42,690 --> 00:05:46,870 +اللي هو التحتاني produces an equal field .. برضه + +85 +00:05:46,870 --> 00:05:50,790 +DE .. but differing in direction .. نفس الـDE لأنه + +86 +00:05:50,790 --> 00:05:53,750 +نفس العنصر و نفس المسافة .. لكن ال direction مختلف + +87 +00:05:53,750 --> 00:05:58,360 +.. جالي عشان أشرة بدي أحلّله .. أحلّه ..بيقول اشون + +88 +00:05:58,360 --> 00:06:03,000 +in the figure خلينا نحلل بعدين شايفين الفجانية كيف + +89 +00:06:03,000 --> 00:06:07,440 +اتحللت ملاحظين واحدة positive scene والتانية + +90 +00:06:07,440 --> 00:06:13,000 +positive صار التحللية كيف بدأت تحلل ايه + +91 +00:06:13,000 --> 00:06:17,310 +صار في الصادشة بقىلغوا بعض ولا مالغوش بعض لأنهم + +92 +00:06:17,310 --> 00:06:22,030 +equal و opposite in direction إذا المجموعهم zero + +93 +00:06:22,030 --> 00:06:25,370 +بيقول I shown in the figure the vertical + +94 +00:06:25,370 --> 00:06:30,030 +components of these to feel cancel one another صح + +95 +00:06:30,030 --> 00:06:33,510 +ولا لأ؟ and this will be hard for each such pair + +96 +00:06:33,510 --> 00:06:37,910 +of elements وهذه سينطبق على كل زوج متنازر واحد فوق + +97 +00:06:37,910 --> 00:06:41,730 +واحد تحت أيش احنا فوق مركبتها الصديقة هتلاقي + +98 +00:06:41,730 --> 00:06:48,930 +تلغيها مركبتها الصديقةأي أنصر فجاني هتلاقي أنصر + +99 +00:06:48,930 --> 00:06:54,530 +مناظر إله تحت مراكباتين صاديتين يلغوا بعض بالتالي + +100 +00:06:54,530 --> 00:06:57,570 +في الآخر وانت بتجمع بيضل عندك مراكبات صادية؟ بيضلش + +101 +00:06:57,570 --> 00:07:01,370 +عندك ولا مراكبة صادية الصيني عكس بعض ولا مع بعض؟ + +102 +00:07:01,370 --> 00:07:04,390 +مع بعض، إذا بنجمع، اجمع الصيني، مافيش مشكلة كامل + +103 +00:07:04,390 --> 00:07:08,540 +للصينيإذن الآن بقولك كامل الصيني فقط ماضلش عندك + +104 +00:07:08,540 --> 00:07:10,920 +ولا مراكبة صادية إذا المشكلة في ال direction أنا + +105 +00:07:10,920 --> 00:07:15,480 +حلته الصادي راح وظال عندى الصيني هو أصلا حكالي إن + +106 +00:07:15,480 --> 00:07:19,240 +الصيني ممكن يتكامل ومافيش أي إشكالية مظبوط ولا لأ؟ + +107 +00:07:19,240 --> 00:07:23,700 +تمام إذا أنا صفيت بس بدي أكامل المراكبات الصينية + +108 +00:07:23,700 --> 00:07:27,800 +هالصادي روح وظال عندى بس المراكبات الصينية هي اللى + +109 +00:07:27,800 --> 00:07:30,400 +بدي أتمي جمع الآن أنا بدي أركز على المراكبة + +110 +00:07:30,400 --> 00:07:34,420 +الصينية شباب الصادي روح أمنة؟ مافيش عندى مراكبات + +111 +00:07:34,420 --> 00:07:39,880 +صاديةبالتالي، مجموعة الهواتف الكامة هي مجموعة من + +112 +00:07:39,880 --> 00:07:45,620 +الـ X- Components فقط المراكبات الصينية من DE التي + +113 +00:07:45,620 --> 00:07:48,100 +تم إعطائناها. كيف بدي أجيب المراكبة الصينية؟ هل في + +114 +00:07:48,100 --> 00:07:51,600 +حد ضايق اللي مايعرفش يحلل؟ دي إي كوصين الفيتا + +115 +00:07:51,600 --> 00:07:56,660 +والفيتا هيها الزاوية، خلّيني أجيبها دي إي كوصين + +116 +00:07:56,660 --> 00:08:01,320 +الفيتا وهي فيتا، صح ولا لأ؟ هي فيتا، طب فيتا هادي، + +117 +00:08:01,320 --> 00:08:08,630 +بتسويش هادي؟طيب هذه ما هي نفسها دي و هي نفسها دي + +118 +00:08:08,630 --> 00:08:12,350 +صحيح؟ كلهم نفس الزوايا لأنه مثلث مثلث ثقيل أصلا + +119 +00:08:12,350 --> 00:08:17,510 +تمام فيت عرفتها وكوصين الفيته بساوي مجاور عوطر + +120 +00:08:17,510 --> 00:08:21,790 +المجاور capital D و الوطر small a اللي هو جزر + +121 +00:08:21,790 --> 00:08:25,690 +التربيع إلى D square plus capital R square صح ولا + +122 +00:08:25,690 --> 00:08:29,130 +لأ؟ اذا انا عرفت هجدي ايه هذه توجبت أنا وياكم + +123 +00:08:29,130 --> 00:08:33,950 +كوصين الفيته جديش بالساوية قولنا كوصين الفيته + +124 +00:08:37,500 --> 00:08:41,380 +D على R صح ولا لأ؟ كورسان في كتاب السواق مجرد + +125 +00:08:41,380 --> 00:08:47,860 +عواطر و الـDE طبعا طلعت انا وياكم اذا صلي جواب KDQ + +126 +00:08:47,860 --> 00:08:53,280 +كان في R square و هنا في R صار R تكعيب R تكعيب من + +127 +00:08:53,280 --> 00:08:56,780 +فى ثغورت بيساوي capital R تربيع plus D تربيع جزر + +128 +00:08:56,780 --> 00:09:02,580 +التلاتة على اتنين تمام هى DEXلأ بقول كامل في مشكلة + +129 +00:09:02,580 --> 00:09:06,420 +في التكامل لأ لإن أنا بتعامل مع مراكبة صينية و + +130 +00:09:06,420 --> 00:09:08,900 +المراكبة الصينية ما زالها صينية بتكملها بدون أي + +131 +00:09:08,900 --> 00:09:12,300 +إشكالية بتشبع انت جامع عادي scalars خمسة I و تلاتة + +132 +00:09:12,300 --> 00:09:15,540 +I تمانية أه مافيش مشكلة صحيح ولا لأ إذا المدارس + +133 +00:09:15,540 --> 00:09:19,500 +اللي جالي هنا DEX كامل مافيش أي مشكلة عشان أكامل + +134 +00:09:19,500 --> 00:09:23,100 +مش بتطلع ثوابتي الثوابت تطلع برضه التكامل صح ولا + +135 +00:09:23,100 --> 00:09:29,620 +لأ كي ثابت في خلاف عليهاطيب و انت بتغير في العناصر + +136 +00:09:29,620 --> 00:09:34,200 +capital D بتتغير من عنصر لعنصر؟ لأ طيب و capital R + +137 +00:09:34,200 --> 00:09:38,520 +هذه من نص خطر بتتغير؟ لأ اذا انا عندي capital D + +138 +00:09:38,520 --> 00:09:43,640 +ثابتة و capital R ثابتة و K أصلا ثابتة اتطلعش + +139 +00:09:43,640 --> 00:09:47,400 +بضالة K روحت و D طلعت برا و المقام كله طلع برا + +140 +00:09:47,400 --> 00:09:53,840 +ادخل جوا دي Q بالذن جميلة Lambdaلأ لما ده عشان ما + +141 +00:09:53,840 --> 00:09:57,620 +كنت اعرف تكامل هنا لما ده مابتبزننيش ايش تكامل ال + +142 +00:09:57,620 --> 00:10:02,780 +DQ شباب او تكامل ال DQ هي الشحنة الكلية ولا لأ + +143 +00:10:02,780 --> 00:10:06,580 +الشحنة الكلية ايش قال ليه قالوا بيستوي كمية ال DQ + +144 +00:10:06,580 --> 00:10:10,940 +هو في الآخر تمام بيقولي الآن integrating this + +145 +00:10:10,940 --> 00:10:14,840 +expression we get طلعت كل ال DQ اتفقنا هو الشحنة + +146 +00:10:14,840 --> 00:10:18,520 +الكلية طبعا في ال calculusالتكامل DQ small المفروض + +147 +00:10:18,520 --> 00:10:21,240 +تكون Q small لكن بما أنه احنا عارفين في ال physics + +148 +00:10:21,240 --> 00:10:26,880 +انه تكامل DQ is the sum of Q's و ال sum of Q's هي + +149 +00:10:26,880 --> 00:10:31,360 +given capital Q بصحي اللي حطها capital Q او بالم + +150 +00:10:31,360 --> 00:10:34,300 +القلب قلص بقول عشان نحل هالمشكلة بتدوش و بتشحن + +151 +00:10:34,300 --> 00:10:36,740 +التكامل فيه زي التكامل القلب قلص بقولها دي سهلة + +152 +00:10:36,740 --> 00:10:43,100 +بعد ما تعمل هيك حكم صفر لكابتال Qصح ما هي أصغر Q + +153 +00:10:43,100 --> 00:10:46,620 +زي تقريبا 0 و أكبر Q و هي كبيرة الكيو لما تيجي + +154 +00:10:46,620 --> 00:10:52,020 +تعملها إستطلع حلت المشكلة تمام طبعا هذه مش مضرورة + +155 +00:10:52,020 --> 00:10:53,440 +أعملها لكن أنا عارف أنه والله + +156 +00:10:53,440 --> 00:10:56,740 +هااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااا + +157 +00:11:07,980 --> 00:11:12,220 +هي capital Q صح ولا لأ؟ مفهومة لأن أنا بعمل sum و + +158 +00:11:12,220 --> 00:11:17,880 +احنا فهمنا خلاص انتهى السؤال EX و هي equal هي + +159 +00:11:17,880 --> 00:11:21,880 +خلصوا الجواب بدوا احفظه؟ لأ نتيجك مثال مش مقلوب ان + +160 +00:11:21,880 --> 00:11:27,940 +احفظه مثاله خالص في المثال السابق قولت لو الرد + +161 +00:11:27,940 --> 00:11:32,120 +بعدتعامى وصالة النقطة عند المجلس التشفيعى اذا + +162 +00:11:32,120 --> 00:11:36,500 +كنتوا ذاكرين ال road بصير point طب هو ال ring لو + +163 +00:11:36,500 --> 00:11:41,320 +بعدت بتهاش ال point بتهس ال point نفس العملية اللى + +164 +00:11:41,320 --> 00:11:45,600 +بتنطبق يلا نجربه وكتش ال ring بتصير point في + +165 +00:11:45,600 --> 00:11:50,260 +حالتين شباب لما نسقط الحصر الصغير صح ولا لا او انا + +166 +00:11:50,260 --> 00:11:55,530 +بعيد عنها مظبوط ولا لاخلّيني احنا نحكي عن هذه + +167 +00:11:55,530 --> 00:12:02,810 +again for the limiting case D أكتر كتير من R في + +168 +00:12:02,810 --> 00:12:06,210 +الحالتين لما R تقول الى الـ 0 المقام بيبقى لديه + +169 +00:12:06,210 --> 00:12:10,370 +تربيع تحت صح؟ او لما D تكون كبيرة حتى لو R من + +170 +00:12:10,370 --> 00:12:13,410 +الصفر برضه روحها R بصير و كانوا عندى مليون دينار و + +171 +00:12:13,410 --> 00:12:17,290 +دينار صحيح ولا لأ؟ إذا لما D تكون أكتر كتير من R + +172 +00:12:17,290 --> 00:12:21,050 +إما R صغيرة قربة للصفر أو هي ثانية ملي ولا تلاتة + +173 +00:12:21,050 --> 00:12:22,050 +ملي وD + +174 +00:12:26,060 --> 00:12:29,220 +في الحلقين ايش بيصير المقام شباب دي تكعيب ولا مش + +175 +00:12:29,220 --> 00:12:34,900 +دي تكتيب بيصير المقام دي تكعيب وفي فوق ايش دي صارت + +176 +00:12:34,900 --> 00:12:38,320 +دي تربيع ولا لأ طلع قانون هذي طبعا في خطأ هنا هذي + +177 +00:12:38,320 --> 00:12:43,220 +المفروض دي تكعيب لان هنا في square و هنا square + +178 +00:12:43,220 --> 00:12:47,840 +بيروحوا بعض تمامهيطلع الجواب تروح تجاوب ال point + +179 +00:12:47,840 --> 00:12:51,400 +ولا ميجاوب ال point تجاوب ال point نفس القضية اذا + +180 +00:12:51,400 --> 00:12:56,760 +برضه الحل منطقي انه لما يصير ال ring point قانون + +181 +00:12:56,760 --> 00:13:02,020 +ال point is again recovered زي ما احنا عارفين + +182 +00:13:02,020 --> 00:13:07,540 +مافيش اي اشكالية تمام في مشكلة شباب مثال مشابه + +183 +00:13:07,540 --> 00:13:10,700 +حاجات بيقول ال ring + +184 +00:13:13,360 --> 00:13:16,180 +أو خلينا أول نحكي عن الجملة وبعدين بيقولي at the + +185 +00:13:16,180 --> 00:13:20,420 +center of the ring دي بتساوي سفر لما تحط دي بتساوي + +186 +00:13:20,420 --> 00:13:22,620 +سفر في الجواب شباب هنا .. حطوا دي بتساوي سفر .. + +187 +00:13:22,620 --> 00:13:26,120 +كده بيطلع الجواب؟ Zero .. بيطلع الجواب Zero عند ال + +188 +00:13:26,120 --> 00:13:29,800 +center يعني .. بيقولي طب ليش؟ comment .. عشان نعمل + +189 +00:13:29,800 --> 00:13:35,600 +comment نرجع للرسمة شباب ال point اللي هناك طيعت + +190 +00:13:35,600 --> 00:13:40,120 +ال white component صح ولا .. لو هذه النقطة شباب + +191 +00:13:40,120 --> 00:13:41,660 +صارتها + +192 +00:13:43,430 --> 00:13:46,550 +قدش في هذه الحالة دي بصير سفر لان النقطة ها دي + +193 +00:13:46,550 --> 00:13:52,060 +صبتها طلع الجرار سفر نقول ليشيقول ليش؟ لأن النقطة + +194 +00:13:52,060 --> 00:13:55,180 +هذه فيها symmetry حوالين ال X-axis و حوالين ال Y + +195 +00:13:55,180 --> 00:13:58,820 +-axis مش عند النقطة هذه ال Y-axis هيك جسمها برضه + +196 +00:13:58,820 --> 00:14:02,780 +إلى نصين نص يمين و نص شمال و المحور الصيني جسمها + +197 +00:14:02,780 --> 00:14:06,460 +إلى نصين واحد فوج و واحد تحت لما انجسمت نصين واحد + +198 +00:14:06,460 --> 00:14:10,360 +فوج و واحد تحت راحوا الصاد components ال vertical + +199 +00:14:10,360 --> 00:14:14,700 +components و لما ينجسموا واحدة يمين و واحدة شمال + +200 +00:14:14,700 --> 00:14:18,420 +ايش بيضيء ال X-components ايش ضال؟ ماضلش حاجة + +201 +00:14:18,420 --> 00:14:23,960 +خليني اعمل تجهيبأنا هاي النقطة عندي هاي عنصرية كيف + +202 +00:14:23,960 --> 00:14:28,460 +اتجاه المجال اللي هتلاقي صح طب من هذا الانصار + +203 +00:14:28,460 --> 00:14:35,440 +اجمعوهم شباب ضل المركبات الصينية ولا الصينية طيب + +204 +00:14:35,440 --> 00:14:41,780 +هاي عنصر و هاي مذابه هذا هاي مجاله و هذا هاي مجاله + +205 +00:14:41,780 --> 00:14:47,880 +جد ايه؟ برضه روح هاي عنصر و هاي عنصر هذا هيك و هذا + +206 +00:14:47,880 --> 00:14:52,850 +هيك جد ايه؟إذا في ال center ال symmetry بيقوللي + +207 +00:14:52,850 --> 00:14:57,290 +مضارناش ولا مركبة إذا المنطقه يطلع zero عوضه تطلع + +208 +00:14:57,290 --> 00:15:01,270 +zero إذا الجواب صحيح هو منطقه في الأول and ال + +209 +00:15:01,270 --> 00:15:05,270 +center zero because of the symmetry about the y + +210 +00:15:05,270 --> 00:15:09,150 +axis and about the x axis وبالتالي about the y + +211 +00:15:09,150 --> 00:15:13,190 +axisThe X component cancel and about the X axis, + +212 +00:15:13,330 --> 00:15:16,470 +the Y components cancel، وضلش عندي ولا component، + +213 +00:15:16,470 --> 00:15:19,870 +وبالتالي، المنطق يكون الـ Total electric field at + +214 +00:15:19,870 --> 00:15:23,230 +the center equal to zero، وهذا اللي طلع معايا، لما + +215 +00:15:23,230 --> 00:15:25,890 +جيت أعوضت في شكل الجواب، خُضّي بالصفر، صفر، طلع + +216 +00:15:25,890 --> 00:15:28,710 +الصفر، بقول أه صح، إذا أنا جوابي هذا بالدين + +217 +00:15:28,710 --> 00:15:33,050 +المنطق، لما ابعدت، أداني قانوني ال point، و لما + +218 +00:15:33,050 --> 00:15:35,150 +روحت على الcenter، أداني ال zero، وهذا المنطق، و + +219 +00:15:35,150 --> 00:15:41,090 +لازم يكون هيك، واضح شباب؟ تمام؟اذا عرفنا ليش zero + +220 +00:15:41,090 --> 00:15:47,590 +وعملنا comment عليه كمان مثال بيقول الآن شباب a + +221 +00:15:47,590 --> 00:15:55,010 +disk هرجيت ال ring أمانا هيك رسمتها في + +222 +00:15:55,010 --> 00:16:00,540 +ال ring انسوا ال disk في شحنات هنا؟لانها ring ال + +223 +00:16:00,540 --> 00:16:04,080 +ring من جوا فاضية جوفا الشحنات وين كانت على محيطه + +224 +00:16:04,080 --> 00:16:09,040 +بس ايش أفرج ال disk عن ال ring كله مشهور مصمت من + +225 +00:16:09,040 --> 00:16:13,400 +جوا هنا بقولي a disk of radius capital R has + +226 +00:16:13,400 --> 00:16:17,080 +uniform charge density sigma sigma يعني الشحنات + +227 +00:16:17,080 --> 00:16:21,840 +موزعة على سطح هنا كانت موزعة على خرف ع محيط و + +228 +00:16:21,840 --> 00:16:26,930 +المحيط و يحدثوا متر ولا متر تلبيامتر لأنه one + +229 +00:16:26,930 --> 00:16:30,890 +dimension المحيط اما ال disk اداني two dimensions + +230 +00:16:30,890 --> 00:16:36,070 +يعني area و ال area lambda ولا sigma طيب اعطيني + +231 +00:16:36,070 --> 00:16:39,410 +sigma و uniform charge density بيقول عشان لما تكمل + +232 +00:16:39,410 --> 00:16:42,150 +تطلع حبار التكامل sigma مظبوط ولا لا مشكلة + +233 +00:16:42,150 --> 00:16:44,190 +اتفقناها لما يكون ال charge is uniformly + +234 +00:16:44,190 --> 00:16:47,930 +distributed بتكون ال charge density constant تمام + +235 +00:16:49,190 --> 00:16:52,570 +Calculate the electric field along the x-axis of + +236 +00:16:52,570 --> 00:16:56,170 +the disk at a point P lying a distance capital D + +237 +00:16:56,170 --> 00:16:57,930 +from the center of the disk يعني هاي ال disk + +238 +00:16:57,930 --> 00:17:02,770 +شايفين؟ كل المنطقة الملونة فيها شحنات حلو؟نسقط ركب + +239 +00:17:02,770 --> 00:17:05,810 +تلقاء او Uniform بدي شدة المجال عند النقطة هديك + +240 +00:17:05,810 --> 00:17:10,130 +اللي بتبعد مسافة دي برضه تمام قطوات معروفة بدي + +241 +00:17:10,130 --> 00:17:15,070 +اجسم لعناصر صح ولا لأ و بعدين اجيب شدة المجال + +242 +00:17:15,070 --> 00:17:18,630 +الكهربائي لأحد العناصر اللي بدي اختارها في + +243 +00:17:18,630 --> 00:17:22,890 +المثالين السابقين أخدت point واشتغلت ليش أخد point + +244 +00:17:22,890 --> 00:17:26,010 +لأنه في قانون لل point صح ولا لأ المنطق هنا بدي + +245 +00:17:26,010 --> 00:17:30,210 +أخد point المفروض ان اخد point ايش بحكي هنا و + +246 +00:17:30,210 --> 00:17:34,880 +بعدين بنعلق solutionهنا نقوم بانقلاع الكتابة إلى + +247 +00:17:34,880 --> 00:17:39,820 +حلقات صغيرة ايه مااخدش points اخدي rings each of + +248 +00:17:39,820 --> 00:17:42,860 +thickness dr and charge dq و كتب لي واحد مااخد + +249 +00:17:42,860 --> 00:17:45,740 +points ليش مااخدتش points هى عبارة عن حلقات مفهومة + +250 +00:17:45,740 --> 00:17:49,900 +هي حلقات مفهومة هجيبت انا اديكم شغلة هدى لو + +251 +00:17:49,900 --> 00:17:56,220 +ديكتلكم انا عشرين ringوكل ring نسقطها أكتر من + +252 +00:17:56,220 --> 00:18:00,080 +التانية بشوية وحطتهم جوا بعد بصيروا disk ولا + +253 +00:18:00,080 --> 00:18:04,020 +بصيروا disk إذا بقدر أقول إن ال disk عبارة عن many + +254 +00:18:04,020 --> 00:18:08,880 +rings صح إذا ال ring جزء من disk إذا العنصر من + +255 +00:18:08,880 --> 00:18:13,440 +disk أمن طب ليش ماخدش point؟ بقول عشان أخد point + +256 +00:18:13,440 --> 00:18:17,140 +نشوف إيش بإن أنا أخد point هذا اللوح مساحة ولا + +257 +00:18:17,140 --> 00:18:22,500 +طول؟مساحة بدي أخد عنصر منه مجتح هو المربعات + +258 +00:18:22,500 --> 00:18:27,280 +الصغيرة عارفين؟ كل مربع عنصر و لا مش عنصر خلّيني + +259 +00:18:27,280 --> 00:18:32,220 +أعرف كبير المربع هاي عنصر هو عنصر و لا مش عنصر طيب + +260 +00:18:32,220 --> 00:18:37,880 +ارجع كمان دايما انا بحكي عنكم كون بوردجان حطوتوا + +261 +00:18:37,880 --> 00:18:41,280 +يدكم و طلعتوا بتطلعوا خيارة و لا بوردجان؟ بوردجان + +262 +00:18:41,280 --> 00:18:47,400 +يعني العنصر بيكون من جنس الكل صح؟لما تكون الكل + +263 +00:18:47,400 --> 00:18:50,460 +مساحة، العنصر مش بتكون طول ولا مساحة، قصد عنه تكون + +264 +00:18:50,460 --> 00:18:56,180 +مساحة، المساحة كان بعدي لشباب، بعدين، معناته هنا، + +265 +00:18:56,180 --> 00:19:01,200 +بتقول هنا في عندك DX و DY، و لما تيجي تشتغل في + +266 +00:19:01,200 --> 00:19:06,460 +التكامل، هيطلع معاك حاجة زي هيك، و هنا في إشي، حد + +267 +00:19:06,460 --> 00:19:09,020 +يسموه double integration، و ال double integration + +268 +00:19:09,020 --> 00:19:12,980 +عنكم سمعت فيه؟ ماعرفوشمصروا انا ماكنوا يعرفوش + +269 +00:19:12,980 --> 00:19:17,540 +بالتالي هو انا ماخد point اسهل ولا اصعب على حالي + +270 +00:19:17,540 --> 00:19:23,220 +مابدي اسهل فهمه مانهاش هو اصحى كان قاللي خد عنصر + +271 +00:19:23,220 --> 00:19:28,140 +شرطه الوحيد ان مجاله يكون معروف مش هي الشرط انا + +272 +00:19:28,140 --> 00:19:31,840 +بجيب عنصر الخطوة التالية بقولي اوجد مجال للعنصر ال + +273 +00:19:31,840 --> 00:19:36,090 +point كنت متعلق فيه لأنه فيه قانون لل pointاللي + +274 +00:19:36,090 --> 00:19:38,290 +فيه قانون لل point بس بدي أحط القانون اللي أتصور + +275 +00:19:38,290 --> 00:19:42,110 +على جنبه مانا بدي أكلمه في الآخر و بدي أشتغل ال + +276 +00:19:42,110 --> 00:19:45,210 +point جبته جبت قانونه و مفرحت عليه جيك ده كامل + +277 +00:19:45,210 --> 00:19:48,910 +ماعرفش أكامل بلاش مديش إياه قاللي طيب يا ال ring + +278 +00:19:48,910 --> 00:19:54,030 +مش انت توي جبت شدت المجال لل ring بإمكانك تشحته + +279 +00:19:54,030 --> 00:19:57,150 +اجلب صفحة بتلاقي جواب ال ring ما .. ما .. ماجبتكاش + +280 +00:19:57,150 --> 00:20:00,650 +تحفظه بلاش أنا مديكي ياه و هو موجود في الكتب اذا + +281 +00:20:00,650 --> 00:20:04,030 +قاللي خد ال ring ال ring بسهل عليك كتيرأذا أنا + +282 +00:20:04,030 --> 00:20:09,650 +شارج من ال point لأن ال point leads to a double + +283 +00:20:09,650 --> 00:20:13,890 +integration بيقديلك لشغل اسم double integration + +284 +00:20:13,890 --> 00:20:19,130 +التكامل ثنائي وهذا في مستوانة مايعرفوش طبعا في + +285 +00:20:19,130 --> 00:20:21,950 +المستوانات المتقدمة حتعرفوش بقى ومصعب لكن الأخر + +286 +00:20:21,950 --> 00:20:25,210 +أنا مش شايفهكل حاجة يبقى رخيش تعتبر صعبة في سنة + +287 +00:20:25,210 --> 00:20:27,630 +تانية هتاخد double integration لإن احنا هذا المساق + +288 +00:20:27,630 --> 00:20:32,370 +في سنة أولى ال double integration out of the scope + +289 +00:20:32,370 --> 00:20:36,370 +of this area وبالتالي بقدرش انا اتعامل معاه فبدي + +290 +00:20:36,370 --> 00:20:41,670 +اروح اشوف شغله تانية تمام اذا انا بديش ال .. ال + +291 +00:20:41,670 --> 00:20:47,690 +disk بدي ال ring وانا .. لأ و انا ماشي .. نرجع .. + +292 +00:20:47,690 --> 00:20:48,510 +نرجع .. نرجع .. + +293 +00:20:51,870 --> 00:20:55,590 +إذا أنا عرفت ليش not points شباب لأن ال points + +294 +00:20:55,590 --> 00:20:59,030 +بعطيني تكامل مزدوج double integration وبالتالي + +295 +00:20:59,030 --> 00:21:02,190 +ماعرفش أحلله جالي بسيطة إذا أنا بدي أخد ring + +296 +00:21:02,190 --> 00:21:06,090 +شايفين ال ring هادي هاي واحدة من ال rings المكوينة + +297 +00:21:06,090 --> 00:21:09,790 +لل disk ولا لأ هاي و أنا بدي عنصر واحد هاي عنصر + +298 +00:21:09,790 --> 00:21:14,310 +جالي شحنتها DQ مو جالي من أول كل عنصر شحنته DQ + +299 +00:21:14,310 --> 00:21:22,290 +العنصر صغير ولا كبير شحنته DQاتفقنا إن العنصر لابد + +300 +00:21:22,290 --> 00:21:25,490 +يكون من جنس الكل و الكل مساحة إذا لازم العنصر يكون + +301 +00:21:25,490 --> 00:21:28,550 +مساحة الحمرة هذه كيف بدأت بمساحتها و كيف بدأت + +302 +00:21:28,550 --> 00:21:32,730 +تتعامل معها جالي طولها one dimension بدي كمان + +303 +00:21:32,730 --> 00:21:36,810 +dimension إليها جالي سمك سمك ال dimension التاني + +304 +00:21:36,810 --> 00:21:42,630 +نرجع للرد الرد إيش أخدت عنصر إيه نقطة point طيب + +305 +00:21:42,630 --> 00:21:48,590 +رياضيا ال point كان dimension إليهاzero هيك + +306 +00:21:48,590 --> 00:21:53,010 +عرفتوها ال point مالهاش dimensions القصر رياضي عن + +307 +00:21:53,010 --> 00:21:56,510 +ال point zero dimension ليها X وليها Y وليها Z صح + +308 +00:21:56,510 --> 00:22:00,190 +أو لأ لكن لما أخدتها أنا عنصر من الرد اعتبرت طولها + +309 +00:22:00,190 --> 00:22:04,910 +DX ولا لأ DX يعني صغير قولت DX تقول إلى Zero عشان + +310 +00:22:04,910 --> 00:22:09,170 +كده قولت DX أنا أصلا لأنه دايما DX ايش أفرقت انا + +311 +00:22:09,170 --> 00:22:15,530 +حكيتكم إيها في فيزيا 1000 ايش أفرقت DX عن DXهذه + +312 +00:22:15,530 --> 00:22:21,870 +لما تقول إلى الـ 0 مش بتصير DX صحيح ولا لأ؟ إذن DX + +313 +00:22:21,870 --> 00:22:24,350 +دي مازال مشوفتها إذا تقول إلى الصفر، هي صغيرة + +314 +00:22:24,350 --> 00:22:29,410 +فلمّا قاللي، قاللي إن هي طول، بس هي تعتبر وكأنها + +315 +00:22:29,410 --> 00:22:34,530 +point لكن هي أصلها رد صغير، ولا لأ، هي ال road، + +316 +00:22:34,530 --> 00:22:38,390 +أنا دي بيدور رد صغير، جزء منه، إذن ال point بالرغم + +317 +00:22:38,390 --> 00:22:43,360 +إنه رياضياwithout dimension أنا لما كانت جزء من + +318 +00:22:43,360 --> 00:22:47,580 +الرد اعتبرتها with one dimension ولكن ال dimension + +319 +00:22:47,580 --> 00:22:51,480 +كان صغير يقول إلى سفر فاعتبرتها و كأنها point هنا + +320 +00:22:51,480 --> 00:22:54,840 +نفس العملية هذه ال ring الحمرة شباب لابد ان يكون + +321 +00:22:54,840 --> 00:22:58,800 +لها two dimensions ال dimension الأول هو محيطها + +322 +00:22:58,800 --> 00:23:02,380 +أمن متر ولا لأ لازم يكون لها كمان dimensions ثموكة + +323 +00:23:02,380 --> 00:23:09,970 +فالثموك تبع حدية الرمز DRDR تمام الآن بعد ما خدت + +324 +00:23:09,970 --> 00:23:14,450 +العنصر بدي أجيب سدة مجال العنصر العنصر عندي point + +325 +00:23:14,450 --> 00:23:19,350 +ولا ring؟ ring طب وقانون ال ring بدي اشحته احنا + +326 +00:23:19,350 --> 00:23:24,850 +وياكم من المثال السابق بيقوللي from the result of + +327 +00:23:24,850 --> 00:23:28,130 +the previous example بيقوللي اشحته جيبه انت جايبه + +328 +00:23:28,130 --> 00:23:31,590 +اصلا انت اللي جيبته في المثال السابق قاللي E + +329 +00:23:31,590 --> 00:23:38,560 +بتساوي K capital Qو في دي اظنني على capital R + +330 +00:23:38,560 --> 00:23:43,500 +تربية plus دي تربية يزلت تلاتة عتنين هيك الجواب + +331 +00:23:43,500 --> 00:23:48,760 +كان صح ولا لأ طب ليش هتيجي نشوف هد كيكي لكل شي كيك + +332 +00:23:48,760 --> 00:23:52,600 +capital Q شحنة ال ring كان الزمان طب شحنة ال ring + +333 +00:23:52,600 --> 00:23:57,080 +هنا أيش يعني دي كيو صح ولا لأ تمام اذا هد دي بيجيح + +334 +00:23:57,080 --> 00:24:03,620 +تصير ايش دي كيو هد دي مغيرهاش خلاها ديهذه نص قطر + +335 +00:24:03,620 --> 00:24:06,200 +ال ring ولا لأ ؟ هى نص قطر ال ring الحمرا جديش + +336 +00:24:06,200 --> 00:24:12,360 +small r فجالى هذه لصي ال small r صحيح حاطى جواب هى + +337 +00:24:12,360 --> 00:24:18,660 +طلعى تمام شباب اذا دي اي مش اي دي اي الأهم عنصر + +338 +00:24:18,660 --> 00:24:22,940 +هذا جزء من المجارى الكهربائى جزء لان المجارى + +339 +00:24:22,940 --> 00:24:25,200 +الكهربائى جاي من كل ال disk مش من ال ring واحدة + +340 +00:24:25,200 --> 00:24:31,680 +جول ال دي اي بيسوي كىبدل ال capital Q حضّي ال DQ + +341 +00:24:31,680 --> 00:24:35,860 +لأن هذه شحنة ال ring دي ضالة زي مدهية و في المقام + +342 +00:24:35,860 --> 00:24:39,900 +R تربية زي D تربية الان بقول كامل و قبل ما تكامل + +343 +00:24:39,900 --> 00:24:43,240 +اطلع ال directions ال directions انا مرتاح منه ليش + +344 +00:24:43,240 --> 00:24:47,080 +لأنه في ال rings جالي اصلا في شكل زي هذا المجال + +345 +00:24:47,080 --> 00:24:51,620 +صيني بس مش صاضي ذكرين ان الصاضي روح؟إذا المجال + +346 +00:24:51,620 --> 00:24:55,860 +صيني غير ال ring صغيرها أو كبيرها بيظل المجال صيني + +347 +00:24:55,860 --> 00:24:58,220 +إذا انت مافيش عندك مشكلة في التكامل كامل و انت + +348 +00:24:58,220 --> 00:25:02,680 +مغمض لأنه بتكامل كله مراكبات صينية لعنكاف مراكبات + +349 +00:25:02,680 --> 00:25:05,660 +صغيرة لا تحلل و لا تغلب حالك من أول انت شاحت شغل + +350 +00:25:05,660 --> 00:25:09,360 +جاهزة انها صينية و خالصة مظبط ولا لأ من المثال + +351 +00:25:09,360 --> 00:25:13,860 +السابق فبقولي integrating the last result we get + +352 +00:25:13,860 --> 00:25:20,140 +نطلع ثوبتنا capital D ثابتة و K ثابتة المقام ثابت + +353 +00:25:23,190 --> 00:25:28,050 +لو غيرت اللون تبعت الحمرض تصغر و تكبر ولا ده R اذا + +354 +00:25:28,050 --> 00:25:31,850 +ال R is variable not constant اذا المقام خالي جوا + +355 +00:25:31,850 --> 00:25:40,120 +حلو كمان؟طاقة كامله هذا فوق dq variable و small r + +356 +00:25:40,120 --> 00:25:45,500 +variable بدي علاقة بين q و r ولا لأ بدي ال charge + +357 +00:25:45,500 --> 00:25:52,920 +density بتعطيني لأن ر dimension و q كلوم كلوم و + +358 +00:25:52,920 --> 00:25:56,260 +dimensions متر ولا متر تربيع ولا متر تتعيب معناته + +359 +00:25:56,260 --> 00:26:00,680 +lambda sigma او rho طبعا عندي هنا sigma صح ولا لأ + +360 +00:26:00,680 --> 00:26:06,780 +اذا بدي علاقة بين dq و rأنا الأن شباب دي كيو + +361 +00:26:06,780 --> 00:26:14,280 +بتساوي سيجما في دي إيه مش أخدناها لنشوف وين ال دي + +362 +00:26:14,280 --> 00:26:26,920 +إيه هانصري هجيب جالي هنا سيجما بتساوي دي + +363 +00:26:26,920 --> 00:26:30,600 +كيو على دي إيه هاي القانون تبعي بتستخدمه صح ولا لأ + +364 +00:26:30,600 --> 00:26:37,000 +هجيب هذه الشي يعنيمساحة العنصر وهذه شحنة العنصر صح + +365 +00:26:37,000 --> 00:26:43,240 +ولا لأ؟ يعني هذه المساحة الموزعة عليها الشحنة صح؟ + +366 +00:26:43,240 --> 00:26:47,540 +لما قلت دي Q يعني الشحنة على قط الأحمر ولا لأ؟ طب + +367 +00:26:47,540 --> 00:26:53,300 +أخدي المساحة إيه؟ بدي مساحة المنطقة الحمراءبدي + +368 +00:26:53,300 --> 00:26:58,500 +مساحة المنطقة الحمراء هل هي by our تربيع طانق + +369 +00:26:58,500 --> 00:27:03,680 +تربيع لأ طانق تربيع بتديك المساحة كلها هجيب طانق + +370 +00:27:03,680 --> 00:27:06,960 +تربيع مش بتديك هذه المساحة انا بديش هذه انا بس بدي + +371 +00:27:06,960 --> 00:27:14,160 +هذه كيف أسويها جالي سهلة ربنا خلج المنشطر ولا لأ + +372 +00:27:14,160 --> 00:27:21,160 +قصها ال ring و اعدلها ايش بصير بصير عندك مستطيل صح + +373 +00:27:22,480 --> 00:27:30,340 +عرض المستاطيل يقولكم إيش بيساوي VR السمك صح ولا + +374 +00:27:30,340 --> 00:27:35,800 +يأكت هاجي و ويرا جسيتها و فرجتها السمك مش صار عرض + +375 +00:27:35,800 --> 00:27:43,160 +طب الطول إيش هو المحيط المحيط طب مساحة المستاطيل + +376 +00:27:43,160 --> 00:27:48,090 +بتساوي طول بعرض ولا لأ؟إذا مساحة المنطقة الحمرة + +377 +00:27:48,090 --> 00:27:53,650 +بتساوي المحيط اتنين باي ار في السمك دي ايش السمك + +378 +00:27:53,650 --> 00:27:58,950 +دي ار دي ار هيتلعي جوان تمام إذا مساحة المنطقة + +379 +00:27:58,950 --> 00:28:05,750 +الحمرة عرفتها إذا نبدأ دي ايه شباب دي ايه مساحة + +380 +00:28:05,750 --> 00:28:11,530 +العنصر مساحة المنطقة الحمرة بتساوي المحيط في السمك + +381 +00:28:11,530 --> 00:28:18,550 +two pi r d r طلع فكرةبدل دي Q طلعش في صفنا دي R دي + +382 +00:28:18,550 --> 00:28:25,430 +R و R بعرف اكملها تمام عوض عوضنا طلعوا حدود + +383 +00:28:25,430 --> 00:28:31,530 +التكامل من صفر اللي كابت ال R ليش؟ لو رجعنا للرسمة + +384 +00:28:31,530 --> 00:28:34,690 +ده اللي ها دي ring طب عشان اتكمل كل ال desk كام + +385 +00:28:34,690 --> 00:28:40,590 +ring بيدك؟ اتديت rings طيب اول ring او اصغر ال + +386 +00:28:40,590 --> 00:28:44,430 +ring اديش نسقطها بيكون؟ صفر الصفر و اخر واحدةعشان + +387 +00:28:44,430 --> 00:28:47,210 +كده انت تحظر التكامل ليش انا دورت على نص القطر + +388 +00:28:47,210 --> 00:28:50,450 +لانه انت لما تغيري بتكامل عليه R وR هى نص قطر ولا + +389 +00:28:50,450 --> 00:28:57,710 +لأ اذا بتدور على نص قطر اصغر عنصر و نص قطر اكبر + +390 +00:28:57,710 --> 00:29:02,490 +عنصر ممكن عندك فاصغر عنصر لازم يكون نص قطره صفر و + +391 +00:29:02,490 --> 00:29:06,010 +اكبر عنصر نص قطره كبتر R اذا حدود تكاملك عشان + +392 +00:29:06,010 --> 00:29:11,130 +يغطيلك كل ال disk بيكون من صفر لكبتر R فطلعنا + +393 +00:29:11,130 --> 00:29:15,720 +وجينا هت الحدودأخدتها في الكاركولاز كيف تتكامل + +394 +00:29:15,720 --> 00:29:24,020 +وهذه؟ لو قلت R تربيع plus D square بتسويه بيصيح + +395 +00:29:24,020 --> 00:29:30,300 +اتنين R دي R ايه بتسويه؟ مش فاكر اخدناها؟ اذا هذا + +396 +00:29:30,300 --> 00:29:34,600 +التكامل ايش بيصير؟ بيصير تكامل اتنين R دي R هذي + +397 +00:29:34,600 --> 00:29:39,380 +شايفينها؟ مشيها في البص؟ مشيها في البص؟ وش في + +398 +00:29:39,380 --> 00:29:47,240 +المقام صار؟ لا مش لين؟لأ ديش لين هي du على u دي u + +399 +00:29:47,240 --> 00:29:52,060 +على u لين طلعت هيك يعني هذه بالساوي تكامل u سالب + +400 +00:29:52,060 --> 00:29:59,520 +ثلاثة ع اتنين du ولا لأ و بتساوي u سالب نص و في + +401 +00:29:59,520 --> 00:30:04,460 +عندك هنا سالب اتنين مش ميتقسم مع سالب نص هاي + +402 +00:30:04,460 --> 00:30:10,700 +الجواب طب u ايش بالساوي ما هيبتطلح في ال calculus + +403 +00:30:10,700 --> 00:30:14,340 +خدتوها فاضلا اللي فهمت و انا خدتوها و لسه ماصلتوش + +404 +00:30:14,340 --> 00:30:22,220 +لها خدتوها هنا شباب فيزيا خلصت ما تبقى calculus + +405 +00:30:22,220 --> 00:30:27,900 +اما الفيزيا خلصت الحدود فيزيا بعد كده calculus هذه + +406 +00:30:27,900 --> 00:30:31,720 +لما كملتها و هذه بتاعة هذه الصيغة معروفة و محتوطة + +407 +00:30:31,720 --> 00:30:34,540 +حتى في جد تكتب ال calculus ممكن تبقى مشهورة هذا + +408 +00:30:34,540 --> 00:30:39,520 +التكامل يعني سهل طلعت هيك شبابطلعت هيك طلعت اعوضت + +409 +00:30:39,520 --> 00:30:43,960 +طلعت هادية شكل one minus D على ال square root D + +410 +00:30:43,960 --> 00:30:47,240 +squared plus R squared طبعا نتيجة ولا بدي احفظها + +411 +00:30:47,240 --> 00:30:50,520 +ولا بدي احكي عمال ال R اللي تديها هذا السمك تساوي + +412 +00:30:50,520 --> 00:30:55,560 +نص الفطوة لأ افكر في نفس ال run اه لأنها جزء منها + +413 +00:30:55,560 --> 00:31:03,200 +لأنها جزء منها حاضر بهمش هجيتله + +414 +00:31:03,200 --> 00:31:09,200 +و قولتلك انا نرجع لل roadمش كانت هيك؟ الحاجات هذه + +415 +00:31:09,200 --> 00:31:15,100 +كانت أخدها DX والمسافة هذه أخدتها X لماذا؟ لأن X + +416 +00:31:15,100 --> 00:31:19,180 +كترها شوية بدي تزيد إلى هذا شوية شوية DX DX DX طيب + +417 +00:31:19,180 --> 00:31:23,020 +طلع DR DR السمك باتجاه أنصاف الأقطار ولا لأ يا + +418 +00:31:23,020 --> 00:31:27,400 +شباب؟ باتجاه أنصاف الأقطار DR ولا لأ السمك باتجاه + +419 +00:31:27,400 --> 00:31:32,120 +نص القطر بدي يكون؟ صح هنا الطول العنصر باتجاه + +420 +00:31:32,120 --> 00:31:35,990 +السينيعشان كده خدت دي اكس هناك مالي ايش بتاخده دي + +421 +00:31:35,990 --> 00:31:39,450 +R لانه باتجاه نصف الأقطار فهي جزء يعني كامل ال R + +422 +00:31:39,450 --> 00:31:46,870 +بيكون يعني بمعنى أخر مفروض دي R بتساوي R2 نقص R1 + +423 +00:31:46,870 --> 00:31:51,650 +وR2 أكبر من R1 بشوية تمام فهي باتجاه نصف الأقطار + +424 +00:31:51,650 --> 00:31:55,610 +عشان كده أديتها نفس الرمز بنفس الاتجاه تمام + +425 +00:31:58,700 --> 00:32:03,280 +زي اتفقنا نطلع نهاية النتيجة النتيجة خلصت برضه بدي + +426 +00:32:03,280 --> 00:32:07,120 +أعلج عليها شوية و بديش أخليها point الآن بدي + +427 +00:32:07,120 --> 00:32:09,580 +أخليها شغلها غير ال point ال point أملنا فيها و + +428 +00:32:09,580 --> 00:32:12,540 +خلصناها في ال ring of rod بيقوللي هذا ال disk اللي + +429 +00:32:12,540 --> 00:32:13,400 +انت شايفه + +430 +00:32:16,440 --> 00:32:21,580 +يكون very large plane very large plane يعني لو + +431 +00:32:21,580 --> 00:32:24,420 +قالك very large plane جديش مجاله بقول له هذا plane + +432 +00:32:24,420 --> 00:32:27,640 +ما هو just plane ولا لأ عشان يكون very large في + +433 +00:32:27,640 --> 00:32:31,720 +عندي حالتين اما يكون نسقطره approaches infinity + +434 +00:32:31,720 --> 00:32:38,900 +كبير صح ولا لا هي large نسقطره معناه نهاية او اجرب + +435 +00:32:38,900 --> 00:32:43,800 +عليه كتير شبابأجرب عليه كتير يعني أديكم مثال بسيط + +436 +00:32:43,800 --> 00:32:48,500 +لو جيبت نملة و حطتها على ظهر الفيل و قولت للنملة + +437 +00:32:48,500 --> 00:32:51,780 +أيش أخبار الفيل؟ بتقول عنه محيط مش عارف أول و من + +438 +00:32:51,780 --> 00:32:57,700 +آخر صح ولا لأ ويه؟ هي جريب عليه و وارفة عليه الجوف + +439 +00:32:57,700 --> 00:33:01,660 +جبت النملة نفسها و طيب و حطتها على طيارة فوق قولت + +440 +00:33:01,660 --> 00:33:06,100 +له أيش أخبار الفيل؟ بتقول عنه نملةصار صح ولا لأ؟ + +441 +00:33:06,100 --> 00:33:12,180 +تمام؟ اذا لما انا اجرب على شي يبدو كبير يعني مثال + +442 +00:33:12,180 --> 00:33:15,840 +اخر لو جبت واحد منكم و بيعرفش الحيطة هذه بالمرة و + +443 +00:33:15,840 --> 00:33:18,620 +قولتله لزج في الحيطة حط وجهك على الحيطة و بقى رالج + +444 +00:33:18,620 --> 00:33:21,140 +و قولتله الحيطة مستطيل ولا دويرة و بقوله بدي اطلع + +445 +00:33:21,140 --> 00:33:24,270 +فوق و بقوله ماما بطلع فوق و قوله والله مابعرفممكن + +446 +00:33:24,270 --> 00:33:28,350 +تكون دويرة و ممكن تكون مستطيل لإيش؟ لأن هو مش شايف + +447 +00:33:28,350 --> 00:33:32,470 +أولها من آخرها هو بيعتبرها كتيرة إذا أنا عشان يكون + +448 +00:33:32,470 --> 00:33:35,390 +عندي very large plane في عندي حالتين إما ال plane + +449 +00:33:35,390 --> 00:33:39,110 +أصلا يكون كبير يعني مع أبعاده مانا نهاية أو أنا + +450 +00:33:39,110 --> 00:33:41,970 +أكون جريب عليه كتير لما أكون جريب عليه كتير يعني + +451 +00:33:41,970 --> 00:33:45,610 +دي تقول إلى ال zero أجرب عليه كتير في الحالتين + +452 +00:33:45,610 --> 00:33:48,870 +شباب اتطلعوا على النتيجة لما دي goes to zero إيش + +453 +00:33:48,870 --> 00:33:56,410 +بيصير في الحد التاني؟ الحد هذاحط دى محله سفر روح + +454 +00:33:56,410 --> 00:34:03,350 +فلو R goes to ملا نهاية R صارت كبيرة كتير برضه سفر + +455 +00:34:03,350 --> 00:34:08,610 +صح ولا لأ اذا اما دى goes to zero او R goes to ملا + +456 +00:34:08,610 --> 00:34:11,850 +نهاية في الحالتين بصرف عندي large plane فبيقوللي + +457 +00:34:15,190 --> 00:34:21,110 +الشعور بالإنترنت لطاقة كبيرة يمكن أن يتم إيجاده من + +458 +00:34:21,110 --> 00:34:26,150 +النتيجة الأخيرة بإيقاف إما R يذهب إلى مدى نهاية أو + +459 +00:34:26,150 --> 00:34:27,310 +D يذهب إلى نهاية. + +460 +00:34:31,760 --> 00:34:35,860 +في هذا التقيم ايش صار؟ روح في الحالتين ايش بيطلع + +461 +00:34:35,860 --> 00:34:42,860 +النتيجة؟ هده هي هذه K زاكرينها زمان في اول محاضرة + +462 +00:34:42,860 --> 00:34:49,770 +واحد على اربعة by epsilon noteأوّفت عنها فوق و هنا + +463 +00:34:49,770 --> 00:34:55,790 +في 2 ضال 2 هنا في باي و هنا في باي روحت و ابسلن + +464 +00:34:55,790 --> 00:34:58,750 +نوت ضال هنا سجن على 2 ابسلن نوت بتضع نتيجة مابيديش + +465 +00:34:58,750 --> 00:35:03,570 +احفظها يا شباب بس الشطر اللي ورا هيجيني كمان مثال + +466 +00:35:03,570 --> 00:35:07,950 +احسب شدة المجال ل very large plain بدي اقارنها + +467 +00:35:07,950 --> 00:35:12,970 +اقولكم زمان حسب معاهاواطلع عليها و هيطلع معايا + +468 +00:35:12,970 --> 00:35:16,390 +نفسي تجاوب واضح؟ يعني هي دي بس مجرد عشان بدنا + +469 +00:35:16,390 --> 00:35:21,690 +نقارن فيها في ال chapters كيف + +470 +00:35:21,690 --> 00:35:25,630 +يعني زي هي؟ زي السؤال هذا؟ اه ليه هو الجيش؟ مش هذا + +471 +00:35:25,630 --> 00:35:31,250 +مثال؟ حاجة صعيب؟ صعب تاخده عنصر؟ حاجة انت؟ ايش هي + +472 +00:35:31,250 --> 00:35:33,890 +الفكرة اللي جمعناها؟ لما يكون عندك desk ايش عنصر + +473 +00:35:33,890 --> 00:35:38,540 +بيك تاخده؟فرينز هتتقللوا ال ring .. كده تحفظانة + +474 +00:35:38,540 --> 00:35:42,520 +مادكية .. بتاع ما .. بعد كده هتجيبها تعمل كامل .. + +475 +00:35:42,520 --> 00:35:46,360 +تجيب علاقة ما بين ال Q و المساحة .. تقدر تجيبها .. + +476 +00:35:46,360 --> 00:35:49,080 +هنهي .. هنهي اللي بنعمله .. فانا هتعلمت ان كيف + +477 +00:35:49,080 --> 00:35:52,360 +تجيب المساحة .. مساحة ال ring .. اتنين by RDR .. + +478 +00:35:52,360 --> 00:35:54,340 +معلومة .. بتاخدوها .. و الكلمة التانية اللي كده + +479 +00:35:54,340 --> 00:35:58,560 +جيبتها .. محيط في السوق .. فده ده .. بتلاحظوا دي + +480 +00:35:58,560 --> 00:36:03,270 +التكلمة .. ممكن تتعرف ..مش فعلا شكل جديد .. شكل + +481 +00:36:03,270 --> 00:36:06,230 +جديد .. شوف تلاقي ال ring غير عن ال disk غير عن ال + +482 +00:36:06,230 --> 00:36:10,410 +rod لكن عندك هتشوف الأسلحة في disk بس شوية زرقه و + +483 +00:36:10,410 --> 00:36:19,190 +قبره .. حاجة زي هيك .. يا حكيه .. لأن + +484 +00:36:19,190 --> 00:36:23,250 +فيه شحناته لأنه هنا beta و هنا ال zero جربت عليه + +485 +00:36:23,250 --> 00:36:27,730 +فبطلع سجن على تلفزيون ال rodمجنونش يا جي سيجن بقى + +486 +00:36:27,730 --> 00:36:31,430 +جرب عليه ان انا صوت ع ال field هاي مناسبة على سلطة + +487 +00:36:31,430 --> 00:36:34,110 +هذه مناسبة على ال field على نص ال .. على النص ولا + +488 +00:36:34,110 --> 00:36:39,330 +فوق بتفهمش ما حد كده تمام؟ + +489 +00:36:39,330 --> 00:36:41,870 +the electric field lines الموضوع الثالث ال + +490 +00:36:41,870 --> 00:36:43,650 +electric field lines احنا اتفقنا احنا وياكم يا + +491 +00:36:43,650 --> 00:36:49,830 +شباب ان كل شحنة لها مجال صح ولا لأ كيف كنت اعرف ان + +492 +00:36:49,830 --> 00:36:54,680 +في مجال ولا فيش مجال؟كنا نحط شحنة بمعنى آخر أنا + +493 +00:36:54,680 --> 00:36:59,820 +المجال بشوفه في العيني؟ لأ بشوفهش بحس بتأثيره طيب + +494 +00:36:59,820 --> 00:37:02,660 +العلماء لما أجى فكر فرضايا كيف بكرا بدأ أرسم في + +495 +00:37:02,660 --> 00:37:08,000 +الكتاب؟ وكيف بدي أكتب في الدفتر و أرسم على اللوح؟ + +496 +00:37:08,000 --> 00:37:12,020 +منطقة فيها مجال ومنطقة مش فيها مجال؟ إذا لازم نتفق + +497 +00:37:12,020 --> 00:37:16,440 +على إن هذا المجال إن مثلوب شغلة معينة نتفق عليها + +498 +00:37:16,440 --> 00:37:19,960 +احنا العلماء هذه الشغلة سموها الـElectric Feed + +499 +00:37:19,960 --> 00:37:23,600 +Linesعشان لما ارسم هقول انا هنا في مجال بديش انا + +500 +00:37:23,600 --> 00:37:25,960 +اظن و انا على اللوح ولا و انا في الكتاب ولا في + +501 +00:37:25,960 --> 00:37:28,700 +الدكتورات اقول فالله هنا شحنة ولا فش شحنة لان انا + +502 +00:37:28,700 --> 00:37:32,520 +ارسمها شحنة حقيقية ولا رسمها فهي رسمة يعني لو جيبت + +503 +00:37:32,520 --> 00:37:37,620 +انا شحنة حقيقية تتخرج لأ انا بدي كل رسم برسم خلنا + +504 +00:37:37,620 --> 00:37:41,940 +نتفق على رسم فبقولي the electric field in a region + +505 +00:37:41,940 --> 00:37:47,360 +المجاري الكهربائي في اي منطقة اتفق على انها is + +506 +00:37:47,360 --> 00:37:52,320 +represented by imaginary linesخطوط وهمية قبعا + +507 +00:37:52,320 --> 00:37:56,540 +وهمية انا باسمها بس عشان اتديرلي ان في مجال و لا + +508 +00:37:56,540 --> 00:38:00,020 +مجال is represented by imaginary lines known as + +509 +00:38:00,020 --> 00:38:04,600 +electric field lines هي خطوط وهمية مرات بيسموها + +510 +00:38:04,600 --> 00:38:08,320 +lines of force خطوط القوة خطوط القوة مش مشكلة + +511 +00:38:08,320 --> 00:38:08,600 +الاسم + +512 +00:38:11,390 --> 00:38:15,110 +فرده مش خضر يمين اللي اختارها احنا بنعرفها وصلنا + +513 +00:38:15,110 --> 00:38:17,990 +متجولين عليها these lines have the following + +514 +00:38:17,990 --> 00:38:23,410 +properties عشان لما انا ارسم خطوط مجال لشكل واحد + +515 +00:38:23,410 --> 00:38:26,930 +في الصين او واحد في روسيا او واحد في جنوب أفريقيا + +516 +00:38:26,930 --> 00:38:29,750 +يرسم خطوط مجال لنفس الشكل لازم يطلع نفس الخطوط + +517 +00:38:29,750 --> 00:38:34,650 +المجال ولا لأ عشان هذي يصير لازم نتفق على خواص كنا + +518 +00:38:34,650 --> 00:38:39,200 +هرسم طبعا لها صح ولا لأطيب، إيش هي الخواص؟ أول + +519 +00:38:39,200 --> 00:38:42,520 +حاجة وعلينا نشوف الخواص كلنا بنعرفها بيقولي the + +520 +00:38:42,520 --> 00:38:44,840 +direction of the lines at any point is the + +521 +00:38:44,840 --> 00:38:47,480 +direction of the electric field at that point انت + +522 +00:38:47,480 --> 00:38:50,720 +بترسم خطوط و الخطوط اللي هأسهم طب خلص سهل مع + +523 +00:38:50,720 --> 00:38:55,480 +المجال طب المجال انت بتعرف تحدد اتجاهه شباب؟ مش + +524 +00:38:55,480 --> 00:38:58,860 +تبعل الشحنة؟ إذا كان موجب outward وإذا كان + +525 +00:38:58,860 --> 00:39:02,280 +negative inward؟ إذا أنا ماعرف أحد اتجاه طيب إذا + +526 +00:39:02,280 --> 00:39:08,130 +الخط هاي عرفته هاي أول خاصية سهلةبقول هذا بيعني ان + +527 +00:39:08,130 --> 00:39:12,670 +الارواح يجب ان تبدأ في مواصفات افضل و تنتهي في + +528 +00:39:12,670 --> 00:39:18,970 +مواصفات افضل اذا positive out و negative into اذا + +529 +00:39:18,970 --> 00:39:21,910 +ببدأ من ال positive و بطلع من ال positive و بنتهي + +530 +00:39:21,910 --> 00:39:25,430 +وين عندي ال negativeشغلة منطقية برضه من الخواص انا + +531 +00:39:25,430 --> 00:39:29,670 +بعرفها اذا begins او the lines begin at positive + +532 +00:39:29,670 --> 00:39:34,150 +charges and terminate بينتهي معناه terminate at + +533 +00:39:34,150 --> 00:39:36,730 +negative charges بينتهي عندى negative charges + +534 +00:39:36,730 --> 00:39:40,610 +الشغل التانى بيقول ان انا بدرسم خطوط لو مافيش ولا + +535 +00:39:40,610 --> 00:39:44,670 +خط كده المجال بيكون؟ صفر فده هو عصمة خمس خطوط ولا + +536 +00:39:44,670 --> 00:39:49,690 +عشر خطوط؟العشرة أكبر ولا لا؟ إذا معناته عدد الخطوط + +537 +00:39:49,690 --> 00:39:54,050 +بده يتناسب مع مقدار المجال ولا لا؟ طبعا عدد الخطوط + +538 +00:39:54,050 --> 00:39:57,250 +تصفد العربة تبشغلة بمعنى أخر، مين سكان أكبر يا + +539 +00:39:57,250 --> 00:40:01,270 +شباب، غزة ولا القاهرة؟طب مين كثافتها أكتر؟ غزا ولا + +540 +00:40:01,270 --> 00:40:04,950 +القاهرة؟ إذا إيش أعمل إن لما جولنا كثافة حطنا عن + +541 +00:40:04,950 --> 00:40:08,310 +المساحة صح ولا لأ؟ وفي نفس العملية، بديش أنا عدد + +542 +00:40:08,310 --> 00:40:12,190 +الخطوط بس، بدي أدرُع عملها، أربطها بالمساحة، ويصير + +543 +00:40:12,190 --> 00:40:17,390 +كثافة الخطوط هي اللي بتدل على جداش المجال، كل ما + +544 +00:40:17,390 --> 00:40:22,090 +كانت المخطوط كثيفة، كل ما كان المجال كبير، صح ولا + +545 +00:40:22,090 --> 00:40:27,380 +لأ؟ فبقوللي، the number of lines per unit areaزي + +546 +00:40:27,380 --> 00:40:31,560 +لما أقول عدد البناء جميع لكل وحدة مساحة هذه + +547 +00:40:31,560 --> 00:40:35,080 +الكثافة بال unit area طبعا perpendicular to E عشان + +548 +00:40:35,080 --> 00:40:37,980 +نكون متعامد و نتفق عليها is proportional to the + +549 +00:40:37,980 --> 00:40:42,540 +magnitude of E in that region يكون متناسب مع شدة E + +550 +00:40:42,540 --> 00:40:45,700 +برضه هذه شغلة سهلة و معروفة بيقول يهدد تلاتة عشان + +551 +00:40:45,700 --> 00:40:51,160 +تصير صح مش هتلاقي خطين بتقطعno two field lines can + +552 +00:40:51,160 --> 00:40:54,380 +cross ولا ممكن يتقاطع و إلا بصي فيه خلال في ال + +553 +00:40:54,380 --> 00:40:58,260 +directions و خلال في شغلات كتيرة طبعا لو إيدينا + +554 +00:40:58,260 --> 00:41:02,860 +نصهم أنا جالب منكم رسمة من ال net هدول شوفوا ال + +555 +00:41:02,860 --> 00:41:06,860 +positive شباب outward لو أنا سألكم الآن اتجاه + +556 +00:41:06,860 --> 00:41:11,700 +المجال هنا كيف outwardنفس الخطة لنا .. اذا الخصية + +557 +00:41:11,700 --> 00:41:15,400 +الأولى هى اتحققت .. تمام شغل تانى .. طبعا هنا نفس + +558 +00:41:15,400 --> 00:41:17,740 +العملية .. هنا نفس العملية .. كله مع الخطوط طب هنا + +559 +00:41:17,740 --> 00:41:23,000 +تجاه المجال كيف؟ فضاحة .. اذا صحيح .. طيب شغل تانى + +560 +00:41:23,000 --> 00:41:28,960 +.. رجلي عدد خطوط المجال هنا و هنا .. خطوط المجال + +561 +00:41:28,960 --> 00:41:35,690 +.. طبعا نفس المساحة ..الأولى كم خط فحّة، التانية + +562 +00:41:35,690 --> 00:41:39,690 +إن الكتابة هو الأكتر في الأولى، وهذا المجال أكبر + +563 +00:41:39,690 --> 00:41:42,890 +ولا مش مجال أكبر؟ صح لأنه أقرب، إذن برضه منطقي إن + +564 +00:41:42,890 --> 00:41:47,370 +عدد خطوط المجال تتناسب .. كل واحدة في مساحة تتناسب + +565 +00:41:47,370 --> 00:41:50,390 +مع شدة المجال برضه منطقي، وطبعا واضحين إن مافيش + +566 +00:41:50,390 --> 00:41:53,620 +عندك خطوط بتتقاطعهذه positive وهذه negative لما + +567 +00:41:53,620 --> 00:41:56,480 +يكون عندك positive و negative يكون اتجاه begin at + +568 +00:41:56,480 --> 00:42:00,080 +positive and terminate at negative يبدأ من ال + +569 +00:42:00,080 --> 00:42:02,480 +positive وينتهي عند ال negative هنا طبعا في + +570 +00:42:02,480 --> 00:42:06,280 +positive و في positive بنتيجة الخط يبدأ و يبحث عن + +571 +00:42:06,280 --> 00:42:08,520 +ال negative يبقى يبحث عني عندما يجيه مابنقهش و + +572 +00:42:08,520 --> 00:42:11,660 +يبقى براحه تمام؟ مافيش عنده نهاية لأن مافيش + +573 +00:42:11,660 --> 00:42:15,520 +negative يتشارج حواليه to terminate the other طبعا + +574 +00:42:15,520 --> 00:42:19,660 +هذه خطوة معروفة جاية من أحد الأمثلة هذه سهلة سهلة + +575 +00:42:21,980 --> 00:42:27,100 +هان و هان المجال هنا أضعف من هنا طب لو حكالي شباب + +576 +00:42:27,100 --> 00:42:31,680 +انا عندي خطوط مجال زي ذلك متوازية بدأ اقصمهم + +577 +00:42:31,680 --> 00:42:40,940 +احكيهم خطوط + +578 +00:42:40,940 --> 00:42:44,720 +المجال جالين هيك ولا عشان بيكون المجال يعني خطوط + +579 +00:42:44,720 --> 00:42:46,980 +المجال بيبقى متنقل من المجال المعلومة الأولى اللي + +580 +00:42:46,980 --> 00:42:49,760 +حكيتها كل ما بعدنا من جوبيل و لا جوبيل + +581 +00:42:52,740 --> 00:42:56,620 +يعني خطوط المجارة إجت عشان المعلومات السابقة + +582 +00:42:56,620 --> 00:43:00,340 +أشوفها بس، ان كل ظهر عندي كرسي، لكن المعلومات + +583 +00:43:00,340 --> 00:43:04,100 +ماتغيرتش، ان كل مبادئ عن الشحنة، بدكون المجار إيش + +584 +00:43:04,100 --> 00:43:08,120 +صار فيه؟ يقل، ان انت توقع من التعريف أن خطوط + +585 +00:43:08,120 --> 00:43:12,680 +المجارة تقل كثرتها، بس، هي المعلومة واحدة، بس هذه + +586 +00:43:12,680 --> 00:43:17,480 +عشان تتأكد المعلومة وترسم المعلومةهذه خطوط شباب + +587 +00:43:17,480 --> 00:43:20,780 +متوازية اعتبروها لو انا دي بيتمساحها زي هيك + +588 +00:43:20,780 --> 00:43:25,740 +ومساحها زي هيك اتغيره الكثافة واحدة ولا لا ان لما + +589 +00:43:25,740 --> 00:43:29,400 +يقول لي uniform electric field كي بدرسم الخطوط + +590 +00:43:29,400 --> 00:43:32,900 +متوازية يعني ال uniform electric field لازم تكون + +591 +00:43:32,900 --> 00:43:36,340 +الخطوط متوازية عشان الكثافة تكون ثابتة في الخطوط + +592 +00:43:36,340 --> 00:43:41,760 +المتوازية الكثافة بتكون ثابتة لكن لما هيطبعا واضح + +593 +00:43:41,760 --> 00:43:45,300 +ان هي كذا فكرة فظبط ولا لأ اذا لما يقول انه form + +594 +00:43:45,300 --> 00:43:49,460 +of natural field برسمها بخطوط متوازية طيب اخر حاجة + +595 +00:43:49,460 --> 00:43:55,740 +في هذا الشطةحكاية للتالي قال انت في بداية الشطر + +596 +00:43:55,740 --> 00:43:59,360 +ربطت الفيزيائي في الفيزيا با لما جبت ال two + +597 +00:43:59,360 --> 00:44:03,020 +spheres علقتهم و اتنفروا و صاروا equilibrium + +598 +00:44:03,020 --> 00:44:07,400 +ذاكرينه و حطينا شرط ال equilibrium و حلنا ايش وجد + +599 +00:44:07,400 --> 00:44:11,420 +عندك قوة كهربية صح ولا قوة كهربية زي هذه الشدعة + +600 +00:44:11,420 --> 00:44:15,840 +اتعاملتنا معاها زي هذه الوزن الان بيقولك كمان في + +601 +00:44:15,840 --> 00:44:19,340 +عندك معلومة و انت تشرح في شدة المجال الكهربائي + +602 +00:44:19,340 --> 00:44:23,540 +بقول الشحنة حطتها في مجال ايش بدوصل فيها؟تتعرض + +603 +00:44:23,540 --> 00:44:27,700 +لقوة .. قوة كهربية مظبوط ولا لأ؟ طب القوة الكهربية + +604 +00:44:27,700 --> 00:44:30,840 +انطبق عليها قوانين النيوتن ولا لأ انطبق؟ قوانين + +605 +00:44:30,840 --> 00:44:33,220 +النيوتن التالت عملنا عليه ال test و آمننا فيه طب + +606 +00:44:33,220 --> 00:44:36,240 +النيوتن التاني برضه بينطبق .. ايش النيوتن التاني + +607 +00:44:36,240 --> 00:44:40,420 +بيحكي؟ بيقول every force create an acceleration صح + +608 +00:44:40,420 --> 00:44:44,100 +ولا لأ؟ لأن F بيساوي MA إذا في عندك acceleration + +609 +00:44:44,100 --> 00:44:48,210 +طب وإذا ال acceleration ها دي لو كان ثابتةممكن + +610 +00:44:48,210 --> 00:44:52,670 +تشتغل فيه من القوانين V بيساوي V not plus AT و X + +611 +00:44:52,670 --> 00:44:56,290 +بيساوي V not plus half ET تربيع و V تربيع بيساوي V + +612 +00:44:56,290 --> 00:44:59,990 +not تربيع plus 2AX ولا لأ اه اذا نفس القوانين ممكن + +613 +00:44:59,990 --> 00:45:05,410 +تتطبق فبقولي قلينا احنا وياك ندرس حالة الـcharged + +614 +00:45:05,410 --> 00:45:09,110 +particle موجود في مجال كهربائي الـcharged particle + +615 +00:45:09,110 --> 00:45:12,190 +موجود في مجال كهربائي يعني هي قوة كهربية تمام + +616 +00:45:12,190 --> 00:45:16,110 +بيقولي the electric force obeys Newton's laws هذه + +617 +00:45:16,110 --> 00:45:21,310 +معلومة سابقةالقوة الكهربية ينطبق عليها جميع قوانين + +618 +00:45:21,310 --> 00:45:24,830 +النيوتن التلاتة الأول والتاني والتالت this means + +619 +00:45:24,830 --> 00:45:29,090 +that this force will create an acceleration لأن + +620 +00:45:29,090 --> 00:45:36,250 +النيوتن التاني بقول a بتسوي f على m فف في a إذا if + +621 +00:45:36,250 --> 00:45:40,530 +a particle of mass m and its charge q exist in a + +622 +00:45:40,530 --> 00:45:45,360 +uniform electric field E is uniformThe electric + +623 +00:45:45,360 --> 00:45:51,020 +force acting on the charge is Fe بساوة Q في الـ E + +624 +00:45:51,020 --> 00:45:55,200 +أخدته ولا لأ؟ أخدته؟ طب ف بساوة م أه؟ بعرفه ولا + +625 +00:45:55,200 --> 00:45:58,740 +ماعرفوش؟ بعرفها من النوتر التاني إذا القوة + +626 +00:45:58,740 --> 00:46:03,500 +الكهربية بساوة Q في ال E هال Q و هال في E في قوة + +627 +00:46:03,500 --> 00:46:07,620 +كهربية طب بساوة م أه؟ أه بساوة م أه بقدر أجيب ال + +628 +00:46:07,620 --> 00:46:09,900 +acceleration من هذا القانون الشباب ولا لأ؟ بقدر + +629 +00:46:09,900 --> 00:46:15,520 +أجيبه فهذا acceleration إذا في accelerationطبعا + +630 +00:46:15,520 --> 00:46:21,500 +واضح شباب الان اكيو ثابت للجسم و ال mass ثابتة اذا + +631 +00:46:21,500 --> 00:46:24,360 +كانت E uniform يعني ثابتة اذا ال next question + +632 +00:46:24,360 --> 00:46:29,880 +مالها ثابتة صحيح ولا لا بيقولني since E is uniform + +633 +00:46:29,880 --> 00:46:33,140 +لانه قاللي هو uniform electric field اذا E is + +634 +00:46:33,140 --> 00:46:37,870 +constantوما زال E is constant and the formulas + +635 +00:46:37,870 --> 00:46:41,330 +govern the motion with constants acceleration are + +636 +00:46:41,330 --> 00:46:44,950 +still hold اذا قوانينك التلاتة او معادلتك التلاتة + +637 +00:46:44,950 --> 00:46:50,150 +تبعة الحركة بتسارق ثابت ما زالت ساريات المفقود + +638 +00:46:50,150 --> 00:46:53,650 +مافيش عندك تغيير تمام؟ مافيش شي جديد؟ مافيش شي + +639 +00:46:53,650 --> 00:46:57,650 +جديد بس ال force صارت متساوي Q في ال E ال + +640 +00:46:57,650 --> 00:47:00,850 +acceleration متساوي أفعل A بقى لفة من زمان التلات + +641 +00:47:00,850 --> 00:47:04,720 +قوانينبعرفها من زمان مافيش أي معلومة جيدة نحيها + +642 +00:47:04,720 --> 00:47:09,340 +الأمثلة بيقولي a particle a positive pointy charge + +643 +00:47:09,340 --> 00:47:17,120 +شحنة موجبة Q and mass M is released from rest + +644 +00:47:17,120 --> 00:47:22,360 +ماديش صورة على التدقية released from rest in a + +645 +00:47:22,360 --> 00:47:26,440 +region of electric field describe its motion شحنة + +646 +00:47:26,440 --> 00:47:30,220 +شباب ماسك شحنة وقت في مجال الكهربا بتدفلكها بتضلها + +647 +00:47:30,220 --> 00:47:34,180 +واطفةلأ لما بيبصوا عليها .. بيبصوا عليها تتخرج + +648 +00:47:34,180 --> 00:47:37,060 +طبعا كيف تتخرج تبقى على القوة لابتروح يمين لابتروح + +649 +00:47:37,060 --> 00:47:39,840 +شمال لابتروح فوق لابتروح تحت مظبوطة ولا لأ لما + +650 +00:47:39,840 --> 00:47:44,620 +بيبقوا عليها تتخرج قال ليه شوية اشتغل على الحركة + +651 +00:47:44,620 --> 00:47:49,680 +تبعتها برضه هنا في خط رايح المشكلة وين مش عارف ايش + +652 +00:47:49,680 --> 00:47:55,840 +هنا في خط شباب زي هذا بالظبط هنا و هذه المجال كيف + +653 +00:47:55,840 --> 00:48:03,070 +اتجاه المجال سيلي و الشحنة موجبةقولكم القوة هيها + +654 +00:48:03,070 --> 00:48:07,690 +القوة شايفينها؟ وقتيش هذي و هذي بيكونوا في نفس + +655 +00:48:07,690 --> 00:48:14,410 +الاتجاه لما تكون ال Q positive صح؟ طب لو كان ال Q + +656 +00:48:14,410 --> 00:48:21,790 +سالب اتنقس في حالة Q كيف شباب؟ إيش المثال بيقول؟ + +657 +00:48:23,010 --> 00:48:25,930 +أنا هتطيب هالقوة بتكون مع المجال و لا عكس المجال + +658 +00:48:25,930 --> 00:48:30,130 +معها عشان كده هتتحرك شوفوا كيف بتتحرك لإن القوة هي + +659 +00:48:30,130 --> 00:48:33,310 +اللي حركتها هجيت انا هذا هذا الجلم لو بدى فاهمتوا + +660 +00:48:33,310 --> 00:48:37,050 +بدى طلع فوق ولا بدى نزل تحت مين نزل تحت؟لأنه + +661 +00:48:37,050 --> 00:48:40,210 +يجذبياك في اتجاهها لأسفل حاجة انا عندي electron + +662 +00:48:40,210 --> 00:48:44,510 +وين يروح خصم القوة اذا القوة كعربية هيك بيروح هيك + +663 +00:48:44,510 --> 00:48:48,190 +صح ولا لا اذا القوة كعربية هيك بيروح هيك طب القوة + +664 +00:48:48,190 --> 00:48:51,530 +كيف بتعرفها بقول تعرفها من شغلتين اتجاه المجال و + +665 +00:48:51,530 --> 00:48:54,890 +نوع الشحنة اتجاه المجال و نوع الشحنة اذا الشحنة + +666 +00:48:54,890 --> 00:48:58,930 +موجبة قوتها مع مجالها اذا الشحنة سائبة قوتها بيبقى + +667 +00:48:58,930 --> 00:49:02,850 +مع مجالها من هذا القانون ها انا هنا مع المجال تمام + +668 +00:49:03,330 --> 00:49:06,470 +Solution بيقولي the acceleration of the charge + +669 +00:49:06,470 --> 00:49:09,450 +عشان انا بدي اتدرس الحركة بدي اول حاجة ال + +670 +00:49:09,450 --> 00:49:12,490 +acceleration ما ال acceleration طلعتها شباب طلعتها + +671 +00:49:12,490 --> 00:49:17,150 +هي QE على M شايفين القانون الفجاني اللي هو مش + +672 +00:49:17,150 --> 00:49:22,450 +قانون يعتبر قانون جديد طيب E مش باتجاه ال I سيني + +673 +00:49:22,450 --> 00:49:27,590 +فالتسارع سيني فأمني صحيح مافيش مشكلة طيب التسارع + +674 +00:49:27,590 --> 00:49:34,150 +سينيوالكتلة مافيش إلها أي سرعة ابتدائية لما فلتها + +675 +00:49:34,150 --> 00:49:39,970 +ممكن يكونها حركة صادية؟ مين بتحركها صادية؟ مافيه + +676 +00:49:39,970 --> 00:49:44,150 +ده قوة؟ القوة كيف اتجاهها؟ صينية، إذا الحركة كلها + +677 +00:49:44,150 --> 00:49:48,130 +صينية، مافيش مجال تروح صادية، لأنه أنا عندي .. هاي + +678 +00:49:48,130 --> 00:49:52,890 +واحد موقف، هاي واقف، إجي واحد بده حركه صيني، بدي + +679 +00:49:52,890 --> 00:49:58,450 +أحد يقولّك ده حصادي؟تمام؟ هل جيت ال projectile + +680 +00:49:58,450 --> 00:50:04,610 +motion لو انت حركته سيني، اللي هو حركة صادية؟ ايه + +681 +00:50:04,610 --> 00:50:07,910 +بقول الله؟ مين اللي بيبقى حركة صادية؟ الجاذبية + +682 +00:50:07,910 --> 00:50:13,270 +الأرضيةلأن الجاذبية عرضية على خطرك هي صادية انت لو + +683 +00:50:13,270 --> 00:50:17,510 +قصفت حجر هيك سيني قوله انا اقصفك سيني تماما، + +684 +00:50:17,510 --> 00:50:20,210 +بيبقوا ماشي عادين؟ ولا بيبقوا ينزلوا عارض؟ من + +685 +00:50:20,210 --> 00:50:26,150 +ينزلوا؟ القوة الصادية، هنا لكن لو هذا هي صلحة + +686 +00:50:26,150 --> 00:50:29,510 +ابتدائي جزيره، بدا فالتو، منشي سيني؟ولا بده ينزل + +687 +00:50:29,510 --> 00:50:32,590 +صاضي لأنه ليش قوة الوحيدة اللي جته الصاضية و هنا + +688 +00:50:32,590 --> 00:50:35,910 +نفس العملية عندك جسم ساكن عنده قوة صينية اذا + +689 +00:50:35,910 --> 00:50:39,030 +الحركة الصينية خاطعة تمام بيقولي since v not + +690 +00:50:39,030 --> 00:50:43,310 +بتساوي zero ال acceleration is along the x axis و + +691 +00:50:43,310 --> 00:50:46,650 +ال motion is linear صيني مش عندك إلا حركة صينية + +692 +00:50:46,650 --> 00:50:50,620 +نفس قضيةماذا يجب أن يفعل؟ يقول إنه يريد أن يجلب + +693 +00:50:50,620 --> 00:50:56,440 +بعد وقت T بعد زمن معين يقول الـ particle is a + +694 +00:50:56,440 --> 00:50:59,180 +distance travelled by .. يريد أن يجلب أكم متر + +695 +00:50:59,180 --> 00:51:03,400 +ماشية يجب أن يجلبها I X بسوة B NOT في T plus half + +696 +00:51:03,400 --> 00:51:08,020 +E T تربيع هل تعرفوا هذا القانون؟ V NOT كم؟ Zero + +697 +00:51:08,730 --> 00:51:14,390 +تمام و A عارفينها و T هي بجايزنى زمان عند اى زمان + +698 +00:51:14,390 --> 00:51:17,610 +بتقدر يجيب X شباب صح ولا لأ بس بدك تعرف ان شهوه + +699 +00:51:17,610 --> 00:51:21,570 +الزمان طيب not that برضه لو بدك تجيب الصروحة + +700 +00:51:21,570 --> 00:51:25,630 +النهائية الصروحة عند اى زمان V تربيع بسوا V not + +701 +00:51:25,630 --> 00:51:30,210 +تربيع plus two A X برضه ذاكرينه V not قداش Zero + +702 +00:51:30,210 --> 00:51:35,640 +اذا هدها Zero اتنين و هد A معاوفها و X هيهاصح ولا + +703 +00:51:35,640 --> 00:51:38,480 +لأ؟ إذا برضه بتقدر تجيبه بس بدك تعرفها في ال T مش + +704 +00:51:38,480 --> 00:51:43,080 +قضية طيب في شغلات تانية إذا V بيساوي QE على M في + +705 +00:51:43,080 --> 00:51:47,140 +ال T هذه طبعا دائما تعرفوا إن فيه هناك شيء لحد + +706 +00:51:47,140 --> 00:51:49,040 +اللي أنا مش فاهم مرة بظهر ومرة ما بظهرش ليش مش + +707 +00:51:49,040 --> 00:51:54,840 +عارف هل المنطقة دي في اللغة فيها مشكلة مش عارف اه + +708 +00:51:54,840 --> 00:51:58,560 +يمكن اه ممكن بس بقولك طبعا هو ضابر كل بس ماعرفش + +709 +00:51:58,560 --> 00:52:04,070 +ليش السبب طيبطيب، شغلة تانية خدناها فيزي ألف مبدأ + +710 +00:52:04,070 --> 00:52:07,130 +الـ conservation of energy، ذاكرينه؟ ذاكرين هذا + +711 +00:52:07,130 --> 00:52:13,330 +القانون؟ الـ W net بالثواب ده التكيه؟ تمام؟ الـ W، + +712 +00:52:13,330 --> 00:52:18,450 +الشغل، مين ذاكره؟ إيش بيساوي؟ الشغل إيش بيساوي؟ + +713 +00:52:18,450 --> 00:52:24,930 +قوة في مسافة، في إيزاحة، صح؟ القوة الكهربية مش + +714 +00:52:24,930 --> 00:52:31,890 +بيساوي الـQ في الـE، والإيزاحة، ده أعتبرها XQE F F + +715 +00:52:31,890 --> 00:52:36,130 +F F F F F F F F F F F F F F F F F F F F F F F F F + +716 +00:52:36,130 --> 00:52:39,370 +F F F F F F F F F F F F F F F F F F F F F F F F F + +717 +00:52:39,370 --> 00:52:42,470 +F F F + +718 +00:52:42,470 --> 00:52:46,230 +F F F F F F F F F F + +719 +00:52:46,230 --> 00:52:47,330 +F F F F F F F F F F F F F F F F F F F F F F F F F + +720 +00:52:47,330 --> 00:52:51,990 +F F F F + +721 +00:52:51,990 --> 00:52:55,720 +F F Fهذه ليست قضية فقط لكي نعرف أن قوانين فيزيا + +722 +00:52:55,720 --> 00:53:01,480 +الف تنطبق لأن هذه قوة وما زالت قوة كهربية زيها زي + +723 +00:53:01,480 --> 00:53:07,200 +جميع القوة تمام اخر مثالبيقول لي ال electron + +724 +00:53:07,200 --> 00:53:12,600 +بتعرفون electron مشحون ولا مش مشحون شحنته ايش سالب + +725 +00:53:12,600 --> 00:53:17,320 +القوة الكهربية مع المجال ولا عكس المجال عكس المجال + +726 +00:53:17,320 --> 00:53:21,880 +لأن الشحنة سالبة بيقول لي ال electron is projected + +727 +00:53:21,880 --> 00:53:26,040 +horizontally انا مشيته باتجاه الصيني بتشوف بتظل + +728 +00:53:26,040 --> 00:53:33,820 +صيني ولا لاوين وجيته؟ في منطقة in a region of + +729 +00:53:33,820 --> 00:53:36,940 +uniform electric field between two plates of two + +730 +00:53:36,940 --> 00:53:40,740 +hundred newton per column and directed vertically + +731 +00:53:40,740 --> 00:53:43,620 +upward المجال القهوة بقى أداني مقضاه و أداني + +732 +00:53:43,620 --> 00:53:47,880 +البريشن تبعه، upward شايفين اتجاه المجال؟ كيف + +733 +00:53:47,880 --> 00:53:52,020 +اتجاه المجال؟ يعني ليه أعلى و ليه مش أعلى؟ زي ما + +734 +00:53:52,020 --> 00:53:56,680 +هو بده القوة العادلة في هون كيف بتكون؟أعلى ولا + +735 +00:53:56,680 --> 00:54:01,840 +أسفل؟ أسفل لإنه عكسها إذا أنا أمشي عدل بيظل عدل + +736 +00:54:01,840 --> 00:54:06,420 +ولا بينزل؟ بينزل غصب عنه تمام؟ سوف أظل بيبقى time + +737 +00:54:06,420 --> 00:54:11,000 +motion أنا كده هبقى عدل فما هتنزل ليش؟ لإن في قوة + +738 +00:54:11,000 --> 00:54:14,700 +صادية إلى أسفل و ليه في قوة صادية إلى أسفل؟ تمام + +739 +00:54:14,700 --> 00:54:18,120 +إيش بده؟ هل تشوف الإلكترونات النجاة الخضراء؟ بده + +740 +00:54:18,120 --> 00:54:24,240 +يخش ويدخل ويميل ويطلع هيطلع أفقي ولا هيطلع مائل؟ + +741 +00:54:24,240 --> 00:54:29,340 +مائل إيش بده؟Find the acceleration of the electron + +742 +00:54:29,340 --> 00:54:32,920 +while it is in the field بيقول او جد ال + +743 +00:54:32,920 --> 00:54:35,260 +acceleration تبع الاترون هو جوا طبعا هو برا مافيش + +744 +00:54:35,260 --> 00:54:37,980 +ايه acceleration مافيش قوة لأنه عليه صحيح ولا لأ + +745 +00:54:37,980 --> 00:54:40,780 +اما جوا فيه قوة اذا فيه acceleration ايش بده كمان + +746 +00:54:40,780 --> 00:54:43,820 +how long is it in the field قال ليه قداش time + +747 +00:54:43,820 --> 00:54:47,840 +استغرقت الزمن من أول مدخل لآخر مدفأ ده خرج بده زمن + +748 +00:54:47,840 --> 00:54:52,380 +على سهلةWhat is the vertical displacement of the + +749 +00:54:52,380 --> 00:54:55,460 +electron inside the field؟ احنا اتفقنا انه بدهش + +750 +00:54:55,460 --> 00:54:59,900 +يطلع أدل، صح؟ بده يميل، جديش هذه الإزاحة الصادية + +751 +00:54:59,900 --> 00:55:04,120 +جديش؟ يعني إيش بده؟ بده هذه المسافة Y، شايفينها؟ + +752 +00:55:04,120 --> 00:55:09,840 +قش من هنا و طول الحال، بدي هذه، Y جديش، هاي ال + +753 +00:55:09,840 --> 00:55:12,640 +vertical displacement، واضح شباب؟ هاي المطالب + +754 +00:55:12,640 --> 00:55:17,860 +تبعتنا، المطالب الأول سهلSolution The acceleration + +755 +00:55:17,860 --> 00:55:22,340 +of the electron is A بتساوي F على M قانون الممكن + +756 +00:55:22,340 --> 00:55:27,400 +التاني المعلومة الجديدة F بتساوي Q في E صح؟ High Q + +757 +00:55:27,400 --> 00:55:31,720 +في E على M الـ Q منين بتجيبها؟ شخصية الاترون انتوا + +758 +00:55:31,720 --> 00:55:34,620 +ملاحظين هنا فيه vectors و لما يكون فيه vectors + +759 +00:55:34,620 --> 00:55:37,780 +مافيش absolute values بدي اجيب الاترون بلحمه و + +760 +00:55:37,780 --> 00:55:41,180 +بشحمه فالبه أو + +761 +00:55:43,880 --> 00:55:48,720 +شايفين السالب؟ تبع الإلكروم one point six into + +762 +00:55:48,720 --> 00:55:53,780 +power minus nineteen ال E أعطاني ياه و جالي up + +763 +00:55:53,780 --> 00:55:59,540 +عشان كده حطيت J ولا لأ هو جالي up على كتلة + +764 +00:55:59,540 --> 00:56:03,440 +الإلكروم الشحيتكم إياها تعتيركم تسعة point eleven + +765 +00:56:03,440 --> 00:56:07,140 +into power minus thirty one شوفوا في شغلات انها + +766 +00:56:07,140 --> 00:56:13,030 +مضيعة بتجلب كل الدنيا هذه الشطة سالبطلعتها بالسالب + +767 +00:56:13,030 --> 00:56:16,630 +هي ال acceleration ال acceleration صادية ولا سينية + +768 +00:56:16,630 --> 00:56:21,530 +صادية ولا أسفل ولا لأ لأن فيه سالب في مركبة سينية + +769 +00:56:21,530 --> 00:56:25,050 +لل acceleration إذا إن السرعة السينية ثابتة ولا + +770 +00:56:25,050 --> 00:56:29,190 +تتغير ثابتة صار زي ال projectile motion بيشبهه ولا + +771 +00:56:29,190 --> 00:56:33,230 +لأ بس ال acceleration بيسويش 9.8 بيساوي هذا المخدر + +772 +00:56:33,230 --> 00:56:38,070 +احنا ذاكرين for projectile motion كنا نقول ايه + +773 +00:56:38,070 --> 00:56:46,370 +بيساوي سالب 9.8 في Gصح اللي هي DG هاي ال + +774 +00:56:46,370 --> 00:56:50,130 +projectile motion ايش الأفضل ان هذا المفضل تغير بس + +775 +00:56:50,130 --> 00:56:54,930 +طيب يالا ننحل 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point fifty one ten to power + +811 +00:59:31,070 --> 00:59:35,590 +thirteen طلعناها من الفرق الأول في T² هي T ولا + +812 +00:59:35,590 --> 00:59:39,130 +نقول هذ T الصينية ما بناخدها صغيرة لأ لأ نفس ال T + +813 +00:59:39,130 --> 00:59:44,390 +حتى ال T طلعت ناقص ليش ناقص العجواء لأ لأ أسفة + +814 +00:59:44,390 --> 00:59:48,790 +ذاكرينها لأ أسفة فهو طلع عجواء زي فقط فادر الفقيدة + +815 +00:59:48,790 --> 00:59:53,460 +في مشكلة فادرخلص الشرطة + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..f8195f14bcc7aded127ef52a6b6e34ae4347e326 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2800, "start": 10.18, "end": 28.0, "text": "بسم الله الرحمن الرحيم نكمل الأمثلة اللى كانت على ال continuous charge distribution اتفقنا عشان نجيب شدة المجال الكعربائى for continuous charge 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distribution of magnitude capital Q. Calculate the electric field along the axis of the ring at a point P lying a distance capital D from the center of the ring يعني هاي ال ring شباب هذه كلها مشحونة كل المنطقة الزرقى مليانة شحنات طبعا هذه ring دائرة بس محطوبة عشان هيك محطوبة واضح تمام؟", "tokens": [32, 4875, 295, 15845, 4238, 497, 575, 257, 9452, 4602, 7316, 295, 15668, 4238, 1249, 13, 3511, 2444, 473, 264, 5210, 2519, 2051, 264, 10298, 295, 264, 4875, 412, 257, 935, 430, 8493, 257, 4560, 4238, 413, 490, 264, 3056, 295, 264, 4875, 37495, 22653, 8032, 47302, 2423, 4875, 13412, 3555, 16758, 29538, 28242, 11296, 37893, 5016, 11536, 3660, 28242, 9673, 1863, 9566, 28671, 6024, 110, 2288, 4587, 7578, 3714, 20292, 7649, 3660, 13412, 5016, 8315, 2655, 23032, 3555, 3615, 995, 29538, 4875, 11778, 16373, 25720, 4724, 3794, 3714, 5016, 9566, 37746, 3660, 6225, 8592, 7649, 39896, 4117, 3714, 5016, 9566, 37746, 3660, 4032, 46958, 5016, 46811, 10943, 22807], "avg_logprob": -0.1896306816827167, "compression_ratio": 1.5563636363636364, 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109.38, "word": " the", "probability": 0.88232421875}, {"start": 109.38, "end": 109.68, "word": " ring", "probability": 0.955078125}, {"start": 109.68, "end": 110.18, "word": " and", "probability": 0.86572265625}, {"start": 110.18, "end": 110.42, "word": " a", "probability": 0.9384765625}, {"start": 110.42, "end": 110.86, "word": " distance", "probability": 0.93701171875}, {"start": 110.86, "end": 111.32, "word": " capital", "probability": 0.80126953125}, {"start": 111.32, "end": 111.7, "word": " D", "probability": 0.9697265625}, {"start": 111.7, "end": 112.0, "word": " from", "probability": 0.9228515625}, {"start": 112.0, "end": 112.22, "word": " the", "probability": 0.9169921875}, {"start": 112.22, "end": 112.56, "word": " center", "probability": 0.90380859375}, {"start": 112.56, "end": 113.16, "word": " of", "probability": 0.9794921875}, {"start": 113.16, "end": 113.3, "word": " the", "probability": 0.9130859375}, {"start": 113.3, "end": 113.46, "word": " ring", "probability": 0.9697265625}], "temperature": 1.0}, {"id": 5, "seek": 14301, "start": 114.93, "end": 143.01, "text": "الشيء قطوة اتفقنا عليها اول حاجة ايش بدي اسوي في الـ charge distribution؟ بدي اجسمه لعناصر و بدي اختار عنصر تمام؟ اذا لو جينا نقول ال solution again we divide the ring into small elements each of its charge dq وهذا برضه اخدناها ان ال charge لأي عنصر لازم يكون dq هذه .. هذه عنصر شايفينه يا شباب؟ الأحمر هذا عنصر واحد من هذه العناصر الكتيرة", "tokens": [6027, 8592, 1829, 38207, 12174, 9566, 2407, 3660, 1975, 2655, 5172, 4587, 8315, 25894, 11296, 1975, 12610, 11331, 26108, 3660, 1975, 1829, 8592, 4724, 16254, 1975, 3794, 45865, 8978, 2423, 39184, 4602, 7316, 22807, 4724, 16254, 1975, 7435, 38251, 3224, 5296, 3615, 1863, 33546, 2288, 4032, 4724, 16254, 1975, 46456, 9640, 18871, 9381, 2288, 46811, 10943, 22807, 1975, 15730, 45164, 10874, 1829, 8315, 8717, 39648, 2423, 3827, 797, 321, 9845, 264, 4875, 666, 1359, 4959, 1184, 295, 1080, 4602, 274, 80, 37037, 15730, 4724, 43042, 3224, 1975, 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{"start": 133.43, "end": 133.93, "word": " ان", "probability": 0.80859375}, {"start": 133.93, "end": 134.07, "word": " ال", "probability": 0.8369140625}, {"start": 134.07, "end": 134.53, "word": " charge", "probability": 0.80126953125}, {"start": 134.53, "end": 134.89, "word": " لأي", "probability": 0.806640625}, {"start": 134.89, "end": 135.37, "word": " عنصر", "probability": 0.9905598958333334}, {"start": 135.37, "end": 135.69, "word": " لازم", "probability": 0.9700520833333334}, {"start": 135.69, "end": 136.03, "word": " يكون", "probability": 0.9892578125}, {"start": 136.03, "end": 136.67, "word": " dq", "probability": 0.87060546875}, {"start": 136.67, "end": 137.33, "word": " هذه", "probability": 0.353271484375}, {"start": 137.33, "end": 137.51, "word": " ..", "probability": 0.25390625}, {"start": 137.51, "end": 137.67, "word": " هذه", "probability": 0.65283203125}, {"start": 137.67, "end": 138.13, "word": " عنصر", "probability": 0.9689127604166666}, {"start": 138.13, "end": 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هذا العنصر العنصر is a point مش ممكن اعتبره point ولا لا في عندي قانون لل point بيقول E بيسوي KQ على R² مظبوط؟ اذا عشان اجيب سدة المجال بدي اجيب ال direction تبعه على اعتبار انه positive برضه ال positive الاتجاه كيف بتعامل معاه؟ out يعني كيف تتوقعش سدة المجال يكون؟", "tokens": [6027, 9778, 9566, 2407, 3660, 16712, 6027, 10632, 4724, 16254, 1975, 7435, 1829, 3555, 3714, 7435, 6027, 23758, 18863, 1863, 9381, 2288, 18863, 1863, 9381, 2288, 307, 257, 935, 37893, 3714, 43020, 1975, 34268, 26890, 3224, 935, 49429, 20193, 8978, 18871, 16254, 12174, 7649, 11536, 24976, 935, 4724, 1829, 39648, 462, 4724, 1829, 3794, 45865, 591, 48, 15844, 497, 27643, 3714, 19913, 3555, 2407, 9566, 22807, 1975, 15730, 6225, 8592, 7649, 1975, 7435, 1829, 3555, 8608, 41891, 9673, 7435, 6027, 4724, 16254, 1975, 7435, 1829, 3555, 2423, 3513, 6055, 3555, 3615, 3224, 15844, 1975, 34268, 3555, 9640, 16472, 3224, 3353, 4724, 43042, 3224, 2423, 3353, 2423, 9307, 7435, 40294, 9122, 33911, 39894, 3615, 10943, 1211, 20449, 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اللى أحمر و بروح على ال point و بطلع مش بيكون هيك هذه DQ هذه الخطة الأخضر ولا لأ؟ فى إشكالية؟ هدف IDE طب تمام الآن بدى تبدأ القانون القانون إيش بيقول K", "tokens": [27842, 25124, 5016, 1863, 3660, 13672, 7578, 31439, 18863, 1863, 9381, 2288, 13672, 7578, 5551, 5016, 29973, 4032, 4724, 32887, 5016, 15844, 2423, 935, 4032, 4724, 9566, 1211, 3615, 37893, 4724, 1829, 30544, 39896, 4117, 29538, 413, 48, 29538, 33962, 9566, 3660, 16247, 9778, 11242, 2288, 49429, 5296, 10721, 22807, 6156, 7578, 11933, 8592, 4117, 6027, 10632, 22807, 8032, 3215, 5172, 40930, 23032, 3555, 46811, 10943, 6024, 48506, 47525, 7578, 6055, 44510, 10721, 25062, 7649, 11536, 25062, 7649, 11536, 11933, 1829, 8592, 4724, 1829, 39648, 591], "avg_logprob": -0.33512930075327557, "compression_ratio": 1.6344086021505377, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 169.09, "end": 169.43, "word": "من", "probability": 0.333984375}, {"start": 169.43, "end": 170.35, "word": " الشحنة", "probability": 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عنصر تاني .. هاي عنصر تاني .. هذا الانصر مش بناظر اللي فوق .. لو جيتك جيجيستها دي مسافة مش بده تكون برضه R .. نفس الـR فوق .. طلعت directions .. زي بعيد .. مش عكس هنا .. فجيهم عن بعيد .. مفهوم .. كل حلل ..", "tokens": [9778, 1211, 11703, 9957, 1829, 1975, 46456, 9640, 18871, 9381, 2288, 6055, 7649, 1829, 4386, 8032, 47302, 18871, 9381, 2288, 6055, 7649, 1829, 4386, 23758, 2423, 7649, 9381, 2288, 37893, 44945, 5718, 116, 2288, 13672, 1829, 6156, 30543, 4386, 45164, 10874, 36081, 4117, 10874, 1829, 7435, 1829, 14851, 11296, 11778, 1829, 47524, 31845, 3660, 37893, 47525, 3224, 6055, 30544, 4724, 43042, 3224, 497, 4386, 8717, 36178, 2423, 39184, 49, 6156, 30543, 4386, 23032, 1211, 34268, 11095, 4386, 30767, 1829, 45030, 25708, 4386, 37893, 6225, 4117, 3794, 34105, 4386, 6156, 7435, 1829, 16095, 18871, 45030, 25708, 4386, 3714, 5172, 3224, 20498, 4386, 28242, 11331, 1211, 1211, 4386], "avg_logprob": -0.38843457553988303, "compression_ratio": 1.721951219512195, "no_speech_prob": 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the center of the disk يعني هاي ال disk شايفين؟ كل المنطقة الملونة فيها شحنات حلو؟", "tokens": [31279, 2444, 473, 264, 5210, 2519, 2051, 264, 2031, 12, 24633, 295, 264, 12355, 412, 257, 935, 430, 8493, 257, 4560, 4238, 413, 490, 264, 3056, 295, 264, 12355, 37495, 22653, 8032, 47302, 2423, 12355, 13412, 995, 33911, 9957, 22807, 28242, 9673, 1863, 9566, 28671, 9673, 1211, 11536, 3660, 8978, 11296, 13412, 5016, 8315, 2655, 11331, 1211, 2407, 22807], "avg_logprob": -0.23593750049670537, "compression_ratio": 1.345029239766082, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1009.19, "end": 1009.75, "word": "Calculate", "probability": 0.7948404947916666}, {"start": 1009.75, "end": 1010.19, "word": " the", "probability": 0.859375}, {"start": 1010.19, "end": 1010.49, "word": " electric", "probability": 0.93408203125}, {"start": 1010.49, "end": 1010.97, "word": " field", "probability": 0.91845703125}, {"start": 1010.97, "end": 1011.45, "word": " along", "probability": 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في المقام R تربية زي D تربية الان بقول كامل و قبل ما تكامل اطلع ال directions ال directions انا مرتاح منه ليش لأنه في ال rings جالي اصلا في شكل زي هذا المجال صيني بس مش صاضي ذكرين ان الصاضي روح؟", "tokens": [44510, 1211, 2423, 4238, 1249, 11331, 11242, 11703, 1829, 2423, 413, 48, 5296, 33456, 29538, 13412, 5016, 1863, 3660, 2423, 4875, 11778, 1829, 48812, 6027, 3660, 30767, 1829, 3714, 3215, 3224, 10632, 4032, 8978, 9673, 4587, 10943, 497, 6055, 25513, 10632, 30767, 1829, 413, 6055, 25513, 10632, 2423, 7649, 4724, 39648, 9122, 10943, 1211, 4032, 12174, 36150, 19446, 6055, 4117, 10943, 1211, 1975, 9566, 1211, 3615, 2423, 11095, 2423, 11095, 1975, 8315, 3714, 43500, 39319, 9154, 3224, 32239, 8592, 5296, 33456, 3224, 8978, 2423, 11136, 10874, 6027, 1829, 1975, 9381, 15040, 8978, 13412, 28820, 30767, 1829, 23758, 9673, 7435, 6027, 20328, 9957, 1829, 4724, 3794, 37893, 20328, 46958, 1829, 29910, 37983, 9957, 16472, 31767, 46958, 1829, 12602, 2407, 5016, 22807], "avg_logprob": 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{"start": 1516.66, "end": 1517.06, "word": " D", "probability": 0.904296875}, {"start": 1517.06, "end": 1518.0, "word": " ثابتة", "probability": 0.937744140625}, {"start": 1518.0, "end": 1518.24, "word": " و", "probability": 0.94873046875}, {"start": 1518.24, "end": 1518.56, "word": " K", "probability": 0.615234375}, {"start": 1518.56, "end": 1519.18, "word": " ثابتة", "probability": 0.980712890625}, {"start": 1519.18, "end": 1519.7, "word": " المقام", "probability": 0.9645182291666666}, {"start": 1519.7, "end": 1520.14, "word": " ثابت", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 61, "seek": 153343, "start": 1523.19, "end": 1533.43, "text": "لو غيرت اللون تبعت الحمرض تصغر و تكبر ولا ده R اذا ال R is variable not constant اذا المقام خالي جوا حلو كمان؟", "tokens": [1211, 2407, 32771, 13546, 2655, 13672, 11536, 6055, 3555, 34268, 21542, 29973, 11242, 6055, 9381, 17082, 2288, 4032, 6055, 4117, 26890, 49429, 11778, 3224, 497, 1975, 15730, 2423, 497, 307, 7006, 406, 5754, 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"end": 2793.78, "text": "طبعا واضح شباب الان اكيو ثابت للجسم و ال mass ثابتة اذا كانت E uniform يعني ثابتة اذا ال next question مالها ثابتة صحيح ولا لا بيقولني since E is uniform لانه قاللي هو uniform electric field اذا E is constant", "tokens": [9566, 3555, 3615, 995, 4032, 46958, 5016, 13412, 3555, 16758, 2423, 7649, 1975, 4117, 1829, 2407, 38637, 16758, 2655, 24976, 7435, 38251, 4032, 2423, 2758, 38637, 16758, 2655, 3660, 1975, 15730, 25961, 2655, 462, 9452, 37495, 22653, 38637, 16758, 2655, 3660, 1975, 15730, 2423, 958, 1168, 19446, 1211, 11296, 38637, 16758, 2655, 3660, 20328, 5016, 1829, 5016, 49429, 20193, 4724, 1829, 39648, 22653, 1670, 462, 307, 9452, 5296, 7649, 3224, 50239, 20292, 31439, 9452, 5210, 2519, 1975, 15730, 462, 307, 5754], "avg_logprob": -0.3104039568726609, "compression_ratio": 1.5854922279792747, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2775.16, "end": 2775.52, "word": "طبعا", "probability": 0.8447265625}, {"start": 2775.52, "end": 2775.82, 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positive pointy charge شحنة موجبة Q and mass M is released from rest ماديش صورة على التدقية released from rest in a region of electric field describe its motion شحنة شباب ماسك شحنة وقت في مجال الكهربا بتدفلكها بتضلها واطفة", "tokens": [3555, 3615, 28480, 11296, 9154, 30767, 2304, 7649, 19446, 41185, 8592, 36632, 20449, 1211, 20498, 3660, 10874, 25708, 3660, 8717, 5016, 1829, 11296, 16247, 2304, 12984, 37977, 4724, 1829, 39648, 1829, 257, 12359, 257, 3353, 935, 88, 4602, 13412, 5016, 1863, 3660, 3714, 29245, 49401, 1249, 293, 2758, 376, 307, 4736, 490, 1472, 19446, 16254, 8592, 20328, 13063, 3660, 15844, 16712, 3215, 4587, 10632, 4736, 490, 1472, 294, 257, 4458, 295, 5210, 2519, 6786, 1080, 5394, 13412, 5016, 1863, 3660, 13412, 3555, 16758, 3714, 32277, 4117, 13412, 5016, 1863, 3660, 4032, 38149, 8978, 3714, 7435, 6027, 33251, 3224, 25513, 995, 39894, 3215, 5172, 23275, 11296, 39894, 11242, 1211, 11296, 4032, 41193, 5172, 3660], "avg_logprob": -0.3689693081797215, "compression_ratio": 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"temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3594.10075, "duration_after_vad": 3491.010343749982} \ No newline at end of file diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..31f7e76b958afa70ebb1b92382084c5f820730de --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8_postprocess.srt @@ -0,0 +1,2352 @@ +1 +00:00:11,040 --> 00:00:16,010 +بسم الله الرحمن الرحيم كمان مرةالـ quiz chapter 2 + +2 +00:00:16,010 --> 00:00:19,230 +هيبدأ ساعتين او دهران طبعا ليش عملتوا اتنين اتنين + +3 +00:00:19,230 --> 00:00:22,110 +انا عادة بعمله تمانية لأنه انا متوقع انه في ال + +4 +00:00:22,110 --> 00:00:25,590 +weekend الماضي طلاب استعدوا لل chapter وما بيصدقوا + +5 +00:00:25,590 --> 00:00:29,230 +دمصر و الدار و يبدوا فيه فقولت بديش أخرهم لساعتين + +6 +00:00:29,230 --> 00:00:31,950 +اتين قبل ما يناموا و يتغدوا يفوتوا على ال quiz و + +7 +00:00:31,950 --> 00:00:36,730 +يحلوا بدي استمر ليوم الجمعة الساعة اتناش الا خمسة + +8 +00:00:36,730 --> 00:00:42,550 +ليلةطبعا لأنه عندنا فترة طويلة وبالتالي مابديش + +9 +00:00:42,550 --> 00:00:45,970 +الطالب يوم الجمعة يبدأ لإن يوم الجمعة إذا عنده + +10 +00:00:45,970 --> 00:00:49,230 +مشكلة كده يصلي حتى لو بعتلي email أنا مش بضرورة + +11 +00:00:49,230 --> 00:00:51,630 +أكون فاضي قاعد على ال laptop و بتابع ال email + +12 +00:00:51,630 --> 00:00:55,730 +تبعكم تمام؟ بالتالي المفروض الطالب يبدأ إذا مش + +13 +00:00:55,730 --> 00:00:59,630 +اليوم بكرة لإن مافيش مجال يشوفني على الضمان إلا + +14 +00:00:59,630 --> 00:01:02,270 +يوم التلاتة في المحاضرة أو حد أقصى يوم الأربعة في + +15 +00:01:02,270 --> 00:01:06,090 +المكتبفبتكون انت جربت و خلصت و اتطمنت ان كل شي + +16 +00:01:06,090 --> 00:01:10,670 +تمام جتعت الكهربا جتعت النت جانبي لهذا الكلام it + +17 +00:01:10,670 --> 00:01:15,160 +is up to you و انت بتتحمل مسئوليةتمام في المحاضرة + +18 +00:01:15,160 --> 00:01:21,520 +الآن هنبدأ شباب بشبطر جديد شبطر three واللي عنوانه + +19 +00:01:21,520 --> 00:01:27,200 +electric potential دايما كل شبطر احنا بنبدأ زي ما + +20 +00:01:27,200 --> 00:01:32,500 +اقول في شبطر نبدأ شبطر three electric potential ال + +21 +00:01:32,500 --> 00:01:35,920 +problem اللي كنتوا مفروض صراحة عندكم موجودة بس + +22 +00:01:35,920 --> 00:01:40,440 +برضهفي إعادة إفادة ال problems ال recommending + +23 +00:01:40,440 --> 00:01:46,060 +المطلوبة منها كحدد أدنى نحلها من الكتاب هي 3 5 7 9 + +24 +00:01:46,060 --> 00:02:04,520 +15 17 21 22 23 33 34 43 45 46 49 58 59 66 68 69 71 + +25 +00:02:05,630 --> 00:02:08,210 +هذه الأسئلة المطلوب أن نحلها طبعا موجودة عينكم + +26 +00:02:08,210 --> 00:02:13,510 +طبعا نبدأ potential difference and electric + +27 +00:02:13,510 --> 00:02:17,390 +potential كلمة potential مرت معانا من كلمة + +28 +00:02:17,390 --> 00:02:23,950 +potential energy طاقة الوضع براو كل قوة لها طاقة + +29 +00:02:23,950 --> 00:02:33,570 +وضعلأ المحافظة لكل قوة محافظة نستخدم قوة محافظة + +30 +00:02:33,570 --> 00:02:38,690 +لكل + +31 +00:02:38,690 --> 00:02:42,190 +قوة محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +32 +00:02:42,190 --> 00:02:42,470 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +33 +00:02:42,470 --> 00:02:42,590 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +34 +00:02:42,590 --> 00:02:42,810 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +35 +00:02:42,810 --> 00:02:42,910 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +36 +00:02:42,910 --> 00:02:43,650 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +37 +00:02:43,650 --> 00:02:48,620 +محافظة لكل قوةالقوة الكهربية يقولنا قوة محافظة و + +38 +00:02:48,620 --> 00:02:51,200 +ايام قرنناها بقوة الجذب العام يقول نفس الشكل + +39 +00:02:51,200 --> 00:02:54,180 +الرياضي اذا القوة الكهربية هي conservative force + +40 +00:02:54,180 --> 00:02:57,520 +ما زال القوة الكهربية شباب conservative force اذا + +41 +00:02:57,520 --> 00:03:00,680 +في عندى لان potential energy جديدة هي electric + +42 +00:03:00,680 --> 00:03:01,760 +potential energy + +43 +00:03:05,130 --> 00:03:09,470 +يقول لي consider a charged particle يقول لي خلّي + +44 +00:03:09,470 --> 00:03:15,070 +أني يكون عندي جسم مشحون شحنة Q موجود في مجال + +45 +00:03:15,070 --> 00:03:19,890 +كهربائي in a region of an electric field E ما زال + +46 +00:03:19,890 --> 00:03:22,590 +فيه شحنة و مجالي، ما زال فيه قوة ولا مافيش قوة؟ + +47 +00:03:22,590 --> 00:03:27,770 +فيه قوةthis field exerts an electric force on the + +48 +00:03:27,770 --> 00:03:30,890 +particle given by F بساوة Q في E طب انت عايش بتدور + +49 +00:03:30,890 --> 00:03:34,290 +بقوله انا عشان ال potential energy ربطولياها بال + +50 +00:03:34,290 --> 00:03:41,070 +work ذاكرينها انه و بساوة سالب delta U صح ولا لأ و + +51 +00:03:41,070 --> 00:03:43,850 +ال work اللي علاقة بال force ولا لأ اللي علاقة بال + +52 +00:03:43,850 --> 00:03:50,310 +forceبيقول لي when the particle moves from initial + +53 +00:03:50,310 --> 00:03:55,770 +point I to a final point F this force does work + +54 +00:03:55,770 --> 00:04:00,270 +تعمل شغل الشغل قوة و إزاحة اتحركت الشحنة صار في + +55 +00:04:00,270 --> 00:04:03,770 +إزاحة في قوة في قوة ثم صار في شغل طب إيش قيون + +56 +00:04:03,770 --> 00:04:10,110 +الشغل بيقول الشغل بيساوي W بيساوي التكامل F ضد ال + +57 +00:04:10,110 --> 00:04:15,510 +DL أو ال DS صح ولا لأ؟الـDS أو الـDL ليه إزاحة؟ F + +58 +00:04:15,510 --> 00:04:19,450 +إيش بدالتها يا شباب؟ QE مش هي F بيساوي QE لما تكون + +59 +00:04:19,450 --> 00:04:29,190 +ثابتة لما تكون ثابتة لما تكون ثابتة + +60 +00:04:29,190 --> 00:04:35,380 +بصير سهلة تمامبما أن الطاقة الإلكترونية محافظة .. + +61 +00:04:35,380 --> 00:04:39,140 +أنا أديتكم المعلومة .. الطاقة محافظة في اللي + +62 +00:04:39,140 --> 00:04:42,300 +بتشتغل عليها .. نستطيع أن نشتغل فيها طاقة محافظة + +63 +00:04:42,300 --> 00:04:46,560 +.. زي ما عملنا U Spring و U Gravity .. و قولنا U + +64 +00:04:46,560 --> 00:04:50,040 +Gravity بيساوي MGH و U Spring بيساوي نص KX تربيع + +65 +00:04:50,040 --> 00:04:52,580 +إذا كنتوا ذاكرين .. بيقوللي .. بما أن الطاقة + +66 +00:04:52,580 --> 00:04:55,540 +الإلكترونية محافظة .. نستطيع أن نشتغل فيها طاقة + +67 +00:04:55,540 --> 00:05:00,680 +محافظة .. مع هذه الطاقة ..والعلاقة بيقول delta u + +68 +00:05:00,680 --> 00:05:07,340 +بساوي سالف w ذاكرينها؟ مارت عليكم واحدة زي هذه؟ + +69 +00:05:07,340 --> 00:05:14,220 +مارت طب هي ال w هيو اذا انصار في عندى delta u شباب + +70 +00:05:14,220 --> 00:05:23,770 +مش you final نقص you initialQ-E-E-E-E-E-E-E-E-E-E + +71 +00:05:23,770 --> 00:05:34,510 +-E-E-E-E-E-E-E-E-E-E-E-E-E + +72 +00:05:34,510 --> 00:05:39,060 +-Eبيقول let us now define the electric potential V + +73 +00:05:39,060 --> 00:05:41,220 +at the electric potential energy by the unit + +74 +00:05:41,220 --> 00:05:46,120 +charge كيف؟ نرجع لـ gravity الشباب هذا الجلب + +75 +00:05:46,120 --> 00:05:52,600 +شايفينه؟ لو فلقته جابه واقف، بنزل، بقدر أقول إذا + +76 +00:05:52,600 --> 00:05:57,000 +عنده نقطة هادي في مجال جاذبية، صح؟ لو مافيش مجال + +77 +00:05:57,000 --> 00:06:01,160 +جاذبية و حطت الجلب، بتتحرك؟ ماتتحركش طب هذا نزل، + +78 +00:06:01,160 --> 00:06:02,220 +جديش القوة اللي عليه؟ + +79 +00:06:10,460 --> 00:06:14,720 +القوة نفس قوة الجلم ولا MG ايش ده؟ تمام اذا انا + +80 +00:06:14,720 --> 00:06:18,400 +هالجيت بدأ اقول ما زال حطيت كتلة واتحركت بقول في + +81 +00:06:18,400 --> 00:06:22,280 +مجال جاذبية صح ولا لأ؟فبهذه المجالة عرفته و في + +82 +00:06:22,280 --> 00:06:24,860 +مجال كهرباية و حسبته قاللي شغلة تانية بدي غير + +83 +00:06:24,860 --> 00:06:28,000 +المجال قوللي انسى القلم و انسى المحايا و انسى أي + +84 +00:06:28,000 --> 00:06:30,800 +حاجة عند النقطة هذه في مجال و عند النقطة هذه في + +85 +00:06:30,800 --> 00:06:33,500 +مجال و عند النقطة هذه في مجال فجيت المجال مشكلته + +86 +00:06:33,500 --> 00:06:37,500 +مشكلة vector ولا لأ جيبلي كمية مش vector أجيسها + +87 +00:06:37,500 --> 00:06:41,730 +قال خلينا نشتغل على شغلة اسمها جونترهل جيت أنا لما + +88 +00:06:41,730 --> 00:06:46,390 +أقول راح الجلم و راحة المحاية، هل نفيت وجود مجال + +89 +00:06:46,390 --> 00:06:49,390 +عند النقطة هذه؟ إذا أنا بهمن النقطة، بيهمنيش الجلم + +90 +00:06:49,390 --> 00:06:53,530 +و المحاية، بيهمن النقطة، أقول عند النقطة في مجال + +91 +00:06:53,530 --> 00:06:58,740 +أو الآن بدي أقول فيه جهودفي جهد بيقوللي إذا هدي Q + +92 +00:06:58,740 --> 00:07:01,620 +بدل الجلم و المحيا الشحنة أنا محط الشحنة اتحركت + +93 +00:07:01,620 --> 00:07:04,940 +قولت في مجال كهربائي ولا لا؟ مش موجود الشحنة انت + +94 +00:07:04,940 --> 00:07:08,420 +فا المجال الكهربائي؟ لأ موجود إذا صار بيقوللي الآن + +95 +00:07:08,420 --> 00:07:12,780 +بدي أعرف شغلة و أنسى Q أنسى المحيا و أنسى الجلم + +96 +00:07:12,780 --> 00:07:19,560 +بدي أنسى Q قال جسم ع Q طيب جسمت ع Q صار عندك كمية + +97 +00:07:19,560 --> 00:07:23,340 +energy على كلهم energy على ال charge ماهياش energy + +98 +00:07:23,340 --> 00:07:29,290 +كمية جيدةهذه كمية جديدة سموها الجهد الكهربائي نقول + +99 +00:07:29,290 --> 00:07:33,470 +let us now define the electric potential V اللي + +100 +00:07:33,470 --> 00:07:39,350 +رمزه capital V من كلمةvolt او voltage هي volt اسم + +101 +00:07:39,350 --> 00:07:43,590 +العالم voltage للوحدة هي voltage برضه إله جابوها + +102 +00:07:43,590 --> 00:07:46,750 +هي ال potential difference او voltage ال electric + +103 +00:07:46,750 --> 00:07:50,030 +potential energy بال limited charge يعني جسم ع ال + +104 +00:07:50,030 --> 00:07:52,690 +charge إذا هي التعريف تبعي الشباب من اليوم الطالع + +105 +00:07:52,690 --> 00:07:58,280 +كمية جديدةpotential مش energy electric potential + +106 +00:07:58,280 --> 00:08:01,540 +potential لحالة بيقول energy potential جهود + +107 +00:08:01,540 --> 00:08:06,120 +كهربائي electric potential لما اقول انا هنا في جهد + +108 +00:08:06,120 --> 00:08:11,080 +مجالي او جاربية بقول فيه جهود بتساوي ايش؟ بتساوي + +109 +00:08:11,080 --> 00:08:15,940 +ال potential energy على ال mass بتطلع حاجة وانه + +110 +00:08:15,940 --> 00:08:23,120 +بديش ال mass هنا غير طب اش الوحدة؟جول على كله مش + +111 +00:08:23,120 --> 00:08:25,660 +بتضطر لأ طيب جاله انت ايش افرج اذا ماكنت جاي + +112 +00:08:25,660 --> 00:08:29,460 +بالمجال و فهمتني انه في مجال بقول المجال كان + +113 +00:08:29,460 --> 00:08:33,020 +مشكلته انه vectors و تعامل معاه صعب طب هد ايش جابت + +114 +00:08:33,020 --> 00:08:37,160 +جالي يول في ال bus vector ولا scalar ولا في المقام + +115 +00:08:37,160 --> 00:08:41,800 +scalar اذا انت أصبح عندك كمية scalar و التعامل مع + +116 +00:08:41,800 --> 00:08:45,760 +ال scalar سهل عشان كده مين أشهر في التعامل التجاري + +117 +00:08:45,760 --> 00:08:50,740 +انت بتقول اكم وورت ولا اكم نيوتنبركلومI can vote + +118 +00:08:50,740 --> 00:08:54,700 +إذا انصارة الكمية الأشهر في التعامل هي الجهود لأنه + +119 +00:08:54,700 --> 00:08:58,260 +scalar تعامله سهل بكرا العامل الكهربائي اللي لا + +120 +00:08:58,260 --> 00:09:00,260 +عمره عارف إيش معاه ال vector و ليش عمره ال scalar + +121 +00:09:00,260 --> 00:09:03,500 +بيصير فتشتر منه بيمديله الكهربا في عمارة كبيرة صح + +122 +00:09:03,500 --> 00:09:08,480 +ولا لأ لأنه اتعامل مع كمية scalars سهلةأذا الكمية + +123 +00:09:08,480 --> 00:09:11,900 +بيقول U على Q طبعا جولة على كلهم قالوا هذي صار + +124 +00:09:11,900 --> 00:09:15,900 +مشهور و أنه نرجع نقول العامل بيتعامل معها لا بعرف + +125 +00:09:15,900 --> 00:09:20,120 +جولة ولا بيعرف كلهم إذا دي وحدة لأنه كمية بتستهل + +126 +00:09:20,120 --> 00:09:22,760 +وحدة قالوا مين الشغل على هذه القضية قالوا volt + +127 +00:09:22,760 --> 00:09:26,820 +قالوا خلاص خلوها volt إذا هذه كمية بدل ما تقل جولة + +128 +00:09:26,820 --> 00:09:31,190 +على كلهم بتستهل تديها وحدة خاصة بيهاthe electric + +129 +00:09:31,190 --> 00:09:34,310 +potential difference between the points I and F is + +130 +00:09:34,310 --> 00:09:38,890 +then طبعا بس نكمل هذي Z طب U final بدي اجسم ع Q + +131 +00:09:38,890 --> 00:09:43,170 +شباب مش بيصير U final ع Q و U initial ع Q U final + +132 +00:09:43,170 --> 00:09:46,270 +ع Q بدي اكتوب علي حالها Z final و U initial ع Q وش + +133 +00:09:46,270 --> 00:09:54,210 +بدي احط محالها؟ Z initial في مشكلة؟ طبعا تمام طيب + +134 +00:09:54,210 --> 00:09:58,370 +نرجع برضه لل potential energy كنا نقول U final نقص + +135 +00:09:58,370 --> 00:10:02,360 +U initial بساوي MGHU final نقص U initial سواء ام + +136 +00:10:02,360 --> 00:10:04,740 +دي اتش بعدين قولنا هذه ال U initial تضايقش تغلب + +137 +00:10:04,740 --> 00:10:09,140 +فيها اعتبرها Zero دلوقتي مش كنا نختارها Zero كيف؟ + +138 +00:10:09,140 --> 00:10:12,220 +ماكننا نختار level اذا كنتوا ذاكرين و ال level هاد + +139 +00:10:12,220 --> 00:10:16,040 +عشان عندها Uish تكون Zero ليش؟ انا بهمني ال Delta + +140 +00:10:16,040 --> 00:10:18,780 +بهمنيش ال U عند نقطة معينة انا بهمني ال Delta + +141 +00:10:18,780 --> 00:10:24,220 +بالتالي انت خد لك reference و خلصنيهنا بس بيعرف + +142 +00:10:24,220 --> 00:10:26,880 +بيقولي the potential difference V final نقص V + +143 +00:10:26,880 --> 00:10:32,700 +initial is defined as the work required to move a + +144 +00:10:32,700 --> 00:10:36,860 +positive unit charge from point I to point F كيف + +145 +00:10:36,860 --> 00:10:43,680 +عملها كل هو هذه Q لما تكون موجودة هذه شغل صح أو لا + +146 +00:10:43,680 --> 00:10:50,720 +هذه شغلإذا الجهد هو الشغل اللي لازم عشان ينقل شحنة + +147 +00:10:50,720 --> 00:10:54,500 +هادي و مقتش بيصير هادي، لما هادي بيصير واحد، مظبوط + +148 +00:10:54,500 --> 00:10:59,600 +ولا لا؟ يعني هادي و هادي بيساوي بعض إذا Q بيصير + +149 +00:10:59,600 --> 00:11:02,820 +واحد ولا لا، طلع الطرف هذا و الطرف هذا، لو Q هنا + +150 +00:11:02,820 --> 00:11:05,500 +بيصير واحد باشي نفسي هادي، هجد هادي شغل ولا مش + +151 +00:11:05,500 --> 00:11:08,970 +شغل؟إيه كام ال key بيساوي واحد دلوقت شغل لذا + +152 +00:11:08,970 --> 00:11:12,630 +بيقوللي الجهد بيساوي الشغل اللي لازم عشان أنقر شو + +153 +00:11:12,630 --> 00:11:16,570 +احنا مقدرها جديش واحد من نقطة I لنقطة F هاي + +154 +00:11:16,570 --> 00:11:20,570 +التعريف تمام مش مهم التعريف ليه عشان أحفظه تمام بس + +155 +00:11:20,570 --> 00:11:24,110 +عشان نعرف أين نجيبهبقول since it is only the + +156 +00:11:24,110 --> 00:11:27,710 +change in potential انا انبهرني delta u مش ال U + +157 +00:11:27,710 --> 00:11:31,170 +between two points that has physical sense الها + +158 +00:11:31,170 --> 00:11:34,650 +معنى فيزيائي it is often convenient to choose a + +159 +00:11:34,650 --> 00:11:38,030 +reference point for zero potential زي ال level تبع + +160 +00:11:38,030 --> 00:11:40,310 +ال gravity طبعا ال level تبع ال spring كنا دايما + +161 +00:11:40,310 --> 00:11:43,890 +نحطه لكل preamposition صح ولا لأ؟ اذا وين في U + +162 +00:11:43,890 --> 00:11:47,940 +دايما عندك level تبع ال zero و تبعتهتمام؟ بالنسبة + +163 +00:11:47,940 --> 00:11:50,360 +للـ gravity كان 100 ألف level أختار level مرة على + +164 +00:11:50,360 --> 00:11:52,560 +الطوارق و مرة على الأرض و مرة على السجف إذا كنتوا + +165 +00:11:52,560 --> 00:11:55,800 +ذاكرين في أحد الأسئلة أما بالظنبالك ماقلناش نحتار + +166 +00:11:55,800 --> 00:11:58,420 +وين دايما ال level تبعنا؟ على ال equilibrium لأنه + +167 +00:11:58,420 --> 00:12:01,920 +هناك جدش يوتو بعدها zero هنا بقولي دايما اختار + +168 +00:12:01,920 --> 00:12:05,800 +zero this reference point is usually chosen to be + +169 +00:12:05,800 --> 00:12:08,300 +at infinity ده بيريح عليك هدي المقطع هدي الملمي + +170 +00:12:08,300 --> 00:12:11,890 +هيها هجي الشباب هايش أحنامجالها عند المنة النهائية + +171 +00:12:11,890 --> 00:12:15,410 +كده؟ إذا انجهودها 0 إذا عند المنة النهائية مالها + +172 +00:12:15,410 --> 00:12:17,650 +جهود؟ قال لي خد النقطة اللي بالك بعتك عند المنة + +173 +00:12:17,650 --> 00:12:20,650 +النهائية بيقول لي is usually chosen to be at + +174 +00:12:20,650 --> 00:12:23,830 +infinity يعني V عند المنة النهائية كده؟ Zero إذا + +175 +00:12:23,830 --> 00:12:27,330 +بتصير letting the point I ال initial point + +176 +00:12:27,330 --> 00:12:31,930 +infinity احنا إيش كان فيه عندي؟ V final نقص V + +177 +00:12:31,930 --> 00:12:35,770 +initial سو سالي بالتكامل من initial ل final E dot + +178 +00:12:35,770 --> 00:12:41,820 +dl هيك مش عملتها؟ هي تاني إيش بتخليها؟ طوحماذا يجب + +179 +00:12:41,820 --> 00:12:48,040 +ان اضافة اي هنا؟ مش infinity؟ خلاص بيقول let the + +180 +00:12:48,040 --> 00:12:51,600 +point i to be infinity and designate point f as + +181 +00:12:51,600 --> 00:12:55,780 +point b ما زال هذه راحة بل عندك final initial ما + +182 +00:12:55,780 --> 00:12:58,960 +زالش عندك نقطة واحدة اذا بلاش حط final حطها نقطة + +183 +00:12:58,960 --> 00:13:03,360 +بي and designate point f as point b مافيش غيرها + +184 +00:13:03,360 --> 00:13:06,680 +the electric potential at any point عند نقطة واحدة + +185 +00:13:06,680 --> 00:13:10,060 +حاجة لان عند نقطة النقطة التانية هون بتكون عند + +186 +00:13:10,060 --> 00:13:15,280 +الملا نهايةنفس القانون بس بدل initial حصلت final + +187 +00:13:15,280 --> 00:13:19,020 +بدل F حطت PP يعني point لإن مافيش عندي initial و + +188 +00:13:19,020 --> 00:13:23,220 +final خاص point بكفيني هاد الجهد عند نقطة طب إيه + +189 +00:13:23,220 --> 00:13:27,700 +يعرفون؟ لما عرفت أنا هنا كان هنا initial قولت فرق + +190 +00:13:27,700 --> 00:13:32,460 +الجهد بين نقطين بسوء الشغل اللازم عشان أنقل وحدة + +191 +00:13:32,460 --> 00:13:36,580 +الشحنات من initial ل final صح ولا لأ طب هنا من وين + +192 +00:13:36,580 --> 00:13:41,140 +ل وين؟ من منا نهاية للنقطة إذا بقوللي في هذا + +193 +00:13:41,140 --> 00:13:46,950 +التعريفالطاقة الهوائية في أي موقع .. في أي موقع .. + +194 +00:13:46,950 --> 00:13:51,050 +موقع واحدة .. يمكن أن تكون مصممة من العمل اللي + +195 +00:13:51,050 --> 00:13:54,590 +يتطلبه أن يحضر موارد مجموعة مفتوحة .. موارد مجموعة + +196 +00:13:54,590 --> 00:13:59,100 +.. من الانفجار إلى ذلك الموقع .. في هذا المعنىin + +197 +00:13:59,100 --> 00:14:02,460 +this sense the potential at a point is a potential + +198 +00:14:02,460 --> 00:14:05,000 +difference يعني أن النقطة هو potential difference + +199 +00:14:05,000 --> 00:14:09,040 +بين نقطين واحدة منهم وين؟ في المنا نهاية in this + +200 +00:14:09,040 --> 00:14:10,640 +sense the potential at a point is a potential + +201 +00:14:10,640 --> 00:14:12,740 +difference between that point and a point at + +202 +00:14:12,740 --> 00:14:16,300 +infinity إذا لما يقولي أوجد الجهد عند نقطة وكأنه + +203 +00:14:16,300 --> 00:14:18,820 +بيقولي أوجد فرق الجهد بين النقطة هذه ونقطة المنا + +204 +00:14:18,820 --> 00:14:21,140 +نهاية لما يقولي عند نقطة معناته نقطة الأولى + +205 +00:14:21,140 --> 00:14:23,880 +التانية وراحت في المنا نهايةعطوه by default لما + +206 +00:14:23,880 --> 00:14:27,420 +يقول عن نقطة ال initial point مالنهاية اما لما + +207 +00:14:27,420 --> 00:14:30,060 +يقول ال initial point و final point بيكون أداني كل + +208 +00:14:30,060 --> 00:14:35,900 +المعطيات تمام؟ بيقول from the above definition we + +209 +00:14:35,900 --> 00:14:40,640 +conclude that the electric potential is a scalar + +210 +00:14:40,640 --> 00:14:44,980 +quantity هاي أول ميزة وميزة كبيرة تمام؟ + +211 +00:14:46,290 --> 00:14:50,330 +the SI unit of V is Joule Per Coulomb هي Joule Per + +212 +00:14:50,330 --> 00:14:54,350 +Coulomb usually represented by a special unit + +213 +00:14:54,350 --> 00:14:58,850 +called volt كلكم عارفينها يعني واحد volt بيساوي + +214 +00:14:58,850 --> 00:15:01,470 +واحد Joule على كلهم ولا لأ؟ في مشكلة؟ ال volt هي + +215 +00:15:01,470 --> 00:15:04,590 +نفس Joule على كلهم لكن عشان مشهورة طوها وحدتها + +216 +00:15:04,590 --> 00:15:09,710 +الخاصة بيها it followed that حلو فجيت أنا في عندي + +217 +00:15:09,710 --> 00:15:15,050 +شغلة قال لي V بتسوي E و هنا DLصح هاجتها دى مشهورة + +218 +00:15:15,050 --> 00:15:18,150 +كتير كتير صارت أشهر منها دى هدى إيش واحدة انت + +219 +00:15:18,150 --> 00:15:22,750 +بتعرفوها انتوا ال newton هاكلوه جيلي فلتك من ال + +220 +00:15:22,750 --> 00:15:26,730 +newton في واحدة أحلى منها مش هدى volt بقدر أقول + +221 +00:15:26,730 --> 00:15:31,330 +إيه بيساوي volt على مترمش ورط على متر، اذا ورط على + +222 +00:15:31,330 --> 00:15:36,110 +متر، فصار في الـ E لها وحدتين، اما نيوتن ع كلهم او + +223 +00:15:36,110 --> 00:15:39,610 +ورط على متر، it follows that the electric field + +224 +00:15:39,610 --> 00:15:43,230 +has a unit of volt per meter، ورط على متر، with + +225 +00:15:43,230 --> 00:15:47,640 +واحد نيوتن ع كلهم او واحد ورط على متر كل واحدأنا + +226 +00:15:47,640 --> 00:15:50,100 +قلت لكم في المجال الكهربائي هيكون له كمان واحدة + +227 +00:15:50,100 --> 00:15:54,580 +هتيجينا لاحقا فكثير بيستخدموا واحدة المجال شوف صار + +228 +00:15:54,580 --> 00:15:58,940 +يوصفوه أو يلحقوه بال volt من كتر ما صار ال volt + +229 +00:15:58,940 --> 00:16:03,440 +أشهر من المجال الكهربائي فصار واحدة المجال جاية من + +230 +00:16:03,440 --> 00:16:07,380 +الجهود جاية من الجهود volt على متر من هنا هذه متر + +231 +00:16:07,380 --> 00:16:10,480 +وهذه volt إذا ايه بيسوي volt على متر تطلع واحدة + +232 +00:16:10,480 --> 00:16:16,250 +المجال الكهربائي حلونبدأ بمثال بسيط جدا تقول يا + +233 +00:16:16,250 --> 00:16:19,410 +أبو ريتون البروتون جسم مشهور و لا مشهور شحناته + +234 +00:16:19,410 --> 00:16:22,390 +بتعرفوها موجب ولا سالبة موجب و مقدرها واحد point + +235 +00:16:22,390 --> 00:16:25,470 +sixteen to power minus nineteen معروفة is released + +236 +00:16:25,470 --> 00:16:30,950 +from rest in a uniform electric field فلقته من + +237 +00:16:30,950 --> 00:16:35,510 +السكون فلقته بيبقى ساكت هو موجود في مجال صح ولا لأ + +238 +00:16:35,510 --> 00:16:39,130 +مازال موجود في مجال بتتحرك بتتحرك مع المجال ولا ضد + +239 +00:16:39,130 --> 00:16:45,270 +المجال عشان هو بروتون براو عليكم تمامالـElectric + +240 +00:16:45,270 --> 00:16:46,830 +Field هي الـMagnitude تبعه، شوفوا إيش واحدة + +241 +00:16:46,830 --> 00:16:50,870 +تدانيها على طول، بولت على متر، الواحدة الجديدة، طب + +242 +00:16:50,870 --> 00:16:53,890 +لو واحد جالي نيوتن على كل واحد، بقوله صح، بس عشان + +243 +00:16:53,890 --> 00:16:57,150 +يعودك على أنه في عندي واحدة جديدة الآن The proton + +244 +00:16:57,150 --> 00:17:00,090 +undergoes a displacement of 0.5 متر، اتحرك + +245 +00:17:00,090 --> 00:17:04,230 +البروتون، مسافة نص متر، in the direction of E، أه، + +246 +00:17:04,230 --> 00:17:06,790 +بيتحرك في ال direction تبع E، قطع، تمام، مافيش + +247 +00:17:06,790 --> 00:17:12,430 +مشكلة عندي، ده أنه positive، تمام؟هذه المجال وهذه + +248 +00:17:12,430 --> 00:17:16,890 +في المنطقة طبعا uniform و بديو يجي اتجاه و هيك اذا + +249 +00:17:16,890 --> 00:17:20,430 +ان البوزر تبلى negative كلكم عارفينها هاي البروتون + +250 +00:17:20,430 --> 00:17:23,530 +هجيت انا بدي افلط البروتون انا ماعرف كوه هالجيت + +251 +00:17:23,530 --> 00:17:28,210 +بدي افلط و إيش مصير فيه؟ بيظهر واجف؟ بيظهر يتحرك + +252 +00:17:28,210 --> 00:17:35,470 +اتحرك والله تمام؟ حركنا؟ بديش اتحرك نص متر جالي يا + +253 +00:17:35,470 --> 00:17:40,420 +سيدي بين نص متر فهي نص مترتمام سبب؟ لو negative + +254 +00:17:40,420 --> 00:17:43,800 +أفلته عند الحمرة، بتحرك؟ لأ، بيبقى اللي ملزق في + +255 +00:17:43,800 --> 00:17:46,920 +الحمرة عشان اتحرك بيحطه عند الزرقة صح ولا لأ؟ لو + +256 +00:17:46,920 --> 00:17:51,140 +كان electron عشان يتحرك تمام؟ إيش بده هذا؟ هاي + +257 +00:17:51,140 --> 00:17:53,960 +مجال الخطوط الخضراء هذه المنقطة، إيش بده؟ بيقولي + +258 +00:17:53,960 --> 00:18:00,040 +find فرق جهد ما بين Vb وVa، في فرق جهد find ΔU؟ + +259 +00:18:00,350 --> 00:18:03,550 +عشان ما تنساش ان دلتا D جاي من دلتا U find the + +260 +00:18:03,550 --> 00:18:06,250 +speed of the proton at point P بش هو كان في الأول + +261 +00:18:06,250 --> 00:18:10,450 +ساكن هنا شباب فلقته مش هنا لمّا وصل هان في رسولة + +262 +00:18:10,450 --> 00:18:17,710 +عجيب ليها واضحش بدي أجيبه؟ نشوف بيقوللي delta V + +263 +00:18:17,710 --> 00:18:21,810 +فرق الجهد من initial و final ال initial ايه ولا مش + +264 +00:18:21,810 --> 00:18:25,550 +ايه؟ و ال final؟ اذا مدر ما قول initial و final هو + +265 +00:18:25,550 --> 00:18:30,580 +قاللي a و b قلت a و bV فانيال نقص V initial فانيال + +266 +00:18:30,580 --> 00:18:33,700 +نقص initial بصوت سالب هذا التعريف التكامل من + +267 +00:18:33,700 --> 00:18:38,660 +initial ل final E dot dl صحيح يا شباب؟ E جلي + +268 +00:18:38,660 --> 00:18:43,700 +uniform ولا ماجليش؟ مش جلي uniform تطلع برا طيب + +269 +00:18:43,700 --> 00:18:47,240 +هتشوفين انتوا كيف تتحرك ال proton؟ ال displacement + +270 +00:18:47,240 --> 00:18:54,760 +كيف تجاهها طب و ال E الانتظار تبقى واحداذا دكتور + +271 +00:18:54,760 --> 00:18:58,380 +بوداك روحت و ايه قال uniform مُعطَى بتطلع عبارة عن + +272 +00:18:58,380 --> 00:19:05,460 +التكامل ايش تكامل ال DMT الهيموسميتر الهيموسميتر + +273 +00:19:05,460 --> 00:19:11,460 +اذا قال لي since E and DL are parallel مظبوط ولا + +274 +00:19:11,460 --> 00:19:18,150 +لا يا شباب فرد هيكراحت الدكتور بودكتر since E is + +275 +00:19:18,150 --> 00:19:23,290 +uniform ارجع و لأ سطنته بشوف الدكتور بودكتر ميتضرر + +276 +00:19:23,290 --> 00:19:29,390 +الله احنا مظبوط ولا لأ الان E since E is uniform + +277 +00:19:29,390 --> 00:19:33,530 +تعريف هذا هو حكاية ليه مقطع it can be taken out + +278 +00:19:33,530 --> 00:19:38,680 +from the integral signE D هي المسافة النصف متر + +279 +00:19:38,680 --> 00:19:43,860 +اللي حكى عنها زمانكم تمام E أعطاني قيمتها و D قداش + +280 +00:19:43,860 --> 00:19:54,360 +نصف متر طالعش جوا بالسالب طيب هدى قولنا V P نقص V + +281 +00:19:54,360 --> 00:20:03,240 +A و لا لأ فالجواب موجب و لا سالب ايه اكبر ايه اكبر + +282 +00:20:03,240 --> 00:20:10,100 +طب نرجع نرجع نرجعليش a أكبر للموجة بقى و b سالبة؟ + +283 +00:20:10,100 --> 00:20:16,080 +منطق ايه؟ منطق تكون جهود a أكبر من جهود b طبعا + +284 +00:20:16,080 --> 00:20:21,160 +طلعت معايا سالبة بيقولوا from the minus sign we + +285 +00:20:21,160 --> 00:20:26,960 +conclude that va أكبر من vbبيقول لي P إيش بده؟ بده + +286 +00:20:26,960 --> 00:20:30,280 +Delta U بدي U P نقص U U طب أنا عندي قرون بيقول + +287 +00:20:30,280 --> 00:20:34,620 +Delta V بيسوي Delta U على Q مش هي كان عرفت؟ إذا + +288 +00:20:34,620 --> 00:20:41,200 +Delta V بيسوى Q في Delta V طب و Q مشهور براتون؟1.6 + +289 +00:20:41,200 --> 00:20:46,820 +فعشرة والثالثة و Delta V مضوعتها طلعتها ده فهي + +290 +00:20:46,820 --> 00:20:52,620 +Delta U ماجيبش اشي فى مشكلة الشباب حلو الآن بده + +291 +00:20:52,620 --> 00:20:56,940 +السرعة النهائية السرعة النهائية معوفةالسرعة + +292 +00:20:56,940 --> 00:21:01,100 +النهائية بدّوا إياها والمسافة معروفة لو عرفت ال + +293 +00:21:01,100 --> 00:21:04,320 +acceleration حلت السؤال صح؟ طب ال acceleration + +294 +00:21:04,320 --> 00:21:06,360 +بدّي force ماجدر أجيب ال force وماجدر أجيب ال + +295 +00:21:06,360 --> 00:21:09,320 +acceleration ولا لأ كل شي ماجدر أجيبه بس بقى بقولك + +296 +00:21:09,320 --> 00:21:13,300 +طب أنت لو مافيش عندك acceleration زمان كان في عندك + +297 +00:21:13,300 --> 00:21:19,840 +قانون بيقول delta K زائد delta U بتساوي سفر؟ فجت + +298 +00:21:19,840 --> 00:21:21,400 +هادي مش هيدا + +299 +00:21:30,420 --> 00:21:36,200 +حلت السؤال بدل ما تجيب acceleration و تغلب حالك C + +300 +00:21:36,200 --> 00:21:40,620 +يقول دلتا K زي دلتا U بالساعة صفر نسيته؟ ليه؟ انا + +301 +00:21:40,620 --> 00:21:45,620 +بقول انك دلتا U انت فاشت في نص الحالة خلصته بقولك + +302 +00:21:45,620 --> 00:21:50,140 +مثلا دي تربيع ناقص K initial لانه released from + +303 +00:21:50,140 --> 00:21:57,400 +restزائد هذي من وين شحتها؟ طيب، موجودة، جاهزة، + +304 +00:21:57,400 --> 00:22:07,180 +طلعت فيه، طلعت فيه، في مشكلة يا شباب؟ مافيش مشكلة، + +305 +00:22:07,180 --> 00:22:09,680 +إذا هادي عملناها، طلعوا إيش جواب هنا، Electric + +306 +00:22:09,680 --> 00:22:13,720 +potential due to pointed charges، انت قاعد بتشفط + +307 +00:22:13,720 --> 00:22:18,020 +من المجال الكهربائي عشان انه vector، جيبت قانون + +308 +00:22:18,020 --> 00:22:22,690 +أجيب مجال لpointed charge، ذاكرينه؟اللي هو E + +309 +00:22:22,690 --> 00:22:27,010 +بتساوي KQ على R تربيع ومنها جيبت له ال disk و لل + +310 +00:22:27,010 --> 00:22:31,730 +ring و لل رد بظبط ولا لأ و كانت مشكلتها ان هو ده + +311 +00:22:31,730 --> 00:22:34,370 +vector و قبل ما اتكامل انت بيه قالتلي طب انت + +312 +00:22:34,370 --> 00:22:36,390 +هجيتني مش هردني من ال electric field للجهد + +313 +00:22:36,390 --> 00:22:39,730 +الكهربائي و شبكتلي الجهد بال energy طب انا متخلصت + +314 +00:22:39,730 --> 00:22:44,090 +من ال physics يعني دي بالي شغل احلى للجهد زي ما + +315 +00:22:44,090 --> 00:22:48,510 +اجرت اجيب المجال لpointed charge علمني كيف اجيب + +316 +00:22:48,510 --> 00:22:52,160 +الجهد لpointed charge الآنمش انت حاجات بتقول هاي + +317 +00:22:52,160 --> 00:22:55,560 +عندك شحنة إذا هنا في مجال حاجات المجالة بتبقى مش + +318 +00:22:55,560 --> 00:22:58,860 +عاجبك بدك تجيب جهد طب جديش الجهد اللي قال؟ بدي + +319 +00:22:58,860 --> 00:23:02,160 +أشتغل قانون أنا وياكم أجيب الجهد ل pointed charge + +320 +00:23:02,160 --> 00:23:04,560 +ولا إيه اللي دعوه ال potential energy ولا إيه اللي + +321 +00:23:04,560 --> 00:23:08,160 +دعوه في ال work بديش ال work أصلا بيقوللي electric + +322 +00:23:08,160 --> 00:23:11,800 +potential due to pointed charges pointed charges + +323 +00:23:11,800 --> 00:23:15,460 +يقول يللا نحسب من القوانين اللي اتعلمناها عشان + +324 +00:23:15,460 --> 00:23:18,520 +أجيب قانون اشتغل عليكم جدي الصراحة العملية كتير + +325 +00:23:18,520 --> 00:23:22,210 +سهلةبقول consider an isolated point of charge، خد + +326 +00:23:22,210 --> 00:23:25,970 +يجيب point of charge وحيدة، الـQ، we want to find + +327 +00:23:25,970 --> 00:23:28,170 +the electric potential due to this charge at + +328 +00:23:28,170 --> 00:23:32,890 +point، we have، هايش أحنا شباب، هاد الـQ، الآن، + +329 +00:23:32,890 --> 00:23:36,450 +بقول حوالها في مجال، يعني حوالها في جهود، صح ولا + +330 +00:23:36,450 --> 00:23:41,900 +لا، بدي الجهود عند نقطةهو ايش القانون اللى اتعلمته + +331 +00:23:41,900 --> 00:23:48,120 +بيقول فرق الجهد بين نقطين VP-VA بيسوي سالب التكامل + +332 +00:23:48,120 --> 00:23:51,140 +initial و final final نقص initial high initial + +333 +00:23:51,140 --> 00:23:54,940 +high final E dot DL طب هي ال Q طب جيبلي نقطين + +334 +00:23:54,940 --> 00:23:58,240 +initial و final جاليها high initial و high final + +335 +00:23:58,240 --> 00:24:04,690 +بيقول عشان تشتغلها بدك تجيب E dot DLإذا ذكرين أنت + +336 +00:24:04,690 --> 00:24:08,950 +الشغل كنا نقول دي إيه الجزء من الإزاحة هجيب لو + +337 +00:24:08,950 --> 00:24:12,870 +بدأتنا نقول شحنة من A لB فيه إزاحة ولا مافيه إزاحة + +338 +00:24:12,870 --> 00:24:17,470 +طب كيف شكل الإزاحة؟ يقولوا لك مائة طريق فيه طب + +339 +00:24:17,470 --> 00:24:21,370 +هتنسوس ال conservative force الطريق بتأثر عليكم + +340 +00:24:21,370 --> 00:24:25,610 +نتيجة؟ لأ يعني لو أنا مشيت أدل صح طب لو ماشيت هيك + +341 +00:24:25,610 --> 00:24:29,270 +غلط؟إذا بدي أشتغل على طريقة عشوائية أنا الآن أي + +342 +00:24:29,270 --> 00:24:33,390 +طريقة بتاخدها طريقة عشوائية جالي هذه أخليها RA + +343 +00:24:33,390 --> 00:24:37,090 +وهذه RB هذه الطريقة اللي بدي أمشي فيها أنا عشوائية + +344 +00:24:37,090 --> 00:24:41,370 +بديش أمشي عدل عشان ما حد يقولك اختار العدل لأ أنا + +345 +00:24:41,370 --> 00:24:43,890 +بفكر بدي أمشي طبعا أي طريقة بختارها المفروض يكون + +346 +00:24:43,890 --> 00:24:47,130 +صح لأن التكامل لا يعتمد على المسار إذا كنتوا + +347 +00:24:47,130 --> 00:24:51,150 +ذاكرينه طيب أنا هجيت بدي أمشي من A ل B هذه معنات + +348 +00:24:51,150 --> 00:24:56,260 +من A ل B من Initial to Final هذه معنات التكاملطيب + +349 +00:24:56,260 --> 00:24:59,200 +أنا ماشي من ايه؟ لأ طب طول ما أنا ماشي في مجاله + +350 +00:24:59,200 --> 00:25:02,880 +ولا فيش مجاله؟ فيه لإنه كل هذه المبتقى مش حوالي ال + +351 +00:25:02,880 --> 00:25:06,360 +Q فيه هنا مجال فيه؟ فيه هنا مجال فيه؟ فيه هنا مجال + +352 +00:25:06,360 --> 00:25:10,960 +فيه؟ طيب الشي هذه جزء من الإزاحة خد جزء من هذا + +353 +00:25:10,960 --> 00:25:16,740 +الخط الملقط هاي دي إيه؟ the electric field is due + +354 +00:25:16,740 --> 00:25:20,220 +to the charge Q at a distance R يجيب إيه؟ يجيبي + +355 +00:25:20,220 --> 00:25:26,070 +عنصر عند هذه النقطة بالظبطهذه R وهذه E وهذه DL هذه + +356 +00:25:26,070 --> 00:25:31,150 +DL بس انا طولتها هي يصغير وبتكون مماثلها تمام؟ هذه + +357 +00:25:31,150 --> 00:25:35,490 +DL طب بدك E عند النقطة هذه E الآن مازال انت خد DL + +358 +00:25:35,490 --> 00:25:38,890 +بده E هنا ايه تقدر تجيبها هنا بقول له اه بتسوي + +359 +00:25:38,890 --> 00:25:44,290 +cake U على R تربية ولا لأ cake U على R تربيةهي + +360 +00:25:44,290 --> 00:25:48,070 +إيه؟ عندي العنصر اللي أخدته هو جيبت DL و بعدين + +361 +00:25:48,070 --> 00:25:50,530 +عندي DL قولت فيه إيه؟ قولتله فيه إيه؟ قولي أحسبها + +362 +00:25:50,530 --> 00:25:54,490 +قاللي يا جديش بيبعد؟ قوللي أعتبرها R قوللي ر ر إذا + +363 +00:25:54,490 --> 00:25:58,150 +KQ على R تربية جيبت إيه؟ أنا بشتغلهم جاعد الشباب + +364 +00:25:58,150 --> 00:26:00,750 +بعد كده القانون بدنا ياه و نحفظه و نتطبق عليه + +365 +00:26:00,750 --> 00:26:05,030 +قاللي حلو اشتغل؟ قاللي اشتغلت هاي إيه؟ صحيك + +366 +00:26:05,030 --> 00:26:10,930 +اتجاهها؟لأنه positive تمام؟ وقال دي ال موجودة عوض + +367 +00:26:10,930 --> 00:26:16,090 +واتعملش الشيء كي وكي ثابت طلعناه برا تكامل I unit + +368 +00:26:16,090 --> 00:26:21,350 +vector ضد دي ال هدا هي على R تربية اشتغل هالتكامل + +369 +00:26:21,350 --> 00:26:25,930 +قال جابل ما اشتغل خليني احق راسي و اودي حالي لشبتر + +370 +00:26:25,930 --> 00:26:30,070 +واحد في فيزي ألف و اقول بدي منكم التالي شباب مين + +371 +00:26:30,070 --> 00:26:35,730 +يحكيلي a vector ضد ال I ايش بتطلع + +372 +00:26:40,490 --> 00:26:45,570 +نتيجة؟ عمودة على اتنين هذك cross product حبيبي، + +373 +00:26:45,570 --> 00:26:55,570 +هذا ضد product، ايه بيسألوا المقدار؟ أي ايه؟ + +374 +00:26:59,100 --> 00:27:07,260 +بس مش a بكتبها a x i زي a y j زي a z k اعمل ضد + +375 +00:27:07,260 --> 00:27:11,260 +product i ضد ال i بدي اقتيمها مثلا i ضد ال j و i + +376 +00:27:11,260 --> 00:27:18,560 +ضد ال k اذا ايه اتضال معاك اعيدها هذه a هي a x i + +377 +00:27:18,560 --> 00:27:26,120 +زي a y j زي a z k اعملها ضد ال product مع ال i هذه + +378 +00:27:26,120 --> 00:27:33,410 +و هذه كدهو هدى و هدى اي و اي طب لو حطت dot الجيه + +379 +00:27:33,410 --> 00:27:37,730 +ايش بده يطلع هنا ايه لو حطت هنا كيه ايش بده يجيه + +380 +00:27:37,730 --> 00:27:41,390 +اذا لما اضرب اي vector ب unit vector بديني مركبة + +381 +00:27:41,390 --> 00:27:47,670 +ال unit vector ولا لا حلو ايه بده اضربها ب r unit + +382 +00:27:47,670 --> 00:27:51,510 +vector مش هال unit vector ولا ايش بده يجيه ضغط + +383 +00:27:51,510 --> 00:27:58,970 +عليك ايه r يعني انه مركبة النص قطرية صحهذه إيه هي + +384 +00:27:58,970 --> 00:28:04,630 +الـDL هذه و argument vector بدي أديه للمُركّبة + +385 +00:28:04,630 --> 00:28:09,410 +النُص قطرية للـDL الـDL شباب هذه مين شايفينها بدي + +386 +00:28:09,410 --> 00:28:13,070 +أحللها لمُركّبتين بصح اللي vector ولا مش vector هي + +387 +00:28:13,070 --> 00:28:16,810 +بدي أحللها لمُركّبتين المُركّبتين اللي لازم يكونوا + +388 +00:28:16,810 --> 00:28:21,790 +متعمدتين فهيبقاش فيه تعامل غير سينوساط نُص قطر و + +389 +00:28:21,790 --> 00:28:25,740 +مماسصح ولا لأ؟ نسقطر و مماس متعمدين ولا مش + +390 +00:28:25,740 --> 00:28:31,620 +متعمدين؟ بل هذه ال DL حللها لواحدة مماسية بالظبط و + +391 +00:28:31,620 --> 00:28:34,940 +واحدة نسقطرية بالظبط بدك تاخد رجلية الماماسية و لا + +392 +00:28:34,940 --> 00:28:38,620 +نسقطرية عشان هنا فيه أرض نسقطرية؟ بدك تاخده + +393 +00:28:38,620 --> 00:28:46,340 +نسقطرية فبالنسقطرية سميها DR سميها DR قد بعيدها + +394 +00:28:46,340 --> 00:28:55,230 +مظبطتش معاكم أرض ال DL بسوء DRليش؟ لأنه بيقوللي ال + +395 +00:28:55,230 --> 00:29:01,310 +DL هذه هجيت لو أنا قلتلكم DL بقدر أسميها DXi زي ال + +396 +00:29:01,310 --> 00:29:05,850 +Dy J ولا لأ صح ولا يا شباب إذا بتروح أحول .. يعني + +397 +00:29:05,850 --> 00:29:09,950 +أنا جيت و أسرع أنا انتقلت من هنا لإنا هذه DL + +398 +00:29:09,950 --> 00:29:13,910 +حللوها حللوها + +399 +00:29:19,130 --> 00:29:25,190 +إذا بقدر أقول DL سوى DX I زي الـDYG صحيح اللي عمل + +400 +00:29:25,190 --> 00:29:28,070 +هيك؟ طيب حقيقة أنا ماتستخدم الـ Cartesian + +401 +00:29:28,070 --> 00:29:31,670 +Coordinates بدي أستخدم الـPolar Coordinates الـR و + +402 +00:29:31,670 --> 00:29:36,730 +الفيتا طيب بقوله إيه هي أنت عندك حاجة زي هيك بدك + +403 +00:29:36,730 --> 00:29:40,950 +تحولها واحدة هيك و واحدة هيك حاجة واحدة هتكون مماس + +404 +00:29:40,950 --> 00:29:46,950 +و التانية نصف قطرة هذه المماس دي الـFETA و هذه + +405 +00:29:46,950 --> 00:29:53,570 +الـRهذه DLR أنا كتبت هنا DLX ولا DX على طموح DX + +406 +00:29:53,570 --> 00:30:00,390 +هذه خليها DR DR إيش التغير في نص القطر هي معناتها + +407 +00:30:00,390 --> 00:30:05,230 +زي DX التغير في المحور الصيني فهذه DR شباب جالي زي + +408 +00:30:05,230 --> 00:30:11,190 +هيك انحل جوابك صارت DR على R تربيع تعرفي تكلم + +409 +00:30:11,190 --> 00:30:15,130 +الـDR على R تربيع ولا تعرفوش DX على X يناقص واحد + +410 +00:30:15,130 --> 00:30:21,180 +على X ولا لا إذا هذه صارت هيكتكامل DR على R تردية + +411 +00:30:21,180 --> 00:30:26,860 +بيسوي ناقص مع النقص اللي هان راحة واحدة على R من + +412 +00:30:26,860 --> 00:30:33,620 +RA ل RB من A ل B من RA ل RB بتسوي KQ على RB نقص KQ + +413 +00:30:33,620 --> 00:30:37,720 +على RA هذه جيبت أنا الآن فرق جهد بين النقطين طب + +414 +00:30:37,720 --> 00:30:40,160 +انا مابديش بين النقطين مابدي عن نقطة جيلي النقطة A + +415 +00:30:40,160 --> 00:30:44,080 +وقالليها لان مانا نهاية مش هيك من عمال النقطة A + +416 +00:30:44,080 --> 00:30:51,700 +هذه صارت مانا نهاية مابديش الجوابزي هي طلع عندها + +417 +00:30:51,700 --> 00:30:55,880 +قانون حلو بيقول the first term of the right hand + +418 +00:30:55,880 --> 00:31:00,300 +side represent the potential at point b and the + +419 +00:31:00,300 --> 00:31:03,180 +second term represent the potential at point va + +420 +00:31:03,180 --> 00:31:07,220 +the electric potential at a point a distance r + +421 +00:31:07,220 --> 00:31:10,780 +from a point in charge q is then obtained if ra + +422 +00:31:10,780 --> 00:31:15,430 +رحت للمل نهايةthat is هذا القانون يعني اللي بدي + +423 +00:31:15,430 --> 00:31:18,030 +اهو و هذا اللي بده اعفزه يقول و انا ماعرفش اللي + +424 +00:31:18,030 --> 00:31:23,670 +بيفرج عن ال ايه هذا KQ على R تربية هذا KQ على A طب + +425 +00:31:23,670 --> 00:31:26,430 +هذا القانون احلى او انا ماعرفش اللي بيه R تربية و + +426 +00:31:26,430 --> 00:31:31,870 +بعدين احلى بكتير ان هذا scalar فيها بدي احلل؟ بديش + +427 +00:31:31,870 --> 00:31:35,740 +احلل بقدر احط absolute value لها؟لأ لأنه انت جيه + +428 +00:31:35,740 --> 00:31:40,500 +magnitude تتعاملش مع vector إذا هذه Q كلها بدمها + +429 +00:31:40,500 --> 00:31:44,220 +بلحمها بشحمها دالها هذا القانون بيجيه بالجهود هاي + +430 +00:31:44,220 --> 00:31:47,940 +بتحفظها مش بيه قانون ايه بتساوي KQ علاء التنبيع + +431 +00:31:47,940 --> 00:31:52,240 +ولا لأ إذا عملية سهلة طيب بقول ها دي جيبت هلا شحنة + +432 +00:31:52,240 --> 00:31:57,340 +كده لو عندي شحنتين بقول V1 و V2 وبعدين أجمع بس هنا + +433 +00:31:57,340 --> 00:32:02,990 +في عندك ميزة بيجمع جميع scalars تمام؟as it is + +434 +00:32:02,990 --> 00:32:05,870 +clear from the above equation V is positive for + +435 +00:32:05,870 --> 00:32:08,710 +positive Q and negative for negative Q يعني بيقول + +436 +00:32:08,710 --> 00:32:12,250 +الـ Q ها دي خدها بدمها و بلحمها إذا كت positive + +437 +00:32:12,250 --> 00:32:14,830 +خدها positive negative خدها negative إذا positive + +438 +00:32:14,830 --> 00:32:17,970 +بتكون جهدها موجب و إذا negative بتكون جهدها سائق + +439 +00:32:17,970 --> 00:32:21,890 +ماهيكش عزب النتيجة اللي بتطلع معاك انا القرون + +440 +00:32:21,890 --> 00:32:25,400 +الحلو اللي طلعتهالـ electric potential due to a + +441 +00:32:25,400 --> 00:32:33,580 +group of pointed charges الجبري + +442 +00:32:33,580 --> 00:32:39,800 +يعني خمسة ونقص تلاتة ونقص اتنين وواحد وزفر اجمع + +443 +00:32:39,800 --> 00:32:45,060 +الجبري الجبري الجبري الجبري + +444 +00:32:45,060 --> 00:32:48,380 +يعني خمسة ونقص تلاتة ونقص اتنين وواحد وزفر اجمع + +445 +00:32:48,380 --> 00:32:51,620 +الجبري الجبري الجبري الجببعمل summation عادي طبعا + +446 +00:32:51,620 --> 00:32:57,280 +ال summation بنجلة بتتكامل برضه بسهولة سفر إذا + +447 +00:32:57,280 --> 00:33:02,440 +تسوى سفر طب + +448 +00:33:02,440 --> 00:33:06,920 +و لمّا هو المقدار ممنوع يكون سالب تهاجد على خالتك + +449 +00:33:06,920 --> 00:33:12,020 +منها خليني أقول الكتلة بقاش أقول الكتلة ال energy + +450 +00:33:14,000 --> 00:33:18,240 +حلو عمرك شوفت energy سلبة اجمع energy ناقص خمسة + +451 +00:33:18,240 --> 00:33:22,420 +جول و خمسة جول باهي + +452 +00:33:22,420 --> 00:33:27,320 +المسكينة انت بتتعامل بتجمع جمع جبري الموضوع هو + +453 +00:33:27,320 --> 00:33:33,720 +الخمسة و ناقص خمسة من جمع جبري طبعا + +454 +00:33:33,720 --> 00:33:39,480 +هذه شغلة سهلة بقول don't forget that the sum is + +455 +00:33:39,480 --> 00:33:44,760 +algebraic sum and not vector sumمثل ذلك كان يستخدم + +456 +00:33:44,760 --> 00:33:47,820 +للتركيز على المنطقة الإلكترونية بسبب مجموعة من + +457 +00:33:47,820 --> 00:33:51,940 +اتجارات موجودة في المنطقةthis fact gives an + +458 +00:33:51,940 --> 00:33:55,900 +important advantage of potential of an electric + +459 +00:33:55,900 --> 00:33:59,440 +field عشان كده ال electric potential انشهر اكتر من + +460 +00:33:59,440 --> 00:34:02,640 +المجال الكهربائي هو اللي صار مشهور و هم اللي + +461 +00:34:02,640 --> 00:34:06,240 +بتعاملوا معه كل عمال و الكهربائية اللي في الدنيا + +462 +00:34:06,240 --> 00:34:08,960 +بتعاملوا معه جهود بتعاملوش معه مجال عمروكاش واحد + +463 +00:34:08,960 --> 00:34:12,740 +جالك المجال هنا عالي و المجال هنا واطي بيقولك + +464 +00:34:12,740 --> 00:34:15,020 +الجهود هنا عالي و الجهود هنا واطي كل العمال اللي + +465 +00:34:15,020 --> 00:34:17,460 +بتعرفين عليها جديش جهد اللي في ال breeze هنا شباب + +466 +00:34:18,380 --> 00:34:21,660 +ماكانوا عشان vote عمرك حد قال لك اديش المجال عمرك + +467 +00:34:21,660 --> 00:34:28,300 +سمعت ولا حد بده المجال تمام اذا المجال بطل في قيمة + +468 +00:34:28,300 --> 00:34:29,600 +له تمام + +469 +00:34:32,740 --> 00:34:36,060 +بنشوف مثلًا شباب بيقول لي two pointed charges شوف + +470 +00:34:36,060 --> 00:34:38,520 +الـ Q في اللي انا مثلًا بصير ما أسهلها two pointed + +471 +00:34:38,520 --> 00:34:43,720 +charges of Q1 equal two micro coulombs and Q2 + +472 +00:34:43,720 --> 00:34:47,840 +equal minus six micro coulombs are arranged as + +473 +00:34:47,840 --> 00:34:52,240 +shown find هاي الشحنات كام شحنة فيه؟ تنتين واحدة + +474 +00:34:52,240 --> 00:34:54,920 +حمرا واحدة زرقا يعني واحدة موجة بواحدة زالي بقى + +475 +00:34:55,130 --> 00:34:58,950 +الموجبة Q1 equal 2 microcoulomb و Q2 equal minus 6 + +476 +00:34:58,950 --> 00:35:01,790 +microcoulomb الابعاد تبعتي او point four meter و + +477 +00:35:01,790 --> 00:35:04,770 +three meter و four meter و three meter وبالتالي في + +478 +00:35:04,770 --> 00:35:08,210 +فغورس بيطلع لضلع التالت five meter ايش بدهوا؟ the + +479 +00:35:08,210 --> 00:35:10,470 +electric potential at point P بدهوا الجهاز عنده + +480 +00:35:10,470 --> 00:35:10,910 +نقطة P + +481 +00:35:15,160 --> 00:35:18,820 +the change in potential energy of the system plus + +482 +00:35:18,820 --> 00:35:22,360 +a charge Q3 that moves from point infinity to + +483 +00:35:22,360 --> 00:35:26,960 +point P بيقول لو كان في عندك شحنة تالتة وين موجودة + +484 +00:35:26,960 --> 00:35:29,420 +في الأول؟ في المنارة النهائية اهل ال gate موجودة + +485 +00:35:29,420 --> 00:35:30,440 +في المنارة النهائية اهل ال gate بالمنارة النهائية + +486 +00:35:30,440 --> 00:35:35,560 +تحطها عند النقطة B قدش اتغيرات ال energyتمام؟ نشوف + +487 +00:35:35,560 --> 00:35:39,060 +المكتوب الأول solution ماقلّه فيش أسهل منها الجهود + +488 +00:35:39,060 --> 00:35:45,600 +الجهود سهل جدا بتقول V بتسوي V واحد زاد V اتنين V + +489 +00:35:45,600 --> 00:35:49,720 +واحد cake U واحد على R واحد زاد cake U اتنين على R + +490 +00:35:49,720 --> 00:35:55,800 +اتنين بس سهل جدا لها عامة direction ولا تطلع على + +491 +00:35:55,800 --> 00:35:59,760 +ال direction ولا بدك تحلل ولا بدك تغلب حالك شوفوا + +492 +00:35:59,760 --> 00:36:06,460 +صممعامية ككو1 على 1 زي ككو2 على 2 تظهر عندك ان كو1 + +493 +00:36:06,460 --> 00:36:08,780 +مش absolute values الموجة بتحط الموجة مش سالب + +494 +00:36:08,780 --> 00:36:16,000 +بتحطه سالب او نقول كما نسيناهاش 9 10 تنورناها okay + +495 +00:36:16,000 --> 00:36:21,500 +كو1 two macro column positive اذا باروان المسافة + +496 +00:36:21,500 --> 00:36:25,660 +بين بي و كو1 اربعة متر صح ولا لأ من وين جات ال + +497 +00:36:25,660 --> 00:36:32,090 +minus هذه؟من الـ 6 minus 6 طبعاً حولتي الماكرو + +498 +00:36:32,090 --> 00:36:34,990 +كلهم بس طلعتها برا 10 to the power of minus 6 قديش + +499 +00:36:34,990 --> 00:36:39,830 +المسافة بين النقطة Q2 و النقطة P 500 أكتر أوطة طلع + +500 +00:36:39,830 --> 00:36:42,990 +ال .. ما يعني انا اسمه minus 6.29 10 to the power + +501 +00:36:42,990 --> 00:36:46,870 +of 3 volt طلع الجواب صائب عشان كده نادى لما + +502 +00:36:46,870 --> 00:36:48,930 +نقولكوا ماوجدوا الجهد في المتحنات لأن هى بتاعة + +503 +00:36:48,930 --> 00:36:52,490 +ولادي صغارخلصنا منها ماشي عملتوها في المجارس + +504 +00:36:52,490 --> 00:36:56,730 +وزوجتوا منها تمام؟ يعني الناس على المجال الكهربائي + +505 +00:36:56,730 --> 00:36:59,410 +بنقول يلا هتشوفهم بيعرفوا يفرجوا ما بين جامعة + +506 +00:36:59,410 --> 00:37:01,670 +vectors و جامعة scholars ولا .. ولا هي لأ بنقول + +507 +00:37:01,670 --> 00:37:03,730 +احنا لو بنجيب سؤال زي هذا .. بنقول احنا بنعلم + +508 +00:37:03,730 --> 00:37:06,510 +أولاد في الروضة نعلمهم كيف يجمعوا و كيف يطرحوا .. + +509 +00:37:06,510 --> 00:37:11,110 +تعابب عليهم والله يعني .. يكونوا عارفين حاجتنا .. + +510 +00:37:11,110 --> 00:37:14,210 +مضمونش نعلمهم حاجتكم يعني .. نجيب سؤال زي هذا .. + +511 +00:37:14,210 --> 00:37:20,280 +جامعة .. اللي احنا بنرضهاش .. احنا بنرضهاش ..بنشوف + +512 +00:37:20,280 --> 00:37:22,580 +المقبض التاني بيقولي the change in potential + +513 +00:37:22,580 --> 00:37:26,100 +energy PE عن potential energy is equal to the work + +514 +00:37:26,100 --> 00:37:30,500 +required بيقولي أنت بدك Delta U يعني Delta U ثم + +515 +00:37:30,500 --> 00:37:35,160 +Delta U هي مش سوى الشغل صح ولا لأ is equal to the + +516 +00:37:35,160 --> 00:37:38,380 +work required by an external agent to bring Q3 + +517 +00:37:38,380 --> 00:37:42,440 +from infinity to point B بيقولي أنت بدك تحرك Q3 من + +518 +00:37:42,440 --> 00:37:49,560 +النهاية للنقطة B طب إيش هسوي؟ أنت ولدالجهد عنده + +519 +00:37:49,560 --> 00:37:53,860 +النقطة B ايش عرفته؟ قولت هو الشغل اللازم عشان أنقل + +520 +00:37:53,860 --> 00:37:58,180 +وحدة الشحنات الموجبة من المال نهاية لتلك النقطة + +521 +00:37:58,180 --> 00:38:03,400 +ساكرين؟ الجهد عند نقطة B هو الشغل اللازم عشان أنقل + +522 +00:38:03,400 --> 00:38:06,920 +وحدة الشحنات الموجبة من المال نهاية لتلك النقطة + +523 +00:38:06,920 --> 00:38:14,270 +سؤال الآن الجهد عنده النقطة B طلعته انا وياكمهذا + +524 +00:38:14,270 --> 00:38:17,050 +.. انسوا هذا الرقم اعتبروه خمسة volts .. هذا + +525 +00:38:17,050 --> 00:38:21,610 +اعتبره خمسة volts بقولك احسب الشغل اللازم عشان + +526 +00:38:21,610 --> 00:38:24,910 +انقل شحنة موجة بقى .. من المال .. شحنة موجة بقى + +527 +00:38:24,910 --> 00:38:28,270 +مقدارها واحد .. من المال نهاية للنقطة B .. كداش + +528 +00:38:28,270 --> 00:38:31,990 +الشغل؟ خمسة volts .. خمسة volts .. خمس يول بس + +529 +00:38:31,990 --> 00:38:38,920 +بيصير .. خمس يول .. لأنه الشغل بيساوي جهودعشان + +530 +00:38:38,920 --> 00:38:43,540 +أنجل شحنة مقدارها واحد ببذل خمس جهود، طب لو بدي + +531 +00:38:43,540 --> 00:38:48,180 +أنجل شحنة مقدارها اتنين، ايه كم؟ عشرة، طب لو بدي + +532 +00:38:48,180 --> 00:38:52,180 +أسوأ تلاتة، خمس عاشر، اذا اذا عرفت انا الجهود + +533 +00:38:52,180 --> 00:38:55,780 +والشحنة المنقولة بيسويش واحد، اذا الشغل بيسوي + +534 +00:38:55,780 --> 00:38:59,180 +الشحنة المنقولة في الجهود وخلاص، صح ولا لأ؟ انت + +535 +00:38:59,180 --> 00:39:03,340 +انتهت القضية، بيقولي that change، اذا delta U + +536 +00:39:03,340 --> 00:39:06,600 +بيسوي الشغل بيسوي Q تلاتة في النقطةالـ Q ثلاثة، لو + +537 +00:39:06,600 --> 00:39:08,860 +هي الـ Q ثلاثة هي نفسها، ولا لا؟ لو الـ Q ثلاثة + +538 +00:39:08,860 --> 00:39:14,280 +بيساوي واحد، هذه التعريف الشغل بيساوي الجهد، تمام؟ + +539 +00:39:14,280 --> 00:39:17,800 +الشغل بيساوي الجهد، لكن لو إنها .. إذا .. إذا وقتش + +540 +00:39:17,800 --> 00:39:20,380 +.. الشغل بيساوي الشغل .. الجهد، إذا كانت الـ Q + +541 +00:39:20,380 --> 00:39:24,340 +بيساوي واحد، بيساويش واحد، ضربها، بيقول إنه بيساوي + +542 +00:39:24,340 --> 00:39:27,280 +اللي بدك تنقلها مقدرها تلاتة في عشر أو سلب ستة + +543 +00:39:27,280 --> 00:39:34,360 +الشغل .. الجهد أنت جبته، طلعت الجواب، تم؟ خلاص؟ + +544 +00:39:34,360 --> 00:39:38,640 +بس، خلاصطبعاً في حالة تانية لها ايش الحالة التانية + +545 +00:39:38,640 --> 00:39:48,180 +الصعبة او قوية مش صعبة يعنى هو بيحكيلي شباب بيقولي + +546 +00:39:48,180 --> 00:39:51,280 +the charge that change in potential energy of the + +547 +00:39:51,280 --> 00:39:54,960 +system plus a charge Q تلاتة that moves from + +548 +00:39:54,960 --> 00:39:58,560 +infinity to point Bبقول لان ان انت عندك هاد ال Q + +549 +00:39:58,560 --> 00:40:02,000 +تلاتة برا جيب ال potential energy و حط ال Q تلاتة + +550 +00:40:02,000 --> 00:40:04,520 +و جيب ال potential energy و طرحهم من بعض بتطلع نفس + +551 +00:40:04,520 --> 00:40:06,940 +الجواب طبعا كيف اجيب ال potential energy قصة هذه + +552 +00:40:06,940 --> 00:40:10,680 +لسه اما اسهل حاجة اذا ما زال بده ل change ال + +553 +00:40:10,680 --> 00:40:12,920 +potential energy المرات بيقولك find the word + +554 +00:40:12,920 --> 00:40:16,480 +عالطول بديكيها مباشرةfind the work required to + +555 +00:40:16,480 --> 00:40:18,940 +move at schedule from point to point from infinity + +556 +00:40:18,940 --> 00:40:22,520 +to point or from point to point حسب التعريف بس فرق + +557 +00:40:22,520 --> 00:40:26,120 +الجهود في شحن الموقولة فرق الجهود في شحن الموقولة + +558 +00:40:26,120 --> 00:40:29,020 +اذا جهود واحد معناته النقطة اللي بتكون في المدى + +559 +00:40:29,020 --> 00:40:34,900 +نهاية انا بس انك تسأل السؤال هذا ليه طلعت طموجة + +560 +00:40:34,900 --> 00:40:40,920 +يعني انت جازدك هنا و اين راح السارق؟ + +561 +00:40:44,040 --> 00:40:47,740 +و اين راح السالب؟ + +562 +00:40:47,740 --> 00:40:51,360 +مش جال تيو بس هو سالب و هو لسه على كتابته القانون + +563 +00:40:51,360 --> 00:40:54,780 +طب و اين راح السالب؟ ليش انت بتضحك علينا؟ مرة بتحط + +564 +00:40:54,780 --> 00:40:58,400 +موجة و مرة بتحط سالب طلع عليها المدفوكش مكتوب كلمة + +565 +00:40:58,400 --> 00:41:02,020 +an external agent هلجيت طلع عليها نرجع لما انا + +566 +00:41:02,020 --> 00:41:06,340 +شرحت زمان انا ناجي الهادي من هال لهال شغلي موجة + +567 +00:41:06,340 --> 00:41:12,760 +ولا سالب؟ شغلي جاذبية؟شغل الجاذبية بيساوي سالب + +568 +00:41:12,760 --> 00:41:18,600 +Delta U ده ايه شغلي؟ بيساوي Delta U فهذا مش شغل + +569 +00:41:18,600 --> 00:41:22,580 +القوة الكهربية شغلي انا external agent فبنروح + +570 +00:41:22,580 --> 00:41:25,980 +السالب عشان كده the work required لما يقولك + +571 +00:41:25,980 --> 00:41:29,460 +required يعني بواسط قوة خارجية مش شغل ال + +572 +00:41:29,460 --> 00:41:34,060 +conservative force انا لما اقول شباب انه Delta U + +573 +00:41:35,120 --> 00:41:39,860 +بساوة سالب و هجي ل conservative force هجي شغل + +574 +00:41:39,860 --> 00:41:44,040 +القوة الكهربية لكن لما يكون شغلي انا بروح السالب + +575 +00:41:44,040 --> 00:41:48,620 +لأن شغلي انا عكس شغل القوة الجاذبية سهولة زي ما + +576 +00:41:48,620 --> 00:41:51,800 +انا هجي جاذبيا لقوة الكهربية و كان في سؤال فيزيائي + +577 +00:41:51,800 --> 00:41:56,120 +فهيك ان كيف اجيب الشغل لقوة خارجية و قلنا لكم ايام + +578 +00:41:56,120 --> 00:42:02,730 +السالب روح في هذه الحالة تمام شباببنش ننسى ال quiz + +579 +00:42:02,730 --> 00:42:06,030 +الشباب بيخلصوا يومه لجمعة المرة هذه ما تقولوليش + +580 +00:42:06,030 --> 00:42:10,530 +كهربا و مش كهربا مش همدده بالمرة هاي معاكم من + +581 +00:42:10,530 --> 00:42:13,390 +اليوم الكهربا من هال لجمعة ان شاء الله بتيجي عدة + +582 +00:42:13,390 --> 00:42:17,090 +مرات تمام؟ بتتأقلموا حالكم زي ما انكم بتتأقلم + +583 +00:42:17,090 --> 00:42:20,930 +حالكم و بتخسن على غسلة automatic بالكهربا و بتظبط + +584 +00:42:20,930 --> 00:42:23,690 +حالكم و بتظبط حالكم و تدلوا بتكونوا ولا بتكونوا + +585 +00:42:23,690 --> 00:42:28,150 +الشباب؟بتكون ولا بتكونش كيف بتعقلبوا حياتكم انه + +586 +00:42:28,150 --> 00:42:30,890 +يوم الكهربا بتكون وانت ممكن تعقلبوا حياتكم يوم + +587 +00:42:30,890 --> 00:42:34,570 +الكهربا ممكن تعمل quiz ماتقولوش الكهربا جتاعة تمام + +588 +00:42:34,570 --> 00:42:35,230 +يعطيكوا العافية + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..e376da168415c9b11c8b6256a26db39ea59d9876 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8_raw.srt @@ -0,0 +1,2368 @@ +1 +00:00:11,040 --> 00:00:16,010 +بسم الله الرحمن الرحيم كمان مرةالـ quiz chapter 2 + +2 +00:00:16,010 --> 00:00:19,230 +هيبدأ ساعتين او دهران طبعا ليش عملتوا اتنين اتنين + +3 +00:00:19,230 --> 00:00:22,110 +انا عادة بعمله تمانية لأنه انا متوقع انه في ال + +4 +00:00:22,110 --> 00:00:25,590 +weekend الماضي طلاب استعدوا لل chapter وما بيصدقوا + +5 +00:00:25,590 --> 00:00:29,230 +دمصر و الدار و يبدوا فيه فقولت بديش أخرهم لساعتين + +6 +00:00:29,230 --> 00:00:31,950 +اتين قبل ما يناموا و يتغدوا يفوتوا على ال quiz و + +7 +00:00:31,950 --> 00:00:36,730 +يحلوا بدي استمر ليوم الجمعة الساعة اتناش الا خمسة + +8 +00:00:36,730 --> 00:00:42,550 +ليلةطبعا لأنه عندنا فترة طويلة وبالتالي مابديش + +9 +00:00:42,550 --> 00:00:45,970 +الطالب يوم الجمعة يبدأ لإن يوم الجمعة إذا عنده + +10 +00:00:45,970 --> 00:00:49,230 +مشكلة كده يصلي حتى لو بعتلي email أنا مش بضرورة + +11 +00:00:49,230 --> 00:00:51,630 +أكون فاضي قاعد على ال laptop و بتابع ال email + +12 +00:00:51,630 --> 00:00:55,730 +تبعكم تمام؟ بالتالي المفروض الطالب يبدأ إذا مش + +13 +00:00:55,730 --> 00:00:59,630 +اليوم بكرة لإن مافيش مجال يشوفني على الضمان إلا + +14 +00:00:59,630 --> 00:01:02,270 +يوم التلاتة في المحاضرة أو حد أقصى يوم الأربعة في + +15 +00:01:02,270 --> 00:01:06,090 +المكتبفبتكون انت جربت و خلصت و اتطمنت ان كل شي + +16 +00:01:06,090 --> 00:01:10,670 +تمام جتعت الكهربا جتعت النت جانبي لهذا الكلام it + +17 +00:01:10,670 --> 00:01:15,160 +is up to you و انت بتتحمل مسئوليةتمام في المحاضرة + +18 +00:01:15,160 --> 00:01:21,520 +الآن هنبدأ شباب بشبطر جديد شبطر three واللي عنوانه + +19 +00:01:21,520 --> 00:01:27,200 +electric potential دايما كل شبطر احنا بنبدأ زي ما + +20 +00:01:27,200 --> 00:01:32,500 +اقول في شبطر نبدأ شبطر three electric potential ال + +21 +00:01:32,500 --> 00:01:35,920 +problem اللي كنتوا مفروض صراحة عندكم موجودة بس + +22 +00:01:35,920 --> 00:01:40,440 +برضهفي إعادة إفادة ال problems ال recommending + +23 +00:01:40,440 --> 00:01:46,060 +المطلوبة منها كحدد أدنى نحلها من الكتاب هي 3 5 7 9 + +24 +00:01:46,060 --> 00:02:04,520 +15 17 21 22 23 33 34 43 45 46 49 58 59 66 68 69 71 + +25 +00:02:05,630 --> 00:02:08,210 +هذه الأسئلة المطلوب أن نحلها طبعا موجودة عينكم + +26 +00:02:08,210 --> 00:02:13,510 +طبعا نبدأ potential difference and electric + +27 +00:02:13,510 --> 00:02:17,390 +potential كلمة potential مرت معانا من كلمة + +28 +00:02:17,390 --> 00:02:23,950 +potential energy طاقة الوضع براو كل قوة لها طاقة + +29 +00:02:23,950 --> 00:02:33,570 +وضعلأ المحافظة لكل قوة محافظة نستخدم قوة محافظة + +30 +00:02:33,570 --> 00:02:38,690 +لكل + +31 +00:02:38,690 --> 00:02:42,190 +قوة محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +32 +00:02:42,190 --> 00:02:42,470 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +33 +00:02:42,470 --> 00:02:42,590 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +34 +00:02:42,590 --> 00:02:42,810 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +35 +00:02:42,810 --> 00:02:42,910 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +36 +00:02:42,910 --> 00:02:43,650 +محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة + +37 +00:02:43,650 --> 00:02:48,620 +محافظة لكل قوةالقوة الكهربية يقولنا قوة محافظة و + +38 +00:02:48,620 --> 00:02:51,200 +ايام قرنناها بقوة الجذب العام يقول نفس الشكل + +39 +00:02:51,200 --> 00:02:54,180 +الرياضي اذا القوة الكهربية هي conservative force + +40 +00:02:54,180 --> 00:02:57,520 +ما زال القوة الكهربية شباب conservative force اذا + +41 +00:02:57,520 --> 00:03:00,680 +في عندى لان potential energy جديدة هي electric + +42 +00:03:00,680 --> 00:03:01,760 +potential energy + +43 +00:03:05,130 --> 00:03:09,470 +يقول لي consider a charged particle يقول لي خلّي + +44 +00:03:09,470 --> 00:03:15,070 +أني يكون عندي جسم مشحون شحنة Q موجود في مجال + +45 +00:03:15,070 --> 00:03:19,890 +كهربائي in a region of an electric field E ما زال + +46 +00:03:19,890 --> 00:03:22,590 +فيه شحنة و مجالي، ما زال فيه قوة ولا مافيش قوة؟ + +47 +00:03:22,590 --> 00:03:27,770 +فيه قوةthis field exerts an electric force on the + +48 +00:03:27,770 --> 00:03:30,890 +particle given by F بساوة Q في E طب انت عايش بتدور + +49 +00:03:30,890 --> 00:03:34,290 +بقوله انا عشان ال potential energy ربطولياها بال + +50 +00:03:34,290 --> 00:03:41,070 +work ذاكرينها انه و بساوة سالب delta U صح ولا لأ و + +51 +00:03:41,070 --> 00:03:43,850 +ال work اللي علاقة بال force ولا لأ اللي علاقة بال + +52 +00:03:43,850 --> 00:03:50,310 +forceبيقول لي when the particle moves from initial + +53 +00:03:50,310 --> 00:03:55,770 +point I to a final point F this force does work + +54 +00:03:55,770 --> 00:04:00,270 +تعمل شغل الشغل قوة و إزاحة اتحركت الشحنة صار في + +55 +00:04:00,270 --> 00:04:03,770 +إزاحة في قوة في قوة ثم صار في شغل طب إيش قيون + +56 +00:04:03,770 --> 00:04:10,110 +الشغل بيقول الشغل بيساوي W بيساوي التكامل F ضد ال + +57 +00:04:10,110 --> 00:04:15,510 +DL أو ال DS صح ولا لأ؟الـDS أو الـDL ليه إزاحة؟ F + +58 +00:04:15,510 --> 00:04:19,450 +إيش بدالتها يا شباب؟ QE مش هي F بيساوي QE لما تكون + +59 +00:04:19,450 --> 00:04:29,190 +ثابتة لما تكون ثابتة لما تكون ثابتة + +60 +00:04:29,190 --> 00:04:35,380 +بصير سهلة تمامبما أن الطاقة الإلكترونية محافظة .. + +61 +00:04:35,380 --> 00:04:39,140 +أنا أديتكم المعلومة .. الطاقة محافظة في اللي + +62 +00:04:39,140 --> 00:04:42,300 +بتشتغل عليها .. نستطيع أن نشتغل فيها طاقة محافظة + +63 +00:04:42,300 --> 00:04:46,560 +.. زي ما عملنا U Spring و U Gravity .. و قولنا U + +64 +00:04:46,560 --> 00:04:50,040 +Gravity بيساوي MGH و U Spring بيساوي نص KX تربيع + +65 +00:04:50,040 --> 00:04:52,580 +إذا كنتوا ذاكرين .. بيقوللي .. بما أن الطاقة + +66 +00:04:52,580 --> 00:04:55,540 +الإلكترونية محافظة .. نستطيع أن نشتغل فيها طاقة + +67 +00:04:55,540 --> 00:05:00,680 +محافظة .. مع هذه الطاقة ..والعلاقة بيقول delta u + +68 +00:05:00,680 --> 00:05:07,340 +بساوي سالف w ذاكرينها؟ مارت عليكم واحدة زي هذه؟ + +69 +00:05:07,340 --> 00:05:14,220 +مارت طب هي ال w هيو اذا انصار في عندى delta u شباب + +70 +00:05:14,220 --> 00:05:23,770 +مش you final نقص you initialQ-E-E-E-E-E-E-E-E-E-E + +71 +00:05:23,770 --> 00:05:34,510 +-E-E-E-E-E-E-E-E-E-E-E-E-E + +72 +00:05:34,510 --> 00:05:39,060 +-Eبيقول let us now define the electric potential V + +73 +00:05:39,060 --> 00:05:41,220 +at the electric potential energy by the unit + +74 +00:05:41,220 --> 00:05:46,120 +charge كيف؟ نرجع لـ gravity الشباب هذا الجلب + +75 +00:05:46,120 --> 00:05:52,600 +شايفينه؟ لو فلقته جابه واقف، بنزل، بقدر أقول إذا + +76 +00:05:52,600 --> 00:05:57,000 +عنده نقطة هادي في مجال جاذبية، صح؟ لو مافيش مجال + +77 +00:05:57,000 --> 00:06:01,160 +جاذبية و حطت الجلب، بتتحرك؟ ماتتحركش طب هذا نزل، + +78 +00:06:01,160 --> 00:06:02,220 +جديش القوة اللي عليه؟ + +79 +00:06:10,460 --> 00:06:14,720 +القوة نفس قوة الجلم ولا MG ايش ده؟ تمام اذا انا + +80 +00:06:14,720 --> 00:06:18,400 +هالجيت بدأ اقول ما زال حطيت كتلة واتحركت بقول في + +81 +00:06:18,400 --> 00:06:22,280 +مجال جاذبية صح ولا لأ؟فبهذه المجالة عرفته و في + +82 +00:06:22,280 --> 00:06:24,860 +مجال كهرباية و حسبته قاللي شغلة تانية بدي غير + +83 +00:06:24,860 --> 00:06:28,000 +المجال قوللي انسى القلم و انسى المحايا و انسى أي + +84 +00:06:28,000 --> 00:06:30,800 +حاجة عند النقطة هذه في مجال و عند النقطة هذه في + +85 +00:06:30,800 --> 00:06:33,500 +مجال و عند النقطة هذه في مجال فجيت المجال مشكلته + +86 +00:06:33,500 --> 00:06:37,500 +مشكلة vector ولا لأ جيبلي كمية مش vector أجيسها + +87 +00:06:37,500 --> 00:06:41,730 +قال خلينا نشتغل على شغلة اسمها جونترهل جيت أنا لما + +88 +00:06:41,730 --> 00:06:46,390 +أقول راح الجلم و راحة المحاية، هل نفيت وجود مجال + +89 +00:06:46,390 --> 00:06:49,390 +عند النقطة هذه؟ إذا أنا بهمن النقطة، بيهمنيش الجلم + +90 +00:06:49,390 --> 00:06:53,530 +و المحاية، بيهمن النقطة، أقول عند النقطة في مجال + +91 +00:06:53,530 --> 00:06:58,740 +أو الآن بدي أقول فيه جهودفي جهد بيقوللي إذا هدي Q + +92 +00:06:58,740 --> 00:07:01,620 +بدل الجلم و المحيا الشحنة أنا محط الشحنة اتحركت + +93 +00:07:01,620 --> 00:07:04,940 +قولت في مجال كهربائي ولا لا؟ مش موجود الشحنة انت + +94 +00:07:04,940 --> 00:07:08,420 +فا المجال الكهربائي؟ لأ موجود إذا صار بيقوللي الآن + +95 +00:07:08,420 --> 00:07:12,780 +بدي أعرف شغلة و أنسى Q أنسى المحيا و أنسى الجلم + +96 +00:07:12,780 --> 00:07:19,560 +بدي أنسى Q قال جسم ع Q طيب جسمت ع Q صار عندك كمية + +97 +00:07:19,560 --> 00:07:23,340 +energy على كلهم energy على ال charge ماهياش energy + +98 +00:07:23,340 --> 00:07:29,290 +كمية جيدةهذه كمية جديدة سموها الجهد الكهربائي نقول + +99 +00:07:29,290 --> 00:07:33,470 +let us now define the electric potential V اللي + +100 +00:07:33,470 --> 00:07:39,350 +رمزه capital V من كلمةvolt او voltage هي volt اسم + +101 +00:07:39,350 --> 00:07:43,590 +العالم voltage للوحدة هي voltage برضه إله جابوها + +102 +00:07:43,590 --> 00:07:46,750 +هي ال potential difference او voltage ال electric + +103 +00:07:46,750 --> 00:07:50,030 +potential energy بال limited charge يعني جسم ع ال + +104 +00:07:50,030 --> 00:07:52,690 +charge إذا هي التعريف تبعي الشباب من اليوم الطالع + +105 +00:07:52,690 --> 00:07:58,280 +كمية جديدةpotential مش energy electric potential + +106 +00:07:58,280 --> 00:08:01,540 +potential لحالة بيقول energy potential جهود + +107 +00:08:01,540 --> 00:08:06,120 +كهربائي electric potential لما اقول انا هنا في جهد + +108 +00:08:06,120 --> 00:08:11,080 +مجالي او جاربية بقول فيه جهود بتساوي ايش؟ بتساوي + +109 +00:08:11,080 --> 00:08:15,940 +ال potential energy على ال mass بتطلع حاجة وانه + +110 +00:08:15,940 --> 00:08:23,120 +بديش ال mass هنا غير طب اش الوحدة؟جول على كله مش + +111 +00:08:23,120 --> 00:08:25,660 +بتضطر لأ طيب جاله انت ايش افرج اذا ماكنت جاي + +112 +00:08:25,660 --> 00:08:29,460 +بالمجال و فهمتني انه في مجال بقول المجال كان + +113 +00:08:29,460 --> 00:08:33,020 +مشكلته انه vectors و تعامل معاه صعب طب هد ايش جابت + +114 +00:08:33,020 --> 00:08:37,160 +جالي يول في ال bus vector ولا scalar ولا في المقام + +115 +00:08:37,160 --> 00:08:41,800 +scalar اذا انت أصبح عندك كمية scalar و التعامل مع + +116 +00:08:41,800 --> 00:08:45,760 +ال scalar سهل عشان كده مين أشهر في التعامل التجاري + +117 +00:08:45,760 --> 00:08:50,740 +انت بتقول اكم وورت ولا اكم نيوتنبركلومI can vote + +118 +00:08:50,740 --> 00:08:54,700 +إذا انصارة الكمية الأشهر في التعامل هي الجهود لأنه + +119 +00:08:54,700 --> 00:08:58,260 +scalar تعامله سهل بكرا العامل الكهربائي اللي لا + +120 +00:08:58,260 --> 00:09:00,260 +عمره عارف إيش معاه ال vector و ليش عمره ال scalar + +121 +00:09:00,260 --> 00:09:03,500 +بيصير فتشتر منه بيمديله الكهربا في عمارة كبيرة صح + +122 +00:09:03,500 --> 00:09:08,480 +ولا لأ لأنه اتعامل مع كمية scalars سهلةأذا الكمية + +123 +00:09:08,480 --> 00:09:11,900 +بيقول U على Q طبعا جولة على كلهم قالوا هذي صار + +124 +00:09:11,900 --> 00:09:15,900 +مشهور و أنه نرجع نقول العامل بيتعامل معها لا بعرف + +125 +00:09:15,900 --> 00:09:20,120 +جولة ولا بيعرف كلهم إذا دي وحدة لأنه كمية بتستهل + +126 +00:09:20,120 --> 00:09:22,760 +وحدة قالوا مين الشغل على هذه القضية قالوا volt + +127 +00:09:22,760 --> 00:09:26,820 +قالوا خلاص خلوها volt إذا هذه كمية بدل ما تقل جولة + +128 +00:09:26,820 --> 00:09:31,190 +على كلهم بتستهل تديها وحدة خاصة بيهاthe electric + +129 +00:09:31,190 --> 00:09:34,310 +potential difference between the points I and F is + +130 +00:09:34,310 --> 00:09:38,890 +then طبعا بس نكمل هذي Z طب U final بدي اجسم ع Q + +131 +00:09:38,890 --> 00:09:43,170 +شباب مش بيصير U final ع Q و U initial ع Q U final + +132 +00:09:43,170 --> 00:09:46,270 +ع Q بدي اكتوب علي حالها Z final و U initial ع Q وش + +133 +00:09:46,270 --> 00:09:54,210 +بدي احط محالها؟ Z initial في مشكلة؟ طبعا تمام طيب + +134 +00:09:54,210 --> 00:09:58,370 +نرجع برضه لل potential energy كنا نقول U final نقص + +135 +00:09:58,370 --> 00:10:02,360 +U initial بساوي MGHU final نقص U initial سواء ام + +136 +00:10:02,360 --> 00:10:04,740 +دي اتش بعدين قولنا هذه ال U initial تضايقش تغلب + +137 +00:10:04,740 --> 00:10:09,140 +فيها اعتبرها Zero دلوقتي مش كنا نختارها Zero كيف؟ + +138 +00:10:09,140 --> 00:10:12,220 +ماكننا نختار level اذا كنتوا ذاكرين و ال level هاد + +139 +00:10:12,220 --> 00:10:16,040 +عشان عندها Uish تكون Zero ليش؟ انا بهمني ال Delta + +140 +00:10:16,040 --> 00:10:18,780 +بهمنيش ال U عند نقطة معينة انا بهمني ال Delta + +141 +00:10:18,780 --> 00:10:24,220 +بالتالي انت خد لك reference و خلصنيهنا بس بيعرف + +142 +00:10:24,220 --> 00:10:26,880 +بيقولي the potential difference V final نقص V + +143 +00:10:26,880 --> 00:10:32,700 +initial is defined as the work required to move a + +144 +00:10:32,700 --> 00:10:36,860 +positive unit charge from point I to point F كيف + +145 +00:10:36,860 --> 00:10:43,680 +عملها كل هو هذه Q لما تكون موجودة هذه شغل صح أو لا + +146 +00:10:43,680 --> 00:10:50,720 +هذه شغلإذا الجهد هو الشغل اللي لازم عشان ينقل شحنة + +147 +00:10:50,720 --> 00:10:54,500 +هادي و مقتش بيصير هادي، لما هادي بيصير واحد، مظبوط + +148 +00:10:54,500 --> 00:10:59,600 +ولا لا؟ يعني هادي و هادي بيساوي بعض إذا Q بيصير + +149 +00:10:59,600 --> 00:11:02,820 +واحد ولا لا، طلع الطرف هذا و الطرف هذا، لو Q هنا + +150 +00:11:02,820 --> 00:11:05,500 +بيصير واحد باشي نفسي هادي، هجد هادي شغل ولا مش + +151 +00:11:05,500 --> 00:11:08,970 +شغل؟إيه كام ال key بيساوي واحد دلوقت شغل لذا + +152 +00:11:08,970 --> 00:11:12,630 +بيقوللي الجهد بيساوي الشغل اللي لازم عشان أنقر شو + +153 +00:11:12,630 --> 00:11:16,570 +احنا مقدرها جديش واحد من نقطة I لنقطة F هاي + +154 +00:11:16,570 --> 00:11:20,570 +التعريف تمام مش مهم التعريف ليه عشان أحفظه تمام بس + +155 +00:11:20,570 --> 00:11:24,110 +عشان نعرف أين نجيبهبقول since it is only the + +156 +00:11:24,110 --> 00:11:27,710 +change in potential انا انبهرني delta u مش ال U + +157 +00:11:27,710 --> 00:11:31,170 +between two points that has physical sense الها + +158 +00:11:31,170 --> 00:11:34,650 +معنى فيزيائي it is often convenient to choose a + +159 +00:11:34,650 --> 00:11:38,030 +reference point for zero potential زي ال level تبع + +160 +00:11:38,030 --> 00:11:40,310 +ال gravity طبعا ال level تبع ال spring كنا دايما + +161 +00:11:40,310 --> 00:11:43,890 +نحطه لكل preamposition صح ولا لأ؟ اذا وين في U + +162 +00:11:43,890 --> 00:11:47,940 +دايما عندك level تبع ال zero و تبعتهتمام؟ بالنسبة + +163 +00:11:47,940 --> 00:11:50,360 +للـ gravity كان 100 ألف level أختار level مرة على + +164 +00:11:50,360 --> 00:11:52,560 +الطوارق و مرة على الأرض و مرة على السجف إذا كنتوا + +165 +00:11:52,560 --> 00:11:55,800 +ذاكرين في أحد الأسئلة أما بالظنبالك ماقلناش نحتار + +166 +00:11:55,800 --> 00:11:58,420 +وين دايما ال level تبعنا؟ على ال equilibrium لأنه + +167 +00:11:58,420 --> 00:12:01,920 +هناك جدش يوتو بعدها zero هنا بقولي دايما اختار + +168 +00:12:01,920 --> 00:12:05,800 +zero this reference point is usually chosen to be + +169 +00:12:05,800 --> 00:12:08,300 +at infinity ده بيريح عليك هدي المقطع هدي الملمي + +170 +00:12:08,300 --> 00:12:11,890 +هيها هجي الشباب هايش أحنامجالها عند المنة النهائية + +171 +00:12:11,890 --> 00:12:15,410 +كده؟ إذا انجهودها 0 إذا عند المنة النهائية مالها + +172 +00:12:15,410 --> 00:12:17,650 +جهود؟ قال لي خد النقطة اللي بالك بعتك عند المنة + +173 +00:12:17,650 --> 00:12:20,650 +النهائية بيقول لي is usually chosen to be at + +174 +00:12:20,650 --> 00:12:23,830 +infinity يعني V عند المنة النهائية كده؟ Zero إذا + +175 +00:12:23,830 --> 00:12:27,330 +بتصير letting the point I ال initial point + +176 +00:12:27,330 --> 00:12:31,930 +infinity احنا إيش كان فيه عندي؟ V final نقص V + +177 +00:12:31,930 --> 00:12:35,770 +initial سو سالي بالتكامل من initial ل final E dot + +178 +00:12:35,770 --> 00:12:41,820 +dl هيك مش عملتها؟ هي تاني إيش بتخليها؟ طوحماذا يجب + +179 +00:12:41,820 --> 00:12:48,040 +ان اضافة اي هنا؟ مش infinity؟ خلاص بيقول let the + +180 +00:12:48,040 --> 00:12:51,600 +point i to be infinity and designate point f as + +181 +00:12:51,600 --> 00:12:55,780 +point b ما زال هذه راحة بل عندك final initial ما + +182 +00:12:55,780 --> 00:12:58,960 +زالش عندك نقطة واحدة اذا بلاش حط final حطها نقطة + +183 +00:12:58,960 --> 00:13:03,360 +بي and designate point f as point b مافيش غيرها + +184 +00:13:03,360 --> 00:13:06,680 +the electric potential at any point عند نقطة واحدة + +185 +00:13:06,680 --> 00:13:10,060 +حاجة لان عند نقطة النقطة التانية هون بتكون عند + +186 +00:13:10,060 --> 00:13:15,280 +الملا نهايةنفس القانون بس بدل initial حصلت final + +187 +00:13:15,280 --> 00:13:19,020 +بدل F حطت PP يعني point لإن مافيش عندي initial و + +188 +00:13:19,020 --> 00:13:23,220 +final خاص point بكفيني هاد الجهد عند نقطة طب إيه + +189 +00:13:23,220 --> 00:13:27,700 +يعرفون؟ لما عرفت أنا هنا كان هنا initial قولت فرق + +190 +00:13:27,700 --> 00:13:32,460 +الجهد بين نقطين بسوء الشغل اللازم عشان أنقل وحدة + +191 +00:13:32,460 --> 00:13:36,580 +الشحنات من initial ل final صح ولا لأ طب هنا من وين + +192 +00:13:36,580 --> 00:13:41,140 +ل وين؟ من منا نهاية للنقطة إذا بقوللي في هذا + +193 +00:13:41,140 --> 00:13:46,950 +التعريفالطاقة الهوائية في أي موقع .. في أي موقع .. + +194 +00:13:46,950 --> 00:13:51,050 +موقع واحدة .. يمكن أن تكون مصممة من العمل اللي + +195 +00:13:51,050 --> 00:13:54,590 +يتطلبه أن يحضر موارد مجموعة مفتوحة .. موارد مجموعة + +196 +00:13:54,590 --> 00:13:59,100 +.. من الانفجار إلى ذلك الموقع .. في هذا المعنىin + +197 +00:13:59,100 --> 00:14:02,460 +this sense the potential at a point is a potential + +198 +00:14:02,460 --> 00:14:05,000 +difference يعني أن النقطة هو potential difference + +199 +00:14:05,000 --> 00:14:09,040 +بين نقطين واحدة منهم وين؟ في المنا نهاية in this + +200 +00:14:09,040 --> 00:14:10,640 +sense the potential at a point is a potential + +201 +00:14:10,640 --> 00:14:12,740 +difference between that point and a point at + +202 +00:14:12,740 --> 00:14:16,300 +infinity إذا لما يقولي أوجد الجهد عند نقطة وكأنه + +203 +00:14:16,300 --> 00:14:18,820 +بيقولي أوجد فرق الجهد بين النقطة هذه ونقطة المنا + +204 +00:14:18,820 --> 00:14:21,140 +نهاية لما يقولي عند نقطة معناته نقطة الأولى + +205 +00:14:21,140 --> 00:14:23,880 +التانية وراحت في المنا نهايةعطوه by default لما + +206 +00:14:23,880 --> 00:14:27,420 +يقول عن نقطة ال initial point مالنهاية اما لما + +207 +00:14:27,420 --> 00:14:30,060 +يقول ال initial point و final point بيكون أداني كل + +208 +00:14:30,060 --> 00:14:35,900 +المعطيات تمام؟ بيقول from the above definition we + +209 +00:14:35,900 --> 00:14:40,640 +conclude that the electric potential is a scalar + +210 +00:14:40,640 --> 00:14:44,980 +quantity هاي أول ميزة وميزة كبيرة تمام؟ + +211 +00:14:46,290 --> 00:14:50,330 +the SI unit of V is Joule Per Coulomb هي Joule Per + +212 +00:14:50,330 --> 00:14:54,350 +Coulomb usually represented by a special unit + +213 +00:14:54,350 --> 00:14:58,850 +called volt كلكم عارفينها يعني واحد volt بيساوي + +214 +00:14:58,850 --> 00:15:01,470 +واحد Joule على كلهم ولا لأ؟ في مشكلة؟ ال volt هي + +215 +00:15:01,470 --> 00:15:04,590 +نفس Joule على كلهم لكن عشان مشهورة طوها وحدتها + +216 +00:15:04,590 --> 00:15:09,710 +الخاصة بيها it followed that حلو فجيت أنا في عندي + +217 +00:15:09,710 --> 00:15:15,050 +شغلة قال لي V بتسوي E و هنا DLصح هاجتها دى مشهورة + +218 +00:15:15,050 --> 00:15:18,150 +كتير كتير صارت أشهر منها دى هدى إيش واحدة انت + +219 +00:15:18,150 --> 00:15:22,750 +بتعرفوها انتوا ال newton هاكلوه جيلي فلتك من ال + +220 +00:15:22,750 --> 00:15:26,730 +newton في واحدة أحلى منها مش هدى volt بقدر أقول + +221 +00:15:26,730 --> 00:15:31,330 +إيه بيساوي volt على مترمش ورط على متر، اذا ورط على + +222 +00:15:31,330 --> 00:15:36,110 +متر، فصار في الـ E لها وحدتين، اما نيوتن ع كلهم او + +223 +00:15:36,110 --> 00:15:39,610 +ورط على متر، it follows that the electric field + +224 +00:15:39,610 --> 00:15:43,230 +has a unit of volt per meter، ورط على متر، with + +225 +00:15:43,230 --> 00:15:47,640 +واحد نيوتن ع كلهم او واحد ورط على متر كل واحدأنا + +226 +00:15:47,640 --> 00:15:50,100 +قلت لكم في المجال الكهربائي هيكون له كمان واحدة + +227 +00:15:50,100 --> 00:15:54,580 +هتيجينا لاحقا فكثير بيستخدموا واحدة المجال شوف صار + +228 +00:15:54,580 --> 00:15:58,940 +يوصفوه أو يلحقوه بال volt من كتر ما صار ال volt + +229 +00:15:58,940 --> 00:16:03,440 +أشهر من المجال الكهربائي فصار واحدة المجال جاية من + +230 +00:16:03,440 --> 00:16:07,380 +الجهود جاية من الجهود volt على متر من هنا هذه متر + +231 +00:16:07,380 --> 00:16:10,480 +وهذه volt إذا ايه بيسوي volt على متر تطلع واحدة + +232 +00:16:10,480 --> 00:16:16,250 +المجال الكهربائي حلونبدأ بمثال بسيط جدا تقول يا + +233 +00:16:16,250 --> 00:16:19,410 +أبو ريتون البروتون جسم مشهور و لا مشهور شحناته + +234 +00:16:19,410 --> 00:16:22,390 +بتعرفوها موجب ولا سالبة موجب و مقدرها واحد point + +235 +00:16:22,390 --> 00:16:25,470 +sixteen to power minus nineteen معروفة is released + +236 +00:16:25,470 --> 00:16:30,950 +from rest in a uniform electric field فلقته من + +237 +00:16:30,950 --> 00:16:35,510 +السكون فلقته بيبقى ساكت هو موجود في مجال صح ولا لأ + +238 +00:16:35,510 --> 00:16:39,130 +مازال موجود في مجال بتتحرك بتتحرك مع المجال ولا ضد + +239 +00:16:39,130 --> 00:16:45,270 +المجال عشان هو بروتون براو عليكم تمامالـElectric + +240 +00:16:45,270 --> 00:16:46,830 +Field هي الـMagnitude تبعه، شوفوا إيش واحدة + +241 +00:16:46,830 --> 00:16:50,870 +تدانيها على طول، بولت على متر، الواحدة الجديدة، طب + +242 +00:16:50,870 --> 00:16:53,890 +لو واحد جالي نيوتن على كل واحد، بقوله صح، بس عشان + +243 +00:16:53,890 --> 00:16:57,150 +يعودك على أنه في عندي واحدة جديدة الآن The proton + +244 +00:16:57,150 --> 00:17:00,090 +undergoes a displacement of 0.5 متر، اتحرك + +245 +00:17:00,090 --> 00:17:04,230 +البروتون، مسافة نص متر، in the direction of E، أه، + +246 +00:17:04,230 --> 00:17:06,790 +بيتحرك في ال direction تبع E، قطع، تمام، مافيش + +247 +00:17:06,790 --> 00:17:12,430 +مشكلة عندي، ده أنه positive، تمام؟هذه المجال وهذه + +248 +00:17:12,430 --> 00:17:16,890 +في المنطقة طبعا uniform و بديو يجي اتجاه و هيك اذا + +249 +00:17:16,890 --> 00:17:20,430 +ان البوزر تبلى negative كلكم عارفينها هاي البروتون + +250 +00:17:20,430 --> 00:17:23,530 +هجيت انا بدي افلط البروتون انا ماعرف كوه هالجيت + +251 +00:17:23,530 --> 00:17:28,210 +بدي افلط و إيش مصير فيه؟ بيظهر واجف؟ بيظهر يتحرك + +252 +00:17:28,210 --> 00:17:35,470 +اتحرك والله تمام؟ حركنا؟ بديش اتحرك نص متر جالي يا + +253 +00:17:35,470 --> 00:17:40,420 +سيدي بين نص متر فهي نص مترتمام سبب؟ لو negative + +254 +00:17:40,420 --> 00:17:43,800 +أفلته عند الحمرة، بتحرك؟ لأ، بيبقى اللي ملزق في + +255 +00:17:43,800 --> 00:17:46,920 +الحمرة عشان اتحرك بيحطه عند الزرقة صح ولا لأ؟ لو + +256 +00:17:46,920 --> 00:17:51,140 +كان electron عشان يتحرك تمام؟ إيش بده هذا؟ هاي + +257 +00:17:51,140 --> 00:17:53,960 +مجال الخطوط الخضراء هذه المنقطة، إيش بده؟ بيقولي + +258 +00:17:53,960 --> 00:18:00,040 +find فرق جهد ما بين Vb وVa، في فرق جهد find ΔU؟ + +259 +00:18:00,350 --> 00:18:03,550 +عشان ما تنساش ان دلتا D جاي من دلتا U find the + +260 +00:18:03,550 --> 00:18:06,250 +speed of the proton at point P بش هو كان في الأول + +261 +00:18:06,250 --> 00:18:10,450 +ساكن هنا شباب فلقته مش هنا لمّا وصل هان في رسولة + +262 +00:18:10,450 --> 00:18:17,710 +عجيب ليها واضحش بدي أجيبه؟ نشوف بيقوللي delta V + +263 +00:18:17,710 --> 00:18:21,810 +فرق الجهد من initial و final ال initial ايه ولا مش + +264 +00:18:21,810 --> 00:18:25,550 +ايه؟ و ال final؟ اذا مدر ما قول initial و final هو + +265 +00:18:25,550 --> 00:18:30,580 +قاللي a و b قلت a و bV فانيال نقص V initial فانيال + +266 +00:18:30,580 --> 00:18:33,700 +نقص initial بصوت سالب هذا التعريف التكامل من + +267 +00:18:33,700 --> 00:18:38,660 +initial ل final E dot dl صحيح يا شباب؟ E جلي + +268 +00:18:38,660 --> 00:18:43,700 +uniform ولا ماجليش؟ مش جلي uniform تطلع برا طيب + +269 +00:18:43,700 --> 00:18:47,240 +هتشوفين انتوا كيف تتحرك ال proton؟ ال displacement + +270 +00:18:47,240 --> 00:18:54,760 +كيف تجاهها طب و ال E الانتظار تبقى واحداذا دكتور + +271 +00:18:54,760 --> 00:18:58,380 +بوداك روحت و ايه قال uniform مُعطَى بتطلع عبارة عن + +272 +00:18:58,380 --> 00:19:05,460 +التكامل ايش تكامل ال DMT الهيموسميتر الهيموسميتر + +273 +00:19:05,460 --> 00:19:11,460 +اذا قال لي since E and DL are parallel مظبوط ولا + +274 +00:19:11,460 --> 00:19:18,150 +لا يا شباب فرد هيكراحت الدكتور بودكتر since E is + +275 +00:19:18,150 --> 00:19:23,290 +uniform ارجع و لأ سطنته بشوف الدكتور بودكتر ميتضرر + +276 +00:19:23,290 --> 00:19:29,390 +الله احنا مظبوط ولا لأ الان E since E is uniform + +277 +00:19:29,390 --> 00:19:33,530 +تعريف هذا هو حكاية ليه مقطع it can be taken out + +278 +00:19:33,530 --> 00:19:38,680 +from the integral signE D هي المسافة النصف متر + +279 +00:19:38,680 --> 00:19:43,860 +اللي حكى عنها زمانكم تمام E أعطاني قيمتها و D قداش + +280 +00:19:43,860 --> 00:19:54,360 +نصف متر طالعش جوا بالسالب طيب هدى قولنا V P نقص V + +281 +00:19:54,360 --> 00:20:03,240 +A و لا لأ فالجواب موجب و لا سالب ايه اكبر ايه اكبر + +282 +00:20:03,240 --> 00:20:10,100 +طب نرجع نرجع نرجعليش a أكبر للموجة بقى و b سالبة؟ + +283 +00:20:10,100 --> 00:20:16,080 +منطق ايه؟ منطق تكون جهود a أكبر من جهود b طبعا + +284 +00:20:16,080 --> 00:20:21,160 +طلعت معايا سالبة بيقولوا from the minus sign we + +285 +00:20:21,160 --> 00:20:26,960 +conclude that va أكبر من vbبيقول لي P إيش بده؟ بده + +286 +00:20:26,960 --> 00:20:30,280 +Delta U بدي U P نقص U U طب أنا عندي قرون بيقول + +287 +00:20:30,280 --> 00:20:34,620 +Delta V بيسوي Delta U على Q مش هي كان عرفت؟ إذا + +288 +00:20:34,620 --> 00:20:41,200 +Delta V بيسوى Q في Delta V طب و Q مشهور براتون؟1.6 + +289 +00:20:41,200 --> 00:20:46,820 +فعشرة والثالثة و Delta V مضوعتها طلعتها ده فهي + +290 +00:20:46,820 --> 00:20:52,620 +Delta U ماجيبش اشي فى مشكلة الشباب حلو الآن بده + +291 +00:20:52,620 --> 00:20:56,940 +السرعة النهائية السرعة النهائية معوفةالسرعة + +292 +00:20:56,940 --> 00:21:01,100 +النهائية بدّوا إياها والمسافة معروفة لو عرفت ال + +293 +00:21:01,100 --> 00:21:04,320 +acceleration حلت السؤال صح؟ طب ال acceleration + +294 +00:21:04,320 --> 00:21:06,360 +بدّي force ماجدر أجيب ال force وماجدر أجيب ال + +295 +00:21:06,360 --> 00:21:09,320 +acceleration ولا لأ كل شي ماجدر أجيبه بس بقى بقولك + +296 +00:21:09,320 --> 00:21:13,300 +طب أنت لو مافيش عندك acceleration زمان كان في عندك + +297 +00:21:13,300 --> 00:21:19,840 +قانون بيقول delta K زائد delta U بتساوي سفر؟ فجت + +298 +00:21:19,840 --> 00:21:21,400 +هادي مش هيدا + +299 +00:21:30,420 --> 00:21:36,200 +حلت السؤال بدل ما تجيب acceleration و تغلب حالك C + +300 +00:21:36,200 --> 00:21:40,620 +يقول دلتا K زي دلتا U بالساعة صفر نسيته؟ ليه؟ انا + +301 +00:21:40,620 --> 00:21:45,620 +بقول انك دلتا U انت فاشت في نص الحالة خلصته بقولك + +302 +00:21:45,620 --> 00:21:50,140 +مثلا دي تربيع ناقص K initial لانه released from + +303 +00:21:50,140 --> 00:21:57,400 +restزائد هذي من وين شحتها؟ طيب، موجودة، جاهزة، + +304 +00:21:57,400 --> 00:22:07,180 +طلعت فيه، طلعت فيه، في مشكلة يا شباب؟ مافيش مشكلة، + +305 +00:22:07,180 --> 00:22:09,680 +إذا هادي عملناها، طلعوا إيش جواب هنا، Electric + +306 +00:22:09,680 --> 00:22:13,720 +potential due to pointed charges، انت قاعد بتشفط + +307 +00:22:13,720 --> 00:22:18,020 +من المجال الكهربائي عشان انه vector، جيبت قانون + +308 +00:22:18,020 --> 00:22:22,690 +أجيب مجال لpointed charge، ذاكرينه؟اللي هو E + +309 +00:22:22,690 --> 00:22:27,010 +بتساوي KQ على R تربيع ومنها جيبت له ال disk و لل + +310 +00:22:27,010 --> 00:22:31,730 +ring و لل رد بظبط ولا لأ و كانت مشكلتها ان هو ده + +311 +00:22:31,730 --> 00:22:34,370 +vector و قبل ما اتكامل انت بيه قالتلي طب انت + +312 +00:22:34,370 --> 00:22:36,390 +هجيتني مش هردني من ال electric field للجهد + +313 +00:22:36,390 --> 00:22:39,730 +الكهربائي و شبكتلي الجهد بال energy طب انا متخلصت + +314 +00:22:39,730 --> 00:22:44,090 +من ال physics يعني دي بالي شغل احلى للجهد زي ما + +315 +00:22:44,090 --> 00:22:48,510 +اجرت اجيب المجال لpointed charge علمني كيف اجيب + +316 +00:22:48,510 --> 00:22:52,160 +الجهد لpointed charge الآنمش انت حاجات بتقول هاي + +317 +00:22:52,160 --> 00:22:55,560 +عندك شحنة إذا هنا في مجال حاجات المجالة بتبقى مش + +318 +00:22:55,560 --> 00:22:58,860 +عاجبك بدك تجيب جهد طب جديش الجهد اللي قال؟ بدي + +319 +00:22:58,860 --> 00:23:02,160 +أشتغل قانون أنا وياكم أجيب الجهد ل pointed charge + +320 +00:23:02,160 --> 00:23:04,560 +ولا إيه اللي دعوه ال potential energy ولا إيه اللي + +321 +00:23:04,560 --> 00:23:08,160 +دعوه في ال work بديش ال work أصلا بيقوللي electric + +322 +00:23:08,160 --> 00:23:11,800 +potential due to pointed charges pointed charges + +323 +00:23:11,800 --> 00:23:15,460 +يقول يللا نحسب من القوانين اللي اتعلمناها عشان + +324 +00:23:15,460 --> 00:23:18,520 +أجيب قانون اشتغل عليكم جدي الصراحة العملية كتير + +325 +00:23:18,520 --> 00:23:22,210 +سهلةبقول consider an isolated point of charge، خد + +326 +00:23:22,210 --> 00:23:25,970 +يجيب point of charge وحيدة، الـQ، we want to find + +327 +00:23:25,970 --> 00:23:28,170 +the electric potential due to this charge at + +328 +00:23:28,170 --> 00:23:32,890 +point، we have، هايش أحنا شباب، هاد الـQ، الآن، + +329 +00:23:32,890 --> 00:23:36,450 +بقول حوالها في مجال، يعني حوالها في جهود، صح ولا + +330 +00:23:36,450 --> 00:23:41,900 +لا، بدي الجهود عند نقطةهو ايش القانون اللى اتعلمته + +331 +00:23:41,900 --> 00:23:48,120 +بيقول فرق الجهد بين نقطين VP-VA بيسوي سالب التكامل + +332 +00:23:48,120 --> 00:23:51,140 +initial و final final نقص initial high initial + +333 +00:23:51,140 --> 00:23:54,940 +high final E dot DL طب هي ال Q طب جيبلي نقطين + +334 +00:23:54,940 --> 00:23:58,240 +initial و final جاليها high initial و high final + +335 +00:23:58,240 --> 00:24:04,690 +بيقول عشان تشتغلها بدك تجيب E dot DLإذا ذكرين أنت + +336 +00:24:04,690 --> 00:24:08,950 +الشغل كنا نقول دي إيه الجزء من الإزاحة هجيب لو + +337 +00:24:08,950 --> 00:24:12,870 +بدأتنا نقول شحنة من A لB فيه إزاحة ولا مافيه إزاحة + +338 +00:24:12,870 --> 00:24:17,470 +طب كيف شكل الإزاحة؟ يقولوا لك مائة طريق فيه طب + +339 +00:24:17,470 --> 00:24:21,370 +هتنسوس ال conservative force الطريق بتأثر عليكم + +340 +00:24:21,370 --> 00:24:25,610 +نتيجة؟ لأ يعني لو أنا مشيت أدل صح طب لو ماشيت هيك + +341 +00:24:25,610 --> 00:24:29,270 +غلط؟إذا بدي أشتغل على طريقة عشوائية أنا الآن أي + +342 +00:24:29,270 --> 00:24:33,390 +طريقة بتاخدها طريقة عشوائية جالي هذه أخليها RA + +343 +00:24:33,390 --> 00:24:37,090 +وهذه RB هذه الطريقة اللي بدي أمشي فيها أنا عشوائية + +344 +00:24:37,090 --> 00:24:41,370 +بديش أمشي عدل عشان ما حد يقولك اختار العدل لأ أنا + +345 +00:24:41,370 --> 00:24:43,890 +بفكر بدي أمشي طبعا أي طريقة بختارها المفروض يكون + +346 +00:24:43,890 --> 00:24:47,130 +صح لأن التكامل لا يعتمد على المسار إذا كنتوا + +347 +00:24:47,130 --> 00:24:51,150 +ذاكرينه طيب أنا هجيت بدي أمشي من A ل B هذه معنات + +348 +00:24:51,150 --> 00:24:56,260 +من A ل B من Initial to Final هذه معنات التكاملطيب + +349 +00:24:56,260 --> 00:24:59,200 +أنا ماشي من ايه؟ لأ طب طول ما أنا ماشي في مجاله + +350 +00:24:59,200 --> 00:25:02,880 +ولا فيش مجاله؟ فيه لإنه كل هذه المبتقى مش حوالي ال + +351 +00:25:02,880 --> 00:25:06,360 +Q فيه هنا مجال فيه؟ فيه هنا مجال فيه؟ فيه هنا مجال + +352 +00:25:06,360 --> 00:25:10,960 +فيه؟ طيب الشي هذه جزء من الإزاحة خد جزء من هذا + +353 +00:25:10,960 --> 00:25:16,740 +الخط الملقط هاي دي إيه؟ the electric field is due + +354 +00:25:16,740 --> 00:25:20,220 +to the charge Q at a distance R يجيب إيه؟ يجيبي + +355 +00:25:20,220 --> 00:25:26,070 +عنصر عند هذه النقطة بالظبطهذه R وهذه E وهذه DL هذه + +356 +00:25:26,070 --> 00:25:31,150 +DL بس انا طولتها هي يصغير وبتكون مماثلها تمام؟ هذه + +357 +00:25:31,150 --> 00:25:35,490 +DL طب بدك E عند النقطة هذه E الآن مازال انت خد DL + +358 +00:25:35,490 --> 00:25:38,890 +بده E هنا ايه تقدر تجيبها هنا بقول له اه بتسوي + +359 +00:25:38,890 --> 00:25:44,290 +cake U على R تربية ولا لأ cake U على R تربيةهي + +360 +00:25:44,290 --> 00:25:48,070 +إيه؟ عندي العنصر اللي أخدته هو جيبت DL و بعدين + +361 +00:25:48,070 --> 00:25:50,530 +عندي DL قولت فيه إيه؟ قولتله فيه إيه؟ قولي أحسبها + +362 +00:25:50,530 --> 00:25:54,490 +قاللي يا جديش بيبعد؟ قوللي أعتبرها R قوللي ر ر إذا + +363 +00:25:54,490 --> 00:25:58,150 +KQ على R تربية جيبت إيه؟ أنا بشتغلهم جاعد الشباب + +364 +00:25:58,150 --> 00:26:00,750 +بعد كده القانون بدنا ياه و نحفظه و نتطبق عليه + +365 +00:26:00,750 --> 00:26:05,030 +قاللي حلو اشتغل؟ قاللي اشتغلت هاي إيه؟ صحيك + +366 +00:26:05,030 --> 00:26:10,930 +اتجاهها؟لأنه positive تمام؟ وقال دي ال موجودة عوض + +367 +00:26:10,930 --> 00:26:16,090 +واتعملش الشيء كي وكي ثابت طلعناه برا تكامل I unit + +368 +00:26:16,090 --> 00:26:21,350 +vector ضد دي ال هدا هي على R تربية اشتغل هالتكامل + +369 +00:26:21,350 --> 00:26:25,930 +قال جابل ما اشتغل خليني احق راسي و اودي حالي لشبتر + +370 +00:26:25,930 --> 00:26:30,070 +واحد في فيزي ألف و اقول بدي منكم التالي شباب مين + +371 +00:26:30,070 --> 00:26:35,730 +يحكيلي a vector ضد ال I ايش بتطلع + +372 +00:26:40,490 --> 00:26:45,570 +نتيجة؟ عمودة على اتنين هذك cross product حبيبي، + +373 +00:26:45,570 --> 00:26:55,570 +هذا ضد product، ايه بيسألوا المقدار؟ أي ايه؟ + +374 +00:26:59,100 --> 00:27:07,260 +بس مش a بكتبها a x i زي a y j زي a z k اعمل ضد + +375 +00:27:07,260 --> 00:27:11,260 +product i ضد ال i بدي اقتيمها مثلا i ضد ال j و i + +376 +00:27:11,260 --> 00:27:18,560 +ضد ال k اذا ايه اتضال معاك اعيدها هذه a هي a x i + +377 +00:27:18,560 --> 00:27:26,120 +زي a y j زي a z k اعملها ضد ال product مع ال i هذه + +378 +00:27:26,120 --> 00:27:33,410 +و هذه كدهو هدى و هدى اي و اي طب لو حطت dot الجيه + +379 +00:27:33,410 --> 00:27:37,730 +ايش بده يطلع هنا ايه لو حطت هنا كيه ايش بده يجيه + +380 +00:27:37,730 --> 00:27:41,390 +اذا لما اضرب اي vector ب unit vector بديني مركبة + +381 +00:27:41,390 --> 00:27:47,670 +ال unit vector ولا لا حلو ايه بده اضربها ب r unit + +382 +00:27:47,670 --> 00:27:51,510 +vector مش هال unit vector ولا ايش بده يجيه ضغط + +383 +00:27:51,510 --> 00:27:58,970 +عليك ايه r يعني انه مركبة النص قطرية صحهذه إيه هي + +384 +00:27:58,970 --> 00:28:04,630 +الـDL هذه و argument vector بدي أديه للمُركّبة + +385 +00:28:04,630 --> 00:28:09,410 +النُص قطرية للـDL الـDL شباب هذه مين شايفينها بدي + +386 +00:28:09,410 --> 00:28:13,070 +أحللها لمُركّبتين بصح اللي vector ولا مش vector هي + +387 +00:28:13,070 --> 00:28:16,810 +بدي أحللها لمُركّبتين المُركّبتين اللي لازم يكونوا + +388 +00:28:16,810 --> 00:28:21,790 +متعمدتين فهيبقاش فيه تعامل غير سينوساط نُص قطر و + +389 +00:28:21,790 --> 00:28:25,740 +مماسصح ولا لأ؟ نسقطر و مماس متعمدين ولا مش + +390 +00:28:25,740 --> 00:28:31,620 +متعمدين؟ بل هذه ال DL حللها لواحدة مماسية بالظبط و + +391 +00:28:31,620 --> 00:28:34,940 +واحدة نسقطرية بالظبط بدك تاخد رجلية الماماسية و لا + +392 +00:28:34,940 --> 00:28:38,620 +نسقطرية عشان هنا فيه أرض نسقطرية؟ بدك تاخده + +393 +00:28:38,620 --> 00:28:46,340 +نسقطرية فبالنسقطرية سميها DR سميها DR قد بعيدها + +394 +00:28:46,340 --> 00:28:55,230 +مظبطتش معاكم أرض ال DL بسوء DRليش؟ لأنه بيقوللي ال + +395 +00:28:55,230 --> 00:29:01,310 +DL هذه هجيت لو أنا قلتلكم DL بقدر أسميها DXi زي ال + +396 +00:29:01,310 --> 00:29:05,850 +Dy J ولا لأ صح ولا يا شباب إذا بتروح أحول .. يعني + +397 +00:29:05,850 --> 00:29:09,950 +أنا جيت و أسرع أنا انتقلت من هنا لإنا هذه DL + +398 +00:29:09,950 --> 00:29:13,910 +حللوها حللوها + +399 +00:29:19,130 --> 00:29:25,190 +إذا بقدر أقول DL سوى DX I زي الـDYG صحيح اللي عمل + +400 +00:29:25,190 --> 00:29:28,070 +هيك؟ طيب حقيقة أنا ماتستخدم الـ Cartesian + +401 +00:29:28,070 --> 00:29:31,670 +Coordinates بدي أستخدم الـPolar Coordinates الـR و + +402 +00:29:31,670 --> 00:29:36,730 +الفيتا طيب بقوله إيه هي أنت عندك حاجة زي هيك بدك + +403 +00:29:36,730 --> 00:29:40,950 +تحولها واحدة هيك و واحدة هيك حاجة واحدة هتكون مماس + +404 +00:29:40,950 --> 00:29:46,950 +و التانية نصف قطرة هذه المماس دي الـFETA و هذه + +405 +00:29:46,950 --> 00:29:53,570 +الـRهذه DLR أنا كتبت هنا DLX ولا DX على طموح DX + +406 +00:29:53,570 --> 00:30:00,390 +هذه خليها DR DR إيش التغير في نص القطر هي معناتها + +407 +00:30:00,390 --> 00:30:05,230 +زي DX التغير في المحور الصيني فهذه DR شباب جالي زي + +408 +00:30:05,230 --> 00:30:11,190 +هيك انحل جوابك صارت DR على R تربيع تعرفي تكلم + +409 +00:30:11,190 --> 00:30:15,130 +الـDR على R تربيع ولا تعرفوش DX على X يناقص واحد + +410 +00:30:15,130 --> 00:30:21,180 +على X ولا لا إذا هذه صارت هيكتكامل DR على R تردية + +411 +00:30:21,180 --> 00:30:26,860 +بيسوي ناقص مع النقص اللي هان راحة واحدة على R من + +412 +00:30:26,860 --> 00:30:33,620 +RA ل RB من A ل B من RA ل RB بتسوي KQ على RB نقص KQ + +413 +00:30:33,620 --> 00:30:37,720 +على RA هذه جيبت أنا الآن فرق جهد بين النقطين طب + +414 +00:30:37,720 --> 00:30:40,160 +انا مابديش بين النقطين مابدي عن نقطة جيلي النقطة A + +415 +00:30:40,160 --> 00:30:44,080 +وقالليها لان مانا نهاية مش هيك من عمال النقطة A + +416 +00:30:44,080 --> 00:30:51,700 +هذه صارت مانا نهاية مابديش الجوابزي هي طلع عندها + +417 +00:30:51,700 --> 00:30:55,880 +قانون حلو بيقول the first term of the right hand + +418 +00:30:55,880 --> 00:31:00,300 +side represent the potential at point b and the + +419 +00:31:00,300 --> 00:31:03,180 +second term represent the potential at point va + +420 +00:31:03,180 --> 00:31:07,220 +the electric potential at a point a distance r + +421 +00:31:07,220 --> 00:31:10,780 +from a point in charge q is then obtained if ra + +422 +00:31:10,780 --> 00:31:15,430 +رحت للمل نهايةthat is هذا القانون يعني اللي بدي + +423 +00:31:15,430 --> 00:31:18,030 +اهو و هذا اللي بده اعفزه يقول و انا ماعرفش اللي + +424 +00:31:18,030 --> 00:31:23,670 +بيفرج عن ال ايه هذا KQ على R تربية هذا KQ على A طب + +425 +00:31:23,670 --> 00:31:26,430 +هذا القانون احلى او انا ماعرفش اللي بيه R تربية و + +426 +00:31:26,430 --> 00:31:31,870 +بعدين احلى بكتير ان هذا scalar فيها بدي احلل؟ بديش + +427 +00:31:31,870 --> 00:31:35,740 +احلل بقدر احط absolute value لها؟لأ لأنه انت جيه + +428 +00:31:35,740 --> 00:31:40,500 +magnitude تتعاملش مع vector إذا هذه Q كلها بدمها + +429 +00:31:40,500 --> 00:31:44,220 +بلحمها بشحمها دالها هذا القانون بيجيه بالجهود هاي + +430 +00:31:44,220 --> 00:31:47,940 +بتحفظها مش بيه قانون ايه بتساوي KQ علاء التنبيع + +431 +00:31:47,940 --> 00:31:52,240 +ولا لأ إذا عملية سهلة طيب بقول ها دي جيبت هلا شحنة + +432 +00:31:52,240 --> 00:31:57,340 +كده لو عندي شحنتين بقول V1 و V2 وبعدين أجمع بس هنا + +433 +00:31:57,340 --> 00:32:02,990 +في عندك ميزة بيجمع جميع scalars تمام؟as it is + +434 +00:32:02,990 --> 00:32:05,870 +clear from the above equation V is positive for + +435 +00:32:05,870 --> 00:32:08,710 +positive Q and negative for negative Q يعني بيقول + +436 +00:32:08,710 --> 00:32:12,250 +الـ Q ها دي خدها بدمها و بلحمها إذا كت positive + +437 +00:32:12,250 --> 00:32:14,830 +خدها positive negative خدها negative إذا positive + +438 +00:32:14,830 --> 00:32:17,970 +بتكون جهدها موجب و إذا negative بتكون جهدها سائق + +439 +00:32:17,970 --> 00:32:21,890 +ماهيكش عزب النتيجة اللي بتطلع معاك انا القرون + +440 +00:32:21,890 --> 00:32:25,400 +الحلو اللي طلعتهالـ electric potential due to a + +441 +00:32:25,400 --> 00:32:33,580 +group of pointed charges الجبري + +442 +00:32:33,580 --> 00:32:39,800 +يعني خمسة ونقص تلاتة ونقص اتنين وواحد وزفر اجمع + +443 +00:32:39,800 --> 00:32:45,060 +الجبري الجبري الجبري الجبري + +444 +00:32:45,060 --> 00:32:48,380 +يعني خمسة ونقص تلاتة ونقص اتنين وواحد وزفر اجمع + +445 +00:32:48,380 --> 00:32:48,380 +الجبري الجبري الجبري الجبري الجبري الجبري الجبري + +446 +00:32:48,380 --> 00:32:48,380 +الجبري الجبري الجبري الجبري الجبري الجبري الجبري + +447 +00:32:48,380 --> 00:32:48,380 +الجبري الجبري الجبري الجبري الجبري الجبري الجبري + +448 +00:32:48,380 --> 00:32:48,380 +الجبري الجبري الجبري الجبري الجبري الجبري الجبري + +449 +00:32:48,380 --> 00:32:51,620 +الجبري الجبري الجبري الجببعمل summation عادي طبعا + +450 +00:32:51,620 --> 00:32:57,280 +ال summation بنجلة بتتكامل برضه بسهولة سفر إذا + +451 +00:32:57,280 --> 00:33:02,440 +تسوى سفر طب + +452 +00:33:02,440 --> 00:33:06,920 +و لمّا هو المقدار ممنوع يكون سالب تهاجد على خالتك + +453 +00:33:06,920 --> 00:33:12,020 +منها خليني أقول الكتلة بقاش أقول الكتلة ال energy + +454 +00:33:14,000 --> 00:33:18,240 +حلو عمرك شوفت energy سلبة اجمع energy ناقص خمسة + +455 +00:33:18,240 --> 00:33:22,420 +جول و خمسة جول باهي + +456 +00:33:22,420 --> 00:33:27,320 +المسكينة انت بتتعامل بتجمع جمع جبري الموضوع هو + +457 +00:33:27,320 --> 00:33:33,720 +الخمسة و ناقص خمسة من جمع جبري طبعا + +458 +00:33:33,720 --> 00:33:39,480 +هذه شغلة سهلة بقول don't forget that the sum is + +459 +00:33:39,480 --> 00:33:44,760 +algebraic sum and not vector sumمثل ذلك كان يستخدم + +460 +00:33:44,760 --> 00:33:47,820 +للتركيز على المنطقة الإلكترونية بسبب مجموعة من + +461 +00:33:47,820 --> 00:33:51,940 +اتجارات موجودة في المنطقةthis fact gives an + +462 +00:33:51,940 --> 00:33:55,900 +important advantage of potential of an electric + +463 +00:33:55,900 --> 00:33:59,440 +field عشان كده ال electric potential انشهر اكتر من + +464 +00:33:59,440 --> 00:34:02,640 +المجال الكهربائي هو اللي صار مشهور و هم اللي + +465 +00:34:02,640 --> 00:34:06,240 +بتعاملوا معه كل عمال و الكهربائية اللي في الدنيا + +466 +00:34:06,240 --> 00:34:08,960 +بتعاملوا معه جهود بتعاملوش معه مجال عمروكاش واحد + +467 +00:34:08,960 --> 00:34:12,740 +جالك المجال هنا عالي و المجال هنا واطي بيقولك + +468 +00:34:12,740 --> 00:34:15,020 +الجهود هنا عالي و الجهود هنا واطي كل العمال اللي + +469 +00:34:15,020 --> 00:34:17,460 +بتعرفين عليها جديش جهد اللي في ال breeze هنا شباب + +470 +00:34:18,380 --> 00:34:21,660 +ماكانوا عشان vote عمرك حد قال لك اديش المجال عمرك + +471 +00:34:21,660 --> 00:34:28,300 +سمعت ولا حد بده المجال تمام اذا المجال بطل في قيمة + +472 +00:34:28,300 --> 00:34:29,600 +له تمام + +473 +00:34:32,740 --> 00:34:36,060 +بنشوف مثلًا شباب بيقول لي two pointed charges شوف + +474 +00:34:36,060 --> 00:34:38,520 +الـ Q في اللي انا مثلًا بصير ما أسهلها two pointed + +475 +00:34:38,520 --> 00:34:43,720 +charges of Q1 equal two micro coulombs and Q2 + +476 +00:34:43,720 --> 00:34:47,840 +equal minus six micro coulombs are arranged as + +477 +00:34:47,840 --> 00:34:52,240 +shown find هاي الشحنات كام شحنة فيه؟ تنتين واحدة + +478 +00:34:52,240 --> 00:34:54,920 +حمرا واحدة زرقا يعني واحدة موجة بواحدة زالي بقى + +479 +00:34:55,130 --> 00:34:58,950 +الموجبة Q1 equal 2 microcoulomb و Q2 equal minus 6 + +480 +00:34:58,950 --> 00:35:01,790 +microcoulomb الابعاد تبعتي او point four meter و + +481 +00:35:01,790 --> 00:35:04,770 +three meter و four meter و three meter وبالتالي في + +482 +00:35:04,770 --> 00:35:08,210 +فغورس بيطلع لضلع التالت five meter ايش بدهوا؟ the + +483 +00:35:08,210 --> 00:35:10,470 +electric potential at point P بدهوا الجهاز عنده + +484 +00:35:10,470 --> 00:35:10,910 +نقطة P + +485 +00:35:15,160 --> 00:35:18,820 +the change in potential energy of the system plus + +486 +00:35:18,820 --> 00:35:22,360 +a charge Q3 that moves from point infinity to + +487 +00:35:22,360 --> 00:35:26,960 +point P بيقول لو كان في عندك شحنة تالتة وين موجودة + +488 +00:35:26,960 --> 00:35:29,420 +في الأول؟ في المنارة النهائية اهل ال gate موجودة + +489 +00:35:29,420 --> 00:35:30,440 +في المنارة النهائية اهل ال gate بالمنارة النهائية + +490 +00:35:30,440 --> 00:35:35,560 +تحطها عند النقطة B قدش اتغيرات ال energyتمام؟ نشوف + +491 +00:35:35,560 --> 00:35:39,060 +المكتوب الأول solution ماقلّه فيش أسهل منها الجهود + +492 +00:35:39,060 --> 00:35:45,600 +الجهود سهل جدا بتقول V بتسوي V واحد زاد V اتنين V + +493 +00:35:45,600 --> 00:35:49,720 +واحد cake U واحد على R واحد زاد cake U اتنين على R + +494 +00:35:49,720 --> 00:35:55,800 +اتنين بس سهل جدا لها عامة direction ولا تطلع على + +495 +00:35:55,800 --> 00:35:59,760 +ال direction ولا بدك تحلل ولا بدك تغلب حالك شوفوا + +496 +00:35:59,760 --> 00:36:06,460 +صممعامية ككو1 على 1 زي ككو2 على 2 تظهر عندك ان كو1 + +497 +00:36:06,460 --> 00:36:08,780 +مش absolute values الموجة بتحط الموجة مش سالب + +498 +00:36:08,780 --> 00:36:16,000 +بتحطه سالب او نقول كما نسيناهاش 9 10 تنورناها okay + +499 +00:36:16,000 --> 00:36:21,500 +كو1 two macro column positive اذا باروان المسافة + +500 +00:36:21,500 --> 00:36:25,660 +بين بي و كو1 اربعة متر صح ولا لأ من وين جات ال + +501 +00:36:25,660 --> 00:36:32,090 +minus هذه؟من الـ 6 minus 6 طبعاً حولتي الماكرو + +502 +00:36:32,090 --> 00:36:34,990 +كلهم بس طلعتها برا 10 to the power of minus 6 قديش + +503 +00:36:34,990 --> 00:36:39,830 +المسافة بين النقطة Q2 و النقطة P 500 أكتر أوطة طلع + +504 +00:36:39,830 --> 00:36:42,990 +ال .. ما يعني انا اسمه minus 6.29 10 to the power + +505 +00:36:42,990 --> 00:36:46,870 +of 3 volt طلع الجواب صائب عشان كده نادى لما + +506 +00:36:46,870 --> 00:36:48,930 +نقولكوا ماوجدوا الجهد في المتحنات لأن هى بتاعة + +507 +00:36:48,930 --> 00:36:52,490 +ولادي صغارخلصنا منها ماشي عملتوها في المجارس + +508 +00:36:52,490 --> 00:36:56,730 +وزوجتوا منها تمام؟ يعني الناس على المجال الكهربائي + +509 +00:36:56,730 --> 00:36:59,410 +بنقول يلا هتشوفهم بيعرفوا يفرجوا ما بين جامعة + +510 +00:36:59,410 --> 00:37:01,670 +vectors و جامعة scholars ولا .. ولا هي لأ بنقول + +511 +00:37:01,670 --> 00:37:03,730 +احنا لو بنجيب سؤال زي هذا .. بنقول احنا بنعلم + +512 +00:37:03,730 --> 00:37:06,510 +أولاد في الروضة نعلمهم كيف يجمعوا و كيف يطرحوا .. + +513 +00:37:06,510 --> 00:37:11,110 +تعابب عليهم والله يعني .. يكونوا عارفين حاجتنا .. + +514 +00:37:11,110 --> 00:37:14,210 +مضمونش نعلمهم حاجتكم يعني .. نجيب سؤال زي هذا .. + +515 +00:37:14,210 --> 00:37:20,280 +جامعة .. اللي احنا بنرضهاش .. احنا بنرضهاش ..بنشوف + +516 +00:37:20,280 --> 00:37:22,580 +المقبض التاني بيقولي the change in potential + +517 +00:37:22,580 --> 00:37:26,100 +energy PE عن potential energy is equal to the work + +518 +00:37:26,100 --> 00:37:30,500 +required بيقولي أنت بدك Delta U يعني Delta U ثم + +519 +00:37:30,500 --> 00:37:35,160 +Delta U هي مش سوى الشغل صح ولا لأ is equal to the + +520 +00:37:35,160 --> 00:37:38,380 +work required by an external agent to bring Q3 + +521 +00:37:38,380 --> 00:37:42,440 +from infinity to point B بيقولي أنت بدك تحرك Q3 من + +522 +00:37:42,440 --> 00:37:49,560 +النهاية للنقطة B طب إيش هسوي؟ أنت ولدالجهد عنده + +523 +00:37:49,560 --> 00:37:53,860 +النقطة B ايش عرفته؟ قولت هو الشغل اللازم عشان أنقل + +524 +00:37:53,860 --> 00:37:58,180 +وحدة الشحنات الموجبة من المال نهاية لتلك النقطة + +525 +00:37:58,180 --> 00:38:03,400 +ساكرين؟ الجهد عند نقطة B هو الشغل اللازم عشان أنقل + +526 +00:38:03,400 --> 00:38:06,920 +وحدة الشحنات الموجبة من المال نهاية لتلك النقطة + +527 +00:38:06,920 --> 00:38:14,270 +سؤال الآن الجهد عنده النقطة B طلعته انا وياكمهذا + +528 +00:38:14,270 --> 00:38:17,050 +.. انسوا هذا الرقم اعتبروه خمسة volts .. هذا + +529 +00:38:17,050 --> 00:38:21,610 +اعتبره خمسة volts بقولك احسب الشغل اللازم عشان + +530 +00:38:21,610 --> 00:38:24,910 +انقل شحنة موجة بقى .. من المال .. شحنة موجة بقى + +531 +00:38:24,910 --> 00:38:28,270 +مقدارها واحد .. من المال نهاية للنقطة B .. كداش + +532 +00:38:28,270 --> 00:38:31,990 +الشغل؟ خمسة volts .. خمسة volts .. خمس يول بس + +533 +00:38:31,990 --> 00:38:38,920 +بيصير .. خمس يول .. لأنه الشغل بيساوي جهودعشان + +534 +00:38:38,920 --> 00:38:43,540 +أنجل شحنة مقدارها واحد ببذل خمس جهود، طب لو بدي + +535 +00:38:43,540 --> 00:38:48,180 +أنجل شحنة مقدارها اتنين، ايه كم؟ عشرة، طب لو بدي + +536 +00:38:48,180 --> 00:38:52,180 +أسوأ تلاتة، خمس عاشر، اذا اذا عرفت انا الجهود + +537 +00:38:52,180 --> 00:38:55,780 +والشحنة المنقولة بيسويش واحد، اذا الشغل بيسوي + +538 +00:38:55,780 --> 00:38:59,180 +الشحنة المنقولة في الجهود وخلاص، صح ولا لأ؟ انت + +539 +00:38:59,180 --> 00:39:03,340 +انتهت القضية، بيقولي that change، اذا delta U + +540 +00:39:03,340 --> 00:39:06,600 +بيسوي الشغل بيسوي Q تلاتة في النقطةالـ Q ثلاثة، لو + +541 +00:39:06,600 --> 00:39:08,860 +هي الـ Q ثلاثة هي نفسها، ولا لا؟ لو الـ Q ثلاثة + +542 +00:39:08,860 --> 00:39:14,280 +بيساوي واحد، هذه التعريف الشغل بيساوي الجهد، تمام؟ + +543 +00:39:14,280 --> 00:39:17,800 +الشغل بيساوي الجهد، لكن لو إنها .. إذا .. إذا وقتش + +544 +00:39:17,800 --> 00:39:20,380 +.. الشغل بيساوي الشغل .. الجهد، إذا كانت الـ Q + +545 +00:39:20,380 --> 00:39:24,340 +بيساوي واحد، بيساويش واحد، ضربها، بيقول إنه بيساوي + +546 +00:39:24,340 --> 00:39:27,280 +اللي بدك تنقلها مقدرها تلاتة في عشر أو سلب ستة + +547 +00:39:27,280 --> 00:39:34,360 +الشغل .. الجهد أنت جبته، طلعت الجواب، تم؟ خلاص؟ + +548 +00:39:34,360 --> 00:39:38,640 +بس، خلاصطبعاً في حالة تانية لها ايش الحالة التانية + +549 +00:39:38,640 --> 00:39:48,180 +الصعبة او قوية مش صعبة يعنى هو بيحكيلي شباب بيقولي + +550 +00:39:48,180 --> 00:39:51,280 +the charge that change in potential energy of the + +551 +00:39:51,280 --> 00:39:54,960 +system plus a charge Q تلاتة that moves from + +552 +00:39:54,960 --> 00:39:58,560 +infinity to point Bبقول لان ان انت عندك هاد ال Q + +553 +00:39:58,560 --> 00:40:02,000 +تلاتة برا جيب ال potential energy و حط ال Q تلاتة + +554 +00:40:02,000 --> 00:40:04,520 +و جيب ال potential energy و طرحهم من بعض بتطلع نفس + +555 +00:40:04,520 --> 00:40:06,940 +الجواب طبعا كيف اجيب ال potential energy قصة هذه + +556 +00:40:06,940 --> 00:40:10,680 +لسه اما اسهل حاجة اذا ما زال بده ل change ال + +557 +00:40:10,680 --> 00:40:12,920 +potential energy المرات بيقولك find the word + +558 +00:40:12,920 --> 00:40:16,480 +عالطول بديكيها مباشرةfind the work required to + +559 +00:40:16,480 --> 00:40:18,940 +move at schedule from point to point from infinity + +560 +00:40:18,940 --> 00:40:22,520 +to point or from point to point حسب التعريف بس فرق + +561 +00:40:22,520 --> 00:40:26,120 +الجهود في شحن الموقولة فرق الجهود في شحن الموقولة + +562 +00:40:26,120 --> 00:40:29,020 +اذا جهود واحد معناته النقطة اللي بتكون في المدى + +563 +00:40:29,020 --> 00:40:34,900 +نهاية انا بس انك تسأل السؤال هذا ليه طلعت طموجة + +564 +00:40:34,900 --> 00:40:40,920 +يعني انت جازدك هنا و اين راح السارق؟ + +565 +00:40:44,040 --> 00:40:47,740 +و اين راح السالب؟ + +566 +00:40:47,740 --> 00:40:51,360 +مش جال تيو بس هو سالب و هو لسه على كتابته القانون + +567 +00:40:51,360 --> 00:40:54,780 +طب و اين راح السالب؟ ليش انت بتضحك علينا؟ مرة بتحط + +568 +00:40:54,780 --> 00:40:58,400 +موجة و مرة بتحط سالب طلع عليها المدفوكش مكتوب كلمة + +569 +00:40:58,400 --> 00:41:02,020 +an external agent هلجيت طلع عليها نرجع لما انا + +570 +00:41:02,020 --> 00:41:06,340 +شرحت زمان انا ناجي الهادي من هال لهال شغلي موجة + +571 +00:41:06,340 --> 00:41:12,760 +ولا سالب؟ شغلي جاذبية؟شغل الجاذبية بيساوي سالب + +572 +00:41:12,760 --> 00:41:18,600 +Delta U ده ايه شغلي؟ بيساوي Delta U فهذا مش شغل + +573 +00:41:18,600 --> 00:41:22,580 +القوة الكهربية شغلي انا external agent فبنروح + +574 +00:41:22,580 --> 00:41:25,980 +السالب عشان كده the work required لما يقولك + +575 +00:41:25,980 --> 00:41:29,460 +required يعني بواسط قوة خارجية مش شغل ال + +576 +00:41:29,460 --> 00:41:34,060 +conservative force انا لما اقول شباب انه Delta U + +577 +00:41:35,120 --> 00:41:39,860 +بساوة سالب و هجي ل conservative force هجي شغل + +578 +00:41:39,860 --> 00:41:44,040 +القوة الكهربية لكن لما يكون شغلي انا بروح السالب + +579 +00:41:44,040 --> 00:41:48,620 +لأن شغلي انا عكس شغل القوة الجاذبية سهولة زي ما + +580 +00:41:48,620 --> 00:41:51,800 +انا هجي جاذبيا لقوة الكهربية و كان في سؤال فيزيائي + +581 +00:41:51,800 --> 00:41:56,120 +فهيك ان كيف اجيب الشغل لقوة خارجية و قلنا لكم ايام + +582 +00:41:56,120 --> 00:42:02,730 +السالب روح في هذه الحالة تمام شباببنش ننسى ال quiz + +583 +00:42:02,730 --> 00:42:06,030 +الشباب بيخلصوا يومه لجمعة المرة هذه ما تقولوليش + +584 +00:42:06,030 --> 00:42:10,530 +كهربا و مش كهربا مش همدده بالمرة هاي معاكم من + +585 +00:42:10,530 --> 00:42:13,390 +اليوم الكهربا من هال لجمعة ان شاء الله بتيجي عدة + +586 +00:42:13,390 --> 00:42:17,090 +مرات تمام؟ بتتأقلموا حالكم زي ما انكم بتتأقلم + +587 +00:42:17,090 --> 00:42:20,930 +حالكم و بتخسن على غسلة automatic بالكهربا و بتظبط + +588 +00:42:20,930 --> 00:42:23,690 +حالكم و بتظبط حالكم و تدلوا بتكونوا ولا بتكونوا + +589 +00:42:23,690 --> 00:42:28,150 +الشباب؟بتكون ولا بتكونش كيف بتعقلبوا حياتكم انه + +590 +00:42:28,150 --> 00:42:30,890 +يوم الكهربا بتكون وانت ممكن تعقلبوا حياتكم يوم + +591 +00:42:30,890 --> 00:42:34,570 +الكهربا ممكن تعمل quiz ماتقولوش الكهربا جتاعة تمام + +592 +00:42:34,570 --> 00:42:35,230 +يعطيكوا العافية + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/MawTEu1LL_k.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/MawTEu1LL_k.srt new file mode 100644 index 0000000000000000000000000000000000000000..d0ed4390d4f01cedc24788385fbb28d591c7be7d --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/MawTEu1LL_k.srt @@ -0,0 +1,3225 @@ +1 +00:00:10,400 --> 00:00:16,040 +بسم الله الرحمن الرحيم نستأنف آخر حاجة شرحناها هي + +2 +00:00:16,040 --> 00:00:20,880 +الـ force بين سلكين متوازيين نعيده بسرعة + +3 +00:00:20,880 --> 00:00:26,150 +عشان نجيب الـ force بين أي سلكين أول حاجة + +4 +00:00:26,150 --> 00:00:29,430 +لازم نجيبها هي شدة المجال المغناطيسي اللي جاية من + +5 +00:00:29,430 --> 00:00:34,430 +واحد على الثاني ثم نطبق قانون F بيساوي I L ضرب اتجاهي الـ + +6 +00:00:34,430 --> 00:00:39,750 +B على اعتبار أن الـ B is constant فلأجلنا أن القوة + +7 +00:00:39,750 --> 00:00:46,290 +اللي على I واحد بنجيبها إذا كان I1 موجود في مجال + +8 +00:00:46,290 --> 00:00:51,690 +مغناطيسي طبعًا كون I1 موجود بالقرب من I2 فبالتالي + +9 +00:00:51,690 --> 00:00:56,870 +I2 بيولد مجال مغناطيسي يؤثر على I1 وبالتالي I1 بيصير + +10 +00:00:56,870 --> 00:01:03,060 +متأثر بقوة I2 المجال المغناطيسي تبع I2 for long + +11 +00:01:03,060 --> 00:01:06,060 +wires اللي جبناه من الفيروس السابق جبناه من هذه + +12 +00:01:06,060 --> 00:01:11,500 +الصيغة وبعد كده جبنا أن هذه اتجاه B out of the + +13 +00:01:11,500 --> 00:01:17,320 +bridge وبعدين طبقنا القانون F بسرعة I L ضرب اتجاهي الـ B + +14 +00:01:17,320 --> 00:01:22,600 +اللي بدنا نؤكد عليه أن هذا القانون شبه for straight + +15 +00:01:22,600 --> 00:01:26,840 +wires وشرطه أن بيكون uniform القانون العام اللي + +16 +00:01:26,840 --> 00:01:34,700 +بينفع لجميع الحالات أن F بيساوي I تكامل D L ضرب اتجاهي B + +17 +00:01:34,700 --> 00:01:41,710 +هذا القانون الأصلي العام consensus تظهر مرة التكامل + +18 +00:01:41,710 --> 00:01:45,710 +إذا دي ال مش مستقيم تكاملها اللي احنا متفقين فبيصير + +19 +00:01:45,710 --> 00:01:49,190 +هذا القانون إذا دي ال consensus والـ مش مستقيم + +20 +00:01:49,190 --> 00:01:52,610 +فتكامل الـ D L اللي شرطة إذا كنتوا ذاكرينها والـ شرطة + +21 +00:01:52,610 --> 00:01:55,310 +هي المسافة من بداية الـ segment لنهاية الـ segment لكن + +22 +00:01:55,310 --> 00:02:00,700 +هذا هو القانون العام اللي بنطبقه دائمًا هم منها جبنا + +23 +00:02:00,700 --> 00:02:06,020 +القانون ولجينا إنه لما يقول الـ two wires have + +24 +00:02:06,020 --> 00:02:09,220 +currents in the same direction they attract each + +25 +00:02:09,220 --> 00:02:16,040 +other and vice versa تمام في المثال إن احنا حلنا + +26 +00:02:16,040 --> 00:02:21,860 +اللي هو هذا وكان مطلوب منه إيجاد القوة المغناطيسية + +27 +00:02:21,860 --> 00:02:25,480 +على الدرع الفجاني طبعًا لو واحد ما قلتلي اختار + +28 +00:02:25,480 --> 00:02:28,720 +الدرع الفجاني هو يقول إن أنت عملت الدرع الفجاني + +29 +00:02:28,720 --> 00:02:32,580 +أنت تحتاني عملتهليش ما اختارش الدلالة الحدي؟ عشان + +30 +00:02:32,580 --> 00:02:36,000 +هنا فيه trick لإن لو اختار الدلالة الحدي بيثبت عليه + +31 +00:02:36,000 --> 00:02:40,740 +لو اختار الدلالة الحدي بيثبت عليه لكن هنا بيه مش + +32 +00:02:40,740 --> 00:02:44,880 +ثابتة وبالتالي لابد إنك أنت تستخدم هذا القانون + +33 +00:02:44,880 --> 00:02:49,960 +وعشان تستخدم هذا القانون دي إلا هي جزء من العنصر + +34 +00:02:49,960 --> 00:02:54,300 +بيصير أنت مجبر تاخد جزء من العنصر فبيقول لك the wire + +35 +00:02:54,300 --> 00:03:00,300 +I1 creates a magnetic field given by IB اتجاهها + +36 +00:03:00,300 --> 00:03:04,180 +into the page عرفنا الاتجاه بقاعدة اليد اليمنى + +37 +00:03:04,180 --> 00:03:08,190 +إنها into the page زي ما أنتم شايفين بيه واحد ميو + +38 +00:03:08,190 --> 00:03:13,350 +نوت اي على اتنين باي اكس او ار او دي هذه اكس و + +39 +00:03:13,350 --> 00:03:18,090 +الدرع هنا وأنا ماشي بتتغير إذا بي is not constant + +40 +00:03:18,090 --> 00:03:23,670 +بي is not constant along the side along the upper + +41 +00:03:23,670 --> 00:03:26,270 +side ما زال عامل ثابت أبقى مقدرش يطلع حد برة + +42 +00:03:26,270 --> 00:03:30,430 +التكامل بالتالي خلي التكامل زي ما هو عشان تحله + +43 +00:03:30,430 --> 00:03:33,310 +بقول لك إذا معناته DL بدك تجيبها إيش يا DL بيجوز من + +44 +00:03:33,310 --> 00:03:36,560 +السلك لجزء من السلك جزء من الدرع الفجاني لأن أنا + +45 +00:03:36,560 --> 00:03:40,200 +بتعامل مع درع فجاني فكان لابد من أني أجيب درع اللي + +46 +00:03:40,200 --> 00:03:43,120 +هو زي ما أنتم شايفينه اتجاه التيار لما اتجاه + +47 +00:03:43,120 --> 00:03:47,040 +التيار ماشي فيها clockwise هو I2 زي ما أنتم + +48 +00:03:47,040 --> 00:03:52,620 +شايفين ثم ساعتها بقول هنا المسافة هذه هي X في هذه + +49 +00:03:52,620 --> 00:03:57,800 +الحالة فسبرة DF بسوء I2 طبعًا DF عشان أقول التكامل + +50 +00:03:57,800 --> 00:04:02,720 +بعدين بكمل DX ضرب اتجاهي P1 P1 هيها جبتها وبعد كده + +51 +00:04:02,720 --> 00:04:07,150 +كملت اتفقنا التكامل بيكون من بداية السلك لنهاية + +52 +00:04:07,150 --> 00:04:10,970 +السلك من بداية السلك لنهاية السلك بيكون هذه هي جميع + +53 +00:04:10,970 --> 00:04:15,470 +العناصر المكونة للسلك المعني وفي هذه الحالة من + +54 +00:04:15,470 --> 00:04:19,770 +بداية السلك X بتكون A لنهاية السلك بتكون X A plus + +55 +00:04:19,770 --> 00:04:26,210 +B فبالتالي من A لـ A زائد B هذه هي حدود التكامل من + +56 +00:04:26,210 --> 00:04:30,230 +بداية السلك لنهاية السلك لأن أنا بدي قوة على كل الـ + +57 +00:04:30,230 --> 00:04:34,250 +other side على كل الضلع الفجاني تبع الـ wire تبع الـ + +58 +00:04:34,250 --> 00:04:40,810 +loop طبعًا هذه المعروفة تكملها بتطلع بهذا الشكل طبعًا + +59 +00:04:40,810 --> 00:04:49,030 +هذه آخر حاجة عملناها الآن يا شباب ampers law اتفقنا + +60 +00:04:49,030 --> 00:04:56,290 +بنأخذ قانون جاوس بيوتس قانون كولوم بدي + +61 +00:04:56,290 --> 00:04:59,010 +أناقش قانون جاوس بس قانون جاوس كان يقول + +62 +00:04:59,010 --> 00:05:08,490 +التكامل المغلق لـ E ضرب اتجاهي D A بيساوي Q in على Epsilon + +63 +00:05:08,490 --> 00:05:09,730 +ذاكرينه + +64 +00:05:11,780 --> 00:05:17,220 +الشيء هذه مساحة سطح جاوس، مظبوط ولا لأ؟ هذه شدة + +65 +00:05:17,220 --> 00:05:21,720 +المجال الكهربائي، هذه الـQN شيء، الشحنات اللي + +66 +00:05:21,720 --> 00:05:27,020 +داخل سطح جاوس، تمام؟ طبعًا التيار ليس زي الشحنات، + +67 +00:05:27,020 --> 00:05:31,180 +الشحنات تنحصر جوة وبره، التيار بيمشي، بيخطي + +68 +00:05:31,180 --> 00:05:36,800 +مساحات، بيكونش جوة مساحة، لأنه بيبقى ماشي أمبيرز + +69 +00:05:36,800 --> 00:05:43,320 +إيش لجأ قال التكامل المغلق لـ بني الإي بيحط بيه بس + +70 +00:05:43,320 --> 00:05:48,300 +لجأ إنه مش دي اي فيه loops مغلقة فخلينا بس نكتبه + +71 +00:05:48,300 --> 00:05:52,900 +بيقولي أنبيرز لو states that إيش بنصه بيقولي the + +72 +00:05:52,900 --> 00:05:58,360 +line integral حد يا شباب بيسموه surface integral تكامل + +73 +00:05:58,360 --> 00:06:02,440 +على سطح الآن بدي أكمل على خط على line الـ line + +74 +00:06:02,440 --> 00:06:09,580 +integral of B ضرب اتجاهي D L بدل E حق B وبدل D E حق D L + +75 +00:06:09,580 --> 00:06:16,100 +دي ذوق من طول مش من مساحة around any closed path + +76 +00:06:16,100 --> 00:06:20,080 +هذه around any closed surface هذه closed path + +77 +00:06:20,080 --> 00:06:24,000 +مسار مغلق يعني المسار المغلق يا شباب طوله إيش بيكون + +78 +00:06:24,000 --> 00:06:34,980 +المسار المغلق إيش طوله محيط تمام محيط equals mu not + +79 +00:06:34,980 --> 00:06:41,720 +على I احنا متفقين إنه لما K تبعت كل يوم و K تبعت + +80 +00:06:41,720 --> 00:06:46,000 +بيه هذي بيساوي واحد على أربعة باي Epsilon not مظبوط + +81 +00:06:46,000 --> 00:06:53,080 +لـ اللي هي K وهذي بيساوي mu not على أربعة باي + +82 +00:06:53,080 --> 00:06:57,770 +شوف هنا epsilon not في المقام هذي وين صارت في + +83 +00:06:57,770 --> 00:07:00,790 +الـ Best في بين هذه وبين هذه علاقة دلوقتي عكسية + +84 +00:07:00,790 --> 00:07:05,890 +هنا إبسلون نوت كان في المقام هنا هتكون في الـ Best + +85 +00:07:05,890 --> 00:07:10,590 +بدا تناكس فالقانون تبقى أمبير لو رأيت بدي أحطه + +86 +00:07:10,590 --> 00:07:15,370 +رياضياً هذا هو هذا قانون أمبير نشوف إيش بيشبه جاوز + +87 +00:07:15,370 --> 00:07:20,990 +بدل E حط B حاجة الفرق الواضح بين جاوز وأمبير إن + +88 +00:07:20,990 --> 00:07:25,870 +جاوز تكاملك على سطح مغلق هنا تكاملك على مسار مغلق + +89 +00:07:26,580 --> 00:07:31,660 +على مسار مغلق بيساوي بدي الـ Y نوت حط الـ U نوت بس + +90 +00:07:31,660 --> 00:07:34,400 +الـ Y نوت كانت في المقام ده كانت في الـ Bus بدي + +91 +00:07:34,400 --> 00:07:39,300 +الـQ in حط I in أو I enclosed هذه enclosed يعني + +92 +00:07:39,300 --> 00:07:44,560 +لجوه هي هي وهذه أهو الـQ in لجوه بس قل لي التيار + +93 +00:07:44,560 --> 00:07:48,540 +مقعدش مفيش تقول تيار جوه تيار برة هإيش بقول أنت الـ + +94 +00:07:48,540 --> 00:07:51,560 +loop أي loop بتعملها أي loop خلينا نقول loop + +95 +00:07:51,560 --> 00:07:57,270 +دائرية مش بتعمل بتحوط مساحة أي لوب بتحوط مساحة بجول + +96 +00:07:57,270 --> 00:08:00,050 +التيار إذا اخترق هذه المساحة بالـ D هو الـ I + +97 +00:08:00,050 --> 00:08:03,550 +enclosed إذا الـ I enclosed هو التيار المخترق + +98 +00:08:03,550 --> 00:08:08,850 +للمساحة اللي يتحددها اللوب المغلق أهو تمام الـ circle + +99 +00:08:08,850 --> 00:08:11,030 +and the integral هذه شرط الـ circle اللي حطيناها + +100 +00:08:11,030 --> 00:08:15,610 +يعني إيش بتعني؟ إغلاق وهنا نفس العملية فيه circle + +101 +00:08:15,610 --> 00:08:18,570 +هنا سطح مغلق هنا Loop مغلقة + +102 +00:08:42,800 --> 00:08:46,980 +Gauss's law بيقولنا بدي اختار سطح Gauss واتفقنا كم + +103 +00:08:46,980 --> 00:08:52,860 +سطح Gauss عندنا أشكالهم جاوس اتنين الأشكال اللي + +104 +00:08:52,860 --> 00:08:56,240 +بينطبق عليها قانون جاوس تلاتة لكن سطح Gauss اتفقنا + +105 +00:08:56,240 --> 00:08:59,120 +لها قرار الصوانة حتى الأشكال المسطحة بقولنا بيناش + +106 +00:08:59,120 --> 00:09:03,880 +متوازن مستطيلات لأنه بتحل المشكلة تلال الصوانة طيب + +107 +00:09:03,880 --> 00:09:07,860 +إيش الـ loops المغلقة؟ إيش أشكالها في بالكم؟ إيش + +108 +00:09:07,860 --> 00:09:09,220 +مفكرتكم؟ مستطيل + +109 +00:09:15,360 --> 00:09:21,800 +لأ أنا بدي الآن loop مغلقة مش سطح مغلق loop مسار + +110 +00:09:21,800 --> 00:09:27,420 +مسار هي مستطيل تمام أو دائرة طبعًا لأ حد مديش هي + +111 +00:09:27,420 --> 00:09:32,820 +أعلى ده ملاوي هي مالي أشكالية تمام إذا حيكون عندي + +112 +00:09:32,820 --> 00:09:36,180 +أنا بس شكلين أما دائرة أو مستطيل طبعًا المربع ماهو + +113 +00:09:36,180 --> 00:09:40,900 +مستطيل هي هيبقى like gauss's law زي ما كان في + +114 +00:09:40,900 --> 00:09:43,880 +gauss's law أنا إيش كنت أستخدم gauss's law أهمية + +115 +00:09:43,880 --> 00:09:47,700 +gauss's law إذا كانت بيخلّيني أعرف أحسب إيه أحسب + +116 +00:09:47,700 --> 00:09:51,680 +إيه بقول لي like gauss's law بيوصف له of Ampère's + +117 +00:09:51,680 --> 00:09:55,720 +law is in calculating the magnetic field أهميته + +118 +00:09:55,720 --> 00:10:00,740 +إنه بيحسب لي قيمة B بس وقت إيش جالي بشرط إن التكامل + +119 +00:10:00,740 --> 00:10:06,610 +هذا تقدر تحله تمام؟ وهذا التكامل أسهل حلّين له + +120 +00:10:06,610 --> 00:10:12,130 +أول حل إن بيكون برة يعني يكون B ثابت أو إذا هذا + +121 +00:10:12,130 --> 00:10:15,190 +ما تثبت خلي هذا كله يكون Zero ووقت إيش هذا + +122 +00:10:15,190 --> 00:10:18,770 +ما تكون Zero إذا هذا وهذا متعامدين صح ولا لأ؟ إذا + +123 +00:10:18,770 --> 00:10:25,570 +متعامدين كل التكامل بيروح صفر تمام إذا بيقول لي like + +124 +00:10:25,570 --> 00:10:29,630 +Gauss's law the useful of Ampere's law is in + +125 +00:10:29,630 --> 00:10:33,630 +calculating the magnetic field لتفعل هذا، يجب أن + +126 +00:10:33,630 --> 00:10:36,610 +يكون ملاحظة التفاصيل التالية. طب احنا اتفقنا إن + +127 +00:10:36,610 --> 00:10:41,410 +قانون جاوس قاصر. ليش؟ لأنه ممكن تحل التكامل إلا + +128 +00:10:41,410 --> 00:10:45,870 +في حالات خاصة. ممكن تجيب سطح مغلق بحيث إنه يكون + +129 +00:10:45,870 --> 00:10:50,750 +مستمر عليه إلا في تلات حالات مفيش لهم رابع. الأشكال + +130 +00:10:50,750 --> 00:10:54,550 +الكروية بكل أنواعها وحجمها، الأشكال الأسطوانية + +131 +00:10:54,550 --> 00:10:58,770 +الطويلة جدا، والأشكال المسطحة الكبيرة جدا. أمبيرز + +132 +00:10:58,770 --> 00:11:02,910 +قال لك نفس القضية، أنا لأ أنطبق على جميع الأشكال، + +133 +00:11:02,910 --> 00:11:06,870 +بيقول لي عشان كده The closed loop must be chosen + +134 +00:11:06,870 --> 00:11:13,270 +such that the integral التكامل الآن صار بي ضرب اتجاهي الـ + +135 +00:11:13,270 --> 00:11:18,290 +dl بيساوي mu not I enclosed هاي قانونه بقول يا الـ + +136 +00:11:18,290 --> 00:11:21,850 +loop اللي بتجي تختارها بحيث إن B كان easy to be + +137 +00:11:21,850 --> 00:11:26,290 +computed إن التكامل هذا تحسبه بسهولة either بي is + +138 +00:11:26,290 --> 00:11:30,110 +constant وهذا وقت إيش بيصير سهل أما بيكون ثابتة + +139 +00:11:30,110 --> 00:11:33,910 +وطلع برة إيش بيكون يوم التكامل ضل إيش تكامل الـ dl + +140 +00:11:33,910 --> 00:11:41,030 +سهل صارت ذا إن كلها بتتكلموا لـ Zero أو كله Zero + +141 +00:11:41,030 --> 00:11:44,370 +طبعًا اتفقنا إن Zero ممكن يكون الـ product بالديني + +142 +00:11:44,370 --> 00:11:50,250 +Zero طيب إذا أنا هذي هو شرطي for the above not to + +143 +00:11:50,250 --> 00:11:53,690 +be satisfied وهذا الشرط اتحقق بيقول الـ Ampere's + +144 +00:11:53,690 --> 00:11:56,930 +law is applicable only for current distribution of + +145 +00:11:56,930 --> 00:11:59,770 +high degree of symmetry وبالتالي لا تستطيع تطبيق + +146 +00:11:59,770 --> 00:12:04,890 +قانون Ampere إلا بحالات التماثل العالي والتماثل + +147 +00:12:04,890 --> 00:12:09,340 +العالي بتحقق بس في تلات حالات يا شباب السلك الطويل جدا + +148 +00:12:09,340 --> 00:12:14,740 +زي جاوس السلك الطويل جدا ونوعين من الملفات الملف + +149 +00:12:14,740 --> 00:12:20,300 +الحلزوني كيف حلز الملف الدائرة يا شباب هذا ملف + +150 +00:12:20,300 --> 00:12:24,080 +بيسموه ملف حلزوني هذا عشان نشوف بيكون بيه فيه + +151 +00:12:24,080 --> 00:12:27,880 +ممكن تستخدم عليه قانون أنبياء وفي ملف تاني ملف + +152 +00:12:27,880 --> 00:12:32,280 +غالباً في كل كتير الشغلات بتشوفوها سلك ملفوف حوالين + +153 +00:12:32,280 --> 00:12:36,630 +دائرة هذا ملف دائري لكتير من الملفات الطبيعية اللي + +154 +00:12:36,630 --> 00:12:41,610 +موجودة النحاسية هذا بيسموه برضه ملف toroidal برضه + +155 +00:12:41,610 --> 00:12:45,780 +هذا بينطبق عليه واحدة واحدة تمام بيقول زي إنك كنت + +156 +00:12:45,780 --> 00:12:49,460 +كيف تختار السطح ده عرض تختار كرة طب الكرة هذه + +157 +00:12:49,460 --> 00:12:52,060 +تحطها عشوائية ولازم النقطة تكون موجودة على سطحها + +158 +00:12:52,060 --> 00:12:55,020 +مشكلة النقطة لازم تكون على سطحها وهنا اللوب اللي + +159 +00:12:55,020 --> 00:12:58,400 +بتختارها لازم النقطة تكون موجودة على محيطها the + +160 +00:12:58,400 --> 00:13:01,320 +point at which B to be calculated must lie in the + +161 +00:13:01,320 --> 00:13:03,980 +circumference of that loop لازم النقطة اللي أنت + +162 +00:13:03,980 --> 00:13:07,960 +بدك تجيب عندها B تكون موجودة على محيط هذه اللوب + +163 +00:13:07,960 --> 00:13:13,580 +المغلقة تمام قلنا الحين مثال إذا أنا عندي ينطبق + +164 +00:13:13,580 --> 00:13:16,560 +قانون الأمبير على تلات حالات يا شباب الأسلاك الطويلة + +165 +00:13:16,560 --> 00:13:19,520 +جدا الـ solenoid نوع من أنواع الملفات والـ toroid + +166 +00:13:19,520 --> 00:13:22,040 +نوع من أنواع الملفات غير كده لا ينطبق قانون + +167 +00:13:22,040 --> 00:13:28,440 +الأمبير فبالتالي قصوره واضح ومفيش فيه قد حالات + +168 +00:13:28,440 --> 00:13:31,420 +الحالات الوحيدة اللي بينطبق عليها هم هدول مفيش + +169 +00:13:31,420 --> 00:13:34,960 +مجال نجيب نطبق قانون الأمبير على تلات حالات هدول + +170 +00:13:38,420 --> 00:13:42,580 +Gorse بينفعش، Ring بينفعش، فهمتوا عليا؟ احنا حلينا + +171 +00:13:42,580 --> 00:13:46,380 +على باصة بيوت صبارت تلات أنف لشباب، جبنا سلك طول + +172 +00:13:46,380 --> 00:13:50,420 +2L، كان سلك 2 طوله L، خلط عليه بيوت + +173 +00:13:5 + +201 +00:15:48,550 --> 00:15:54,740 +ذاكرين هذى؟ high silkوها دي loop ولا مش loop طول ما + +202 +00:15:54,740 --> 00:16:00,260 +أنت ماشي هيك بيه بتتغير؟ إذا لو اخترت loop دويرة + +203 +00:16:00,260 --> 00:16:04,080 +بيه بتكون ثابتة عليها ولا ما ثابتة؟ ليش؟ إنك أنت + +204 +00:16:04,080 --> 00:16:07,980 +على أبعاد متساوية من السلك ولا لأ؟ لو أخدت loop + +205 +00:16:07,980 --> 00:16:12,960 +مستطيل بتظبط معك؟ ما تظبطش لأن هاي السلك شوف أنت + +206 +00:16:12,960 --> 00:16:17,280 +لما يكون مستطيل عن هاي loop صح؟ يعني طول ما أنت + +207 +00:16:17,280 --> 00:16:21,820 +ماشي هيك بتبعد وبتجرب عن السلك من الثابتة طب وأنت + +208 +00:16:21,820 --> 00:16:25,120 +ماشي هيك بتبعدي وبتقرب ها أنا قريب هنا ابعدت هنا + +209 +00:16:25,120 --> 00:16:29,300 +ابعدت نفس العملية لما تأخذ loop مستطيل ب من + +210 +00:16:29,300 --> 00:16:35,240 +الثابتة هذا يجب أن تطلع برا لكن خد دورة طول ما أنت + +211 +00:16:35,240 --> 00:16:38,760 +ماشي هيك بتقرب ولا تبعدي عن السلك إذا ب ثابتة ولا + +212 +00:16:38,760 --> 00:16:45,040 +من الثابتة ب ثابتة طيب كمان مرة لو بدي أجيب اتجاه + +213 +00:16:45,040 --> 00:16:47,880 +بي لهذه السلك وهذه الطيارة كيف اتجاه بي + +214 +00:16:51,570 --> 00:16:55,210 +مظبوط ولا لأ؟ طيب و ال loop اللي بدي أخدها هي + +215 +00:16:55,210 --> 00:17:00,370 +نفسها جديش المسافة الجزاوية بين طول ال loop هذه و + +216 +00:17:00,370 --> 00:17:04,570 +اتجاه المجال ليش؟ + +217 +00:17:04,570 --> 00:17:10,440 +مماسا هي طول اللوب مماس والمجال المغناطيسي مماس + +218 +00:17:10,440 --> 00:17:14,520 +إذا كانتش زوايا بينهم زي بعد سفر وcosine السفر + +219 +00:17:14,520 --> 00:17:19,080 +واحد إذا كنت بسوي بقول أنا أول حاجة بدي أختار + +220 +00:17:19,080 --> 00:17:23,320 +اللوب solution for the outside region for the + +221 +00:17:23,320 --> 00:17:27,480 +outside region let us choose a circular loop بدي + +222 +00:17:27,480 --> 00:17:30,180 +أختار circular loop واتفقنا إن ال circular مش + +223 +00:17:30,180 --> 00:17:34,680 +مستطيل of radius R around the wire هي اللوب اللي + +224 +00:17:34,680 --> 00:17:40,200 +اخترتها هتجيب بهذا الاتجاه عند أعلى نقطة كيف اتجاه + +225 +00:17:40,200 --> 00:17:46,740 +المجال المغناطيسي عليكم أو عند اعطاء نقطة هنا يعني + +226 +00:17:46,740 --> 00:17:52,740 +هيك وهيك صح أو لأ؟ طيب هذه هي اتجاه المجال + +227 +00:17:52,740 --> 00:17:58,620 +المغناطيسي اتفقنا هذه هيك وهذه هيك صح هيك تمام لأن + +228 +00:17:58,620 --> 00:18:04,160 +أنا هيك اشتغلنا تمام بدي DL هذه DL اللي هو بنفس + +229 +00:18:04,160 --> 00:18:11,870 +اللي رسمتها أنا DL جزء من محيط واتجاه المحيط مماسات + +230 +00:18:11,870 --> 00:18:17,510 +ايش المماس اللي بتعمل عندها دي النقطة برضه عليكم و + +231 +00:18:17,510 --> 00:18:20,690 +ايش المماس اللي بتحطوا عليها برضه هي إذا معناته + +232 +00:18:20,690 --> 00:18:24,510 +الزاوية صفر طبعا أو 180 إذا واحد يقول أنت ليش عمل + +233 +00:18:24,510 --> 00:18:27,390 +تمة على الطريقة حتى لو كانت 180 مايكوساين صفر واحد + +234 +00:18:27,390 --> 00:18:30,830 +وكوساين مية وتمانين مايكوساين واحد مش قضية اتجاه تمه + +235 +00:18:33,900 --> 00:18:39,380 +هذه قانون أمبير بي ضد ال دي ال بقدر ال أم أضمن إن + +236 +00:18:39,380 --> 00:18:40,960 +بي is constant ولا لأ + +237 +00:18:43,640 --> 00:18:47,220 +نقول من الاسمتري نرى أن P يجب أن يكون مستمر في + +238 +00:18:47,220 --> 00:18:50,660 +المجموعة إذا هنا قانون أمبير بتقدر يتطبقوا أن P + +239 +00:18:50,660 --> 00:18:56,400 +مستمر في المجموعة وTangent لكل مقاطع في المقاطع + +240 +00:18:56,400 --> 00:19:01,460 +وبرضه تانجنت تما Thus at every point the angle θ + +241 +00:19:01,460 --> 00:19:07,100 +between P and DL is zero وكوساين الزيرو واحد بسيطة + +242 +00:19:07,100 --> 00:19:11,980 +إذا صارت بيطلعتها برا التكامل ال data product روحت + +243 +00:19:11,980 --> 00:19:16,760 +ايش تكامل دي ال ال ال مين لل loop اللي اخترتها + +244 +00:19:16,760 --> 00:19:21,880 +دويرة في حد عارفها طول الدويرة مش المحيط اثنين باي ا + +245 +00:19:21,880 --> 00:19:25,580 +بس هو من نفسي I enclosed نيجي ل I enclosed ايه + +246 +00:19:25,580 --> 00:19:30,680 +اعرف ليها لفظة اللي هي التيارات اللي تخترق المساحة + +247 +00:19:30,680 --> 00:19:34,360 +اللي حددتها ال loop ال loop اللي رسمتها حدث + +248 +00:19:34,360 --> 00:19:38,080 +للمساحة الصفراء ولا لأ شايفين مساحة الصفراء أنا بدي + +249 +00:19:38,080 --> 00:19:41,380 +التيارات التي تخترق المساحة الصفراء هذه التيارات + +250 +00:19:41,380 --> 00:19:48,880 +في واحد منهم مخترقش كلهم بدي اياهم هذا هو ال total + +251 +00:19:48,880 --> 00:19:52,980 +current ولا لأ هذا ال total current اه في واحد + +252 +00:19:52,980 --> 00:19:58,690 +بجثثنيلأ كله بدية لأن يقولي I enclosed هو ال total + +253 +00:19:58,690 --> 00:20:03,770 +current crossing the area bounded by the loop ال + +254 +00:20:03,770 --> 00:20:06,890 +area ال bounded by the loop الصفراء أول ما أعمل + +255 +00:20:06,890 --> 00:20:11,210 +loop بقول هو المسافر علي بدي اياه أي تيار بيخترقها + +256 +00:20:11,210 --> 00:20:15,830 +بيضل من ضمن I enclosed هنا نجيت إن كل التيارات + +257 +00:20:15,830 --> 00:20:20,730 +تخترقها خدهم كلهم كلهم الدكية هي قيمتهم I واضح + +258 +00:20:20,730 --> 00:20:26,560 +شباب؟ هي I enclosed طبعا إذا معناته بيقول لـ I + +259 +00:20:26,560 --> 00:20:34,080 +enclosed هي I في إشكالية خلاص طلعت جواب مش بده بيه + +260 +00:20:34,080 --> 00:20:39,980 +ايه بيه طلعت بيه وهذه أنا طلعتها أنا وياكم بواسط + +261 +00:20:39,980 --> 00:20:43,800 +بيئة أنصار لما طلعت لاثنين ال وقلت خلي ال جوز ثم + +262 +00:20:43,800 --> 00:20:48,720 +لنهاية أو طلعت النتيجة نفسها Note that this result + +263 +00:20:48,720 --> 00:20:53,180 +agree with that of example 8.1 in the limit of + +264 +00:20:53,180 --> 00:20:55,780 +long wire لما عملتي limit long wire طلعت نفس + +265 +00:20:55,780 --> 00:20:59,900 +النتيجة كانت أيامها نفس القضية كانت D بدل R أظنني + +266 +00:20:59,900 --> 00:21:03,740 +بس بدل R كانت D المسافة لأن أنا أيامها كان في عندي + +267 +00:21:03,740 --> 00:21:08,500 +سلك هيك وكان ال نقطة هنا وهذه أظنني كانت D وهذه + +268 +00:21:08,500 --> 00:21:12,880 +أقوله 2L لما أخدت كوابة من ناقص L ل L إذا كنت ذاكرين + +269 +00:21:12,880 --> 00:21:16,280 +بعدين قولنا هذا صدق جرسيا طب كيف بيكون طويل ونلتق + +270 +00:21:16,280 --> 00:21:19,880 +الجرس تماما نهاية طلعنا نتيجة هذه كذبط طلعت معايا + +271 +00:21:19,880 --> 00:21:25,640 +Mu not I على 2 باي D هي كذبط طلعت طبعا بدل D هنا + +272 +00:21:25,640 --> 00:21:29,680 +هناك ايش فيه R بس مش أكثر طلعت نفس النتيجة طبعا في + +273 +00:21:29,680 --> 00:21:35,520 +نهاية and bears low هيوم بيمليش السطر and bears + +274 +00:21:35,520 --> 00:21:39,980 +low بيطلع نتيجة بدون ميمليش السطر بيوت أنصارك بنكامل + +275 +00:21:39,980 --> 00:21:43,860 +ونعمل ونسوي ونشتغل والتكامل سهل والتكامل صعب + +276 +00:21:43,860 --> 00:21:48,060 +وبتطلعنا نتيجة في الآخر صحيح لكن بده صفحة على أقل + +277 +00:21:48,060 --> 00:21:53,700 +حل وهذا بده أقل من سطر عشان نطلع نفس النتيجة مع + +278 +00:21:53,700 --> 00:21:57,320 +الأسف إن بير من سهولته مع سهولته لا ينطبق على جميع + +279 +00:21:57,320 --> 00:22:01,760 +الأشكال أي المشكلة وبالتالي لما ينطبق سهل ما ينطبقش + +280 +00:22:01,760 --> 00:22:07,210 +فيه إشكالية تمام فيها استفسار هنا؟ بنشوف الجواب + +281 +00:22:07,210 --> 00:22:10,150 +التاني .. المقلب التاني بده جوا .. نقطة جوا يا + +282 +00:22:10,150 --> 00:22:15,450 +بابا .. بده هنا نقطة اللوب اللي أنا رسمها بنفح + +283 +00:22:15,450 --> 00:22:18,830 +هالجهة لازم يكون النقطة على المحيط .. إذا بداك + +284 +00:22:18,830 --> 00:22:21,990 +اللوب صغيرة هالجهة صح ولا لأ .. خطأ اللوب ثاني .. + +285 +00:22:21,990 --> 00:22:28,010 +بسيطة .. بقول هي السلك .. رجعنالهللنقطة داخل + +286 +00:22:28,010 --> 00:22:32,510 +الوير، اللوب الوري في هذه الحالة لديه راديوس R أقل + +287 +00:22:32,510 --> 00:22:33,310 +من كابيتل R + +288 +00:22:39,110 --> 00:22:43,610 +هذه النقطة عالمية جبت لل loop هنا نفس القضية P is + +289 +00:22:43,610 --> 00:22:47,810 +constant لأنها نفس العملية على بعاد متساوية again + +290 +00:22:47,810 --> 00:22:52,090 +by symmetry P is constant in magnitude and tangent + +291 +00:22:52,090 --> 00:22:54,690 +to the loop at every point in the loop زي ما هنا + +292 +00:22:54,690 --> 00:22:58,870 +tangent وثابتة to find the current المشكلة I + +293 +00:22:58,870 --> 00:23:03,610 +enclosed I enclosed كل التيارات بدي اياهم هل كل + +294 +00:23:03,610 --> 00:23:06,630 +التيارات اللي أنا نصمهم هدول الاسهم بيخترقوا + +295 +00:23:06,630 --> 00:23:12,910 +المساحة الصفراء أنا بس بدي هدول صح بدي بس هدول + +296 +00:23:12,910 --> 00:23:20,070 +اللي جاعدين بيربصوش بيدي اياهم بيخترقوش المساحة طب + +297 +00:23:20,070 --> 00:23:22,610 +هل بدي اخذ ثلاثة وهم يهديوا ثلاثة عشوائي إن أنا + +298 +00:23:22,610 --> 00:23:24,770 +أعمل الثلاثة ممكن يكونوا على دول مية زيهم + +299 +00:23:27,710 --> 00:23:30,810 +بدي اخذ جزء من كله ولا لا؟ أنا بدي اخذ جزء من + +300 +00:23:30,810 --> 00:23:34,210 +التيار مش كل التيار لأن هذا التيار بدي شياه فبقول + +301 +00:23:34,210 --> 00:23:38,610 +لهان بدي شياه بقول لهان بدي شياه بس بدي أنا من هال + +302 +00:23:38,610 --> 00:23:42,370 +لهان المحصور إذا أنا بدي جزء من التيار مش كل + +303 +00:23:42,370 --> 00:23:47,150 +التيار في gauss's law لما كنا بنجيب جزء من شحنة + +304 +00:23:47,150 --> 00:23:52,230 +ايه كنا نسوي؟ lambda و sigma و rho مظبوط ولا لأ؟ + +305 +00:23:52,230 --> 00:23:55,350 +كنا نروح لل densities في التيار في density أخذناها + +306 +00:23:55,350 --> 00:23:59,390 +في الشبطة الخامس وحيدة اللي هي مين ذكر للقرن دي + +307 +00:23:59,390 --> 00:24:07,650 +نسيت ايش رمزها القرن J ايه بتساوي I على A I على A + +308 +00:24:07,650 --> 00:24:11,810 +إذا ما فيش N دي إلا J ما فيش Lambda ولا Rho بس واحدة + +309 +00:24:11,810 --> 00:24:15,730 +بتقابل Sigma منها J بيسوي طيارة على مساحة ويش + +310 +00:24:15,730 --> 00:24:19,250 +المساحة كانت ال cross-sectional area زي كل ما قلنا + +311 +00:24:19,250 --> 00:24:23,390 +مصورة فيها ميه وميه بتخترق مساحات إذا بيقولي to + +312 +00:24:23,390 --> 00:24:26,590 +find the current enclosed by the loop we note that + +313 +00:24:26,590 --> 00:24:33,350 +J قال لي جي بالثانوية الطيار ال enclosed على + +314 +00:24:33,350 --> 00:24:41,070 +المساحة ال enclosed كيف بتطبخ طب هدى جي بدي أدرساله + +315 +00:24:41,070 --> 00:24:50,710 +I total على أي مساحة ساعتها total بتكتب هي طيب مين + +316 +00:24:50,710 --> 00:24:55,450 +يقولي كده I enclosed مساحة أي حاجة هناك مش المساحة + +317 +00:24:55,450 --> 00:25:00,620 +السافرة طب والمساحة كلها الخضراء اللي بقى ال + +318 +00:25:00,620 --> 00:25:07,700 +capital R تربيع تم جيه بيساوي I total على E total + +319 +00:25:07,700 --> 00:25:11,720 +و E total بيه R تربيع الخضراء وبتساوي طبعا ليش + +320 +00:25:11,720 --> 00:25:15,640 +بتساوي لأن جيه uniform جيه uniform لأن الطيارة + +321 +00:25:15,640 --> 00:25:19,680 +uniformly distributed I enclosed على بيه R تربيع + +322 +00:25:19,680 --> 00:25:22,740 +بقدر أجيب I enclosed هذه في هذه على هذه مظبوط ولا + +323 +00:25:22,740 --> 00:25:26,720 +لأ هاي نطلعته هي I enclosed المشكلة كانت في I + +324 +00:25:26,720 --> 00:25:30,440 +enclosed وجبتها جبت جزء من التيار جزء من التيار + +325 +00:25:30,440 --> 00:25:33,160 +هيو بعد كده روحت قانون أمبير بيقول هي قانون + +326 +00:25:33,160 --> 00:25:39,400 +أمبير تكامل B.DL بيساوي ميوناط I enclosed طيب B + +327 +00:25:39,400 --> 00:25:45,300 +طلعته برا التكامل ال product روحت لأنه 0 0 وcos 0 1 + +328 +00:25:48,060 --> 00:25:54,220 +DL تكامل ال 2π في ال R ال U0 في I enclosed وهي I + +329 +00:25:54,220 --> 00:25:59,060 +enclosed طبعا هنا فيه ميو نوت منسية بدي ال I + +330 +00:25:59,060 --> 00:26:06,900 +enclosed حطيتها طلعتي جون هاي جون طلع حلص الشعر بعد + +331 +00:26:06,900 --> 00:26:12,400 +النقطة عن محور .. عن المركز طب سؤالي الآن لو كانت + +332 +00:26:12,400 --> 00:26:15,180 +النقطة في المركز بالظبط ايه اللي بيطلع الجواب Zero + +333 +00:26:15,180 --> 00:26:20,860 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +334 +00:26:20,860 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +335 +00:26:23,380 --> 00:26:28,460 +Zero Zero Zero Zero هو المركز ايش مشكلته؟ مشكلته + +336 +00:26:28,460 --> 00:26:31,680 +أنه بيجعل النص فيه عنده كذا واحد لفوق وكذا واحد + +337 +00:26:31,680 --> 00:26:34,560 +لتحت هل اللي فوق أكثر من اللي تحت ولا اللي تحت + +338 +00:26:34,560 --> 00:26:39,940 +أكثر من اللي فوق؟ جبعت حلو هذا بيعني إن اللي فوق + +339 +00:26:39,940 --> 00:26:42,700 +بدي أعطي اتجاه واللي تحت بدي أعطي اتجاه معاكس ولا + +340 +00:26:42,700 --> 00:26:45,410 +لأ؟ خليني أجرب كل هؤلاء اللي واقفين هنا على + +341 +00:26:45,410 --> 00:26:50,050 +الحيطة هاي اثنين، هدور اثنين، فيه طير زيهم بس كل + +342 +00:26:50,050 --> 00:26:53,650 +واحد فور، في واحد تحت زيه ولا لأ؟ مين يجيب لاتجاه + +343 +00:26:53,650 --> 00:26:56,470 +المجال المغناطيسي للي فوجاني عند النقطة في المركز + +344 +00:26:56,470 --> 00:27:06,410 +هنا؟ طب وهدي، هدا صح + +345 +00:27:06,410 --> 00:27:11,200 +ولا لأ؟ بالغباعة ده لا بالغشفة عادية هل جيت أي اثنين + +346 +00:27:11,200 --> 00:27:16,320 +واحد فوق واحد تحت مشابه بيبقوا بعض ولا لأ إذا أنا + +347 +00:27:16,320 --> 00:27:20,180 +بتوقع عندي السمثر يكون صفر ولا بتوقعش بفور يكون + +348 +00:27:20,180 --> 00:27:24,060 +صفر والنتيجة بتعطيني صفر اصلا إذا ال symmetry + +349 +00:27:24,060 --> 00:27:28,240 +بيقول لازم عندي الصفر تطلع صفر زي ما أنا كاتب at r + +350 +00:27:28,240 --> 00:27:30,800 +بيتساوي الصفر the magnetic field inside the + +351 +00:27:30,800 --> 00:27:34,900 +conductor is zero ويكسبلين وقولنا ليش explanation + +352 +00:27:34,900 --> 00:27:37,380 +لأن ال symmetry إن every + +353 +00:27:43,840 --> 00:27:47,520 +بالتالي ال total magnetic field at the center + +354 +00:27:47,520 --> 00:27:52,690 +must be zero في إشكالية إذا هاتجيب طلعناها برا + +355 +00:27:52,690 --> 00:27:57,330 +وطلعناها جوا وهي جوا بهذه الصيغة و برا طلعناها ولا + +356 +00:27:57,330 --> 00:28:02,010 +واحدة بدنا نحفظها اصلا هذه جاية نتيجة مثال طبقنا + +357 +00:28:02,010 --> 00:28:06,590 +قانون أمبير على ال long wires ال long wire شرطه + +358 +00:28:06,590 --> 00:28:10,370 +يكون long بتطبق أمبير جسير بيدروح أطبق عليه ال + +359 +00:28:10,370 --> 00:28:14,640 +bayonet and savard long لازم يكتب ل long wire أو + +360 +00:28:14,640 --> 00:28:17,400 +very long أو infinitely long غير كده ماقدرش أطبق + +361 +00:28:17,400 --> 00:28:22,320 +قانون أمبير شبهك إذا شرط تطبيق قانون أمبير أن يكون + +362 +00:28:22,320 --> 00:28:26,380 +كاتب بالمعطيات إن ال wire is very long والا لا + +363 +00:28:26,380 --> 00:28:29,220 +يستطيع تطبيق قانون أمبير طبعا ليش لأن هذه لو + +364 +00:28:29,220 --> 00:28:33,770 +الحوافهذه مش بعيدة بيكون هنا P is not uniform بأثر + +365 +00:28:33,770 --> 00:28:37,530 +على اللوب اللي هنا طول ما أنت أطرافه بعيدة بيكون P + +366 +00:28:37,530 --> 00:28:41,190 +دوّارير زي ما احنا متفقين وما فيش عندي أي إشكالية + +367 +00:28:41,190 --> 00:28:46,190 +لكن لما تكون السلك قصير هنا يبطل فيه دوارير بيصير + +368 +00:28:46,190 --> 00:28:51,170 +فيه un uniformity موجودة بتأثير وبالتالي P بيصطل + +369 +00:28:51,170 --> 00:28:54,730 +نقدر نطلع بلد التكامل وبالتالي لازم السلك يكون + +370 +00:28:54,730 --> 00:28:55,190 +طويل + +371 +00:28:57,940 --> 00:29:01,140 +النوعين الثانيين اللي ينطبق عليهم قانون الانبير من + +372 +00:29:01,140 --> 00 + +401 +00:31:13,360 --> 00:31:17,440 +المغناطيسي له باستخدام قانون أمبير بقولي مش كل + +402 +00:31:17,440 --> 00:31:20,920 +solenoid تستخدم قانون أمبير له تمام شوف الشوة ال + +403 +00:31:20,920 --> 00:31:23,800 +solenoid اللي بستخدمها usually بيقولي عادة في + +404 +00:31:23,800 --> 00:31:27,720 +الملفات/اللفات بتكون قريبة على بعض ولا بعيدة على + +405 +00:31:27,720 --> 00:31:31,740 +بعض؟ قريبة على بعض كتير إذا ما تكون اللفات شباب + +406 +00:31:31,740 --> 00:31:33,900 +قريبة على بعض بقدر أعتبر الـSolenoid عبارة عن + +407 +00:31:33,900 --> 00:31:37,620 +رنجات فوق بعض ولا لأ؟ عبارة عن رنجات فوق بعض لو + +408 +00:31:37,620 --> 00:31:39,720 +بيطلع تستخدم القانون الأنبياء كيف بيطلع تستخدمها؟ + +409 +00:31:39,720 --> 00:31:42,580 +يقولّي أنت الـRing الواحدة جيبتيلها ولا لأ؟ حلينا + +410 +00:31:42,580 --> 00:31:46,480 +مثال عن رنج الشباب لما كانت النقطة هنا صح هدر رنج + +411 +00:31:46,480 --> 00:31:51,700 +فمثل ما يكون عدة رنجات الـRing عنصر كامل بتفنق بيه + +412 +00:31:52,590 --> 00:31:55,990 +كامل بالطبع لو عندك عشرة rings بتجيب بيه رنك و + +413 +00:31:55,990 --> 00:31:59,070 +بتطرف في العشرة أو بتعمل .. بتجيش معاكم على اعتبار + +414 +00:31:59,070 --> 00:32:02,970 +أن بيه is the same direction لكن بيقولني في بعض + +415 +00:32:02,970 --> 00:32:06,530 +السيليوناويد بيسميه الـ ideal سيليوناويد بيكون + +416 +00:32:06,530 --> 00:32:11,430 +الطول تبعه كبير خصوصًا الـ tails هم مجرد مجرد مجرد + +417 +00:32:11,430 --> 00:32:12,030 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +418 +00:32:12,030 --> 00:32:20,310 +مجرد مجرد مجرد مجرد + +419 +00:32:20,310 --> 00:32:29,670 +مجرد مجرد + +420 +00:32:32,420 --> 00:32:37,900 +بقول نحن نعتبر هذا الآن غالبًا الطول من السولينويد + +421 +00:32:37,900 --> 00:32:45,560 +هو أكثر من قطر السولينويد السولينويد هو أكثر من + +422 +00:32:45,560 --> 00:32:50,900 +قطر السولينويد السولينويد + +423 +00:32:50,900 --> 00:32:52,920 +هو أكثر من قطر السولينويد السولينويد هو أكثر من + +424 +00:32:52,920 --> 00:32:54,400 +قطر السولينويد السولينويد هو أكثر من قطر + +425 +00:32:54,400 --> 00:32:54,480 +السولينويد السولينويد هو أكثر من قطر السولينويد + +426 +00:32:54,480 --> 00:32:55,500 +السولينويد هو أكثر من قطر السولينويد السولينويد هو + +427 +00:32:55,500 --> 00:32:58,460 +أكثر من قطر السولينويد السولينويد هو أكثر من قطر + +428 +00:32:58,460 --> 00:33:00,400 +السولينويد السولينويد هو أكثر من قطر السولينويد + +429 +00:33:00,400 --> 00:33:02,410 +السولينويد هو أكثر من قطر الستمام الـ idea + +430 +00:33:02,410 --> 00:33:06,470 +السيمونودي اتفقنا إيش مشكلته أنه طويل جدًا و القطر + +431 +00:33:06,470 --> 00:33:11,550 +صغير جدًا يعني لو أنا كان في عندي أسطوانة زي هيك + +432 +00:33:11,550 --> 00:33:15,270 +طويلة + +433 +00:33:15,270 --> 00:33:21,570 +جدا هذه اللي هي بتسميها R تقول الاسفر هي معانا + +434 +00:33:21,570 --> 00:33:26,690 +صغيرة جدا صح ولا لأ طيب هذا أسطوانة بدلوف حولها + +435 +00:33:26,690 --> 00:33:31,850 +سلك بدلوف حولها سلك هيك شباب تمام السلك بدى يحمل + +436 +00:33:31,850 --> 00:33:34,730 +تيار تيار هيك ماشي لو اطلع طول على هذا الجانب + +437 +00:33:34,730 --> 00:33:41,090 +الطيار كيف يكون اتجاهه كله هيك الطيار ماشي هيك + +438 +00:33:41,090 --> 00:33:46,050 +بيكون خالد ولا لأ وهنا داخل هيك بيكون طيار ماشي + +439 +00:33:46,050 --> 00:33:50,070 +هيك و هيك مظبوط ولا لا عشان اللوف طب أنا بدي أركض + +440 +00:33:50,070 --> 00:33:53,070 +ع شغلتين بدرسهم هذا الطرف و هذا الطرف بدرسهم + +441 +00:33:53,070 --> 00:33:58,190 +تيارات جاية عليكم احنا كنا هيك و أطرفها ده هيك إذا + +442 +00:33:58,190 --> 00:34:00,530 +هذه بدي أستبدلها الشباب ممكن هيك + +443 +00:34:05,520 --> 00:34:10,220 +و هان و + +444 +00:34:10,220 --> 00:34:14,480 +هكذا كل اللفات مظبوط ولا؟ هذا السلك هيك ماشي طيب + +445 +00:34:14,480 --> 00:34:19,560 +أنا بدي أجيب بيه برا وجوا خليني أشوف برا هنا بدي + +446 +00:34:19,560 --> 00:34:23,540 +بيه هنا حاجة بيه هنا من أين جاء يا شباب من هذا + +447 +00:34:23,540 --> 00:34:26,300 +السلك ومن هذا السلك ومن هذا السلك ومن هذا السلك + +448 +00:34:26,300 --> 00:34:30,160 +مظبوط ولا؟ وكأنه خليني أقرأ اتجاه هذا مين يقول + +449 +00:34:30,160 --> 00:34:31,740 +لي من هذا السلك كيف اتجاه بيه؟ + +450 +00:34:35,370 --> 00:34:40,110 +نازل لتحت هذا الـ B تبقى الـ right طب و تبقى الـ left + +451 +00:34:40,110 --> 00:34:48,110 +لا فوق هذا الـ B تبقى الـ left الـ total B بيجمع ولا + +452 +00:34:48,110 --> 00:34:54,210 +بطرح عكس بقيت هدول صح؟ بدي أطرح كمقادير بدي أطرح + +453 +00:34:54,210 --> 00:34:58,250 +يعني أنت تتوقع أن الـ B هنا تكون جليلة ولا كبيرة + +454 +00:34:58,250 --> 00:35:04,320 +مقتش بتساوي صفر لما هدي تساوي هدي صح ولا لأ؟ إيش مفرق + +455 +00:35:04,320 --> 00:35:08,960 +هدي عن هدي؟ المسافة هدي طب لو هدي تكون تقلل الـ + +456 +00:35:08,960 --> 00:35:12,300 +zero بصير هدي تقريبًا بتساوي هدي ولا لأ؟ إذا إذا كده + +457 +00:35:12,300 --> 00:35:18,280 +إيش بتطلع بيه هنا؟ صفر نجي لبقى جوا من + +458 +00:35:18,280 --> 00:35:25,200 +الراية كيف تكون اتجاهه؟ لفوق بي write طب من هدي؟ + +459 +00:35:25,200 --> 00:35:32,620 +لفوق في كنيه يكون zero؟ لأ إذاً بي جوا له قيمة بي + +460 +00:35:32,620 --> 00:35:36,360 +برا ضعيف عشان كده تطلعوا كيف بي برا بتعملها عامل + +461 +00:35:36,360 --> 00:35:39,400 +خطين شوفوا كم خط جوا إذا كنتوا شايفينها هنا بي + +462 +00:35:39,400 --> 00:35:44,320 +كثيف لأنه هنا بي كبير وهنا نفس العملية كثيف جدًا + +463 +00:35:44,320 --> 00:35:48,440 +إذا بي جوا له قيمة و بي برا كنتوا ضعيفة بيقولون + +464 +00:35:48,440 --> 00:35:51,630 +إذا قاعد ياسونيوية ضعيف بدي أعتبره صفر هتفرق + +465 +00:35:51,630 --> 00:35:54,250 +الصفر ليش؟ لإن بيقولني أصلا هذا الفرق بين هذا و + +466 +00:35:54,250 --> 00:35:56,410 +هذا هي المسافة و ماذا هي المسافة هي اللي تقولني + +467 +00:35:56,410 --> 00:36:00,690 +الصفر فهذا تقريبًا بيساوي هذا إذا بيه جدش برا إذا + +468 +00:36:00,690 --> 00:36:04,970 +المعلومة بينا نحفظها ونفهمها إن بيه برا السلينويد + +469 +00:36:04,970 --> 00:36:09,370 +جدش فرقاج السلينويد نجي للـ capacitor نقول جدش E + +470 +00:36:09,370 --> 00:36:14,780 +هنا ذاكرينها؟ وجدش E هنا؟ كانت E هنا uniform + +471 +00:36:14,780 --> 00:36:19,080 +وبتساوي sigma على epsilon note إذا كنتوا ذاكرينها + +472 +00:36:19,080 --> 00:36:23,560 +إذا E uniform هنا بيه نفس القضية بيه برا صفر وجوا + +473 +00:36:23,560 --> 00:36:28,400 +uniform الخطوط تقريبًا موازية وين تبتدأ؟ وين الشباب + +474 +00:36:28,400 --> 00:36:31,840 +عندهم أطراف؟ شايفين كيف؟ هنا الخطوط بتكون تقريبًا + +475 +00:36:31,840 --> 00:36:34,900 +متوازية هنا بتبدأ تميل عشان كده لما الأطراف تكونوا + +476 +00:36:34,900 --> 00:36:38,820 +بعيدة عني بدي أعتبر بيه جوا uniform بدي أعتبر بيه + +477 +00:36:38,820 --> 00:36:40,920 +جوا uniform إذا بيقول + +478 +00:36:43,590 --> 00:36:49,430 +العادية السيلينويت عشان المهمة هذه اتذكروا أنا + +479 +00:36:49,430 --> 00:36:55,010 +لعبتكم إيه يعني تمام for such a solenoid الـ ideal + +480 +00:36:55,010 --> 00:36:58,670 +سولينويد شباب الـ ideal سولينويد الـ ideal سولينويد + +481 +00:36:58,670 --> 00:37:02,510 +فيه لخصيتين لفاته قراب على بعض كتيرة يعني كتير + +482 +00:37:02,510 --> 00:37:07,370 +لفاته وطوله أكبر من قطره بكتير يعني قطره قريب إلى + +483 +00:37:07,370 --> 00:37:11,690 +صفر for such a solenoid the magnetic field outside + +484 +00:37:11,690 --> 00:37:17,810 +صفر ذاكرين؟ صفر بالغباء and uniform inside جوه + +485 +00:37:17,810 --> 00:37:21,520 +الـ uniform تمام؟ بدي أوجد شدة المجال المغناطيسي + +486 +00:37:21,520 --> 00:37:25,980 +لأن أجيب برا ولا جوا لأن برا بده صفر خلص اتقيمته + +487 +00:37:25,980 --> 00:37:31,320 +بدي أجيب برا جوا لأن طيب هذا السولينويد هي رسمته + +488 +00:37:31,320 --> 00:37:35,200 +ممكن أستعيد عنه منها هيك تمام بدي أجيب منشطر لأن + +489 +00:37:35,200 --> 00:37:39,340 +أقصه من هنا بيبينلي هذا وأقلبه هيك عشان أعرف + +490 +00:37:39,340 --> 00:37:43,200 +أشتغل عليه بدي أجيب جوا يعني بدي أنا أشق بطنه + +491 +00:37:43,200 --> 00:37:48,870 +السولينويد بدي بطنه هي بطنه هذا الـ solenoid جيبته + +492 +00:37:48,870 --> 00:37:53,810 +هناك وجيبت منشار وعملت مقطع طبعًا السلك كيف ماشي + +493 +00:37:53,810 --> 00:37:56,870 +الطيار؟ ماشي هيك وطالع هيك .. ماشي هيك وطالع هيك + +494 +00:37:56,870 --> 00:38:00,230 +.. تمام؟ وقصته .. اه أنا أشتغل عليه .. وين بده + +495 +00:38:00,230 --> 00:38:03,310 +المجال؟ قال لي بدي نقطة هنا .. هي inside .. مش هذي + +496 +00:38:03,310 --> 00:38:08,290 +النقطة inside .. هنا كده شدة بيه؟ وهنا؟ صفر .. نجي + +497 +00:38:08,290 --> 00:38:10,790 +لليه اتجاه هذا الشباب .. مين يقولي جيبليه؟ اتجاه + +498 +00:38:10,790 --> 00:38:16,290 +بيه .. هان .. هي الطيار .. هي .. هي اتجاهه .. أو + +499 +00:38:16,290 --> 00:38:21,570 +هذا الاتجاه + +500 +00:38:21,570 --> 00:38:27,850 +بيه هذا الاتجاه بيه الخطوط متوازية لأن أنا قاعد جالس + +501 +00:38:27,850 --> 00:38:34,530 +في النقطة هذا الاتجاه بيه تمام بيه is uniform جوا بس + +502 +00:38:34,530 --> 00:38:39,150 +برا صفر جالي إذا في uniform إذا أنت جربت ممكن + +503 +00:38:39,150 --> 00:38:41,770 +تطبيق قانون الأنبياء بس بأكتين بيه؟ لازم تختار + +504 +00:38:41,770 --> 00:38:46,310 +loop لو اخترت loop دويرة شباب أنا بدي شدة المجال + +505 +00:38:46,310 --> 00:38:51,070 +اللي مطيسة عند النقطة دي قال هاي loop مش هاد الـ + +506 +00:38:51,070 --> 00:38:55,960 +loop دويرة، هاي الـ loop هل بيثبت عليها؟ مش بره صفر + +507 +00:38:55,960 --> 00:38:59,860 +وجوا فيه قيمة هاد اللوب متنفع كاش طب هو ربنا + +508 +00:38:59,860 --> 00:39:04,280 +ماخال جريشه مغلقة للدويرة؟ لأ خلانا مستطيل ولا لأ + +509 +00:39:04,280 --> 00:39:09,560 +قال هذا اللوب متنفع كاش خد مستطيل ليش؟ طب ليش + +510 +00:39:09,560 --> 00:39:13,500 +افرجت معاك؟ قال ليه بتفرج معايا كتير اللوب كم ضلع + +511 +00:39:13,500 --> 00:39:18,980 +لها الدائرة كان ضلع شباب إلها، ضلع واحد المستطيل، + +512 +00:39:18,980 --> 00:39:22,880 +أربعة، اللوب مشكلتك في التكامل، ما فيش عندك إلا + +513 +00:39:22,880 --> 00:39:26,740 +تكامل واحد، ماقدرش تطلع بيه، بتضلك ملزق، ماقدرش + +514 +00:39:26,740 --> 00:39:32,660 +تتعامل المستطيل التكامل بتجسمه أربعة تكاملات وبيصير + +515 +00:39:32,660 --> 00:39:35,960 +كل تكامل يتعامل معاه على حدة أو ممكن ينحل مشكلتك + +516 +00:39:35,960 --> 00:39:40,840 +تمام إذا بيقولي to calculate the internal magnetic + +517 +00:39:40,840 --> 00:39:45,000 +field بيجيب الآية magnetic field جواني we can + +518 +00:39:45,000 --> 00:39:49,120 +apply Ampere's law to the rectangular loop إذا أنا + +519 +00:39:49,120 --> 00:39:56,800 +أخدت loop مستطيل أنهي A B C D وبرجع A هذه الـ loop + +520 +00:39:56,800 --> 00:40:01,920 +تبعّتي عارفين ليش الديارة ما بتنفعش؟ جمعني ليش + +521 +00:40:01,920 --> 00:40:05,660 +الديارة ما بتنفعش؟ لأن B is not constant on the + +522 +00:40:05,660 --> 00:40:12,640 +length of the loop تمام طيب بقولي هاي القانونة في + +523 +00:40:12,640 --> 00:40:15,120 +gauss's law إيش كان الفرق ما بين تاخد سطح gauss + +524 +00:40:15,120 --> 00:40:19,700 +قراوي أو أسطوانة في القرأة كان سطح إلها؟ واحد + +525 +00:40:19,700 --> 00:40:23,520 +الاستطاعة اللي كنت تسويه تجسمها لتلاتة وتتعامل مع + +526 +00:40:23,520 --> 00:40:27,020 +كل واحدة على حدة ولا لأ أنت ما تقول بيسه وبيسه و + +527 +00:40:27,020 --> 00:40:30,680 +كرت هنا بقالك هذا التكامل بنفع تاخده مرة واحدة + +528 +00:40:30,680 --> 00:40:39,720 +بالجسم لها كم؟ أربعة تكاملات من A لـ B من B لـ C من C + +529 +00:40:39,720 --> 00:40:44,560 +لـ D ومن D لـ E هاي الأربعة أضلها طيب جالك يا الله + +530 +00:40:44,560 --> 00:40:48,080 +أشتغل إذا أي تكامل فيهم غلبك ما تقعدش تشغل غلط + +531 +00:40:49,190 --> 00:40:52,810 +أول تكامل مريحني .. كده بيه هنا؟ إذا جينا كده + +532 +00:40:52,810 --> 00:40:55,890 +اتدلق أقول تكامله الله صحيح عليه .. وينه من انصلة + +533 +00:40:55,890 --> 00:41:00,990 +دي؟ من انصلة دي؟ الله صحيح عليه .. ليش؟ عشان بيه + +534 +00:41:00,990 --> 00:41:05,750 +بتساوي صفر .. طيب هاد غريب .. هاد بيه مش ثابت عليه + +535 +00:41:05,750 --> 00:41:10,470 +.. هنا هنا قيمة .. هنا صفر .. لكن ريحني .. لأجلك + +536 +00:41:10,470 --> 00:41:13,870 +أطلع بيه ويتغلب حالك .. مش بيه هيك اتجاهه شباب + +537 +00:41:13,870 --> 00:41:18,320 +.. ودي ال هيك اتجاهه .. ما أديش الزاوية وجدش كسر + +538 +00:41:18,320 --> 00:41:21,540 +التسعين، إذا الله سحر عليه، أنا هطلع برا وأنا + +539 +00:41:21,540 --> 00:41:28,800 +خليه جوا وهذا .. هذا زي ما أنا زيه، الله سحر + +540 +00:41:28,800 --> 00:41:35,200 +عليه ماذا قالوا؟ ده الدلع الجوه .. الدلع اللي جوه + +541 +00:41:35,200 --> 00:41:38,800 +بيه uniform ولا مش uniform عليه؟ أصلا uniform + +542 +00:41:38,800 --> 00:41:42,340 +يعني ثابتة طلعها برا طلعناها ده اللي مضبط البرودات + +543 +00:41:42,340 --> 00:41:46,920 +من a لـ b هاي الاتجاه وبيه هاي الاتجاه قدش الزاوية + +544 +00:41:46,920 --> 00:41:52,260 +الـ zero وقصّان الـ zero واحد إذا كنت تكاملات حلت كنت + +545 +00:41:52,260 --> 00:42:01,130 +تكاملات حلت for the portions B C B C and D A + +546 +00:42:01,130 --> 00:42:07,990 +العموديات شباب B C و D A B شدة المجال المغناطيسي + +547 +00:42:07,990 --> 00:42:12,470 +is perpendicular to D A العمودي على طول السلك على + +548 +00:42:12,470 --> 00:42:17,570 +طول الـ loop and for the portions C D والفجاني + +549 +00:42:17,570 --> 00:42:22,610 +الدلق الفجاني قدش B عليه صفر معناته بيقول لي هذا + +550 +00:42:22,610 --> 00:42:29,730 +روحو هاد روح وهاد روح طبعًا هدول روحوا عشان التعامد + +551 +00:42:29,730 --> 00:42:34,690 +وهاد روح عشان إيش؟ عشان B0 المهم روحوا، مش السبب + +552 +00:42:34,690 --> 00:42:37,590 +مش مهم، لكن مهمني أعرف شويه السبب، لكن في النهاية + +553 +00:42:37,590 --> 00:42:42,900 +أنا بهمني روحه، أكثر من ذلك ارتكاب مرض البقال قدش + +554 +00:42:42,900 --> 00:42:48,200 +هنا من a لـ b بس من a لـ b بقول for the portion a,b + +555 +00:42:48,200 --> 00:42:55,900 +,b,B موازي للطول صح يعني الـ product روحت and its + +556 +00:42:55,900 --> 00:42:59,060 +magnitude is constant لأنه قال لي الـ ideal + +557 +00:42:59,060 --> 00:43:03,100 +solenoid بيجوه uniform هو أصلا صارت معلومة عندي بيه + +558 +00:43:03,100 --> 00:43:08,540 +is uniform قال لي حلو صرت هيك طلّع التكامل الـ B + +559 +00:43:08,540 --> 00:43:12,720 +بيبقى تكامل، جوا التكامل صار الـ DL، الطول الـ DL هو + +560 +00:43:12,720 --> 00:43:18,040 +عطني دول قداش الـ L، حطيت الـ L المشكلة في I + +561 +00:43:18,040 --> 00:43:24,260 +enclosed ما أعرفش أرقصهم اللي جوا واللي برا، وين I + +562 +00:43:24,260 --> 00:43:28,480 +enclosed أنا هال gate؟ إيش بده التيار اللي داخل؟ + +563 +00:43:28,480 --> 00:43:31,440 +هناك كانت في عندي مساحة صفرة، ذاكرينها؟ أشيل + +564 +00:43:31,440 --> 00:43:32,780 +مساحة صفرة هنا، هتكون محلها + +565 +00:43:35,590 --> 00:43:39,470 +المساحة الصفر كايمثل المساحة اللي حددتها مين الـ + +566 +00:43:39,470 --> 00:43:44,350 +loop طب اللو باش هيها أنا بدي المساحة دي إيش فيها + +567 +00:43:44,350 --> 00:43:48,890 +تيارات بتخترق وبدك تعدها صح ولا لأ طيب هذا + +568 +00:43:48,890 --> 00:43:56,510 +الطيار بيخترق طب هذا هذا هذا وهذا بدك تعد هدول + +569 +00:43:56,510 --> 00:44:01,090 +هدول إيش بيمثلوا + +601 +00:46:33,670 --> 00:46:37,090 +بجهد النقطة مازال أنت جوا برا طبعا صفر احنا مالنا + +602 +00:46:37,090 --> 00:46:41,670 +الجاعة أما جوا عند أي نقطة جوا نفس القيمة لإن هي + +603 +00:46:41,670 --> 00:46:47,610 +بتاعتها تعتمد على X ورقة ميو نوت ثابت إن عدد + +604 +00:46:47,610 --> 00:46:51,430 +اللفات لكل واحدة الطول ثابت لسلول واحد وI ثابتة + +605 +00:46:52,770 --> 00:46:56,310 +where n is the number of turns per unit length + +606 +00:47:03,590 --> 00:47:07,450 +الآن اللي بدنا نعرفه بالنسبة للسترينويد بدنا نحفظه + +607 +00:47:07,450 --> 00:47:10,690 +ليه شغلتين لإن السترينويد بدنا نحفظه الترويد اللي + +608 +00:47:10,690 --> 00:47:13,510 +ورا بدنا إيش نحفظه زي الcapacitor البرادر بليد + +609 +00:47:13,510 --> 00:47:15,890 +الcapacitor كله بدنا نحفظه ال spherical وال + +610 +00:47:15,890 --> 00:47:17,870 +cylindrical محفظة هم ليش لكن كنا عارفين كيف + +611 +00:47:17,870 --> 00:47:22,030 +نشتاقهم مظبوط ولا لأ هذه السترينويد أنا بس المطلوب + +612 +00:47:22,030 --> 00:47:25,190 +مني أحفظ الideal استرينويد الideal استرينويد في + +613 +00:47:25,190 --> 00:47:31,140 +عنده صفتين بيبرر الديشزيرو جوا uniform وقداش + +614 +00:47:31,140 --> 00:47:35,720 +قيمته ميو نوت انف الاي هالي بنحفظه uniform وقيمته + +615 +00:47:35,720 --> 00:47:39,260 +قداش فهو القانون شده في المجال المغناطيسي جوا + +616 +00:47:39,260 --> 00:47:44,290 +السيرينويد بده نحفظه ميو نوت انف الايمؤقتا بيكون + +617 +00:47:44,290 --> 00:47:47,850 +معروف يعني لإنه مشهور عشان كده رمز الملف شباب + +618 +00:47:47,850 --> 00:47:51,550 +أخدوه من ال solenoid ال solenoid هو الرمز لإن احنا + +619 +00:47:51,550 --> 00:47:56,450 +بيعمل الملف لما يكون في عندي دائرة فاني أسميها هاي + +620 +00:47:56,450 --> 00:48:01,170 +مقارنة هاي capacitor وبيعمل هيك هاي ملف هذه + +621 +00:48:01,170 --> 00:48:07,550 +بيسموها R هذه C وهذه L بعدين من الجهة هذا هو + +622 +00:48:07,550 --> 00:48:10,810 +السولينويد عشان كده عشان هو مشهور قالوا خلينا + +623 +00:48:10,810 --> 00:48:15,330 +نميزه على بجية الملفات إنه نحفظ قانونه يعني عشان + +624 +00:48:15,330 --> 00:48:20,670 +نبقى مشهور جدا بقى أنا الملف التاني اللي مش هنحفظ + +625 +00:48:20,670 --> 00:48:24,730 +قانونه بس هنشتق بيه تبعته هو الترويد قال ليش هو + +626 +00:48:24,730 --> 00:48:29,090 +الترويد قال لي هو السولينويد بس إيش يتساوي فيه مش + +627 +00:48:29,090 --> 00:48:32,170 +السولينويد هيركس قال لي لفوه ييكوا يعملوا دويرة صار + +628 +00:48:32,170 --> 00:48:38,520 +ترويد فجيت ملف حلزوني مقس طوانة لفه وعمله بصير + +629 +00:48:38,520 --> 00:48:46,880 +دويرة إذا هذا هو ال Troid هذا هو لو جسيت هذا شباب + +630 +00:48:46,880 --> 00:48:50,480 +جسيته وعدلته بطلع سنانويت بطلع سنانويت بطلع + +631 +00:48:50,480 --> 00:48:55,960 +سنانويت ثاني بيقول ال Troid ال Troid is a long + +632 +00:48:55,960 --> 00:49:03,340 +wire went around a donut-shaped structure شكل زي + +633 +00:49:03,340 --> 00:49:09,480 +الكعكة، شكل كعكاوي، خلّيني أسميه كعكاوي، كعكاوي، + +634 +00:49:09,480 --> 00:49:19,460 +كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، + +635 +00:49:19,460 --> 00:49:22,640 +كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، + +636 +00:49:22,640 --> 00:49:26,580 +كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، + +637 +00:49:26,580 --> 00:49:26,620 +كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، + +638 +00:49:27,570 --> 00:49:29,830 +الدونات بالفرنسية ما هي الكلمة أظن إن الفرنسية + +639 +00:49:29,830 --> 00:49:34,610 +بيصير دونات في أكلة بيسموها ال دونات برضه زي + +640 +00:49:34,610 --> 00:49:38,130 +الكعكة بس خبز كعكة وبيحطوا عليه سكر ومش عارف إيش + +641 +00:49:38,130 --> 00:49:41,310 +بيسموها ال دونات بس كلمة ال دونات أعتقد إن هي كلمة + +642 +00:49:41,310 --> 00:49:46,610 +فرنسية زيها ال donut تمام it can be considered as + +643 +00:49:46,610 --> 00:49:50,870 +a solenoid bent into the shape of a donut بيقول إن + +644 +00:49:50,870 --> 00:49:54,210 +هو نفس ال solenoid بس أعمله عشان الكعكة بيصير + +645 +00:49:54,210 --> 00:50:02,430 +ترويد المهم بنجيب P الآن هذا شباب بيشبه الكباسيطر + +646 +00:50:02,430 --> 00:50:06,970 +الدائري زكي الكباسيطر الدائري خلينا نشوف الكباسيطر + +647 +00:50:06,970 --> 00:50:10,470 +الدائري هاي القراء وهاي القراء هذه كانت ال Q وهذه + +648 +00:50:10,470 --> 00:50:16,390 +سلبي Q ماشي كوا نقول مين هو اللي مديش E هنا طب و E + +649 +00:50:16,390 --> 00:50:21,540 +هنا؟ زي المثال يجب أن تكون في الامتحان مظبوط هنا + +650 +00:50:21,540 --> 00:50:25,760 +سفر وهنا سفر هنا كان فيه قيمة فزي الكبسطر هذا كنا + +651 +00:50:25,760 --> 00:50:29,440 +نقول هنا سفر وهنا سفر هنا قيمة مظبوط أو لا هذا ال + +652 +00:50:29,440 --> 00:50:34,020 +truth بشبه الكبسطر الدائري الكراوي الكبسطر الكراوي + +653 +00:50:34,020 --> 00:50:42,320 +أنا بدي أجيب B هنا وB هنا وB هنا بدي أتأكد إن B + +654 +00:50:42,320 --> 00:50:48,780 +هنا سفر وB هنا سفر وB هنا قيمة تمام؟ قبل ما أعمل كل + +655 +00:50:48,780 --> 00:50:53,580 +حاجة شباب لو أنا أجيت قلت لكم السيناودي اللي أنا + +656 +00:50:53,580 --> 00:51:00,060 +جبت لكم إياه المرة هذيك شايفين + +657 +00:51:00,060 --> 00:51:06,420 +هذا؟ لو أديت لفة هدول إيش بيصير فيهم؟ إيش بيصيروا + +658 +00:51:06,420 --> 00:51:10,860 +بشكل؟ loop ولا مش loop؟ إذا بتتوقعوا المجال + +659 +00:51:10,860 --> 00:51:14,820 +المغناطيسي يكون عبارة عن loop زي هيك صح ولا لأ + +660 +00:51:14,820 --> 00:51:20,190 +عبارة عن rings؟ تمام؟ لما نيجي نعمل احنا ال .. ال + +661 +00:51:20,190 --> 00:51:24,150 +denote هذا + +662 +00:51:24,150 --> 00:51:27,810 +أنا فيه عندي تيار طبعا هذه لفات وين بدايتها وين + +663 +00:51:27,810 --> 00:51:36,150 +نهايتها خليني أنا أشوفهم وين حاططهم مش مبينين هو + +664 +00:51:36,150 --> 00:51:38,910 +اللي بدون يجب أن يكون بعد من النقطة ومن تلنا نقطة + +665 +00:51:38,910 --> 00:51:43,430 +يعني بدون يكونوا لفين هيك خليني أقول لفين هيك هيك + +666 +00:51:43,430 --> 00:51:50,410 +كيف بدي أجيبها؟ بقول بسيطة أنا بدي أكون معايا التيار + +667 +00:51:50,410 --> 00:51:54,630 +هيك عامل صح ولا لأ التيار هال في التيار في كل + +668 +00:51:54,630 --> 00:51:57,970 +أحوال بدي أكون ماشين وهذا هو ماشي معايا أنا بدي + +669 +00:51:57,970 --> 00:52:03,330 +أمشي حوالي الكعكة أصابع الأربعة بلفهم مع الكعكة + +670 +00:52:03,330 --> 00:52:08,270 +أصابع الأربعة بلفهم مع الكعكة لإن اتجاه بيه بيكون + +671 +00:52:08,270 --> 00:52:11,370 +هيك هي اتجاه بيه + +672 +00:52:14,310 --> 00:52:20,650 +طبعا أنا في شغلة لازم نعملها بس نعمل التالي هذا + +673 +00:52:20,650 --> 00:52:26,070 +snake شباب هي تياره مين يقول اتجاه المجال + +674 +00:52:26,070 --> 00:52:33,610 +المغناطيسي عن النقطة هذ كيف أجيبها للخارج + +675 +00:52:33,610 --> 00:52:37,710 +صح ولا لأ للخارج ليش لإن التيار هيه هي التيار + +676 +00:52:40,770 --> 00:52:50,110 +هيك للخارج هيك للخارج هيك للخارج هيك للخارج هيك + +677 +00:52:50,110 --> 00:52:54,130 +للخارج هيك للخارج هيك للخارج هيك للخارج هيك للخارج + +678 +00:52:54,130 --> 00:52:54,750 +هيك للخارج هيك للخارج هيك للخارج هيك للخارج هيك + +679 +00:52:54,750 --> 00:52:57,410 +للخارج هيك للخارج هيك للخارج هيك للخارج هيك للخارج + +680 +00:52:57,410 --> 00:53:02,060 +هيك للخارج هيبعطيك بيه ولا لأ بس هذا بشرطش بأبقى + +681 +00:53:02,060 --> 00:53:05,160 +مرةش أديكميها في الأول إن يكون النقطة جوا ال curve + +682 +00:53:05,160 --> 00:53:07,580 +مش برا ال curve يعني لما النقطة تكون هنا مينفعش + +683 +00:53:07,580 --> 00:53:11,860 +لما يكون هنا عندك curve لو بديك نقطة هنا تبقى خدت + +684 +00:53:11,860 --> 00:53:16,720 +شغلها لكن لو نقطة فوق مينفعش تمام هنا بدل من هنا + +685 +00:53:16,720 --> 00:53:23,290 +out هنا بمعنى آخر لازم يكون السلك تحت إيديك أو هنا + +686 +00:53:23,290 --> 00:53:28,310 +فوق إيديك بقى ولا بتلعب كذا ندرها هذه السلك لافف + +687 +00:53:28,310 --> 00:53:32,490 +لو السلك شباب بيلف هيك بقدر أعمل صبيعي هيك تلعب + +688 +00:53:32,490 --> 00:53:35,670 +إبهامك إيش بيسوي وإنت ماشي يمسك الكعكة على كل + +689 +00:53:35,670 --> 00:53:40,210 +محيطها إيش إبهامك بيعمل بيعمل مماس على كل الكعكة + +690 +00:53:40,210 --> 00:53:43,830 +ولا لأ إذا بيكون عامل دوّير على الكعكة بالظبط + +691 +00:53:43,830 --> 00:53:52,200 +بتكون بي بهذا الشكل الآن أنا ما أعرفش ضبطت معاكم + +692 +00:53:52,200 --> 00:53:56,420 +إيديكم حولتهم ولا ما حولتهمش إن بي بتكون هيك شكلها + +693 +00:53:56,420 --> 00:54:02,320 +الشباب طبعا حسب السلك لا هيك لا العكس لكن ما فيش + +694 +00:54:02,320 --> 00:54:08,380 +احتمال آخر هذا بي بيقول to find a magnetic field + +695 +00:54:08,380 --> 00:54:12,360 +inside a toroid we can apply Ampere's law to a + +696 +00:54:12,360 --> 00:54:16,500 +circular loop of radius R as shown هاي اللوب اللي + +697 +00:54:16,500 --> 00:54:17,260 +أنا بتاخد + +698 +00:54:21,100 --> 00:54:27,140 +طيب بى هيكون ثابت وtangent قطعا from the symmetry + +699 +00:54:27,140 --> 00:54:30,300 +the magnetic field lines form concentric circles + +700 +00:54:30,300 --> 00:54:33,740 +inside the toroid، طب عنليه ثابت؟ ما هو أنا أخدته + +701 +00:54:33,740 --> 00:54:37,300 +في السينايويد جوا ثابت أصلا، وهذا أنت لفته فهو + +702 +00:54:37,300 --> 00:54:40,880 +ثابت، بالتالي يجب أن يكون ثابت، this means that B + +703 +00:54:40,880 --> 00:54:44,780 +is constant in magnitude along the Amperian loop + +704 +00:54:44,780 --> 00:54:48,980 +and directed tangent to it therefore at a point + +705 +00:54:48,980 --> 00:54:53,300 +inside that road .. بنعمل هالشغلة بس هذا هو هذا + +706 +00:54:53,300 --> 00:54:56,160 +قانون الأنبياء اللي ما فيش مشكلة فيه بيه طلعتها برا + +707 +00:54:56,160 --> 00:55:00,620 +وعمودي ع ال DL طلعت هيك المشكلة في I enclosed + +708 +00:55:00,620 --> 00:55:06,180 +شباب المشكلة في I enclosed ارجع إيش التيارات اللي + +709 +00:55:06,180 --> 00:55:10,140 +بدكي إياهم؟ بدكي التيارات اللي اخترقوا هذه المساحة + +710 +00:55:10,140 --> 00:55:13,580 +من هام كلها ال bow bow diesel هذا الأحمر صح ولا + +711 +00:55:13,580 --> 00:55:18,950 +لأ؟ أي فيه تيارات بخترقها هيكونها المساحة ولا لأ؟ + +712 +00:55:18,950 --> 00:55:22,410 +طيب نجري التيار وكيف عامله هيه عامله هيك شايفين + +713 +00:55:22,410 --> 00:55:26,270 +ناسهم يعني من معنى آخر هيك في تيار وهيك في تيار + +714 +00:55:26,270 --> 00:55:31,170 +هيك في تيار وهيك في تيار هيك ماشي التيار هيك و + +715 +00:55:31,170 --> 00:55:40,910 +هيك هيك وهيك تمام؟ آه هيك ماشي بالظبط تمام هذا + +716 +00:55:40,910 --> 00:55:46,340 +التيار بالذكاء بخترق المساحة ولا بخترقهاش؟ والمساحة + +717 +00:55:46,340 --> 00:55:50,440 +اللي بتبدأ من هنا لعندها كلها هذا التيار بدناياه + +718 +00:55:50,440 --> 00:55:57,580 +ولا لأ طيب هذا بدناياه لأ حلو طيب كم تيار بدي؟ لو + +719 +00:55:57,580 --> 00:56:01,980 +عندي 100 لفة كم تيار بدي؟ 100 لفة إذا بدي عدد + +720 +00:56:01,980 --> 00:56:06,180 +التيارات .. بدي التيار في عدد اللي لفت صح ولا لأ + +721 +00:56:06,180 --> 00:56:10,920 +سؤال الأعمال لو أقولك جيبش B هنا جيب B بس هنا هذه + +722 +00:56:10,920 --> 00:56:14,140 +المساحة في تيار بخلال الخط؟ بقدر أقول B هنا بيساوي + +723 +00:56:14,140 --> 00:56:21,700 +سفر؟ آه ما فيش تيارات .. إذا بيه سفر .. طب هنا في + +724 +00:56:21,700 --> 00:56:26,080 +تيار فيه ليش؟ لإن المساحة هذه كلها بخترقها التيار + +725 +00:56:26,080 --> 00:56:29,920 +ولا بخترقهاش بس هذا بدياه وهذا بدياه ساعتها + +726 +00:56:29,920 --> 00:56:35,100 +هذا in وهذا out بيلغوا بعض ولا بيلغوش إذا برضه + +727 +00:56:35,100 --> 00:56:39,820 +بيه برا بتساوي سفر نرجع لل capacitor هذا كان إيه + +728 +00:56:39,820 --> 00:56:44,380 +برا سفر وإيه جوا سفر وهنا بيه هنا سفر وبيه هنا + +729 +00:56:44,380 --> 00:56:48,260 +سفر هنا سفر في التيارات هنا فيه تيارات بس بيلغوا + +730 +00:56:48,260 --> 00:56:54,400 +بعض زي ما هنا في شحنات لكن هذا لف هذا مفهوم؟ لكن في + +731 +00:56:54,400 --> 00:56:58,380 +نقطة هنا ما كانش فيه شحنات أصلا تمام؟ إذا معناته + +732 +00:56:58,380 --> 00:57:01,420 +this means that B is constant in magnitude along + +733 +00:57:01,420 --> 00:57:04,320 +the imperial loop and directed tangent to it + +734 +00:57:04,320 --> 00:57:08,020 +therefore at a point in time بيقول we have صافي + +735 +00:57:08,020 --> 00:57:12,820 +عند B في 2 by A بصومي ونط في عدد اللفات في I + +736 +00:57:12,820 --> 00:57:14,020 +وطلعنا + +737 +00:57:16,120 --> 00:57:21,660 +طلع نبّه طلعت برضه عشان نظمن تبعين هو إيش جميل جل + +738 +00:57:21,660 --> 00:57:26,040 +الترود هو السيلانويد صح ولا لأ أنا إيش طلعت + +739 +00:57:26,040 --> 00:57:31,760 +السيلانويد جميل أنت طلعت لي السيلانويد هيك مش هيك + +740 +00:57:31,760 --> 00:57:38,640 +صحيح طب يشوف إيش اللي صوّع هذه إيش هي على هذه طب هذه + +741 +00:57:38,640 --> 00:57:43,770 +مجتمع اعتبرها إيه؟ مظبوط ولا لأ؟ و capital N على L + +742 +00:57:43,770 --> 00:57:51,530 +مش هي small n نفس النتيجة نفس النتيجة capital N + +743 +00:57:51,530 --> 00:57:55,430 +على L مش هي small n وطول السنانويت لما نف وصي + +744 +00:57:55,430 --> 00:58:01,450 +المخيط هو 2 by R فهذه هي بالضبط mu not capital + +745 +00:58:01,450 --> 00:58:09,900 +N I على capital N وهذه هي هذه هي نفس ال .. يعني + +746 +00:58:09,900 --> 00:58:13,720 +نفسه يعني في النهاية صح الكلاب إن هو سلوك لفة بس + +747 +00:58:13,720 --> 00:58:19,600 +هنا طبعا عشان لفة بس في مشكلة في إنه بطل uniform + +748 +00:58:19,600 --> 00:58:24,180 +لإن الطول جربته إيه في كل أحوال فده كان الأطراف + +749 +00:58:24,180 --> 00:58:27,060 +بعد عني بس لما لفة الأطراف بطلوا بعدي عني جبتهم + +750 +00:58:27,060 --> 00:58:31,080 +لحالي تمام فبيبطل uniform فعشان كده يعتمد على R زي ما + +751 +00:58:31,080 --> 00:58:34,880 +إنت شايفين أما هناك كان لا يعتمد على إيش في ال + +752 +00:58:37,040 --> 00:58:39,660 +Note that the current crossing the surface several + +753 +00:58:39,660 --> 00:58:43,620 +times equal to the number of turns. بيقول إن التيار + +754 +00:58:43,620 --> 00:58:49,200 +هنا بيختلق عدة مرات بعدد اللفات. واضحة. These + +755 +00:58:49,200 --> 00:58:52,120 +results show that B is not uniform inside a toroid + +756 +00:58:52,120 --> 00:58:55,800 +.The magnetic field outside a toroid is zero. بيقول + +757 +00:58:55,800 --> 00:58:58,680 +البره ال toroid سفر. والبره ال toroid أنا أعني فيه + +758 +00:58:58,680 --> 00:59:01,520 +هنا يا شباب. هذا بره ال toroid وهذا بره ال toroid + +759 +00:59:01,520 --> 00:59:06,220 +.لإن ال toroid هيو. هذه الملف هي جوا يعني هنا بره + +760 +00:59:06,220 --> 00:59:11,240 +يعني هنا وهنا اتفقنا بره ليه سفر اتفقنا هنا لإنّه + +761 +00:59:11,240 --> 00:59:15,440 +ما فيش أصلا I هنا فيه two I's opposite to each + +762 +00:59:15,440 --> 00:59:19,680 +other برغوا بعض وبالتالي بي بره الترود سفر وجوا + +763 +00:59:19,680 --> 00:59:24,220 +ترود بتساوي مقدار معين نقلي نفور بيعتمد على R + +764 +00:59:24,220 --> 00:59:29,120 +والنتيجة اللي هي هذه أنا ما بديش أحفظها اللي هي هذه + +765 +00:59:29,530 --> 00:59:32,570 +أنا مش مقلوب مني أحفظها على بعض الطرق لكن مقلوب + +766 +00:59:32,570 --> 00:59:36,830 +مني آه كيف أجيبها فيها أيضا استفسار يا شباب إنّ + +767 +00:59:36,830 --> 00:59:40,570 +الأهل الامبيرز ينطبق بس على تمام حالات السيركت طويل + +768 +00:59:40,570 --> 00:59:44,190 +جدا السولينويد والتيرويد والسولينو + +801 +01:02:20,270 --> 01:02:24,910 +حاجة الـ magnetic flux تعرفوا الـ electric flux؟ ال + +802 +01:02:24,910 --> 01:02:28,660 +electric flux عارفين؟ طيب، هو الـEarthic Flux إيش + +803 +01:02:28,660 --> 01:02:32,860 +عرفوه؟ بيقولوا إذا كان الـEarthic Flux إيش مفهومه؟ + +804 +01:02:32,860 --> 01:02:37,720 +أيوة .. أي .. كم؟ عدد خطوط المجال التي تخترق سطح + +805 +01:02:37,720 --> 01:02:43,720 +الماء؟ جونا فيب .. في فيب مية وفي فيب هوا وفي فيب + +806 +01:02:43,720 --> 01:02:48,320 +كعربية وفي فيب مغناطيسي نفس القضية فيب كمفهوم + +807 +01:02:48,320 --> 01:02:52,300 +اختراق .. يعني لما نقول فيب المية، إيش هو؟ جدّيش في + +808 +01:02:52,300 --> 01:02:57,090 +مية تخترق سطح الماء؟ فاية كعربية جدّيش في خطوط مجال + +809 +01:02:57,090 --> 01:03:00,530 +كعربية اختراقت سطحنا طيب فاية مغناطيسي جدّيش في + +810 +01:03:00,530 --> 01:03:03,530 +خطوط مجال مغناطيسي اختراقت سطحنا إذا المفهوم ما + +811 +01:03:03,530 --> 01:03:10,030 +اتغيراش أنا هنا قولت فاية E الالكتريك سواء تركيبه + +812 +01:03:10,030 --> 01:03:17,650 +الـE دُت الـDA مظبوط ولا بقى؟ فاية مغناطيك إيه + +813 +01:03:17,650 --> 01:03:22,970 +بيكسلوا؟ ديم E وعطبي خط انتهى + +814 +01:03:24,790 --> 01:03:31,310 +لأ دي إيه؟ ها الفيض مصطلح علمي أنه دعوى باختراع + +815 +01:03:31,310 --> 01:03:35,950 +والاختراع بصير في مساحات صح ولا لأ؟ هنا أمبيرز شغل + +816 +01:03:35,950 --> 01:03:40,370 +تانية هو رجع إن الـ loop تكامل هو هو اللي يساوي في + +817 +01:03:40,370 --> 01:03:45,010 +I not في I enclosed تمام؟ أما كفيض بدوره نفس + +818 +01:03:45,010 --> 01:03:48,950 +القانون لأنه المفهوم علمي دره ما هو فيض أنه دعوى + +819 +01:03:48,950 --> 01:03:52,430 +باختراع حسب احطره طبعا اختراع دايما مصادح ممكن + +820 +01:03:52,430 --> 01:03:58,000 +نختلق خطبتدخلش علميا ولا عقليا ولا لغويا كي بده + +821 +01:03:58,000 --> 01:04:02,940 +اقترق .. لازم يكون الصدر هقترقه تمام بيقول as for + +822 +01:04:02,940 --> 01:04:07,360 +the magnetic flux the magnetic flux as for the + +823 +01:04:07,360 --> 01:04:11,460 +electric flux the magnetic flux for a surface لأن + +824 +01:04:11,460 --> 01:04:15,520 +الـ flux مرتمك بالـ surface هي المفهوم تبعه is + +825 +01:04:15,520 --> 01:04:21,820 +defined as .. ياه وليش تمام The SI unit of magnetic + +826 +01:04:21,820 --> 01:04:26,600 +flux is إيش؟ هذي تسلا على متر تربيع، بظبط ولا لأ؟ + +827 +01:04:26,600 --> 01:04:33,120 +بيسموها الـ Weber الـ Weber الـ Weber، وها دي واحدة + +828 +01:04:33,120 --> 01:04:36,460 +مراكوا حتى الـ magnetic field بيجيبوه بدلالة الـ + +829 +01:04:36,460 --> 01:04:41,280 +Weber بيقولك الـ magnetic field بيساوي Weber على + +830 +01:04:41,280 --> 01:04:43,360 +متر تربيع، لكن مش خبيرة + +831 +01:04:46,430 --> 01:04:51,350 +احنا أخدنا شغلة معينة قلنا for a closed surface + +832 +01:04:51,350 --> 01:04:55,510 +for a closed surface مش ممكن يقول هنا بيساوي q in + +833 +01:04:55,510 --> 01:05:00,970 +على epsilon one صح ولا لأ؟ وقلنا نقول لو فيش دي + +834 +01:05:00,970 --> 01:05:05,710 +شحنات جدّيش الـ flux الكهربائي على أي سطح مغلق؟ Zero + +835 +01:05:05,710 --> 01:05:08,890 +طب لو فيه شحنات واحدة موجبة واحدة سالبة، جدّيش؟ + +836 +01:05:08,890 --> 01:05:13,170 +يعني هي عندك closed surface فيه هنا إلكترون وفيه + +837 +01:05:13,170 --> 01:05:18,610 +هنا بروتون، مين يقول جدّيش الـ flux؟ Zero صح؟ فهم + +838 +01:05:18,610 --> 01:05:22,610 +مجال مستفيد، احنا بقول الـ flux احنا موضوعنا عن الـ + +839 +01:05:22,610 --> 01:05:30,860 +flux، طب حلو، في مجالجوا أي سيف اسمه مغلق يكون عدد + +840 +01:05:30,860 --> 01:05:34,920 +الأقطاب الشمالية أكثر من عدد الأقطاب الجنوبية في + +841 +01:05:34,920 --> 01:05:39,460 +مجال مستحيل مظبوط ولا لأ؟ لأن العمل متفقين في + +842 +01:05:39,460 --> 01:05:43,200 +إمكانية أن أفصل الشمال عن الجنوب؟ مافيش مجال إذا + +843 +01:05:43,200 --> 01:05:46,380 +إيش بيقولوا ليه؟ بيقولوا since no monopoles مافيش + +844 +01:05:46,380 --> 01:05:50,180 +إمكانية تجيبوا لحاله mono يعني فارض دي since no + +845 +01:05:50,180 --> 01:05:54,240 +monopole can be isolated in nature we can conclude + +846 +01:05:54,240 --> 01:06:00,860 +that 5B لأي سطح مغلق لازم يساوي zero هدفي إغلاق + +847 +01:06:00,860 --> 01:06:07,410 +هنا لأي سطح مغلق بتساوي zero إذا المقناته في + +848 +01:06:07,410 --> 01:06:10,290 +المغناطسية ما زال السطح مغلق، قدّيش تفرقص عليه، + +849 +01:06:10,290 --> 01:06:15,550 +بدون أي سبب، على طول، وانت مغمض، لأنه مافيش مجال + +850 +01:06:15,550 --> 01:06:19,710 +يكون دوة بيه سحنات أو أقطاب، إذا بديوا يكونوا في + +851 +01:06:19,710 --> 01:06:21,770 +أقطاب الشمال يبقوا جنوبي، قطعا + +852 +01:06:24,390 --> 01:06:28,950 +That is, the magnetic flux through any closed + +853 +01:06:28,950 --> 01:06:32,710 +surface is always zero في الكعبية أش كان يقول ليه؟ + +854 +01:06:32,710 --> 01:06:35,670 +The electric flux through any closed surface is + +855 +01:06:35,670 --> 01:06:39,530 +zero if q in بتساوي زيرو، مصبوط ولا؟ بس هنا ماجليش + +856 +01:06:39,530 --> 01:06:43,590 +F لأنه دايما هذه الـ F موجودة ومتحققة لأن هناك لا + +857 +01:06:43,590 --> 01:06:48,510 +مونو بولز مافيش إمكانية تجيب إنت أقطاب مفردة دائما + +858 +01:06:48,510 --> 01:06:52,570 +الشمالي والجنوب بسوء واحد وبالتالي النقطة بولز + +859 +01:06:52,570 --> 01:06:57,670 +بسوء Zero فالـ magnetic flux هذا دائما هذا اتجاههم + +860 +01:06:59,710 --> 01:07:03,550 +طبعا إيه المثل عليكي ماكملهوش بس خلينا نشوف إيش + +861 +01:07:03,550 --> 01:07:08,290 +اللي موجود بيقول find the magnetic flux through + +862 +01:07:08,290 --> 01:07:12,690 +the rectangular loop shown which lies on the right + +863 +01:07:12,690 --> 01:07:16,930 +of a long wire of current I بيقول يبدي الـ flux على + +864 +01:07:16,930 --> 01:07:20,290 +المساحة الصفراء هل المساحة مغلقة؟ + +865 +01:07:23,110 --> 01:07:26,190 +شوفوا دي باكم الـ loop المغلق غير المساحة المغلقة + +866 +01:07:26,190 --> 01:07:31,850 +الـ loop المغلقة بتحوط مساحة المساحة المغلقة بتحوط + +867 +01:07:31,850 --> 01:07:37,980 +حجما الـ loop المغلقة بتحوط مساحة بتديك مساحة لكن + +868 +01:07:37,980 --> 01:07:41,660 +المساحة المغلقة بيصيه جواهش في حجم عشان كده يقولون + +869 +01:07:41,660 --> 01:07:45,920 +الكورة غير عن الدائرة الكورة سطح مغلق لإنه جواها + +870 +01:07:45,920 --> 01:07:51,440 +حجم الاستوانة سطح مغلق لإنه جواها حجم تماما هنا + +871 +01:07:51,440 --> 01:07:56,870 +هذه مستطيل هذه loop مغلقة حدثت مساحة بس مساحة مفتوحة + +872 +01:07:56,870 --> 01:08:01,010 +مش مغلقة تمام؟ لأنه لو مساحة مغلقة كان جولة صفر و + +873 +01:08:01,010 --> 01:08:05,030 +رايحت حالي صح ولا لأ؟ تمام بيقول يأوضج الـ flux على + +874 +01:08:05,030 --> 01:08:08,530 +هذه إيش هو الـ flux بيساوي؟ عدد خطوط المجال اللي + +875 +01:08:08,530 --> 01:08:15,450 +تخترق سطح الماء وصار هي قانونها عشان + +876 +01:08:15,450 --> 01:08:19,050 +مساحة يكون عليها flux لازم يكون فيها B فيها B + +877 +01:08:19,050 --> 01:08:27,700 +المساحة هذه من وين جاي B؟ من السلك هذا صح ولا لأ مش + +878 +01:08:27,700 --> 01:08:30,580 +هذا السلك بيولد مجال مغناطيسي كيف اتجاهه على + +879 +01:08:30,580 --> 01:08:34,440 +المساحة الصفراء داخل طبعا لو المساحة الصفراء هنا + +880 +01:08:34,440 --> 01:08:39,300 +كان كيف بيصير تجاهه خارج إذا الـ flux بيجيب قيمته + +881 +01:08:39,300 --> 01:08:42,900 +وليش حق قيمته هذا سلك طويل تقدر تجيب من قيمته مش + +882 +01:08:42,900 --> 01:08:48,250 +حثق قيمته انطلع للفاكستمام لو جيه قانون الـ flux + +883 +01:08:48,250 --> 01:08:51,970 +بيقوللي هاي قانونة كده بتبدأ تحل هاي الـ flux هاي + +884 +01:08:51,970 --> 01:08:55,970 +قانونها بدك بيه in the magnetic field created by + +885 +01:08:55,970 --> 01:09:03,750 +the wire given by هذا الـ wire الأخضر سلك طويل long + +886 +01:09:03,750 --> 01:09:07,230 +wire long wire السلك الطويل إيه القيمة ممكنش حتى + +887 +01:09:07,230 --> 01:09:12,390 +ده هو طبعا هذا مش محفوظ يا بابي أعطاه لكم أعطاه + +888 +01:09:12,390 --> 01:09:18,570 +لكم كيف اتجاهه قولنا؟ هك اتجاهه ولا لأ؟ هك اتجاهه + +889 +01:09:18,570 --> 01:09:27,910 +صح طلع نبدأ نشتغل هل بقدر اطلع بيه براك بقى؟ ليه + +890 +01:09:27,910 --> 01:09:33,890 +هكذا؟ أو متغيرة فهم ماقدرش اطلع زي معناته إن إنت + +891 +01:09:33,890 --> 01:09:36,630 +ناصر عنك وانت حاسب التكامل ده كيف أحسبه؟ بدك دي + +892 +01:09:36,630 --> 01:09:40,630 +إيه؟ صح؟ بدك دي إيه؟ دي إيه إيش بتعني هناك؟ + +893 +01:09:46,990 --> 01:09:51,370 +أحسن حل رياضي يكون إنك تاخد هذه المساحة + +894 +01:09:56,100 --> 01:10:00,700 +تكامل مزدوج اللي ماخدينه كقلص متقدم دي X و دي + +895 +01:10:00,700 --> 01:10:03,760 +واي طيب واحد بيقولك طب هو إنت بيعمل إيه مش لزاجت + +896 +01:10:03,760 --> 01:10:07,120 +فيك ممكن أنا اعتبر هذه المساحة عبارة عن عصي ينبأت + +897 +01:10:07,120 --> 01:10:11,700 +إنما عصر عمودية أو عصر أفقية ولا لأ صح ولا لأ طيب + +898 +01:10:11,700 --> 01:10:13,720 +أخد عصر أفقية ولا أخد عصر عمودية + +899 +01:10:16,780 --> 01:10:20,180 +ليش؟ الأفقية بتحلل كتش المشكلة لأن الأفق يبقى + +900 +01:10:20,180 --> 01:10:25,420 +لغنجال بي متغير عليه العمودي لما تاخد عصاية زي بي + +901 +01:10:25,420 --> 01:10:30,240 +عليها ثاتة فخد عصي عموديات عشان تحللك إشكالات الـ X + +902 +01:10:30,240 --> 01:10:34,680 +و الـ Y فبيقولي the magnetic field is not constant + +903 +01:10:34,680 --> 01:10:38,660 +عشان الـ magnetic field is not constant over the + +904 +01:10:38,660 --> 01:10:41,420 +surface of the rope we have to divide the surface + +905 +01:10:41,420 --> 01:10:47,040 +لازم تجسم الـ surface لـ DA's each of area DA وهي الـ + +906 +01:10:47,040 --> 01:10:50,280 +area اللي بدي أخدها هاي الخط الأحمر هدي يزوم + +907 +01:10:50,280 --> 01:10:54,500 +المساحة ولا لأ؟ أكم خط أحمر فيه المساحة بتعمل؟ كذا + +908 +01:10:54,500 --> 01:11:01,620 +واحد فحن حاجات جدّيش DA من يقولي جدّيش DA هنا؟ جدّيش + +909 +01:11:01,620 --> 01:11:06,120 +المساحة هذه الحمراء لأن مستطيل صغير الطول في العرض + +910 +01:11:06,120 --> 01:11:12,690 +الطول بيه ولا مش بيه؟ والعرض DX ولا DR فعلا تكمل + +911 +01:11:12,690 --> 01:11:16,430 +وبعدين بتشتغلها عملها بسرعة وبعدين باعدها بيعتبر + +912 +01:11:16,430 --> 01:11:21,930 +هذه DR إذا المساحة A بيه DR ثم بيقولك هذه بتجيبتها + +913 +01:11:21,930 --> 01:11:28,830 +صارت B DR وهذه هيها عوّد فبيشوفوا الدقة production + +914 +01:11:28,830 --> 01:11:35,920 +بقى كيف بيه اتفاق من اتجاهها بيه؟ كيف اتجاهها؟ بس + +915 +01:11:35,920 --> 01:11:41,520 +الداخل مين يقول يجيديش المساحة اتجاهها؟ المساحة + +916 +01:11:41,520 --> 01:11:47,920 +كيف اتجاهها؟ مساحة الصفراء اتجاهها كيف؟ فعلا زي + +917 +01:11:47,920 --> 01:11:52,120 +اللي برا ولا اللي جوه إذا اللي جوه زي 180 في نهاية + +918 +01:11:52,120 --> 01:11:56,580 +بييتها سالب فعلا عجبا إنت هياخدها معاتدها بيه هنا + +919 +01:11:56,580 --> 01:12:01,500 +أخدتها عكس سالب مش قضية إذا بدكت بداك تروحت دي + +920 +01:12:01,500 --> 01:12:10,340 +عرفتة بمعطية بذكية كامل هاي أه ولما جيبها ذهبت + +921 +01:12:10,340 --> 01:12:15,800 +وعملت هلجيت هاي كل العراصر تبعت عشان اعرف حدود + +922 +01:12:15,800 --> 01:12:19,860 +التكامل أنا عايش بكامل في الآخر ماشي على DR من هنا + +923 +01:12:19,860 --> 01:12:26,200 +و هنا من C ل C زاد A هك بكون أنا أخدت كل المساحات + 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ولا لأ قال هذا اللوب متنفع كاش خد مستطيل ليش؟ طب ليش افرجت معاك؟ قال ليه بتفرج معايا كتير اللوب اكم ضنع لها", "tokens": [2304, 8592, 4724, 2288, 3224, 20328, 5172, 2288, 4032, 10874, 14407, 8978, 3224, 12174, 32640, 3660, 8032, 18513, 13672, 37746, 44650, 1863, 5172, 3615, 9122, 33599, 23032, 3555, 31439, 12602, 3555, 8315, 19446, 9778, 6027, 10874, 16572, 8592, 3224, 3714, 17082, 1211, 28671, 24976, 3215, 2407, 48923, 22807, 5296, 10721, 16490, 1211, 7649, 995, 3714, 14851, 9566, 26895, 49429, 5296, 10721, 50239, 23758, 13672, 37746, 44650, 1863, 5172, 3615, 9122, 33599, 16490, 3215, 3714, 14851, 9566, 26895, 32239, 8592, 22807, 23032, 3555, 32239, 8592, 1975, 5172, 47341, 2655, 20449, 995, 4117, 22807, 50239, 32239, 3224, 39894, 5172, 47341, 20449, 995, 25528, 9122, 2655, 13546, 13672, 37746, 1975, 24793, 48812, 1863, 3615, 5296, 11296], "avg_logprob": -0.33580043284516586, "compression_ratio": 1.883248730964467, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 2335.08, 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{"start": 3929.02, "end": 3929.36, "word": " مغلق", "probability": 0.9599609375}, {"start": 3929.36, "end": 3929.84, "word": " يكون", "probability": 0.87890625}, {"start": 3929.84, "end": 3930.86, "word": " عدد", "probability": 0.9498697916666666}, {"start": 3930.86, "end": 3931.6, "word": " الأقطاب", "probability": 0.9064127604166666}, {"start": 3931.6, "end": 3932.2, "word": " الشمالية", "probability": 0.98779296875}, {"start": 3932.2, "end": 3932.56, "word": " أكتر", "probability": 0.886474609375}, {"start": 3932.56, "end": 3932.64, "word": " من", "probability": 0.986328125}, {"start": 3932.64, "end": 3932.9, "word": " عدد", "probability": 0.9837239583333334}, {"start": 3932.9, "end": 3933.28, "word": " الأقطاب", "probability": 0.9816080729166666}, {"start": 3933.28, "end": 3933.88, "word": " الجنوبية", "probability": 0.9869384765625}, {"start": 3933.88, "end": 3934.92, "word": " في", "probability": 0.65380859375}, {"start": 3934.92, "end": 3935.4, "word": " مجال", "probability": 0.9918619791666666}, {"start": 3935.4, "end": 3936.42, "word": " مستحيل", "probability": 0.9349365234375}], "temperature": 1.0}, {"id": 165, "seek": 396486, "start": 3937.64, "end": 3964.86, "text": "مظبوط ولا لأ؟ لأن العمل متفقين في إمكانية أن أفصل الشمال عن الجنوب؟ مافيش مجال إذا إيش بيقولوا ليه؟ بيقولوا since no monopoles مافيش إمكانية تجيبوا لحاله mono يعني فارض دي since no monopole can be isolated in nature we can conclude that 5B لأي سطح مغلق لازم يساوي zero هدفي إغلاق هنا لأي سطح مغلق بتساوي zero", "tokens": [2304, 19913, 3555, 2407, 9566, 49429, 5296, 10721, 22807, 5296, 33456, 2423, 25957, 1211, 44650, 5172, 4587, 9957, 8978, 11933, 2304, 41361, 10632, 14739, 5551, 5172, 36520, 25124, 2304, 6027, 18871, 25724, 1863, 37746, 22807, 19446, 41185, 8592, 3714, 7435, 6027, 11933, 15730, 11933, 1829, 8592, 4724, 1829, 39648, 14407, 32239, 3224, 22807, 4724, 1829, 39648, 14407, 1670, 572, 1108, 404, 7456, 19446, 41185, 8592, 11933, 2304, 41361, 10632, 6055, 7435, 1829, 3555, 14407, 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متفقين", "probability": 0.71588134765625}, {"start": 3939.34, "end": 3939.46, "word": " في", "probability": 0.84130859375}, {"start": 3939.46, "end": 3939.94, "word": " إمكانية", "probability": 0.862548828125}, {"start": 3939.94, "end": 3940.14, "word": " أن", "probability": 0.5751953125}, {"start": 3940.14, "end": 3940.46, "word": " أفصل", "probability": 0.6890055338541666}, {"start": 3940.46, "end": 3940.9, "word": " الشمال", "probability": 0.8873697916666666}, {"start": 3940.9, "end": 3941.04, "word": " عن", "probability": 0.94140625}, {"start": 3941.04, "end": 3941.7, "word": " الجنوب؟", "probability": 0.82806396484375}, {"start": 3941.7, "end": 3942.22, "word": " مافيش", "probability": 0.81640625}, {"start": 3942.22, "end": 3942.68, "word": " مجال", "probability": 0.96484375}, {"start": 3942.68, "end": 3943.2, "word": " إذا", "probability": 0.60064697265625}, {"start": 3943.2, "end": 3943.34, "word": " إيش", "probability": 0.8893229166666666}, {"start": 3943.34, "end": 3943.72, 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{"start": 3948.26, "end": 3948.6, "word": " فارض", "probability": 0.72119140625}, {"start": 3948.6, "end": 3948.84, "word": " دي", "probability": 0.863525390625}, {"start": 3948.84, "end": 3949.74, "word": " since", "probability": 0.64501953125}, {"start": 3949.74, "end": 3950.18, "word": " no", "probability": 0.89013671875}, {"start": 3950.18, "end": 3950.72, "word": " monopole", "probability": 0.7852376302083334}, {"start": 3950.72, "end": 3950.94, "word": " can", "probability": 0.8837890625}, {"start": 3950.94, "end": 3951.14, "word": " be", "probability": 0.8984375}, {"start": 3951.14, "end": 3951.66, "word": " isolated", "probability": 0.9697265625}, {"start": 3951.66, "end": 3952.0, "word": " in", "probability": 0.962890625}, {"start": 3952.0, "end": 3952.38, "word": " nature", "probability": 0.95654296875}, {"start": 3952.38, "end": 3953.12, "word": " we", "probability": 0.82763671875}, {"start": 3953.12, "end": 3953.56, "word": " can", "probability": 0.95849609375}, {"start": 3953.56, "end": 3954.24, "word": " conclude", "probability": 0.91845703125}, {"start": 3954.24, "end": 3954.86, "word": " that", "probability": 0.95166015625}, {"start": 3954.86, "end": 3956.64, "word": " 5B", "probability": 0.380615234375}, {"start": 3956.64, "end": 3957.28, "word": " لأي", "probability": 0.9191080729166666}, {"start": 3957.28, "end": 3957.78, "word": " سطح", "probability": 0.9886067708333334}, {"start": 3957.78, "end": 3958.56, "word": " مغلق", "probability": 0.98291015625}, {"start": 3958.56, "end": 3958.96, "word": " لازم", "probability": 0.9690755208333334}, {"start": 3958.96, "end": 3959.38, "word": " يساوي", "probability": 0.826416015625}, {"start": 3959.38, "end": 3959.8, "word": " zero", "probability": 0.425048828125}, {"start": 3959.8, "end": 3960.48, "word": " هدفي", "probability": 0.4947916666666667}, {"start": 3960.48, "end": 3960.86, "word": " إغلاق", "probability": 0.81988525390625}, {"start": 3960.86, "end": 3961.08, "word": " هنا", "probability": 0.9921875}, {"start": 3961.08, "end": 3962.18, "word": " لأي", "probability": 0.9365234375}, {"start": 3962.18, "end": 3962.56, "word": " سطح", "probability": 0.99853515625}, {"start": 3962.56, "end": 3963.36, "word": " مغلق", "probability": 0.994873046875}, {"start": 3963.36, "end": 3964.32, "word": " بتساوي", "probability": 0.9632568359375}, {"start": 3964.32, "end": 3964.86, "word": " zero", "probability": 0.84521484375}], "temperature": 1.0}, {"id": 166, "seek": 398177, "start": 3965.79, "end": 3981.77, "text": "إذا المقناته في المغناطسية ما زال السطح مغلق، قدّيش تفرقص عليه، بدون أي سبب، على طول، وانت مغمض، لأنه مافيش مجال يكون دوة بيه سحنات أو أقطاب، إذا بديوا يكونوا في أقطاب الشمال يبقوا جنوبي، قطعا", "tokens": [28814, 15730, 9673, 4587, 8315, 47395, 8978, 9673, 17082, 1863, 41193, 3794, 10632, 19446, 30767, 6027, 21136, 9566, 5016, 3714, 17082, 1211, 4587, 12399, 12174, 3215, 11703, 1829, 8592, 6055, 5172, 2288, 4587, 9381, 47356, 12399, 47525, 11536, 36632, 8608, 3555, 3555, 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3968.39, "end": 3968.59, "word": " زال", "probability": 0.9921875}, {"start": 3968.59, "end": 3968.87, "word": " السطح", "probability": 0.9244791666666666}, {"start": 3968.87, "end": 3969.27, "word": " مغلق،", "probability": 0.79912109375}, {"start": 3969.27, "end": 3969.51, "word": " قدّيش", "probability": 0.690185546875}, {"start": 3969.51, "end": 3969.85, "word": " تفرقص", "probability": 0.682568359375}, {"start": 3969.85, "end": 3970.29, "word": " عليه،", "probability": 0.6937255859375}, {"start": 3970.29, "end": 3971.03, "word": " بدون", "probability": 0.9658203125}, {"start": 3971.03, "end": 3971.35, "word": " أي", "probability": 0.8896484375}, {"start": 3971.35, "end": 3972.25, "word": " سبب،", "probability": 0.9171142578125}, {"start": 3972.25, "end": 3972.65, "word": " على", "probability": 0.9033203125}, {"start": 3972.65, "end": 3973.15, "word": " طول،", "probability": 0.821044921875}, {"start": 3973.15, "end": 3973.33, "word": " وانت", "probability": 0.8904622395833334}, 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هل المساحة مغلقة؟", "tokens": [9566, 3555, 3615, 995, 1975, 1829, 3224, 9673, 12984, 1211, 25894, 4117, 1829, 19446, 24793, 43761, 2407, 8592, 4724, 3794, 16490, 1211, 9957, 995, 8717, 8592, 38688, 1975, 1829, 8592, 13672, 1829, 3714, 29245, 23328, 4724, 1829, 39648, 915, 264, 12688, 19298, 807, 264, 31167, 6367, 4898, 597, 9134, 322, 264, 558, 295, 257, 938, 6234, 295, 2190, 286, 4724, 1829, 39648, 7251, 3555, 16254, 2423, 19298, 15844, 9673, 3794, 39319, 3660, 31767, 5172, 2288, 16606, 8032, 1211, 9673, 3794, 39319, 3660, 3714, 17082, 1211, 28671, 22807], "avg_logprob": -0.2656249976293607, "compression_ratio": 1.4533333333333334, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 4019.71, "end": 4020.13, "word": "طبعا", "probability": 0.8892822265625}, {"start": 4020.13, "end": 4020.65, "word": " ايه", "probability": 0.591796875}, {"start": 4020.65, "end": 4020.89, "word": " المثل", "probability": 0.588134765625}, {"start": 4020.89, "end": 4021.19, "word": " عليكي", 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"probability": 0.6469828287760416}, {"start": 4043.57, "end": 4043.71, "word": " دي", "probability": 0.645263671875}, {"start": 4043.71, "end": 4044.05, "word": " باكم", "probability": 0.7447916666666666}, {"start": 4044.05, "end": 4044.51, "word": " اللوب", "probability": 0.767822265625}, {"start": 4044.51, "end": 4044.93, "word": " المغلق", "probability": 0.8975830078125}, {"start": 4044.93, "end": 4045.15, "word": " غير", "probability": 0.554443359375}, {"start": 4045.15, "end": 4045.69, "word": " المساحة", "probability": 0.919189453125}, {"start": 4045.69, "end": 4046.19, "word": " المغلقة", "probability": 0.9639892578125}, {"start": 4046.19, "end": 4047.35, "word": " اللوب", "probability": 0.931884765625}, {"start": 4047.35, "end": 4048.07, "word": " المغلقة", "probability": 0.85943603515625}, {"start": 4048.07, "end": 4048.67, "word": " بتحوط", "probability": 0.8260498046875}, {"start": 4048.67, "end": 4049.37, "word": " مساحة", "probability": 0.9881184895833334}, {"start": 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تمام؟ لأنه لو مساحة مغلقة كان جولة صفر و رايحت حالي صح ولا لأ؟ تمام بيقول يأوضج ال flux على هذه ايش هو ال flux بيساوي؟ عدد خطوط المجال اللي تخترق سطح الماء وصار هي قانونها عشان مساحة يكون عليها flux لازم يكون فيها B فيها B المساحة هذه من وين جاي B؟", "tokens": [5016, 3215, 12984, 2655, 47524, 39319, 3660, 4724, 3794, 47524, 39319, 3660, 3714, 5172, 2655, 2407, 5016, 3660, 37893, 3714, 17082, 1211, 28671, 46811, 10943, 22807, 5296, 33456, 3224, 45164, 47524, 39319, 3660, 3714, 17082, 1211, 28671, 25961, 10874, 12610, 3660, 20328, 5172, 2288, 4032, 12602, 47302, 33753, 11331, 6027, 1829, 20328, 5016, 49429, 5296, 10721, 22807, 46811, 10943, 4724, 1829, 39648, 7251, 10721, 2407, 11242, 7435, 2423, 19298, 15844, 29538, 1975, 1829, 8592, 31439, 2423, 19298, 4724, 1829, 3794, 995, 45865, 22807, 6225, 3215, 3215, 16490, 9566, 2407, 9566, 9673, 7435, 6027, 13672, 1829, 6055, 46456, 2288, 4587, 8608, 9566, 5016, 9673, 16606, 4032, 9381, 9640, 39896, 12174, 7649, 11536, 11296, 6225, 8592, 7649, 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تبعتي", "probability": 0.83660888671875}], "temperature": 1.0}, {"id": 183, "seek": 435416, "start": 4334.98, "end": 4354.16, "text": "عشان اعرف حدود التكامل انا عايش بكامل في الآخر ماشي على DR من هنا و هنا من C ل C زاد A هك بكون انا اخدت كل المساحات و بخلص الجواب اذا لما يكون عند بي is not uniform مضطر اجيب DA بنكمل المرة الجاية بعيدا", "tokens": [3615, 8592, 7649, 1975, 3615, 28480, 11331, 3215, 23328, 16712, 4117, 10943, 1211, 1975, 8315, 6225, 47302, 8592, 4724, 4117, 10943, 1211, 8978, 6024, 95, 34740, 3714, 33599, 1829, 15844, 12118, 9154, 34105, 4032, 34105, 9154, 383, 5296, 383, 30767, 18513, 316, 8032, 4117, 4724, 30544, 1975, 8315, 1975, 9778, 3215, 2655, 28242, 9673, 3794, 39319, 9307, 4032, 4724, 9778, 1211, 9381, 25724, 14407, 3555, 1975, 15730, 5296, 15042, 7251, 30544, 43242, 4724, 1829, 307, 406, 9452, 3714, 11242, 9566, 2288, 1975, 7435, 1829, 3555, 9578, 44945, 24793, 1211, 9673, 25720, 25724, 995, 10632, 45030, 25708, 995], "avg_logprob": -0.2571747482431178, "compression_ratio": 1.6037735849056605, "no_speech_prob": 6.639957427978516e-05, "words": [{"start": 4334.98, "end": 4335.28, "word": "عشان", "probability": 0.8753255208333334}, {"start": 4335.28, "end": 4335.54, "word": " اعرف", "probability": 0.90966796875}, {"start": 4335.54, "end": 4335.8, "word": " حدود", "probability": 0.9796549479166666}, {"start": 4335.8, "end": 4336.38, "word": " التكامل", "probability": 0.791259765625}, {"start": 4336.38, "end": 4336.94, "word": " انا", "probability": 0.6988525390625}, {"start": 4336.94, "end": 4337.16, "word": " عايش", "probability": 0.8683268229166666}, {"start": 4337.16, "end": 4337.52, "word": " بكامل", "probability": 0.804931640625}, {"start": 4337.52, "end": 4337.62, "word": " في", "probability": 0.78515625}, {"start": 4337.62, "end": 4338.0, "word": " الآخر", "probability": 0.7970377604166666}, {"start": 4338.0, "end": 4338.7, "word": " ماشي", "probability": 0.7609049479166666}, {"start": 4338.7, "end": 4338.8, "word": " على", 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4354.1595, "duration_after_vad": 4213.994718749985} \ No newline at end of file diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/MawTEu1LL_k_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/MawTEu1LL_k_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..c0c57039d3df0f3fca0f909d00129a231b15f077 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/MawTEu1LL_k_raw.srt @@ -0,0 +1,3780 @@ +1 +00:00:10,400 --> 00:00:16,040 +بسم الله الرحمن الرحيم نستأنف اخر حاجة شرحناها هي + +2 +00:00:16,040 --> 00:00:20,880 +ال force between two parallel wires نعيده بسرعة + +3 +00:00:20,880 --> 00:00:26,150 +عشان نجيب ال force between any two wiresأول حاجة + +4 +00:00:26,150 --> 00:00:29,430 +لازم نجيبها هي شدة المجال المغناطيسي اللى جاية من + +5 +00:00:29,430 --> 00:00:34,430 +واحد على التانى ثم نطبق قانون F بساوي I L cross ال + +6 +00:00:34,430 --> 00:00:39,750 +B على اعتبار ان ال B is constant فلاجينا ان القوة + +7 +00:00:39,750 --> 00:00:46,290 +اللى على I واحدبنجيبها إذا كان I1 موجود في مجال + +8 +00:00:46,290 --> 00:00:51,690 +مغناطيسي طبعا كون I1 موجود بالقرب من I2 فبالتالي + +9 +00:00:51,690 --> 00:00:56,870 +I2 بولد مجال مغناطيسي يؤثر على I1 وبالتالي I1 بصير + +10 +00:00:56,870 --> 00:01:03,060 +متأثر بقوة I2المجال المغناطيسي تبع I2 for long + +11 +00:01:03,060 --> 00:01:06,060 +wires اللى جيبناه من الفيروس السابق جيبناه من هذه + +12 +00:01:06,060 --> 00:01:11,500 +الصيغة و بعد كده جيبنا ان هذه اتجاه B out of the + +13 +00:01:11,500 --> 00:01:17,320 +bridge و بعدين طبقنا القانون F بسرعه I L خص ال B + +14 +00:01:17,320 --> 00:01:22,600 +اللى بدنا نأكد عليه ان هذا القانون شبهfor straight + +15 +00:01:22,600 --> 00:01:26,840 +wires و شرطه ان بيكون uniform القانون العام اللي + +16 +00:01:26,840 --> 00:01:34,700 +بينفع لجميع الحالات ان F بساوي I تكامل D L cross B + +17 +00:01:34,700 --> 00:01:41,710 +هذا القانون الأصلي العامconsensus تظهر مرة التكامل + +18 +00:01:41,710 --> 00:01:45,710 +إذا دي ال مش مستقيم تكاملها ال احنا متفقين فبصير + +19 +00:01:45,710 --> 00:01:49,190 +هذا القانون إذا دي ال consensus و ال مش مستقيم + +20 +00:01:49,190 --> 00:01:52,610 +فتكامل ال DNA ال شرطة إذا كنتوا ذاكرينها و ال شرطة + +21 +00:01:52,610 --> 00:01:55,310 +هي المسافر من بداية ال select لنهاية ال select لكن + +22 +00:01:55,310 --> 00:02:00,700 +هذا هو القانون العام اللي بنطبقه دائماهم منها جبنا + +23 +00:02:00,700 --> 00:02:06,020 +القانون و لجينا انه لما يقول ال two wires have + +24 +00:02:06,020 --> 00:02:09,220 +currents in the same direction they attract each + +25 +00:02:09,220 --> 00:02:16,040 +other and vice versa تمامفي المثال ان احنا حلنا + +26 +00:02:16,040 --> 00:02:21,860 +اللي هو هذا وكان مطلوب منه إيجاد القوة المغناطسية + +27 +00:02:21,860 --> 00:02:25,480 +على الدرع الفجاني طبعا لو واحد ما قلتلي اختار + +28 +00:02:25,480 --> 00:02:28,720 +الدرع الفجاني هو يقول ان انت عملت الدرع الفجاني + +29 +00:02:28,720 --> 00:02:32,580 +انت تحتاني عملتهليش ما اختارش الدلالة حدى؟ عشان + +30 +00:02:32,580 --> 00:02:36,000 +هنا فيه trick لإن لو اختار الدلالة حدى بيثابت عليه + +31 +00:02:36,000 --> 00:02:40,740 +لو اختار الدلالة حدى بيثابت عليه لكن هنا بيه مش + +32 +00:02:40,740 --> 00:02:44,880 +ثابتة وبالتالي لابد انك انت تستخدم هذا القانون + +33 +00:02:44,880 --> 00:02:49,960 +وعشان تستخدم هذا القانون دي إلا هي جزء من العنصر + +34 +00:02:49,960 --> 00:02:54,300 +بصير انت مجبر تاخد جزء من العنصرفبقول لك the wire + +35 +00:02:54,300 --> 00:03:00,300 +I1 creates a magnetic field given by IB اتجاهها + +36 +00:03:00,300 --> 00:03:04,180 +into the page عرفنا الاتجاه بقاعدة اليهدي اليمنى + +37 +00:03:04,180 --> 00:03:08,190 +انه into the page زي ما انتوا شايفين بيه واحدميو + +38 +00:03:08,190 --> 00:03:13,350 +نوت اي على اتنين باي اكس او ار او دي هذه اكس و + +39 +00:03:13,350 --> 00:03:18,090 +الدرع هنا و انا ماشي بتتغير اذا بي is not constant + +40 +00:03:18,090 --> 00:03:23,670 +بي is not constant along the side along the upper + +41 +00:03:23,670 --> 00:03:26,270 +side ما زال عامل ثابت ابقى مقدرش يطلع حد برا + +42 +00:03:26,270 --> 00:03:30,430 +التكامل بالتالي خلي التكامل زي ما هو عشان تحله + +43 +00:03:30,430 --> 00:03:33,310 +بقولك اذا معناته DL بدك تجيبها ايش يا DL يزور من + +44 +00:03:33,310 --> 00:03:36,560 +السلكلجزء من السريك جزء من الدرع الفجاني لان انا + +45 +00:03:36,560 --> 00:03:40,200 +بتعامل مع درع فجاني فكان لابد من اني اجيب درع اللي + +46 +00:03:40,200 --> 00:03:43,120 +هو زي ما انتوا شايفينه اتجاه التيار لما اتجاه + +47 +00:03:43,120 --> 00:03:47,040 +التيار ماتينياها clockwise هو I2 زي ما انتوا + +48 +00:03:47,040 --> 00:03:52,620 +شايفين ثم ساعتها بقول هنا المسافة هذه هي X في هذه + +49 +00:03:52,620 --> 00:03:57,800 +الحالة فسبرة DF بسوء I2 طبعا DF عشان اقول التكامل + +50 +00:03:57,800 --> 00:04:02,720 +بعدين بكمل DX cross P1 P1 هيها جبتها و بعد كده + +51 +00:04:02,720 --> 00:04:07,150 +كملتواتفقنا التكامل بيكون من بداية السلك لنهاية + +52 +00:04:07,150 --> 00:04:10,970 +السلك من بداية السلك لنهاية السلك بكون هذه هي جميع + +53 +00:04:10,970 --> 00:04:15,470 +العناصر المكونة للسلك المعني وفي هذه الحالة من + +54 +00:04:15,470 --> 00:04:19,770 +بداية السلك X بتكون A لنهاية السلك بتكون X A plus + +55 +00:04:19,770 --> 00:04:26,210 +B فبالتالي من A ل A زائد Bهذه هي حدود التكامل من + +56 +00:04:26,210 --> 00:04:30,230 +بداية السلك لنهاية السلك لان انا بدي قوة على كل ال + +57 +00:04:30,230 --> 00:04:34,250 +other side على كل الضلع الفجاني تبع ال wire تبع ال + +58 +00:04:34,250 --> 00:04:40,810 +loop طبعا هذه المعروفة تكملها بتطلع بهذا الشكلطبعا + +59 +00:04:40,810 --> 00:04:49,030 +هذه اخر حاجة اعملناها الان شباب amberslaw اتفقنا + +60 +00:04:49,030 --> 00:04:56,290 +بناضر قانون gauss بيوتس فارت بناضر قانون كولوم بدي + +61 +00:04:56,290 --> 00:04:59,010 +اناقش القانون gauss بس القانون gauss كان يقول + +62 +00:04:59,010 --> 00:05:08,490 +التكامل المغلق ل e dot d a بتساوي q in على epsilon + +63 +00:05:08,490 --> 00:05:09,730 +ذاكرينه + +64 +00:05:11,780 --> 00:05:17,220 +الشيهة هذه مساحة سطح جاوس، مظبط ولا لأ؟ هذه شدة + +65 +00:05:17,220 --> 00:05:21,720 +المجال الكهربائي، هذه الـQN شيهة، الشحنات اللي + +66 +00:05:21,720 --> 00:05:27,020 +داخل سطح جاوس، تمام؟ طبعا التيار ليس زي الشحنات، + +67 +00:05:27,020 --> 00:05:31,180 +الشحنات تنحصر جوا و برا، التيار بيمشي، بيخطيق + +68 +00:05:31,180 --> 00:05:36,800 +مساحات، بيكونش جوا مساحة، لأنه بيبقى ماماشيأنبيرز + +69 +00:05:36,800 --> 00:05:43,320 +إيش لجأ قال التكامل المغلقة بني الإي بيحط بيه بس + +70 +00:05:43,320 --> 00:05:48,300 +لجأ انه مش دي إيه فيه loops مغلقة فخلينا بس نكتبه + +71 +00:05:48,300 --> 00:05:52,900 +بيقولي أنبيرز لو states that إيش بنص بيقولي the + +72 +00:05:52,900 --> 00:05:58,360 +line integral حد شباب بيسموه surface integralتكامل + +73 +00:05:58,360 --> 00:06:02,440 +على سطح الان بدي اكمل على خط على line ال line + +74 +00:06:02,440 --> 00:06:09,580 +integral of B dot DL بدل E حق B و بدل D E حق D L + +75 +00:06:09,580 --> 00:06:16,100 +دي ذوق من طول مش من مساحة around any closed path + +76 +00:06:16,100 --> 00:06:20,080 +هذه around any closed surface هذهك closed path + +77 +00:06:20,080 --> 00:06:24,000 +مصار مغلق يعني المصار المغلق شباب طوله ايش بيكون + +78 +00:06:24,000 --> 00:06:34,980 +المصار المغلق ايش طولهمحيط تمام محيط equals mu not + +79 +00:06:34,980 --> 00:06:41,720 +على I احنا متفقين انه لما K تبعت كل يوم و K تبعت + +80 +00:06:41,720 --> 00:06:46,000 +بيه هذي بيساوي واحد على أربعة by epsilon not مظبوط + +81 +00:06:46,000 --> 00:06:53,080 +ل .. اللي هي K و هذي بيساوي mu not على أربعة by + +82 +00:06:53,080 --> 00:06:57,770 +شوف هنا epsilon not في المقام هذي وين صارتفي + +83 +00:06:57,770 --> 00:07:00,790 +الـBest في بين هذه و بين هذه علاقة دلوقتي عكسية + +84 +00:07:00,790 --> 00:07:05,890 +هنا إبسل نوت كان في المقام هنا هتكون في الـBest + +85 +00:07:05,890 --> 00:07:10,590 +بدا تناكس فالقانون تبقى أمبير لو رأيت بدي أحطه + +86 +00:07:10,590 --> 00:07:15,370 +رياضيا هذا هو هذا قانون أمبير نشوف إيش بيشبه جاوز + +87 +00:07:15,370 --> 00:07:20,990 +بدل E حط B حاجة الفرق الواضح بين جاوز و أمبير ان + +88 +00:07:20,990 --> 00:07:25,870 +جاوز تكاملك على سطح مغلق هنا تكاملك على مسار مغلق + +89 +00:07:26,580 --> 00:07:31,660 +على مسار مغلق بالساوي بدي الـY نوت حط الـU نوت بس + +90 +00:07:31,660 --> 00:07:34,400 +الـY نوت كانت فى المقامة ده كانت فى الـBus بدي + +91 +00:07:34,400 --> 00:07:39,300 +الـQ in حط I in او I enclosed هذه enclosed يعني + +92 +00:07:39,300 --> 00:07:44,560 +لجوه هي هي وهذه اه الـQ in لجوه بس قلّى الطيار + +93 +00:07:44,560 --> 00:07:48,540 +مقعدش مفهش تقول طيار جوه طيار برا هإيش بقول انت ال + +94 +00:07:48,540 --> 00:07:51,560 +loop اي loop بتعملها اي loop خلينا نقول loop + +95 +00:07:51,560 --> 00:07:57,270 +دائرية مش بتعمل بتقوط مساحةأي لوب بتحوط مساحة بجول + +96 +00:07:57,270 --> 00:08:00,050 +الطيار إذا اخترق هذه المساحة بالـD هو الـI + +97 +00:08:00,050 --> 00:08:03,550 +enclosed إذا الـI enclosed هو الطيار المخترق + +98 +00:08:03,550 --> 00:08:08,850 +للمساحة اللي يتحددها اللوب المغلقاه تمام الcircle + +99 +00:08:08,850 --> 00:08:11,030 +and the integral هذه شرط الcircle اللي حطيناها + +100 +00:08:11,030 --> 00:08:15,610 +يعنيأيش بتعني؟ إغلاق و هنا نفس العملية فيه circle + +101 +00:08:15,610 --> 00:08:18,570 +هنا سطح مغلق هنا Loop مغلقة + +102 +00:08:42,800 --> 00:08:46,980 +Gauss is law بقولنا بدي اختار سطح Gauss واتفقنا كم + +103 +00:08:46,980 --> 00:08:52,860 +سطح Gauss عندنا أشكالهم جاوس اتنين الأشكال اللي + +104 +00:08:52,860 --> 00:08:56,240 +بينطبق عليها قالون جاوس تلاتة لكن سطح جاوس اتفقنا + +105 +00:08:56,240 --> 00:08:59,120 +لها قرار الصوانة حتى الأشكال المسطحة بقولنا بيناش + +106 +00:08:59,120 --> 00:09:03,880 +متوازن مستطيلات لأنه بتحل المشكلة تلال الصوانة طيب + +107 +00:09:03,880 --> 00:09:07,860 +إيش ال loops المغلقة؟ إيش أشكالها في بالكم؟ إيش + +108 +00:09:07,860 --> 00:09:09,220 +مقلتكم؟ مستطيل + +109 +00:09:15,360 --> 00:09:21,800 +لأ انا بدي الان loop مغلقة مش سطح مغلق loop مصار + +110 +00:09:21,800 --> 00:09:27,420 +مصار هي مستطيل تمام او دويرة طبعا لاحد مديش هي + +111 +00:09:27,420 --> 00:09:32,820 +اعلى ده ملاوي هي مالي اشكالية تمام اذا حيكون عندي + +112 +00:09:32,820 --> 00:09:36,180 +انا بس شكلين اما دويرة او مستطيل طبعا المربع ماهو + +113 +00:09:36,180 --> 00:09:40,900 +مستطيل هي هيبقول light gauss's law زي ما كان في + +114 +00:09:40,900 --> 00:09:43,880 +gauss's law أنا إيش كنت استخدم gauss's law أهمية + +115 +00:09:43,880 --> 00:09:47,700 +gauss's law إذا كانت بيخلّيني أعرف أحسب إيه أحسب + +116 +00:09:47,700 --> 00:09:51,680 +إيه بقول لي light gauss's law بيوصف له of Ampère's + +117 +00:09:51,680 --> 00:09:55,720 +law is in calculating the magnetic field أهميته + +118 +00:09:55,720 --> 00:10:00,740 +إنه بيحسبني قيمة B بس وقت إيش جالي بشرط إن التكامل + +119 +00:10:00,740 --> 00:10:06,610 +هدى تقدر تحللهتمام؟ وهذا التكامل أسهل حلّين إله + +120 +00:10:06,610 --> 00:10:12,130 +أول حل إن بيكون برا يعني يكون بي ثابت أو إذا هذا + +121 +00:10:12,130 --> 00:10:15,190 +ماتثابت خلّي هذا كله يكون Zero و وقت إيش هذا + +122 +00:10:15,190 --> 00:10:18,770 +ماتكون Zero إذا هذا و هذا متعمدين صح ولا لأ؟ إذا + +123 +00:10:18,770 --> 00:10:25,570 +متعمدين كل التكامل بروح صفر تمام إذا بيقولّي like + +124 +00:10:25,570 --> 00:10:29,630 +Gauss's law the useful of Ampere's law is in + +125 +00:10:29,630 --> 00:10:33,630 +calculating the magnetic fieldلتفعل هذا، يجب أن + +126 +00:10:33,630 --> 00:10:36,610 +يكون ملاحظة التفاصيل التالية. طب احنا اتفقنا ان + +127 +00:10:36,610 --> 00:10:41,410 +القانون gauss قاسر. ليش؟ لأنه ممكن تحل التكامل إلا + +128 +00:10:41,410 --> 00:10:45,870 +في حالات خاصة. ممكن تجيب سطح مغلق بحيث أنه يكون + +129 +00:10:45,870 --> 00:10:50,750 +مستمر عليه إلا في تلت حالات مافيش لهم رابع.الأشكال + +130 +00:10:50,750 --> 00:10:54,550 +القروية بكل أنواعها ووحجمها، الأشكال الأسطوانية + +131 +00:10:54,550 --> 00:10:58,770 +الطويلة جدا، والأشكال المسطحة الكبيرة جدا.ان بيرز + +132 +00:10:58,770 --> 00:11:02,910 +قال لك نفس القضية، أنا لأ أنطبق على جميع الأشكال، + +133 +00:11:02,910 --> 00:11:06,870 +بيقول لي عشان كده The closed loop must be chosen + +134 +00:11:06,870 --> 00:11:13,270 +such that the integralالتكامل الان صار بي dot ال + +135 +00:11:13,270 --> 00:11:18,290 +dl بيسوي new node I enclosed هاي قانونه بقول يا ال + +136 +00:11:18,290 --> 00:11:21,850 +loop بيجي تختارها بحيث ان بي كان easy to be + +137 +00:11:21,850 --> 00:11:26,290 +computed ان التكامل هذا تحسبه بسهولة either بي is + +138 +00:11:26,290 --> 00:11:30,110 +constant وهذا وقت ايش بيصير سهل اما بيكون ثابته + +139 +00:11:30,110 --> 00:11:33,910 +وطلع حضرة ايش بيكون يوم التكامل ضل ايش تكامل ال dl + +140 +00:11:33,910 --> 00:11:41,030 +سهل صارتذا إن كلها يتكلموا لـ Zero أو كله Zero + +141 +00:11:41,030 --> 00:11:44,370 +طبعا اتفقنا إن Zero ممكن يكون الـ product بالديني + +142 +00:11:44,370 --> 00:11:50,250 +Zero طيب إذا أنا هذي هو شرطي for the above not to + +143 +00:11:50,250 --> 00:11:53,690 +be satisfied وهذا الشرط اتحقق بيقول الـ Ampere's + +144 +00:11:53,690 --> 00:11:56,930 +law is applicable only for current distribution of + +145 +00:11:56,930 --> 00:11:59,770 +high degree of symmetry وبالتالي لا تستطيع تطبيق + +146 +00:11:59,770 --> 00:12:04,890 +قانون Ampere إلا بحالات السمتري العالي والسمتري + +147 +00:12:04,890 --> 00:12:09,340 +العالي بتحقق بس في تلت حالات شبابالسلك الطويل جدا + +148 +00:12:09,340 --> 00:12:14,740 +زي جوس السلك الطويل جدا ونوعين من الملفات الملف + +149 +00:12:14,740 --> 00:12:20,300 +الحمزوني كيف حمز الملف الدائرة شباب هذا ملف + +150 +00:12:20,300 --> 00:12:24,080 +بيسموله ملف حمزوني هذا عشان نشوف بيكون بيه فيه + +151 +00:12:24,080 --> 00:12:27,880 +ممكن تستخدم عليه قانون أنبياء وفي ملف تاني ملف + +152 +00:12:27,880 --> 00:12:32,280 +غالبا في كل كتير الشغلات بتشوفوها سلك ملفوف حوالين + +153 +00:12:32,280 --> 00:12:36,630 +دورةهذا ملف داعي لكتير من الملفات الطبيعية اللي + +154 +00:12:36,630 --> 00:12:41,610 +موجودة النحاسية هذا بيسموه برضه ملف toroidal برضه + +155 +00:12:41,610 --> 00:12:45,780 +هذا بينطبق عليه واحدة واحدةتمام بيقول زي أنك كنت + +156 +00:12:45,780 --> 00:12:49,460 +كيف تختار السطح ده عرض تختار كرة طب الكرة هذه + +157 +00:12:49,460 --> 00:12:52,060 +تحطها عشوائية و لازم النقطة تكون موجودة على سطحها + +158 +00:12:52,060 --> 00:12:55,020 +مشكلة النقطة لازم تكون على سطحها و هنا اللوب اللي + +159 +00:12:55,020 --> 00:12:58,400 +بتختارها لازم النقطة تكون موجودة على محيطها the + +160 +00:12:58,400 --> 00:13:01,320 +point at which B to B calculated must lie in the + +161 +00:13:01,320 --> 00:13:03,980 +circumference of that loop لازم النقطة اللي انت + +162 +00:13:03,980 --> 00:13:07,960 +بدك تجيب عندها B تكون موجودة على محيط هذه اللوب + +163 +00:13:07,960 --> 00:13:13,580 +المغلقة تمام قلينا الحين مثالأذا انا عندي ينطبق + +164 +00:13:13,580 --> 00:13:16,560 +قانون الامبير على ثلاث حالات شباب الأسلاك الطويلة + +165 +00:13:16,560 --> 00:13:19,520 +جدا ال solenoid نوع من أنواع الملفات و ال toroid + +166 +00:13:19,520 --> 00:13:22,040 +نوع من أنواع الملفات غير كده لا ينطبق قانون + +167 +00:13:22,040 --> 00:13:28,440 +الامبير فبالتالي قصوره واضح ومافيش فيه قد حالات + +168 +00:13:28,440 --> 00:13:31,420 +الحالات الوحيدة اللي ينطبق عليها هم هدول مافيش + +169 +00:13:31,420 --> 00:13:34,960 +مجال نجيب نطبق قانون الامبير على تلات حالات هدول + +170 +00:13:38,420 --> 00:13:42,580 +Gorse بينفعش، Ring بينفعش، فهمتوا عليا؟ احنا حلينا + +171 +00:13:42,580 --> 00:13:46,380 +على باصة بيوت صبارت تلت أنف لشباب، جيبنا سلك طول + +172 +00:13:46,380 --> 00:13:50,420 +اتنين L، كان سلك اتنين طوله L، خلّط عليه بيوت + +173 +00:13:50,420 --> 00:13:54,560 +أنصار، بينفع تطبق أنبير؟ لأ، لأنه مش طويل جدا، + +174 +00:13:54,560 --> 00:13:58,860 +أعملت الcourse هذا، ذاكرينه؟ جيبته، بينفع أنبير؟ + +175 +00:13:58,860 --> 00:14:04,140 +بينفعشالشغال تاني ring وعنده نقطة هالى بنفع أمبير + +176 +00:14:04,140 --> 00:14:09,900 +برضه بنفعش إذا الامبير السلك هذا إذا طويل جدا بنفع + +177 +00:14:09,900 --> 00:14:15,040 +تحل غير هيك بنفعش تحله هنا بيقولي a long straight + +178 +00:14:15,040 --> 00:14:19,280 +wire long عشان تجي تتطبيق عليها قانون أمبير a long + +179 +00:14:19,280 --> 00:14:23,640 +straight wire of radius capital R carries a steady + +180 +00:14:23,640 --> 00:14:27,670 +current Iو يحمل تيار و التيار uniformly + +181 +00:14:27,670 --> 00:14:30,950 +distributed across الداوير و موزع بانتظام جوا + +182 +00:14:30,950 --> 00:14:34,850 +السلك طبعا يا شباب هذا سلك خميل هجيت أي سلك كهربا + +183 +00:14:34,850 --> 00:14:38,930 +خميل من النص فاضي بيكون لأ مصمم في انحاس و في + +184 +00:14:38,930 --> 00:14:43,250 +المكان فالتك من ال plastic و في المكان في انحاس و + +185 +00:14:43,250 --> 00:14:48,130 +في كهربا تمامFind the magnetic field outside and + +186 +00:14:48,130 --> 00:14:51,430 +inside the wire بس نرسم الرسم هاي السلك هذا كله + +187 +00:14:51,430 --> 00:14:55,970 +سلك من انحاس بيحمل طيار بهذا الشكل طبعا الطيار + +188 +00:14:55,970 --> 00:14:59,670 +موزع بين تراما انا حاطيت هدول لكن هنا في طيار او + +189 +00:14:59,670 --> 00:15:02,510 +هنا في طيار و هنا في طيار واضح فهذا مليئ ان كله + +190 +00:15:02,510 --> 00:15:06,750 +طيار و اما تقط أصبعك تتكعب فيه كهربا تمام؟ بده شدة + +191 +00:15:06,750 --> 00:15:09,510 +المجال المغناطيسي مش هدا طيار بولد مجال مغناطيسي + +192 +00:15:10,240 --> 00:15:13,740 +المجال المناطنيسي بيقول احسب ليه عن نقطة برا وعن + +193 +00:15:13,740 --> 00:15:18,720 +نقطة جوه برا يعني لا هنا لا هنا طب جوه هنا صح ولا + +194 +00:15:18,720 --> 00:15:23,190 +بدي بيه هنا شوف ايه جدش قيمتهطبعا؟ ايش عمال جالها + +195 +00:15:23,190 --> 00:15:26,690 +ده؟ long straight way الـ long و عادى بشوف انا + +196 +00:15:26,690 --> 00:15:32,110 +وياكم انه ليش الـ long بطلع بيه ثابت عليه بيه ثابت + +197 +00:15:32,110 --> 00:15:35,810 +عليه انا بدي اجيب شدة المجال اللي مغلطيسي شباب لا + +198 +00:15:35,810 --> 00:15:40,730 +هنا لا هنا ايه هسوي؟ انا اختار ال loop مغلقة ال + +199 +00:15:40,730 --> 00:15:44,390 +loop المغلقة اللي بتختارها الآن شرطها انه بيكون + +200 +00:15:44,390 --> 00:15:48,550 +ثابت عليها يكون بيه ثابت عليها يجى واحدة واحدة، + +201 +00:15:48,550 --> 00:15:54,740 +ذاكين هذى؟ high silkوها دي loop ولا مش loop طول ما + +202 +00:15:54,740 --> 00:16:00,260 +انت ماشي هيك بيه بتتغير؟ اذا لو اختارت loop دويرة + +203 +00:16:00,260 --> 00:16:04,080 +بيه بتكون ثابتة عليها ولا ماتثابتة؟ ليش؟ انك انت + +204 +00:16:04,080 --> 00:16:07,980 +على أبعاد متسوية من السلك ولا لأ؟ لو أخدت loop + +205 +00:16:07,980 --> 00:16:12,960 +مستطيل بتظبط معاك؟ ماتظبطش لأن هاي السلك شوف انت + +206 +00:16:12,960 --> 00:16:17,280 +لما يكون مستطيل عن هاي loop صح؟ يعني طول ما انت + +207 +00:16:17,280 --> 00:16:21,820 +ماشي هيك تبعد و بتجرب عن السلكب من الثابتة طب وانت + +208 +00:16:21,820 --> 00:16:25,120 +ماشي هيك بتبعدي و بتقرب ها أنا قريب هنا ابعدت هنا + +209 +00:16:25,120 --> 00:16:29,300 +ابعدت نفس العملية لما تاخد جلوب مستطيل ب من + +210 +00:16:29,300 --> 00:16:35,240 +الثابتة هذا يجب ان تطلع برا لكن خد دورة طول ما انت + +211 +00:16:35,240 --> 00:16:38,760 +ماشي هيك بتقرب ولا تبعدي عن السلك اذا ب ثابتة و لا + +212 +00:16:38,760 --> 00:16:45,040 +من الثابتة ب ثابتة طيب كمان مرة لو بدي اجيب اتجاه + +213 +00:16:45,040 --> 00:16:47,880 +بي هذه السلك وهذه الطيارة كيف اتجاه بي + +214 +00:16:51,570 --> 00:16:55,210 +مظبوط ولا لأ؟ طيب و ال loop اللى بدي اخدها هي + +215 +00:16:55,210 --> 00:17:00,370 +نفسها جديش المسافة الجزاوية بين طول ال loop هذه و + +216 +00:17:00,370 --> 00:17:04,570 +اتجاه المجال ليش؟ + +217 +00:17:04,570 --> 00:17:10,440 +مماسما هي طول اللوب مماس و المجال المعاطيسي مماس + +218 +00:17:10,440 --> 00:17:14,520 +إذا كانتش زوايا بينهم زي بعد سفر و cosine السفر + +219 +00:17:14,520 --> 00:17:19,080 +واحد إذا كنت بسوي بقول انا اول حاجة بدي اختار + +220 +00:17:19,080 --> 00:17:23,320 +اللوب solution for the outside region for the + +221 +00:17:23,320 --> 00:17:27,480 +outside region let us choose a circular loop بدي + +222 +00:17:27,480 --> 00:17:30,180 +اختار circular loop واتفقنا ان ال circular مش + +223 +00:17:30,180 --> 00:17:34,680 +مستطيل of radius R around the wire هي اللوب اللي + +224 +00:17:34,680 --> 00:17:40,200 +اخترتهاهيجيج بهذا الاتجاه عند أعلى نقطة كيف اتجاه + +225 +00:17:40,200 --> 00:17:46,740 +المجال المناطيسي عليكم أو عند أعطاء نقطة هنا يعني + +226 +00:17:46,740 --> 00:17:52,740 +هيك و هيك صح او لأ طيب هذه هي اتجاه المجال + +227 +00:17:52,740 --> 00:17:58,620 +المناطيسي اتفقنا هذه هيك وهذه هيك صح هيك تمام لان + +228 +00:17:58,620 --> 00:18:04,160 +انا هيك اشتغلنا تمام بدي DL هذه DL اللي هو بنفس + +229 +00:18:04,160 --> 00:18:11,870 +اللي رسمتها اناDL جزء من محيط واتجاه المحيط مماسات + +230 +00:18:11,870 --> 00:18:17,510 +ايش المماس اللى بتعمل عندها دى النقطة برضه عليكم و + +231 +00:18:17,510 --> 00:18:20,690 +ايش المماس اللى بتحطوا عليها برضه هي اذا معناته + +232 +00:18:20,690 --> 00:18:24,510 +الزاوية سفر طبعا او 180 اذا واحد يقول انت ليش عمل + +233 +00:18:24,510 --> 00:18:27,390 +تمه على الطريقة حتى لو كانت 180 مايكسان سفر واحد + +234 +00:18:27,390 --> 00:18:30,830 +وكسان مية تمانين ماقص واحد مش قضية اتجاه تمه + +235 +00:18:33,900 --> 00:18:39,380 +هذه خانون امبير بي ضد ال دي ال بقدر ال ام اضمن ان + +236 +00:18:39,380 --> 00:18:40,960 +بي is constant ولا لأ + +237 +00:18:43,640 --> 00:18:47,220 +نقول من الاسمترى نرى أن P يجب أن يكون مستمر في + +238 +00:18:47,220 --> 00:18:50,660 +المجموعه إذا هنا خانون أمير بتقدر يتطبقوا أن P + +239 +00:18:50,660 --> 00:18:56,400 +مستمر في المجموعه وTangent لكل مقاطع في المقاطع + +240 +00:18:56,400 --> 00:19:01,460 +وبرضه تانجنت تما Thus at every point the angle θ + +241 +00:19:01,460 --> 00:19:07,100 +between P and DL is zero وكسيم الزيرو واحد بسيطة + +242 +00:19:07,100 --> 00:19:11,980 +إذا صارت بيطلعتها برا التكامل ال data product روحت + +243 +00:19:11,980 --> 00:19:16,760 +ايش تكامل دي ال ال ال مين لل loop اللي اخترتها + +244 +00:19:16,760 --> 00:19:21,880 +دويرة في حد عارفش طول الدويرة مش المحيط اتنين by ا + +245 +00:19:21,880 --> 00:19:25,580 +بس هو من نفسي I enclosed نيجي ل I enclosed ايه + +246 +00:19:25,580 --> 00:19:30,680 +اعرف ليها لفظة اللي هي التيارات اللي تخترق المساحة + +247 +00:19:30,680 --> 00:19:34,360 +اللي حددتها ال loop ال loop اللي رسمتها حدث + +248 +00:19:34,360 --> 00:19:38,080 +للمساحة الصفراء ولا لأشايفين مساحة الصفراء أنا بدي + +249 +00:19:38,080 --> 00:19:41,380 +الطيارات اللتي تخترق المساحة الصفراء هذه الطيارات + +250 +00:19:41,380 --> 00:19:48,880 +في واحد منهم مخترقش كلهم بديهم هذا هو ال total + +251 +00:19:48,880 --> 00:19:52,980 +current ولا لأ هذا ال total current اه في واحد + +252 +00:19:52,980 --> 00:19:58,690 +بجثثنيلأ كله بدية لان يقولي I enclosed هو ال total + +253 +00:19:58,690 --> 00:20:03,770 +current crossing the area bounded by the loop ال + +254 +00:20:03,770 --> 00:20:06,890 +area ال bounded by the loop الصفراء اول ما اعمل + +255 +00:20:06,890 --> 00:20:11,210 +loop بقول هو المسافر علي بديها اي تيار بيخترقها + +256 +00:20:11,210 --> 00:20:15,830 +بيضل من ضمن I enclosed هنا نجيت ان كل التيارات + +257 +00:20:15,830 --> 00:20:20,730 +تخترقها خدهم كلهم كلهم الدكية هي قيمتهم I واضح + +258 +00:20:20,730 --> 00:20:26,560 +شباب؟ هي I enclosedطبعا إذا معناته بيقول لـ I + +259 +00:20:26,560 --> 00:20:34,080 +enclosed هي I في إشكالية خلاص طلعت جواب مش بده بيه + +260 +00:20:34,080 --> 00:20:39,980 +ايه بيه طلعت بيه وهذه أنا طلعتها أنا وياكم بواسط + +261 +00:20:39,980 --> 00:20:43,800 +بيئة أنصار لما طلعت لاتنين ال وقلت خلّي ال جوز ثم + +262 +00:20:43,800 --> 00:20:48,720 +لنهاية أو طلعت النتيجة نفسهاNote that this result + +263 +00:20:48,720 --> 00:20:53,180 +agree with that of example 8.1 in the limit of + +264 +00:20:53,180 --> 00:20:55,780 +long wire لما عملتي limit long wire طلعت نفس + +265 +00:20:55,780 --> 00:20:59,900 +النتيجة كانت أيامها نفس القضية كانت D بدل R اظنني + +266 +00:20:59,900 --> 00:21:03,740 +بس بدل R كانت D المسافة لان انا ايامها كان في عندي + +267 +00:21:03,740 --> 00:21:08,500 +سلك هيك وكان ال نقطة هنا و هذه اظنني كانت D و هذه + +268 +00:21:08,500 --> 00:21:12,880 +اقوله 2Lلما خدت كوابة من ناقص L ل L إذا كنت ذاكرين + +269 +00:21:12,880 --> 00:21:16,280 +بعدين قولنا هذا صدق جرسيا طب كيف بيكون طويل و نلتق + +270 +00:21:16,280 --> 00:21:19,880 +الجرس تماما نهاية طلعنا نتيجة هذه كذبط طلعت معايا + +271 +00:21:19,880 --> 00:21:25,640 +Mu not I على 2 by D هي كذبط طلعت طبعا بدل D هنا + +272 +00:21:25,640 --> 00:21:29,680 +هناك ايش فيه R بس مش أكتر طلعت نفس النتيجة طبعا في + +273 +00:21:29,680 --> 00:21:35,520 +نهاية and bears low هيوم بيمليش السطر and bears + +274 +00:21:35,520 --> 00:21:39,980 +low بطلع نتيجة بدون ميملي السطربيوت أنصارك بنكامل + +275 +00:21:39,980 --> 00:21:43,860 +و نعمل و نسوي و نشتغل و التكامل سهل و التكامل صعب + +276 +00:21:43,860 --> 00:21:48,060 +و بتطلعنا نتيجة في الآخر صحيح لكن بده صفحة على أقل + +277 +00:21:48,060 --> 00:21:53,700 +حل و هذا بده أقل من سطر عشان نطلع نفس النتيجة مع + +278 +00:21:53,700 --> 00:21:57,320 +الأسف أن بير من سهولته مع سهولته لاينطبق على جميع + +279 +00:21:57,320 --> 00:22:01,760 +الأشكال أى المشكلة وبالتالي لما ينطبق سهل مينطبقش + +280 +00:22:01,760 --> 00:22:07,210 +فيه إشكالية تمام فيها استفسار هنا؟بنشوف الجواب + +281 +00:22:07,210 --> 00:22:10,150 +التاني .. المقلب التاني بده جوا .. نقطة جوا يا + +282 +00:22:10,150 --> 00:22:15,450 +بابا .. بده هنا نقطة اللوب اللي أنا رسمها بنفح + +283 +00:22:15,450 --> 00:22:18,830 +هالجهة لازم يكون النقطة على المحيط .. إذا بداك + +284 +00:22:18,830 --> 00:22:21,990 +اللوب صغيرة هالجهة صح ولا لأ .. خطأ اللوب تاني .. + +285 +00:22:21,990 --> 00:22:28,010 +بسيطة .. بقول هي السلك .. رجعنالهللنقطة داخل + +286 +00:22:28,010 --> 00:22:32,510 +الوير، اللوب الوري في هذه الحالة لديه راديوس R أقل + +287 +00:22:32,510 --> 00:22:33,310 +من كابيتل R + +288 +00:22:39,110 --> 00:22:43,610 +هذه النقطة عالمية جبت لل loop هنا نفس القضية P is + +289 +00:22:43,610 --> 00:22:47,810 +constant لأنها نفس العملية على بعاد متساوية again + +290 +00:22:47,810 --> 00:22:52,090 +by symmetry P is constant in magnitude and tangent + +291 +00:22:52,090 --> 00:22:54,690 +to the loop at every point in the loop زي ما هنا + +292 +00:22:54,690 --> 00:22:58,870 +tangent و ثابتة to find the current المشكلة I + +293 +00:22:58,870 --> 00:23:03,610 +enclosedI enclosed كل التيارات بدي اياهم هل كل + +294 +00:23:03,610 --> 00:23:06,630 +التيارات اللي انا نصمهم هدول الاسهم بيخترقوا + +295 +00:23:06,630 --> 00:23:12,910 +المساحة الصفراء انا بس بدي هدول صح بدي بس هدول + +296 +00:23:12,910 --> 00:23:20,070 +اللي جاعدين بيربصوش بيدي اياهم بيخترقوش المساحة طب + +297 +00:23:20,070 --> 00:23:22,610 +هل بدي اخد تلاتة و هم يهديوا تلاتة عشوائي ان انا + +298 +00:23:22,610 --> 00:23:24,770 +اعمل التلاتة ممكن يكونوا ع دول مية زيهم + +299 +00:23:27,710 --> 00:23:30,810 +بدي اخد جزء من كله ولا لا؟ انا بدي اخد جزء من + +300 +00:23:30,810 --> 00:23:34,210 +التيار مش كل التيار لأن هذا التيار بدي شياه فبقول + +301 +00:23:34,210 --> 00:23:38,610 +لهان بدي شياه بقول لهان بدي شياه بس بدي انا من هال + +302 +00:23:38,610 --> 00:23:42,370 +لهان المحصور اذا انا بدي جزء من التيار مش كل + +303 +00:23:42,370 --> 00:23:47,150 +التيار في gauss's law لما كنا بنجيب جزء من شحنة + +304 +00:23:47,150 --> 00:23:52,230 +ايه كنا نسوي؟ lambda و sigma و rho مظبط ولا لأ؟ + +305 +00:23:52,230 --> 00:23:55,350 +كنا نروح لل densities في التيار في density خدناها + +306 +00:23:55,350 --> 00:23:59,390 +في الشبطة الخامس وحيدةاللي هي مين ذكر للقرن الدي + +307 +00:23:59,390 --> 00:24:07,650 +نسيت ايش رمزها القرن J ايه بتساويI على A I على A + +308 +00:24:07,650 --> 00:24:11,810 +إذا مافيش N دي إلا J مافيش Lambda ولا Rho بس واحدة + +309 +00:24:11,810 --> 00:24:15,730 +بتقابل Sigma منها J بيسوي طيارة على مساحة واش + +310 +00:24:15,730 --> 00:24:19,250 +المساحة كانت ال cross-sectional area زي كل ما قلنا + +311 +00:24:19,250 --> 00:24:23,390 +مصورة فيها ميه وميه بتخترق مساحات إذا بيقولي to + +312 +00:24:23,390 --> 00:24:26,590 +find the current enclosed by the loop we note that + +313 +00:24:26,590 --> 00:24:33,350 +Jقال لي جي بالثانوية الطيار ال enclosed على + +314 +00:24:33,350 --> 00:24:41,070 +المساحة ال enclosed كيف بتطبح طب هدى جي بدي درساله + +315 +00:24:41,070 --> 00:24:50,710 +I total على أي مساحة ساعتها total بتكتب هي طيب مين + +316 +00:24:50,710 --> 00:24:55,450 +يقولي كده I enclosed مساحة أي حاجة هناك مش المساحة + +317 +00:24:55,450 --> 00:25:00,620 +السافرةطب و المساحة كلها الخضراء اللى بقى ال + +318 +00:25:00,620 --> 00:25:07,700 +capital R تربية تم جيه بيساوي I total على E total + +319 +00:25:07,700 --> 00:25:11,720 +و E total بيه R تربية الخضراء و بتساوي طبعا ليش + +320 +00:25:11,720 --> 00:25:15,640 +بتساوي لإن جيه uniform جيه uniform لإن الطيارة + +321 +00:25:15,640 --> 00:25:19,680 +uniformly distributed I enclosed على بيه R تربية + +322 +00:25:19,680 --> 00:25:22,740 +بقدر أجيب I enclosed هذه في هذه على هذه مظبوط ولا + +323 +00:25:22,740 --> 00:25:26,720 +لأ هاي نطلعتههي I enclosed المشكلة كانت في I + +324 +00:25:26,720 --> 00:25:30,440 +enclosed وجبتها جبت جزء من التيار جزء من التيار + +325 +00:25:30,440 --> 00:25:33,160 +هيو بعد كده روحت قانون أنبالي بيقول هي قانون + +326 +00:25:33,160 --> 00:25:39,400 +أنبالي تكامل B.DL بيساوي ميوناط I enclosed طيب B + +327 +00:25:39,400 --> 00:25:45,300 +طلعته برا التكامل ال product روحت لأنه 0 0 وcos 01 + +328 +00:25:48,060 --> 00:25:54,220 +DL تكامل الـ2π في الـR الـU0 في I enclosed وهي I + +329 +00:25:54,220 --> 00:25:59,060 +enclosed طبعا هنا فيه ميو نوت منسية بدي ال I + +330 +00:25:59,060 --> 00:26:06,900 +enclosed حطيتها طلعتي جون هاي جون طلع حلص الشعربعد + +331 +00:26:06,900 --> 00:26:12,400 +النقطة عن محور .. عن المركز طب سؤالي الآن لو كانت + +332 +00:26:12,400 --> 00:26:15,180 +النقطة في المركز بالظبط إيه اللي بيطلع الجواب Zero + +333 +00:26:15,180 --> 00:26:20,860 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +334 +00:26:20,860 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +335 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +336 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +337 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +338 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +339 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +340 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +341 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +342 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +343 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +344 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +345 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +346 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +347 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +348 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +349 +00:26:23,380 --> 00:26:23,380 +Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero + +350 +00:26:23,380 --> 00:26:28,460 +Zero Zero Zero Zeroهو المركز ايش مشكلته؟ مشكلته + +351 +00:26:28,460 --> 00:26:31,680 +انه بيجعب النص فيه عنده كذا واحد لفوق وكذا واحد + +352 +00:26:31,680 --> 00:26:34,560 +لتحت هل اللي فوق اكتر من اللي تحت ولا اللي تحت + +353 +00:26:34,560 --> 00:26:39,940 +اكتر من اللي فوق؟ جبعت حلو هذا بيعني ان اللي فوق + +354 +00:26:39,940 --> 00:26:42,700 +بدي اعطي اتجاه و اللي تحت بدي اعطي اتجاه معاكس ولا + +355 +00:26:42,700 --> 00:26:45,410 +لأ؟خلّيني أجرب كل هؤلاء اللي واقفين هنا على + +356 +00:26:45,410 --> 00:26:50,050 +الحياطة هاي اتنين، هدور اتنين، فيه طير زيهم بس كل + +357 +00:26:50,050 --> 00:26:53,650 +واحد فور، في واحد تحت زيه ولا لأ؟ مين يجيب لاتجاه + +358 +00:26:53,650 --> 00:26:56,470 +المجال المناطسي لللي فوجاني عند النقطة في المركز + +359 +00:26:56,470 --> 00:27:06,410 +هنا؟ طب وهدي، هدا صح + +360 +00:27:06,410 --> 00:27:11,200 +ولا لأ؟ بالغباعة ده لا بالغشفة عاديهل جيت اي اثنين + +361 +00:27:11,200 --> 00:27:16,320 +واحد فوق واحد تحت مشابه بيبقوا بعض ولا لأ اذا انا + +362 +00:27:16,320 --> 00:27:20,180 +بتوقع عندي السمثر يكون سفر ولا بتوقعش بفور يكون + +363 +00:27:20,180 --> 00:27:24,060 +سفر والنتيجة بتعطيني سفر اصلا اذا ال symmetry + +364 +00:27:24,060 --> 00:27:28,240 +بيقول لازم عندي السفر تطلع سفر زي ما انا كاتب at r + +365 +00:27:28,240 --> 00:27:30,800 +بيتساوي السفر the magnetic field inside the + +366 +00:27:30,800 --> 00:27:34,900 +conductor is zero ويكسبلين وقولنا ليش explanation + +367 +00:27:34,900 --> 00:27:37,380 +لأن ال symmetry ان every + +368 +00:27:43,840 --> 00:27:47,520 +بالتالي الـ total magnetic field at the center + +369 +00:27:47,520 --> 00:27:52,690 +must be zeroفي إشكالية إذا هاتجيب طلعناها برا + +370 +00:27:52,690 --> 00:27:57,330 +وطلعناها جوا وهي جوا بهذه الصيغة و برا طلعناها ولا + +371 +00:27:57,330 --> 00:28:02,010 +واحدة بدنا نحفظها أصلا هذه جاية نتيجة مثال طبقنا + +372 +00:28:02,010 --> 00:28:06,590 +قانون empire على ال long wires ال long wire شرطه + +373 +00:28:06,590 --> 00:28:10,370 +يكون long بتطبق empires جسير بيدروح أطبق عليه ال + +374 +00:28:10,370 --> 00:28:14,640 +bayonet and savard longلازم يكتب لـ long wire او + +375 +00:28:14,640 --> 00:28:17,400 +very long او infinitely long غير كده ماقدرش اطبق + +376 +00:28:17,400 --> 00:28:22,320 +قانون أمبير شبهك اذا شرط تطبيق قانون أمبير ان يكون + +377 +00:28:22,320 --> 00:28:26,380 +كاتب بالمعطيات ان ال wire is very long و الا لا + +378 +00:28:26,380 --> 00:28:29,220 +يستطيع تطبيق قانون أمبير طبعا ليش لان هذه لو + +379 +00:28:29,220 --> 00:28:33,770 +الحوافهذه مش بعيدة بيكون هنا P is not uniform بأثر + +380 +00:28:33,770 --> 00:28:37,530 +على اللوب اللي هنا طول ما انت أطرافه بعيدة بيكون P + +381 +00:28:37,530 --> 00:28:41,190 +دوارير زي ما احنا متفقين ومافيش عندي اي إشكالية + +382 +00:28:41,190 --> 00:28:46,190 +لكن لما تكون السلك قصير هنا يبطل فيه دوارير بيصير + +383 +00:28:46,190 --> 00:28:51,170 +فيه un uniformity موجودة بتأثير وبالتالي P بيبطل + +384 +00:28:51,170 --> 00:28:54,730 +نقدر نطلع بلد التكامل وبالتالي لازم السلك يكون + +385 +00:28:54,730 --> 00:28:55,190 +طويل + +386 +00:28:57,940 --> 00:29:01,140 +النوعين التانيين اللي ينطبق عليهم قانون الانبير من + +387 +00:29:01,140 --> 00:29:05,900 +نوعين مهمين من الملفات بدنا نأسس الشغل احنا بدنا + +388 +00:29:05,900 --> 00:29:09,640 +نحاول دائما شباب نعمل مناظرة ما بين الكهربية و + +389 +00:29:09,640 --> 00:29:15,260 +المغناطيسية حاولنا نعمل قانون بيوتقن صفارت نظر + +390 +00:29:15,260 --> 00:29:22,820 +كلوم انبير بنظر جاوس في الكهربا أخدنا حاجة اسمها + +391 +00:29:22,820 --> 00:29:28,990 +المكثف ساكلينو ايش مهمة المكثف؟تخزين طاقة عربية في + +392 +00:29:28,990 --> 00:29:34,150 +حال .. خلّنا نقول جهاز يناظر المكثف المغناطيسية هو + +393 +00:29:34,150 --> 00:29:40,630 +الملف الملف مهم تخزين طاقة مغناطيسية المكثف اكثر + +394 +00:29:40,630 --> 00:29:44,730 +نوع اخدناه تلاتة ذاكرينهم البرالي بريد كاباسيتر + +395 +00:29:45,630 --> 00:29:49,490 +والاسطواني الكراوي والبراري ال blade capacitor C + +396 +00:29:49,490 --> 00:29:53,890 +بيسوي Y node A على D ويقول إن هذا الوحيد اللي بدنا + +397 +00:29:53,890 --> 00:29:58,630 +نحفظه ورمز المكفف أخده منه، ماشي أكمل صموه في + +398 +00:29:58,630 --> 00:30:01,490 +الدعية لأ؟ هاي البراري ال blade capacitor تعالي + +399 +00:30:03,330 --> 00:30:08,410 +جهاز يخزن طاقة كعربية سمينا المكثف جهاز يخزن طاقة + +400 +00:30:08,410 --> 00:30:13,350 +مغناطسية سمينا الملف في عندي نوعين مشهورين من + +401 +00:30:13,350 --> 00:30:17,030 +الملفات اللي هناخدهم solenoid و autoroid اول حاجة + +402 +00:30:17,030 --> 00:30:21,070 +رمز الملف الدائرة خدناه من حاجة بيسموها solenoid + +403 +00:30:21,070 --> 00:30:24,150 +ال solenoid هو الحلزوني الملف الحلزوني بيسموه + +404 +00:30:24,150 --> 00:30:29,970 +solenoid solenoid هذا هو ال solenoid هذا الملف هذا + +405 +00:30:29,970 --> 00:30:35,700 +هوحدثوني طبعا هنا بيكون اما فرعق او بيكون حديد مش + +406 +00:30:35,700 --> 00:30:41,400 +مشكلة عندي اش يكون الوسط طبعا لما يكون الوسط فرعق + +407 +00:30:41,400 --> 00:30:45,100 +بيكون هذه ميونوت اذا هذه مش ميونوت بيضربها بفئة + +408 +00:30:45,100 --> 00:30:48,020 +كعبة ذاكرينها ميونوت بيضربها دي مالي دعوة بس لإن + +409 +00:30:48,020 --> 00:30:51,520 +دي بتحرس ما موجودة فيها انا بدي الوسط فرعق هكذا + +410 +00:30:51,520 --> 00:30:54,880 +تمام مش هو السولينويت بيقول يا السولينويت is a + +411 +00:30:54,880 --> 00:30:59,940 +long wire wound in the form of a helixوصمته زرعيا + +412 +00:30:59,940 --> 00:31:03,400 +شكلها helix ما هو الحوزون helix تمام around the + +413 +00:31:03,400 --> 00:31:05,880 +surface of a cylindrical form طبعا عشان اجيب helix + +414 +00:31:05,880 --> 00:31:09,720 +باجيب سيليكو بلفه على شكل استواني بطلع helix هذا + +415 +00:31:09,720 --> 00:31:13,360 +ملف سمته solenoid بقولي بدك تجيبلي شفدة المجال + +416 +00:31:13,360 --> 00:31:17,440 +المغناطيسي له باستخدام قانون امبير بقولي مش كل + +417 +00:31:17,440 --> 00:31:20,920 +solenoid تستخدم قانون امبير له تمام شوف الشوة ال + +418 +00:31:20,920 --> 00:31:23,800 +solenoid اللي بستخدمها usually بيقولي عادة في + +419 +00:31:23,800 --> 00:31:27,720 +الملفاتاللفات بتكون جريبة على بعض ولا بعيد على + +420 +00:31:27,720 --> 00:31:31,740 +بعض؟ جريبة على بعض كتير إذا ما تكون اللفات شباب + +421 +00:31:31,740 --> 00:31:33,900 +جريبة على بعض بقدر أعتبر الـSolenoid عبارة عن + +422 +00:31:33,900 --> 00:31:37,620 +رنجات فوق بعض ولا لأ؟ عبارة عن رنجات فوق بعض لو + +423 +00:31:37,620 --> 00:31:39,720 +بيطلش تستخدم القانون الأنبياء كيف بيطلش تستخدمها؟ + +424 +00:31:39,720 --> 00:31:42,580 +يقولّي أنت الـRing الواحدة جيبتيلها ولا لأ؟ حلينا + +425 +00:31:42,580 --> 00:31:46,480 +مثال عن رنج الشباب لما كانت النقطة هنا صح هدر رنج + +426 +00:31:46,480 --> 00:31:51,700 +فمثل ما يكون عدة رنجات الـRing عنصر كامل بتفنق بيه + +427 +00:31:52,590 --> 00:31:55,990 +كامل بالطبع لو عندك عشرة rings بتجيب بيه رنك و + +428 +00:31:55,990 --> 00:31:59,070 +بتطرف في العشرة او بتعمل .. بتجيش معاكم على اعتبار + +429 +00:31:59,070 --> 00:32:02,970 +ان بيه is the same direction لكن بيقولني في بعض + +430 +00:32:02,970 --> 00:32:06,530 +السيليوناويد بيسميه ال ideal سيليوناويد بيكون + +431 +00:32:06,530 --> 00:32:11,430 +الطول تبقى كبيرخصوصا الـ tails هم مجرد مجرد مجرد + +432 +00:32:11,430 --> 00:32:12,030 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +433 +00:32:12,030 --> 00:32:20,310 +مجرد مجرد مجرد مجرد + +434 +00:32:20,310 --> 00:32:29,670 +مجرد مجرد + +435 +00:32:32,420 --> 00:32:37,900 +بقول نحن نعتبر هذا الآن غالبا الطول من السولينويد + +436 +00:32:37,900 --> 00:32:45,560 +هو أكتر من قطر السولينويد السولينويد هو أكتر من + +437 +00:32:45,560 --> 00:32:50,900 +قطر السولينويد السولينويد + +438 +00:32:50,900 --> 00:32:52,920 +هو أكتر من قطر السولينويد السولينويد هو أكتر من + +439 +00:32:52,920 --> 00:32:54,400 +قطر السولينويد السولينويد هو أكتر من قطر + +440 +00:32:54,400 --> 00:32:54,480 +السولينويد السولينويد هو أكتر من قطر السولينويد + +441 +00:32:54,480 --> 00:32:55,500 +السولينويد هو أكتر من قطر السولينويد السولينويد هو + +442 +00:32:55,500 --> 00:32:58,460 +أكتر من قطر السولينويد السولينويد هو أكتر من قطر + +443 +00:32:58,460 --> 00:33:00,400 +السولينويد السولينويد هو أكتر من قطر السولينويد + +444 +00:33:00,400 --> 00:33:02,410 +السولينويد هو أكتر من قطر الستمام ال idea + +445 +00:33:02,410 --> 00:33:06,470 +السيمونودي اتفقنا ايش مشكلته انه طويل جدا و القطر + +446 +00:33:06,470 --> 00:33:11,550 +صغير جدا يعني لو انا كان في عندي أسطوانة زي هيك + +447 +00:33:11,550 --> 00:33:15,270 +طويلة + +448 +00:33:15,270 --> 00:33:21,570 +جدا هذه اللي هي بتسميها R تقول الاسفر هي معانا + +449 +00:33:21,570 --> 00:33:26,690 +صغيرة جدا صح ولا لأ طيب هذا أسطوانة بدلوف حولها + +450 +00:33:26,690 --> 00:33:31,850 +سلك بدلوف حولها سلك هيك شباب تمامالسلك بدى يحمل + +451 +00:33:31,850 --> 00:33:34,730 +تيار تيار هيك ماشى لو اطلع طول على هذا الجانب + +452 +00:33:34,730 --> 00:33:41,090 +الطيار كيف يكون اتجاهه كله هيك الطيار ماشى هيك + +453 +00:33:41,090 --> 00:33:46,050 +بيكون خالد ولا لأ و هنا داخل هيك بيكون طيار ماشى + +454 +00:33:46,050 --> 00:33:50,070 +هيك و هيك مظبوط ولا لا عشان اللوف طب انا بدى اركض + +455 +00:33:50,070 --> 00:33:53,070 +ع شغلتين بدرسهم هذا الطرف و هذا الطرف بدرسهم + +456 +00:33:53,070 --> 00:33:58,190 +طيارات جاية عليكم احنا كنا هيك و اطرفها ده هيك اذا + +457 +00:33:58,190 --> 00:34:00,530 +هذه بدى استبدلها الشباب ممكن هيك + +458 +00:34:05,520 --> 00:34:10,220 +و هان و + +459 +00:34:10,220 --> 00:34:14,480 +هكذا كل اللفات مظبوط و لا؟ هذا السلك هيك ماشي طيب + +460 +00:34:14,480 --> 00:34:19,560 +أنا بدي أجيب بيه برا وجوا خليني أشوف برا هنا بدي + +461 +00:34:19,560 --> 00:34:23,540 +بيه هنا حاجة بيه هنا من أين جاء يا شباب من هذا + +462 +00:34:23,540 --> 00:34:26,300 +السلك و من هذا السلك و من هذا السلك و من هذا السلك + +463 +00:34:26,300 --> 00:34:30,160 +مظبوط و لا؟ و كأنه خليني أقرأ اتجاه هذا مين يقول + +464 +00:34:30,160 --> 00:34:31,740 +لي من هذا السلك كيف اتجاه بيه؟ + +465 +00:34:35,370 --> 00:34:40,110 +نازل نتحت هذا ال B تبقى ال right طب و تبقى ال left + +466 +00:34:40,110 --> 00:34:48,110 +لا فوق هذا ال B تبقى ال left ال total B بيجمع ولا + +467 +00:34:48,110 --> 00:34:54,210 +بطرح عكس بقيت هدول صح؟ بدي اطرح كمقادير بدي اطرح + +468 +00:34:54,210 --> 00:34:58,250 +يعني انت تتوقع ان ال B هنا تكون جليلة ولا كبيرة + +469 +00:34:58,250 --> 00:35:04,320 +مقتش بتسوي سفرلما هدى تسوى هدى صح ولا لأ؟ إيش مفرق + +470 +00:35:04,320 --> 00:35:08,960 +هدى عن هدى؟ المسافة هدى طب لو هدى تكون تقلل ال + +471 +00:35:08,960 --> 00:35:12,300 +zero بصير هدى تقريبا بسوى هدى ولا لأ؟ إذا إذا كده + +472 +00:35:12,300 --> 00:35:18,280 +إيش بتطلع بيه هنا؟ سفر نجي لبقى جوا من + +473 +00:35:18,280 --> 00:35:25,200 +الراية كيف تكون اتجاهه؟ لفوق بي write طب من هدى؟ + +474 +00:35:25,200 --> 00:35:32,620 +لفوق في كنيه يكون zero؟ لأإذاً بي جوا له قيمة بي + +475 +00:35:32,620 --> 00:35:36,360 +برا ضعيف عشان كده تطلعوا كيف بي برا بتعملها عامل + +476 +00:35:36,360 --> 00:35:39,400 +خطين شوفوا كم خط جوا إذا كنتوا شايفينها هنا بي + +477 +00:35:39,400 --> 00:35:44,320 +كثيف لأنه هنا بي كبير و هنا نفس العملية كثيف جدا + +478 +00:35:44,320 --> 00:35:48,440 +إذا بي جوا له قيمة و بي برا كنتوا ضعيفة بيقولون + +479 +00:35:48,440 --> 00:35:51,630 +إذا قاعد ياسونيوية ضعيف بدي أعتبره سفرده هتفرق + +480 +00:35:51,630 --> 00:35:54,250 +السفر ليش؟ لإن بيقولني أصلا هذا الفرق بين هذا و + +481 +00:35:54,250 --> 00:35:56,410 +هذا هي المسافة و ماذا هي المسافة هي اللي تقولني + +482 +00:35:56,410 --> 00:36:00,690 +السفر فهذا تقريبا بيساوي هذا إذا بيه جديش برا إذا + +483 +00:36:00,690 --> 00:36:04,970 +المعلومة بينا نحفظها و نفهمها إن بيه برا السلينويد + +484 +00:36:04,970 --> 00:36:09,370 +جديش فرقاج السلينويد نجي لل capacitor نقول جديش E + +485 +00:36:09,370 --> 00:36:14,780 +هنا ذاكرينها؟ و جديش E هنا؟كانت E هنا uniform + +486 +00:36:14,780 --> 00:36:19,080 +وبتساوي sigma على epsilon note إذا كنتوا ذاكرينها + +487 +00:36:19,080 --> 00:36:23,560 +إذا E uniform هنا بيه نفس القضية بيه برا صفر و جوا + +488 +00:36:23,560 --> 00:36:28,400 +uniform الخطوط تقريبا موازية وين تبتدأ؟ وين الشباب + +489 +00:36:28,400 --> 00:36:31,840 +عندهم أطراف؟ شايفين كيف؟ هنا الخطوط بتكون تقريبا + +490 +00:36:31,840 --> 00:36:34,900 +متوازية هنا بتبدأ تميل عشان كده لما الأطراف تكونوا + +491 +00:36:34,900 --> 00:36:38,820 +بعيدة عني بدي اعتبر بيه جوا uniform بدي اعتبر بيه + +492 +00:36:38,820 --> 00:36:40,920 +جوا uniform إذا بيقول + +493 +00:36:43,590 --> 00:36:49,430 +العادية السيلينويت عشان المهمة هذه اتذكروا انا + +494 +00:36:49,430 --> 00:36:55,010 +لعبتكم ايه يعني تمامfor such a solenoid الideal + +495 +00:36:55,010 --> 00:36:58,670 +سولينويد شباب الideal سولينويد الideal سولينويد + +496 +00:36:58,670 --> 00:37:02,510 +فيه لخصيتين لفاته جراب على بعض كتيرة يعني كتير + +497 +00:37:02,510 --> 00:37:07,370 +لفاته وطوله أكبر من قطره بكتير يعني قطره يون إلى + +498 +00:37:07,370 --> 00:37:11,690 +سفر for such a solenoid the magnetic field outside + +499 +00:37:11,690 --> 00:37:17,810 +سفر ذاكرين؟ سفر بالغباية and uniform inside وجوه + +500 +00:37:17,810 --> 00:37:21,520 +ال uniform تمام؟بدي اوجد شديد المجان المغناطيسي + +501 +00:37:21,520 --> 00:37:25,980 +لان اجيبه برا ولا جوا لان برا بده سفر خلص اتقيمته + +502 +00:37:25,980 --> 00:37:31,320 +بدي اجيبه برا جوا لان طيب هذا السولينويد هي رسمته + +503 +00:37:31,320 --> 00:37:35,200 +ممكن استعيد عنه منها هيك تمام بدي اجيب منشطر لان + +504 +00:37:35,200 --> 00:37:39,340 +اقصه من هنا بيبينلي هذا و اقلبه هيك عشان اعرف + +505 +00:37:39,340 --> 00:37:43,200 +اشتغل عليه بدي اجيبه جوا يعني بدي انا اشق بطنه + +506 +00:37:43,200 --> 00:37:48,870 +السولينويد بدي بطنه هى بطنههذا الـ solenoid جيبته + +507 +00:37:48,870 --> 00:37:53,810 +هناك و جيبت منشر و عملت مقطع طبعا السلك كيف ماشي + +508 +00:37:53,810 --> 00:37:56,870 +الطيار؟ ماشي هيك و طالع هيك .. ماشي هيك و طالع هيك + +509 +00:37:56,870 --> 00:38:00,230 +.. تمام؟ و قصته .. اه انا أشتغل عليه .. وين بده + +510 +00:38:00,230 --> 00:38:03,310 +المجال؟ قال لي بدي نقطة هنا .. هي inside .. مش هذي + +511 +00:38:03,310 --> 00:38:08,290 +النقطة inside .. هنا كدهش بيه؟ و هنا؟ سفر .. نجي + +512 +00:38:08,290 --> 00:38:10,790 +لليه اتجاه هذا الشباب .. مين يقولي جيبليه؟ اتجاه + +513 +00:38:10,790 --> 00:38:16,290 +بيه .. هان .. هي الطيار .. هي .. هي اتجاهه ..أو + +514 +00:38:16,290 --> 00:38:21,570 +هذا التجاه + +515 +00:38:21,570 --> 00:38:27,850 +بي هذا التجاه بي الخطوط متوازية لان انا قاعد جالس + +516 +00:38:27,850 --> 00:38:34,530 +في النقطة هذا التجاه بي تمام بي is uniform جوا بس + +517 +00:38:34,530 --> 00:38:39,150 +برا zeroجالي اذا في uniform اذا انت جربت ممكن + +518 +00:38:39,150 --> 00:38:41,770 +تطبيق قانون الأنبياء بس باكتنين بيه؟ لازم تختار + +519 +00:38:41,770 --> 00:38:46,310 +loop لو اخترت loop دويرة شباب انا بدي شدت المجال + +520 +00:38:46,310 --> 00:38:51,070 +اللي مطيسة عند النقطة دي قال هاي loop مش هاد ال + +521 +00:38:51,070 --> 00:38:55,960 +loop دويرة، هاي ال loop هل بيثبت عليها؟مش بره صفر + +522 +00:38:55,960 --> 00:38:59,860 +و جوا فيه قيمة هاد اللوب متنفع كاش طب هو ربنا + +523 +00:38:59,860 --> 00:39:04,280 +ماخال جريشه مغلقة للدويرة؟ لأ خلانا مستطيل ولا لأ + +524 +00:39:04,280 --> 00:39:09,560 +قال هذا اللوب متنفع كاش خد مستطيل ليش؟ طب ليش + +525 +00:39:09,560 --> 00:39:13,500 +افرجت معاك؟ قال ليه بتفرج معايا كتير اللوب اكم ضنع + +526 +00:39:13,500 --> 00:39:18,980 +لهاالدائرة كان ضلع شباب إلها، ضلع واحد المستطيل، + +527 +00:39:18,980 --> 00:39:22,880 +اربع، اللوب مشكلتك في التكامل، مافيش عندك إلا + +528 +00:39:22,880 --> 00:39:26,740 +تكامل واحد، ماقدرش تطلع بيه، بتضلك ملزق، ماقدرش + +529 +00:39:26,740 --> 00:39:32,660 +تتعاملالمستطيل التكامل بتجسمه اربع تكاملات و بيصير + +530 +00:39:32,660 --> 00:39:35,960 +كل تكامل يتعامل معاه على حده او ممكن ينحل مشكلتك + +531 +00:39:35,960 --> 00:39:40,840 +تمام اذا بيقولي to calculate the internal magnetic + +532 +00:39:40,840 --> 00:39:45,000 +field بيجيب الآية magnetic field جواني we can + +533 +00:39:45,000 --> 00:39:49,120 +apply Ampere's law to the rectangular loop اذا انا + +534 +00:39:49,120 --> 00:39:56,800 +أخدت loop مستطيل انهي A B C D وبرجع Aهذه ال loop + +535 +00:39:56,800 --> 00:40:01,920 +تبعتي عارفين ليش الديارة مابتنفعش؟ جمعني ليش + +536 +00:40:01,920 --> 00:40:05,660 +الديارة مابتنفعش؟ لأن P is not constant on the + +537 +00:40:05,660 --> 00:40:12,640 +length of the loop تمام طيب بقولي هاي القانونة في + +538 +00:40:12,640 --> 00:40:15,120 +gauss's law إيش كان الفرق ما بين تاخد سطح gauss + +539 +00:40:15,120 --> 00:40:19,700 +قراوي أو أستوانة في القرأة كان سطح إلها؟واحد + +540 +00:40:19,700 --> 00:40:23,520 +الاصطناع اللي كنت تسويه تجسمها لتلاتة وتتعامل مع + +541 +00:40:23,520 --> 00:40:27,020 +كل واحدة على حدة ولا لأ انت ما تقول بيسه و بيسه و + +542 +00:40:27,020 --> 00:40:30,680 +كرت هنا بقالك هذا التكامل بنفع تاخده مرة واحدة + +543 +00:40:30,680 --> 00:40:39,720 +بالجسم لها كم؟ أربعة تكاملات من A لB من B لC من C + +544 +00:40:39,720 --> 00:40:44,560 +لD و من D لE هاي الأربعة أضلها طيب جالك يا الله + +545 +00:40:44,560 --> 00:40:48,080 +أشتغل إذا أي تكامل فيهم غلبك مانت ماتقعدش تشغل غلط + +546 +00:40:49,190 --> 00:40:52,810 +أول تقامه مريحني .. كدش بيه هنا؟ اذا جينا كده + +547 +00:40:52,810 --> 00:40:55,890 +اتدلق اقول تقامله الله صحيح عليه .. وينه من انصلة + +548 +00:40:55,890 --> 00:41:00,990 +دي؟ من انصلة دي؟ الله صحيح عليه .. ليش؟ عشان بيه + +549 +00:41:00,990 --> 00:41:05,750 +بتساوي سفر .. طيب هاد غنيب .. هاد بيه مش ثابت عليه + +550 +00:41:05,750 --> 00:41:10,470 +.. هنا هنا قيمة .. هنا سفر .. لكن ريحني .. لأجلك + +551 +00:41:10,470 --> 00:41:13,870 +لأطلع بيه و يتغلب حالك .. مش بيه هيك اتجاهه شباب + +552 +00:41:13,870 --> 00:41:18,320 +.. و دي ال هيك اتجاهه .. مديش الزاويةو جديش كسر + +553 +00:41:18,320 --> 00:41:21,540 +التسعين، إذا الله سحر عليه، أنا هطلع برا و أنا + +554 +00:41:21,540 --> 00:41:28,800 +خلّيه جوا، وهذا .. هذا زي ما أنا زيه، الله سحر + +555 +00:41:28,800 --> 00:41:35,200 +عليهماذا قالوا؟ ده الدلع الجوه .. الدلع اللي جوه + +556 +00:41:35,200 --> 00:41:38,800 +بيه uniform ولا مش uniform عليها؟ أصلا uniform + +557 +00:41:38,800 --> 00:41:42,340 +يعني ثابتة طلعها برا طلعناها ده اللي مضبط البرودات + +558 +00:41:42,340 --> 00:41:46,920 +من a ل b هاي الاتجاه و بيه هاي الاتجاه دلش الزاوية + +559 +00:41:46,920 --> 00:41:52,260 +ال zero و قصان ال zero واحد اذا كنت كاملات حلت كنت + +560 +00:41:52,260 --> 00:42:01,130 +كاملات حلتfor the portions B C B C and D A + +561 +00:42:01,130 --> 00:42:07,990 +العموديات شباب B C و D A B شدة المجال المغناطيسي + +562 +00:42:07,990 --> 00:42:12,470 +is perpendicular to D A العمودي على طول السلك على + +563 +00:42:12,470 --> 00:42:17,570 +طول ال loop and for the portions C D والفجاني + +564 +00:42:17,570 --> 00:42:22,610 +الدلق الفجاني قدش B عليه سفر معناته بيقوللي هذا + +565 +00:42:22,610 --> 00:42:29,730 +روحو هاد روح و هاد روح طبعا هدول روحوا عشان التعمد + +566 +00:42:29,730 --> 00:42:34,690 +و هاد روح عشان ايش؟ عشان B0 المهم روحوا، مش السبب + +567 +00:42:34,690 --> 00:42:37,590 +مش مهم، لكن مهمني أعرف شويه السبب، لكن في النهاية + +568 +00:42:37,590 --> 00:42:42,900 +أنا بهمني روحه، أكتر من ذلك ارتكاب مرضالبقال دلش + +569 +00:42:42,900 --> 00:42:48,200 +هنا من a ل b بس من a ل b بقول for the portion a,b + +570 +00:42:48,200 --> 00:42:55,900 +,b,B موازي للطول صح يعني ال product روحت and its + +571 +00:42:55,900 --> 00:42:59,060 +magnitude is constant لأنه قال لي ال ideal + +572 +00:42:59,060 --> 00:43:03,100 +solenoid بيجوه uniform هو أصلا صرت معلومة عندي بي + +573 +00:43:03,100 --> 00:43:08,540 +is uniform قال لي حلو صرت هيكطلّع التكامل الـB + +574 +00:43:08,540 --> 00:43:12,720 +بيبقى تكامل، جوا التكامل صار الـDL، الطول الـDL هو + +575 +00:43:12,720 --> 00:43:18,040 +عطني دول قداش الـL، حطيت الـL المشكلة في I + +576 +00:43:18,040 --> 00:43:24,260 +enclosed ماعرفش أرقصهم اللي جوا و اللي برا، وين I + +577 +00:43:24,260 --> 00:43:28,480 +enclosed أنا هال gate؟ إيش بده التيار اللي داخل؟ + +578 +00:43:28,480 --> 00:43:31,440 +هناك كانت في عندي مساحة سفرة، ذاكرينها؟ اشيلي + +579 +00:43:31,440 --> 00:43:32,780 +مساحة سفرة هنا، هتكون محلها + +580 +00:43:35,590 --> 00:43:39,470 +المساحة الصفراش كايتمثل المساحة اللى حددتها مين ال + +581 +00:43:39,470 --> 00:43:44,350 +loop طب اللو باش هيها انا بدي المساحة دى اش فيها + +582 +00:43:44,350 --> 00:43:48,890 +طيارات بتخترق و بدك اتعدها صح ولا لأ طيب هذا + +583 +00:43:48,890 --> 00:43:56,510 +الطيار بيخترق طب هذا هذا هذا و هذا بدك تعد هدول + +584 +00:43:56,510 --> 00:44:01,090 +هدول اش بيمثلوا عدة لفات ولا مش عدة لفات طب اخترق + +585 +00:44:01,090 --> 00:44:06,380 +مرة واحدة ولا عدة مرات بيخترج يعيدهذه المرة وهذه + +586 +00:44:06,380 --> 00:44:10,920 +كمان مرة اذا معناته I في عدد اللفات اللي محصورة + +587 +00:44:10,920 --> 00:44:17,800 +منها اللهام اذا I enclosed بسوى كذا I كذا I حسب + +588 +00:44:17,800 --> 00:44:22,200 +حدد اللفات طبعا كام نفس هدول الله أعلم كتبر اللوب + +589 +00:44:22,200 --> 00:44:26,120 +تبعتك بكتبر اللفات زغير اللوب تبعتك بزغير اللفات + +590 +00:44:26,120 --> 00:44:32,340 +اعتبرهم capital M عدد اللفات اذا بيقول ليهالحركة + +591 +00:44:32,340 --> 00:44:38,700 +التي تتجاوز الجسد و تتجاوز اللوب هي I مضروف في عدد + +592 +00:44:38,700 --> 00:44:41,460 +اللفات المحصورين باللوب + +593 +00:44:49,270 --> 00:44:53,010 +طبعا عشان عدد لفات مش معروفين عشوائيين بمعنى أخر + +594 +00:44:53,010 --> 00:44:56,590 +يعني كل واحد له عدد لفات بحسب اللوب تبعته انا هذه + +595 +00:44:56,590 --> 00:45:00,970 +اللوب عملت اتنين اربع ستة تمانية لو زغرت اللوب + +596 +00:45:00,970 --> 00:45:04,270 +ممكن يطلع اربع او خمسة صح ولا لا كبرت اللوب شويه + +597 +00:45:04,270 --> 00:45:07,030 +ممكن يطلع عشرة فبدي اعتبر هدول اللفات عددهم + +598 +00:45:07,030 --> 00:45:10,990 +capital N فبدي اسمي I enclose capital N في I + +599 +00:45:10,990 --> 00:45:12,390 +متفقين؟ + +600 +00:45:16,310 --> 00:45:20,770 +بِL بصامورة من الـ I enclosed سميتها N في I عدد + +601 +00:45:20,770 --> 00:45:28,850 +اللفات جيب بي طلعت إيش هذه N على L كبرة L كبرة N + +602 +00:45:28,850 --> 00:45:34,490 +ولا لأ ال طول النوب طب زخر L إيش مصير فين؟ طب كده + +603 +00:45:34,490 --> 00:45:38,830 +تقول إن هدي على هدي نسبة ثابتة ولا لأ؟سموها small + +604 +00:45:38,830 --> 00:45:44,130 +m هي عدد اللفات لكل واحدة الطول كل solenoid بيقول + +605 +00:45:44,130 --> 00:45:49,090 +لك لفاته بتساوي 100 لفة لكل متر هيك بعطيكيها يعني + +606 +00:45:49,090 --> 00:45:53,470 +ال solenoid ايه الصفة اتصالات solenoid بدي انا جدش + +607 +00:45:53,470 --> 00:45:58,830 +طوله و بدي جدش تياره و بدي جدش قطه مظبوط ولا لأ؟ + +608 +00:45:59,470 --> 00:46:04,370 +بديش لفات و بيقولكاش في مليون لفة لأ بيقولك هذا في + +609 +00:46:04,370 --> 00:46:07,350 +كذا لفة لكل متر بصير ان انت بتحصل على كام متر و + +610 +00:46:07,350 --> 00:46:09,630 +بتعرف أكتر من اللفات الكلية فصلاة الصفة اللي + +611 +00:46:09,630 --> 00:46:13,890 +بيعتوها يا شباب هي small n بيقولك سنونت في كذا لفة + +612 +00:46:13,890 --> 00:46:18,410 +لكل متر كذا لفة لكل متر ايش بيوصل فيها؟ N هجيت هذا + +613 +00:46:18,410 --> 00:46:24,890 +القانون بيعتمد على بعض النقطة من هنا انا جبت هنا + +614 +00:46:24,890 --> 00:46:29,890 +انا جبت هنا ولا هنا ولا هنا ولا هنا تفرجتفرقش صح + +615 +00:46:29,890 --> 00:46:33,670 +ولا لأ؟ تفرقش لأنه uniform وهي طلعت من هالجاعة + +616 +00:46:33,670 --> 00:46:37,090 +بجهد النقطة مازال انت جوا برا طبعا صفر احنا مالنا + +617 +00:46:37,090 --> 00:46:41,670 +الجاعة اما جوا عند اي نقطة جوا نفس القيمة لإن هى + +618 +00:46:41,670 --> 00:46:47,610 +بتاعتها تعتمد على اكس ورقة ميو نوت ثابت ان عدد + +619 +00:46:47,610 --> 00:46:51,430 +اللفات لكل واحدة الطول ثابت لسلول واحد وI ثابتة + +620 +00:46:52,770 --> 00:46:56,310 +where n is the number of turns per unit length + +621 +00:47:03,590 --> 00:47:07,450 +الان اللى بدنا نعرفه بالنسبة للسترينويد بدنا نحفظه + +622 +00:47:07,450 --> 00:47:10,690 +ليه شغلتين لان السترينويد بدنا نحفظه الترويد اللى + +623 +00:47:10,690 --> 00:47:13,510 +وراه بدنا إيش نحفظه زى الcapacitor البرادر بليد + +624 +00:47:13,510 --> 00:47:15,890 +الcapacitor كله بدنا نحفظه ال spherical و + +625 +00:47:15,890 --> 00:47:17,870 +الcylindrical محفظة هم ليش لكن كنا عارفين كيف + +626 +00:47:17,870 --> 00:47:22,030 +نشتاقهم مظبوط ولا لأ هذه السترينويد أنا بس المطلوب + +627 +00:47:22,030 --> 00:47:25,190 +مني أحفظ الideal استرينويد الideal استرينويد في + +628 +00:47:25,190 --> 00:47:31,140 +عنده صفتين بيبرر الديشزيرو جوا uniform و قداش + +629 +00:47:31,140 --> 00:47:35,720 +قيمته ميو نوت انف الاي هالي بنحفظه uniform و قيمته + +630 +00:47:35,720 --> 00:47:39,260 +قداش فهو القانون شده في المجال المناطيسي جوا + +631 +00:47:39,260 --> 00:47:44,290 +السيرينويد بده نحفظه ميو نوت انف الايمؤقتا بيكون + +632 +00:47:44,290 --> 00:47:47,850 +معروف يعني لإنه مشهور عشان كده رمز الملف شباب + +633 +00:47:47,850 --> 00:47:51,550 +أخدوه من ال solenoid ال solenoid هو الرمز لإن احنا + +634 +00:47:51,550 --> 00:47:56,450 +بيعمل الملف لما يكون في عندي دائرة فاني أسميها هاي + +635 +00:47:56,450 --> 00:48:01,170 +مقارنة هاي capacitor و بيعمل هيك هاي ملف هذه + +636 +00:48:01,170 --> 00:48:07,550 +بيسموها R هذه C وهذه L بعدين من الجهةفهذا هو + +637 +00:48:07,550 --> 00:48:10,810 +السولينويد عشان كده عشان هو مشهور قالوا خلينا + +638 +00:48:10,810 --> 00:48:15,330 +نميزه على بجية الملفات انه نحفظ قانونه يعني عشان + +639 +00:48:15,330 --> 00:48:20,670 +نبقى مشهور جدا بقى انا الملف التاني اللي مش هنحفظ + +640 +00:48:20,670 --> 00:48:24,730 +قانونه بس هنشتق بيه تبعته هو الترويد قال ليش هو + +641 +00:48:24,730 --> 00:48:29,090 +الترويد قال لي هو السولينويد بس ايش يتساوي فيه مش + +642 +00:48:29,090 --> 00:48:32,170 +السولينويد هيركس قاللي لفوه ييكوا يعملوا دويرة صار + +643 +00:48:32,170 --> 00:48:38,520 +ترويدفجيت ملف حلزوني مقس طوانة لفه وعمله بصير + +644 +00:48:38,520 --> 00:48:46,880 +دويرة اذا هذا هو ال Troid هذا هو لو جسيت هذا شباب + +645 +00:48:46,880 --> 00:48:50,480 +جسيته و عدلته بطلع سنانويت بطلع سنانويت بطلع + +646 +00:48:50,480 --> 00:48:55,960 +سنانويت تانى بيقول ال Troid ال Troid is a long + +647 +00:48:55,960 --> 00:49:03,340 +wirewent around a donut-shaped structure شكل زي + +648 +00:49:03,340 --> 00:49:09,480 +الكعكة، شكل كعكاوي، خلّيني أسميه كعكاوي، كعكاوي، + +649 +00:49:09,480 --> 00:49:19,460 +كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، + +650 +00:49:19,460 --> 00:49:22,640 +كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، + +651 +00:49:22,640 --> 00:49:26,580 +كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، + +652 +00:49:26,580 --> 00:49:26,620 +كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، + +653 +00:49:26,620 --> 00:49:26,620 +كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي + +654 +00:49:27,570 --> 00:49:29,830 +الدونات بالفرنسية ما هي الكلمة اظن ان الفرنسية + +655 +00:49:29,830 --> 00:49:34,610 +بيصير دونات في اكلة بيسموها ال دونات برضه زي + +656 +00:49:34,610 --> 00:49:38,130 +الكعكة بس خبز كعكة و بيحطوا عليه سكر و مش عارف ايش + +657 +00:49:38,130 --> 00:49:41,310 +بيسموها ال دونات بس كلمة ال دونات اعتقد انها كلمة + +658 +00:49:41,310 --> 00:49:46,610 +فرنسية زيها ال donut تمام it can be considered as + +659 +00:49:46,610 --> 00:49:50,870 +a solenoid bent into the shape of a donut بيقول ان + +660 +00:49:50,870 --> 00:49:54,210 +هو نفس ال solenoid بس اعمله عشان الكعكة بيصير + +661 +00:49:54,210 --> 00:50:02,430 +ترويد المهمبنجيب P الان هذا الشباب بيشبه الكباسيطر + +662 +00:50:02,430 --> 00:50:06,970 +الدائري زكي الكباسيطر الدائري خلينا نشوف الكباسيطر + +663 +00:50:06,970 --> 00:50:10,470 +الدائري هاي القراء وهاي القراء هذه كانت ال Q وهذه + +664 +00:50:10,470 --> 00:50:16,390 +سلبي Q ماشيكوا نقول مين هو اللي مديش E هنا طب و E + +665 +00:50:16,390 --> 00:50:21,540 +هنا؟زي المثال يجب أن تكون في الامتحان مظبوط هنا + +666 +00:50:21,540 --> 00:50:25,760 +سفر وهنا سفر هنا كان فيه نقيمة فزي الكبسطر هذا كنا + +667 +00:50:25,760 --> 00:50:29,440 +نقول هنا سفر وهنا سفر هنا قيمة مظبوط او لا هذا ال + +668 +00:50:29,440 --> 00:50:34,020 +truth بشبه الكبسطر الدائري الكراوي الكبسطر الكراوي + +669 +00:50:34,020 --> 00:50:42,320 +انا بدي اجيب B هنا وB هنا وB هنا بدي اتأكد ان B + +670 +00:50:42,320 --> 00:50:48,780 +هنا سفر وB هنا سفر وB هنا قيمةتمام؟ قبل ما اعمل كل + +671 +00:50:48,780 --> 00:50:53,580 +حاجة شباب لو انا اجيت قولتلكم السيناودي اللي انا + +672 +00:50:53,580 --> 00:51:00,060 +جبتلكم اياه المرة هذيك شايفين + +673 +00:51:00,060 --> 00:51:06,420 +هذا؟ لو اديت لفته هدول ايش بيصير فيهم؟ ايش بيصيروا + +674 +00:51:06,420 --> 00:51:10,860 +بشكله؟ loop ولا مش loop؟ اذا بتتوقعوا المجال + +675 +00:51:10,860 --> 00:51:14,820 +المغناطيسي يكون عبارة عن loop زي هيك صح ولا لأ + +676 +00:51:14,820 --> 00:51:20,190 +عبارة عن rings؟تمام؟ لما نيجي نعمل احنا ال .. ال + +677 +00:51:20,190 --> 00:51:24,150 +denote هذا + +678 +00:51:24,150 --> 00:51:27,810 +انا فيه عندي تيار طبعا هذه لفات وين بدايتها وين + +679 +00:51:27,810 --> 00:51:36,150 +نهايتها خليني انا اشوفهم وين حاططهم مش مبينين هو + +680 +00:51:36,150 --> 00:51:38,910 +اللي بدون يجب ان يكون بعد من النقطة ومن تلنا نقطة + +681 +00:51:38,910 --> 00:51:43,430 +يعني بدون يكونوا لفين هيك خليني اقول لفين هيك هيك + +682 +00:51:43,430 --> 00:51:50,410 +كيف بدي اجيبه؟ بقول بسيطةانا بدي أكون معايا الطيار + +683 +00:51:50,410 --> 00:51:54,630 +هيك عامل صح ولا لأ الطيار هال في الطيار في كل + +684 +00:51:54,630 --> 00:51:57,970 +أحوال بدي أكون ماشين وهذا هو ماشي معايا انا بدي + +685 +00:51:57,970 --> 00:52:03,330 +أمشي حوالي الكعكة اصابع الأربعة بلفهم مع الكعكة + +686 +00:52:03,330 --> 00:52:08,270 +اصابع الأربعة بلفهم مع الكعكة لأن اتجاه بيه بيكون + +687 +00:52:08,270 --> 00:52:11,370 +هيك هي اتجاه بيه + +688 +00:52:14,310 --> 00:52:20,650 +طبعا انا في شغلة لازم نعملها بس نعمل التالي هذا + +689 +00:52:20,650 --> 00:52:26,070 +snake شباب هي تياره مين يقول اتجاه المجال + +690 +00:52:26,070 --> 00:52:33,610 +المغناطيسي عن النقطة هذ كيف اجيبها للخارج + +691 +00:52:33,610 --> 00:52:37,710 +صح ولا لأ للخارج ليش لأن الطيار هيه هي الطيار + +692 +00:52:40,770 --> 00:52:50,110 +هيك للخارج هيك للخارج هيك للخارج هيك للخارج هيك + +693 +00:52:50,110 --> 00:52:54,130 +للخارج هيك للخارج هيك للخارج هيك للخارج هيك للخارج + +694 +00:52:54,130 --> 00:52:54,130 +هيك للخارج هيك للخارج هيك للخارج هيك للخارج هيك + +695 +00:52:54,130 --> 00:52:54,130 +للخارج هيك للخارج هيك للخارج هيك للخارج هيك للخارج + +696 +00:52:54,130 --> 00:52:54,130 +هيك للخارج هيك للخارج هيك للخارج هيك للخارج هيك + +697 +00:52:54,130 --> 00:52:54,130 +للخارج هيك للخارج هيك للخارج هيك للخارج هيك للخارج + +698 +00:52:54,130 --> 00:52:54,750 +هيك للخارج هيك للخارج هيك للخارج هيك للخارج هيك + +699 +00:52:54,750 --> 00:52:57,410 +للخارج هيك للخارج هيك للخارج هيك للخارج هيك للخارج + +700 +00:52:57,410 --> 00:53:02,060 +هيك للخارج هيبعطيك بيه ولا لأ بس هذا بشرطش بأبقى + +701 +00:53:02,060 --> 00:53:05,160 +مرهش أديكميها في الأول ان يكون النقطة جوا ال curve + +702 +00:53:05,160 --> 00:53:07,580 +مش برا ال curve يعني لما النقطة تكون هنا مينفعش + +703 +00:53:07,580 --> 00:53:11,860 +لما يكون هنا عندك curve لو بديك نقطة هنا تبقى خدت + +704 +00:53:11,860 --> 00:53:16,720 +شغلها لكن لو نقطة فوق مينفعش تمام هنا بدل من هنا + +705 +00:53:16,720 --> 00:53:23,290 +outهنا بمعنى اخر لازم يكون السلك تحت ايديك او هنا + +706 +00:53:23,290 --> 00:53:28,310 +فوق ايديك بقى و لا بتلعب كذا ندرها هذه السلك لافف + +707 +00:53:28,310 --> 00:53:32,490 +لو السلك شباب بيلف هيك بقدر يعمل صبيعي هيك تلعب + +708 +00:53:32,490 --> 00:53:35,670 +ابهامك ايش بيسوي و انت ماشي يمسك الكعكة على كل + +709 +00:53:35,670 --> 00:53:40,210 +محيطها ايش ابهامك بيعمل بيعمل مماس على كل الكعكة + +710 +00:53:40,210 --> 00:53:43,830 +ولا لأ اذا بيكون عامل دوّير على الكعكة بالظبط + +711 +00:53:43,830 --> 00:53:52,200 +بتكون بي بهذا الشكل الآنأنا ماعرفش زبطت معاكم + +712 +00:53:52,200 --> 00:53:56,420 +ايديكم حولتهم ولا ماحولتهمش ان بي بتكون هيك شكلها + +713 +00:53:56,420 --> 00:54:02,320 +الشباب طبعا حسب السلك لا هيك لا العكس لكن مافيش + +714 +00:54:02,320 --> 00:54:08,380 +احتمال اخر هذا بي بيقول to find a magnetic field + +715 +00:54:08,380 --> 00:54:12,360 +inside a toroid we can apply Ampere's law to a + +716 +00:54:12,360 --> 00:54:16,500 +circular loop of radius R as shown هاي اللوب اللي + +717 +00:54:16,500 --> 00:54:17,260 +انا بتاخد + +718 +00:54:21,100 --> 00:54:27,140 +طيب بى هيكون ثابت و tangent قطعا from the symmetry + +719 +00:54:27,140 --> 00:54:30,300 +the magnetic field lines form concentric circles + +720 +00:54:30,300 --> 00:54:33,740 +inside the toroid، طب عنليه ثابت؟ ما هو أنا أخدته + +721 +00:54:33,740 --> 00:54:37,300 +في السينايويد جوا ثابت أصلا، وهذا أنت لفته فهو + +722 +00:54:37,300 --> 00:54:40,880 +ثابت، بالتالي يجب أن يكون ثابت، this means that B + +723 +00:54:40,880 --> 00:54:44,780 +is constant in magnitude along the Amperian loop + +724 +00:54:44,780 --> 00:54:48,980 +and directed tangent to ittherefore at a point + +725 +00:54:48,980 --> 00:54:53,300 +inside that road .. بنانعمل هالشغلة بس هذا هو هذا + +726 +00:54:53,300 --> 00:54:56,160 +قانون الأنبياء اللي مافيش مشكلة فيه بيه طلعتها برا + +727 +00:54:56,160 --> 00:55:00,620 +و عمودي ع ال DL طلعت هيك المشكلة في I enclosed + +728 +00:55:00,620 --> 00:55:06,180 +شباب المشكلة في I enclosed ارجع ايش الطيارات اللي + +729 +00:55:06,180 --> 00:55:10,140 +بدكي اياهم؟ بدكي الطيارات اللي اخترقوا هذه المساحة + +730 +00:55:10,140 --> 00:55:13,580 +من هام كلها ال bow bow diesel هذا الأحمر صح ولا + +731 +00:55:13,580 --> 00:55:18,950 +لأ؟أيه فيه طيارات بخترقها هيكونها المساحة ولا لأ؟ + +732 +00:55:18,950 --> 00:55:22,410 +طيب نجري الطيار وكيف عامله هيه عامله هيك شايفين + +733 +00:55:22,410 --> 00:55:26,270 +ناسهم يعني من معنى أخر هيك في طيار و هيك في طيار + +734 +00:55:26,270 --> 00:55:31,170 +هيك في طيار و هيك في طيار هيك ماشي الطيار هيك و + +735 +00:55:31,170 --> 00:55:40,910 +هيك هيك و هيك تمام؟ أه هيك ماشي بالظبط تمام هذا + +736 +00:55:40,910 --> 00:55:46,340 +الطيار بالدكية بخترق المساحة ولا بخترقهاش؟والمساحة + +737 +00:55:46,340 --> 00:55:50,440 +اللى بتبدأ من هنا لعندها كلها هذا الطيارة بدنايا + +738 +00:55:50,440 --> 00:55:57,580 +ولا لأ طيب هذا بدنايا لأ حلو طيب اكم طيار بدي؟ لو + +739 +00:55:57,580 --> 00:56:01,980 +عندي 100 لفة اكم طيار بدي؟ 100 لفة اذا بدي عدد + +740 +00:56:01,980 --> 00:56:06,180 +الطيارات .. بدي الطيار في عدد اللي لفت صح ولا لأ + +741 +00:56:06,180 --> 00:56:10,920 +سؤال الأعمل لو أقولك جيبش B هنا جيب B بس هنا هذه + +742 +00:56:10,920 --> 00:56:14,140 +المساحة في طيارة بخلال الخط؟ بقدر أقول B هنا بساوي + +743 +00:56:14,140 --> 00:56:21,700 +سفر؟أه مافيش تييرات .. اذا بيه سفر .. طب هنافي + +744 +00:56:21,700 --> 00:56:26,080 +طيار فيه ليش؟ لأن المساحة هذه كلها بخترقها الطيار + +745 +00:56:26,080 --> 00:56:29,920 +و لا بخترقها عش بس هذا بدياه و هذا بدياه ساعتها + +746 +00:56:29,920 --> 00:56:35,100 +هذا in و هذا out بيلغوا بعض ولا بيلغوش إذا برضه + +747 +00:56:35,100 --> 00:56:39,820 +بيه برا بتساوي سفر نرجع لل capacitor هذا كان إيه + +748 +00:56:39,820 --> 00:56:44,380 +برا سفر و إيه جوا سفر و هنا بيه هنا سفر و بيه هنا + +749 +00:56:44,380 --> 00:56:48,260 +سفر هنا سفر في الشيارات هنا فيه طيارات بس بيلغوا + +750 +00:56:48,260 --> 00:56:54,400 +بعض زي ما هنافي شحنات لكن هذا لف هذا مفهوم؟ لكن في + +751 +00:56:54,400 --> 00:56:58,380 +نقطة هنا ماكانش فيه شحنات أصلا تمام؟ إذا معناته + +752 +00:56:58,380 --> 00:57:01,420 +this means that B is constant in magnitude along + +753 +00:57:01,420 --> 00:57:04,320 +the imperial loop and directed tangent to it + +754 +00:57:04,320 --> 00:57:08,020 +therefore at a point in time بيقول we have صافي + +755 +00:57:08,020 --> 00:57:12,820 +عند B في اتنين by A بصومي ونط في عدد اللفات في I + +756 +00:57:12,820 --> 00:57:14,020 +وطلعنا + +757 +00:57:16,120 --> 00:57:21,660 +طلع نبيه طلعت برضه عشان نظمن تبعين هو إيش جميل جل + +758 +00:57:21,660 --> 00:57:26,040 +الترود هو السيلانويد صح ولا لأ أنا إيش طلعت + +759 +00:57:26,040 --> 00:57:31,760 +السيلانويد جميل انت طلعتيلي السيلانويد هيك مش هيك + +760 +00:57:31,760 --> 00:57:38,640 +صحيح طب يشوف إيش اللي صوّع هذه إشيه على هذه طب هذه + +761 +00:57:38,640 --> 00:57:43,770 +مجتمع اعتبرها إيه؟مظبوط ولا لأ؟ و capital N على L + +762 +00:57:43,770 --> 00:57:51,530 +مش هي small n نفس النتيجة نفس النتيجة capital N + +763 +00:57:51,530 --> 00:57:55,430 +على L مش هي small n و طول السنينويت لما نف وصي + +764 +00:57:55,430 --> 00:58:01,450 +المخيط هو اتنين by R فهذه هي بالضبط mu not capital + +765 +00:58:01,450 --> 00:58:09,900 +N I على capital N وهذه هي هذه هي نفس ال ..يعني + +766 +00:58:09,900 --> 00:58:13,720 +نفسه يعني في النهاية صح الكلاب ان هو سلوك لفته بس + +767 +00:58:13,720 --> 00:58:19,600 +هنا طبعا عشان لفته بس في مشكلة في انه بطل uniform + +768 +00:58:19,600 --> 00:58:24,180 +لأن الطول جربته ايه في كل احوال فده كان الأطراف + +769 +00:58:24,180 --> 00:58:27,060 +بعد عني بس لما لفه الأطراف بطلوا بعدي عني جيبتهم + +770 +00:58:27,060 --> 00:58:31,080 +لحالي تمام فببطل uniform فعشان كده يعتمد على R زي + +771 +00:58:31,080 --> 00:58:34,880 +ما انت شايفين اما هناك كان لا يعتمد على ايش في ال + +772 +00:58:37,040 --> 00:58:39,660 +Note that the current crossing the surface several + +773 +00:58:39,660 --> 00:58:43,620 +times equal to the number of turns.بقول ان الطيار + +774 +00:58:43,620 --> 00:58:49,200 +هنا بيختلق عدة مرات بعدد اللفات.واضحة.These + +775 +00:58:49,200 --> 00:58:52,120 +results show that B is not uniform inside a toroid + +776 +00:58:52,120 --> 00:58:55,800 +.The magnetic field outside a toroid is zero.بقول + +777 +00:58:55,800 --> 00:58:58,680 +البرا ال toroid سفر.والبرا ال toroid أنا بعني فيه + +778 +00:58:58,680 --> 00:59:01,520 +هنا يا شباب.هذا برا ال toroid وهذا برا ال toroid + +779 +00:59:01,520 --> 00:59:06,220 +.لأن ال toroid هيو.هذه الملف هي جوا يعني هنا برا + +780 +00:59:06,220 --> 00:59:11,240 +يعني هنا و هنا اتفقنا برا ليه سفر اتفقنا هنا لأنه + +781 +00:59:11,240 --> 00:59:15,440 +مافيش اصلا I هنا فيه two I's opposite to each + +782 +00:59:15,440 --> 00:59:19,680 +other برغوا بعض وبالتالي بي برا الترود سفر وجوا + +783 +00:59:19,680 --> 00:59:24,220 +ترود بتساوي مقدار معين نقلي نفور بيعتمد على R + +784 +00:59:24,220 --> 00:59:29,120 +والنتيجة اللي هي هذه انا مابديش احفظها اللي هي هذه + +785 +00:59:29,530 --> 00:59:32,570 +أنا مش مقلوب مني أحفظها على بعض الطرق لكن مقلوب + +786 +00:59:32,570 --> 00:59:36,830 +مني أه كيف أجيبها فيها أيضا استفصال يا شباب أن + +787 +00:59:36,830 --> 00:59:40,570 +الأهل الامبيرز ينطبق بس على تمام حالاتالسيركت طويل + +788 +00:59:40,570 --> 00:59:44,190 +جدا السولينويد والتيرويد والسولينويد ال ideal دير + +789 +00:59:44,190 --> 00:59:48,370 +باكم المش ideal اللي لا ينطبق عليه طبعا المش ideal + +790 +00:59:48,370 --> 00:59:51,670 +الشباب اللي بيبقى حلو بيصير معضلة لأنه انا بدي اخد + +791 +00:59:51,670 --> 00:59:54,710 +عنصر بيطبقه على قوانين بيطر انصدار لما يكون مش + +792 +00:59:54,710 --> 00:59:59,230 +طويل كتير فبتصير كده حلو بدي اعتبر range عنصر + +793 +01:00:00,410 --> 01:00:03,930 +النتيجة اللى جبتها بالرنج بدي اعتبرها DB و أكامل + +794 +01:00:03,930 --> 01:00:08,290 +طبعا التكامل فيه شوية إشكالية رياضية بياخدوا + +795 +01:00:08,290 --> 01:00:10,870 +الطلبة في سنة تالتة كيف يتعاملوا مع الـSolenoid + +796 +01:00:10,870 --> 01:00:16,030 +الى نط Ideal وبيشوفوا ان بي في النص يكون Uniform + +797 +01:00:16,030 --> 01:00:18,850 +لكن عند الأطراف يبقى Uniform هذه الشغله اللى + +798 +01:00:18,850 --> 01:00:23,670 +عملناها لكن احنا مش معنين في النط Ideal Solenoid + +799 +01:00:23,670 --> 01:00:26,850 +بس ال Solenoid ال Ideal اللى احنا معنين فيه + +800 +01:00:32,770 --> 01:00:37,390 +ماكانش VP، ومع إنه كان في هذا السيري، مش السيري + +801 +01:00:37,390 --> 01:00:42,710 +خدع بالأثر علينا، عشان ما في المجال المطمئنسي، لأ + +802 +01:00:42,710 --> 01:00:49,330 +ليش جوا مش مدرب؟ هل؟ حلو، هو إيش هو I enclosed؟ + +803 +01:00:49,330 --> 01:00:54,210 +عرفليها، مش هيعملين طبق قانون بيه dot dl بيسوي من + +804 +01:00:54,210 --> 01:00:58,150 +وعيد I enclosed؟ إيش هي I enclosed؟ تخترق إيش؟ + +805 +01:00:58,150 --> 01:01:04,060 +المصادر تخترقالمساحة اللي حددتها ان بيزلو انت لما + +806 +01:01:04,060 --> 01:01:09,300 +تجيب بي هنا هالجد مش هي بيزلو صح؟ اذا ايش بيداك؟ + +807 +01:01:09,300 --> 01:01:13,100 +بالنسبة لك الطيارات اخترقت هذه المساحة السلك هو + +808 +01:01:13,100 --> 01:01:17,460 +الأخمر في اي جزء من السلك جرب على المنطقة هذه؟ + +809 +01:01:17,460 --> 01:01:23,400 +ماعنديش اي enclosed إذا ماعندي بيزلو انت لما تقول + +810 +01:01:23,400 --> 01:01:25,460 +هذه سفر ماعنديش بيزلو + +811 +01:01:29,900 --> 01:01:34,780 +لما كنت هنا صار انت بدك الأجزاء اللي هان بتكفي + +812 +01:01:34,780 --> 01:01:38,180 +الأجزاء اللي هان وكل الأجزاء اللي هان بيخترقوا + +813 +01:01:38,180 --> 01:01:43,840 +باتجاه واحد بيجمعوا لما صار ال loop هان صرت بدك + +814 +01:01:43,840 --> 01:01:47,280 +اللي اخترقه هان و اللي اخترقه هان هذا بيخترق into + +815 +01:01:47,280 --> 01:01:52,120 +و هذا بيخترق out بيلغوا بعض لكن لما كنت أخدت هنا + +816 +01:01:52,120 --> 01:01:58,060 +بس ال out بدك تعده و ال out بتجمع هنا لا في out + +817 +01:01:58,060 --> 01:02:03,470 +ولا في intoمرايحين ها بدك هاد اخترق المساحة هاد + +818 +01:02:03,470 --> 01:02:06,710 +كلها المساحة هاد اخترق هيك و هاد اخترق هيك + +819 +01:02:06,710 --> 01:02:11,830 +وبالتالي ال vaccine بتعد كله فلغوا بعد تمام شباب؟ + +820 +01:02:11,830 --> 01:02:20,270 +في اي سفسار اخر؟ تمام اخر + +821 +01:02:20,270 --> 01:02:24,910 +حاجة ال magnetic flux تعرفوا ال electric flux؟ ال + +822 +01:02:24,910 --> 01:02:28,660 +electric flux عارفين؟طيب، هو الـEarthic Flux إيش + +823 +01:02:28,660 --> 01:02:32,860 +عرفوه؟ بيقولوا إذا كان الـEarthic Flux إيش مفهومه؟ + +824 +01:02:32,860 --> 01:02:37,720 +أيوة .. أي .. كم؟ عدد خطوط المجال التي تخترق سطح + +825 +01:02:37,720 --> 01:02:43,720 +الماء؟ جونا فيب .. في فيب مية وفي فيب هوا وفي فيب + +826 +01:02:43,720 --> 01:02:48,320 +كعربية وفي فيب مغماطيسي نفس القضية فيب كمفهوم + +827 +01:02:48,320 --> 01:02:52,300 +اختراق .. يعني لما نقول فيب المية، إيش هو؟ جدش في + +828 +01:02:52,300 --> 01:02:57,090 +مية تخترق سطح الماء؟فاية كعربية جدّيش في خطوط مجال + +829 +01:02:57,090 --> 01:03:00,530 +كعربية اختراقت سطحنا طيب فاية مغناطيسي جدّيش في + +830 +01:03:00,530 --> 01:03:03,530 +خطوط مجال مغناطيسي اختراقت سطحنا اذا المفهوم ما + +831 +01:03:03,530 --> 01:03:10,030 +اتغيراش انا هنا قولت فاية E الالكتريك سواء تركيبه + +832 +01:03:10,030 --> 01:03:17,650 +الـE دُت الـDA مظبوط ولا بقى؟ فاية مغناطيك ايه + +833 +01:03:17,650 --> 01:03:22,970 +بيكسلوا؟ ديم E وعطبي خط انتهى + +834 +01:03:24,790 --> 01:03:31,310 +لأ دي إيه؟ ها الفيض مصطلح علمي أنه دعوى باختراع + +835 +01:03:31,310 --> 01:03:35,950 +والاختراع بصير في مساحات صح ولا لأ؟ هنا امبيرز شغل + +836 +01:03:35,950 --> 01:03:40,370 +تانية هو رجع إن ال loop تكامل هو هو اللي يساوي في + +837 +01:03:40,370 --> 01:03:45,010 +I not في I enclosed تمام؟ أما كفيض بدوره نفس + +838 +01:03:45,010 --> 01:03:48,950 +القانون لأنه المفهوم علمي دره ما هو فيض أنه دعوى + +839 +01:03:48,950 --> 01:03:52,430 +باختراع حسب احطره طبعا اختراع دايما مصادح ممكن + +840 +01:03:52,430 --> 01:03:58,000 +نختلق خطبتدخلش علميا ولا عقليا ولا لغويا كي بده + +841 +01:03:58,000 --> 01:04:02,940 +اقترق .. لازم يكون الصدر هقترقه تمام بيقول as for + +842 +01:04:02,940 --> 01:04:07,360 +the magnetic flux the magnetic flux as for the + +843 +01:04:07,360 --> 01:04:11,460 +electric flux the magnetic flux for a surface لإن + +844 +01:04:11,460 --> 01:04:15,520 +ال flux مرتمك بال surface هي المفهوم تبعه is + +845 +01:04:15,520 --> 01:04:21,820 +defined as .. ياه وليش تمامThe SI unit of magnetic + +846 +01:04:21,820 --> 01:04:26,600 +flux is ايش؟ هذي تسلا على متر تربية، بظبط ولا لأ؟ + +847 +01:04:26,600 --> 01:04:33,120 +بيسموها الـ Weber ال Weber ال Weber، وها دي واحدة + +848 +01:04:33,120 --> 01:04:36,460 +مراكوا حتى ال magnetic field بيجيبوه بدلالة ال + +849 +01:04:36,460 --> 01:04:41,280 +Weber بيقولك ال magnetic field بيساوي Weber على + +850 +01:04:41,280 --> 01:04:43,360 +متر تربية، لكن مش خبيرة + +851 +01:04:46,430 --> 01:04:51,350 +أحنا أخدنا شغلة معينة قلنا for a closed surface + +852 +01:04:51,350 --> 01:04:55,510 +for a closed surface مش ممكن يقول هنا بيستوى q in + +853 +01:04:55,510 --> 01:05:00,970 +على epsilon oneصح ولا لأ؟ وقلنا نقول لو فيش دي + +854 +01:05:00,970 --> 01:05:05,710 +شحنات جديش ال flux الكهربائي على أي سطح مغلق؟ Zero + +855 +01:05:05,710 --> 01:05:08,890 +طب لو فيه شحنات واحدة موجبة واحدة سالبة، جديش؟ + +856 +01:05:08,890 --> 01:05:13,170 +يعني هي عندك closed surface فيه هنا إلكيون وفيه + +857 +01:05:13,170 --> 01:05:18,610 +هنا بروتون، مين يقول جديش ال flux؟ Zero صح؟ فهم + +858 +01:05:18,610 --> 01:05:22,610 +مجال مستفيد، احنا بقول ال flux احنا موضوعنا عن ال + +859 +01:05:22,610 --> 01:05:30,860 +flux، طب حلو، في مجالجوا أي سيف اسمه مغلق يكون عدد + +860 +01:05:30,860 --> 01:05:34,920 +الأقطاب الشمالية أكتر من عدد الأقطاب الجنوبية في + +861 +01:05:34,920 --> 01:05:39,460 +مجال مستحيلمظبوط ولا لأ؟ لأن العمل متفقين في + +862 +01:05:39,460 --> 01:05:43,200 +إمكانية أن أفصل الشمال عن الجنوب؟ مافيش مجال إذا + +863 +01:05:43,200 --> 01:05:46,380 +إيش بيقولوا ليه؟ بيقولوا since no monopoles مافيش + +864 +01:05:46,380 --> 01:05:50,180 +إمكانية تجيبوا لحاله mono يعني فارض دي since no + +865 +01:05:50,180 --> 01:05:54,240 +monopole can be isolated in nature we can conclude + +866 +01:05:54,240 --> 01:06:00,860 +that 5B لأي سطح مغلق لازم يساوي zero هدفي إغلاق + +867 +01:06:00,860 --> 01:06:07,410 +هنا لأي سطح مغلق بتساوي zeroإذا المقناته في + +868 +01:06:07,410 --> 01:06:10,290 +المغناطسية ما زال السطح مغلق، قدّيش تفرقص عليه، + +869 +01:06:10,290 --> 01:06:15,550 +بدون أي سبب، على طول، وانت مغمض، لأنه مافيش مجال + +870 +01:06:15,550 --> 01:06:19,710 +يكون دوة بيه سحنات أو أقطاب، إذا بديوا يكونوا في + +871 +01:06:19,710 --> 01:06:21,770 +أقطاب الشمال يبقوا جنوبي، قطعا + +872 +01:06:24,390 --> 01:06:28,950 +That is, the magnetic flux through any closed + +873 +01:06:28,950 --> 01:06:32,710 +surface is always zero في الكعبية أش كان يقول ليه؟ + +874 +01:06:32,710 --> 01:06:35,670 +The electric flux through any closed surface is + +875 +01:06:35,670 --> 01:06:39,530 +zero if q in بتسوي زيرو، مصبوط ولا؟ بس هنا ماجليش + +876 +01:06:39,530 --> 01:06:43,590 +F لأنه دايما هذه ال F موجودة ومتحققةلأن هناك لا + +877 +01:06:43,590 --> 01:06:48,510 +مونو بولز مافيش إمكانية تجيب إنت أقطاب مفردة دائما + +878 +01:06:48,510 --> 01:06:52,570 +الشمالي و الجنوب بسوء واحد وبالتالي النقطة بولز + +879 +01:06:52,570 --> 01:06:57,670 +بسوء Zero فال magnetic flux هذا دائما هذا اتجاههم + +880 +01:06:59,710 --> 01:07:03,550 +طبعا ايه المثل عليكي ماكملهوش بس خلينا نشوف ايش + +881 +01:07:03,550 --> 01:07:08,290 +اللي موجود بيقول find the magnetic flux through + +882 +01:07:08,290 --> 01:07:12,690 +the rectangular loop shown which lies on the right + +883 +01:07:12,690 --> 01:07:16,930 +of a long wire of current I بيقول يبدي ال flux على + +884 +01:07:16,930 --> 01:07:20,290 +المساحة الصفراء هل المساحة مغلقة؟ + +885 +01:07:23,110 --> 01:07:26,190 +شوفوا دي باكم اللوب المغلق غير المساحة المغلقة + +886 +01:07:26,190 --> 01:07:31,850 +اللوب المغلقة بتحوط مساحة المساحة المغلقة بتحوط + +887 +01:07:31,850 --> 01:07:37,980 +حجماللوب المغلقة بتحوط مساحة بتديك مساحة لكن + +888 +01:07:37,980 --> 01:07:41,660 +المساحة المغلقة بيصيه جواهش في حجم عشان كده يقولون + +889 +01:07:41,660 --> 01:07:45,920 +الكورة غير عن الدائرة الكورة سطح مغلق لإنه جواها + +890 +01:07:45,920 --> 01:07:51,440 +حجم الاستوانة سطح مغلق لإنه جواها عجل تماما هنا + +891 +01:07:51,440 --> 01:07:56,870 +هذه مستطيل هذه لوب مغلقةحدثت مساحة بس مساحة مفتوحة + +892 +01:07:56,870 --> 01:08:01,010 +مش مغلقة تمام؟ لأنه لو مساحة مغلقة كان جولة صفر و + +893 +01:08:01,010 --> 01:08:05,030 +رايحت حالي صح ولا لأ؟ تمام بيقول يأوضج ال flux على + +894 +01:08:05,030 --> 01:08:08,530 +هذه ايش هو ال flux بيساوي؟ عدد خطوط المجال اللي + +895 +01:08:08,530 --> 01:08:15,450 +تخترق سطح الماء وصار هي قانونها عشان + +896 +01:08:15,450 --> 01:08:19,050 +مساحة يكون عليها flux لازم يكون فيها B فيها B + +897 +01:08:19,050 --> 01:08:27,700 +المساحة هذه من وين جاي B؟من السلك هذا صح ولا لأ مش + +898 +01:08:27,700 --> 01:08:30,580 +هذا السلك بيولد مجال مغناطيسي كيف اتجاهه على + +899 +01:08:30,580 --> 01:08:34,440 +المساحة الصفراء داخل طبعا لو المساحة الصفراء هنا + +900 +01:08:34,440 --> 01:08:39,300 +كان كيف بيصير تجاهه خارج اذا الفيدي فبيجيب قيمته + +901 +01:08:39,300 --> 01:08:42,900 +وليش حق قيمته هذا سلك طويل تقدر تجيب من قيمته مش + +902 +01:08:42,900 --> 01:08:48,250 +حثق قيمته انطلع للفاكستمام لو جيه قانون ال flux + +903 +01:08:48,250 --> 01:08:51,970 +بيقوللي هاي قانونة كده بتبدأ تحل هاي ال flux هاي + +904 +01:08:51,970 --> 01:08:55,970 +قانونها بدك بيه in the magnetic field created by + +905 +01:08:55,970 --> 01:09:03,750 +the wire given by هذا ال wire الأخضر سلك طويل long + +906 +01:09:03,750 --> 01:09:07,230 +wire long wire السلك الطويل إيه القيمة ممكنش حتى + +907 +01:09:07,230 --> 01:09:12,390 +ده هو طبعا هذا مش محفوظ يا بابي اعطاه لكم اعطاه + +908 +01:09:12,390 --> 01:09:18,570 +لكم كيف اتجاهه قولنا؟هك اتجاهه ولا لأ؟ هك اتجاهه + +909 +01:09:18,570 --> 01:09:27,910 +صح طلع نبدأ نشتغل هل بقدر اطلع بيه براك بقى؟ ليه + +910 +01:09:27,910 --> 01:09:33,890 +هكذا؟ او متغيرة فهم ماقدرش اطلع زي معناته ان انت + +911 +01:09:33,890 --> 01:09:36,630 +ناصر عنك وانت حاسب التكامل ده كيف احسبه؟ بدك دي + +912 +01:09:36,630 --> 01:09:40,630 +ايه؟ صح؟ بدك دي ايه؟ دي ايه ايش بتعني هناك؟ + +913 +01:09:46,990 --> 01:09:51,370 +أحسن حل رياضي يكون انك تاخد هذه المساحة + +914 +01:09:56,100 --> 01:10:00,700 +تكامل مزدوج اللي ماخدينه كقلص متقدم دي اكس و دي + +915 +01:10:00,700 --> 01:10:03,760 +واي طيب واحد بيقولك طب هو انت بيعمل ايه مش لزاجت + +916 +01:10:03,760 --> 01:10:07,120 +فيك ممكن انا اعتبر هذه المساحة عبارة عن عصي ينبأت + +917 +01:10:07,120 --> 01:10:11,700 +انما عصر عمودية او عصر وفقية ولا لأ صح ولا لأ طيب + +918 +01:10:11,700 --> 01:10:13,720 +اخد عصر وفقية ولا اخد عصر عمودية + +919 +01:10:16,780 --> 01:10:20,180 +ليش؟ الأفقية بتحلل كتش المشكلة لإن الأفق يبقى + +920 +01:10:20,180 --> 01:10:25,420 +لغنجال بي متغير عليه العمودي لما تاخد عصاية زي بي + +921 +01:10:25,420 --> 01:10:30,240 +عليها ثاتة فخد عصي عموديات عشان تحللك إشكالات ال X + +922 +01:10:30,240 --> 01:10:34,680 +و ال Y فبيقولي the magnetic field is not constant + +923 +01:10:34,680 --> 01:10:38,660 +عشان ال magnetic field is not constantover the + +924 +01:10:38,660 --> 01:10:41,420 +surface of the rope we have to divide the surface + +925 +01:10:41,420 --> 01:10:47,040 +لازم تجسم ال surface ل DA's each of area DA وهي ال + +926 +01:10:47,040 --> 01:10:50,280 +area اللي بدي أخدها هاي الخط الأحمر هدي يزوم + +927 +01:10:50,280 --> 01:10:54,500 +المساحة ولا لأ؟ أكم خط أحمر فيه المساحة بتعمل؟ كذا + +928 +01:10:54,500 --> 01:11:01,620 +واحد فحن حاجات جديش DA من يقولي جديش DA هنا؟ جديش + +929 +01:11:01,620 --> 01:11:06,120 +المساحة هذه الحمراء لإن مستطيل صغير الطول في العرض + +930 +01:11:06,120 --> 01:11:12,690 +الطول بيه ولا مش بيه؟والعرض DX و لا DR فعلا تكمل + +931 +01:11:12,690 --> 01:11:16,430 +وبعدين بتشتغلها عملها بسرعة وبعدين باعدها بيعتبر + +932 +01:11:16,430 --> 01:11:21,930 +هذه DR إذا المساحة A بيه DR ثم بيقولك هذه بتجيبتها + +933 +01:11:21,930 --> 01:11:28,830 +صارت B DR وهذه هيها عوّد فبيشوفوا الدقة production + +934 +01:11:28,830 --> 01:11:35,920 +بقىكيف بيه اتفاق من اتجاهها بيه؟ كيف اتجاهها؟ بس + +935 +01:11:35,920 --> 01:11:41,520 +الداخل مين يقول يجيديش المساحة اتجاهها؟ المساحة + +936 +01:11:41,520 --> 01:11:47,920 +كيف اتجاهها؟ مساحة الصفراء اتجاهها كيف؟فعلا زي + +937 +01:11:47,920 --> 01:11:52,120 +اللي برا ولا اللي جوه إذا اللي جوه زي 180 في نهايه + +938 +01:11:52,120 --> 01:11:56,580 +بييتها سالب فعلا عجبا أنت هياخدها معاتدها بيه هنا + +939 +01:11:56,580 --> 01:12:01,500 +أخدتها عكس سالب مش قضية إذا بدكت بداك تروحت دي + +940 +01:12:01,500 --> 01:12:10,340 +إعرفتها بمعطية بذكية كامل هاي أه ولمّا جيبها ذهبت + +941 +01:12:10,340 --> 01:12:15,800 +وعملت هلجيت هاي كل العراصر تبعتيعشان اعرف حدود + +942 +01:12:15,800 --> 01:12:19,860 +التكامل انا عايش بكامل في الآخر ماشي على DR من هنا + +943 +01:12:19,860 --> 01:12:26,200 +و هنا من C ل C زاد A هك بكون انا اخدت كل المساحات + +944 +01:12:26,200 --> 01:12:30,720 +و بخلص الجواب اذا لما يكون عند بي is not uniform + +945 +01:12:30,720 --> 01:12:34,160 +مضطر اجيب DA بنكمل المرة الجاية بعيدا + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM.srt new file mode 100644 index 0000000000000000000000000000000000000000..9af2c68157e62258a33101cf944ae4fef4776590 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM.srt @@ -0,0 +1,2489 @@ +1 +00:00:00,000 --> 00:00:02,660 +موسيقى + +2 +00:00:17,300 --> 00:00:22,280 +بسم الله الرحمن الرحيم نستأنف الأمثلة على قانون + +3 +00:00:22,280 --> 00:00:27,800 +جاووس أول test عملناه أنه جبنا شدة المجال for + +4 +00:00:27,800 --> 00:00:32,520 +a point charge applying Gauss's law وشفنا أنه + +5 +00:00:32,520 --> 00:00:39,910 +النتيجة واحدة طلع الجواب kq over r² as expected هذا + +6 +00:00:39,910 --> 00:00:43,550 +المثال الأول عشان يعطينا اطمئنان أن قانون جاووس + +7 +00:00:43,550 --> 00:00:49,530 +applicable for some configurations نعيد أن قانون + +8 +00:00:49,530 --> 00:00:56,270 +جاووس لا ينطبق إلا على ثلاث حالات منهمش رابع الاشكال + +9 +00:00:56,270 --> 00:01:01,250 +الكروية بجميع حالاتها وبجميع أحجامها الشغلات + +10 +00:01:01,250 --> 00:01:04,810 +الأسطوانية يعني الأجسام المشحونة لو كانت أسطوانية + +11 +00:01:04,810 --> 00:01:09,790 + بشرط أن تكون طويلة جدا أستطيع تطبيق قانون جاووس + +12 +00:01:09,790 --> 00:01:16,150 +عليها والاشكال المسطحة برضه مشروطة بكبرها بحيث أن + +13 +00:01:16,150 --> 00:01:19,930 +تكون with infinite extents هذه الحالات اللي بنطبق + +14 +00:01:19,930 --> 00:01:22,910 +عليها قانون جاووس ذات كده عشان أطبق قانون جاووس + +15 +00:01:22,910 --> 00:01:28,640 +مطلوب مني أختار الـ Closed Gaussian Surface وهذا + +16 +00:01:28,640 --> 00:01:33,140 +الـ Gaussian Surface Hypothetical يعني خيالي وهمي + +17 +00:01:33,140 --> 00:01:37,490 +أنا بحطه وبالتالي ما بيكونش عليه شحنات ما هو همي؟ من + +18 +00:01:37,490 --> 00:01:41,490 +وين بدو يجي الشحنات عليه؟ تمام؟ وبعد هيك بكمل و + +19 +00:01:41,490 --> 00:01:44,910 +بلاقي أن الجواب بطلع كتير سهل فكان ال example + +20 +00:01:44,910 --> 00:01:50,470 +الحقيقي اللي هنطبق عليه قانون جاووس لإيجاد شدة + +21 +00:01:50,470 --> 00:01:55,570 +المجال الكهربائي بقول a thin spherical shell of + +22 +00:01:55,570 --> 00:02:00,850 +radius a has a total charge capital Q uniformly + +23 +00:02:00,850 --> 00:02:04,210 +distributed over its surface طبعا its surface لأنه + +24 +00:02:04,210 --> 00:02:07,910 +من جوا فاضي وبالتالي الشحنات بتكون على السطح هاي + +25 +00:02:07,910 --> 00:02:12,610 +الرسمة .. طبعا هيدي مش ring هيدي shell عشان الرسمة + +26 +00:02:12,610 --> 00:02:16,450 +مرات بيتخيل الطالب أنها عبارة عن ring دي خربت هيدي + +27 +00:02:16,450 --> 00:02:19,810 +sphere بس من جوا فاضية وفي فرق ما بين ال ring + +28 +00:02:19,810 --> 00:02:24,210 +الدائرة وبين ال sphere ف أنا بتعامل مع ال sphere بس من + +29 +00:02:24,210 --> 00:02:28,690 +جوا فاضية عشان كده الشحنات موجودة على السطح لو + +30 +00:02:28,690 --> 00:02:32,250 +كانت ring بصير الشحنات على محيط صح ولا لأ لأ لكن + +31 +00:02:32,250 --> 00:02:38,120 +هي surface هيك و نسخة ايه زي ما حكى المطلوب find + +32 +00:02:38,120 --> 00:02:42,120 +the magnitude of the electric field at a point + +33 +00:02:42,120 --> 00:02:47,340 +لازم دائما يقولي where we have to evaluate E فهو + +34 +00:02:47,340 --> 00:02:52,120 +هنا معطيني evaluate E at a point outside the shell + +35 +00:02:52,120 --> 00:02:56,480 +و and at a point inside the shell يقولي أي نقطة + +36 +00:02:56,480 --> 00:03:01,180 +أختارها بس تكون برا مرة ومرة جوا تمام؟ سَلُوشْ نبدأ + +37 +00:03:01,180 --> 00:03:06,340 +باللي برا نختار نقطة + +38 +00:03:06,340 --> 00:03:10,020 +عشوائية + +39 +00:03:10,020 --> 00:03:13,320 +نختار نقطة عشوائية نختار نقطة عشوائية نختار نقطة + +40 +00:03:13,320 --> 00:03:19,960 +عشوائية نختار نقطة عشوائية نختار نقطة عشوائية + +41 +00:03:19,960 --> 00:03:21,200 +نختار نقطة عشوائية نختار نقطة عشوائية نختار نقطة + +42 +00:03:21,200 --> 00:03:21,360 +عشوائية نختار نقطة عشوائية نختار نقطة عشوائية + +43 +00:03:21,360 --> 00:03:23,600 +عشوائية نختار + +44 +00:03:26,180 --> 00:03:30,080 +يجب أن نختار إذا قانون جاووس قادر على استخدامه أو + +45 +00:03:30,080 --> 00:03:33,100 +لا. كيف يعني؟ هل ينطبق قانون جاووس على هذا الشكل + +46 +00:03:33,100 --> 00:03:37,360 +ولا لا؟ هذه أول test اللي عندي المعلومة أنه ينطبق + +47 +00:03:37,360 --> 00:03:40,560 +فقط على ثلاث أنواع أشكال كروية أشكال الأسطوانية + +48 +00:03:40,560 --> 00:03:44,000 +طويلة جدا أشكال مسطحة كبيرة جدا الشكل المشحون + +49 +00:03:44,000 --> 00:03:49,020 +كيف؟ كروية ينطبق قانون جاووس إذا أول test عملته + +50 +00:03:49,020 --> 00:03:55,500 +نجح الان نبدأ نشتغل الخطوة التالية أختار سطح وهمي + +51 +00:03:55,500 --> 00:04:00,460 +سمي gaussian surface and should have the same + +52 +00:04:00,460 --> 00:04:03,580 +symmetry of the charge distribution, the charge + +53 +00:04:03,580 --> 00:04:06,280 +distribution is spherical إذا سطح جاووس بيكون + +54 +00:04:06,280 --> 00:04:09,780 +كروي صح ولا لأ احنا حاولنا سطح جاووس اللي بدي + +55 +00:04:09,780 --> 00:04:14,580 +أختاره لازم يكون بيشبه الجسم المشحون الجسم المشحون + +56 +00:04:14,580 --> 00:04:15,460 +كيف شكله؟ + +57 +00:04:20,650 --> 00:04:25,570 +النقطة الثانية أن ال point should lie on the + +58 +00:04:25,570 --> 00:04:28,470 +surface on the Gaussian surface إذا صارت واضحة + +59 +00:04:28,470 --> 00:04:32,310 +الأمور since the charge distribution is spherical + +60 +00:04:32,310 --> 00:04:37,010 +we choose a spherical Gaussian surface concentrically + +61 +00:04:37,010 --> 00:04:41,310 +with the shell متحدة المركز مع ال shell فهي سطح جاووس + +62 +00:04:41,310 --> 00:04:46,580 +معاه هذه سطح جاووس واتفقنا احنا عاملينه منقط عشان + +63 +00:04:46,580 --> 00:04:49,900 +to ensure that it is a hypothetical surface .. to + +64 +00:04:49,900 --> 00:04:53,620 +ensure that it is a hypothetical surface وبالتالي + +65 +00:04:53,620 --> 00:04:59,480 +منقط يعني هو مش حقيقي احكي لازم تكون موجودة بدونها + +66 +00:04:59,480 --> 00:05:04,580 +بتتوقف يعني لو واحد ما رسمش Gaussian Surface وبدأ حل + +67 +00:05:04,580 --> 00:05:08,660 +بيكون بايظ مش عارف اللي بيسويه لأنه أنت كيف بيسوي + +68 +00:05:08,660 --> 00:05:12,100 +علاجاء السطح أنت مش راسمه كيف أنا بدي أدور عليك أقولك + +69 +00:05:12,100 --> 00:05:16,580 +أنت وين ال qn وين ايه اللي السطح بدي أعرف وين هو + +70 +00:05:17,100 --> 00:05:21,600 +تمام؟ إذا هذه خطوة مركزية، أن سطح جاووس لازم يبين في + +71 +00:05:21,600 --> 00:05:26,560 +الرسمة، لابد، وإلا كانت تشتغل جاهز، تمام؟ بعد ما + +72 +00:05:26,560 --> 00:05:29,660 +عملتها وعيسمته Gaussian Surface، واضح إن هذا هو + +73 +00:05:29,660 --> 00:05:33,320 +Gaussian Surface، لازم تكون موجودة كخطوة مركزية + +74 +00:05:33,320 --> 00:05:38,340 +وضرورية it is clear طبعا إذا جيت بعد ما أنا اشتغلت + +75 +00:05:38,340 --> 00:05:44,140 +مفروض زي ما شرح لي أو أقنعني أن يكون الآن أمنت أن E + +76 +00:05:44,140 --> 00:05:48,860 +is constant over the surface صح ولا لأ الآن السطح + +77 +00:05:48,860 --> 00:05:54,200 +جاووسي ال surface اتداشت ات dotted هذا المنقط طول + +78 +00:05:54,200 --> 00:06:00,200 +ما أنت ماشي عليه هال E بتتغير؟ لأ قطعا إذا أنت حصل + +79 +00:06:00,200 --> 00:06:05,840 +اختيارك لسطح جاووس هو اللي بيأملك ثابت E on the + +80 +00:06:05,840 --> 00:06:08,860 +surface وهي لو أنا أختار السطح غير هذا السطح ايه + +81 +00:06:08,860 --> 00:06:12,860 +بتكون الثابتة؟ لو واحد حكى أنا بدي سطح مغلق جاووس + +82 +00:06:12,860 --> 00:06:18,220 +حكى أنا closed surface بدي أختار متوازي مستطيلات + +83 +00:06:18,890 --> 00:06:21,570 +متوازي مستطيلات تشوفوا أنتو هي متوازي مستطيلات + +84 +00:06:21,570 --> 00:06:24,350 +الغرفة ولا لا اتصوروا الكرة مش هنا محطوطة في النص + +85 +00:06:24,350 --> 00:06:30,190 +واتخيلوا أي surface من الغرفة هل بيكون طول ما أنت + +86 +00:06:30,190 --> 00:06:33,810 +ماشي على ال surface على أبعاد متساوية من الكورة لأ + +87 +00:06:33,810 --> 00:06:37,950 +إذا ايه not constant إذا لو أنت ال Gaussian + +88 +00:06:37,950 --> 00:06:43,330 +surface مش كروي ايه will not be constant تمام؟ + +89 +00:06:43,330 --> 00:06:47,310 +وبطبعا وزي ما فيها مشكلة وبالتالي أنا بأحكي أن + +90 +00:06:47,310 --> 00:06:53,130 +لازم سطح جاووس يكون نفس الشكل عشان هدف وحيد بس عشان + +91 +00:06:53,130 --> 00:06:58,670 +في الآخر ثبات ال E لأن قانون جاووس اللي بشتغل عليه + +92 +00:06:58,670 --> 00:07:06,550 +بيقول تكامل المغلق ل E ضد ال DA بتساوي QN على إبسيلون نوت صح ولا لأ؟ أنا جيت هذا التكامل إذا هذه E ما + +93 +00:07:06,550 --> 00:07:11,430 +طلعتش برا ملزم أجيب علاقة بين E و A صح ولا لأ؟ طب + +94 +00:07:16,650 --> 00:07:19,470 +وأنت بتجيب علاقة و E مش معروف لسه؟ طب + +95 +00:07:19,470 --> 00:07:22,150 +أنت مطلوب أنك تجيب E كيف أنك تجيب علاقة؟ إذا جيبت + +96 +00:07:22,150 --> 00:07:27,550 +علاقة خلصت إتصال إذا موية إنك تجيب علاقة لأن E is + +97 +00:07:27,550 --> 00:07:33,660 +not known بالتالي الحل الوحيد أنك تشغل بقانون جاووس + +98 +00:07:33,660 --> 00:07:39,780 +أنه must be constant يطلع برا بصير تكامل ال DA + +99 +00:07:39,780 --> 00:07:45,420 +وإلا إذا مش ثابت تقدرش تعمل حاجة بتحط القانون و + +100 +00:07:45,420 --> 00:07:50,690 +بتتفرج عليه ولا خطوة تقدر تخطو بعد كده كيف هيكون + +101 +00:07:50,690 --> 00:07:54,130 +ثابت؟ الخطوات اللي حكينا عنها لازم الجسم يكون أما + +102 +00:07:54,130 --> 00:07:57,970 +كروي أو أسطواني طويل جدا الجسم المشحون أنا قصدي أو + +103 +00:07:57,970 --> 00:08:01,610 +مستوي كبير جدا لازم سطح جاووس اللي بتختار يكون يشبه + +104 +00:08:01,610 --> 00:08:07,550 +الجسم المشحون وإلا هذا الشرط لا يتحقق إطلاقا واضح + +105 +00:08:07,550 --> 00:08:14,180 +يا شباب؟ طبعا بعد احنا جيت بعد ما عملنا تأكدنا + +106 +00:08:14,180 --> 00:08:16,760 +أنه ايه ال constants بتطلعها برا فيه مشكلة dot + +107 +00:08:16,760 --> 00:08:20,380 +product بتشتغل أنا وياكم عليها dot product بتعطي + +108 +00:08:20,380 --> 00:08:26,980 +cosine theta بين E و A صح ولا لأ جيت E لازم + +109 +00:08:26,980 --> 00:08:31,500 +تكون باتجاه أنصاف الأقطار لو جيت أنا بدأت أرسم يا شباب + +110 +00:08:31,500 --> 00:08:37,080 +E من الشكل الأحمر هيجيني E هيك و E هيك دي جانسة في + +111 +00:08:37,080 --> 00:08:41,980 +الأقطار و E هيك وهكذا بدل ما أنا مش عارف ايه صح + +112 +00:08:41,980 --> 00:08:46,840 +ولا لأ لازم يكون هيك طيب لو بدي أجيب عند أي نقطة + +113 +00:08:46,840 --> 00:08:49,340 +لسطح جاووس A هنا كيف بدي أرسمها + +114 +00:08:52,510 --> 00:08:58,630 +طب هنا هيك طب هنا هيك كده ايش الزاوية بينهم؟ Zero إذا + +115 +00:08:58,630 --> 00:09:02,570 +الدكتور برضه اتحلت مشكلته تمام بيقول it is clear + +116 +00:09:02,570 --> 00:09:05,590 +that E is normal to the surface at every point in + +117 +00:09:05,590 --> 00:09:09,390 +the Gaussian surface that is E and DA are parallel + +118 +00:09:09,390 --> 00:09:14,290 +يعني E و DA بينهم زاوية Zero أنا هنا طبعا هي خط + +119 +00:09:14,290 --> 00:09:17,490 +المجال الأخضر اللي أنا رسمته بدل واحد من الحمر أخدت + +120 +00:09:17,490 --> 00:09:21,230 +واحد منهم طبعا خط المجال بيبدأ من الشحنات من الجزر + +121 +00:09:21,230 --> 00:09:25,750 +الأحمر صح ولا لأ؟ وايه .. هيدي القانون .. هيدي لمين + +122 +00:09:25,750 --> 00:09:30,030 +يا شباب؟ بصحة ايش هيدي؟ الجسم المشحون ولا سطح المغلق؟ + +123 +00:09:30,030 --> 00:09:34,990 +السطح جاووس .. السطح جاووس فهيدي for gaussian + +124 +00:09:34,990 --> 00:09:42,090 +surface هيدي + +125 +00:09:42,090 --> 00:09:44,810 +تبقى دي ايه؟ طب gaussian surface يعني ايه؟ ايه؟ من + +126 +00:09:44,810 --> 00:09:50,210 +وين بتيجي؟ من هنا مش من الحمراء من المتجه ف ايه ارسم + +127 +00:09:50,210 --> 00:09:52,730 +دي ايه عندي النقطة هاي الصمرة انطبقوا على بعض ولا + +128 +00:09:52,730 --> 00:09:56,990 +انطبقوش انطبقوا characters إذا زاوية Zero وما زالت + +129 +00:09:56,990 --> 00:10:01,630 +زاوية Zero أصبحت عندي ال dot of product راحت فصرت + +130 +00:10:01,630 --> 00:10:07,770 +E طلعتها برا ال dot of product equal to one دي ايه؟ + +131 +00:10:07,770 --> 00:10:13,650 +ايش تكملها؟ A بتساوي Q in over ي نوت .. Q in over ي + +132 +00:10:13,650 --> 00:10:18,970 +نوت .. what is Q in؟ what we mean by Q in؟ داخل + +133 +00:10:18,970 --> 00:10:24,150 +مين؟ داخل سطح جاووس .. جيت أي واحد أقوله فيه جوا + +134 +00:10:24,150 --> 00:10:29,830 +شحنات Gaussian surface داخله مش عليه .. داخله .. + +135 +00:10:29,830 --> 00:10:34,120 +فيه شحنات أو مافيه شحنات؟ ازميركم هذا جوه الغرفة + +136 +00:10:34,120 --> 00:10:36,240 +ولا مش جوه الغرفة؟ عشان يكون جوه الغرفة يجب يكون + +137 +00:10:36,240 --> 00:10:40,260 +ملزق بالحيطة؟ ايه جوه الغرفة؟ هذه الشكل الأحمر جوه + +138 +00:10:40,260 --> 00:10:43,180 +سطح جاووس ولا مش جوه سطح جاووس؟ في جوه سطح جاووس + +139 +00:10:43,180 --> 00:10:48,280 +شحناته ولا لا؟ قد ايش مقدارها؟ كلها .. كلها .. في أي + +140 +00:10:48,280 --> 00:10:52,160 +واحد من الشحنات طالع برا بديش إياه؟ كله طب كله + +141 +00:10:52,160 --> 00:11:00,260 +قد ايش مقداره؟ كامة على إبسيلون معناته شباكالـ QN سهل + +142 +00:11:00,260 --> 00:11:07,240 +أتعامل معاها الـ QN هيدي هي Q هي هيدي صح ولا لأ + +143 +00:11:07,240 --> 00:11:13,940 +كلها جوا في جزء من الشحنة بتأرجع برا بديش أحسبه كله + +144 +00:11:13,940 --> 00:11:20,840 +بديه إذا الـ QN بتساوي Q على إبسيلون نوت صح يا شباب + +145 +00:11:20,840 --> 00:11:26,400 +طيب ايه هذه صعب أجيبها مساحة لـ Gaussian Surface + +146 +00:11:26,400 --> 00:11:30,080 +هجيب أكتب 4 باي a² والله 4 باي R + +147 +00:11:30,080 --> 00:11:35,740 +تربيع R تربيع لأنه هذه سطح جاووس So we have to be + +148 +00:11:35,740 --> 00:11:40,660 +carefully هنا لو حاطيت A تربيع السؤال الثالث تلبحه + +149 +00:11:40,660 --> 00:11:45,200 +بيروح عليك لو حطيت بالي ال R ايه فتتربقى السؤال راح + +150 +00:11:45,200 --> 00:11:48,720 +لأن أنت بطلت تجيب التكامل على gaussian surface + +151 +00:11:48,720 --> 00:11:52,400 +صارت تجيب التكامل على الجسم المشحون وأنا هنا بقول + +152 +00:11:52,400 --> 00:11:55,880 +جاووس هذا التكامل على سطح جاووس وسطح جاووس أنت + +153 +00:11:55,880 --> 00:12:00,100 +اللي اشتغلته وأنت اللي حاطيته فهذه مساحة سطح جاووس + +154 +00:12:00,100 --> 00:12:05,180 +مش مساحة الجسم المشحون واضح يا شباب فهذه ال QM + +155 +00:12:05,180 --> 00:12:07,560 +فعملناها الآن بطيئة + +156 +00:12:11,220 --> 00:12:19,380 +معروفة بتساوي 4 باي a² or r² not a² تمت طلع + +157 +00:12:19,380 --> 00:12:28,540 +الجواب خلاص انتهت السؤال الآن the second أحكي ليه + +158 +00:12:28,540 --> 00:12:36,870 +جيت المساحة دي زادت لو هو أكبرش الفرقس طيب أنا جيت + +159 +00:12:36,870 --> 00:12:41,210 +بدي بالفلكس قاعد ولا بدي بمجال هذا الفلكس اللي + +160 +00:12:41,210 --> 00:12:45,590 +بتأثرش the + +161 +00:12:45,590 --> 00:12:51,050 +second we have to find the electric field at a + +162 +00:12:51,050 --> 00:12:57,290 +point inside the shell inside the shell تمام طبعا + +163 +00:12:57,290 --> 00:12:58,430 +في النقطة هذه + +164 +00:13:03,150 --> 00:13:08,510 +هذه سطح جاووس صح ولا لأ لأن سطح جاووس عنده شرط لازم + +165 +00:13:08,510 --> 00:13:12,670 +النقطة تكون واقعة عليه مظبوط ولا لأ كروي كروي + +166 +00:13:12,670 --> 00:13:16,730 +النقطة عليه النقطة عليه النقطة تغيرت هو بلحاجها + +167 +00:13:16,730 --> 00:13:22,410 +هذه سطح جاووس ثم كمان مرة يقول it is clear that + +168 +00:13:22,410 --> 00:13:25,290 +there is no charge inside the Gaussian surface + +169 +00:13:25,290 --> 00:13:27,650 +Gaussian surface شايفينه يا شباب هذه Gaussian + +170 +00:13:27,650 --> 00:13:34,370 +surface جوا في شحنات في أي منطقة حمرا جوا إذا الـ Q + +171 +00:13:34,370 --> 00:13:40,350 +in قد ايش؟ Zero That is Q in equal to zero سهلة إذا + +172 +00:13:40,350 --> 00:13:45,210 +معناته E بتساوي Zero؟ إذا E بتساوي Zero؟ هنا + +173 +00:13:45,210 --> 00:13:51,570 +الشغل سهل جدا وما بدهاش أي شغل ولا أي تفكير خلاص + +174 +00:13:51,570 --> 00:13:55,690 +بنص سطر بقول since Q in equal to zero إذا E equal + +175 +00:13:55 + +201 +00:15:44,550 --> 00:15:51,470 +زي المثال السابق إيش يفرقك؟ بقولي the solution again لأ + +202 +00:15:51,470 --> 00:15:57,330 +مصممة .. النقطة .. أقول لك أنا أحط sphere أو أحط shell + +203 +00:15:57,330 --> 00:16:02,390 +بتفرقش كتير لكن هو إذا بدك أحط sphere أنت لما تقول + +204 +00:16:02,390 --> 00:16:06,290 +جوا و برا معناته جوا و برا إيش؟ السطح فممكن يتجاوزك + +205 +00:16:06,290 --> 00:16:08,930 +تقول shell لكن هو خليه sphere، تمام؟ + +206 +00:16:22,260 --> 00:16:25,180 +الحل الأول اللي بنطبق عليها قانون جاوس + +207 +00:16:25,180 --> 00:16:30,260 +الأشكال الكروية حالياً الشكل كروي ولا لا؟ كروي إذا + +208 +00:16:30,260 --> 00:16:36,370 +the test is success ما فيش مشكلة عندي الخطوة التالية + +209 +00:16:36,370 --> 00:16:40,130 +بتختار سطح جاوس ولا لأ؟ ما زال قانون جاوس ينطبق + +210 +00:16:40,130 --> 00:16:44,610 +الخطوة الأولى بعد ذلك اختيار سطح جاوس وهو سطح مغلق + +211 +00:16:44,610 --> 00:16:49,210 +لازم يشبه الشكل المشحون الشكل المشحون كروي السطح + +212 +00:16:49,210 --> 00:16:52,730 +اللي بتختاره إيش كروي واحنا اتفقنا سطح جاوس حيكون + +213 +00:16:52,730 --> 00:16:58,300 +بس حالتين لا كروية بس و أنا ذاكرينها تمام؟ مرة أخرى + +214 +00:16:58,300 --> 00:17:02,360 +لأن الـspherical symmetry للشبكات التي نختارها + +215 +00:17:02,360 --> 00:17:07,460 +a spherical Gaussian surface افريدي متساومة + +216 +00:17:07,460 --> 00:17:11,580 +بالـspherical هل بالنقطة اللي بدي أحسن عنها شدة في + +217 +00:17:11,580 --> 00:17:16,990 +مجال الشباب؟ وهل البعد R و R وهل سطح الجاز؟ نفس + +218 +00:17:16,990 --> 00:17:22,250 +الطبيعة عالية نفس الطبيعة ولا في شيء كمان مرة بيقول + +219 +00:17:22,250 --> 00:17:24,990 +لي هاي جاوس الـ surface as for the case in the + +220 +00:17:24,990 --> 00:17:27,250 +previous example زي ما حكيت لكم زي المرة + +221 +00:17:27,250 --> 00:17:33,550 +الماضية E ثابتة على السطح المحدد ولا لأ و E و E + +222 +00:17:33,550 --> 00:17:37,590 +parallel يعني الزاوية zero يعني الـ product راحت + +223 +00:17:37,590 --> 00:17:44,570 +فبيصير عندي المشكلة هي هذه بس كلها بديها في جزء منها + +224 +00:17:44,570 --> 00:17:49,070 +ما بديش إياه لأ كلها بديها إذا E في A بتساوي Q على + +225 +00:17:49,070 --> 00:17:56,210 +إبسيلون نوت أو E هذه Substituting for A بي A بتساوي 4 + +226 +00:17:56,210 --> 00:18:02,190 +πي R square كمان بغى A equal 4 πي R square not 4 + +227 +00:18:02,190 --> 00:18:05,690 +بي A square صح ولا لأ لأن هذه مساحة سطح جاوس اللي + +228 +00:18:05,690 --> 00:18:09,410 +بتختاره أنت طلعني جوا ما فيش مشكلة + +229 +00:18:16,260 --> 00:18:20,800 +لأن المشكلة جوا المرة دي جوا كان يشتغل الجوال لأنه + +230 +00:18:20,800 --> 00:18:26,200 +كانت من جوا فاضية صح هنا ما فيش احنا طيب هي نرجع وهي + +231 +00:18:26,200 --> 00:18:31,130 +النقطة شكل كروي ينطبق عليه قانون جاوس اختار سطح + +232 +00:18:31,130 --> 00:18:34,370 +جاوس سطح جاوس يجب أن يكون كروي والنقطة تكون عليه + +233 +00:18:34,370 --> 00:18:38,730 +هل سطح جاوس تبقى الفرق الأول ينطبق من فعل استخدامه + +234 +00:18:38,730 --> 00:18:45,550 +لأ لأنه كان برا إذا هي سطح جاوس هي R هي سطح + +235 +00:18:45,550 --> 00:18:50,270 +جاوس هذا سطح جاوس اللي اخترناه الأزرق الغامق + +236 +00:18:50,270 --> 00:18:56,200 +الغامق the dark blue تمام هجيت مشكلتي وين؟ مشكلتي في + +237 +00:18:56,200 --> 00:19:03,820 +الـ Q in هل الـ Q in كل Q؟ لأ الـ light blue هذا + +238 +00:19:03,820 --> 00:19:10,760 +بدياهلأ بيذنّيش الـ Q in is the charge inside the + +239 +00:19:10,760 --> 00:19:14,440 +Gaussian surface و Gaussian surface هيه يا شباب + +240 +00:19:14,440 --> 00:19:20,100 +هيه إذا أنا بدي فقط الشحنات هذه صح ولا لأ يعني + +241 +00:19:20,100 --> 00:19:24,400 +واحدة واحدة بدي الجزء ولا الكل جزء من كل وما زال + +242 +00:19:24,400 --> 00:19:27,720 +بدي جزء من كل و الجزء أنا بعرفهاش لأ أنا جاي رجول + +243 +00:19:27,720 --> 00:19:32,200 +نص ولا ربع ولا تلت لأ عشوائي لما بدي أخد جزء من كل + +244 +00:19:32,200 --> 00:19:36,600 +شباب بدي أذهب خاصة عني للـ Charge Densities الـ + +245 +00:19:36,600 --> 00:19:41,020 +Sigma و الـ Lambda و الـ Rho هنا الـ Rho لأنه حجم + +246 +00:19:41,020 --> 00:19:47,480 +طيب الآن شباب لو أنا متوقع حد الباب كله مشحون + +247 +00:19:47,480 --> 00:19:53,980 +و الباب هذا توقعوا أنه متوازن مستطيل كله مشحون بقول + +248 +00:19:53,980 --> 00:19:59,620 +رو مش بتساوي Q على حجم الباب صح ولا لأ طب لو بدكم + +249 +00:19:59,620 --> 00:20:06,160 +بس حجم برف واحدة بدكم Q على حجم كل الباب ولا عضالة + +250 +00:20:06,160 --> 00:20:13,360 +فواحدة بس عضالة فواحدة صح ولا لأ الآن أنا بدي Q in + +251 +00:20:13,360 --> 00:20:18,920 +the dark blue صح ولا لأ بقدر أقول Q بتساوي رو في + +252 +00:20:18,920 --> 00:20:25,550 +حجم الـ dark blue حجم الـ dark blue مظبوط .. اه .. حد + +253 +00:20:25,550 --> 00:20:28,670 +Gaussian surface احنا عارفينه بيقول المشكلة عندك + +254 +00:20:28,670 --> 00:20:32,570 +الآن في Qn حل المشكلة في Qn لنحل السؤال to find + +255 +00:20:32,570 --> 00:20:36,570 +that charge Qn الـ Qn يعني within the Gaussian + +256 +00:20:36,570 --> 00:20:41,410 +surface والـ Gaussian surface اعتبر حجمه Vin تمام؟ + +257 +00:20:42,230 --> 00:20:46,390 +نحن نستخدم الحقيقة أن الـ QN بتساوي رو في VIN ضالفة + +258 +00:20:46,390 --> 00:20:50,070 +واحدة من الباب جزء من الكرة الجزء من الكرة حجم + +259 +00:20:50,070 --> 00:20:53,110 +ما بعرفهش يقول عنه VIN يعني الحجم اللي داخل سطح + +260 +00:20:53,110 --> 00:20:58,510 +جاوس مش أي سطح مغلق بيحوز جواته حجم هي الحجم اللي + +261 +00:20:58,510 --> 00:21:01,670 +بدي إياه يعني الشحنات اللي جواته هي الشحنات اللي + +262 +00:21:01,670 --> 00:21:05,130 +متكون موجودة في VIN ولا لأ؟ اه هي الشحنات اللي + +263 +00:21:05,130 --> 00:21:13,790 +بدك إياها حلو تبقى VIN تقدر تجيبها 4 over 3 by R² + +264 +00:21:13,790 --> 00:21:17,890 +صح ولا لأ؟ حجم الكرة بتعرفه؟ طب روحها دي من وين + +265 +00:21:17,890 --> 00:21:22,090 +جبتها؟ رو ما علينا مادتنا إياها بدي أستخدمها من ضمن + +266 +00:21:22,090 --> 00:21:26,150 +المعطيات؟ لأ طب جيبها بدلالة معطياتك أنت قلت رو + +267 +00:21:26,150 --> 00:21:29,770 +بتساوي شحنة على حجم الشحنة الكل إياها ما عطيك إياها + +268 +00:21:29,770 --> 00:21:35,590 +طب الحجم الكل معطى؟ مقدرين نجيبه؟ إذا ممكن تجيب رو + +269 +00:21:35,590 --> 00:21:39,350 +بدلالة capital Q الحجم الكل ولا لأ؟ إذا معناته + +270 +00:21:39,350 --> 00:21:44,320 +بقول عن هذه الشحنات اللي بديها صح شباب الشحنات هذه + +271 +00:21:44,320 --> 00:21:47,400 +بتساوي رو في الحجم الكل يواصل بحجم الشغلاء اللي + +272 +00:21:47,400 --> 00:21:52,080 +قاعدها بتومض بس هي وهذه اللي أنا سميتها V-N + +273 +00:21:52,080 --> 00:21:56,600 +عطيتها رمز V-N واقع شباب بس مجانا أنا إذا ما راح + +274 +00:21:56,600 --> 00:22:01,990 +الأمور شغل mathematics بسيط كان في المدارس ناخده + +275 +00:22:01,990 --> 00:22:06,010 +بقول where rho is the volume times density knowing + +276 +00:22:06,010 --> 00:22:11,830 +that V in equal 4 over 3 by R cubic صح ولا لأ؟ and + +277 +00:22:11,830 --> 00:22:18,290 +rho اللي أنت جبته ومعلومة صحيحة equal capital Q + +278 +00:22:18,290 --> 00:22:22,270 +capital Q the charge of the total sphere over the + +279 +00:22:22,270 --> 00:22:28,540 +total volume على over four by إيه تكعيب؟ خلاص هذه + +280 +00:22:28,540 --> 00:22:32,520 +أنا عرفت وهذه أنا عرفت هيها لو جيت على الواضح بدل + +281 +00:22:32,520 --> 00:22:38,860 +رو بقول Q على أربعة over three by R square sorry + +282 +00:22:38,860 --> 00:22:44,220 +A cubic و بدل V in إيش بدي أحط؟ أربعة over three by + +283 +00:22:44,220 --> 00:22:50,220 +R cubic هجيت هذا وهذا بيطير صح ولا لأ؟ إذا الـ Q in + +284 +00:22:50,220 --> 00:22:56,110 +اللي بتدور عليها لجيتها بتساوي capital QR تكعيب على + +285 +00:22:56,110 --> 00:23:00,470 +A تكعيب طبعاً الـ QN بجلالة كل المعطيات بجلالة + +286 +00:23:00,470 --> 00:23:05,390 +capital Q معطى A the radius of the sphere معطى و R + +287 +00:23:05,390 --> 00:23:09,270 +بعد النقطة ما هو ما إيه ضد الـ DA the close + +288 +00:23:09,270 --> 00:23:13,070 +integration E ضد الـ DA equal QN على epsilon not الـ + +289 +00:23:13,070 --> 00:23:16,430 +QN انعرفت ولا ما انعرفتش انعرفت E بطلعها برا ولا + +290 +00:23:16,430 --> 00:23:22,170 +بطلعهاش برا بطلعها اشتكامل الـ DA و مجدش A بساوي أربعة + +291 +00:23:22,170 --> 00:23:31,890 +عضاي R² صح ولا لأ فطلعش جوا خلاص اشتغل فيه R كيبك + +292 +00:23:31,890 --> 00:23:38,190 +و هنا فيه R² إيش بالضبط الـ bus R طلعش جوا خلاص + +293 +00:23:38,190 --> 00:23:42,050 +just + +294 +00:23:42,050 --> 00:23:47,330 +to comment on the answer at the center of the + +295 +00:23:47,330 --> 00:23:52,780 +sphere what is the value of small r zero يعني إيه + +296 +00:23:52,780 --> 00:23:57,860 +مجدش عند ال center؟ zero طب هذا منطقي بيقولي إيه هو + +297 +00:23:57,860 --> 00:24:02,500 +من السفر بس في المركز السفر ارجعكم للكرة الأرضية + +298 +00:24:02,500 --> 00:24:10,280 +مجدش الجاذبية عند الكرة الأرضية في مركزها؟ ليش؟ لأ + +299 +00:24:10,280 --> 00:24:18,720 +هو المسافة السفر لأ طب R احكي + +300 +00:24:20,900 --> 00:24:25,220 +هي هيك .. هي هيك .. أنا شرحتها في زيارة الشباب .. + +301 +00:24:25,220 --> 00:24:30,820 +أعيدها .. هي الكرة المصممة من جميع الجهات .. بدي + +302 +00:24:30,820 --> 00:24:34,600 +شدتي المجال عند النقطة هذه .. حاجات بتقدر تقولوا + +303 +00:24:34,600 --> 00:24:39,780 +إن هذه النقطة محاطة بأعداد متساوية من الشحنات من + +304 +00:24:39,780 --> 00:24:45,360 +جميع الجهات .. بش في symmetry؟ طيب .. هذه النقطة + +305 +00:24:45,360 --> 00:24:47,300 +الصارة + +306 +00:24:49,030 --> 00:24:52,990 +أدلة سنتر هنا في أي مكان فيه شحنات لو كان هنا فيه + +307 +00:24:52,990 --> 00:24:55,830 +شحنة في جبالها ولا لا أو جدول شدة المجال تبع + +308 +00:24:55,830 --> 00:25:03,470 +الشحنة هذه طب تبع حد أجمعهم Zero طب لو هنا فيه + +309 +00:25:03,470 --> 00:25:12,530 +شحنة و هنا فيه شحنة زيها هنا و هنا لغوا + +310 +00:25:12,530 --> 00:25:16,930 +بعض وبالتالي ما بتقى أن يكون شدة المجال Zero لكن لو + +311 +00:25:16,930 --> 00:25:21,020 +كانت المطبع مش أدلة سنتر هنا بقول هذا بيلاقي جزء + +312 +00:25:21,020 --> 00:25:25,320 +هذا بيلاقي جزء هذا أصله له قيمة صح ولا لأ؟ إذا + +313 +00:25:25,320 --> 00:25:27,420 +اندعونات وين؟ بيكون مقعد الـ center لأنه فيه + +314 +00:25:27,420 --> 00:25:31,680 +symmetry وبالتالي the net electric field is zero + +315 +00:25:31,680 --> 00:25:36,140 +at the center لأن أنا بتعامل مع vectors إذا الشغفة + +316 +00:25:36,140 --> 00:25:38,740 +منطقية إنه at the center equal to zero ما فيش أي + +317 +00:25:38,740 --> 00:25:46,630 +إشكالية كمان مثال الآن في المثالين السابقين مع + +318 +00:25:46,630 --> 00:25:50,770 +المثال الأول وهو الـ point charge في الثلاث حالات + +319 +00:25:50,770 --> 00:25:54,930 +الـ charge + +320 +00:25:54,930 --> 00:26:00,330 +distribution is spherical و الـ spheres ينطبق عليها + +321 +00:26:00,330 --> 00:26:05,030 +قانون جاوس بدي أشوف نوع آخر بيقول you find the + +322 +00:26:05,030 --> 00:26:08,990 +electric field E at a distance r from an infinite + +323 +00:26:08,990 --> 00:26:19,000 +line خط أسطوانة رفيعة طيب الأسطوانة يعني تبقى عليها + +324 +00:26:19,000 --> 00:26:23,720 +قانون جاوس بشرط تكون إيش infinite line خلاص حللي + +325 +00:26:23,720 --> 00:26:30,540 +المشكلة infinite line of charge of uniform density + +326 +00:26:30,540 --> 00:26:34,080 +لامتناهي وقتك لامتناهي جاهزة جالك لامتناهي ما بديش يديكي Q + +327 +00:26:34,080 --> 00:26:37,460 +طبعاً ما بديش يديكي Q عشان الطول مش معروف يا شباب + +328 +00:26:38,130 --> 00:26:41,190 +مشهور طويلة جداً فجال أكلام ده و خلاص ما مديش ال .. + +329 +00:26:41,190 --> 00:26:45,510 +يجيب لي جدّيش الـ cue لإنه هذا طويل جداً هي الخط هذا + +330 +00:26:45,510 --> 00:26:48,710 +كل المشحون شحنات موجة شايفينه محطوط الزاعت عليه + +331 +00:26:48,710 --> 00:26:54,250 +طيب لو أجينا و بدي شدة المجال عند نقطة هذه اللي + +332 +00:26:54,250 --> 00:27:02,420 +تبعد مسافة R القانون جاوس ينطبق قانون جاوس لأننا + +333 +00:27:02,420 --> 00:27:07,760 +لدينا سليندر و سليندر كافية لذلك ينطبق القانون + +334 +00:27:07,760 --> 00:27:11,920 +جاوس. الدرجة الثانية هي الاختيار مصادر جاوسية + +335 +00:27:13,250 --> 00:27:19,070 +الكورات تنفع؟ تنفعش جالي لازم سطح جاوس يكون بيشبه + +336 +00:27:19,070 --> 00:27:23,810 +الجسم المشحون الجسم المشحون أسطواني طب كيف بتختار + +337 +00:27:23,810 --> 00:27:28,630 +الأسطوانة؟ تختارها واقفة ولا نايمة ولا مائلة؟ جالي + +338 +00:27:28,630 --> 00:27:31,130 +هو حكى أسطوانة بيقول لازم يكون لها نفس الـ + +339 +00:27:31,130 --> 00:27:34,590 +symmetry بيقول هذا الـ line هذا الـ line جزء من + +340 +00:27:34,590 --> 00:27:38,750 +أسطوانة أصلاً طب تخيل هو جزء من أسطوانة الأسطوانة + +341 +00:27:38,750 --> 00:27:42,410 +العائلة تبعته اللي هي الأسطوانة كيف بيكون شكلها؟ + +342 +00:27:43,250 --> 00:27:48,370 +واقفة ولا مش واقفة؟ إذا هي عيلته هي أصله تمام؟ + +343 +00:27:48,370 --> 00:27:53,390 +إذا Gaussian surface as a Gaussian surface we + +344 +00:27:53,390 --> 00:27:58,230 +select a circular cylinder أسطوانة قائمة أفريقيا's + +345 +00:27:58,230 --> 00:28:02,690 +are with high H and coaxial with the line charge + +346 +00:28:02,690 --> 00:28:08,570 +و متحدة الـ axis المحور معها عشان تظبط معاها هي سطح + +347 +00:28:08,570 --> 00:28:18,230 +جاوس هذا هو سطح جاوس تمام الآن اخترت صح أنا لازم + +348 +00:28:18,230 --> 00:28:24,430 +إيه تكون ثابتة و لو واحد يختار كرة ممنوع ينجح وإلا + +349 +00:28:24,430 --> 00:28:28,690 +بيكون كل واحد يختار سطح اللي بدو إياه صح ولا لا بداية + +350 +00:28:28,690 --> 00:28:33,470 +شباب فتقوا من هذا تخيلوا أنتم واحد يختار كرة + +351 +00:28:33,470 --> 00:28:37,890 +كانت حلوة و أنا اتفويت عليها بدي أختار كرة سطح مغلق + +352 +00:28:37,890 --> 00:28:43,190 +سطح مغلق هل بقدر أتأكد إنه E is constants on the + +353 +00:28:43,190 --> 00:28:47,250 +surface تخيلوا أنتم الـ line شباب هيك و الكرة + +354 +00:28:47,250 --> 00:28:51,950 +محوطة من جميع الجهات هل هذا الجلم هيكون يخترق + +355 +00:28:51,950 --> 00:28:54,870 +الكرة ولا مش هيخترقها طبعاً لما يكون هو .. + +356 +00:28:54,870 --> 00:28:58,690 +فهيخترقها يعني في نقطة قريبة عليه كتير ولا لا؟ وفي + +357 +00:28:58,690 --> 00:29:01,770 +نقطة هنا بعيدة عليه ولا مش بعيدة؟ هل E هنا و هنا + +358 +00:29:01,770 --> 00:29:05,270 +الواحد؟ إذا E is not constant on the surface so + +359 +00:29:05,270 --> 00:29:12,050 +the sphere cannot be a good Gaussian surface طيب + +360 +00:29:12,050 --> 00:29:14,130 +.. واحد بيقول أنت بتضحك عليه أنا طب ما هو هنا + +361 +00:29:14,130 --> 00:29:19,970 +اخترق القاعدة و لا ما اخترقهاش؟ مش اخترقها؟ معناته + +362 +00:29:19,970 --> 00:29:21,070 +هنا + +363 +00:29:22,980 --> 00:29:26,320 +و هنا نقطتين ما بيبعدوش على نفس المسافة طب كيف + +364 +00:29:26,320 --> 00:29:31,580 +نحلها؟ خلنا نشوف هناك قلت لي لأ؟ طب هنا ليش؟ أنت + +365 +00:29:31,580 --> 00:29:33,680 +بتصحح لي و أنا بصحي ليش؟ احكي + +366 +00:29:39,740 --> 00:29:43,760 +ما فيش عصر التكامل كله هيروح موضوع كلامك بتحل + +367 +00:29:43,760 --> 00:29:48,440 +المشكلة يعني بيبقى عن أخر الكورة كم سطح لها واحد + +368 +00:29:48,440 --> 00:29:52,340 +لما كنت أتعامل و أحط التكامل و أبدأ أشتغل لما جبت + +369 +00:29:52,340 --> 00:29:57,340 +الفيكس للمكعب، ذاكرينه؟ التكامل كم تكامل صار؟ ستة + +370 +00:29:57,340 --> 00:30:00,700 +هنا الأسطوانة كم سطح لها ثلاثة إذا التكامل كم + +371 +00:30:00,700 --> 00:30:04,380 + +401 +00:32:18,880 --> 00:32:22,220 +التكامل التكامل التكامل التكامل التكامل التكامل + +402 +00:32:22,220 --> 00:32:22,320 +التكامل التكامل التكامل التكامل التكامل التكامل + +403 +00:32:22,320 --> 00:32:23,760 +التكامل + +404 +00:32:26,260 --> 00:32:30,160 +تمام؟ واحدة واحدة ليه ييجي واحد واحد؟ طيب أنتم + +405 +00:32:30,160 --> 00:32:34,240 +ملاحظين أن هنا إشارة اللي أغلق راحت لأن كل واحدة + +406 +00:32:34,240 --> 00:32:39,480 +مغلقة؟ لا إما كله مع بعض مغلق لكن الـ base لحالها + +407 +00:32:39,480 --> 00:32:44,180 +disk مش مغلقة الـ base التحتانية disk اللي ملوم هو + +408 +00:32:44,180 --> 00:32:49,600 +مفتوح من فوق ومن تحت ولا لا؟ إذا هنا we don't have + +409 +00:32:49,600 --> 00:32:54,340 +the closed circle تمام؟ واحدة واحدة نطلع على الـ base + +410 +00:32:54,340 --> 00:33:00,080 +الأسفلانية تطلعوا عليها شباب هذا هي كيف الـ A تبعتها؟ + +411 +00:33:00,080 --> 00:33:05,360 +مش لازم تكون عمودية ولا أعلى برا إذا لا فوق هي A + +412 +00:33:05,360 --> 00:33:11,240 +جديش الزاوية بين A و E تسعين و جديش كصينة تسعين + +413 +00:33:11,240 --> 00:33:17,660 +إذا أول تكامل روح إذا المشكلة اللي أنت كانت عندك + +414 +00:33:17,660 --> 00:33:23,390 +بالقرة هنا موجودة بس ريحتني منها product واضح يا + +415 +00:33:23,390 --> 00:33:27,950 +شباب؟ حتى لو E مش ثابتة، بلزم كاش أطلع E برا، وأنا + +416 +00:33:27,950 --> 00:33:31,210 +ليش بدي أطلع E برا؟ مش عشان أن أنا أكامل؟ طب لما + +417 +00:33:31,210 --> 00:33:36,150 +أتكامل هو سقوب طوح، يعطيه العافية، E برق، جولة + +418 +00:33:36,150 --> 00:33:41,890 +جوا، it doesn't mean anything، راحت، تفهم يا شباب؟ + +419 +00:33:41,890 --> 00:33:46,250 +إذا ما فيش عندي ملكي لا، constant ولا مش constant، + +420 +00:33:46,250 --> 00:33:51,570 +تفرقش معاه طبعا شباب طب عادي كيف الـ A تبعتها لأسفل + +421 +00:33:51,570 --> 00:33:55,010 +لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل + +422 +00:33:55,010 --> 00:33:55,130 +لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل + +423 +00:33:55,130 --> 00:33:55,290 +لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل + +424 +00:33:55,290 --> 00:33:59,530 +لأسفل لأسفل لأسفل + +425 +00:33:59,530 --> 00:34:04,410 +لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل + +426 +00:34:04,410 --> 00:34:10,230 +لأسفل لأسفل لأسفل لأسفل + +427 +00:34:10,230 --> 00:34:17,710 +لأسفل وهاي اللي بدي أنا في حد أنه ماشي بيقول أنا + +428 +00:34:17,710 --> 00:34:22,210 +جربت أو ابعدت عن الـ line لا لإنه أنا صرت محاطق + +429 +00:34:22,210 --> 00:34:26,350 +بتحوير زي جوائر هي ومش جائرة هو عبارة عن رنجات في + +430 +00:34:26,350 --> 00:34:29,630 +البعـد وبالتالي وأنا مروح أنا أنا نفسي طب كيف بدي + +431 +00:34:29,630 --> 00:34:36,720 +أجيب الـ a هذا كيف الـ A تبعتها؟ مش هذا curved وأي سطح + +432 +00:34:36,720 --> 00:34:41,220 +جيه curved الـ A بتكون مع أنصاف الأقطار مش هيك + +433 +00:34:41,220 --> 00:34:44,600 +اتفقنا أنصاف الأقطار هي هي هي هي هي هي هي + +434 +00:34:44,600 --> 00:34:44,840 +هي هي هي هي هي هي هي هي هي هي هي هي + +435 +00:34:44,840 --> 00:34:45,180 +هي هي هي هي هي هي هي هي هي هي هي هي + +436 +00:34:45,180 --> 00:34:45,340 +هي هي هي هي هي هي هي هي هي هي هي هي + +437 +00:34:45,340 --> 00:34:45,560 +هي هي هي هي هي هي هي هي هي هي هي هي + +438 +00:34:45,560 --> 00:34:45,720 +هي هي هي هي هي هي هي هي + +439 +00:34:52,900 --> 00:35:00,140 +هنا هذا E is outside the integration because it is + +440 +00:35:00,140 --> 00:35:04,440 +constant the dot product is eliminated because E + +441 +00:35:04,440 --> 00:35:09,860 +and DA are parallel وتكامل الـ DA أيه؟ الـ A تبقى + +442 +00:35:09,860 --> 00:35:15,620 +عميل هذا؟ تبقى الـ curved surface المساحة الجانبية + +443 +00:35:15,620 --> 00:35:22,590 +للقصوانة جديش محيط القاعدة في الارتفاع + +444 +00:35:22,590 --> 00:35:27,250 +بقول from the symmetry of the system الكلام اللي + +445 +00:35:27,250 --> 00:35:35,420 +حكيته كاتبه بس E is parallel to both bases موازي الـ + +446 +00:35:35,420 --> 00:35:39,040 +الـ bases يعني عمودي على الـ area تبعتهم furthermore + +447 +00:35:39,040 --> 00:35:44,660 +it has a constant magnitude and directed radially + +448 +00:35:44,660 --> 00:35:48,580 +outward at every point on the curved surface of + +449 +00:35:48,580 --> 00:35:55,020 +the cylinder واضح موازي الـ الـ bases بيكون ثابت على + +450 +00:35:55,020 --> 00:35:59,240 +الـ curved و radially يعني موازي الـ DA تبعت الـ + +451 +00:35:59,240 --> 00:36:05,130 +curve basis تمام جيت اتش هذه مش أنا اللي اختارتها + +452 +00:36:05,130 --> 00:36:09,110 +لو أنت جيت اختارت واحدة تانية نفس الـ H هتختار؟ + +453 +00:36:09,110 --> 00:36:13,030 +لا، إذا المفروض في جواب ما تبينش يا بالكم صح ولا + +454 +00:36:13,030 --> 00:36:18,290 +لا؟ وإلا عشان نقولك طالب اللي بدي أخد الـ service + +455 +00:36:18,290 --> 00:36:22,170 +كبير يقولك أنت بتطلع جوابي أكبر، بأخد علامات أكبر، + +456 +00:36:22,170 --> 00:36:26,330 +لا مش هتبين اتشمش هتبين أنت وجعت في المشكلة لكن + +457 +00:36:26,330 --> 00:36:30,710 +جوابك مش هيتغير يعني الـ H اللي كبرتها مش هتستفيد + +458 +00:36:30,710 --> 00:36:36,130 +منها بس من جوابك وجعت حالك فيه مشكلة تم أي في أي + +459 +00:36:36,130 --> 00:36:41,290 +مش اتفقنا هيك أي محيط القاعدة في الارتفاع to buy R + +460 +00:36:41,290 --> 00:36:45,070 +في H بس هو Q in على epsilon اضطرر عليها مشكلة Q in + +461 +00:36:45,070 --> 00:36:53,630 +هل كلها بدياها؟ هل هذه الشحنات اللي هم بدياها؟ هدول + +462 +00:36:53,630 --> 00:36:59,370 +outside وهدول أيش بدي بس هدول صح ولا لا طب جزء من + +463 +00:36:59,370 --> 00:37:03,870 +كل ولا لا وأنا كل بدي جزء من كل ولما كل بدي جزء + +464 +00:37:03,870 --> 00:37:07,330 +من كل بدي أروح لمين لـ recharge in cities المرة دي + +465 +00:37:07,330 --> 00:37:12,990 +نروح له المرة دي نروح لمين لا لا حتى خلصنا منها + +466 +00:37:13,490 --> 00:37:17,350 +تمام الآن الـ total charge .. charge inside the + +467 +00:37:17,350 --> 00:37:20,950 +Gaussian surface is only the charge of the part + +468 +00:37:20,950 --> 00:37:24,810 +inside the surface أي شحنات بدك بقولي بس بدي هدول + +469 +00:37:24,810 --> 00:37:31,430 +بس هدول أنا هاي اللي لازمين ليه الباقي بديهم لا طب + +470 +00:37:31,430 --> 00:37:35,370 +هدول أيه اللي بدي أسويهم نرجع باب وضعفة جزر بدي + +471 +00:37:35,370 --> 00:37:38,450 +lambda في كل السلك ولا بس في الطول اللي جوا طب + +472 +00:37:38,450 --> 00:37:40,190 +الطول اللي جوا قداش H + +473 +00:37:42,750 --> 00:37:48,550 +متابعين شباب؟ إذا معناته Qn بتساوي Lambda في H + +474 +00:37:48,550 --> 00:37:53,290 +مش Lambda في كل السلك وLambda معطل مرة هذه ما بتبدش + +475 +00:37:53,290 --> 00:37:56,510 +يعني يغيرها لأنه من ضمن المعطيات خلي جوابك بدلالة + +476 +00:37:56,510 --> 00:38:01,710 +Lambda Now we are كل جهز وهذه جهزة هنا بدي أحط + +477 +00:38:01,710 --> 00:38:08,050 +شباب Lambda بـ H أيه صار في H؟ إهرقوا إذا انبطلت + +478 +00:38:08,050 --> 00:38:12,530 +تبين H وبالتالي أيه جوابي وجوابك حتى لو كان Gauss + +479 +00:38:12,530 --> 00:38:16,990 +surface زغرطه أكثر مني هيطلع نفسي جواب صح أو لا تم + +480 +00:38:16,990 --> 00:38:23,070 +هي اتش إذا E بيساوي Lambda على 2 Pi R over Epsilon + +481 +00:38:23,070 --> 00:38:27,670 +Note هاي الجواب طبعا ليش كاتب هنا اللي طبعا حكيته + +482 +00:38:27,670 --> 00:38:33,460 +ما حد يتقارن ويحط صدح Gauss كبير بيقول لي not that + +483 +00:38:33,460 --> 00:38:37,620 +if the wire is not too long أو سطح جوز اللي حبته + +484 +00:38:37,620 --> 00:38:42,780 +أنت أما السلك مش طويل بحيث أن الأطراف تكون أيش if + +485 +00:38:42,780 --> 00:38:45,780 +the wire is not too long بيقولي أنت ليش مش شرط + +486 +00:38:45,780 --> 00:38:49,840 +عليها تكون infinite بيقولي it's in ده في هذه + +487 +00:38:49,840 --> 00:38:53,540 +الحالة أطرافها will be closed to any Gaussian + +488 +00:38:53,540 --> 00:38:58,760 +surface في هذه الحالة هنا المجال مش هيكون هيك شباب + +489 +00:38:58,760 --> 00:39:04,260 +هيكون هيك صح ولا لا هل في هذه الحالة أيه بيعمل زي + +490 +00:39:04,260 --> 00:39:09,720 +90 مع الـ base لا إذا كل أيش اتغير عندك its end + +491 +00:39:09,720 --> 00:39:12,700 +will be close to any Gaussian surface هيصير + +492 +00:39:12,700 --> 00:39:16,340 +الأطراف قريبة على الـ Gaussian surfaces على التلاتة + +493 +00:39:16,340 --> 00:39:21,960 +على الـ bases بالذات ما أن المجال الهيكليكي أعلى أو + +494 +00:39:21,960 --> 00:39:26,180 +قريب من النهاية ليس مرتزم ما أن شدة المجال عند + +495 +00:39:26,180 --> 00:39:30,260 +الأطراف أو جانب من الأطراف لا تكون منتظمة لن يكون + +496 +00:39:30,260 --> 00:39:35,040 +ممكن أن تتكامل الانتجرال لأن الانتجرال لا تطلع أيه + +497 +00:39:35,040 --> 00:39:38,840 +برا تكامل صح ولا لا وبالتالي التكامل وقفت عنده بدك + +498 +00:39:38,840 --> 00:39:42,740 +علاقة وأنت مطلوب منك تجيب أيه كيف بدي أجيب علاقة + +499 +00:39:42,740 --> 00:39:49,190 +بحط التكامل E ضف في الـ DA Base زي دي التانية زي دي + +500 +00:39:49,190 --> 00:39:53,470 +تالتة وما قف ما أقدرش أعمل أي خطوة بعد كده لأنه في + +501 +00:39:53,470 --> 00:39:57,700 +هذه الحالة لو كان قصير فقدر تطلع حد برا أو تقول إن + +502 +00:39:57,700 --> 00:40:03,420 +الزاوية تسعين برضه لا إذا شغله كله بيجعى إذا + +503 +00:40:03,420 --> 00:40:07,000 +شايفين إنه لو ما كانش طويل وين بنجعى بنجعى فيه أكثر + +504 +00:40:07,000 --> 00:40:10,860 +من شغلة عشان كده بنشترط احنا من أول إن الـ line + +505 +00:40:10,860 --> 00:40:16,200 +must be infinite for E to be uniform وإلا بيصير + +506 +00:40:16,200 --> 00:40:19,240 +جاوس بيصير فسبحله بطريقة تانية بحله بس بطريقة مش + +507 +00:40:19,240 --> 00:40:23,100 +طريقة جاوس فطريقة الـ Gauss ما أقدرش أشتغل في أي + +508 +00:40:23,100 --> 00:40:28,640 +استفسار شباب؟ طب على هذا كيف ممكن أحله بطريقة + +509 +00:40:28,640 --> 00:40:32,100 +الشطرة اللي موجودة؟ في سؤال في الكتاب بس أنا متأكد + +510 +00:40:32,100 --> 00:40:35,640 +أنه لسه ما حلتهوش أنتم كيف تجيبوه؟ هذا سهل بجيبه + +511 +00:40:35,640 --> 00:40:41,000 +أنا المرة هذه جبت line زي هيك وجبت نقطة هنا وحلته + +512 +00:40:41,000 --> 00:40:46,240 +كمثال صح؟ المرة هذه خلي النقطة هنا حله + +513 +00:40:46,240 --> 00:40:51,360 +بالمناقش بحله وقال لي هذه أيه الشباب؟ في آخر حالة + +514 +00:40:51,360 --> 00:40:55,380 +الجواب بيقولك let الـ go through ملا نهاية مش بيصير + +515 +00:40:55,380 --> 00:40:58,540 +طويل كثير لما الـ goes from النهاية لازم يطلع + +516 +00:40:58,540 --> 00:41:03,760 +الجواب هذا فبنحلط طبعا بنحلط بصفحتين يمكن طبعا أما + +517 +00:41:03,760 --> 00:41:09,820 +بجوز له لو راحت سريع بحله بسطرية بس كاتب لك تحت let + +518 +00:41:09,820 --> 00:41:15,720 +الـ go from الـ نهاية يمكن هو + +519 +00:41:15,720 --> 00:41:22,930 +أنت صعوبة السؤال من طوله لا طوله بدواجتصح ولا لا؟ + +520 +00:41:22,930 --> 00:41:27,910 +يعني لو واحد قال لك اكتب جدول الدرب من واحد لـ 100 + +521 +00:41:27,910 --> 00:41:32,450 +يبقى دي مصعبة؟ لا بس يبقى دي مطولة صح ولا لا؟ إذا + +522 +00:41:32,450 --> 00:41:35,770 +طول السؤال مش هو اللي بيحدد الصعوبة طبعا في نهاية + +523 +00:41:35,770 --> 00:41:38,830 +الوقت بيلاعب دور أن هو كيف يجيب لك إياه بديه أجري + +524 +00:41:38,830 --> 00:41:42,290 +كله بيقوله صح أو عفيا بحل السؤال صح ولا لا؟ إذا مش + +525 +00:41:42,290 --> 00:41:45,610 +طول السؤال اللي بيحدد صعوبة أو سهولة السؤال في عيسف + +526 +00:41:45,610 --> 00:41:49,280 +صار شباب هذه الـ Gauss's law حلناها على الـ + +527 +00:41:49,280 --> 00:41:52,820 +spherical shapes وحلناها على الـ cylindrical shapes + +528 +00:41:52,820 --> 00:41:55,680 +الـ cylindrical shape كان شرطه أن يكون طويل + +529 +00:41:55,680 --> 00:42:00,040 +واتفقنا أن عدم أن يكون طويل جدا مش بيعمل ليه مشاكل + +530 +00:42:00,040 --> 00:42:04,660 +أيه ما في لهم واحنا قاعدين نشتغل وجينا وين بجف بجف + +531 +00:42:04,660 --> 00:42:07,860 +التكاملات وأنا هاي المشكلة أن التكاملات ما أقدرش + +532 +00:42:07,860 --> 00:42:12,200 +أحلها فبالتالي لو كان السلك قصير أو Gauss's + +533 +00:42:12,200 --> 00:42:18,390 +surface راح على الأطراف معناته إنتاجية بمشكلة كمان + +534 +00:42:18,390 --> 00:42:21,350 +مثال دلوقتي عندي شكل واحد الـ planes صح ولا لا + +535 +00:42:21,350 --> 00:42:25,670 +بيقول you find the electric field E due to a non + +536 +00:42:25,670 --> 00:42:30,950 +-conducting infinity plane infinity plane plane و + +537 +00:42:30,950 --> 00:42:35,010 +infinity يعني كبير جدا اللي بدك أيه with uniform + +538 +00:42:35,010 --> 00:42:39,930 +surface charge الكثافة السطحية sigma والكثافة السطحية معطية + +539 +00:42:39,930 --> 00:42:46,520 +إليك إنها sigma و plane واشتغلنا على هذا الأساس و + +540 +00:42:46,520 --> 00:42:51,420 +هاي الـ plane واقف وقف جبت ورقة non conducting يعني + +541 +00:42:51,420 --> 00:42:55,840 +من الورق ورقة الورق الـ conductor لا مشحون عطيت + +542 +00:42:55,840 --> 00:42:58,620 +عليها شحنات والمكان طبعا الورقة شباب لما تكون + +543 +00:42:58,620 --> 00:43:01,220 +conductor وأنا شاحنها بيكون على الشجة دي فيه شحنات + +544 +00:43:01,220 --> 00:43:04,280 +وعلى الشجة دي فيه شحنات وإن ما حطيت إيدك في ورق فيه + +545 +00:43:04,280 --> 00:43:07,960 +شحنات تمام؟ وبالتالي عايزين كده أحط لك الـ conductor + +546 +00:43:07,960 --> 00:43:10,480 +أيه الخاصية بنحكي عنها وبعدين تمام؟ + +547 +00:43:12,830 --> 00:43:16,790 +طب والله أنا صنع خطوط المجال مش هيك حاجات أنت لما + +548 +00:43:16,790 --> 00:43:20,370 +في عندي ورقة مشهونة شباب هي مجال وهي مجال وهي + +549 +00:43:20,370 --> 00:43:23,670 +مجال ومن هنا مجالات طبعا عندي الأطراف عاملة مشكلة + +550 +00:43:23,670 --> 00:43:26,890 +أنا الأطراف مش شايفها لكن ها يعني زي ما بيقول + +551 +00:43:26,890 --> 00:43:29,470 +اللوح هذا كله مشهون بيقول هي خط جاي من هنا وخط + +552 +00:43:29,470 --> 00:43:32,930 +رايح هيك جنبه خط من هنا وخط رايح هيك وهكذا هي + +553 +00:43:32,930 --> 00:43:40,690 +خطوط المجال الأول خطوة يجب أن نختار إذا كان ممكن + +554 +00:43:40,690 --> 00:43:45,290 +تجربة الجوزيان أو لا، إنه ممكن تجربته لأن الوضع + +555 +00:43:45,290 --> 00:43:51,350 +الوضع هو plane وإنفينتي plane والثانية خطوة أخرى + +556 +00:43:51,350 --> 00:43:58,290 +يجب أن نختار جوزيان جوزيان يجب أن يكون من نفس جنس + +557 +00:43:58,840 --> 00:44:01,400 +الجسم المشحون طبعا أنتم واضعوا عينكم الجسم + +558 +00:44:01,400 --> 00:44:05,380 +المشحون الـ plane الـ plane مش surface يعني مش close + +559 +00:44:05,380 --> 00:44:09,820 +surface نرجع زي الـ cylinder هل هذا الـ plane مقطوع + +560 +00:44:09,820 --> 00:44:15,240 +من شجرة مش مقطوع من شجرة ما هو جاي حط لو حطينا عشر + +561 +00:44:16,510 --> 00:44:20,190 +planes جنب بعض بيطلع عندي متوازي مستطيلات ولا لا؟ + +562 +00:44:20,190 --> 00:44:22,850 +بيطلع عندي متوازي مستطيلات متوازي مستطيلات في سطح + +563 +00:44:22,850 --> 00:44:26,230 +مغلق أو في سطح مغلق إذا هي السطح المغلق تبعك طب + +564 +00:44:26,230 --> 00:44:29,430 +أنت ليش اختارت مستطيل لأنه أنت راسم له مستطيل أنا + +565 +00:44:29,430 --> 00:44:32,190 +مش راسم مستطيل أنت شايف أبعاده أنت بتقول لي + +566 +00:44:32,190 --> 00:44:37,370 +infinite ده يقول لك هذا disk تقول لي أمي disk في + +567 +00:44:37,370 --> 00:44:43,050 +مشكلة حط عشر disks جنب بعض ليش تطلع صورة هذا الـ + +568 +00:44:43,050 --> 00:44:45,290 +disk وبدي أحط عشر disks جانب بعضي الصوانة بتكون + +569 +00:44:45,290 --> 00:44:50,470 +قائمة ولا نايمة إذا هي الصوانة عشان تكون من نفس + +570 +00:44:50,470 --> 00:44:54,390 +الشكل شوف المرة دي + +601 +00:47:06,420 --> 00:47:11,100 +نفس مساحة قاعدة الجلام ولا لا؟ هيكيو ان، هيكيو + +602 +00:47:11,100 --> 00:47:16,220 +أن، واحدة واحدة هجيت بقول هذا جاز ال surface اللي + +603 +00:47:16,220 --> 00:47:19,580 +هو السوانة as we do in the previous example + +604 +00:47:19,580 --> 00:47:24,000 +السوانة كان سطح لها التكامل كم تكامل بيصير؟ ثلاثة + +605 +00:47:24,000 --> 00:47:29,550 +تكاملات بس كرت بس هجيت القواعد علوية وصفرية ولا + +606 +00:47:29,550 --> 00:47:33,770 +يمين وشمال؟ يمين وشمال؟ واحدة واحدة واحدة واحدة + +607 +00:47:33,770 --> 00:47:36,850 +شايفينها خطوط المجال الخضراء؟ هذه خطوط المجال بدي + +608 +00:47:36,850 --> 00:47:42,930 +أجيب إيه؟ هذه هادي كيف إيه تبعتها؟ برا عليكم هذه + +609 +00:47:42,930 --> 00:47:50,430 +الصمرة شايفتوها؟ تمام طب و هذه؟ آه طبعا هنا أنا + +610 +00:47:50,430 --> 00:47:53,980 +حاضر هنا المعناته هذه من السفر ولا لا؟ الـ dot + +611 +00:47:53,980 --> 00:47:57,840 +product راحت قصّان السفر كده؟ واحد و E برا طلعت + +612 +00:47:57,840 --> 00:48:02,640 +ثابتة تمام طبعا أنتم لما تأخذوا هي الورقة اشتغلنا + +613 +00:48:02,640 --> 00:48:07,740 +شيء ما تستعجلش هي الورقة و هي ال plane أو هي الـ + +614 +00:48:07,740 --> 00:48:12,200 +base طول ما أنا ماشي بكون مش مبعد إذا E is + +615 +00:48:12,200 --> 00:48:16,700 +constant خلصنا منها طلعناها برا طب و هي دي مين + +616 +00:48:16,700 --> 00:48:19,520 +اللي قال بيبقى تغيب عاد؟ مين توجه حاجات تغيب عاد؟ + +617 +00:48:20,070 --> 00:48:23,290 +كيف دي إيه تبعتها؟ صراحة عكس كانت تجاه دي حلو بس إيش + +618 +00:48:23,290 --> 00:48:26,370 +هي واللي أخضر مع بعض ولا عكس بعض؟ مع بعض مع بعض + +619 +00:48:26,370 --> 00:48:31,110 +جديد الزاوية؟ سفر برضه زي هديك سفر؟ طيب بس مش + +620 +00:48:31,110 --> 00:48:35,850 +تجاهها ده غير عن تجاه هديك هي خط المجال هديك نفس + +621 +00:48:35,850 --> 00:48:42,990 +اللي بيخترقها ديك؟ لأ أنا بدور على الزاوية زاوية + +622 +00:48:42,990 --> 00:48:46,350 +سفر في الحالتين ولا لأ؟ طلع معك سالب عشان يلغوا + +623 +00:48:46,350 --> 00:48:47,890 +بعض؟ لأ ما طلعش + +624 +00:48:53,380 --> 00:49:00,120 +خط لك ورقة معايا أنا ورقة؟ خلّي خلّي شباب هذه + +625 +00:49:00,120 --> 00:49:06,900 +الورقة هذه الخط هذا من أين يبدأ؟ يبدأ من هنا هل + +626 +00:49:06,900 --> 00:49:10,880 +الخط اللي بقى عليكم لو فيه عندنا سطح بيجرّب عليه؟ + +627 +00:49:10,880 --> 00:49:14,440 +بيخترقه؟ بالتالي لما تجيب أنت لف ركز على هذا السطح + +628 +00:49:14,440 --> 00:49:18,220 +قلّك ده أو بالقطوط اللي هنا؟ لا الخط اللي هنا كيف + +629 +00:49:18,220 --> 00:49:25,980 +يخترقه؟ هيك والا إيه؟ هيك هل جت لجينا .. هذا الخط + +630 +00:49:25,980 --> 00:49:29,880 +هو نفسه مختلقه .. خط ثاني .. كده تجاهه .. عليّ .. + +631 +00:49:29,880 --> 00:49:34,300 +وال area عليّ .. بالتالي ما فيش معاكسة .. لأن هذا + +632 +00:49:34,300 --> 00:49:40,640 +خط وهذا خط .. الخط اللي أولاني ما اخترقش ال base + +633 +00:49:40,640 --> 00:49:45,780 +الثانية ما لهوش جاعة فيها وبالتالي بالرغم أن أنت + +634 +00:49:45,780 --> 00:49:50,140 +تتعامل مع two opposite lines لكن ال line ما لهوش + +635 +00:49:50,140 --> 00:49:52,960 +جاعة بال line الثاني وما لهوش جاعة كل ال surface + +636 +00:49:52,960 --> 00:49:58,060 +اللي ال line خاص بيه واضح؟ إذا في مشكلة أن أقول + +637 +00:49:58,060 --> 00:50:02,090 +هنا في زي 180 عشان أحط سالب في الحاجتين في زاوية + +638 +00:50:02,090 --> 00:50:06,110 +180؟ ما فيش في الحاجتين زاوية Zero ولا Zero؟ Zero + +639 +00:50:06,110 --> 00:50:10,850 +كصالة Zero قد إيش؟ One وهنا نفس العملية إذا إيه + +640 +00:50:10,850 --> 00:50:17,630 +في إيه؟ حلو طب وهذا كيف إيه تبعته؟ باتجاه أنصار في + +641 +00:50:17,630 --> 00:50:21,150 +الأقطار يعني هي طبعا تحت أو فوق بتفرّجش أو عليكم + +642 +00:50:21,150 --> 00:50:24,310 +بتفرّجش تحت ولا فوق ولا عليكم ما كانتش زاوية بينها و + +643 +00:50:24,310 --> 00:50:33,690 +بين خط الأحضان راحت هنا Zero مضبوط ولا لأ؟ عكس تمام + +644 +00:50:33,690 --> 00:50:38,530 +with q in is given by هي q in شايفينها هذه المنطقة + +645 +00:50:38,530 --> 00:50:44,890 +صح هذه المنطقة اللي دخلت جوا غطاية الجلام طب هذه + +646 +00:50:44,890 --> 00:50:48,010 +كيف أجيبها مساحة القاعدة في sigma مساحة القاعدة في + +647 +00:50:48,010 --> 00:50:51,030 +sigma أو مساحة اللي قاعدة بتومض ما هي نفس مساحة + +648 +00:50:51,030 --> 00:50:55,130 +القاعدة إذا ال q in بتساوي sigma في إيه ولا لأ + +649 +00:50:55,130 --> 00:50:58,050 +شباب إذا ال q in بتساوي sigma في a + +650 +00:51:02,410 --> 00:51:08,330 +يعني واحد عنده سؤال مش معجبّه يسأل احنا حكينا هذا + +651 +00:51:08,330 --> 00:51:15,110 +شرطة سهل بس ممتنع سهل وقصير لكن فيه شوية شغلات + +652 +00:51:15,110 --> 00:51:18,450 +بدنا نركز عليها وبدناش ندخل حالنا فيها في أي + +653 +00:51:18,450 --> 00:51:19,250 +إشكالية شباب + +654 +00:51:23,280 --> 00:51:28,580 +طيب A في a زي A في a اثنين A في a طبعا ليش A و A + +655 +00:51:28,580 --> 00:51:30,960 +لأنها دي السوانة الباس الأولى والباس الثانية + +656 +00:51:30,960 --> 00:51:35,700 +نفسها ولا لأ إذا معناته قال لي furthermore E is + +657 +00:51:35,700 --> 00:51:37,540 +directed normally outward and has a constant + +658 +00:51:37,540 --> 00:51:40,500 +magnitude at each point on the two ends of the + +659 +00:51:40,500 --> 00:51:43,600 +cylinder هذا الكلام this mean that the third + +660 +00:51:43,600 --> 00:51:46,480 +integral vanish and the first two integrals each + +661 +00:51:46,480 --> 00:51:50,840 +reduces to E a أنا بعيد من كلام الحكيته بس إذا + +662 +00:51:50,840 --> 00:51:56,080 +اثنين E في A بيساوي Sigma A على Epsilon 0 طلعت E + +663 +00:51:56,080 --> 00:52:02,160 +ولا ما خلعتش؟ طلعت طلعوا ال A راحت من الجواب لأن ال + +664 +00:52:02,160 --> 00:52:05,540 +A تبقى على سطح جارس سطح جارس أنت اللي اخترته و + +665 +00:52:05,540 --> 00:52:09,060 +سطح جارس تبعي غير عن سطح جارس تبعك غير عن سطح جارس + +666 +00:52:09,060 --> 00:52:12,680 +تبع أي واحد فيكم صح ولا لأ المفروض ما يبينش في جواب + +667 +00:52:12,680 --> 00:52:18,880 +طلعت ذاكرين ال disk شباب؟ مين يجيب لي ال disk مثل + +668 +00:52:18,880 --> 00:52:20,560 +ال disk الشابطة من الماضي؟ مين يعرف أحد معاه + +669 +00:52:20,560 --> 00:52:25,820 +الشابطة من الماضي؟ تبع ال disk فعملنا ملاحظة لو + +670 +00:52:25,820 --> 00:52:30,520 +كانت R goes to ملا نهاية أو الجسم قريب جدا لما + +671 +00:52:30,520 --> 00:52:33,460 +حكينا عن النملة والفيل جونا جدّيش إيه طلعت + +672 +00:52:37,770 --> 00:52:43,970 +إذا to summarize Gauss's law is a law to find the + +673 +00:52:43,970 --> 00:52:48,770 +electric field for limited charge distribution. We + +674 +00:52:48,770 --> 00:52:52,570 +have three types of charge distribution where + +675 +00:52:52,570 --> 00:52:56,750 +Gauss's law is applicable أو الانتجار الروحاني + +676 +00:52:56,750 --> 00:52:59,990 +الانتجار + +677 +00:52:59,990 --> 00:53:04,530 +الروحاني مع الوضع أن الانتجار يجب أن يكون كبيرًا + +678 +00:53:04,530 --> 00:53:07,730 +و انتجار + +679 +00:53:07,730 --> 00:53:14,070 +الطائر مع الوضع أن الطائر يجب أن يكون كبيرًا ذلك + +680 +00:53:14,070 --> 00:53:20,210 +يجب أن نختار موضوع غاوزيان، موضوع غاوزيان حيواني، + +681 +00:53:20,210 --> 00:53:24,050 +ويجب أن يكون هذا الموضوع غاوزيان يكون مرتبط + +682 +00:53:24,050 --> 00:53:28,130 +بالنسبة للإيقاع في تلك المجموعة السحرية. بالتالي + +683 +00:53:28,130 --> 00:53:37,160 +اتفقنا أن موضوع غاوزيان هو إما سفير أو سليندر. طبعا + +684 +00:53:37,160 --> 00:53:41,680 +كده بقى اشتغل .. الآن قبل ما أنا أنسى لو بدي أختار + +685 +00:53:41,680 --> 00:53:47,740 +شباب سطح جاوس لل plane عبارة عن متوازي مستطيلات + +686 +00:53:47,740 --> 00:53:50,800 +بدي أشتغل من هناك الكتاب كمان مرة أو الدفتر تمام + +687 +00:53:53,690 --> 00:53:57,090 +هذه سأختار مستوانة الاتبار أن أنت اتبارت هذه جسمك + +688 +00:53:57,090 --> 00:54:01,790 +صح أو لا لأن لأ هي عن زرعوطات بينا مستطيل صح أو لا + +689 +00:54:01,790 --> 00:54:05,830 +مستطيل إذا العيالة تبعك متوازن مستطيلات حلو مش هي + +690 +00:54:05,830 --> 00:54:10,480 +متوازن مستطيلات هي متوازن مستطيلات هي سطح جاوس هذا + +691 +00:54:10,480 --> 00:54:14,380 +السطح جاهز بدي أشغله زي ما عملت فيه غطاك الجلمة و + +692 +00:54:14,380 --> 00:54:19,580 +دلتي ماشي لما هذا زهر عليّ نحن نجي واحدة واحدة كم + +693 +00:54:19,580 --> 00:54:24,500 +سطح هنا فيه ستة خطوط المجال وينها عليكم وعليّ صح + +694 +00:54:24,500 --> 00:54:29,720 +نجي اللي عليكم أنتم المبينة هذه خط المجال مظبوط + +695 +00:54:29,720 --> 00:54:34,510 +واحدة واحدة هذا السطح كيف .. كيف الإتجاه تبعته؟ + +696 +00:54:34,510 --> 00:54:41,370 +لأعلى روح طب هذا الصديق؟ روح طب هذا الصديق؟ وهذا + +697 +00:54:41,370 --> 00:54:45,070 +الصديق؟ إذا كان فتح ضال؟ لو هنا كان فتح ضال؟ + +698 +00:54:45,070 --> 00:54:49,170 +اثنين؟ إيش ده إيش اختلف؟ بيقول الآن اللي دخل جوا + +699 +00:54:49,170 --> 00:54:55,450 +الشحنات حجم أو مساحة الوردة اللي جاخدة داخلها دائرة + +700 +00:54:55,450 --> 00:55:01,750 +ولا مستطيل؟ مستطيل إذا الصرف E عندك اثنين E في A + +701 +00:55:01,750 --> 00:55:06,610 +بس A هذه مش مساحة دائرة مساحة مستطيل طب Sigma في + +702 +00:55:06,610 --> 00:55:12,430 +A برضه مستطيل وقعد إيه معناه يطلع نفس الجواب؟ إذن + +703 +00:55:12,430 --> 00:55:16,990 +أنت سهّلت وما اختلفش جواب بدل ما بقيت تدور على ست + +704 +00:55:16,990 --> 00:55:21,330 +أسطح دورت على ثلاثة أسطح ولا لأ؟ إذا نفس الجواب + +705 +00:55:21,330 --> 00:55:25,270 +ما فيش أي إشكالية إذا اتفقنا جاوز ال surface + +706 +00:55:25,270 --> 00:55:31,850 +either sphere or cylinder بس متوازي مستطيلات + +707 +00:55:31,850 --> 00:55:34,330 +بلزمنيش بلزمنيش إطلاقا diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..856e996ca5822d70e4008a1099979a3d8fd85428 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0_postprocess.srt @@ -0,0 +1,3393 @@ +1 +00:00:09,700 --> 00:00:15,480 +بسم الله الرحمن الرحيم وحكينا ان الشابتر التاني + +2 +00:00:15,480 --> 00:00:22,200 +بيحكي عن قانون gauss خلينا نبدأ من هنا قانون gauss + +3 +00:00:22,200 --> 00:00:28,360 +هو عنوان الشابتر التانيقانون جاوس كمان مرة شباب + +4 +00:00:28,360 --> 00:00:33,180 +الشبطر هذا قصير فكره محدودة لكن خلّيني أقول سهل + +5 +00:00:33,180 --> 00:00:38,480 +ممتنع إذا الطالب مافهمهاش بتوفي الأسئلة فبالتالي + +6 +00:00:38,480 --> 00:00:42,420 +هو في فكرتين كيف أحسب ال flux وكيف أستفيد من قانون + +7 +00:00:42,420 --> 00:00:46,060 +جاوس عشان أحسب شدة المجال الكهربائي قبل ما أفوت + +8 +00:00:46,060 --> 00:00:50,080 +على قانون جاوس بالزمني أعرف ال electric flux اللي + +9 +00:00:50,080 --> 00:00:54,200 +بيعتمد عليه قانون جاوس فأول موضوع حكينا عنه هو ال + +10 +00:00:54,200 --> 00:00:58,230 +electricفلكس او الفيض الكهربائي التعريف بتبعه + +11 +00:00:58,230 --> 00:01:03,530 +بصورة بسيطة جدا ان ال electric flux is a measure + +12 +00:01:03,530 --> 00:01:07,030 +of the number of electric field lines penetrating + +13 +00:01:07,030 --> 00:01:10,990 +some surface in a direction perpendicular to that + +14 +00:01:10,990 --> 00:01:15,990 +surface.إذن الفيض الكهربائي هو قياس لعدد خطوط + +15 +00:01:15,990 --> 00:01:19,770 +المجال التي تخترق سطح مه.عشان يكون في عندي فيض + +16 +00:01:19,770 --> 00:01:23,660 +بدخل خطوط مجال وو يكون في اختراق لتفتح قطوط المجال + +17 +00:01:23,660 --> 00:01:25,660 +الحالي مابتكفيش يعني المجال الكهربائي موجود + +18 +00:01:25,660 --> 00:01:28,580 +مابتكفيش ان اقول ان في عندى فايد لازم يكون في + +19 +00:01:28,580 --> 00:01:34,860 +اختراق فهذا التعريف حطوه بقانون قالوا ان ال flux + +20 +00:01:34,860 --> 00:01:39,980 +لرمزه capital Phi equal E ضد ال A او E ضد ال A + +21 +00:01:39,980 --> 00:01:42,680 +بنعرف ان E في A في ال cosine الزاوية اللي بينهم + +22 +00:01:42,680 --> 00:01:47,410 +على اعتبار ان فيتا is the angle between E and Aالـ + +23 +00:01:47,410 --> 00:01:52,330 +Area اللى وجفنا عندها بنقول A is a vector quantity + +24 +00:01:52,330 --> 00:01:57,670 +من التعريف بتكون متعامدة على A وB أو متعامدة على + +25 +00:01:57,670 --> 00:02:01,490 +المستوى او متعامدة على السطح اذا دائما بتكون + +26 +00:02:01,490 --> 00:02:10,030 +متعامدة على السطحوهو دائما خارج من الأسطح المغلقة + +27 +00:02:10,030 --> 00:02:13,530 +طبعا انا اجري صار في عندي سطح مغلق وسطح مش مغلق + +28 +00:02:13,530 --> 00:02:17,070 +كيف بدي اميز بين سطح مغلق وسطح مش مغلق قالوا شغلها + +29 +00:02:17,070 --> 00:02:20,970 +سهل من التعريف مش هو سطح المغلق بيقول by closed + +30 +00:02:20,970 --> 00:02:25,340 +surface we mean that surfaceالتي تقوم بتقسيم + +31 +00:02:25,340 --> 00:02:27,860 +المكان إلى مناطق الداخل والخارج + +32 +00:02:36,240 --> 00:02:39,720 +بقولنا الورقة هذه كسطح لحالها إذا ما تكون في أماكن + +33 +00:02:39,720 --> 00:02:42,680 +يقول هنا جوا الورقة أو هنا برا الورقة لأ إذا هذه + +34 +00:02:42,680 --> 00:02:46,500 +سطح مفتوح مش مغلق لكن نتيجة تطلع كورة شباب تعرف + +35 +00:02:46,500 --> 00:02:49,720 +الكورة؟ في جوا كورة و برا كورة ولا لأ إذا سطح + +36 +00:02:49,720 --> 00:02:53,920 +الكورة سطح مغلق ولا لأ سطح مغلق الصوانة مغلقة يعني + +37 +00:02:53,920 --> 00:02:57,260 +إلا قاعدتين و تمام تمام برضه في جوا للصوانة و برا + +38 +00:02:57,260 --> 00:03:00,800 +للصوانة هذه الغرفة لو سكرنا كل بواب مقدر نقول انت + +39 +00:03:00,800 --> 00:03:04,210 +جوا غرفة و في ناس برا الغرفة ولا لأأذا الغرفة دي + +40 +00:03:04,210 --> 00:03:10,310 +تحتوي على سطح مغلق بس الغرفة أكم سطح لها؟ ستة + +41 +00:03:10,310 --> 00:03:17,070 +الكرة و واحد استوانة3 تبارك الله عليكم فدي مش + +42 +00:03:17,070 --> 00:03:20,210 +بيقول ايه بيقول لما يكون يزور من سطح مغلق بالاضافة + +43 +00:03:20,210 --> 00:03:23,210 +إلى أن يكون عمودي على السطح بيكون برا طيب احنا + +44 +00:03:23,210 --> 00:03:26,390 +اتفقنا نقول فيها كم سطح لها ستة نبدأ في السجف + +45 +00:03:26,390 --> 00:03:31,730 +السطح من السطح اتجاه المساحة تبع السجف كيف لأعلى + +46 +00:03:31,730 --> 00:03:39,030 +عمودي و برا عمودي و برا طب الأرض لأسفل الحيطة هذه + +47 +00:03:39,900 --> 00:03:43,960 +للخارج هيك، للحيطة هذه هيك، للحيطة هذه برا، للحيطة + +48 +00:03:43,960 --> 00:03:47,120 +هذه برا، هذه معناتها، إذا .. إضافة إلى أنه يكون + +49 +00:03:47,120 --> 00:03:50,960 +عمودي، إذا كان دزل من سطح مضلق، بيكون outward، وده + +50 +00:03:50,960 --> 00:03:54,860 +شباب؟ طبعا الصوانة، لو قلنا هي الصوانة، اعتبار، + +51 +00:03:54,860 --> 00:03:57,860 +مظبوط ولا لأ؟ هي قعدة العلوية، كيف بيكون اتجاه + +52 +00:03:57,860 --> 00:04:02,830 +المساحة؟ لأعلى، وهال؟ طب وهذه؟ع كل جوار موفمكة + +53 +00:04:02,830 --> 00:04:05,390 +بيكون باتجاه أنصاف الأقطار شباب لما يكون السطح + +54 +00:04:05,390 --> 00:04:09,470 +منحني العمودي على أي curve خدناها فيه Z ألف بيكون + +55 +00:04:09,470 --> 00:04:11,870 +باتجاه أنصاف الأقطار لأن نص القطر عمودي على + +56 +00:04:11,870 --> 00:04:15,470 +المماسات صح ولا لأ فنص القطر عمودي على السطح دائما + +57 +00:04:15,470 --> 00:04:20,750 +فهذا لما يكون السطح ملتوي خلاص العملية سهلة جدا + +58 +00:04:20,750 --> 00:04:26,390 +صارت طبعا حكينا من التعريف أن ال flux كمية + +59 +00:04:26,390 --> 00:04:30,550 +فيزيائية جديدة vector ولا scalarسكيلر .. طب حلو + +60 +00:04:30,550 --> 00:04:33,390 +السكيلر سهل .. التعامل مع سكيلر أسهل من التعامل مع + +61 +00:04:33,390 --> 00:04:35,350 +vectors .. على الأقل جامع حبيب الطريق يقول لي + +62 +00:04:35,350 --> 00:04:39,190 +ويحلل وما تحللش .. صح ولا لأ .. تمام .. it is a + +63 +00:04:39,190 --> 00:04:41,670 +force from the last equation that fires a scalar + +64 +00:04:41,670 --> 00:04:45,110 +quantity .. طيب طب وحدتها .. مالهاش وحدة خاصة بيها + +65 +00:04:45,110 --> 00:04:49,920 +.. مشتقة من تعريفها .. إيش تعريفها؟E لها واحدة E + +66 +00:04:49,920 --> 00:04:54,540 +ولا لا؟ الـNewton على كله والـArea متر تربية، إذن + +67 +00:04:54,540 --> 00:04:57,420 +الـNewton متر تربية على كله، إذن واحدتها معروف + +68 +00:04:57,420 --> 00:05:04,620 +ومشتقة من القانون، ماعندي أي مشكلة. طيب القانون + +69 +00:05:04,620 --> 00:05:10,480 +هذا اللي حكيناه إن الـFlux بتساوي أو القانون حطناه + +70 +00:05:10,480 --> 00:05:15,900 +بتساوي E ضد الـA، حلو، ده اللي يرجع لللوح، اللوح + +71 +00:05:15,900 --> 00:05:19,300 +مسحته بتعرفوها تجيبوها؟أه بجيب متر بجيب صورة عرضة + +72 +00:05:19,300 --> 00:05:23,920 +و خلاص تيجي المساحة جالي لو المجال جوا اللوح مثابت + +73 +00:05:23,920 --> 00:05:29,600 +يعني هنا في مجال هل في مجال طب و هنا مجال مختلف لو + +74 +00:05:29,600 --> 00:05:32,700 +هدا اي واحد هدا اي اتنين طب هنا بقول مجال مختلف + +75 +00:05:32,700 --> 00:05:40,620 +برضه مثابت هنا اي اربعة و هكذا هنا اي خمسة اذا انا + +76 +00:05:40,620 --> 00:05:45,890 +قاعد بشتغلبدا يحسب ال facts خلال اللوح وين ما فيه + +77 +00:05:45,890 --> 00:05:48,190 +في اللوح فيه مجالات لكن كل واحد مجاله مختلف عن + +78 +00:05:48,190 --> 00:05:51,570 +الكاني و we can كل هنا سافر و هنا مالفيش في مرة + +79 +00:05:51,570 --> 00:05:54,370 +فيه و مرة مافيش و هنا مقدار كبير و هنا مقدار صغير + +80 +00:05:54,370 --> 00:05:57,470 +بيقول if E is not constants over the surface in + +81 +00:05:57,470 --> 00:06:01,110 +question كيف بيك تحسبها؟ ايه عرفت اجيبها؟ كيف E + +82 +00:06:01,110 --> 00:06:06,760 +بدي اجيبها؟بنفعش تجيب المحاصرة E وتضربها في E يا + +83 +00:06:06,760 --> 00:06:11,880 +شباب لأنه إنت لما تجيب محاصرة E هل كل المساحة إلها + +84 +00:06:11,880 --> 00:06:15,120 +نفس القيمة؟ لأ، بيقولي إيش تسوي؟ بيقولي إجري ورا + +85 +00:06:15,120 --> 00:06:19,060 +المجال أسهل حاجة، بيقولي مش إنت E هنا بتعرفها؟ أه + +86 +00:06:19,060 --> 00:06:23,340 +تعرفها، هذي بس E هنا، جيلي خد مساحة أجدها، أجدها + +87 +00:06:23,340 --> 00:06:26,880 +بس، هذي مساحة صغيرة، بتعرفي تجيبها، جيبلي Flux + +88 +00:06:26,880 --> 00:06:30,500 +لهذه المساحة، جيبتلي Flux، تمام؟ لما تجيبلي Flux + +89 +00:06:30,500 --> 00:06:32,480 +لهذه المساحة، بدك E2 ولا بدك E1؟ + +90 +00:06:53,190 --> 00:06:59,090 +بتجسم جزء من المساحة يعني عنصر، إيش مساحة عنصر؟DA + +91 +00:06:59,090 --> 00:07:04,030 +مظبوط او لا مساحة العنصر دي ايه اذا بيقولك في هذه + +92 +00:07:04,030 --> 00:07:07,350 +الحالة كلها بتشتغل بيقولي هيك بتصير القانون ايه + +93 +00:07:07,350 --> 00:07:14,590 +ضُبط الـDA جسمت المساحة لعناصر جبت ال flux لعنصر و + +94 +00:07:14,590 --> 00:07:19,510 +بعدين كملت او جمعت طلع ال flux الكل تمام القانون + +95 +00:07:19,510 --> 00:07:23,930 +الأول هيه القانون الاجيد هيه طيب هذا القانون ايه + +96 +00:07:23,930 --> 00:07:27,670 +شرطه ان هذا ايش تكون ثابت طب لو هذا ثابت ايش بيصير + +97 +00:07:28,960 --> 00:07:32,580 +طلّيها برا .. برجع القانون .. برجع .. إيش تكامل + +98 +00:07:32,580 --> 00:07:35,560 +اللي دي إيه .. إيه .. إيه .. إيه .. إيه .. إذا هذا + +99 +00:07:35,560 --> 00:07:38,600 +القانون أشمل شباب .. هذا القانون أشمل .. يعني هذا + +100 +00:07:38,600 --> 00:07:41,280 +أحلى .. خلاص مديني لا بقعد أفكر ولا حاجة .. إيه + +101 +00:07:41,280 --> 00:07:45,320 +ثابت .. طب أطلّيها برا تكامل .. مابديش شغلة .. not + +102 +00:07:45,320 --> 00:07:47,680 +that if E is constant .. بقول إذا كانت E is + +103 +00:07:47,680 --> 00:07:51,530 +constant .. برجعلك ..over the surface it should be + +104 +00:07:51,530 --> 00:07:54,750 +taken out of the integration بطلّح عبر التكامل and + +105 +00:07:54,750 --> 00:07:57,750 +we recover the first equation اللي هي هذه زي ما + +106 +00:07:57,750 --> 00:08:01,590 +كنت متوقع يعني هذا القانون هذا بيسدّلي عن كل تعريف + +107 +00:08:01,590 --> 00:08:04,790 +الفرق سهل هجيب مش تحكي هذا القانون للمتغير لإي + +108 +00:08:04,790 --> 00:08:07,790 +متغير بفضل طب أنا ايه بعوض اي واحد والا اتنين والا + +109 +00:08:07,790 --> 00:08:08,470 +اترين اتنين اترين اترين اترين اترين اترين اترين + +110 +00:08:08,470 --> 00:08:10,590 +اترين اترين اترين اترين اترين اترين اترين اترين + +111 +00:08:10,590 --> 00:08:12,050 +اترين اترين اترين اترين اترين اترين اترين اترين + +112 +00:08:12,050 --> 00:08:15,160 +اترين اترين اترين اترجزيئات .. سطح .. جزء واحد .. + +113 +00:08:15,160 --> 00:08:18,040 +جزء سطح .. انت ايه .. هذه عند الجزء اللي اخترته .. + +114 +00:08:18,040 --> 00:08:20,760 +ذاك لما كنا ناخد عنصر .. مش هيجينا ناخد كل عنصر .. + +115 +00:08:20,760 --> 00:08:22,460 +كل عنصر واحد .. ال brackets .. عنصر واحد .. اذا + +116 +00:08:22,460 --> 00:08:26,350 +هذه الدين عند عنصر اللي اخترتهانت عليا كيف؟ لأ + +117 +00:08:26,350 --> 00:08:29,390 +طبعا هناك انا باخد و بعدين بيبقى ليش؟ لأنك انت و + +118 +00:08:29,390 --> 00:08:33,170 +انت بتكامل ايه عاملة تتغير كل كلمة تغير عنصرك بتجي + +119 +00:08:33,170 --> 00:08:37,590 +لورا فهذه ايه تبعت عنصر دي ايه؟ تبعت عنصر دي ايه؟ + +120 +00:08:37,590 --> 00:08:40,610 +سؤالك مهم انه ايه هذه تبعت عنصر دي ايه؟ اللي انا + +121 +00:08:40,610 --> 00:08:43,230 +اخترته لان انا اختار عنصر واحد و بعدين التكامل + +122 +00:08:43,230 --> 00:08:46,710 +بيجيبلي كل شيء تمام؟ لأنه بيجيب علاقة و شغلات يعني + +123 +00:08:46,710 --> 00:08:48,170 +بالتالي ماوفه + +124 +00:08:55,660 --> 00:09:00,460 +طب اه انت + +125 +00:09:00,460 --> 00:09:02,940 +لما اتكامل ايه بتسويه؟ هو ايه هذي انت لما اتكامل + +126 +00:09:02,940 --> 00:09:05,140 +ايه بيبقى الدولة اللي اتلقتها و بيتغير معاك؟ + +127 +00:09:05,140 --> 00:09:08,360 +بيتغير .. بيتغير .. في مين جالك constant C؟ في مين + +128 +00:09:08,360 --> 00:09:10,560 +جالك constant C؟ ممكن تجولي من أفير على تكمل + +129 +00:09:10,560 --> 00:09:13,100 +الحدود .. اه .. و انا انت هجيت اللي و حلقت دلوقتي + +130 +00:09:13,100 --> 00:09:16,850 +مع الضغط ماشي على قانونيس؟ولا بتتخلص عند اللوح .. + +131 +00:09:16,850 --> 00:09:19,590 +اذا في نهاية .. في نهاية انه يتكامل ولا لا .. + +132 +00:09:19,590 --> 00:09:22,510 +بتبقى هتخلص هنا .. اذا هو بتبدأ يوم التلك انت عارف + +133 +00:09:22,510 --> 00:09:25,230 +.. انت بتبقى هتتكامل .. مافيش ده إتسي .. زي إتسي + +134 +00:09:25,230 --> 00:09:27,710 +فانت تقوم بالنوكالكولاس .. لأن التكامل ماعرفش حدود + +135 +00:09:27,710 --> 00:09:29,890 +.. أما انت عندك هنا بتجيب الشخلية دي .. انت عارف + +136 +00:09:29,890 --> 00:09:31,690 +انت بتجيب معاها .. انت بتجيب مع اللوح .. بتبدأ + +137 +00:09:31,690 --> 00:09:35,330 +نجينا .. و بتنكي هنا .. بتبقاش ماشي .. يعني كده .. + +138 +00:09:35,330 --> 00:09:39,770 +اخونا احنا صح حلنا .. بنجيب .. لما نصلها .. بنجيب + +139 +00:09:39,770 --> 00:09:45,560 +..طبعا نشرح نشرح انا لما نيجي احضري فانا بنجيب و + +140 +00:09:45,560 --> 00:09:54,080 +اكتر افرج تمام حلو طبعا + +141 +00:09:54,080 --> 00:09:58,040 +هاجات بدو يشرح اكتر على ال surface خليني انا قبل + +142 +00:09:58,040 --> 00:10:00,040 +ما اشرح هذه الرسمه اللي انا جيبتها من ال net يبدو + +143 +00:10:00,040 --> 00:10:02,140 +انها مش واضحه و لا مش واضحه و لا لأ خليني اعمل + +144 +00:10:02,140 --> 00:10:07,700 +التالي شباب مديش اجيب الرسمهو بعدين أجيب الرسمة و + +145 +00:10:07,700 --> 00:10:11,960 +بدي أجيب هذه الرسمة هذي إيش كرة صح كرة مش دويرة + +146 +00:10:11,960 --> 00:10:20,220 +كرة مسكرة من جوا و بدي أخف مجال الشباب دخل + +147 +00:10:20,220 --> 00:10:25,040 +و بعدين خرج امنيع اخترق ولا ماخترقش أكمر اخترق + +148 +00:10:25,040 --> 00:10:30,480 +السطحمرة داخل و مرة خارج صح ولا لأ طيب بدي احسب ال + +149 +00:10:30,480 --> 00:10:34,960 +flux بدي احسبه مرتين مش هو ال flux جدش فيه اختراق + +150 +00:10:34,960 --> 00:10:41,940 +بدي احسبه مرتين اول لما دخل و من اين دخل من هنا صح + +151 +00:10:41,940 --> 00:10:46,420 +فاكرولي بالمساحة كفي اتجاهها حسب القاعدة توع منها + +152 +00:10:46,420 --> 00:10:55,280 +عبودي ولا برا هي ايه و هي ايهكداش الزاوية 180 درجة + +153 +00:10:55,280 --> 00:11:00,240 +كداش كصانية 180 سالك واحد سالك واحد طب هنا كيف + +154 +00:11:00,240 --> 00:11:06,980 +المساحة فارقة اذا هال ايه و هال ايه كداش الزاوية + +155 +00:11:06,980 --> 00:11:12,220 +بينهم سفر كصانية سفر قد ايه و هناك رقص واحد جمعوهم + +156 +00:11:12,220 --> 00:11:16,480 +طلع Zero بقولي هذا المقادرة شغلة مبتقية انت البقية + +157 +00:11:16,480 --> 00:11:20,810 +تانية قاعد تحسباختراق .. اختراق داخل واختراق خارج + +158 +00:11:20,810 --> 00:11:25,270 +معناته وكأنه ماعملش حاجة في النهاية كمقصلة اذا ال + +159 +00:11:25,270 --> 00:11:28,670 +flux بيساوي سفر تمام؟ قاللي بصورة اجمالية الرسم + +160 +00:11:28,670 --> 00:11:33,970 +اللي انا جبتها جاب كرة زي بلونة تمام؟ زي بلونة مش + +161 +00:11:33,970 --> 00:11:36,330 +.. مش معتاجلة زي الكرة وقال هذه خطوط المجال + +162 +00:11:36,330 --> 00:11:39,850 +شايفينها؟ في خط مجال بيخش و بحرط بدل جوا ولا لازم + +163 +00:11:39,850 --> 00:11:44,750 +يطلع؟ لازم يطلع كل خطوط المجال دخلت وطلعت قاللي من + +164 +00:11:44,750 --> 00:11:51,200 +وين؟ اي خط خده انتو فكر فيه هو داخل هتلاقي الزاوية + +165 +00:11:51,200 --> 00:11:55,440 +اللى بتعملها الخط مع ايه لازم تكون منفرجة لازم + +166 +00:11:55,440 --> 00:11:58,920 +تكون منفرجة طلع يا شباب هذه الخط داخل هذه المساحة + +167 +00:11:58,920 --> 00:12:03,020 +لو هنا عمودي بيكون هيك في الزاوية المنفرجة عندها + +168 +00:12:03,020 --> 00:12:07,060 +بيكون هيك الزاوية المنفرجة في المكان لو هذه جسية + +169 +00:12:07,060 --> 00:12:10,420 +هتمشتر و جبت هنا هلاقي ايه هيها و ايه هيها زاوية + +170 +00:12:10,420 --> 00:12:15,080 +هذه جداش منفرجة وقصارى الزاوية المنفرجة جداش سالب + +171 +00:12:15,950 --> 00:12:20,830 +وهو طالع احنا خدنا ال zero لكن لو كان مش منتظم زي + +172 +00:12:20,830 --> 00:12:26,290 +هنا بيكون هيك وهي خط الذاوية هتكون حادة الذاوية + +173 +00:12:26,290 --> 00:12:33,130 +هتكون حادة بالنهاية هو داخل عنده flux سالب وهو + +174 +00:12:33,130 --> 00:12:40,250 +خارج عنده flux موجب جمع ال fluxات هيطلع zero جمع + +175 +00:12:40,250 --> 00:12:45,960 +ال fluxes هيطلع zero طلعش هنا بيقول ايه؟أوضع كانت + +176 +00:12:45,960 --> 00:12:50,680 +بشكل منتظر حقا خاصة بس هو حاول يعمّمها في البداية + +177 +00:12:50,680 --> 00:12:55,940 +بيقول if E طالعة الشجة التانية شباب كتور فاكر فيها + +178 +00:12:55,940 --> 00:12:59,340 +كتور و هو طالع بتكون الزاوية حادة أقل من تسعين + +179 +00:12:59,340 --> 00:13:02,880 +درجة hence the flux through this element is + +180 +00:13:02,880 --> 00:13:11,020 +positive و if E is entering و هو داخلبيكون الزاوية + +181 +00:13:11,020 --> 00:13:15,480 +more than 90 degree يعني منفرجة and so the flux + +182 +00:13:15,480 --> 00:13:19,380 +for such an element is negative بيقول المحصلة اللي + +183 +00:13:19,380 --> 00:13:23,480 +أديتكم إياها من أول بيقول from this argument من + +184 +00:13:23,480 --> 00:13:27,740 +هذا الجدال we can expect that if a field line + +185 +00:13:27,740 --> 00:13:33,560 +entering and leaving the same closed surface the + +186 +00:13:33,560 --> 00:13:36,100 +net electrical flux through the closed surface + +187 +00:13:36,100 --> 00:13:41,610 +from that line is zeroدخل وخرج فأنا أقول فلكسل + +188 +00:13:41,610 --> 00:13:47,450 +Zero دخل وخرج تمام؟ هذا ما نريده عندي خمس خطوط + +189 +00:13:47,450 --> 00:13:52,150 +دخلت و خمس خطوط خرجت كم فلكسل؟ سفر بس هذا الكلام + +190 +00:13:52,150 --> 00:13:55,430 +لأي سطح لازم يكون مغلق لو السطح مش مغلق يدخل و + +191 +00:13:55,430 --> 00:13:59,170 +يخرج؟ ماوجود مجال يدخل و يخرج رجعنا لهذه هلجأت لو + +192 +00:13:59,170 --> 00:14:04,210 +هان إيه جاقة اخترق برجعلها؟ ببقى مراجعلأن هنا + +193 +00:14:04,210 --> 00:14:07,690 +مافيش غيرها، صحيحة، لكن لما تكون مغلقة، بعض بتجيها + +194 +00:14:07,690 --> 00:14:10,530 +كمان مرة و بتخترقها، إذا هذا كلامنا مين؟ الأسطح + +195 +00:14:10,530 --> 00:14:13,950 +المغلقة فقط، تمام؟ يعني خلّيني أقول غرفة هادي، + +196 +00:14:13,950 --> 00:14:18,130 +إجاني خط من برا، بدي تطلع من هنا، بدي تطلع من هنا، + +197 +00:14:18,130 --> 00:14:22,110 +بيجي اخترق من هنا و طلع من هنا، ال flux صفر، تمام؟ + +198 +00:14:22,110 --> 00:14:24,870 +لما تكون السطح مغلق، لكن لما تكون السطح مرتوح، هذا + +199 +00:14:24,870 --> 00:14:30,950 +الكلام لا يسري عليهالان جالي اودد لفلكسة على سطح + +200 +00:14:30,950 --> 00:14:34,330 +مغلق و لاجئت ان عدد خطوط المجال الداخل بالسائر + +201 +00:14:34,330 --> 00:14:37,420 +الخارجة بقول zero بدون اي شيءعلى طول بقول zero + +202 +00:14:37,420 --> 00:14:40,080 +بدون حلول احنا نحل احنا اسئلة و نشوف ان هذا كلام + +203 +00:14:40,080 --> 00:14:44,800 +صحيح ولا لأ هذا مثال بسيط جدا بيقولوا خلينا نحسب + +204 +00:14:44,800 --> 00:14:47,580 +ال flux أبسط حاجة what if the electric flux + +205 +00:14:47,580 --> 00:14:50,780 +through a sphere that has a radius of one meter + +206 +00:14:50,780 --> 00:14:54,600 +and carries a charge of one micro column at its + +207 +00:14:54,600 --> 00:14:58,420 +center بيقولوا عندي كورة في مركزها في شحنة شباب + +208 +00:14:58,420 --> 00:15:03,170 +الشحنة الزرقى شايفينها هذه الشحنةوالكورة الخامة + +209 +00:15:03,170 --> 00:15:08,550 +كورة محيطة بالشحنة بيقول اوجد ال flux خلال سطح + +210 +00:15:08,550 --> 00:15:12,890 +الكورة القانون واضح E ضد ال DA كتاب كابل هذا هو + +211 +00:15:12,890 --> 00:15:16,810 +القانون اللي بنعرفه ال flux بالساوية E ضد ال DA + +212 +00:15:16,810 --> 00:15:19,610 +إذا E كانت مطلقة خارجها برجع هذا القانون صح ولا + +213 +00:15:19,610 --> 00:15:24,630 +لأ؟ تمامأنا بدأ أرسم خطوط مجال طب احنا اتعلمنا كيف + +214 +00:15:24,630 --> 00:15:27,350 +نرسم خطوط المجال ولا لأ؟ الشحنات الموجة كيف بيكون + +215 +00:15:27,350 --> 00:15:30,930 +طالع منها ولا لأ؟ ها خطوط المجال رسمناها اتصوروا + +216 +00:15:30,930 --> 00:15:34,910 +انتوا الكورة الحمرا في خطوط ما اخترقتها؟ في خطوط + +217 +00:15:34,910 --> 00:15:42,870 +اخترقتها ولا لأ؟ اه في خطأ خرج وعود دخل كلهم مالهم + +218 +00:15:42,870 --> 00:15:48,540 +خرجوا إذا في fluxمافيش تداخل بيصور خارج .. إذا فى + +219 +00:15:48,540 --> 00:15:52,400 +فلكس .. نجى نحسبه .. إذا بدنا نحسبه مافيش هي قانون + +220 +00:15:52,400 --> 00:15:55,900 +.. إيش عشان نحسب القانون .. إيش بدي .. بدي إيه .. + +221 +00:15:55,900 --> 00:15:59,520 +طب إيه مساحة القرى في حد بيعرفهاش .. مش 4 by R + +222 +00:15:59,520 --> 00:16:02,500 +تربية .. مساحة القرى سهلة .. وإذا بدكم إياها .. + +223 +00:16:02,500 --> 00:16:05,280 +نديكم إياها .. مش قضيتنا .. أما نعرف إن القرى اللي + +224 +00:16:05,280 --> 00:16:07,600 +همسها العالم .. ماعرفش .. إلا قانون الصينية .. شغل + +225 +00:16:07,600 --> 00:16:10,380 +تانية .. لكن إلا قانون عارفينه .. بقى أحسب إيه .. + +226 +00:16:10,380 --> 00:16:15,030 +طب إيه من وين جا هو ..من شحنة وشحنة point of + +227 +00:16:15,030 --> 00:16:19,930 +charge وإلى قانون كله ولا مانهاش إلى قانون كله إذا + +228 +00:16:19,930 --> 00:16:25,510 +بقدر أجيبه إذا بقول solution the electric field at + +229 +00:16:25,510 --> 00:16:28,890 +any point on the surface of the sphere is هذا هو + +230 +00:16:28,890 --> 00:16:35,310 +عارفين القانون هذا طيب شوفناها قبل كده حلو اطلعوا + +231 +00:16:35,310 --> 00:16:35,710 +شباب + +232 +00:16:42,590 --> 00:16:48,320 +بتتغير Eهل ايه ثابت على السطح و لا مالثابت؟ ثابت + +233 +00:16:48,320 --> 00:16:52,180 +لأن نفسي رؤوس القطر لأن الوضع هو رؤوس القطر طول ما + +234 +00:16:52,180 --> 00:16:55,440 +انا على السطح بدرب ولا ابعد عن الكلب؟ لا بدرب ولا + +235 +00:16:55,440 --> 00:17:00,080 +ابعد اذا انا شدت المجال ثابت على السطح يعني هذا + +236 +00:17:00,080 --> 00:17:04,900 +القانون بينفع او بطلق هذه برضه ترجع صح او لا كيو + +237 +00:17:04,900 --> 00:17:07,900 +على R تربية احسب ولا نكيو من الدنيا هو نسقط من + +238 +00:17:07,900 --> 00:17:12,120 +الدنيا ولا لا مش مشكلة حسبه مش قضية الحساب بقدر + +239 +00:17:12,120 --> 00:17:18,790 +اطلعهتمام now ل flux اخدت هذا عشان انه ثابت احنا + +240 +00:17:18,790 --> 00:17:23,150 +اتفقنا صح ولا لأ ايه dot ال ايه طيب الخطوط اللي + +241 +00:17:23,150 --> 00:17:26,590 +انا رسمتها عند كل خط كل واحد يحسب لي ايه كيف + +242 +00:17:26,590 --> 00:17:31,860 +اتجاهها عند اي خط خدواجدّاش الزاوية بتعمل بين E و + +243 +00:17:31,860 --> 00:17:37,480 +A؟ Zero كصاني Zero One إذا E Dot A بيساوي E في A + +244 +00:17:37,480 --> 00:17:41,560 +في كصاني Theta The field points linearly outward + +245 +00:17:41,560 --> 00:17:46,100 +المجال مع أنصاف الأقطار أصلا و المساحة لازم تكون + +246 +00:17:46,100 --> 00:17:49,280 +مع أنصاف الأقطار إذا كصاني Theta بتساوي واحد يعني + +247 +00:17:49,280 --> 00:17:55,100 +Theta بتساوي Zero حل السؤال إذا E في A بتساويهذا + +248 +00:17:55,100 --> 00:18:00,180 +في 4πr تربيع في cosine السفر صح ولا لأ بطلّع إيه + +249 +00:18:00,180 --> 00:18:03,700 +جواب طبعا بطلّع إيه جواب لو جيت أنا مابديش أرقام + +250 +00:18:03,700 --> 00:18:06,500 +مابديش عندي أرقام مابدي أحلي بدون أرقام بقول سهلة + +251 +00:18:06,500 --> 00:18:12,840 +من هنا بتساوي كداش طلعنا إيه KQ على R تربيع و كداش + +252 +00:18:12,840 --> 00:18:20,720 +إيه شباب 4πR تربيع مش هيك صح؟ واحد بالظبط هذه الله + +253 +00:18:20,720 --> 00:18:27,460 +سهل عليها صح؟طيب و هذه 1 على 4 عضايا epsilon نوت + +254 +00:18:27,460 --> 00:18:36,600 +إذا إذا إيش بتطلع Q على epsilon نوت طب على Q على + +255 +00:18:36,600 --> 00:18:39,220 +epsilon نوت بتطلع رقم هذا نفسه epsilon نوت تذكرين + +256 +00:18:39,220 --> 00:18:44,620 +ديركم إياها 88.5% أه تحطايركم إذا بقتل أحسبها طلعت + +257 +00:18:44,620 --> 00:18:48,240 +Q على epsilon نوت تطلعوا عليها لو الكورة دي كبلت + +258 +00:18:48,240 --> 00:18:55,070 +شبان ال flux بتغيرلو الكورة الحمرا كبرت تغير ال + +259 +00:18:55,070 --> 00:18:58,090 +flux؟ + +260 +00:18:58,090 --> 00:19:03,530 +طب انت لماذا ما تطلع الجواب في آخر اشتغالة معايا؟ + +261 +00:19:03,530 --> 00:19:07,510 +ايش جواب فيه؟ الـQ على الـ epsilon نوت؟ باعتماد + +262 +00:19:07,510 --> 00:19:11,950 +عدس الكورة؟ باعتماد .. طيب انتوا تصوروها كبرت هجيت + +263 +00:19:11,950 --> 00:19:15,330 +أكم خط اخترق هنا؟ أكم هدول؟ تلاتة و تلاتة ستة + +264 +00:19:15,330 --> 00:19:17,410 +تمانية، تمام؟ خليهم هى + +265 +00:19:20,540 --> 00:19:26,900 +زادوا خطوطنا نفسه إذا مافيش دعوة طب زغوا نفس + +266 +00:19:26,900 --> 00:19:31,320 +الخطوط التمانية إذا صاروا facts باعتمديش على السطح + +267 +00:19:31,320 --> 00:19:35,000 +باعتمديش على السطح صح ولا لا طبعا احنا جاعدين + +268 +00:19:35,000 --> 00:19:37,140 +بنجرب لشغلة معينة واحدة واحدة + +269 +00:19:40,510 --> 00:19:43,850 +اذا طلعنا ده في النهاية اذكروا لي هد قيوة علي ابسل + +270 +00:19:43,850 --> 00:19:46,070 +ان هو اتطلع الجواب هد الرقم هو قيوة علي ابسل ان هو + +271 +00:19:46,070 --> 00:19:49,210 +اتطلع الجواب تمام؟ بس اذكروه ايش معناته؟ هد ايش + +272 +00:19:49,210 --> 00:19:55,630 +بيجربلي؟ ليش؟ بيقوللي لو مافيشش جوة شحنة جديش ال + +273 +00:19:55,630 --> 00:20:01,410 +flux؟ zero صح ولا لأ؟ لو مافيشش جوة شحنة معناته + +274 +00:20:01,410 --> 00:20:05,130 +المجال منه جاي من برا صح؟ و جاي من برا معناته اللي + +275 +00:20:05,130 --> 00:20:10,980 +داخل لازم يخرجاللي داخل لازم يخرج وإذا الداخل خرج + +276 +00:20:10,980 --> 00:20:15,640 +مثلًا وحكينا بيكون Zero إذا صار بمعنى ما أخرج لو + +277 +00:20:15,640 --> 00:20:19,960 +أحد سأله وفيه إمكانية إن المجال يدخل وما يخرجش + +278 +00:20:19,960 --> 00:20:26,340 +بيقوله أه وقتيش لما يكون فيه شحنة سالبة صح؟ لأن + +279 +00:20:26,340 --> 00:20:29,980 +المجال وين بيخلص شباب؟ عند الشحنات السالبة لو جاي + +280 +00:20:29,980 --> 00:20:33,180 +من برة وفيه شحنة سالبة بتبلع و بتقوله اقعد صح؟ + +281 +00:20:33,180 --> 00:20:37,350 +بيبقاله جواوالمجال وقتهش بيخرج بيدخلش ويكون الشحن + +282 +00:20:37,350 --> 00:20:41,270 +مجبة جوا زي هذه الحالة شوف انتوا خرج كله مادخلش + +283 +00:20:41,270 --> 00:20:45,870 +اذا هو من وين انولد؟ انولد من جوا انولد من جوا + +284 +00:20:45,870 --> 00:20:48,510 +لأنه في شحنات جوا اذا صار ال flux بيعتمد على + +285 +00:20:48,510 --> 00:20:51,910 +الشحنات اللي جوا ال flux بيعتمد على الشحنات جوا في + +286 +00:20:51,910 --> 00:20:57,450 +شحنات او مافيش شحنات حلو كما المثال بيقولي a cube + +287 +00:20:57,450 --> 00:21:03,010 +of HL ال cube كان صفة حلو شبابا والاصل تبعتهش بفرق + +288 +00:21:03,010 --> 00:21:08,170 +عالم توزن المصفاتيلات؟ان هو مربعه حلو ان هو اربع + +289 +00:21:08,170 --> 00:21:13,030 +مربع ستة مربعات اوجهه بيقول الطول حرف ال يعني + +290 +00:21:13,030 --> 00:21:17,750 +مساحة كل وجه جديش ال تربيه حلو بيقول is oriented + +291 +00:21:17,750 --> 00:21:21,070 +in a uniform electric field as shown بيقول محطوط + +292 +00:21:21,070 --> 00:21:24,930 +في مجال كهبائي uniform يعني مجال ثابت تمام ماقدر + +293 +00:21:24,930 --> 00:21:31,210 +أطلعه برا تكاملFind the net electric flux from the + +294 +00:21:31,210 --> 00:21:34,630 +surface of the cube بدّوا ال flux الكل على ال + +295 +00:21:34,630 --> 00:21:38,610 +surface كل كيوب على كل كيوب الكيوب كم وجه رسمناها؟ + +296 +00:21:38,610 --> 00:21:44,810 +ستة ستة بدّ ال flux على ست أوتو اجمعهم بعدين + +297 +00:21:44,810 --> 00:21:49,310 +متفقين نرسم ال flux الكيوب هاي الكيوب رسمناها هاي + +298 +00:21:49,310 --> 00:21:52,790 +وجهي الأصفر وهذا الوجه اللي منزج في اللوح وهذا + +299 +00:21:52,790 --> 00:21:56,280 +الوجه الأحمر اللي واجب فيك وهذا الوجه الأصفرأو + +300 +00:21:56,280 --> 00:22:00,020 +الأصفر غامج وهذا كمان وجه عليكم ماجدش ألونه لو + +301 +00:22:00,020 --> 00:22:03,480 +أنكم بيخبيه للباقيين تمام؟ وهذا الوجه الفجاني + +302 +00:22:03,480 --> 00:22:07,680 +الأخضر هاي الست أرجع بقول فيها هذا هي خطوط المجال + +303 +00:22:07,680 --> 00:22:10,000 +uniform electric field كيف المرسوم ال electric + +304 +00:22:10,000 --> 00:22:13,640 +field شباب ال uniform خطوط ما لها متوازد هذه + +305 +00:22:13,640 --> 00:22:17,700 +المرسومة أندي خطوط متوازد هيك شكله طبعا واضح من + +306 +00:22:17,700 --> 00:22:23,110 +هنا في خط دخل ومخرجشجانحة تتوقع الجواب يكون Zero + +307 +00:22:23,110 --> 00:22:27,150 +فسحب نثبته بالتفصيل أنه Zero أما هو Zero لأن + +308 +00:22:27,150 --> 00:22:29,550 +القاعدة بتقول عدد خطوط المجال اللي داخلة بيساوي + +309 +00:22:29,550 --> 00:22:32,390 +عدد خطوط المجال الخارجة صح ولا لأ؟ إذا ال flux دي + +310 +00:22:32,390 --> 00:22:36,030 +بيساوي صفر ليش؟ لأن ال cube سطح مغلق ولا مغلق؟ سطح + +311 +00:22:36,030 --> 00:22:39,350 +مغلق والقاعدة بتقول لأي سطح مغلق إذا عدد خطوط + +312 +00:22:39,350 --> 00:22:42,050 +المجال اللي داخلة بيساوي عدد خطوط المجال الخارجة + +313 +00:22:42,050 --> 00:22:48,010 +إذا ال flux بتساوي Zero ليه نحسب؟ بيقول ليthe net + +314 +00:22:48,010 --> 00:22:52,850 +flux through the cube is the sum هو مجموع the flux + +315 +00:22:52,850 --> 00:22:56,570 +through the six faces of the cube وينهم ال six + +316 +00:22:56,570 --> 00:23:00,190 +faces بيقوللي أربع هرقمك إياهم أربع هيكون اللي هم + +317 +00:23:00,190 --> 00:23:04,070 +أرقام named يعني اللي هم مسميات the four faces + +318 +00:23:04,070 --> 00:23:07,750 +named in the figure عدي حد يهم أسماء and the other + +319 +00:23:07,750 --> 00:23:11,410 +two unnumbered faces في اتنين مش هرقمهم اللي هو + +320 +00:23:11,410 --> 00:23:14,800 +اللي عليكم و اللي ملزج على اللوحةاللي عليكم و اللي + +321 +00:23:14,800 --> 00:23:17,420 +ملزج علّوه لأن اللي عليكم و اللي ملزج علّوه عادي + +322 +00:23:17,420 --> 00:23:19,960 +لما أجيب ال area بقى صعب أرسمها بده يكون واحد + +323 +00:23:19,960 --> 00:23:22,780 +عليكم و واحد علّوه من الشجرة التانية هدول بيصيروا + +324 +00:23:22,780 --> 00:23:27,020 +اللي متخيلينهم احنا تمام؟ تمام اللي هو ال fourth + +325 +00:23:27,020 --> 00:23:29,740 +and the back faces ال fourth الأمامي و ال back + +326 +00:23:29,740 --> 00:23:33,500 +الخلفي شايفين الخيار الست أوجه الشباب؟ ييجي واحد + +327 +00:23:33,500 --> 00:23:36,540 +واحد طبعا في هذه الحلقة بقول هي التجارة هي اللي + +328 +00:23:36,540 --> 00:23:41,140 +عنديقانوني طبعا التكامل في الآخر بيوح لإنه E is + +329 +00:23:41,140 --> 00:23:44,300 +uniform لكن هاي قانوني في الآخر بيقولي هاي التكامل + +330 +00:23:44,300 --> 00:23:48,720 +في الآخر أكم فضح عندك إذا جسمه نفسي التكاملات + +331 +00:23:48,720 --> 00:23:53,540 +بيصير عندك هاي التكاملالـ Flux بسوء الأول للفئة + +332 +00:23:53,540 --> 00:23:58,140 +الأول E Dot DA الفئة الأول الأحمر الشباب الأحمر + +333 +00:23:58,140 --> 00:24:03,140 +التاني الأصفر الغامق التالت الفجامي الرابع + +334 +00:24:03,140 --> 00:24:07,940 +التحتاني الخامس اللي عليكم والسادس اللي على اللوح + +335 +00:24:07,940 --> 00:24:11,940 +تماما وبده واحدة واحدة احنا وياكم نحسبها عشان احسب + +336 +00:24:11,940 --> 00:24:15,940 +E أطاقيا ولا ماأتاكشيا E أطاقيا ال direction تبعها + +337 +00:24:15,940 --> 00:24:21,100 +موجود ولا لا Eالجد عاجيجي بتديرش لمن؟ لل A's أكم + +338 +00:24:21,100 --> 00:24:27,120 +ايه عندك؟ ستة بدنا نطلع علينا واحد واحد أول واحد + +339 +00:24:27,120 --> 00:24:29,680 +اللي هو هذا الأحمر مين يقولك ايه في اتجاه ال A + +340 +00:24:29,680 --> 00:24:34,940 +ليتبعته؟ يعني هيك الصح ولا .. الزاوية سفير، bravo + +341 +00:24:34,940 --> 00:24:42,720 +عليكم واضحة؟ طيب، طب و هذا؟اتجاهها هيك و لا ده؟ + +342 +00:24:42,720 --> 00:24:49,340 +180 خلّيها طبعا لأ قصان الـ01 قصان الـ180 ثالث + +343 +00:24:49,340 --> 00:24:54,080 +واحد طب نطلع على هذا برا عليكم تسعين و كده قصان + +344 +00:24:54,080 --> 00:25:01,320 +التسعين إذا التالت إيش بتصير فيه تكامل؟ روح إيش + +345 +00:25:01,320 --> 00:25:08,660 +اللي روحوا؟ قصان قصان التسعين طب الرابعكيف ايه؟ لأ + +346 +00:25:08,660 --> 00:25:13,720 +أسفل، كدهش الزاوية؟ تسيين، لأن هذا روح، صحيح أو + +347 +00:25:13,720 --> 00:25:17,580 +لا؟ نجي للخامس اللي على اللوح، شايفينه؟ كيف + +348 +00:25:17,580 --> 00:25:25,320 +اتجاهه؟ لدوة، يعني هيك، كدهش الزاوية، برضه روح، + +349 +00:25:25,320 --> 00:25:32,120 +طيب، و هذا؟ عليكم يعني هيك، برضه تسيين، إذا برضه + +350 +00:25:32,120 --> 00:25:39,040 +هدول روحوا، أكمت كام مرضاه؟2 هو عدنان يطول عصابيه + +351 +00:25:39,040 --> 00:25:44,770 +نتيجة Zeroتمام؟ العملية بتير سهلة بيقولني بعد ما + +352 +00:25:44,770 --> 00:25:47,990 +انا بحكي الكلمتين اللي بتاوي حاكيناها بيقول the + +353 +00:25:47,990 --> 00:25:51,430 +flux through the unnumbered phases اللي هم ال + +354 +00:25:51,430 --> 00:25:54,190 +fourth والباك تمام؟ اللي هو الخمس .. اللي .. اللي + +355 +00:25:54,190 --> 00:25:58,470 +خمينية and three and four is zero ليش؟ because E + +356 +00:25:58,470 --> 00:26:01,410 +and DA are perpendicular لإن هم متعامدات الزائد و + +357 +00:26:01,410 --> 00:26:04,250 +تسعين درجة مظبوط ولا .. اذا بيقولني بل عندك + +358 +00:26:04,250 --> 00:26:08,830 +هاتينين هدول و بيقولني هنا not the angle between E + +359 +00:26:08,830 --> 00:26:16,100 +and DA is zerowhile the angle between E and DE2 + +360 +00:26:16,100 --> 00:26:22,980 +180 درجة إذا برجع بقول imply that E dot EDA كسن + +361 +00:26:22,980 --> 00:26:29,100 +صفر زي EDA2 كسن 180 E dot EA minus E في A وكم + +362 +00:26:29,100 --> 00:26:32,920 +جواب؟ Zero إذا طلع الجواب Zero تأكيد القعدة اللي + +363 +00:26:32,920 --> 00:26:36,780 +حاكنها إذا عدد خطوط المجال الداخل بالساوية عدد + +364 +00:26:36,780 --> 00:26:41,660 +خطوط المجال الخارجة إذا مافيش flux إذا السطح مغلق + +365 +00:26:42,310 --> 00:26:44,910 +كمان برد يعود اجول لازم يكون السطح مغلق اذا السطح + +366 +00:26:44,910 --> 00:26:47,550 +مفتوح حد القاعدة مش موجودة اصلا لان البراد تدخل و + +367 +00:26:47,550 --> 00:26:52,290 +خارج اصلا تمام في اي استفسار شباب كيف نحسب ال flux + +368 +00:26:52,290 --> 00:27:01,480 +ال flux هو E ضد دي Aهي قانونها E.DA كما و في + +369 +00:27:01,480 --> 00:27:04,940 +اندقاء ده بقدر استخدمها for closed surfaces إذا + +370 +00:27:04,940 --> 00:27:08,320 +كان the number of electric field lines entering + +371 +00:27:08,320 --> 00:27:12,000 +equal the number of electric field lines leaving + +372 +00:27:12,000 --> 00:27:15,780 +the same surface are equal إذا ال flux بيكون zero + +373 +00:27:24,860 --> 00:27:31,120 +أكيد؟ بسيطة احنا مش بعاد كلها + +374 +00:27:31,120 --> 00:27:36,620 +سطري و مرسومة رسمة و حلوة و بخليك تعدها عد كام خط + +375 +00:27:36,620 --> 00:27:43,780 +خارج و كام خط داخل يلا عد شو هم التمانية؟ اه طيب + +376 +00:27:43,780 --> 00:27:48,040 +هي كله لبسها ميه فانا ماله كلهم التمانية فرجال + +377 +00:27:48,040 --> 00:27:52,920 +تانيه كده؟ في واحد منهم دخل من مين دخل؟وقتش يخترق + +378 +00:27:52,920 --> 00:27:56,140 +ودخل .. ولم يبحثش فيه اصلا .. اه لأنه فيه ساحرة + +379 +00:27:56,140 --> 00:28:00,520 +جوا .. لأنه انخلق من جوا .. مصدر جوا .. مصدره جوا + +380 +00:28:00,520 --> 00:28:03,340 +.. انخلق من جوا .. ميجاين و مارا داخل و عاد خرج .. + +381 +00:28:03,340 --> 00:28:07,760 +هو طلع من جوا .. وبالتالي فيه صفير يخرج ..مادخلش + +382 +00:28:07,760 --> 00:28:16,640 +اصلا اش بيكون كله داخل بيكون الصفر طبعا بيكون كل + +383 +00:28:16,640 --> 00:28:21,680 +المجال داخل مش خارج بيكون بس بيكون فت سالب بيكون + +384 +00:28:21,680 --> 00:28:26,560 +زي 180 درجة لو كان اذا هنا كلهم خارجين وكتف واحد + +385 +00:28:26,560 --> 00:28:32,920 +منهم داخل تمام نرجع لموضوعنا + +386 +00:28:37,320 --> 00:28:41,820 +Gauss is law هجي تنجي بقانون Gauss قانون Gauss او + +387 +00:28:41,820 --> 00:28:46,020 +Gauss هو بتقعد بتطلع الفيد و بسمع قال في شغلة حلوة + +388 +00:28:46,020 --> 00:28:51,960 +صوت موجودة حكى انه في شحنة جوا ال flux موجود فش + +389 +00:28:51,960 --> 00:28:55,560 +شحنة جوا فش flux مش هيك اتفقنا في الكيوب في شحنة + +390 +00:28:55,560 --> 00:28:59,070 +جوا شبابفيش في المثال الأول فيه شحنة و لا كانش فيه + +391 +00:28:59,070 --> 00:29:03,130 +key لما كان فيه شحنة لجأ فيه flux لما ما لجأش فيه + +392 +00:29:03,130 --> 00:29:06,230 +شحنة قال ليه مافيه flux قال إذا ال flux بيعتمد على + +393 +00:29:06,230 --> 00:29:10,010 +إيش على الشحنات اللي جوا صح ولا لأ هاي قانون جاوس + +394 +00:29:10,010 --> 00:29:14,930 +بيقول يال ال flux يتناسب مع نقدار الشحنات اللي جوا + +395 +00:29:14,930 --> 00:29:19,290 +ل closed surface إذا إيش بيقول قانون جاوس بيقول + +396 +00:29:19,290 --> 00:29:23,370 +the electric flux through any closed surface طبعا + +397 +00:29:23,370 --> 00:29:28,500 +برضه شرط يكون surface closedis equal to the netted + +398 +00:29:28,500 --> 00:29:33,300 +charge inside that surface divided by ε0 هاي اللي + +399 +00:29:33,300 --> 00:29:38,880 +جابه قال هو المفروض الفلكس يتناسب مع Q جوا صح ولا + +400 +00:29:38,880 --> 00:29:43,560 +لأ؟ هذه مبتقية ده ركاب يتحولها يكون فيها مساواة + +401 +00:29:43,560 --> 00:29:47,740 +بتقع ثابت، مقبض؟ ده جا ثابت إيش بيساوي؟ 1 على ε0 + +402 +00:29:49,910 --> 00:29:52,870 +تذكرين الفلكس مين الكورة جديد كده؟ كيو على أبسلناط + +403 +00:29:52,870 --> 00:29:56,350 +ولا لا؟ طبقه في المثال التابع الكورة واحد قالك + +404 +00:29:56,350 --> 00:29:59,850 +اوجد الفلكس بقوله في كيو واحدة هي كيو على أبسلناط + +405 +00:29:59,850 --> 00:30:02,650 +طلع الجواب طب ميجينا الكيو؟ بدي احله على قانون + +406 +00:30:02,650 --> 00:30:06,250 +جاوس الكيو بسطح مغلق او بسطح مغلق؟ بسطح مغلق في + +407 +00:30:06,250 --> 00:30:10,710 +جوا كيو؟ جديش الفلكس؟ صفر خلص الجواب لذا لا بدي + +408 +00:30:10,710 --> 00:30:14,870 +اجيب الست أوجه ولا حاجة ما زال السطح مغلق صار مدور + +409 +00:30:14,870 --> 00:30:19,710 +على الشحنات اللي جواإذا الشحنات جوا بحسبها مفيش + +410 +00:30:19,710 --> 00:30:23,910 +شيء خلاص مغلب عليك ليش Zero الجواب تمام لما كنت + +411 +00:30:23,910 --> 00:30:29,170 +مرة تجيب أسئلة أقول في عندك كرة كرة وديكم نسقطها + +412 +00:30:29,170 --> 00:30:36,490 +أربعة متر و أقولك هنا في شحنة Q وهذه ستة متروأقول + +413 +00:30:36,490 --> 00:30:39,090 +للشباب إذا ما كنتوا عارفين ان ال quiz كانت على + +414 +00:30:39,090 --> 00:30:42,470 +اللوحة اقول للشباب هي quiz يالا حلو ايش عمره + +415 +00:30:42,470 --> 00:30:45,810 +الشباب خمس دقايق عشر دقايق مش راضي يخلص السؤال + +416 +00:30:45,810 --> 00:30:50,570 +الشباب خلص و هم بيحسبوا و ليش بتجيبونه بقص ان ال + +417 +00:30:50,570 --> 00:30:55,170 +flux بالساعة سفر على أبسل انه ماتجدش جواب خلاص هذا + +418 +00:30:55,170 --> 00:31:00,290 +هو هاي جواب هم ايش راح يسويوا قالوا والله بدي ايه + +419 +00:31:00,290 --> 00:31:04,070 +هنا راح يحسبوا ايه طب كيف تحسب ايه هل هنا و هنا و + +420 +00:31:04,070 --> 00:31:09,220 +هنا و هنا واحدلأ في هذه الحالة يحسب ايه ويطلق ال + +421 +00:31:09,220 --> 00:31:14,560 +flux من القانون هذا تاعة مش هيعرض طيب القانون ده + +422 +00:31:14,560 --> 00:31:19,660 +ماشي أخدته عشان تطلع جوا في شحنات ولا فيش شحنات + +423 +00:31:19,660 --> 00:31:23,780 +فيش شحنات حفظ صفر خلاص اتخافش اهالي تزعلش + +424 +00:31:27,730 --> 00:31:32,290 +خلاص برا مافيش شحنات مافيش شحنات اذا مافيش flux + +425 +00:31:32,290 --> 00:31:37,390 +هذا قانون جاوس .. هذا قانون جاوس .. اذا the + +426 +00:31:37,390 --> 00:31:43,240 +electric flux through any closed surfaceis equal + +427 +00:31:43,240 --> 00:31:46,820 +to the net charge inside. إيه اسم net charge؟ لو + +428 +00:31:46,820 --> 00:31:50,280 +كان عندك شحنتين جوا، بدك إياهم، كنتين، مازال جوا، + +429 +00:31:50,280 --> 00:31:52,820 +بدك تحسبهم، لو موجة بو سالب، يتأجمحوا موجة بو + +430 +00:31:52,820 --> 00:31:55,060 +سالب، مش absolute values، يعني لو كان عندك شحنة + +431 +00:31:55,060 --> 00:31:58,000 +موجة بو شحنة سالب، يبقى سبب وبعد جوا، بده سفر، لإن + +432 +00:31:58,000 --> 00:32:02,780 +ممكن نت charge زيرو، تمام، يعني هي القانوني. Phi + +433 +00:32:02,780 --> 00:32:06,520 +بتساوي qn على epsilon نقطة، دي أنا عارفه من أول، + +434 +00:32:06,520 --> 00:32:09,900 +qn على epsilon نقطة، لما طلع جوز هيك، قال والله دي + +435 +00:32:09,900 --> 00:32:15,590 +كان قانون حلو،لو اقدرت احسب هذه ايه الشطر الاول + +436 +00:32:15,590 --> 00:32:18,150 +ايش كان مقلوب مني اجيب شديد المجال ولا لأ كان + +437 +00:32:18,150 --> 00:32:20,390 +مقلوب ان اجيب شديد المجال جالس ان عندك قانون حلو + +438 +00:32:20,390 --> 00:32:24,790 +صار جيم هذه هيك صار عندك قانون جيد ممكن من هذه + +439 +00:32:24,790 --> 00:32:28,970 +المعادلة تجيب ايه ولا مش ممكن ممكن بس الصعوبة وين + +440 +00:32:28,970 --> 00:32:33,390 +انك التكامل تعرف تجيبه صح ولا لأ لأن التكامل هذا + +441 +00:32:33,390 --> 00:32:37,230 +مفعط اللي حضرها دايما هذه لأ اذا بدك تعرف تحل هذه + +442 +00:32:37,230 --> 00:32:42,990 +المشكلة تمامطبعا هنا بقولك q in denotes the charge + +443 +00:32:42,990 --> 00:32:47,850 +inside the service كلمة in اختصال ل inside يعني + +444 +00:32:47,850 --> 00:32:51,410 +الشوحنات اللي برا بدكم إياها بدّيش إياها بس ال + +445 +00:32:51,410 --> 00:32:55,170 +inside and the circle إذا أنتوا شايفين هنا مش + +446 +00:32:55,170 --> 00:33:00,490 +مبينة هنا في دويرةع التكامل طبعا هذا تكامل بتلاقوه + +447 +00:33:00,490 --> 00:33:03,830 +لو طلعتوا انتوا على ال word مش في ال equations .. + +448 +00:33:03,830 --> 00:33:06,490 +equations .. لما تطلعوا على التكاملات فيه تكامل + +449 +00:33:06,490 --> 00:33:09,630 +هيك و فيه تكامل هيك بتلاقوه شغلها زي هيك فهذه أيها + +450 +00:33:09,630 --> 00:33:12,450 +معنى في الرياضيات هذه بيقول ان التكامل على سطح + +451 +00:33:12,450 --> 00:33:16,050 +مغلق طبعا بالنسبالي اننا مش هنكامل تمام بس تذكر + +452 +00:33:16,050 --> 00:33:19,890 +انه عشان يذكرك ان قانون جاوس على سطح ماله مغلق + +453 +00:33:19,890 --> 00:33:23,850 +فبيقول ايه the circle in the integral sign + +454 +00:33:23,850 --> 00:33:26,450 +indicate that the integration is over a closed + +455 +00:33:26,450 --> 00:33:29,610 +surfaceبس عشان تتأكد وتعرف ان هذه الشكلة اللي + +456 +00:33:29,610 --> 00:33:33,770 +موجودة مش خطأ مطبعي لأ لها معنى تمام؟ وهذا تكامل + +457 +00:33:33,770 --> 00:33:39,990 +معروف في الرياضياتبقول زي ما احنا حاطين .. بدنا + +458 +00:33:39,990 --> 00:33:42,570 +نشوف .. بقول let us verify .. هذه الـ B مش عارفة + +459 +00:33:42,570 --> 00:33:45,650 +منين جاها .. Gauss's law .. بدنا نشوف Gauss's law + +460 +00:33:45,650 --> 00:33:49,350 +كلامه صح ولا لا .. بقول ال flux بيعتمد على ال Q .. + +461 +00:33:49,350 --> 00:33:53,030 +يعني الشكل كبر ولا صغير بيبقى ليه فارق معايا .. صح + +462 +00:33:53,030 --> 00:33:55,770 +ولا لا .. بقول let us verify Gauss's law by + +463 +00:33:55,770 --> 00:33:58,030 +considering a positive point in charge Q + +464 +00:33:58,030 --> 00:34:01,890 +surrounded by two surfaces .. بدنا نشوف احنا شباب + +465 +00:34:01,890 --> 00:34:06,950 +او حوتها بسطحين ..سطح حلو بعرفه كره و سطح كره أوجه + +466 +00:34:06,950 --> 00:34:10,170 +اروح اضعجها و احط السطح و بتجيب ال facts على + +467 +00:34:10,170 --> 00:34:13,650 +السطحين by two closed surfaces S1 is spherical + +468 +00:34:13,650 --> 00:34:19,450 +where is S2 is irregular امتعجة هذا هي جاهزين S1؟ + +469 +00:34:19,450 --> 00:34:25,670 +why S2؟ S2 امتعجة جاب المعنى كل حاجة اكم خط اخترق + +470 +00:34:25,670 --> 00:34:30,810 +S1 الحلو تمانية + +471 +00:34:30,810 --> 00:34:35,540 +اكم خط اخترق التاني لعوج8 اذا انا بتوقع تنين انه + +472 +00:34:35,540 --> 00:34:40,140 +نفس ال flux ولا لأ نفس ال flux اذا صح الكلام انه + +473 +00:34:40,140 --> 00:34:45,040 +مانهاش جاوة بالشكل فبقول لي columns law tells us + +474 +00:34:45,040 --> 00:34:48,000 +that the magnitude of the electric field is + +475 +00:34:48,000 --> 00:34:52,600 +constant anywhere on the spherical surface and + +476 +00:34:52,600 --> 00:34:55,940 +given as هو مركز على أسواح الشباب أسواح القرى + +477 +00:34:55,940 --> 00:34:59,420 +واتفقنا انه ايه بتكون ثابتة عليه صح ولا لأ حلو + +478 +00:35:02,260 --> 00:35:06,740 +بما أن المجال باتجاه أصفر أختار بالنسبة للـ S1 + +479 +00:35:06,740 --> 00:35:12,560 +نستطيع أن نتعامل الهواء من S1 بمعنى Phi بسوء E Dot + +480 +00:35:12,560 --> 00:35:17,760 +دي إيه بما أن E ثابتة وDot Product Zero إذا طلعت + +481 +00:35:17,760 --> 00:35:22,110 +فادة جواب وعملناها وطلعتQ على ي نوت على أساس ان + +482 +00:35:22,110 --> 00:35:26,530 +كده بيسوء واحد على أربع by ي نوت بتوع منها تقريبا + +483 +00:35:26,530 --> 00:35:29,790 +صح ولا لأ الانش بيقوللي بيقوللي the figure shows + +484 +00:35:29,790 --> 00:35:34,550 +that the number of field lines crossing S1 is the + +485 +00:35:34,550 --> 00:35:38,170 +same as that lines crossing S2 ولا لأ الانش معناته + +486 +00:35:38,170 --> 00:35:40,090 +بيقوللي is that if the fluxes through the two + +487 +00:35:40,090 --> 00:35:44,950 +surfaces are equal and independent of their shapes + +488 +00:35:45,860 --> 00:35:50,780 +مالوش دعوة بالشكل زي مالوش دعوة بكبر أو صغر السطح، + +489 +00:35:50,780 --> 00:35:54,100 +إذا مالهاش دعوة بالسطح، هجيت لو جمت هذه الكورة + +490 +00:35:54,100 --> 00:35:57,820 +العوجة و حطيت محلها أسطوع، ماجدتش الـFlex بتطلع، + +491 +00:35:57,820 --> 00:36:01,860 +نفس القيمة لأن أعدد خطوط المجال نفسها، إذا أنا صار + +492 +00:36:01,860 --> 00:36:04,600 +الـFlex بيعتمد على الشحنات اللي جوا، مالهاش دعوة + +493 +00:36:04,600 --> 00:36:10,620 +بشكل السطح، وضع شباب تمت، + +494 +00:36:10,620 --> 00:36:15,340 +طب قولي لو كانت الكورةبرا زي هيك جديد فتتوقعوا + +495 +00:36:15,340 --> 00:36:20,100 +الفلكس يكون على سطح الأصفر سفر لإن في شحنات جوا طب + +496 +00:36:20,100 --> 00:36:24,560 +نيجي نوصل خطوط مجال هى وصمة خطوط مجال طبعا واحد + +497 +00:36:24,560 --> 00:36:27,040 +يقول قبل هو الخطوط في المجال هنا طبعا في خط مجال + +498 +00:36:27,040 --> 00:36:31,970 +هيك في خط مجال هيك صح؟أصفر؟ مابيش دعاة فيهم، بيجي + +499 +00:36:31,970 --> 00:36:35,890 +اللي بقتقوا الأصفر، في واحد منهم دخل وحرز وظل جوا، + +500 +00:36:35,890 --> 00:36:40,330 +لازم يطلع، إذا لو كانت الشحنة برا، الخط اللي داخل + +501 +00:36:40,330 --> 00:36:43,170 +لازم يخرج، عشان كده ال electric flux لازم يكون + +502 +00:36:43,170 --> 00:36:46,550 +جداش؟ Zero، وهذا منطقي، إذا لما يكون مافيش جوا + +503 +00:36:46,550 --> 00:36:50,910 +شحنات، اتفقنا جداش ال flux؟ Zero، برضه، لأن Q in + +504 +00:36:50,910 --> 00:36:54,070 +Zero، لأن عضل السطح مغلق، وبالتالي قانون جاوس + +505 +00:36:54,070 --> 00:36:59,470 +ينطبق، طيب، زي ما احنا اتفقنا قانون جاوس صار عامل + +506 +00:36:59,470 --> 00:36:59,810 +هيك، + +507 +00:37:06,110 --> 00:37:10,850 +هي قانون جاوس هجد اما هو بيقولي احسب ال flux او + +508 +00:37:10,850 --> 00:37:14,190 +بيقولي احسب المجال الكهربائي اذا بدي احسب ال flux + +509 +00:37:14,190 --> 00:37:17,390 +باتوا اما اجيب هذا المكان او هذا المكان صح ولا لأ + +510 +00:37:17,390 --> 00:37:20,530 +اذا بدي المجال الكهربائي هذا بلزمنيش انا بلزمني + +511 +00:37:20,530 --> 00:37:24,030 +هذا و هذا لانه بدي ايه بيقولي ايش فجد قانون جاوس + +512 +00:37:24,030 --> 00:37:29,250 +عشان احسب ال fluxعلميا وفيزيائيا الفلكس مالوش قيمة + +513 +00:37:29,250 --> 00:37:34,070 +كتير ذات قيمة اللي له قيمة شدة المجال الكهربائي + +514 +00:37:34,070 --> 00:37:37,330 +إذا بيقولي the practical utility of gauss's law + +515 +00:37:37,330 --> 00:37:41,530 +وين أنا بستفيد من gauss's law؟ إيش هيديته العملية؟ + +516 +00:37:41,750 --> 00:37:46,370 +Lies largely in providing a smart way هو إنه + +517 +00:37:46,370 --> 00:37:51,170 +بيديني smart way طريقة كتير سلسة و ذكية to + +518 +00:37:51,170 --> 00:37:54,890 +evaluate the electric field for a charge + +519 +00:37:54,890 --> 00:37:58,370 +distribution. لذن هو بيخليني أحسب شدة المجال وهي + +520 +00:37:58,370 --> 00:38:01,970 +فادة قانون جاوز الشباب إنه بيخليني أحسب شدة المجال + +521 +00:38:01,970 --> 00:38:04,490 +بديش أنا أجيب ال flux انا ال flux بجيبه عشان بس + +522 +00:38:04,490 --> 00:38:08,070 +أشوف الطالب فاهم الموضوع ولا لا بس في الشغل + +523 +00:38:08,070 --> 00:38:12,670 +العمليةفاجت قانون gauss انه بيعطيني شدة المجال + +524 +00:38:12,670 --> 00:38:17,570 +الكهربائي طيب كيف بدي أحسبها for this way to be as + +525 +00:38:17,570 --> 00:38:20,650 +easy as possible كيف بدي أحسبها بقولك عشان تكون + +526 +00:38:20,650 --> 00:38:23,310 +عملية سهلة لان وين الصعوبة بقول التكامل هذا ده + +527 +00:38:23,310 --> 00:38:27,030 +ببارك اشهر من التكامل لان التكامل هذا صعب سألني + +528 +00:38:27,030 --> 00:38:30,150 +عماد كيف بدي أجيب علاقة من اي و دي اي صح ولا لا + +529 +00:38:30,150 --> 00:38:34,050 +عشان أكامل فالعملية مش سهلة بدي علاقات وشغلات + +530 +00:38:34,050 --> 00:38:39,330 +كتيرةبقول العملية سهلة for this way to be as easy + +531 +00:38:39,330 --> 00:38:42,330 +as possible we must be able to choose a + +532 +00:38:42,330 --> 00:38:45,810 +hypothetical a closed surface سموه Gaussian + +533 +00:38:45,810 --> 00:38:51,630 +surface Gauss ايش بقول بقول على أي سطح مغلق لأي + +534 +00:38:51,630 --> 00:38:55,070 +سطح مغلق اي سطح مغلق الفكس اللي سوى qn على ε نوت + +535 +00:38:55,070 --> 00:38:58,990 +مش هي قانونه مثلا اي سطح مغلق طب هو انا يضرني احد + +536 +00:38:58,990 --> 00:39:02,350 +على سطح معينلأ، قالت، طب إذا أنا أختار أنت سطح + +537 +00:39:02,350 --> 00:39:07,890 +حلو، يمكنك تعمل التكامل بسهولة، ما زال جالك أي سطح + +538 +00:39:07,890 --> 00:39:12,410 +مغلق، إدّاك أنت الحرية في اختيار السطح، إذا أنا كم + +539 +00:39:12,410 --> 00:39:18,190 +بدي أنا أوظف هذه الحرية، أن يخلي شغلي سهل، صحيح + +540 +00:39:18,190 --> 00:39:21,790 +ولا لأ؟ تمام، هذا بيقولك إذا بقيت تختار أنت سطح + +541 +00:39:21,790 --> 00:39:24,870 +مغلق، أنت بقيت تختاره، والسطح المغلق بيكون وهمي + +542 +00:39:24,870 --> 00:39:28,770 +شباب، سموه Gaussian Surface، السطح Gauss، عشان + +543 +00:39:28,770 --> 00:39:33,050 +قانون Gauss،متسمى hypothetical closed surface صفح + +544 +00:39:33,050 --> 00:39:37,930 +وهمي يسمى Gaussian Surface Such that the electric + +545 +00:39:37,930 --> 00:39:41,330 +field over its surface is constant إذا بيتختاروا + +546 +00:39:41,330 --> 00:39:44,310 +بحيث إن المجال الكهربا يكون ثابت عليه ليش؟ بقولك + +547 +00:39:44,310 --> 00:39:49,240 +عشان تطلع حدا برا مش أنا صعبتي في التكامل؟لما هذا + +548 +00:39:49,240 --> 00:39:52,620 +تقدر تطلع برا، بدك علاقة بين E وA، تفضل أنك بدك + +549 +00:39:52,620 --> 00:39:55,640 +علاقة بين E وA، بس بشرط أن يكون .. وكده يبقى تطلع + +550 +00:39:55,640 --> 00:39:59,980 +برا، لما يكون ثابت، إذا اختار السطح، الـE بيكون + +551 +00:39:59,980 --> 00:40:05,280 +ثابت عليهإذا أنا هالجيت القانون بيقوللي اه سطح + +552 +00:40:05,280 --> 00:40:09,240 +مغلق الحرية هذه بدي اوظفها ان انا اختار السطح + +553 +00:40:09,240 --> 00:40:15,080 +المغلق حقق ان شرط واحد انه يكون constant عليه بوضع + +554 +00:40:15,080 --> 00:40:18,360 +شباب هاي اللي بديها اكتر من كده مابديهش إذا الهدف + +555 +00:40:18,360 --> 00:40:22,420 +ثابت بقدر أحل لإنه qn بدي يبقى بالروضة مابقوللي qn + +556 +00:40:22,420 --> 00:40:25,660 +جديش مابقوللي شوف يوش عناد فيه ولا لأ فشي بيقولك + +557 +00:40:25,660 --> 00:40:28,720 +فشي فيه بيقولك في كنتين وتلاتة وغير قامعة بتهش + +558 +00:40:28,720 --> 00:40:32,970 +شطارة صح ولا لألو اخترته ماتبتعرف مساحته سهلة و + +559 +00:40:32,970 --> 00:40:36,370 +epsilon نقطة كلها عارفينها ساعتها بجيب ايه صح ولا + +560 +00:40:36,370 --> 00:40:39,830 +لأ because العملية صارت سهلة بس يقشنوا الصعوبة + +561 +00:40:39,830 --> 00:40:44,930 +بيقولي طب هذا دايما الشغلة ممكنة بيقولي this can't + +562 +00:40:44,930 --> 00:40:49,110 +be attained وهذه الشغلة فقط ممكن تحصل عليها if the + +563 +00:40:49,110 --> 00:40:53,310 +following remarks are satisfied وهذه مابتتحصلش مع + +564 +00:40:53,310 --> 00:40:57,350 +الأسف دائما الشيء مابتتحصلش انك تختار سطح ايه يكون + +565 +00:40:57,350 --> 00:41:01,830 +ثابت عليهإيه يكون ثابت على سطح أنت تختاره أي إن + +566 +00:41:01,830 --> 00:41:06,590 +كان مش دايما بيكون ممكن إذا في عندك قيود في إنك + +567 +00:41:06,590 --> 00:41:09,570 +كيف تحل الأسئلة وهذه أريح كل ما قيتني كل ما أنت + +568 +00:41:09,570 --> 00:41:13,610 +أسئلتك اتقيدت لأنه إذا أنت شطحت كتير قانون جاوس لا + +569 +00:41:13,610 --> 00:41:18,070 +ينطبق بتريحني ماقدرش أحله فبالتالي في عندي قيود و + +570 +00:41:18,070 --> 00:41:22,370 +أكتش قانون جاوس عشان أحسب في شدة المجال ممكن أطبق + +571 +00:41:22,370 --> 00:41:28,570 +عليهبيقوللي لازم هذه الشروط تكون صحيحة أول شرط + +572 +00:41:28,570 --> 00:41:32,750 +بيقوللي التالي عشان انت تختار بيقوللي the charge + +573 +00:41:32,750 --> 00:41:36,730 +distribution must have a high degree of symmetry + +574 +00:41:36,730 --> 00:41:41,270 +لازم يكون في عندك تماثل عالي طب هذا التماثل وين + +575 +00:41:41,270 --> 00:41:45,740 +موجود؟ ليه مش موجود إلا في تلت حلقات؟بس الشكل + +576 +00:41:45,740 --> 00:41:48,160 +القرأوى فيها أحلى من كورة شباب من وين ما طلعت + +577 +00:41:48,160 --> 00:41:52,060 +عليها نفس الشكل ولا لأ إذا فيه symmetry عالي إذا + +578 +00:41:52,060 --> 00:41:56,180 +الأشكال القرأوية كلها زغرت ولا كبرت و بعدين + +579 +00:41:56,180 --> 00:41:59,100 +cylindrical with infinite length كل ال cylinders + +580 +00:41:59,100 --> 00:42:04,020 +حلو بس مشكلته واحدة أنه عند أطرافهلأن لو كنت ماشي + +581 +00:42:04,020 --> 00:42:07,660 +هيك، زي بعض، عند الأطراف مشكلة، بقولّه، سهل، وإنت + +582 +00:42:07,660 --> 00:42:12,120 +مالبينك الأطراف، قولّه، إنت الأطراف فوق، واحد يروح + +583 +00:42:12,120 --> 00:42:14,960 +على الـInfinity فوق، والتاني على الـInfinity تحت، + +584 +00:42:14,960 --> 00:42:18,720 +بطاطس وفوق، إذا بيقولّي الأشكال الصوانية بشرط + +585 +00:42:18,720 --> 00:42:22,640 +يكونوا طوال جدا، شباب، الشكل الصواني ليش عند + +586 +00:42:22,640 --> 00:42:26,640 +أطرافه مش هى؟ هى الشكل الصواني، مش الخط الصواني؟ + +587 +00:42:26,640 --> 00:42:29,920 +خلّيني أرسم خطوات مجال أنا وإياكم، من هنا في خط + +588 +00:42:29,920 --> 00:42:33,970 +مجال ولا لأ؟ومن هنا فى خط مجال صح طب عن فى هنا خط + +589 +00:42:33,970 --> 00:42:40,010 +مجال بالديشية طب ومن هنا ومن هنا صح ولا هدول خطوط + +590 +00:42:40,010 --> 00:42:44,150 +متوازية ومش متوازية يعنى ايه ماله uniform uniform + +591 +00:42:44,150 --> 00:42:47,230 +طب تعالوا لعند هنا يلا نوصل خط مجالي عن الطرف هذا + +592 +00:42:47,230 --> 00:42:53,070 +وهى خط وهى خط وهى خط وهى خط وهى خط صح؟متوازية + +593 +00:42:53,070 --> 00:42:56,550 +هدول؟ إذا هنا فيه بشاحة طب بصيطة البشاحة هذه + +594 +00:42:56,550 --> 00:43:00,570 +مديشية أنا مش شايفها هذه في المنا نهاية وهذه في + +595 +00:43:00,570 --> 00:43:02,990 +المنا نهاية إذا أنا مش شايفها إيش شايف؟ خطوط + +596 +00:43:02,990 --> 00:43:07,150 +متوازية easy and uniform تمام؟ إذا الخطوط أو + +597 +00:43:07,150 --> 00:43:13,050 +الأشكال الاسطوانية شرط هتكون طويلة جدا with + +598 +00:43:13,050 --> 00:43:19,130 +infinite links أطواع حقائق كبيرة في شغل تانية نرجع + +599 +00:43:19,130 --> 00:43:24,190 +للأشكال المسطحة وراجعورقة من ورقة برضه مافيش أحلى + +600 +00:43:24,190 --> 00:43:28,290 +منها بس بعيدة عن الحوارفة ليش الورقة هنا شباب لو + +601 +00:43:28,290 --> 00:43:32,030 +انت هنا من هنا و لا من هنا مافيش مشكلة انت هنا + +602 +00:43:32,030 --> 00:43:35,290 +تصير عند عالمك مشكلة ليش بنوصف خطوط مجالة على + +603 +00:43:35,290 --> 00:43:39,750 +اللحن شباب مشعون خط مجال اللي بيقول عليكم طب من + +604 +00:43:39,750 --> 00:43:43,410 +هنا برضه خط مجال اللي بيقول عليكم طب من هنا و هكذا + +605 +00:43:43,410 --> 00:43:46,770 +طب من هنا هيك كل خطوط متوازية طب تشوفوا أن الطرف + +606 +00:43:46,770 --> 00:43:49,890 +هذا بصير مسلجة من هنا هيك و من هنا هيك و رايحة هيك + +607 +00:43:49,890 --> 00:43:53,080 +و رايحة هيكاذا تقرأت خطوط متوازية ايش بتحلها + +608 +00:43:53,080 --> 00:43:56,340 +ويقولها ده كبير اعتبره كبير انت مش شايفه ذاكرين + +609 +00:43:56,340 --> 00:43:59,820 +يقولنا النملة وعلى رعر اللي هو الفيل خلاص الفيل + +610 +00:43:59,820 --> 00:44:04,340 +بالنسبة للنملة شايفة حدوده مش شايفة حدوده اذا + +611 +00:44:04,340 --> 00:44:08,520 +بالنسبة لها تعتبره انه لو انه مشحون الفيل خطوط + +612 +00:44:08,520 --> 00:44:11,120 +متوازية تطلع على النملة هي خطوط متوازية طالعة فوق + +613 +00:44:11,500 --> 00:44:15,700 +إذن هو Uniform بس ابعد عن الأطراف تمام؟ إذا أنا + +614 +00:44:15,700 --> 00:44:18,360 +عندي الأشكال الوحيدة اللي بينطبق عليها قانون Gauss + +615 +00:44:18,360 --> 00:44:22,220 +عشان أحسب شدة المجال هي الأشكال التلاتة الوحيدة + +616 +00:44:22,220 --> 00:44:26,420 +Carly بغض نظره عن حجمه cylindrical with infinite + +617 +00:44:26,420 --> 00:44:32,160 +length and plain سطح with infinite extents أبعاده + +618 +00:44:32,160 --> 00:44:37,070 +كبيرةinfinite أبعاده بعيدة تيل عني موضح يا شباب؟ + +619 +00:44:37,070 --> 00:44:40,630 +إذا لو قال لي أحسب شدة المجال الكهربائي باستخدام + +620 +00:44:40,630 --> 00:44:43,010 +قانون gas أول حاجة بتطلع عليها بتطلع على الشكل + +621 +00:44:43,860 --> 00:44:46,860 +المشحون إذا الشكل المشحون مش واحد من التلاتة هدول + +622 +00:44:46,860 --> 00:44:49,900 +بقول قانون جوص من أول بيلاد الطبق ماينفعش أطبقه + +623 +00:44:49,900 --> 00:44:54,000 +لإنه ممكن أختار سطح مغلق يكون his consent عليه + +624 +00:44:54,000 --> 00:44:57,260 +وقعدنا واحدة واحدة و بيشوف إن هذا كلام صحيح ولا لأ + +625 +00:44:57,260 --> 00:45:01,180 +تمام هذه أول خطوة بدي أشوف الشكل اللي جالطبق عليه + +626 +00:45:01,180 --> 00:45:04,460 +قانون جوص ولا لأ بداية لإن هو بيقول أوجد شدة + +627 +00:45:04,460 --> 00:45:09,300 +المجالهيك على الهواء ولا بيقولك فيه شكل مشحون فيه + +628 +00:45:09,300 --> 00:45:12,300 +شكل مشحون وشكل مشحون بتطلع عليه هل واحد من التلاتة + +629 +00:45:12,300 --> 00:45:16,280 +هدول ولا لأ يعني مثلا ال rod زاكرينو ال rod كان + +630 +00:45:16,280 --> 00:45:19,920 +قصير مينفعش قانون جاس عليه إذا جالك infinite rod + +631 +00:45:19,920 --> 00:45:26,240 +مابقدر أتطبق عليه فهمتوا عليها ال ring بينفع ال + +632 +00:45:26,240 --> 00:45:34,380 +ring مش قسم السطح ال ring مش كورةلا ينطبق عليها + +633 +00:45:34,380 --> 00:45:40,740 +قانون جاوس هذه رنك مش كرة ال disk مش تحت شرط واحد + +634 +00:45:40,740 --> 00:45:45,560 +ان ال disk يكون كبير ذاكرينه لما جبناها طلعناها + +635 +00:45:45,560 --> 00:45:49,180 +اذا ال disk كبير بقول اه بطبق عليه قانون جاوس لكن + +636 +00:45:49,180 --> 00:45:52,380 +ال disk صغير بقوله لا قانون جاوس لا ينطبق فاهمين + +637 +00:45:52,380 --> 00:45:53,580 +شباب تمع + +638 +00:45:57,880 --> 00:46:03,360 +لأ مش مغلق انت بدك تختار سطح مغلق لأ السطح اللي + +639 +00:46:03,360 --> 00:46:09,120 +بده يكون مغلق مش الجسم المشهور هذا جسم مشهور انت + +640 +00:46:09,120 --> 00:46:12,040 +بده تجيب في بيت المجال تختار سطح اللي برضه تجيب + +641 +00:46:12,040 --> 00:46:18,140 +السطح اللي بده يكون مغلق فانت عليا؟ واحدة واحدة لأ + +642 +00:46:18,140 --> 00:46:22,080 +لأ واحدة واحدة شوية if you sit in a circus سطح + +643 +00:46:22,080 --> 00:46:26,210 +جاهز هذا اللي بده يكون مغلقالقانون الجاوسي يجب أن + +644 +00:46:26,210 --> 00:46:26,970 +يكون مرتبطًا بنفسه بشكل نفسه بشكل نفسه بشكل نفسه + +645 +00:46:26,970 --> 00:46:29,550 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +646 +00:46:29,550 --> 00:46:30,630 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +647 +00:46:30,630 --> 00:46:30,790 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +648 +00:46:30,790 --> 00:46:31,190 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +649 +00:46:31,190 --> 00:46:33,550 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +650 +00:46:33,550 --> 00:46:44,090 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +651 +00:46:44,090 --> 00:46:47,010 +بشكل + +652 +00:46:48,180 --> 00:46:51,220 +اختياري وهمي انت ممكن تختاره .. ممكن ممكن تختاره + +653 +00:46:51,220 --> 00:46:55,820 +شرطه ان يكون E constant مظبوط او لا عشان E يكون + +654 +00:46:55,820 --> 00:47:00,100 +constant بيكون لازم يكون الو نفس الشكل زي جسم + +655 +00:47:00,100 --> 00:47:04,720 +المشحون طب هو الجسم المشحون اكم نوع؟ الجسم المشحون + +656 +00:47:04,720 --> 00:47:09,920 +اكم نوع عندك؟ تلاتة؟ اذا معناته سطح جرس بيكون عندك + +657 +00:47:09,920 --> 00:47:14,560 +تلاتة انواع اذا الجسم المشحون كراوي سطح جرس ايش + +658 +00:47:14,560 --> 00:47:21,740 +بيكون؟ كرةإذا الجسم المسحون سلندر، إيش السطح + +659 +00:47:21,740 --> 00:47:26,420 +المقلق؟ سلندر أو سلندر مغلق أو مغلقة؟ تمام طب وإذا + +660 +00:47:26,420 --> 00:47:31,960 +plain؟ إيش أسوي؟ plain يعني ورجة ولا لأ؟ قللي إيش + +661 +00:47:31,960 --> 00:47:36,480 +الورجة دي جزء من إيش يا الورجة؟ حط لك عشان الورجة + +662 +00:47:36,480 --> 00:47:41,480 +تفوق، بعد إيه أصار؟أو متوازي مستطيلات الورقة مش + +663 +00:47:41,480 --> 00:47:44,700 +مغلقة لكن متوازي مستطيلات اذا السطح يبقى متوازي + +664 +00:47:44,700 --> 00:47:48,100 +مستطيلات طب هذي انت قلتلي ورقة واش عارفك انها ورقة + +665 +00:47:48,100 --> 00:47:52,280 +انت بتقولي كبيرة صح بتعرفي انها ورقة انت شايفها + +666 +00:47:52,280 --> 00:47:56,800 +انت شايف عدودها طب ممكن تكون this كلها مش ممكنممكن + +667 +00:47:56,800 --> 00:47:58,820 +تكون ديسك .. حطولك عشان الديسكات فوق بعدي .. إيش + +668 +00:47:58,820 --> 00:48:04,000 +شرط؟ رجعت الصوانة .. إذا انت .. ال .. ال .. ال .. + +669 +00:48:04,000 --> 00:48:07,320 +سطح جاسو بيكون إما كرة أو أسطوانة أو متوازن .. + +670 +00:48:07,320 --> 00:48:09,820 +متوازن مستطيلات أو أسطوانة .. طب ببتك منه متوازن + +671 +00:48:09,820 --> 00:48:12,280 +مستطيلات .. يتغلب علىك ليش؟ إذا في عندك بس شكلين + +672 +00:48:12,280 --> 00:48:15,880 +.. لأ كرة .. لأ متوازن مستطيلات .. ليش شردت من + +673 +00:48:15,880 --> 00:48:18,260 +متوازن مستطيلات؟ بقوله متوازن مستطيلات .. ده كان + +674 +00:48:18,260 --> 00:48:23,530 +سطح حلو .. و ليه الصوانة؟ طب مين أسألي؟الثالث، إذا + +675 +00:48:23,530 --> 00:48:27,050 +فانت كمان مستطيل ولا دائرة، فشوف دعوة فيه، بما أنه + +676 +00:48:27,050 --> 00:48:33,610 +الـplane ما انتش عارفه مستطيل ولا دائرة، لأنك انت + +677 +00:48:33,610 --> 00:48:36,330 +مش حاجة تشوف حدوده، مش حاجة تشوف حدوده، فاعتبره + +678 +00:48:36,330 --> 00:48:39,650 +disk. إذا أنا عندي سطح جارسه، بدي أختاره من يوم + +679 +00:48:39,650 --> 00:48:45,110 +مطالع، بس إما كرة أو استوارة، بس.هذا الشيء بيعمل + +680 +00:48:45,110 --> 00:48:49,130 +يبسهيل علينا يعني الشغل مش هانتوه انا اول عندي تلت + +681 +00:48:49,130 --> 00:48:52,710 +اشكال بتطبق عليهم بتطلع عليهم فيه؟ فيه مفيششي + +682 +00:48:52,710 --> 00:48:57,010 +مقدرش احل الشغل التالت بيختار صدح الشت صدح لا كرة + +683 +00:48:57,010 --> 00:49:00,870 +لا سوانة اذا الشكل الكراوي تساهمنا ايش بتكون + +684 +00:49:00,870 --> 00:49:04,770 +الصدحية اللي بيجيها تستخدموها؟ اذا كان سلندر او + +685 +00:49:04,770 --> 00:49:11,050 +بلي ارجل جيب سلندر عملية سيكلة طيب هاي تاني خطوة + +686 +00:49:11,050 --> 00:49:15,980 +اعملناهابقول لي the point at which E is to be + +687 +00:49:15,980 --> 00:49:18,760 +evaluated should lie on the Gaussian surface بقول + +688 +00:49:18,760 --> 00:49:21,420 +لي أنت بدك تحسب شدية المجال مش اتفقنا من السطر + +689 +00:49:21,420 --> 00:49:25,080 +الأول لما يقولك أوجه شدية المجال مش بتقوله وين مش + +690 +00:49:25,080 --> 00:49:28,460 +بتقوله وين إذا بيقولك وين طب و أنت دقطة بيقوللي + +691 +00:49:28,460 --> 00:49:30,200 +سطح جاوس اللي بدك تختاره لازم النقطة هاي تكون + +692 +00:49:30,200 --> 00:49:32,720 +واجعة عليه لأن من الصحيح أن أنت بدك تجيب شدية + +693 +00:49:32,720 --> 00:49:35,240 +المجال هنا و تبقى تعملني سطح جاوس هيك طب ما أنت هو + +694 +00:49:35,240 --> 00:49:38,100 +رايح أنت هنا بدك أنت إيه؟ ماتكش إيه هنا أنت بدك + +695 +00:49:38,100 --> 00:49:41,290 +إيه هنا إن السطح جاوس بيكون هيكلازم تكون النقطة + +696 +00:49:41,290 --> 00:49:45,210 +وين عليه و برضه هذا كله الشغلات نصح بظهر هنطبق + +697 +00:49:45,210 --> 00:49:48,370 +عليها و واحدة واحدة هنرجعلها the point at which E + +698 +00:49:48,370 --> 00:49:50,970 +is to be evaluated should lie on the Gaussian + +699 +00:49:50,970 --> 00:49:54,450 +surface سطح Gaussian اللي بدك تختاره بتكون عشوائي + +700 +00:49:54,450 --> 00:49:58,490 +بيكون نقطة عليه طب حينه بيقولي بعد هذا الكلام إيه + +701 +00:49:58,490 --> 00:50:02,030 +يشتغل بيقولي إذا كانت E is parallel to the surface + +702 +00:50:02,030 --> 00:50:05,470 +E is parallel to the surface و ال area عمودية جديش + +703 +00:50:05,470 --> 00:50:11,270 +الزرعي بصير تسعين إيش بتطلع التكامل؟إذا E موجودة + +704 +00:50:11,270 --> 00:50:15,490 +في الجسم أو إذا E موجودة في كل جسم أو إذا E موجودة + +705 +00:50:15,490 --> 00:50:15,770 +في كل جسم أو إذا E موجودة في كل جسم أو إذا E + +706 +00:50:15,770 --> 00:50:16,710 +موجودة في كل جسم أو إذا E موجودة في كل جسم أو إذا + +707 +00:50:16,710 --> 00:50:17,310 +E موجودة في كل جسم أو إذا E موجودة في كل جسم أو + +708 +00:50:17,310 --> 00:50:17,350 +إذا E موجودة في كل جسم أو إذا E موجودة في كل جسم + +709 +00:50:17,350 --> 00:50:17,450 +أو إذا E موجودة في كل جسم أو إذا E موجودة في كل + +710 +00:50:17,450 --> 00:50:24,050 +في كل جسم أو إذا E موجودة في كل جسم أو إذا E + +711 +00:50:24,050 --> 00:50:30,080 +موجودة في كل جسم أو إذا E موجودة في كلAt every + +712 +00:50:30,080 --> 00:50:33,600 +point and since E is constant هو تنساش انه انت + +713 +00:50:33,600 --> 00:50:36,320 +اختارت السطح بحس انه E is constant عليه ولا لأ من + +714 +00:50:36,320 --> 00:50:42,220 +أول فE is constant اذا سلام دقان حلو E في E بتساوي + +715 +00:50:42,220 --> 00:50:47,260 +Qn على epsilon note صح تقدر تجيب E انجابة E هذي في + +716 +00:50:47,260 --> 00:50:53,800 +الآخر بتساويالـ Q in على E note طبعا هو دا دايما + +717 +00:50:53,800 --> 00:50:56,900 +بيقول تطبق قانون جاوس على شغل حلو و أنت بتعرفها + +718 +00:50:56,900 --> 00:51:00,040 +pointy charge ال pointy charge بتعرف تجيبها في + +719 +00:51:00,040 --> 00:51:04,660 +قانون غير قانون جاوس قانون إيش؟ جديش بيطلع الجواب + +720 +00:51:04,660 --> 00:51:09,420 +KQ على أرض ربية زيها قانون، بتشتغلها قانونية طريقة + +721 +00:51:09,420 --> 00:51:14,530 +قانون جاوسأه موجه من معيارات حالي بتشوف الشغل اللي + +722 +00:51:14,530 --> 00:51:16,990 +بعرف هطلع نفسي جواب ولا لأ وانت مين اللي هجد على + +723 +00:51:16,990 --> 00:51:20,310 +حكاية المغلق ومش المغلق تمام بيقول في هاي ال point + +724 +00:51:20,310 --> 00:51:24,610 +صح ولا لأ هجيت أول حاجة بتطلع على ال point هذه هل + +725 +00:51:24,610 --> 00:51:28,510 +هي أحد الأشكال التلاتة اللي مرت علينا ال point كرة + +726 +00:51:28,510 --> 00:51:33,920 +و لا مش كرة ليش ال point مش كرة و نص خطرة سفرما هي + +727 +00:51:33,920 --> 00:51:38,460 +كرة؟ بس كرة صغيرة صح أو لا؟ هي pointy شاش كرة إذا + +728 +00:51:38,460 --> 00:51:42,300 +هي أهم من أشكال صح فانتبق عليها قانون جاس كما + +729 +00:51:42,300 --> 00:51:47,220 +هيكيو بده شدة المجال عند النقطة هذه هاي المطلوب + +730 +00:51:47,220 --> 00:51:52,460 +تمام شباب كيف ندحل؟ طبعا هذه سؤال كتير هي سهل أول + +731 +00:51:52,460 --> 00:51:57,980 +حاجة الجسم المشهون الشوةالنقطة كراوية ولا مش + +732 +00:51:57,980 --> 00:52:02,080 +كراوية .. كراوية جالي كراوي او استواني طويل او + +733 +00:52:02,080 --> 00:52:07,060 +بلين كبير كراوي و كراوي جالي صغير او كبر تفرج طب + +734 +00:52:07,060 --> 00:52:12,320 +هذه point كرة صغيرة ينطبق عليها قانون جاوس شمرنا و + +735 +00:52:12,320 --> 00:52:15,960 +بنبدأ الجالي الخطوة التالية بدي اختار سطح جاوس + +736 +00:52:15,960 --> 00:52:21,920 +اختار سطح جاوس انا بدي اختار وهميلازم يكون كروي + +737 +00:52:21,920 --> 00:52:25,680 +لأن الشكل المشحونش هو كروي بكل سطح جاوس لازم + +738 +00:52:25,680 --> 00:52:28,560 +يكونوا نفس ال symmetry تبع الجسم المشعون تمام + +739 +00:52:28,560 --> 00:52:32,360 +بيقول solution since the charge distribution is + +740 +00:52:32,360 --> 00:52:36,800 +spherical عشان الجسم المشحون كروي we choose the + +741 +00:52:36,800 --> 00:52:41,800 +Gaussian surface as a sphere of radius a هي السطح + +742 +00:52:43,820 --> 00:52:46,580 +هيجيت مين النقطة؟ شايفين هوينها؟ +بينفع أختار سطح + +743 +00:52:46,580 --> 00:52:50,880 +أكبر من كده أو أصغر؟ لا، وإلا إذا كان أكبر أو أصغر + +744 +00:52:50,880 --> 00:52:54,120 +الشرط إنه بيتكون عليه بـbattle round شايفين أنا + +745 +00:52:54,120 --> 00:52:57,220 +ليش حاططه مجد؟ عشان أعرف إنه هذا وهمي أنا اللي + +746 +00:52:57,220 --> 00:53:01,860 +اختارته، خيالي، هذا السطح خيالي، على طول الـflux + +747 +00:53:01,860 --> 00:53:06,280 +بيقوللي إن الـflux عليه لازم يساوي qn على epsilon + +748 +00:53:06,280 --> 00:53:09,080 +نقطة إن السطح مغلق، الجسم اللي بيشحونه ليش ده أوى + +749 +00:53:09,080 --> 00:53:11,200 +فيه مغلق أو مفتوح، أنا بيقول إن السطح اللي اختارته + +750 +00:53:11,200 --> 00:53:15,480 +يكون مغلقلأن أنا بدي Reflex عليه حلو فانا السطح + +751 +00:53:15,480 --> 00:53:20,820 +اخترته هجيت فيه شباب انا اخترت هذا السطح عشان اأمن + +752 +00:53:20,820 --> 00:53:25,980 +ايش شرطي اللي ايه ايش تكون ثابتة تطلعه على السطح + +753 +00:53:25,980 --> 00:53:31,640 +ننجط ايه بيكون ثابت عليه ولا لا ليش تطلع عليها من + +754 +00:53:31,640 --> 00:53:36,680 +وين جاية ايه من وين جاية من وين جاية من الشحنة طب + +755 +00:53:36,680 --> 00:53:40,800 +وانت تطلع نقماش عنه كل النجاطفي إيه فانه عندنا + +756 +00:53:40,800 --> 00:53:45,100 +نقطة أكبر من نقطة تانية نقابل المجلة تهادي ثابتة + +757 +00:53:45,100 --> 00:53:48,940 +ولا مش ثابتة ثابتة اذا انا لما اشتغلت صح شباب + +758 +00:53:48,940 --> 00:53:56,280 +اختلط سطح جاس قراوي النقطة عليه أمنت انه ايه ثابتة + +759 +00:53:56,280 --> 00:54:00,400 +وانا هال بديها هاي شرطي انه زي هذا صح نحل السؤال + +760 +00:54:01,670 --> 00:54:04,510 +بقول الآن هذا الجوز السيطر في الشريفين اللي هو + +761 +00:54:04,510 --> 00:54:07,990 +المجرد اللي احنا عارفينه هي قانون جوز ا dot d a + +762 +00:54:07,990 --> 00:54:12,030 +بيساوي qn على epsilon نوت بقول it is clear that e + +763 +00:54:12,030 --> 00:54:16,970 +and d are parallel صح ايه و ايه نسري اتجاه ولا لأ + +764 +00:54:16,970 --> 00:54:20,730 +يعني عشان dot الوضعك تقرأ في الراحةand E is + +765 +00:54:20,730 --> 00:54:23,690 +constant over the surface و E ثابتة على ال surface + +766 +00:54:23,690 --> 00:54:27,790 +مأمنين يا شباب؟ E ثابتة طول ما أنا ماشي هيك أنا + +767 +00:54:27,790 --> 00:54:31,990 +على أبعاد متساوية من الشحنة إذا E هنا و هنا و هنا + +768 +00:54:31,990 --> 00:54:36,030 +و هنا و هنا و هنا و هنا كل واحد هجتني جينا إيه؟ و + +769 +00:54:36,030 --> 00:54:41,990 +هاي إيه؟ و إيه إيه من هنا؟ برضه هيك هنا هاي إيه؟ + +770 +00:54:41,990 --> 00:54:47,090 +وين؟ و هاي إيه؟ إذا دائما E و E ماعنهم parallelو + +771 +00:54:47,090 --> 00:54:51,930 +إيه ثابت على كل السطح تمام إذا بيصير عندي قانون + +772 +00:54:51,930 --> 00:55:00,150 +هيك صار ده صار و + +773 +00:55:00,150 --> 00:55:05,150 +Q in نيجي لأبن الروضة نقوله جديش ال Q in بقولي + +774 +00:55:05,150 --> 00:55:07,670 +تطلع جوا السطح ايه فيه شحنات بقول فيه شحنات مش هي + +775 +00:55:07,670 --> 00:55:12,210 +شحنات Q خلاص عوّد خلاص السؤال بقول Q is a total + +776 +00:55:12,210 --> 00:55:17,870 +charge included by the gas surfaceإذاً E طلعتها + +777 +00:55:17,870 --> 00:55:22,610 +برا الدُبط اللي طلعته أين راحت فوّحت دي اي بيساوي + +778 +00:55:22,610 --> 00:55:27,690 +بدل Q اي نش حطيت؟ Q بدل هديك على إبسل نوت حلو إيش + +779 +00:55:27,690 --> 00:55:31,810 +بإيش تكمل ال دي إي إيه مساحة إيه يا بابا السطح + +780 +00:55:31,810 --> 00:55:36,710 +جاوس مختارته مش الجسم المشحون طب السطح جاوس مش كرة + +781 +00:55:36,710 --> 00:55:40,310 +و بره مساحته أربع أبيع تربيع هي طلع الجواب كده اش + +782 +00:55:40,310 --> 00:55:46,060 +طلع هذه دي إيه طبعا ما أنتوا عارفينهاطب هو مشهوة + +783 +00:55:46,060 --> 00:55:52,000 +نفسها هذه كيك هطلع + +784 +00:55:52,000 --> 00:55:56,880 +القانون نفسه قانون + +785 +00:55:56,880 --> 00:56:01,860 +gauss أمنته فيه؟ أسئلة أصعب هالجيل هال boat is + +786 +00:56:01,860 --> 00:56:05,760 +charged القانونه زبط معايا زبط معايا تمام تمام + +787 +00:56:05,760 --> 00:56:13,520 +الآن a thin spherical shell إيش معنى shell شباب؟ + +788 +00:56:15,300 --> 00:56:20,140 +قشرة كراوية قشرة thin spherical shell يعني من جوا + +789 +00:56:20,140 --> 00:56:26,580 +مالها فاضية of radius a has a total charge capital + +790 +00:56:26,580 --> 00:56:31,520 +Q uniformly distributed over its surface وهذا + +791 +00:56:31,520 --> 00:56:36,980 +السطح كلها مشحون كلها مشحونة إيش بده؟ هلأ وين فيه + +792 +00:56:36,980 --> 00:56:41,710 +حمار فيه شحنات تمام؟هذا الكلب بدي احله لو انه + +793 +00:56:41,710 --> 00:56:46,610 +قانون جوس مش موجود بدي اخد عنصر مشكلة العنصر لو + +794 +00:56:46,610 --> 00:56:50,930 +عنصر هدى عنصره العنصر تبعته رينجات رينجات فوق بعض + +795 +00:56:50,930 --> 00:56:53,830 +بس كل واحد نص قطر ومختلف عن التانى بطلع عندى كرة + +796 +00:56:53,830 --> 00:56:58,310 +صح ولا لأ هدى كرة من برا يبقى فاضية هى معاه ال + +797 +00:56:58,310 --> 00:57:02,620 +chill spherical chill شبابمن جوا فاضية لو بدي + +798 +00:57:02,620 --> 00:57:04,700 +أجسمها العناصر زي أول في الشطرة الأول كده بدي + +799 +00:57:04,700 --> 00:57:08,620 +أحلها بقولها دي عبارة عن عدد rings ring بعدين ring + +800 +00:57:08,620 --> 00:57:11,600 +أكبر و ring أكبر و أكبر و أكبر لما أصيله النص + +801 +00:57:11,600 --> 00:57:15,780 +بعدين ring أصغر و أصغر و أصغر لما اتكمل التقرية + +802 +00:57:15,780 --> 00:57:19,720 +التانية صح أو لا؟ طب لل ring أنا بعرف بس ال ring + +803 +00:57:19,720 --> 00:57:22,640 +أنا بعرف لشغل واحدة أنه لو كانت النقطة بالظبط على + +804 +00:57:22,640 --> 00:57:26,440 +ال axis لو شلجت النقطة و ماعرفش مقعده تحله صعب + +805 +00:57:26,440 --> 00:57:30,820 +كتير جاوس قاللي هذا لو بيحتحلهبدون جاوس بدك ثلاث + +806 +00:57:30,820 --> 00:57:35,360 +صفحات و بدك ثلاث صفحات يكون عندك مهارة calculus + +807 +00:57:35,360 --> 00:57:40,900 +عالية بتكفيكاش calculus بيه بدك advanced calculus + +808 +00:57:40,900 --> 00:57:44,560 +عشان تعرف تحلوه و بدك صفحاتين تلاتة جاوس حللك إياه + +809 +00:57:44,560 --> 00:57:49,700 +بسطرسطر واحد حلو يعني احنا في ال .. في المساقات + +810 +00:57:49,700 --> 00:57:52,500 +المتقدمة في سنة تلتة بنديهم مساق مشابق بنقولهم + +811 +00:57:52,500 --> 00:57:55,580 +احسبه و مش بجاوس حاجة ده ابقى قاعد يحسب صفحتين + +812 +00:57:55,580 --> 00:57:58,480 +تلتة و تكملة طويلة عريضة عشان اطلع الجواب اللي + +813 +00:57:58,480 --> 00:58:03,020 +بيطلعه اجاوس بنص سطر تمام؟ هتشوف اول كلمة ده حلو + +814 +00:58:03,020 --> 00:58:07,540 +اول الشكل ماله الشكل المشهول ايه شكله؟ كراوي صح + +815 +00:58:07,540 --> 00:58:12,260 +ولا لأ ينطبق عليه قانون جاصل او ينطبق؟ ينطبق اول + +816 +00:58:12,260 --> 00:58:16,240 +شوش بده بقولي؟هذا نسقطر ايه؟ بيقولي find the + +817 +00:58:16,240 --> 00:58:19,460 +magnitude of the electric field at a point outside + +818 +00:58:19,460 --> 00:58:23,580 +the shell يعني R أكبر من ايه؟ بده نقطة برا واضح + +819 +00:58:23,580 --> 00:58:27,840 +شباب؟ و E inside the shell يعني مسافة R بس تكون + +820 +00:58:27,840 --> 00:58:31,620 +أقل من ايه؟ يعني بده نقطة برا و نقطة جوا حلو + +821 +00:58:32,280 --> 00:58:36,860 +Solution من كل مرة شباب بتطلع على الجسم المشحون + +822 +00:58:36,860 --> 00:58:40,860 +إذا أحد الأشكال اللي حكينا عنها بكمل مش أحد + +823 +00:58:40,860 --> 00:58:44,120 +الأشكال بشوف القانون غير قانون gauss واضح شباب + +824 +00:58:44,120 --> 00:58:49,730 +فيرجعتش جسم المشحون كرهفاضية مليانة صغيرة كبيرة من + +825 +00:58:49,730 --> 00:58:54,170 +الجعوة المهم كورة ولا مش كورة؟ كورة sphericalشل + +826 +00:58:54,170 --> 00:58:59,410 +spherical فهي قشرة كراوية ينطبق عليها قانون جاوس؟ + +827 +00:58:59,410 --> 00:59:02,910 +ينطبق الخطوة التالية بدي اختار قانون جاوس قبل ما + +828 +00:59:02,910 --> 00:59:05,430 +اختار قانون جاوس بقول وين بدك تشدتي المجال عشان + +829 +00:59:05,430 --> 00:59:09,030 +تجيب ال point ايش point بده في الأول؟ outside the + +830 +00:59:09,030 --> 00:59:13,590 +shell we choose any arbitrary point outside the + +831 +00:59:13,590 --> 00:59:16,700 +shell و الحلبة الحمرة ايش هذه؟ دلوقتي ولا برا؟طب + +832 +00:59:16,700 --> 00:59:19,880 +مشعون انا مش مشعون اه ماهي جوا في شحنات تلقي + +833 +00:59:19,880 --> 00:59:25,180 +الجواب على طول بتطلع بيقول نفسي اللي عملته هذا هو + +834 +00:59:25,180 --> 00:59:29,060 +بيطلع الجواب وهذا الـQ in بيساوي الـQ ولا لا الـQ + +835 +00:59:29,060 --> 00:59:34,400 +in هنا كلها جوا كل شحناتها وين الحلاوة الحلاوة هنا + +836 +00:59:34,400 --> 00:59:40,860 +هذه كفتك منها بي عيده في بي وين بده شباب بده جوا + +837 +00:59:40,860 --> 00:59:44,460 +هذه النقطة تبعتك بده اختار سطح جاس كيف + +838 +00:59:47,080 --> 00:59:52,960 +هو يلّا شطرين جديش فيه شحنات جوا جديش نتيجة يقول + +839 +00:59:52,960 --> 00:59:56,440 +وردي مصهله هذه اللي بده تلت أربع صفحات في حل في + +840 +00:59:56,440 --> 00:59:59,780 +الطريقة الأولى عشان أطلع السفر هذا بده تلت أربع + +841 +00:59:59,780 --> 01:00:02,960 +صفحات و بده مهارة عالية في ال calculus عشان أطلع + +842 +01:00:02,960 --> 01:00:08,870 +السفرلأ انا هجيبها المصممة هجيبها أنا وياك هجيبها + +843 +01:00:08,870 --> 01:00:11,970 +و بقى بيفرجي جد السيلة في هذه الحالة طبعا ان انا + +844 +01:00:11,970 --> 01:00:17,510 +هاعيدها مددش QA مددش نتيجة نتيجة نتيجة نتيجة نتيجة + +845 +01:00:17,510 --> 01:00:17,850 +نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة + +846 +01:00:17,850 --> 01:00:17,890 +نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة + +847 +01:00:17,890 --> 01:00:23,990 +نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة + +848 +01:00:23,990 --> 01:00:33,410 +نتيجة نتيجة نتيجة نتيجة + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..7b43619d05b5a95bef376187c7cdd609e99b14ed --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0_raw.srt @@ -0,0 +1,3405 @@ +1 +00:00:09,700 --> 00:00:15,480 +بسم الله الرحمن الرحيم وحكينا ان الشابتر التاني + +2 +00:00:15,480 --> 00:00:22,200 +بيحكي عن قانون gauss خلينا نبدأ من هنا قانون gauss + +3 +00:00:22,200 --> 00:00:28,360 +هو عنوان الشابتر التانيقانون جاوس كمان مرة شباب + +4 +00:00:28,360 --> 00:00:33,180 +الشبطر هذا قصير فكره محدودة لكن خلّيني أقول سهل + +5 +00:00:33,180 --> 00:00:38,480 +ممتنع إذا الطالب مافهمهاش بتوفي الأسئلة فبالتالي + +6 +00:00:38,480 --> 00:00:42,420 +هو في فكرتين كيف أحسب ال flux وكيف أستفيد من قانون + +7 +00:00:42,420 --> 00:00:46,060 +جاوس عشان أحسب شدة المجال الكهربائي قبل ما أفوت + +8 +00:00:46,060 --> 00:00:50,080 +على قانون جاوس بالزمني أعرف ال electric flux اللي + +9 +00:00:50,080 --> 00:00:54,200 +بيعتمد عليه قانون جاوس فأول موضوع حكينا عنه هو ال + +10 +00:00:54,200 --> 00:00:58,230 +electricفلكس او الفيض الكهربائي التعريف بتبعه + +11 +00:00:58,230 --> 00:01:03,530 +بصورة بسيطة جدا ان ال electric flux is a measure + +12 +00:01:03,530 --> 00:01:07,030 +of the number of electric field lines penetrating + +13 +00:01:07,030 --> 00:01:10,990 +some surface in a direction perpendicular to that + +14 +00:01:10,990 --> 00:01:15,990 +surface.إذن الفيض الكهربائي هو قياس لعدد خطوط + +15 +00:01:15,990 --> 00:01:19,770 +المجال التي تخترق سطح مه.عشان يكون في عندي فيض + +16 +00:01:19,770 --> 00:01:23,660 +بدخل خطوط مجال وو يكون في اختراق لتفتح قطوط المجال + +17 +00:01:23,660 --> 00:01:25,660 +الحالي مابتكفيش يعني المجال الكهربائي موجود + +18 +00:01:25,660 --> 00:01:28,580 +مابتكفيش ان اقول ان في عندى فايد لازم يكون في + +19 +00:01:28,580 --> 00:01:34,860 +اختراق فهذا التعريف حطوه بقانون قالوا ان ال flux + +20 +00:01:34,860 --> 00:01:39,980 +لرمزه capital Phi equal E ضد ال A او E ضد ال A + +21 +00:01:39,980 --> 00:01:42,680 +بنعرف ان E في A في ال cosine الزاوية اللي بينهم + +22 +00:01:42,680 --> 00:01:47,410 +على اعتبار ان فيتا is the angle between E and Aالـ + +23 +00:01:47,410 --> 00:01:52,330 +Area اللى وجفنا عندها بنقول A is a vector quantity + +24 +00:01:52,330 --> 00:01:57,670 +من التعريف بتكون متعامدة على A وB أو متعامدة على + +25 +00:01:57,670 --> 00:02:01,490 +المستوى او متعامدة على السطح اذا دائما بتكون + +26 +00:02:01,490 --> 00:02:10,030 +متعامدة على السطحوهو دائما خارج من الأسطح المغلقة + +27 +00:02:10,030 --> 00:02:13,530 +طبعا انا اجري صار في عندي سطح مغلق وسطح مش مغلق + +28 +00:02:13,530 --> 00:02:17,070 +كيف بدي اميز بين سطح مغلق وسطح مش مغلق قالوا شغلها + +29 +00:02:17,070 --> 00:02:20,970 +سهل من التعريف مش هو سطح المغلق بيقول by closed + +30 +00:02:20,970 --> 00:02:25,340 +surface we mean that surfaceالتي تقوم بتقسيم + +31 +00:02:25,340 --> 00:02:27,860 +المكان إلى مناطق الداخل والخارج + +32 +00:02:36,240 --> 00:02:39,720 +بقولنا الورقة هذه كسطح لحالها إذا ما تكون في أماكن + +33 +00:02:39,720 --> 00:02:42,680 +يقول هنا جوا الورقة أو هنا برا الورقة لأ إذا هذه + +34 +00:02:42,680 --> 00:02:46,500 +سطح مفتوح مش مغلق لكن نتيجة تطلع كورة شباب تعرف + +35 +00:02:46,500 --> 00:02:49,720 +الكورة؟ في جوا كورة و برا كورة ولا لأ إذا سطح + +36 +00:02:49,720 --> 00:02:53,920 +الكورة سطح مغلق ولا لأ سطح مغلق الصوانة مغلقة يعني + +37 +00:02:53,920 --> 00:02:57,260 +إلا قاعدتين و تمام تمام برضه في جوا للصوانة و برا + +38 +00:02:57,260 --> 00:03:00,800 +للصوانة هذه الغرفة لو سكرنا كل بواب مقدر نقول انت + +39 +00:03:00,800 --> 00:03:04,210 +جوا غرفة و في ناس برا الغرفة ولا لأأذا الغرفة دي + +40 +00:03:04,210 --> 00:03:10,310 +تحتوي على سطح مغلق بس الغرفة أكم سطح لها؟ ستة + +41 +00:03:10,310 --> 00:03:17,070 +الكرة و واحد استوانة3 تبارك الله عليكم فدي مش + +42 +00:03:17,070 --> 00:03:20,210 +بيقول ايه بيقول لما يكون يزور من سطح مغلق بالاضافة + +43 +00:03:20,210 --> 00:03:23,210 +إلى أن يكون عمودي على السطح بيكون برا طيب احنا + +44 +00:03:23,210 --> 00:03:26,390 +اتفقنا نقول فيها كم سطح لها ستة نبدأ في السجف + +45 +00:03:26,390 --> 00:03:31,730 +السطح من السطح اتجاه المساحة تبع السجف كيف لأعلى + +46 +00:03:31,730 --> 00:03:39,030 +عمودي و برا عمودي و برا طب الأرض لأسفل الحيطة هذه + +47 +00:03:39,900 --> 00:03:43,960 +للخارج هيك، للحيطة هذه هيك، للحيطة هذه برا، للحيطة + +48 +00:03:43,960 --> 00:03:47,120 +هذه برا، هذه معناتها، إذا .. إضافة إلى أنه يكون + +49 +00:03:47,120 --> 00:03:50,960 +عمودي، إذا كان دزل من سطح مضلق، بيكون outward، وده + +50 +00:03:50,960 --> 00:03:54,860 +شباب؟ طبعا الصوانة، لو قلنا هي الصوانة، اعتبار، + +51 +00:03:54,860 --> 00:03:57,860 +مظبوط ولا لأ؟ هي قعدة العلوية، كيف بيكون اتجاه + +52 +00:03:57,860 --> 00:04:02,830 +المساحة؟ لأعلى، وهال؟ طب وهذه؟ع كل جوار موفمكة + +53 +00:04:02,830 --> 00:04:05,390 +بيكون باتجاه أنصاف الأقطار شباب لما يكون السطح + +54 +00:04:05,390 --> 00:04:09,470 +منحني العمودي على أي curve خدناها فيه Z ألف بيكون + +55 +00:04:09,470 --> 00:04:11,870 +باتجاه أنصاف الأقطار لأن نص القطر عمودي على + +56 +00:04:11,870 --> 00:04:15,470 +المماسات صح ولا لأ فنص القطر عمودي على السطح دائما + +57 +00:04:15,470 --> 00:04:20,750 +فهذا لما يكون السطح ملتوي خلاص العملية سهلة جدا + +58 +00:04:20,750 --> 00:04:26,390 +صارت طبعا حكينا من التعريف أن ال flux كمية + +59 +00:04:26,390 --> 00:04:30,550 +فيزيائية جديدة vector ولا scalarسكيلر .. طب حلو + +60 +00:04:30,550 --> 00:04:33,390 +السكيلر سهل .. التعامل مع سكيلر أسهل من التعامل مع + +61 +00:04:33,390 --> 00:04:35,350 +vectors .. على الأقل جامع حبيب الطريق يقول لي + +62 +00:04:35,350 --> 00:04:39,190 +ويحلل وما تحللش .. صح ولا لأ .. تمام .. it is a + +63 +00:04:39,190 --> 00:04:41,670 +force from the last equation that fires a scalar + +64 +00:04:41,670 --> 00:04:45,110 +quantity .. طيب طب وحدتها .. مالهاش وحدة خاصة بيها + +65 +00:04:45,110 --> 00:04:49,920 +.. مشتقة من تعريفها .. إيش تعريفها؟E لها واحدة E + +66 +00:04:49,920 --> 00:04:54,540 +ولا لا؟ الـNewton على كله والـArea متر تربية، إذن + +67 +00:04:54,540 --> 00:04:57,420 +الـNewton متر تربية على كله، إذن واحدتها معروف + +68 +00:04:57,420 --> 00:05:04,620 +ومشتقة من القانون، ماعندي أي مشكلة. طيب القانون + +69 +00:05:04,620 --> 00:05:10,480 +هذا اللي حكيناه إن الـFlux بتساوي أو القانون حطناه + +70 +00:05:10,480 --> 00:05:15,900 +بتساوي E ضد الـA، حلو، ده اللي يرجع لللوح، اللوح + +71 +00:05:15,900 --> 00:05:19,300 +مسحته بتعرفوها تجيبوها؟أه بجيب متر بجيب صورة عرضة + +72 +00:05:19,300 --> 00:05:23,920 +و خلاص تيجي المساحة جالي لو المجال جوا اللوح مثابت + +73 +00:05:23,920 --> 00:05:29,600 +يعني هنا في مجال هل في مجال طب و هنا مجال مختلف لو + +74 +00:05:29,600 --> 00:05:32,700 +هدا اي واحد هدا اي اتنين طب هنا بقول مجال مختلف + +75 +00:05:32,700 --> 00:05:40,620 +برضه مثابت هنا اي اربعة و هكذا هنا اي خمسة اذا انا + +76 +00:05:40,620 --> 00:05:45,890 +قاعد بشتغلبدا يحسب ال facts خلال اللوح وين ما فيه + +77 +00:05:45,890 --> 00:05:48,190 +في اللوح فيه مجالات لكن كل واحد مجاله مختلف عن + +78 +00:05:48,190 --> 00:05:51,570 +الكاني و we can كل هنا سافر و هنا مالفيش في مرة + +79 +00:05:51,570 --> 00:05:54,370 +فيه و مرة مافيش و هنا مقدار كبير و هنا مقدار صغير + +80 +00:05:54,370 --> 00:05:57,470 +بيقول if E is not constants over the surface in + +81 +00:05:57,470 --> 00:06:01,110 +question كيف بيك تحسبها؟ ايه عرفت اجيبها؟ كيف E + +82 +00:06:01,110 --> 00:06:06,760 +بدي اجيبها؟بنفعش تجيب المحاصرة E وتضربها في E يا + +83 +00:06:06,760 --> 00:06:11,880 +شباب لأنه إنت لما تجيب محاصرة E هل كل المساحة إلها + +84 +00:06:11,880 --> 00:06:15,120 +نفس القيمة؟ لأ، بيقولي إيش تسوي؟ بيقولي إجري ورا + +85 +00:06:15,120 --> 00:06:19,060 +المجال أسهل حاجة، بيقولي مش إنت E هنا بتعرفها؟ أه + +86 +00:06:19,060 --> 00:06:23,340 +تعرفها، هذي بس E هنا، جيلي خد مساحة أجدها، أجدها + +87 +00:06:23,340 --> 00:06:26,880 +بس، هذي مساحة صغيرة، بتعرفي تجيبها، جيبلي Flux + +88 +00:06:26,880 --> 00:06:30,500 +لهذه المساحة، جيبتلي Flux، تمام؟ لما تجيبلي Flux + +89 +00:06:30,500 --> 00:06:32,480 +لهذه المساحة، بدك E2 ولا بدك E1؟ + +90 +00:06:53,190 --> 00:06:59,090 +بتجسم جزء من المساحة يعني عنصر، إيش مساحة عنصر؟DA + +91 +00:06:59,090 --> 00:07:04,030 +مظبوط او لا مساحة العنصر دي ايه اذا بيقولك في هذه + +92 +00:07:04,030 --> 00:07:07,350 +الحالة كلها بتشتغل بيقولي هيك بتصير القانون ايه + +93 +00:07:07,350 --> 00:07:14,590 +ضُبط الـDA جسمت المساحة لعناصر جبت ال flux لعنصر و + +94 +00:07:14,590 --> 00:07:19,510 +بعدين كملت او جمعت طلع ال flux الكل تمام القانون + +95 +00:07:19,510 --> 00:07:23,930 +الأول هيه القانون الاجيد هيه طيب هذا القانون ايه + +96 +00:07:23,930 --> 00:07:27,670 +شرطه ان هذا ايش تكون ثابت طب لو هذا ثابت ايش بيصير + +97 +00:07:28,960 --> 00:07:32,580 +طلّيها برا .. برجع القانون .. برجع .. إيش تكامل + +98 +00:07:32,580 --> 00:07:35,560 +اللي دي إيه .. إيه .. إيه .. إيه .. إيه .. إذا هذا + +99 +00:07:35,560 --> 00:07:38,600 +القانون أشمل شباب .. هذا القانون أشمل .. يعني هذا + +100 +00:07:38,600 --> 00:07:41,280 +أحلى .. خلاص مديني لا بقعد أفكر ولا حاجة .. إيه + +101 +00:07:41,280 --> 00:07:45,320 +ثابت .. طب أطلّيها برا تكامل .. مابديش شغلة .. not + +102 +00:07:45,320 --> 00:07:47,680 +that if E is constant .. بقول إذا كانت E is + +103 +00:07:47,680 --> 00:07:51,530 +constant .. برجعلك ..over the surface it should be + +104 +00:07:51,530 --> 00:07:54,750 +taken out of the integration بطلّح عبر التكامل and + +105 +00:07:54,750 --> 00:07:57,750 +we recover the first equation اللي هي هذه زي ما + +106 +00:07:57,750 --> 00:08:01,590 +كنت متوقع يعني هذا القانون هذا بيسدّلي عن كل تعريف + +107 +00:08:01,590 --> 00:08:04,790 +الفرق سهل هجيب مش تحكي هذا القانون للمتغير لإي + +108 +00:08:04,790 --> 00:08:07,790 +متغير بفضل طب أنا ايه بعوض اي واحد والا اتنين والا + +109 +00:08:07,790 --> 00:08:08,470 +اترين اتنين اترين اترين اترين اترين اترين اترين + +110 +00:08:08,470 --> 00:08:10,590 +اترين اترين اترين اترين اترين اترين اترين اترين + +111 +00:08:10,590 --> 00:08:12,050 +اترين اترين اترين اترين اترين اترين اترين اترين + +112 +00:08:12,050 --> 00:08:15,160 +اترين اترين اترين اترجزيئات .. سطح .. جزء واحد .. + +113 +00:08:15,160 --> 00:08:18,040 +جزء سطح .. انت ايه .. هذه عند الجزء اللي اخترته .. + +114 +00:08:18,040 --> 00:08:20,760 +ذاك لما كنا ناخد عنصر .. مش هيجينا ناخد كل عنصر .. + +115 +00:08:20,760 --> 00:08:22,460 +كل عنصر واحد .. ال brackets .. عنصر واحد .. اذا + +116 +00:08:22,460 --> 00:08:26,350 +هذه الدين عند عنصر اللي اخترتهانت عليا كيف؟ لأ + +117 +00:08:26,350 --> 00:08:29,390 +طبعا هناك انا باخد و بعدين بيبقى ليش؟ لأنك انت و + +118 +00:08:29,390 --> 00:08:33,170 +انت بتكامل ايه عاملة تتغير كل كلمة تغير عنصرك بتجي + +119 +00:08:33,170 --> 00:08:37,590 +لورا فهذه ايه تبعت عنصر دي ايه؟ تبعت عنصر دي ايه؟ + +120 +00:08:37,590 --> 00:08:40,610 +سؤالك مهم انه ايه هذه تبعت عنصر دي ايه؟ اللي انا + +121 +00:08:40,610 --> 00:08:43,230 +اخترته لان انا اختار عنصر واحد و بعدين التكامل + +122 +00:08:43,230 --> 00:08:46,710 +بيجيبلي كل شيء تمام؟ لأنه بيجيب علاقة و شغلات يعني + +123 +00:08:46,710 --> 00:08:48,170 +بالتالي ماوفه + +124 +00:08:55,660 --> 00:09:00,460 +طب اه انت + +125 +00:09:00,460 --> 00:09:02,940 +لما اتكامل ايه بتسويه؟ هو ايه هذي انت لما اتكامل + +126 +00:09:02,940 --> 00:09:05,140 +ايه بيبقى الدولة اللي اتلقتها و بيتغير معاك؟ + +127 +00:09:05,140 --> 00:09:08,360 +بيتغير .. بيتغير .. في مين جالك constant C؟ في مين + +128 +00:09:08,360 --> 00:09:10,560 +جالك constant C؟ ممكن تجولي من أفير على تكمل + +129 +00:09:10,560 --> 00:09:13,100 +الحدود .. اه .. و انا انت هجيت اللي و حلقت دلوقتي + +130 +00:09:13,100 --> 00:09:16,850 +مع الضغط ماشي على قانونيس؟ولا بتتخلص عند اللوح .. + +131 +00:09:16,850 --> 00:09:19,590 +اذا في نهاية .. في نهاية انه يتكامل ولا لا .. + +132 +00:09:19,590 --> 00:09:22,510 +بتبقى هتخلص هنا .. اذا هو بتبدأ يوم التلك انت عارف + +133 +00:09:22,510 --> 00:09:25,230 +.. انت بتبقى هتتكامل .. مافيش ده إتسي .. زي إتسي + +134 +00:09:25,230 --> 00:09:27,710 +فانت تقوم بالنوكالكولاس .. لأن التكامل ماعرفش حدود + +135 +00:09:27,710 --> 00:09:29,890 +.. أما انت عندك هنا بتجيب الشخلية دي .. انت عارف + +136 +00:09:29,890 --> 00:09:31,690 +انت بتجيب معاها .. انت بتجيب مع اللوح .. بتبدأ + +137 +00:09:31,690 --> 00:09:35,330 +نجينا .. و بتنكي هنا .. بتبقاش ماشي .. يعني كده .. + +138 +00:09:35,330 --> 00:09:39,770 +اخونا احنا صح حلنا .. بنجيب .. لما نصلها .. بنجيب + +139 +00:09:39,770 --> 00:09:45,560 +..طبعا نشرح نشرح انا لما نيجي احضري فانا بنجيب و + +140 +00:09:45,560 --> 00:09:54,080 +اكتر افرج تمام حلو طبعا + +141 +00:09:54,080 --> 00:09:58,040 +هاجات بدو يشرح اكتر على ال surface خليني انا قبل + +142 +00:09:58,040 --> 00:10:00,040 +ما اشرح هذه الرسمه اللي انا جيبتها من ال net يبدو + +143 +00:10:00,040 --> 00:10:02,140 +انها مش واضحه و لا مش واضحه و لا لأ خليني اعمل + +144 +00:10:02,140 --> 00:10:07,700 +التالي شباب مديش اجيب الرسمهو بعدين أجيب الرسمة و + +145 +00:10:07,700 --> 00:10:11,960 +بدي أجيب هذه الرسمة هذي إيش كرة صح كرة مش دويرة + +146 +00:10:11,960 --> 00:10:20,220 +كرة مسكرة من جوا و بدي أخف مجال الشباب دخل + +147 +00:10:20,220 --> 00:10:25,040 +و بعدين خرج امنيع اخترق ولا ماخترقش أكمر اخترق + +148 +00:10:25,040 --> 00:10:30,480 +السطحمرة داخل و مرة خارج صح ولا لأ طيب بدي احسب ال + +149 +00:10:30,480 --> 00:10:34,960 +flux بدي احسبه مرتين مش هو ال flux جدش فيه اختراق + +150 +00:10:34,960 --> 00:10:41,940 +بدي احسبه مرتين اول لما دخل و من اين دخل من هنا صح + +151 +00:10:41,940 --> 00:10:46,420 +فاكرولي بالمساحة كفي اتجاهها حسب القاعدة توع منها + +152 +00:10:46,420 --> 00:10:55,280 +عبودي ولا برا هي ايه و هي ايهكداش الزاوية 180 درجة + +153 +00:10:55,280 --> 00:11:00,240 +كداش كصانية 180 سالك واحد سالك واحد طب هنا كيف + +154 +00:11:00,240 --> 00:11:06,980 +المساحة فارقة اذا هال ايه و هال ايه كداش الزاوية + +155 +00:11:06,980 --> 00:11:12,220 +بينهم سفر كصانية سفر قد ايه و هناك رقص واحد جمعوهم + +156 +00:11:12,220 --> 00:11:16,480 +طلع Zero بقولي هذا المقادرة شغلة مبتقية انت البقية + +157 +00:11:16,480 --> 00:11:20,810 +تانية قاعد تحسباختراق .. اختراق داخل واختراق خارج + +158 +00:11:20,810 --> 00:11:25,270 +معناته وكأنه ماعملش حاجة في النهاية كمقصلة اذا ال + +159 +00:11:25,270 --> 00:11:28,670 +flux بيساوي سفر تمام؟ قاللي بصورة اجمالية الرسم + +160 +00:11:28,670 --> 00:11:33,970 +اللي انا جبتها جاب كرة زي بلونة تمام؟ زي بلونة مش + +161 +00:11:33,970 --> 00:11:36,330 +.. مش معتاجلة زي الكرة وقال هذه خطوط المجال + +162 +00:11:36,330 --> 00:11:39,850 +شايفينها؟ في خط مجال بيخش و بحرط بدل جوا ولا لازم + +163 +00:11:39,850 --> 00:11:44,750 +يطلع؟ لازم يطلع كل خطوط المجال دخلت وطلعت قاللي من + +164 +00:11:44,750 --> 00:11:51,200 +وين؟ اي خط خده انتو فكر فيه هو داخل هتلاقي الزاوية + +165 +00:11:51,200 --> 00:11:55,440 +اللى بتعملها الخط مع ايه لازم تكون منفرجة لازم + +166 +00:11:55,440 --> 00:11:58,920 +تكون منفرجة طلع يا شباب هذه الخط داخل هذه المساحة + +167 +00:11:58,920 --> 00:12:03,020 +لو هنا عمودي بيكون هيك في الزاوية المنفرجة عندها + +168 +00:12:03,020 --> 00:12:07,060 +بيكون هيك الزاوية المنفرجة في المكان لو هذه جسية + +169 +00:12:07,060 --> 00:12:10,420 +هتمشتر و جبت هنا هلاقي ايه هيها و ايه هيها زاوية + +170 +00:12:10,420 --> 00:12:15,080 +هذه جداش منفرجة وقصارى الزاوية المنفرجة جداش سالب + +171 +00:12:15,950 --> 00:12:20,830 +وهو طالع احنا خدنا ال zero لكن لو كان مش منتظم زي + +172 +00:12:20,830 --> 00:12:26,290 +هنا بيكون هيك وهي خط الذاوية هتكون حادة الذاوية + +173 +00:12:26,290 --> 00:12:33,130 +هتكون حادة بالنهاية هو داخل عنده flux سالب وهو + +174 +00:12:33,130 --> 00:12:40,250 +خارج عنده flux موجب جمع ال fluxات هيطلع zero جمع + +175 +00:12:40,250 --> 00:12:45,960 +ال fluxes هيطلع zero طلعش هنا بيقول ايه؟أوضع كانت + +176 +00:12:45,960 --> 00:12:50,680 +بشكل منتظر حقا خاصة بس هو حاول يعمّمها في البداية + +177 +00:12:50,680 --> 00:12:55,940 +بيقول if E طالعة الشجة التانية شباب كتور فاكر فيها + +178 +00:12:55,940 --> 00:12:59,340 +كتور و هو طالع بتكون الزاوية حادة أقل من تسعين + +179 +00:12:59,340 --> 00:13:02,880 +درجة hence the flux through this element is + +180 +00:13:02,880 --> 00:13:11,020 +positive و if E is entering و هو داخلبيكون الزاوية + +181 +00:13:11,020 --> 00:13:15,480 +more than 90 degree يعني منفرجة and so the flux + +182 +00:13:15,480 --> 00:13:19,380 +for such an element is negative بيقول المحصلة اللي + +183 +00:13:19,380 --> 00:13:23,480 +أديتكم إياها من أول بيقول from this argument من + +184 +00:13:23,480 --> 00:13:27,740 +هذا الجدال we can expect that if a field line + +185 +00:13:27,740 --> 00:13:33,560 +entering and leaving the same closed surface the + +186 +00:13:33,560 --> 00:13:36,100 +net electrical flux through the closed surface + +187 +00:13:36,100 --> 00:13:41,610 +from that line is zeroدخل وخرج فأنا أقول فلكسل + +188 +00:13:41,610 --> 00:13:47,450 +Zero دخل وخرج تمام؟ هذا ما نريده عندي خمس خطوط + +189 +00:13:47,450 --> 00:13:52,150 +دخلت و خمس خطوط خرجت كم فلكسل؟ سفر بس هذا الكلام + +190 +00:13:52,150 --> 00:13:55,430 +لأي سطح لازم يكون مغلق لو السطح مش مغلق يدخل و + +191 +00:13:55,430 --> 00:13:59,170 +يخرج؟ ماوجود مجال يدخل و يخرج رجعنا لهذه هلجأت لو + +192 +00:13:59,170 --> 00:14:04,210 +هان إيه جاقة اخترق برجعلها؟ ببقى مراجعلأن هنا + +193 +00:14:04,210 --> 00:14:07,690 +مافيش غيرها، صحيحة، لكن لما تكون مغلقة، بعض بتجيها + +194 +00:14:07,690 --> 00:14:10,530 +كمان مرة و بتخترقها، إذا هذا كلامنا مين؟ الأسطح + +195 +00:14:10,530 --> 00:14:13,950 +المغلقة فقط، تمام؟ يعني خلّيني أقول غرفة هادي، + +196 +00:14:13,950 --> 00:14:18,130 +إجاني خط من برا، بدي تطلع من هنا، بدي تطلع من هنا، + +197 +00:14:18,130 --> 00:14:22,110 +بيجي اخترق من هنا و طلع من هنا، ال flux صفر، تمام؟ + +198 +00:14:22,110 --> 00:14:24,870 +لما تكون السطح مغلق، لكن لما تكون السطح مرتوح، هذا + +199 +00:14:24,870 --> 00:14:30,950 +الكلام لا يسري عليهالان جالي اودد لفلكسة على سطح + +200 +00:14:30,950 --> 00:14:34,330 +مغلق و لاجئت ان عدد خطوط المجال الداخل بالسائر + +201 +00:14:34,330 --> 00:14:37,420 +الخارجة بقول zero بدون اي شيءعلى طول بقول zero + +202 +00:14:37,420 --> 00:14:40,080 +بدون حلول احنا نحل احنا اسئلة و نشوف ان هذا كلام + +203 +00:14:40,080 --> 00:14:44,800 +صحيح ولا لأ هذا مثال بسيط جدا بيقولوا خلينا نحسب + +204 +00:14:44,800 --> 00:14:47,580 +ال flux أبسط حاجة what if the electric flux + +205 +00:14:47,580 --> 00:14:50,780 +through a sphere that has a radius of one meter + +206 +00:14:50,780 --> 00:14:54,600 +and carries a charge of one micro column at its + +207 +00:14:54,600 --> 00:14:58,420 +center بيقولوا عندي كورة في مركزها في شحنة شباب + +208 +00:14:58,420 --> 00:15:03,170 +الشحنة الزرقى شايفينها هذه الشحنةوالكورة الخامة + +209 +00:15:03,170 --> 00:15:08,550 +كورة محيطة بالشحنة بيقول اوجد ال flux خلال سطح + +210 +00:15:08,550 --> 00:15:12,890 +الكورة القانون واضح E ضد ال DA كتاب كابل هذا هو + +211 +00:15:12,890 --> 00:15:16,810 +القانون اللي بنعرفه ال flux بالساوية E ضد ال DA + +212 +00:15:16,810 --> 00:15:19,610 +إذا E كانت مطلقة خارجها برجع هذا القانون صح ولا + +213 +00:15:19,610 --> 00:15:24,630 +لأ؟ تمامأنا بدأ أرسم خطوط مجال طب احنا اتعلمنا كيف + +214 +00:15:24,630 --> 00:15:27,350 +نرسم خطوط المجال ولا لأ؟ الشحنات الموجة كيف بيكون + +215 +00:15:27,350 --> 00:15:30,930 +طالع منها ولا لأ؟ ها خطوط المجال رسمناها اتصوروا + +216 +00:15:30,930 --> 00:15:34,910 +انتوا الكورة الحمرا في خطوط ما اخترقتها؟ في خطوط + +217 +00:15:34,910 --> 00:15:42,870 +اخترقتها ولا لأ؟ اه في خطأ خرج وعود دخل كلهم مالهم + +218 +00:15:42,870 --> 00:15:48,540 +خرجوا إذا في fluxمافيش تداخل بيصور خارج .. إذا فى + +219 +00:15:48,540 --> 00:15:52,400 +فلكس .. نجى نحسبه .. إذا بدنا نحسبه مافيش هي قانون + +220 +00:15:52,400 --> 00:15:55,900 +.. إيش عشان نحسب القانون .. إيش بدي .. بدي إيه .. + +221 +00:15:55,900 --> 00:15:59,520 +طب إيه مساحة القرى في حد بيعرفهاش .. مش 4 by R + +222 +00:15:59,520 --> 00:16:02,500 +تربية .. مساحة القرى سهلة .. وإذا بدكم إياها .. + +223 +00:16:02,500 --> 00:16:05,280 +نديكم إياها .. مش قضيتنا .. أما نعرف إن القرى اللي + +224 +00:16:05,280 --> 00:16:07,600 +همسها العالم .. ماعرفش .. إلا قانون الصينية .. شغل + +225 +00:16:07,600 --> 00:16:10,380 +تانية .. لكن إلا قانون عارفينه .. بقى أحسب إيه .. + +226 +00:16:10,380 --> 00:16:15,030 +طب إيه من وين جا هو ..من شحنة وشحنة point of + +227 +00:16:15,030 --> 00:16:19,930 +charge وإلى قانون كله ولا مانهاش إلى قانون كله إذا + +228 +00:16:19,930 --> 00:16:25,510 +بقدر أجيبه إذا بقول solution the electric field at + +229 +00:16:25,510 --> 00:16:28,890 +any point on the surface of the sphere is هذا هو + +230 +00:16:28,890 --> 00:16:35,310 +عارفين القانون هذا طيب شوفناها قبل كده حلو اطلعوا + +231 +00:16:35,310 --> 00:16:35,710 +شباب + +232 +00:16:42,590 --> 00:16:48,320 +بتتغير Eهل ايه ثابت على السطح و لا مالثابت؟ ثابت + +233 +00:16:48,320 --> 00:16:52,180 +لأن نفسي رؤوس القطر لأن الوضع هو رؤوس القطر طول ما + +234 +00:16:52,180 --> 00:16:55,440 +انا على السطح بدرب ولا ابعد عن الكلب؟ لا بدرب ولا + +235 +00:16:55,440 --> 00:17:00,080 +ابعد اذا انا شدت المجال ثابت على السطح يعني هذا + +236 +00:17:00,080 --> 00:17:04,900 +القانون بينفع او بطلق هذه برضه ترجع صح او لا كيو + +237 +00:17:04,900 --> 00:17:07,900 +على R تربية احسب ولا نكيو من الدنيا هو نسقط من + +238 +00:17:07,900 --> 00:17:12,120 +الدنيا ولا لا مش مشكلة حسبه مش قضية الحساب بقدر + +239 +00:17:12,120 --> 00:17:18,790 +اطلعهتمام now ل flux اخدت هذا عشان انه ثابت احنا + +240 +00:17:18,790 --> 00:17:23,150 +اتفقنا صح ولا لأ ايه dot ال ايه طيب الخطوط اللي + +241 +00:17:23,150 --> 00:17:26,590 +انا رسمتها عند كل خط كل واحد يحسب لي ايه كيف + +242 +00:17:26,590 --> 00:17:31,860 +اتجاهها عند اي خط خدواجدّاش الزاوية بتعمل بين E و + +243 +00:17:31,860 --> 00:17:37,480 +A؟ Zero كصاني Zero One إذا E Dot A بيساوي E في A + +244 +00:17:37,480 --> 00:17:41,560 +في كصاني Theta The field points linearly outward + +245 +00:17:41,560 --> 00:17:46,100 +المجال مع أنصاف الأقطار أصلا و المساحة لازم تكون + +246 +00:17:46,100 --> 00:17:49,280 +مع أنصاف الأقطار إذا كصاني Theta بتساوي واحد يعني + +247 +00:17:49,280 --> 00:17:55,100 +Theta بتساوي Zero حل السؤال إذا E في A بتساويهذا + +248 +00:17:55,100 --> 00:18:00,180 +في 4πr تربيع في cosine السفر صح ولا لأ بطلّع إيه + +249 +00:18:00,180 --> 00:18:03,700 +جواب طبعا بطلّع إيه جواب لو جيت أنا مابديش أرقام + +250 +00:18:03,700 --> 00:18:06,500 +مابديش عندي أرقام مابدي أحلي بدون أرقام بقول سهلة + +251 +00:18:06,500 --> 00:18:12,840 +من هنا بتساوي كداش طلعنا إيه KQ على R تربيع و كداش + +252 +00:18:12,840 --> 00:18:20,720 +إيه شباب 4πR تربيع مش هيك صح؟ واحد بالظبط هذه الله + +253 +00:18:20,720 --> 00:18:27,460 +سهل عليها صح؟طيب و هذه 1 على 4 عضايا epsilon نوت + +254 +00:18:27,460 --> 00:18:36,600 +إذا إذا إيش بتطلع Q على epsilon نوت طب على Q على + +255 +00:18:36,600 --> 00:18:39,220 +epsilon نوت بتطلع رقم هذا نفسه epsilon نوت تذكرين + +256 +00:18:39,220 --> 00:18:44,620 +ديركم إياها 88.5% أه تحطايركم إذا بقتل أحسبها طلعت + +257 +00:18:44,620 --> 00:18:48,240 +Q على epsilon نوت تطلعوا عليها لو الكورة دي كبلت + +258 +00:18:48,240 --> 00:18:55,070 +شبان ال flux بتغيرلو الكورة الحمرا كبرت تغير ال + +259 +00:18:55,070 --> 00:18:58,090 +flux؟ + +260 +00:18:58,090 --> 00:19:03,530 +طب انت لماذا ما تطلع الجواب في آخر اشتغالة معايا؟ + +261 +00:19:03,530 --> 00:19:07,510 +ايش جواب فيه؟ الـQ على الـ epsilon نوت؟ باعتماد + +262 +00:19:07,510 --> 00:19:11,950 +عدس الكورة؟ باعتماد .. طيب انتوا تصوروها كبرت هجيت + +263 +00:19:11,950 --> 00:19:15,330 +أكم خط اخترق هنا؟ أكم هدول؟ تلاتة و تلاتة ستة + +264 +00:19:15,330 --> 00:19:17,410 +تمانية، تمام؟ خليهم هى + +265 +00:19:20,540 --> 00:19:26,900 +زادوا خطوطنا نفسه إذا مافيش دعوة طب زغوا نفس + +266 +00:19:26,900 --> 00:19:31,320 +الخطوط التمانية إذا صاروا facts باعتمديش على السطح + +267 +00:19:31,320 --> 00:19:35,000 +باعتمديش على السطح صح ولا لا طبعا احنا جاعدين + +268 +00:19:35,000 --> 00:19:37,140 +بنجرب لشغلة معينة واحدة واحدة + +269 +00:19:40,510 --> 00:19:43,850 +اذا طلعنا ده في النهاية اذكروا لي هد قيوة علي ابسل + +270 +00:19:43,850 --> 00:19:46,070 +ان هو اتطلع الجواب هد الرقم هو قيوة علي ابسل ان هو + +271 +00:19:46,070 --> 00:19:49,210 +اتطلع الجواب تمام؟ بس اذكروه ايش معناته؟ هد ايش + +272 +00:19:49,210 --> 00:19:55,630 +بيجربلي؟ ليش؟ بيقوللي لو مافيشش جوة شحنة جديش ال + +273 +00:19:55,630 --> 00:20:01,410 +flux؟ zero صح ولا لأ؟ لو مافيشش جوة شحنة معناته + +274 +00:20:01,410 --> 00:20:05,130 +المجال منه جاي من برا صح؟ و جاي من برا معناته اللي + +275 +00:20:05,130 --> 00:20:10,980 +داخل لازم يخرجاللي داخل لازم يخرج وإذا الداخل خرج + +276 +00:20:10,980 --> 00:20:15,640 +مثلًا وحكينا بيكون Zero إذا صار بمعنى ما أخرج لو + +277 +00:20:15,640 --> 00:20:19,960 +أحد سأله وفيه إمكانية إن المجال يدخل وما يخرجش + +278 +00:20:19,960 --> 00:20:26,340 +بيقوله أه وقتيش لما يكون فيه شحنة سالبة صح؟ لأن + +279 +00:20:26,340 --> 00:20:29,980 +المجال وين بيخلص شباب؟ عند الشحنات السالبة لو جاي + +280 +00:20:29,980 --> 00:20:33,180 +من برة وفيه شحنة سالبة بتبلع و بتقوله اقعد صح؟ + +281 +00:20:33,180 --> 00:20:37,350 +بيبقاله جواوالمجال وقتهش بيخرج بيدخلش ويكون الشحن + +282 +00:20:37,350 --> 00:20:41,270 +مجبة جوا زي هذه الحالة شوف انتوا خرج كله مادخلش + +283 +00:20:41,270 --> 00:20:45,870 +اذا هو من وين انولد؟ انولد من جوا انولد من جوا + +284 +00:20:45,870 --> 00:20:48,510 +لأنه في شحنات جوا اذا صار ال flux بيعتمد على + +285 +00:20:48,510 --> 00:20:51,910 +الشحنات اللي جوا ال flux بيعتمد على الشحنات جوا في + +286 +00:20:51,910 --> 00:20:57,450 +شحنات او مافيش شحنات حلو كما المثال بيقولي a cube + +287 +00:20:57,450 --> 00:21:03,010 +of HL ال cube كان صفة حلو شبابا والاصل تبعتهش بفرق + +288 +00:21:03,010 --> 00:21:08,170 +عالم توزن المصفاتيلات؟ان هو مربعه حلو ان هو اربع + +289 +00:21:08,170 --> 00:21:13,030 +مربع ستة مربعات اوجهه بيقول الطول حرف ال يعني + +290 +00:21:13,030 --> 00:21:17,750 +مساحة كل وجه جديش ال تربيه حلو بيقول is oriented + +291 +00:21:17,750 --> 00:21:21,070 +in a uniform electric field as shown بيقول محطوط + +292 +00:21:21,070 --> 00:21:24,930 +في مجال كهبائي uniform يعني مجال ثابت تمام ماقدر + +293 +00:21:24,930 --> 00:21:31,210 +أطلعه برا تكاملFind the net electric flux from the + +294 +00:21:31,210 --> 00:21:34,630 +surface of the cube بدّوا ال flux الكل على ال + +295 +00:21:34,630 --> 00:21:38,610 +surface كل كيوب على كل كيوب الكيوب كم وجه رسمناها؟ + +296 +00:21:38,610 --> 00:21:44,810 +ستة ستة بدّ ال flux على ست أوتو اجمعهم بعدين + +297 +00:21:44,810 --> 00:21:49,310 +متفقين نرسم ال flux الكيوب هاي الكيوب رسمناها هاي + +298 +00:21:49,310 --> 00:21:52,790 +وجهي الأصفر وهذا الوجه اللي منزج في اللوح وهذا + +299 +00:21:52,790 --> 00:21:56,280 +الوجه الأحمر اللي واجب فيك وهذا الوجه الأصفرأو + +300 +00:21:56,280 --> 00:22:00,020 +الأصفر غامج وهذا كمان وجه عليكم ماجدش ألونه لو + +301 +00:22:00,020 --> 00:22:03,480 +أنكم بيخبيه للباقيين تمام؟ وهذا الوجه الفجاني + +302 +00:22:03,480 --> 00:22:07,680 +الأخضر هاي الست أرجع بقول فيها هذا هي خطوط المجال + +303 +00:22:07,680 --> 00:22:10,000 +uniform electric field كيف المرسوم ال electric + +304 +00:22:10,000 --> 00:22:13,640 +field شباب ال uniform خطوط ما لها متوازد هذه + +305 +00:22:13,640 --> 00:22:17,700 +المرسومة أندي خطوط متوازد هيك شكله طبعا واضح من + +306 +00:22:17,700 --> 00:22:23,110 +هنا في خط دخل ومخرجشجانحة تتوقع الجواب يكون Zero + +307 +00:22:23,110 --> 00:22:27,150 +فسحب نثبته بالتفصيل أنه Zero أما هو Zero لأن + +308 +00:22:27,150 --> 00:22:29,550 +القاعدة بتقول عدد خطوط المجال اللي داخلة بيساوي + +309 +00:22:29,550 --> 00:22:32,390 +عدد خطوط المجال الخارجة صح ولا لأ؟ إذا ال flux دي + +310 +00:22:32,390 --> 00:22:36,030 +بيساوي صفر ليش؟ لأن ال cube سطح مغلق ولا مغلق؟ سطح + +311 +00:22:36,030 --> 00:22:39,350 +مغلق والقاعدة بتقول لأي سطح مغلق إذا عدد خطوط + +312 +00:22:39,350 --> 00:22:42,050 +المجال اللي داخلة بيساوي عدد خطوط المجال الخارجة + +313 +00:22:42,050 --> 00:22:48,010 +إذا ال flux بتساوي Zero ليه نحسب؟ بيقول ليthe net + +314 +00:22:48,010 --> 00:22:52,850 +flux through the cube is the sum هو مجموع the flux + +315 +00:22:52,850 --> 00:22:56,570 +through the six faces of the cube وينهم ال six + +316 +00:22:56,570 --> 00:23:00,190 +faces بيقوللي أربع هرقمك إياهم أربع هيكون اللي هم + +317 +00:23:00,190 --> 00:23:04,070 +أرقام named يعني اللي هم مسميات the four faces + +318 +00:23:04,070 --> 00:23:07,750 +named in the figure عدي حد يهم أسماء and the other + +319 +00:23:07,750 --> 00:23:11,410 +two unnumbered faces في اتنين مش هرقمهم اللي هو + +320 +00:23:11,410 --> 00:23:14,800 +اللي عليكم و اللي ملزج على اللوحةاللي عليكم و اللي + +321 +00:23:14,800 --> 00:23:17,420 +ملزج علّوه لأن اللي عليكم و اللي ملزج علّوه عادي + +322 +00:23:17,420 --> 00:23:19,960 +لما أجيب ال area بقى صعب أرسمها بده يكون واحد + +323 +00:23:19,960 --> 00:23:22,780 +عليكم و واحد علّوه من الشجرة التانية هدول بيصيروا + +324 +00:23:22,780 --> 00:23:27,020 +اللي متخيلينهم احنا تمام؟ تمام اللي هو ال fourth + +325 +00:23:27,020 --> 00:23:29,740 +and the back faces ال fourth الأمامي و ال back + +326 +00:23:29,740 --> 00:23:33,500 +الخلفي شايفين الخيار الست أوجه الشباب؟ ييجي واحد + +327 +00:23:33,500 --> 00:23:36,540 +واحد طبعا في هذه الحلقة بقول هي التجارة هي اللي + +328 +00:23:36,540 --> 00:23:41,140 +عنديقانوني طبعا التكامل في الآخر بيوح لإنه E is + +329 +00:23:41,140 --> 00:23:44,300 +uniform لكن هاي قانوني في الآخر بيقولي هاي التكامل + +330 +00:23:44,300 --> 00:23:48,720 +في الآخر أكم فضح عندك إذا جسمه نفسي التكاملات + +331 +00:23:48,720 --> 00:23:53,540 +بيصير عندك هاي التكاملالـ Flux بسوء الأول للفئة + +332 +00:23:53,540 --> 00:23:58,140 +الأول E Dot DA الفئة الأول الأحمر الشباب الأحمر + +333 +00:23:58,140 --> 00:24:03,140 +التاني الأصفر الغامق التالت الفجامي الرابع + +334 +00:24:03,140 --> 00:24:07,940 +التحتاني الخامس اللي عليكم والسادس اللي على اللوح + +335 +00:24:07,940 --> 00:24:11,940 +تماما وبده واحدة واحدة احنا وياكم نحسبها عشان احسب + +336 +00:24:11,940 --> 00:24:15,940 +E أطاقيا ولا ماأتاكشيا E أطاقيا ال direction تبعها + +337 +00:24:15,940 --> 00:24:21,100 +موجود ولا لا Eالجد عاجيجي بتديرش لمن؟ لل A's أكم + +338 +00:24:21,100 --> 00:24:27,120 +ايه عندك؟ ستة بدنا نطلع علينا واحد واحد أول واحد + +339 +00:24:27,120 --> 00:24:29,680 +اللي هو هذا الأحمر مين يقولك ايه في اتجاه ال A + +340 +00:24:29,680 --> 00:24:34,940 +ليتبعته؟ يعني هيك الصح ولا .. الزاوية سفير، bravo + +341 +00:24:34,940 --> 00:24:42,720 +عليكم واضحة؟ طيب، طب و هذا؟اتجاهها هيك و لا ده؟ + +342 +00:24:42,720 --> 00:24:49,340 +180 خلّيها طبعا لأ قصان الـ01 قصان الـ180 ثالث + +343 +00:24:49,340 --> 00:24:54,080 +واحد طب نطلع على هذا برا عليكم تسعين و كده قصان + +344 +00:24:54,080 --> 00:25:01,320 +التسعين إذا التالت إيش بتصير فيه تكامل؟ روح إيش + +345 +00:25:01,320 --> 00:25:08,660 +اللي روحوا؟ قصان قصان التسعين طب الرابعكيف ايه؟ لأ + +346 +00:25:08,660 --> 00:25:13,720 +أسفل، كدهش الزاوية؟ تسيين، لأن هذا روح، صحيح أو + +347 +00:25:13,720 --> 00:25:17,580 +لا؟ نجي للخامس اللي على اللوح، شايفينه؟ كيف + +348 +00:25:17,580 --> 00:25:25,320 +اتجاهه؟ لدوة، يعني هيك، كدهش الزاوية، برضه روح، + +349 +00:25:25,320 --> 00:25:32,120 +طيب، و هذا؟ عليكم يعني هيك، برضه تسيين، إذا برضه + +350 +00:25:32,120 --> 00:25:39,040 +هدول روحوا، أكمت كام مرضاه؟2 هو عدنان يطول عصابيه + +351 +00:25:39,040 --> 00:25:44,770 +نتيجة Zeroتمام؟ العملية بتير سهلة بيقولني بعد ما + +352 +00:25:44,770 --> 00:25:47,990 +انا بحكي الكلمتين اللي بتاوي حاكيناها بيقول the + +353 +00:25:47,990 --> 00:25:51,430 +flux through the unnumbered phases اللي هم ال + +354 +00:25:51,430 --> 00:25:54,190 +fourth والباك تمام؟ اللي هو الخمس .. اللي .. اللي + +355 +00:25:54,190 --> 00:25:58,470 +خمينية and three and four is zero ليش؟ because E + +356 +00:25:58,470 --> 00:26:01,410 +and DA are perpendicular لإن هم متعامدات الزائد و + +357 +00:26:01,410 --> 00:26:04,250 +تسعين درجة مظبوط ولا .. اذا بيقولني بل عندك + +358 +00:26:04,250 --> 00:26:08,830 +هاتينين هدول و بيقولني هنا not the angle between E + +359 +00:26:08,830 --> 00:26:16,100 +and DA is zerowhile the angle between E and DE2 + +360 +00:26:16,100 --> 00:26:22,980 +180 درجة إذا برجع بقول imply that E dot EDA كسن + +361 +00:26:22,980 --> 00:26:29,100 +صفر زي EDA2 كسن 180 E dot EA minus E في A وكم + +362 +00:26:29,100 --> 00:26:32,920 +جواب؟ Zero إذا طلع الجواب Zero تأكيد القعدة اللي + +363 +00:26:32,920 --> 00:26:36,780 +حاكنها إذا عدد خطوط المجال الداخل بالساوية عدد + +364 +00:26:36,780 --> 00:26:41,660 +خطوط المجال الخارجة إذا مافيش flux إذا السطح مغلق + +365 +00:26:42,310 --> 00:26:44,910 +كمان برد يعود اجول لازم يكون السطح مغلق اذا السطح + +366 +00:26:44,910 --> 00:26:47,550 +مفتوح حد القاعدة مش موجودة اصلا لان البراد تدخل و + +367 +00:26:47,550 --> 00:26:52,290 +خارج اصلا تمام في اي استفسار شباب كيف نحسب ال flux + +368 +00:26:52,290 --> 00:27:01,480 +ال flux هو E ضد دي Aهي قانونها E.DA كما و في + +369 +00:27:01,480 --> 00:27:04,940 +اندقاء ده بقدر استخدمها for closed surfaces إذا + +370 +00:27:04,940 --> 00:27:08,320 +كان the number of electric field lines entering + +371 +00:27:08,320 --> 00:27:12,000 +equal the number of electric field lines leaving + +372 +00:27:12,000 --> 00:27:15,780 +the same surface are equal إذا ال flux بيكون zero + +373 +00:27:24,860 --> 00:27:31,120 +أكيد؟ بسيطة احنا مش بعاد كلها + +374 +00:27:31,120 --> 00:27:36,620 +سطري و مرسومة رسمة و حلوة و بخليك تعدها عد كام خط + +375 +00:27:36,620 --> 00:27:43,780 +خارج و كام خط داخل يلا عد شو هم التمانية؟ اه طيب + +376 +00:27:43,780 --> 00:27:48,040 +هي كله لبسها ميه فانا ماله كلهم التمانية فرجال + +377 +00:27:48,040 --> 00:27:52,920 +تانيه كده؟ في واحد منهم دخل من مين دخل؟وقتش يخترق + +378 +00:27:52,920 --> 00:27:56,140 +ودخل .. ولم يبحثش فيه اصلا .. اه لأنه فيه ساحرة + +379 +00:27:56,140 --> 00:28:00,520 +جوا .. لأنه انخلق من جوا .. مصدر جوا .. مصدره جوا + +380 +00:28:00,520 --> 00:28:03,340 +.. انخلق من جوا .. ميجاين و مارا داخل و عاد خرج .. + +381 +00:28:03,340 --> 00:28:07,760 +هو طلع من جوا .. وبالتالي فيه صفير يخرج ..مادخلش + +382 +00:28:07,760 --> 00:28:16,640 +اصلا اش بيكون كله داخل بيكون الصفر طبعا بيكون كل + +383 +00:28:16,640 --> 00:28:21,680 +المجال داخل مش خارج بيكون بس بيكون فت سالب بيكون + +384 +00:28:21,680 --> 00:28:26,560 +زي 180 درجة لو كان اذا هنا كلهم خارجين وكتف واحد + +385 +00:28:26,560 --> 00:28:32,920 +منهم داخل تمام نرجع لموضوعنا + +386 +00:28:37,320 --> 00:28:41,820 +Gauss is law هجي تنجي بقانون Gauss قانون Gauss او + +387 +00:28:41,820 --> 00:28:46,020 +Gauss هو بتقعد بتطلع الفيد و بسمع قال في شغلة حلوة + +388 +00:28:46,020 --> 00:28:51,960 +صوت موجودة حكى انه في شحنة جوا ال flux موجود فش + +389 +00:28:51,960 --> 00:28:55,560 +شحنة جوا فش flux مش هيك اتفقنا في الكيوب في شحنة + +390 +00:28:55,560 --> 00:28:59,070 +جوا شبابفيش في المثال الأول فيه شحنة و لا كانش فيه + +391 +00:28:59,070 --> 00:29:03,130 +key لما كان فيه شحنة لجأ فيه flux لما ما لجأش فيه + +392 +00:29:03,130 --> 00:29:06,230 +شحنة قال ليه مافيه flux قال إذا ال flux بيعتمد على + +393 +00:29:06,230 --> 00:29:10,010 +إيش على الشحنات اللي جوا صح ولا لأ هاي قانون جاوس + +394 +00:29:10,010 --> 00:29:14,930 +بيقول يال ال flux يتناسب مع نقدار الشحنات اللي جوا + +395 +00:29:14,930 --> 00:29:19,290 +ل closed surface إذا إيش بيقول قانون جاوس بيقول + +396 +00:29:19,290 --> 00:29:23,370 +the electric flux through any closed surface طبعا + +397 +00:29:23,370 --> 00:29:28,500 +برضه شرط يكون surface closedis equal to the netted + +398 +00:29:28,500 --> 00:29:33,300 +charge inside that surface divided by ε0 هاي اللي + +399 +00:29:33,300 --> 00:29:38,880 +جابه قال هو المفروض الفلكس يتناسب مع Q جوا صح ولا + +400 +00:29:38,880 --> 00:29:43,560 +لأ؟ هذه مبتقية ده ركاب يتحولها يكون فيها مساواة + +401 +00:29:43,560 --> 00:29:47,740 +بتقع ثابت، مقبض؟ ده جا ثابت إيش بيساوي؟ 1 على ε0 + +402 +00:29:49,910 --> 00:29:52,870 +تذكرين الفلكس مين الكورة جديد كده؟ كيو على أبسلناط + +403 +00:29:52,870 --> 00:29:56,350 +ولا لا؟ طبقه في المثال التابع الكورة واحد قالك + +404 +00:29:56,350 --> 00:29:59,850 +اوجد الفلكس بقوله في كيو واحدة هي كيو على أبسلناط + +405 +00:29:59,850 --> 00:30:02,650 +طلع الجواب طب ميجينا الكيو؟ بدي احله على قانون + +406 +00:30:02,650 --> 00:30:06,250 +جاوس الكيو بسطح مغلق او بسطح مغلق؟ بسطح مغلق في + +407 +00:30:06,250 --> 00:30:10,710 +جوا كيو؟ جديش الفلكس؟ صفر خلص الجواب لذا لا بدي + +408 +00:30:10,710 --> 00:30:14,870 +اجيب الست أوجه ولا حاجة ما زال السطح مغلق صار مدور + +409 +00:30:14,870 --> 00:30:19,710 +على الشحنات اللي جواإذا الشحنات جوا بحسبها مفيش + +410 +00:30:19,710 --> 00:30:23,910 +شيء خلاص مغلب عليك ليش Zero الجواب تمام لما كنت + +411 +00:30:23,910 --> 00:30:29,170 +مرة تجيب أسئلة أقول في عندك كرة كرة وديكم نسقطها + +412 +00:30:29,170 --> 00:30:36,490 +أربعة متر و أقولك هنا في شحنة Q وهذه ستة متروأقول + +413 +00:30:36,490 --> 00:30:39,090 +للشباب إذا ما كنتوا عارفين ان ال quiz كانت على + +414 +00:30:39,090 --> 00:30:42,470 +اللوحة اقول للشباب هي quiz يالا حلو ايش عمره + +415 +00:30:42,470 --> 00:30:45,810 +الشباب خمس دقايق عشر دقايق مش راضي يخلص السؤال + +416 +00:30:45,810 --> 00:30:50,570 +الشباب خلص و هم بيحسبوا و ليش بتجيبونه بقص ان ال + +417 +00:30:50,570 --> 00:30:55,170 +flux بالساعة سفر على أبسل انه ماتجدش جواب خلاص هذا + +418 +00:30:55,170 --> 00:31:00,290 +هو هاي جواب هم ايش راح يسويوا قالوا والله بدي ايه + +419 +00:31:00,290 --> 00:31:04,070 +هنا راح يحسبوا ايه طب كيف تحسب ايه هل هنا و هنا و + +420 +00:31:04,070 --> 00:31:09,220 +هنا و هنا واحدلأ في هذه الحالة يحسب ايه ويطلق ال + +421 +00:31:09,220 --> 00:31:14,560 +flux من القانون هذا تاعة مش هيعرض طيب القانون ده + +422 +00:31:14,560 --> 00:31:19,660 +ماشي أخدته عشان تطلع جوا في شحنات ولا فيش شحنات + +423 +00:31:19,660 --> 00:31:23,780 +فيش شحنات حفظ صفر خلاص اتخافش اهالي تزعلش + +424 +00:31:27,730 --> 00:31:32,290 +خلاص برا مافيش شحنات مافيش شحنات اذا مافيش flux + +425 +00:31:32,290 --> 00:31:37,390 +هذا قانون جاوس .. هذا قانون جاوس .. اذا the + +426 +00:31:37,390 --> 00:31:43,240 +electric flux through any closed surfaceis equal + +427 +00:31:43,240 --> 00:31:46,820 +to the net charge inside. إيه اسم net charge؟ لو + +428 +00:31:46,820 --> 00:31:50,280 +كان عندك شحنتين جوا، بدك إياهم، كنتين، مازال جوا، + +429 +00:31:50,280 --> 00:31:52,820 +بدك تحسبهم، لو موجة بو سالب، يتأجمحوا موجة بو + +430 +00:31:52,820 --> 00:31:55,060 +سالب، مش absolute values، يعني لو كان عندك شحنة + +431 +00:31:55,060 --> 00:31:58,000 +موجة بو شحنة سالب، يبقى سبب وبعد جوا، بده سفر، لإن + +432 +00:31:58,000 --> 00:32:02,780 +ممكن نت charge زيرو، تمام، يعني هي القانوني. Phi + +433 +00:32:02,780 --> 00:32:06,520 +بتساوي qn على epsilon نقطة، دي أنا عارفه من أول، + +434 +00:32:06,520 --> 00:32:09,900 +qn على epsilon نقطة، لما طلع جوز هيك، قال والله دي + +435 +00:32:09,900 --> 00:32:15,590 +كان قانون حلو،لو اقدرت احسب هذه ايه الشطر الاول + +436 +00:32:15,590 --> 00:32:18,150 +ايش كان مقلوب مني اجيب شديد المجال ولا لأ كان + +437 +00:32:18,150 --> 00:32:20,390 +مقلوب ان اجيب شديد المجال جالس ان عندك قانون حلو + +438 +00:32:20,390 --> 00:32:24,790 +صار جيم هذه هيك صار عندك قانون جيد ممكن من هذه + +439 +00:32:24,790 --> 00:32:28,970 +المعادلة تجيب ايه ولا مش ممكن ممكن بس الصعوبة وين + +440 +00:32:28,970 --> 00:32:33,390 +انك التكامل تعرف تجيبه صح ولا لأ لأن التكامل هذا + +441 +00:32:33,390 --> 00:32:37,230 +مفعط اللي حضرها دايما هذه لأ اذا بدك تعرف تحل هذه + +442 +00:32:37,230 --> 00:32:42,990 +المشكلة تمامطبعا هنا بقولك q in denotes the charge + +443 +00:32:42,990 --> 00:32:47,850 +inside the service كلمة in اختصال ل inside يعني + +444 +00:32:47,850 --> 00:32:51,410 +الشوحنات اللي برا بدكم إياها بدّيش إياها بس ال + +445 +00:32:51,410 --> 00:32:55,170 +inside and the circle إذا أنتوا شايفين هنا مش + +446 +00:32:55,170 --> 00:33:00,490 +مبينة هنا في دويرةع التكامل طبعا هذا تكامل بتلاقوه + +447 +00:33:00,490 --> 00:33:03,830 +لو طلعتوا انتوا على ال word مش في ال equations .. + +448 +00:33:03,830 --> 00:33:06,490 +equations .. لما تطلعوا على التكاملات فيه تكامل + +449 +00:33:06,490 --> 00:33:09,630 +هيك و فيه تكامل هيك بتلاقوه شغلها زي هيك فهذه أيها + +450 +00:33:09,630 --> 00:33:12,450 +معنى في الرياضيات هذه بيقول ان التكامل على سطح + +451 +00:33:12,450 --> 00:33:16,050 +مغلق طبعا بالنسبالي اننا مش هنكامل تمام بس تذكر + +452 +00:33:16,050 --> 00:33:19,890 +انه عشان يذكرك ان قانون جاوس على سطح ماله مغلق + +453 +00:33:19,890 --> 00:33:23,850 +فبيقول ايه the circle in the integral sign + +454 +00:33:23,850 --> 00:33:26,450 +indicate that the integration is over a closed + +455 +00:33:26,450 --> 00:33:29,610 +surfaceبس عشان تتأكد وتعرف ان هذه الشكلة اللي + +456 +00:33:29,610 --> 00:33:33,770 +موجودة مش خطأ مطبعي لأ لها معنى تمام؟ وهذا تكامل + +457 +00:33:33,770 --> 00:33:39,990 +معروف في الرياضياتبقول زي ما احنا حاطين .. بدنا + +458 +00:33:39,990 --> 00:33:42,570 +نشوف .. بقول let us verify .. هذه الـ B مش عارفة + +459 +00:33:42,570 --> 00:33:45,650 +منين جاها .. Gauss's law .. بدنا نشوف Gauss's law + +460 +00:33:45,650 --> 00:33:49,350 +كلامه صح ولا لا .. بقول ال flux بيعتمد على ال Q .. + +461 +00:33:49,350 --> 00:33:53,030 +يعني الشكل كبر ولا صغير بيبقى ليه فارق معايا .. صح + +462 +00:33:53,030 --> 00:33:55,770 +ولا لا .. بقول let us verify Gauss's law by + +463 +00:33:55,770 --> 00:33:58,030 +considering a positive point in charge Q + +464 +00:33:58,030 --> 00:34:01,890 +surrounded by two surfaces .. بدنا نشوف احنا شباب + +465 +00:34:01,890 --> 00:34:06,950 +او حوتها بسطحين ..سطح حلو بعرفه كره و سطح كره أوجه + +466 +00:34:06,950 --> 00:34:10,170 +اروح اضعجها و احط السطح و بتجيب ال facts على + +467 +00:34:10,170 --> 00:34:13,650 +السطحين by two closed surfaces S1 is spherical + +468 +00:34:13,650 --> 00:34:19,450 +where is S2 is irregular امتعجة هذا هي جاهزين S1؟ + +469 +00:34:19,450 --> 00:34:25,670 +why S2؟ S2 امتعجة جاب المعنى كل حاجة اكم خط اخترق + +470 +00:34:25,670 --> 00:34:30,810 +S1 الحلو تمانية + +471 +00:34:30,810 --> 00:34:35,540 +اكم خط اخترق التاني لعوج8 اذا انا بتوقع تنين انه + +472 +00:34:35,540 --> 00:34:40,140 +نفس ال flux ولا لأ نفس ال flux اذا صح الكلام انه + +473 +00:34:40,140 --> 00:34:45,040 +مانهاش جاوة بالشكل فبقول لي columns law tells us + +474 +00:34:45,040 --> 00:34:48,000 +that the magnitude of the electric field is + +475 +00:34:48,000 --> 00:34:52,600 +constant anywhere on the spherical surface and + +476 +00:34:52,600 --> 00:34:55,940 +given as هو مركز على أسواح الشباب أسواح القرى + +477 +00:34:55,940 --> 00:34:59,420 +واتفقنا انه ايه بتكون ثابتة عليه صح ولا لأ حلو + +478 +00:35:02,260 --> 00:35:06,740 +بما أن المجال باتجاه أصفر أختار بالنسبة للـ S1 + +479 +00:35:06,740 --> 00:35:12,560 +نستطيع أن نتعامل الهواء من S1 بمعنى Phi بسوء E Dot + +480 +00:35:12,560 --> 00:35:17,760 +دي إيه بما أن E ثابتة وDot Product Zero إذا طلعت + +481 +00:35:17,760 --> 00:35:22,110 +فادة جواب وعملناها وطلعتQ على ي نوت على أساس ان + +482 +00:35:22,110 --> 00:35:26,530 +كده بيسوء واحد على أربع by ي نوت بتوع منها تقريبا + +483 +00:35:26,530 --> 00:35:29,790 +صح ولا لأ الانش بيقوللي بيقوللي the figure shows + +484 +00:35:29,790 --> 00:35:34,550 +that the number of field lines crossing S1 is the + +485 +00:35:34,550 --> 00:35:38,170 +same as that lines crossing S2 ولا لأ الانش معناته + +486 +00:35:38,170 --> 00:35:40,090 +بيقوللي is that if the fluxes through the two + +487 +00:35:40,090 --> 00:35:44,950 +surfaces are equal and independent of their shapes + +488 +00:35:45,860 --> 00:35:50,780 +مالوش دعوة بالشكل زي مالوش دعوة بكبر أو صغر السطح، + +489 +00:35:50,780 --> 00:35:54,100 +إذا مالهاش دعوة بالسطح، هجيت لو جمت هذه الكورة + +490 +00:35:54,100 --> 00:35:57,820 +العوجة و حطيت محلها أسطوع، ماجدتش الـFlex بتطلع، + +491 +00:35:57,820 --> 00:36:01,860 +نفس القيمة لأن أعدد خطوط المجال نفسها، إذا أنا صار + +492 +00:36:01,860 --> 00:36:04,600 +الـFlex بيعتمد على الشحنات اللي جوا، مالهاش دعوة + +493 +00:36:04,600 --> 00:36:10,620 +بشكل السطح، وضع شباب تمت، + +494 +00:36:10,620 --> 00:36:15,340 +طب قولي لو كانت الكورةبرا زي هيك جديد فتتوقعوا + +495 +00:36:15,340 --> 00:36:20,100 +الفلكس يكون على سطح الأصفر سفر لإن في شحنات جوا طب + +496 +00:36:20,100 --> 00:36:24,560 +نيجي نوصل خطوط مجال هى وصمة خطوط مجال طبعا واحد + +497 +00:36:24,560 --> 00:36:27,040 +يقول قبل هو الخطوط في المجال هنا طبعا في خط مجال + +498 +00:36:27,040 --> 00:36:31,970 +هيك في خط مجال هيك صح؟أصفر؟ مابيش دعاة فيهم، بيجي + +499 +00:36:31,970 --> 00:36:35,890 +اللي بقتقوا الأصفر، في واحد منهم دخل وحرز وظل جوا، + +500 +00:36:35,890 --> 00:36:40,330 +لازم يطلع، إذا لو كانت الشحنة برا، الخط اللي داخل + +501 +00:36:40,330 --> 00:36:43,170 +لازم يخرج، عشان كده ال electric flux لازم يكون + +502 +00:36:43,170 --> 00:36:46,550 +جداش؟ Zero، وهذا منطقي، إذا لما يكون مافيش جوا + +503 +00:36:46,550 --> 00:36:50,910 +شحنات، اتفقنا جداش ال flux؟ Zero، برضه، لأن Q in + +504 +00:36:50,910 --> 00:36:54,070 +Zero، لأن عضل السطح مغلق، وبالتالي قانون جاوس + +505 +00:36:54,070 --> 00:36:59,470 +ينطبق، طيب، زي ما احنا اتفقنا قانون جاوس صار عامل + +506 +00:36:59,470 --> 00:36:59,810 +هيك، + +507 +00:37:06,110 --> 00:37:10,850 +هي قانون جاوس هجد اما هو بيقولي احسب ال flux او + +508 +00:37:10,850 --> 00:37:14,190 +بيقولي احسب المجال الكهربائي اذا بدي احسب ال flux + +509 +00:37:14,190 --> 00:37:17,390 +باتوا اما اجيب هذا المكان او هذا المكان صح ولا لأ + +510 +00:37:17,390 --> 00:37:20,530 +اذا بدي المجال الكهربائي هذا بلزمنيش انا بلزمني + +511 +00:37:20,530 --> 00:37:24,030 +هذا و هذا لانه بدي ايه بيقولي ايش فجد قانون جاوس + +512 +00:37:24,030 --> 00:37:29,250 +عشان احسب ال fluxعلميا وفيزيائيا الفلكس مالوش قيمة + +513 +00:37:29,250 --> 00:37:34,070 +كتير ذات قيمة اللي له قيمة شدة المجال الكهربائي + +514 +00:37:34,070 --> 00:37:37,330 +إذا بيقولي the practical utility of gauss's law + +515 +00:37:37,330 --> 00:37:41,530 +وين أنا بستفيد من gauss's law؟ إيش هيديته العملية؟ + +516 +00:37:41,750 --> 00:37:46,370 +Lies largely in providing a smart way هو إنه + +517 +00:37:46,370 --> 00:37:51,170 +بيديني smart way طريقة كتير سلسة و ذكية to + +518 +00:37:51,170 --> 00:37:54,890 +evaluate the electric field for a charge + +519 +00:37:54,890 --> 00:37:58,370 +distribution. لذن هو بيخليني أحسب شدة المجال وهي + +520 +00:37:58,370 --> 00:38:01,970 +فادة قانون جاوز الشباب إنه بيخليني أحسب شدة المجال + +521 +00:38:01,970 --> 00:38:04,490 +بديش أنا أجيب ال flux انا ال flux بجيبه عشان بس + +522 +00:38:04,490 --> 00:38:08,070 +أشوف الطالب فاهم الموضوع ولا لا بس في الشغل + +523 +00:38:08,070 --> 00:38:12,670 +العمليةفاجت قانون gauss انه بيعطيني شدة المجال + +524 +00:38:12,670 --> 00:38:17,570 +الكهربائي طيب كيف بدي أحسبها for this way to be as + +525 +00:38:17,570 --> 00:38:20,650 +easy as possible كيف بدي أحسبها بقولك عشان تكون + +526 +00:38:20,650 --> 00:38:23,310 +عملية سهلة لان وين الصعوبة بقول التكامل هذا ده + +527 +00:38:23,310 --> 00:38:27,030 +ببارك اشهر من التكامل لان التكامل هذا صعب سألني + +528 +00:38:27,030 --> 00:38:30,150 +عماد كيف بدي أجيب علاقة من اي و دي اي صح ولا لا + +529 +00:38:30,150 --> 00:38:34,050 +عشان أكامل فالعملية مش سهلة بدي علاقات وشغلات + +530 +00:38:34,050 --> 00:38:39,330 +كتيرةبقول العملية سهلة for this way to be as easy + +531 +00:38:39,330 --> 00:38:42,330 +as possible we must be able to choose a + +532 +00:38:42,330 --> 00:38:45,810 +hypothetical a closed surface سموه Gaussian + +533 +00:38:45,810 --> 00:38:51,630 +surface Gauss ايش بقول بقول على أي سطح مغلق لأي + +534 +00:38:51,630 --> 00:38:55,070 +سطح مغلق اي سطح مغلق الفكس اللي سوى qn على ε نوت + +535 +00:38:55,070 --> 00:38:58,990 +مش هي قانونه مثلا اي سطح مغلق طب هو انا يضرني احد + +536 +00:38:58,990 --> 00:39:02,350 +على سطح معينلأ، قالت، طب إذا أنا أختار أنت سطح + +537 +00:39:02,350 --> 00:39:07,890 +حلو، يمكنك تعمل التكامل بسهولة، ما زال جالك أي سطح + +538 +00:39:07,890 --> 00:39:12,410 +مغلق، إدّاك أنت الحرية في اختيار السطح، إذا أنا كم + +539 +00:39:12,410 --> 00:39:18,190 +بدي أنا أوظف هذه الحرية، أن يخلي شغلي سهل، صحيح + +540 +00:39:18,190 --> 00:39:21,790 +ولا لأ؟ تمام، هذا بيقولك إذا بقيت تختار أنت سطح + +541 +00:39:21,790 --> 00:39:24,870 +مغلق، أنت بقيت تختاره، والسطح المغلق بيكون وهمي + +542 +00:39:24,870 --> 00:39:28,770 +شباب، سموه Gaussian Surface، السطح Gauss، عشان + +543 +00:39:28,770 --> 00:39:33,050 +قانون Gauss،متسمى hypothetical closed surface صفح + +544 +00:39:33,050 --> 00:39:37,930 +وهمي يسمى Gaussian Surface Such that the electric + +545 +00:39:37,930 --> 00:39:41,330 +field over its surface is constant إذا بيتختاروا + +546 +00:39:41,330 --> 00:39:44,310 +بحيث إن المجال الكهربا يكون ثابت عليه ليش؟ بقولك + +547 +00:39:44,310 --> 00:39:49,240 +عشان تطلع حدا برا مش أنا صعبتي في التكامل؟لما هذا + +548 +00:39:49,240 --> 00:39:52,620 +تقدر تطلع برا، بدك علاقة بين E وA، تفضل أنك بدك + +549 +00:39:52,620 --> 00:39:55,640 +علاقة بين E وA، بس بشرط أن يكون .. وكده يبقى تطلع + +550 +00:39:55,640 --> 00:39:59,980 +برا، لما يكون ثابت، إذا اختار السطح، الـE بيكون + +551 +00:39:59,980 --> 00:40:05,280 +ثابت عليهإذا أنا هالجيت القانون بيقوللي اه سطح + +552 +00:40:05,280 --> 00:40:09,240 +مغلق الحرية هذه بدي اوظفها ان انا اختار السطح + +553 +00:40:09,240 --> 00:40:15,080 +المغلق حقق ان شرط واحد انه يكون constant عليه بوضع + +554 +00:40:15,080 --> 00:40:18,360 +شباب هاي اللي بديها اكتر من كده مابديهش إذا الهدف + +555 +00:40:18,360 --> 00:40:22,420 +ثابت بقدر أحل لإنه qn بدي يبقى بالروضة مابقوللي qn + +556 +00:40:22,420 --> 00:40:25,660 +جديش مابقوللي شوف يوش عناد فيه ولا لأ فشي بيقولك + +557 +00:40:25,660 --> 00:40:28,720 +فشي فيه بيقولك في كنتين وتلاتة وغير قامعة بتهش + +558 +00:40:28,720 --> 00:40:32,970 +شطارة صح ولا لألو اخترته ماتبتعرف مساحته سهلة و + +559 +00:40:32,970 --> 00:40:36,370 +epsilon نقطة كلها عارفينها ساعتها بجيب ايه صح ولا + +560 +00:40:36,370 --> 00:40:39,830 +لأ because العملية صارت سهلة بس يقشنوا الصعوبة + +561 +00:40:39,830 --> 00:40:44,930 +بيقولي طب هذا دايما الشغلة ممكنة بيقولي this can't + +562 +00:40:44,930 --> 00:40:49,110 +be attained وهذه الشغلة فقط ممكن تحصل عليها if the + +563 +00:40:49,110 --> 00:40:53,310 +following remarks are satisfied وهذه مابتتحصلش مع + +564 +00:40:53,310 --> 00:40:57,350 +الأسف دائما الشيء مابتتحصلش انك تختار سطح ايه يكون + +565 +00:40:57,350 --> 00:41:01,830 +ثابت عليهإيه يكون ثابت على سطح أنت تختاره أي إن + +566 +00:41:01,830 --> 00:41:06,590 +كان مش دايما بيكون ممكن إذا في عندك قيود في إنك + +567 +00:41:06,590 --> 00:41:09,570 +كيف تحل الأسئلة وهذه أريح كل ما قيتني كل ما أنت + +568 +00:41:09,570 --> 00:41:13,610 +أسئلتك اتقيدت لأنه إذا أنت شطحت كتير قانون جاوس لا + +569 +00:41:13,610 --> 00:41:18,070 +ينطبق بتريحني ماقدرش أحله فبالتالي في عندي قيود و + +570 +00:41:18,070 --> 00:41:22,370 +أكتش قانون جاوس عشان أحسب في شدة المجال ممكن أطبق + +571 +00:41:22,370 --> 00:41:28,570 +عليهبيقوللي لازم هذه الشروط تكون صحيحة أول شرط + +572 +00:41:28,570 --> 00:41:32,750 +بيقوللي التالي عشان انت تختار بيقوللي the charge + +573 +00:41:32,750 --> 00:41:36,730 +distribution must have a high degree of symmetry + +574 +00:41:36,730 --> 00:41:41,270 +لازم يكون في عندك تماثل عالي طب هذا التماثل وين + +575 +00:41:41,270 --> 00:41:45,740 +موجود؟ ليه مش موجود إلا في تلت حلقات؟بس الشكل + +576 +00:41:45,740 --> 00:41:48,160 +القرأوى فيها أحلى من كورة شباب من وين ما طلعت + +577 +00:41:48,160 --> 00:41:52,060 +عليها نفس الشكل ولا لأ إذا فيه symmetry عالي إذا + +578 +00:41:52,060 --> 00:41:56,180 +الأشكال القرأوية كلها زغرت ولا كبرت و بعدين + +579 +00:41:56,180 --> 00:41:59,100 +cylindrical with infinite length كل ال cylinders + +580 +00:41:59,100 --> 00:42:04,020 +حلو بس مشكلته واحدة أنه عند أطرافهلأن لو كنت ماشي + +581 +00:42:04,020 --> 00:42:07,660 +هيك، زي بعض، عند الأطراف مشكلة، بقولّه، سهل، وإنت + +582 +00:42:07,660 --> 00:42:12,120 +مالبينك الأطراف، قولّه، إنت الأطراف فوق، واحد يروح + +583 +00:42:12,120 --> 00:42:14,960 +على الـInfinity فوق، والتاني على الـInfinity تحت، + +584 +00:42:14,960 --> 00:42:18,720 +بطاطس وفوق، إذا بيقولّي الأشكال الصوانية بشرط + +585 +00:42:18,720 --> 00:42:22,640 +يكونوا طوال جدا، شباب، الشكل الصواني ليش عند + +586 +00:42:22,640 --> 00:42:26,640 +أطرافه مش هى؟ هى الشكل الصواني، مش الخط الصواني؟ + +587 +00:42:26,640 --> 00:42:29,920 +خلّيني أرسم خطوات مجال أنا وإياكم، من هنا في خط + +588 +00:42:29,920 --> 00:42:33,970 +مجال ولا لأ؟ومن هنا فى خط مجال صح طب عن فى هنا خط + +589 +00:42:33,970 --> 00:42:40,010 +مجال بالديشية طب ومن هنا ومن هنا صح ولا هدول خطوط + +590 +00:42:40,010 --> 00:42:44,150 +متوازية ومش متوازية يعنى ايه ماله uniform uniform + +591 +00:42:44,150 --> 00:42:47,230 +طب تعالوا لعند هنا يلا نوصل خط مجالي عن الطرف هذا + +592 +00:42:47,230 --> 00:42:53,070 +وهى خط وهى خط وهى خط وهى خط وهى خط صح؟متوازية + +593 +00:42:53,070 --> 00:42:56,550 +هدول؟ إذا هنا فيه بشاحة طب بصيطة البشاحة هذه + +594 +00:42:56,550 --> 00:43:00,570 +مديشية أنا مش شايفها هذه في المنا نهاية وهذه في + +595 +00:43:00,570 --> 00:43:02,990 +المنا نهاية إذا أنا مش شايفها إيش شايف؟ خطوط + +596 +00:43:02,990 --> 00:43:07,150 +متوازية easy and uniform تمام؟ إذا الخطوط أو + +597 +00:43:07,150 --> 00:43:13,050 +الأشكال الاسطوانية شرط هتكون طويلة جدا with + +598 +00:43:13,050 --> 00:43:19,130 +infinite links أطواع حقائق كبيرة في شغل تانية نرجع + +599 +00:43:19,130 --> 00:43:24,190 +للأشكال المسطحة وراجعورقة من ورقة برضه مافيش أحلى + +600 +00:43:24,190 --> 00:43:28,290 +منها بس بعيدة عن الحوارفة ليش الورقة هنا شباب لو + +601 +00:43:28,290 --> 00:43:32,030 +انت هنا من هنا و لا من هنا مافيش مشكلة انت هنا + +602 +00:43:32,030 --> 00:43:35,290 +تصير عند عالمك مشكلة ليش بنوصف خطوط مجالة على + +603 +00:43:35,290 --> 00:43:39,750 +اللحن شباب مشعون خط مجال اللي بيقول عليكم طب من + +604 +00:43:39,750 --> 00:43:43,410 +هنا برضه خط مجال اللي بيقول عليكم طب من هنا و هكذا + +605 +00:43:43,410 --> 00:43:46,770 +طب من هنا هيك كل خطوط متوازية طب تشوفوا أن الطرف + +606 +00:43:46,770 --> 00:43:49,890 +هذا بصير مسلجة من هنا هيك و من هنا هيك و رايحة هيك + +607 +00:43:49,890 --> 00:43:53,080 +و رايحة هيكاذا تقرأت خطوط متوازية ايش بتحلها + +608 +00:43:53,080 --> 00:43:56,340 +ويقولها ده كبير اعتبره كبير انت مش شايفه ذاكرين + +609 +00:43:56,340 --> 00:43:59,820 +يقولنا النملة وعلى رعر اللي هو الفيل خلاص الفيل + +610 +00:43:59,820 --> 00:44:04,340 +بالنسبة للنملة شايفة حدوده مش شايفة حدوده اذا + +611 +00:44:04,340 --> 00:44:08,520 +بالنسبة لها تعتبره انه لو انه مشحون الفيل خطوط + +612 +00:44:08,520 --> 00:44:11,120 +متوازية تطلع على النملة هي خطوط متوازية طالعة فوق + +613 +00:44:11,500 --> 00:44:15,700 +إذن هو Uniform بس ابعد عن الأطراف تمام؟ إذا أنا + +614 +00:44:15,700 --> 00:44:18,360 +عندي الأشكال الوحيدة اللي بينطبق عليها قانون Gauss + +615 +00:44:18,360 --> 00:44:22,220 +عشان أحسب شدة المجال هي الأشكال التلاتة الوحيدة + +616 +00:44:22,220 --> 00:44:26,420 +Carly بغض نظره عن حجمه cylindrical with infinite + +617 +00:44:26,420 --> 00:44:32,160 +length and plain سطح with infinite extents أبعاده + +618 +00:44:32,160 --> 00:44:37,070 +كبيرةinfinite أبعاده بعيدة تيل عني موضح يا شباب؟ + +619 +00:44:37,070 --> 00:44:40,630 +إذا لو قال لي أحسب شدة المجال الكهربائي باستخدام + +620 +00:44:40,630 --> 00:44:43,010 +قانون gas أول حاجة بتطلع عليها بتطلع على الشكل + +621 +00:44:43,860 --> 00:44:46,860 +المشحون إذا الشكل المشحون مش واحد من التلاتة هدول + +622 +00:44:46,860 --> 00:44:49,900 +بقول قانون جوص من أول بيلاد الطبق ماينفعش أطبقه + +623 +00:44:49,900 --> 00:44:54,000 +لإنه ممكن أختار سطح مغلق يكون his consent عليه + +624 +00:44:54,000 --> 00:44:57,260 +وقعدنا واحدة واحدة و بيشوف إن هذا كلام صحيح ولا لأ + +625 +00:44:57,260 --> 00:45:01,180 +تمام هذه أول خطوة بدي أشوف الشكل اللي جالطبق عليه + +626 +00:45:01,180 --> 00:45:04,460 +قانون جوص ولا لأ بداية لإن هو بيقول أوجد شدة + +627 +00:45:04,460 --> 00:45:09,300 +المجالهيك على الهواء ولا بيقولك فيه شكل مشحون فيه + +628 +00:45:09,300 --> 00:45:12,300 +شكل مشحون وشكل مشحون بتطلع عليه هل واحد من التلاتة + +629 +00:45:12,300 --> 00:45:16,280 +هدول ولا لأ يعني مثلا ال rod زاكرينو ال rod كان + +630 +00:45:16,280 --> 00:45:19,920 +قصير مينفعش قانون جاس عليه إذا جالك infinite rod + +631 +00:45:19,920 --> 00:45:26,240 +مابقدر أتطبق عليه فهمتوا عليها ال ring بينفع ال + +632 +00:45:26,240 --> 00:45:34,380 +ring مش قسم السطح ال ring مش كورةلا ينطبق عليها + +633 +00:45:34,380 --> 00:45:40,740 +قانون جاوس هذه رنك مش كرة ال disk مش تحت شرط واحد + +634 +00:45:40,740 --> 00:45:45,560 +ان ال disk يكون كبير ذاكرينه لما جبناها طلعناها + +635 +00:45:45,560 --> 00:45:49,180 +اذا ال disk كبير بقول اه بطبق عليه قانون جاوس لكن + +636 +00:45:49,180 --> 00:45:52,380 +ال disk صغير بقوله لا قانون جاوس لا ينطبق فاهمين + +637 +00:45:52,380 --> 00:45:53,580 +شباب تمع + +638 +00:45:57,880 --> 00:46:03,360 +لأ مش مغلق انت بدك تختار سطح مغلق لأ السطح اللي + +639 +00:46:03,360 --> 00:46:09,120 +بده يكون مغلق مش الجسم المشهور هذا جسم مشهور انت + +640 +00:46:09,120 --> 00:46:12,040 +بده تجيب في بيت المجال تختار سطح اللي برضه تجيب + +641 +00:46:12,040 --> 00:46:18,140 +السطح اللي بده يكون مغلق فانت عليا؟ واحدة واحدة لأ + +642 +00:46:18,140 --> 00:46:22,080 +لأ واحدة واحدة شوية if you sit in a circus سطح + +643 +00:46:22,080 --> 00:46:26,210 +جاهز هذا اللي بده يكون مغلقالقانون الجاوسي يجب أن + +644 +00:46:26,210 --> 00:46:26,970 +يكون مرتبطًا بنفسه بشكل نفسه بشكل نفسه بشكل نفسه + +645 +00:46:26,970 --> 00:46:29,550 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +646 +00:46:29,550 --> 00:46:30,630 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +647 +00:46:30,630 --> 00:46:30,790 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +648 +00:46:30,790 --> 00:46:31,190 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +649 +00:46:31,190 --> 00:46:33,550 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +650 +00:46:33,550 --> 00:46:44,090 +بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه + +651 +00:46:44,090 --> 00:46:47,010 +بشكل + +652 +00:46:48,180 --> 00:46:51,220 +اختياري وهمي انت ممكن تختاره .. ممكن ممكن تختاره + +653 +00:46:51,220 --> 00:46:55,820 +شرطه ان يكون E constant مظبوط او لا عشان E يكون + +654 +00:46:55,820 --> 00:47:00,100 +constant بيكون لازم يكون الو نفس الشكل زي جسم + +655 +00:47:00,100 --> 00:47:04,720 +المشحون طب هو الجسم المشحون اكم نوع؟ الجسم المشحون + +656 +00:47:04,720 --> 00:47:09,920 +اكم نوع عندك؟ تلاتة؟ اذا معناته سطح جرس بيكون عندك + +657 +00:47:09,920 --> 00:47:14,560 +تلاتة انواع اذا الجسم المشحون كراوي سطح جرس ايش + +658 +00:47:14,560 --> 00:47:21,740 +بيكون؟ كرةإذا الجسم المسحون سلندر، إيش السطح + +659 +00:47:21,740 --> 00:47:26,420 +المقلق؟ سلندر أو سلندر مغلق أو مغلقة؟ تمام طب وإذا + +660 +00:47:26,420 --> 00:47:31,960 +plain؟ إيش أسوي؟ plain يعني ورجة ولا لأ؟ قللي إيش + +661 +00:47:31,960 --> 00:47:36,480 +الورجة دي جزء من إيش يا الورجة؟ حط لك عشان الورجة + +662 +00:47:36,480 --> 00:47:41,480 +تفوق، بعد إيه أصار؟أو متوازي مستطيلات الورقة مش + +663 +00:47:41,480 --> 00:47:44,700 +مغلقة لكن متوازي مستطيلات اذا السطح يبقى متوازي + +664 +00:47:44,700 --> 00:47:48,100 +مستطيلات طب هذي انت قلتلي ورقة واش عارفك انها ورقة + +665 +00:47:48,100 --> 00:47:52,280 +انت بتقولي كبيرة صح بتعرفي انها ورقة انت شايفها + +666 +00:47:52,280 --> 00:47:56,800 +انت شايف عدودها طب ممكن تكون this كلها مش ممكنممكن + +667 +00:47:56,800 --> 00:47:58,820 +تكون ديسك .. حطولك عشان الديسكات فوق بعدي .. إيش + +668 +00:47:58,820 --> 00:48:04,000 +شرط؟ رجعت الصوانة .. إذا انت .. ال .. ال .. ال .. + +669 +00:48:04,000 --> 00:48:07,320 +سطح جاسو بيكون إما كرة أو أسطوانة أو متوازن .. + +670 +00:48:07,320 --> 00:48:09,820 +متوازن مستطيلات أو أسطوانة .. طب ببتك منه متوازن + +671 +00:48:09,820 --> 00:48:12,280 +مستطيلات .. يتغلب علىك ليش؟ إذا في عندك بس شكلين + +672 +00:48:12,280 --> 00:48:15,880 +.. لأ كرة .. لأ متوازن مستطيلات .. ليش شردت من + +673 +00:48:15,880 --> 00:48:18,260 +متوازن مستطيلات؟ بقوله متوازن مستطيلات .. ده كان + +674 +00:48:18,260 --> 00:48:23,530 +سطح حلو .. و ليه الصوانة؟ طب مين أسألي؟الثالث، إذا + +675 +00:48:23,530 --> 00:48:27,050 +فانت كمان مستطيل ولا دائرة، فشوف دعوة فيه، بما أنه + +676 +00:48:27,050 --> 00:48:33,610 +الـplane ما انتش عارفه مستطيل ولا دائرة، لأنك انت + +677 +00:48:33,610 --> 00:48:36,330 +مش حاجة تشوف حدوده، مش حاجة تشوف حدوده، فاعتبره + +678 +00:48:36,330 --> 00:48:39,650 +disk. إذا أنا عندي سطح جارسه، بدي أختاره من يوم + +679 +00:48:39,650 --> 00:48:45,110 +مطالع، بس إما كرة أو استوارة، بس.هذا الشيء بيعمل + +680 +00:48:45,110 --> 00:48:49,130 +يبسهيل علينا يعني الشغل مش هانتوه انا اول عندي تلت + +681 +00:48:49,130 --> 00:48:52,710 +اشكال بتطبق عليهم بتطلع عليهم فيه؟ فيه مفيششي + +682 +00:48:52,710 --> 00:48:57,010 +مقدرش احل الشغل التالت بيختار صدح الشت صدح لا كرة + +683 +00:48:57,010 --> 00:49:00,870 +لا سوانة اذا الشكل الكراوي تساهمنا ايش بتكون + +684 +00:49:00,870 --> 00:49:04,770 +الصدحية اللي بيجيها تستخدموها؟ اذا كان سلندر او + +685 +00:49:04,770 --> 00:49:11,050 +بلي ارجل جيب سلندر عملية سيكلة طيب هاي تاني خطوة + +686 +00:49:11,050 --> 00:49:15,980 +اعملناهابقول لي the point at which E is to be + +687 +00:49:15,980 --> 00:49:18,760 +evaluated should lie on the Gaussian surface بقول + +688 +00:49:18,760 --> 00:49:21,420 +لي أنت بدك تحسب شدية المجال مش اتفقنا من السطر + +689 +00:49:21,420 --> 00:49:25,080 +الأول لما يقولك أوجه شدية المجال مش بتقوله وين مش + +690 +00:49:25,080 --> 00:49:28,460 +بتقوله وين إذا بيقولك وين طب و أنت دقطة بيقوللي + +691 +00:49:28,460 --> 00:49:30,200 +سطح جاوس اللي بدك تختاره لازم النقطة هاي تكون + +692 +00:49:30,200 --> 00:49:32,720 +واجعة عليه لأن من الصحيح أن أنت بدك تجيب شدية + +693 +00:49:32,720 --> 00:49:35,240 +المجال هنا و تبقى تعملني سطح جاوس هيك طب ما أنت هو + +694 +00:49:35,240 --> 00:49:38,100 +رايح أنت هنا بدك أنت إيه؟ ماتكش إيه هنا أنت بدك + +695 +00:49:38,100 --> 00:49:41,290 +إيه هنا إن السطح جاوس بيكون هيكلازم تكون النقطة + +696 +00:49:41,290 --> 00:49:45,210 +وين عليه و برضه هذا كله الشغلات نصح بظهر هنطبق + +697 +00:49:45,210 --> 00:49:48,370 +عليها و واحدة واحدة هنرجعلها the point at which E + +698 +00:49:48,370 --> 00:49:50,970 +is to be evaluated should lie on the Gaussian + +699 +00:49:50,970 --> 00:49:54,450 +surface سطح Gaussian اللي بدك تختاره بتكون عشوائي + +700 +00:49:54,450 --> 00:49:58,490 +بيكون نقطة عليه طب حينه بيقولي بعد هذا الكلام إيه + +701 +00:49:58,490 --> 00:50:02,030 +يشتغل بيقولي إذا كانت E is parallel to the surface + +702 +00:50:02,030 --> 00:50:05,470 +E is parallel to the surface و ال area عمودية جديش + +703 +00:50:05,470 --> 00:50:11,270 +الزرعي بصير تسعين إيش بتطلع التكامل؟إذا E موجودة + +704 +00:50:11,270 --> 00:50:15,490 +في الجسم أو إذا E موجودة في كل جسم أو إذا E موجودة + +705 +00:50:15,490 --> 00:50:15,770 +في كل جسم أو إذا E موجودة في كل جسم أو إذا E + +706 +00:50:15,770 --> 00:50:16,710 +موجودة في كل جسم أو إذا E موجودة في كل جسم أو إذا + +707 +00:50:16,710 --> 00:50:17,310 +E موجودة في كل جسم أو إذا E موجودة في كل جسم أو + +708 +00:50:17,310 --> 00:50:17,350 +إذا E موجودة في كل جسم أو إذا E موجودة في كل جسم + +709 +00:50:17,350 --> 00:50:17,450 +أو إذا E موجودة في كل جسم أو إذا E موجودة في كل + +710 +00:50:17,450 --> 00:50:17,450 +جسم أو إذا E موجودة في كل جسم أو إذا E موجودة في + +711 +00:50:17,450 --> 00:50:17,450 +كل جسم أو إذا E موجودة في كل جسم أو إذا E موجودة + +712 +00:50:17,450 --> 00:50:24,050 +في كل جسم أو إذا E موجودة في كل جسم أو إذا E + +713 +00:50:24,050 --> 00:50:30,080 +موجودة في كل جسم أو إذا E موجودة في كلAt every + +714 +00:50:30,080 --> 00:50:33,600 +point and since E is constant هو تنساش انه انت + +715 +00:50:33,600 --> 00:50:36,320 +اختارت السطح بحس انه E is constant عليه ولا لأ من + +716 +00:50:36,320 --> 00:50:42,220 +أول فE is constant اذا سلام دقان حلو E في E بتساوي + +717 +00:50:42,220 --> 00:50:47,260 +Qn على epsilon note صح تقدر تجيب E انجابة E هذي في + +718 +00:50:47,260 --> 00:50:53,800 +الآخر بتساويالـ Q in على E note طبعا هو دا دايما + +719 +00:50:53,800 --> 00:50:56,900 +بيقول تطبق قانون جاوس على شغل حلو و أنت بتعرفها + +720 +00:50:56,900 --> 00:51:00,040 +pointy charge ال pointy charge بتعرف تجيبها في + +721 +00:51:00,040 --> 00:51:04,660 +قانون غير قانون جاوس قانون إيش؟ جديش بيطلع الجواب + +722 +00:51:04,660 --> 00:51:09,420 +KQ على أرض ربية زيها قانون، بتشتغلها قانونية طريقة + +723 +00:51:09,420 --> 00:51:14,530 +قانون جاوسأه موجه من معيارات حالي بتشوف الشغل اللي + +724 +00:51:14,530 --> 00:51:16,990 +بعرف هطلع نفسي جواب ولا لأ وانت مين اللي هجد على + +725 +00:51:16,990 --> 00:51:20,310 +حكاية المغلق ومش المغلق تمام بيقول في هاي ال point + +726 +00:51:20,310 --> 00:51:24,610 +صح ولا لأ هجيت أول حاجة بتطلع على ال point هذه هل + +727 +00:51:24,610 --> 00:51:28,510 +هي أحد الأشكال التلاتة اللي مرت علينا ال point كرة + +728 +00:51:28,510 --> 00:51:33,920 +و لا مش كرة ليش ال point مش كرة و نص خطرة سفرما هي + +729 +00:51:33,920 --> 00:51:38,460 +كرة؟ بس كرة صغيرة صح أو لا؟ هي pointy شاش كرة إذا + +730 +00:51:38,460 --> 00:51:42,300 +هي أهم من أشكال صح فانتبق عليها قانون جاس كما + +731 +00:51:42,300 --> 00:51:47,220 +هيكيو بده شدة المجال عند النقطة هذه هاي المطلوب + +732 +00:51:47,220 --> 00:51:52,460 +تمام شباب كيف ندحل؟ طبعا هذه سؤال كتير هي سهل أول + +733 +00:51:52,460 --> 00:51:57,980 +حاجة الجسم المشهون الشوةالنقطة كراوية ولا مش + +734 +00:51:57,980 --> 00:52:02,080 +كراوية .. كراوية جالي كراوي او استواني طويل او + +735 +00:52:02,080 --> 00:52:07,060 +بلين كبير كراوي و كراوي جالي صغير او كبر تفرج طب + +736 +00:52:07,060 --> 00:52:12,320 +هذه point كرة صغيرة ينطبق عليها قانون جاوس شمرنا و + +737 +00:52:12,320 --> 00:52:15,960 +بنبدأ الجالي الخطوة التالية بدي اختار سطح جاوس + +738 +00:52:15,960 --> 00:52:21,920 +اختار سطح جاوس انا بدي اختار وهميلازم يكون كروي + +739 +00:52:21,920 --> 00:52:25,680 +لأن الشكل المشحونش هو كروي بكل سطح جاوس لازم + +740 +00:52:25,680 --> 00:52:28,560 +يكونوا نفس ال symmetry تبع الجسم المشعون تمام + +741 +00:52:28,560 --> 00:52:32,360 +بيقول solution since the charge distribution is + +742 +00:52:32,360 --> 00:52:36,800 +spherical عشان الجسم المشحون كروي we choose the + +743 +00:52:36,800 --> 00:52:41,800 +Gaussian surface as a sphere of radius a هي السطح + +744 +00:52:43,820 --> 00:52:46,580 +هيجيت مين النقطة؟ شايفين هوينها؟ +بينفع أختار سطح + +745 +00:52:46,580 --> 00:52:50,880 +أكبر من كده أو أصغر؟ لا، وإلا إذا كان أكبر أو أصغر + +746 +00:52:50,880 --> 00:52:54,120 +الشرط إنه بيتكون عليه بـbattle round شايفين أنا + +747 +00:52:54,120 --> 00:52:57,220 +ليش حاططه مجد؟ عشان أعرف إنه هذا وهمي أنا اللي + +748 +00:52:57,220 --> 00:53:01,860 +اختارته، خيالي، هذا السطح خيالي، على طول الـflux + +749 +00:53:01,860 --> 00:53:06,280 +بيقوللي إن الـflux عليه لازم يساوي qn على epsilon + +750 +00:53:06,280 --> 00:53:09,080 +نقطة إن السطح مغلق، الجسم اللي بيشحونه ليش ده أوى + +751 +00:53:09,080 --> 00:53:11,200 +فيه مغلق أو مفتوح، أنا بيقول إن السطح اللي اختارته + +752 +00:53:11,200 --> 00:53:15,480 +يكون مغلقلأن أنا بدي Reflex عليه حلو فانا السطح + +753 +00:53:15,480 --> 00:53:20,820 +اخترته هجيت فيه شباب انا اخترت هذا السطح عشان اأمن + +754 +00:53:20,820 --> 00:53:25,980 +ايش شرطي اللي ايه ايش تكون ثابتة تطلعه على السطح + +755 +00:53:25,980 --> 00:53:31,640 +ننجط ايه بيكون ثابت عليه ولا لا ليش تطلع عليها من + +756 +00:53:31,640 --> 00:53:36,680 +وين جاية ايه من وين جاية من وين جاية من الشحنة طب + +757 +00:53:36,680 --> 00:53:40,800 +وانت تطلع نقماش عنه كل النجاطفي إيه فانه عندنا + +758 +00:53:40,800 --> 00:53:45,100 +نقطة أكبر من نقطة تانية نقابل المجلة تهادي ثابتة + +759 +00:53:45,100 --> 00:53:48,940 +ولا مش ثابتة ثابتة اذا انا لما اشتغلت صح شباب + +760 +00:53:48,940 --> 00:53:56,280 +اختلط سطح جاس قراوي النقطة عليه أمنت انه ايه ثابتة + +761 +00:53:56,280 --> 00:54:00,400 +وانا هال بديها هاي شرطي انه زي هذا صح نحل السؤال + +762 +00:54:01,670 --> 00:54:04,510 +بقول الآن هذا الجوز السيطر في الشريفين اللي هو + +763 +00:54:04,510 --> 00:54:07,990 +المجرد اللي احنا عارفينه هي قانون جوز ا dot d a + +764 +00:54:07,990 --> 00:54:12,030 +بيساوي qn على epsilon نوت بقول it is clear that e + +765 +00:54:12,030 --> 00:54:16,970 +and d are parallel صح ايه و ايه نسري اتجاه ولا لأ + +766 +00:54:16,970 --> 00:54:20,730 +يعني عشان dot الوضعك تقرأ في الراحةand E is + +767 +00:54:20,730 --> 00:54:23,690 +constant over the surface و E ثابتة على ال surface + +768 +00:54:23,690 --> 00:54:27,790 +مأمنين يا شباب؟ E ثابتة طول ما أنا ماشي هيك أنا + +769 +00:54:27,790 --> 00:54:31,990 +على أبعاد متساوية من الشحنة إذا E هنا و هنا و هنا + +770 +00:54:31,990 --> 00:54:36,030 +و هنا و هنا و هنا و هنا كل واحد هجتني جينا إيه؟ و + +771 +00:54:36,030 --> 00:54:41,990 +هاي إيه؟ و إيه إيه من هنا؟ برضه هيك هنا هاي إيه؟ + +772 +00:54:41,990 --> 00:54:47,090 +وين؟ و هاي إيه؟ إذا دائما E و E ماعنهم parallelو + +773 +00:54:47,090 --> 00:54:51,930 +إيه ثابت على كل السطح تمام إذا بيصير عندي قانون + +774 +00:54:51,930 --> 00:55:00,150 +هيك صار ده صار و + +775 +00:55:00,150 --> 00:55:05,150 +Q in نيجي لأبن الروضة نقوله جديش ال Q in بقولي + +776 +00:55:05,150 --> 00:55:07,670 +تطلع جوا السطح ايه فيه شحنات بقول فيه شحنات مش هي + +777 +00:55:07,670 --> 00:55:12,210 +شحنات Q خلاص عوّد خلاص السؤال بقول Q is a total + +778 +00:55:12,210 --> 00:55:17,870 +charge included by the gas surfaceإذاً E طلعتها + +779 +00:55:17,870 --> 00:55:22,610 +برا الدُبط اللي طلعته أين راحت فوّحت دي اي بيساوي + +780 +00:55:22,610 --> 00:55:27,690 +بدل Q اي نش حطيت؟ Q بدل هديك على إبسل نوت حلو إيش + +781 +00:55:27,690 --> 00:55:31,810 +بإيش تكمل ال دي إي إيه مساحة إيه يا بابا السطح + +782 +00:55:31,810 --> 00:55:36,710 +جاوس مختارته مش الجسم المشحون طب السطح جاوس مش كرة + +783 +00:55:36,710 --> 00:55:40,310 +و بره مساحته أربع أبيع تربيع هي طلع الجواب كده اش + +784 +00:55:40,310 --> 00:55:46,060 +طلع هذه دي إيه طبعا ما أنتوا عارفينهاطب هو مشهوة + +785 +00:55:46,060 --> 00:55:52,000 +نفسها هذه كيك هطلع + +786 +00:55:52,000 --> 00:55:56,880 +القانون نفسه قانون + +787 +00:55:56,880 --> 00:56:01,860 +gauss أمنته فيه؟ أسئلة أصعب هالجيل هال boat is + +788 +00:56:01,860 --> 00:56:05,760 +charged القانونه زبط معايا زبط معايا تمام تمام + +789 +00:56:05,760 --> 00:56:13,520 +الآن a thin spherical shell إيش معنى shell شباب؟ + +790 +00:56:15,300 --> 00:56:20,140 +قشرة كراوية قشرة thin spherical shell يعني من جوا + +791 +00:56:20,140 --> 00:56:26,580 +مالها فاضية of radius a has a total charge capital + +792 +00:56:26,580 --> 00:56:31,520 +Q uniformly distributed over its surface وهذا + +793 +00:56:31,520 --> 00:56:36,980 +السطح كلها مشحون كلها مشحونة إيش بده؟ هلأ وين فيه + +794 +00:56:36,980 --> 00:56:41,710 +حمار فيه شحنات تمام؟هذا الكلب بدي احله لو انه + +795 +00:56:41,710 --> 00:56:46,610 +قانون جوس مش موجود بدي اخد عنصر مشكلة العنصر لو + +796 +00:56:46,610 --> 00:56:50,930 +عنصر هدى عنصره العنصر تبعته رينجات رينجات فوق بعض + +797 +00:56:50,930 --> 00:56:53,830 +بس كل واحد نص قطر ومختلف عن التانى بطلع عندى كرة + +798 +00:56:53,830 --> 00:56:58,310 +صح ولا لأ هدى كرة من برا يبقى فاضية هى معاه ال + +799 +00:56:58,310 --> 00:57:02,620 +chill spherical chill شبابمن جوا فاضية لو بدي + +800 +00:57:02,620 --> 00:57:04,700 +أجسمها العناصر زي أول في الشطرة الأول كده بدي + +801 +00:57:04,700 --> 00:57:08,620 +أحلها بقولها دي عبارة عن عدد rings ring بعدين ring + +802 +00:57:08,620 --> 00:57:11,600 +أكبر و ring أكبر و أكبر و أكبر لما أصيله النص + +803 +00:57:11,600 --> 00:57:15,780 +بعدين ring أصغر و أصغر و أصغر لما اتكمل التقرية + +804 +00:57:15,780 --> 00:57:19,720 +التانية صح أو لا؟ طب لل ring أنا بعرف بس ال ring + +805 +00:57:19,720 --> 00:57:22,640 +أنا بعرف لشغل واحدة أنه لو كانت النقطة بالظبط على + +806 +00:57:22,640 --> 00:57:26,440 +ال axis لو شلجت النقطة و ماعرفش مقعده تحله صعب + +807 +00:57:26,440 --> 00:57:30,820 +كتير جاوس قاللي هذا لو بيحتحلهبدون جاوس بدك ثلاث + +808 +00:57:30,820 --> 00:57:35,360 +صفحات و بدك ثلاث صفحات يكون عندك مهارة calculus + +809 +00:57:35,360 --> 00:57:40,900 +عالية بتكفيكاش calculus بيه بدك advanced calculus + +810 +00:57:40,900 --> 00:57:44,560 +عشان تعرف تحلوه و بدك صفحاتين تلاتة جاوس حللك إياه + +811 +00:57:44,560 --> 00:57:49,700 +بسطرسطر واحد حلو يعني احنا في ال .. في المساقات + +812 +00:57:49,700 --> 00:57:52,500 +المتقدمة في سنة تلتة بنديهم مساق مشابق بنقولهم + +813 +00:57:52,500 --> 00:57:55,580 +احسبه و مش بجاوس حاجة ده ابقى قاعد يحسب صفحتين + +814 +00:57:55,580 --> 00:57:58,480 +تلتة و تكملة طويلة عريضة عشان اطلع الجواب اللي + +815 +00:57:58,480 --> 00:58:03,020 +بيطلعه اجاوس بنص سطر تمام؟ هتشوف اول كلمة ده حلو + +816 +00:58:03,020 --> 00:58:07,540 +اول الشكل ماله الشكل المشهول ايه شكله؟ كراوي صح + +817 +00:58:07,540 --> 00:58:12,260 +ولا لأ ينطبق عليه قانون جاصل او ينطبق؟ ينطبق اول + +818 +00:58:12,260 --> 00:58:16,240 +شوش بده بقولي؟هذا نسقطر ايه؟ بيقولي find the + +819 +00:58:16,240 --> 00:58:19,460 +magnitude of the electric field at a point outside + +820 +00:58:19,460 --> 00:58:23,580 +the shell يعني R أكبر من ايه؟ بده نقطة برا واضح + +821 +00:58:23,580 --> 00:58:27,840 +شباب؟ و E inside the shell يعني مسافة R بس تكون + +822 +00:58:27,840 --> 00:58:31,620 +أقل من ايه؟ يعني بده نقطة برا و نقطة جوا حلو + +823 +00:58:32,280 --> 00:58:36,860 +Solution من كل مرة شباب بتطلع على الجسم المشحون + +824 +00:58:36,860 --> 00:58:40,860 +إذا أحد الأشكال اللي حكينا عنها بكمل مش أحد + +825 +00:58:40,860 --> 00:58:44,120 +الأشكال بشوف القانون غير قانون gauss واضح شباب + +826 +00:58:44,120 --> 00:58:49,730 +فيرجعتش جسم المشحون كرهفاضية مليانة صغيرة كبيرة من + +827 +00:58:49,730 --> 00:58:54,170 +الجعوة المهم كورة ولا مش كورة؟ كورة sphericalشل + +828 +00:58:54,170 --> 00:58:59,410 +spherical فهي قشرة كراوية ينطبق عليها قانون جاوس؟ + +829 +00:58:59,410 --> 00:59:02,910 +ينطبق الخطوة التالية بدي اختار قانون جاوس قبل ما + +830 +00:59:02,910 --> 00:59:05,430 +اختار قانون جاوس بقول وين بدك تشدتي المجال عشان + +831 +00:59:05,430 --> 00:59:09,030 +تجيب ال point ايش point بده في الأول؟ outside the + +832 +00:59:09,030 --> 00:59:13,590 +shell we choose any arbitrary point outside the + +833 +00:59:13,590 --> 00:59:16,700 +shell و الحلبة الحمرة ايش هذه؟ دلوقتي ولا برا؟طب + +834 +00:59:16,700 --> 00:59:19,880 +مشعون انا مش مشعون اه ماهي جوا في شحنات تلقي + +835 +00:59:19,880 --> 00:59:25,180 +الجواب على طول بتطلع بيقول نفسي اللي عملته هذا هو + +836 +00:59:25,180 --> 00:59:29,060 +بيطلع الجواب وهذا الـQ in بيساوي الـQ ولا لا الـQ + +837 +00:59:29,060 --> 00:59:34,400 +in هنا كلها جوا كل شحناتها وين الحلاوة الحلاوة هنا + +838 +00:59:34,400 --> 00:59:40,860 +هذه كفتك منها بي عيده في بي وين بده شباب بده جوا + +839 +00:59:40,860 --> 00:59:44,460 +هذه النقطة تبعتك بده اختار سطح جاس كيف + +840 +00:59:47,080 --> 00:59:52,960 +هو يلّا شطرين جديش فيه شحنات جوا جديش نتيجة يقول + +841 +00:59:52,960 --> 00:59:56,440 +وردي مصهله هذه اللي بده تلت أربع صفحات في حل في + +842 +00:59:56,440 --> 00:59:59,780 +الطريقة الأولى عشان أطلع السفر هذا بده تلت أربع + +843 +00:59:59,780 --> 01:00:02,960 +صفحات و بده مهارة عالية في ال calculus عشان أطلع + +844 +01:00:02,960 --> 01:00:08,870 +السفرلأ انا هجيبها المصممة هجيبها أنا وياك هجيبها + +845 +01:00:08,870 --> 01:00:11,970 +و بقى بيفرجي جد السيلة في هذه الحالة طبعا ان انا + +846 +01:00:11,970 --> 01:00:17,510 +هاعيدها مددش QA مددش نتيجة نتيجة نتيجة نتيجة نتيجة + +847 +01:00:17,510 --> 01:00:17,850 +نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة + +848 +01:00:17,850 --> 01:00:17,850 +نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة + +849 +01:00:17,850 --> 01:00:17,890 +نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة + +850 +01:00:17,890 --> 01:00:23,990 +نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة + +851 +01:00:23,990 --> 01:00:33,410 +نتيجة نتيجة نتيجة نتيجة + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs.srt new file mode 100644 index 0000000000000000000000000000000000000000..e39832dbf645336e7ec91e379240a855af098dbb --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs.srt @@ -0,0 +1,3426 @@ +1 +00:00:11,200 --> 00:00:18,300 +بسم الله الرحمن الرحيم نستأنف ما تبقى من chapter 3 + +2 +00:00:18,300 --> 00:00:24,400 +اللي كان بعنوان electric potential بدنا نربط ال + +3 +00:00:24,400 --> 00:00:28,400 +electric potential مع ال potential energy وحكينا + +4 +00:00:28,400 --> 00:00:36,150 +أنّ U بتساوي Q في V أو V بتساوي U على Q وبالتالي + +5 +00:00:36,150 --> 00:00:40,750 +بدلالة ال electric potential is derived from the + +6 +00:00:40,750 --> 00:00:46,190 +potential energy من هنا إيجاء اسم ال potential بعد + +7 +00:00:46,190 --> 00:00:49,130 +كده ربطناه بكونه مربوط بالـ energy والـ energy + +8 +00:00:49,130 --> 00:00:53,030 +مربوط بالـ work والـ work ربطناه بالقوة والقوة + +9 +00:00:53,030 --> 00:00:56,450 +مربوطة بالمجال الكهربائي فصار في عندي الجهد + +10 +00:00:56,450 --> 00:01:01,270 +الكهربائي بينجاب إذا عرفتي المجال الكهربائي على + +11 +00:01:01,270 --> 00:01:06,270 +اعتبار أنّ v عند نقطة م يساوي سالب التكامل من + +12 +00:01:06,270 --> 00:01:15,400 +المنتهى النهائية للنقطة E dot dl الشغل الثاني E مش + +13 +00:01:15,400 --> 00:01:20,900 +دايماً سهل نجيبه بالتالي اشتقنا قانون بيقول Vp + +14 +00:01:20,900 --> 00:01:30,680 +بيساوي KQ على R وهذا قانون for point charges و + +15 +00:01:30,680 --> 00:01:34,660 +بيشبه الـ E بيساوي KQ على R تلبية بالظبط ولا لأ و + +16 +00:01:34,660 --> 00:01:38,940 +خلينا مثال واحنا بنحل مثال للمرة هذه الشباب كان + +17 +00:01:38,940 --> 00:01:45,220 +مقلوب من التالي بيقول كان في عندك two charges Q1 و + +18 +00:01:45,220 --> 00:01:50,560 +Q2 واوجد الجهد عند النقطة P اوجدته أقول أنّ هذا + +19 +00:01:50,560 --> 00:01:55,160 +سؤال سهل المطلوب التالي قال لي ما هو الفرق في ال + +20 +00:01:55,160 --> 00:02:03,600 +potential energy بين هذين الـ system والـ system الآخر بتولد + +21 +00:02:03,600 --> 00:02:07,560 +إذا جيبت Q ثالثة from infinity وحطيتها عند النقطة + +22 +00:02:07,560 --> 00:02:11,280 +P وقلنا الـ delta U هو بيساوي نفس الشغل يعني هو + +23 +00:02:11,280 --> 00:02:15,620 +بده الـ delta U بيساوي الشغل والشغل هو نفس الجهد + +24 +00:02:15,620 --> 00:02:20,600 +مضروب بالشحنة المنقولة فقلت الشغل لما قلنا راجح + +25 +00:02:20,600 --> 00:02:25,740 +المحطّمات السّالبة الذاكرين فقلنا الشغل اللازم عشان + +26 +00:02:25,740 --> 00:02:30,920 +أنقل شحنة Q3 من المال النهائي عند النقطة P بيساوي + +27 +00:02:30,920 --> 00:02:36,460 +الشغل بيساوي Q3 المنقولة في VB حسبتها وهذه قرتها + +28 +00:02:36,460 --> 00:02:42,600 +نفسها بيساوي ΔU دلتا يو مش هي أصلاً U final ناقص + +29 +00:02:42,600 --> 00:02:46,570 +U initial صح ولا لأ؟ طب أنا أنت عندك system مرة + +30 +00:02:46,570 --> 00:02:51,090 +initial ومرة final هذا الوضع Q1 وQ2 Initially + +31 +00:02:51,090 --> 00:02:55,930 +Final إيه صار فيه؟ يقول يصار فيه Q3 صح ولا لأ؟ يعني + +32 +00:02:55,930 --> 00:02:58,570 +initial كان في شحنتين final يجيب الشحنات اللي + +33 +00:02:58,570 --> 00:03:03,450 +عندهم طب أنت لو في عندك قانون يجيب لك U initial و + +34 +00:03:03,450 --> 00:03:06,770 +U final وجيب الـ delta U بيطلع نفس الجواب مفروض صح + +35 +00:03:06,770 --> 00:03:10,970 +ولا لأ؟ أنا ما عنديش قانون يجيب لي U لما يكون عندي + +36 +00:03:10,970 --> 00:03:14,190 +شحنتين أو لما يكون ثلاث مهمتنا الآن نشتغل هذا + +37 +00:03:14,190 --> 00:03:17,650 +القانون أنّه لما يكون في عندي شحنتين المفروض يكون + +38 +00:03:17,650 --> 00:03:20,790 +يلهم U ولما يكون عندي ثلاث شحنات برضه يكون يلهم U + +39 +00:03:20,790 --> 00:03:25,330 +كيف بدي أحسب U انّي أسأل ويطلع نفس الجواب هذا هو + +40 +00:03:25,330 --> 00:03:31,110 +موضوعنا الأول في هذه المحاضرة هذا حلّناها كل واحدة + +41 +00:03:32,070 --> 00:03:36,430 +potential energy of a system of point charges .. + +42 +00:03:36,430 --> 00:03:40,090 +a system of point charges .. في عندك point + +43 +00:03:40,090 --> 00:03:44,470 +charges زي هيك .. Q1, Q2, Q3 ومطلوب مني أوجد U + +44 +00:03:44,470 --> 00:03:47,550 +لهم .. هذا الـ system .. قال يجب أن تحسبها .. قال + +45 +00:03:47,550 --> 00:03:51,310 +بقدرش أحسبها .. أرجع للقانون الأصلي .. إيش هو + +46 +00:03:51,310 --> 00:03:56,310 +القانون الأصلي؟ كيف أنا شباب حسبت U ده لـ gravity؟ + +47 +00:03:56,310 --> 00:04:01,000 +قلت هنا في MGH .. كيف حسبتها؟ أيامها جبنا الـ work + +48 +00:04:01,000 --> 00:04:07,120 +اللازم عشان أنقل هذا الجسم من الطاولة لهنا و + +49 +00:04:07,120 --> 00:04:09,920 +بقول هذا الـ work مساوي سالب دلتا U وطلعناها + +50 +00:04:09,920 --> 00:04:13,460 +مظبوط ولا لأ وهي بتجيب it to you هنا نفس العملية + +51 +00:04:13,460 --> 00:04:21,920 +بدي أنا أجيب الـ work بقول دعنا نتخيل العمل + +52 +00:04:21,920 --> 00:04:25,460 +اللازم + +53 +00:04:25,460 --> 00:04:29,020 +لسبب دروح الشغل اللازم بواسطة قوة خارجية العمل + +54 +00:04:29,020 --> 00:04:35,740 +اللازم لتشكيل نظام ثلاث نقاط أنا مطلوب مني شباب + +55 +00:04:35,740 --> 00:04:45,300 +مطلوب مني أشكل نظام من ثلاث نقاط وأحسب لبعد كده ال + +56 +00:04:45,300 --> 00:04:47,900 +potential energy بتاعتهم الشغل الـ potential energy + +57 +00:04:47,900 --> 00:04:51,960 +بتساوي الشغل اللازم عشان هدول الثلاث ينحطوا جنب بعض + +58 +00:04:51,960 --> 00:04:54,900 +طب هدول الثلاث وين هم؟ قولي هدول الثلاث في الـ infinity + +59 +00:04:54,900 --> 00:04:58,540 +النهائية اعتبرهم موجودين في الـ infinity تمام؟ + +60 +00:05:06,740 --> 00:05:09,540 +إذا أنا في عندي ثلاث شحنات في الـ infinity يا شباب + +61 +00:05:09,540 --> 00:05:11,840 +هو طبعاً في الـ infinity فيه شحنات مليون شحنة أنا + +62 +00:05:11,840 --> 00:05:14,180 +بجيب ثلاثة منهم وأحطهم واحدة واحدة وأحطهم على + +63 +00:05:14,180 --> 00:05:18,260 +اللوح هجيب شوي كده بدي أسوي بقول الشحنة الشغل + +64 +00:05:18,260 --> 00:05:23,220 +اللازم عشان أنقل الشحنة من الـ infinity للنقطة تمام + +65 +00:05:23,220 --> 00:05:27,820 +بيساوي الشحنة المنقولة في جهد النقطة مش هيك صح هيك + +66 +00:05:27,820 --> 00:05:31,900 +اتعاملنا معاها طبعاً بيقول لي to do so إيه باك تسوي + +67 +00:05:31,900 --> 00:05:35,140 +عشان أنت تنقل الشحنات؟ we have to calculate the + +68 +00:05:35,140 --> 00:05:39,900 +work required to bring from infinity تجيب من + +69 +00:05:39,900 --> 00:05:45,340 +الـ infinity each charge one by one تجيب واحدة واحدة كي + +70 +00:05:45,340 --> 00:05:48,640 +بتحسب هالشغل؟ بيقول لي as اللي أول حكيتها وحكيتها + +71 +00:05:48,640 --> 00:05:51,500 +وحكيتها في المحاضرة الماضية as the potential at a + +72 +00:05:51,500 --> 00:05:54,840 +point is equal to the work required to bring a + +73 +00:05:54,840 --> 00:05:57,960 +positive unit charge from infinity to that point + +74 +00:05:57,960 --> 00:06:01,700 +هذا تعريف الجهد عند نقطة بيساوي الشغل اللازم عشان + +75 +00:06:01,700 --> 00:06:04,940 +أنقل واحدة الشحنات الموجبة من الـ infinity لتلك + +76 +00:06:04,940 --> 00:06:10,040 +النقطة صح ولا لأ؟ عشان أنقل واحدة الشحنات طب لو + +77 +00:06:10,040 --> 00:06:13,800 +بدي أنقل شحنة معروفة مضروب قيمة الشحنة صح ولا لأ؟ + +78 +00:06:14,570 --> 00:06:18,030 +therefore the work required to bring a charge q + +79 +00:06:18,030 --> 00:06:22,990 +from infinity to a point must equal to the + +80 +00:06:22,990 --> 00:06:26,810 +potential at that point multiplied by q هذا + +81 +00:06:26,810 --> 00:06:28,650 +القانون اللي استخدمته في المثال السابق وهذا + +82 +00:06:28,650 --> 00:06:31,530 +القانون اللي بتاعه حكيته أنّ الشغل اللازم عشان أنقل + +83 +00:06:31,530 --> 00:06:34,570 +شحنة من الـ infinity من نقطة P بالصيغة Q الشحنة + +84 +00:06:34,570 --> 00:06:40,030 +المنقولة اللي بدي أنقلها في V عند نقطة P تمام بقول + +85 +00:06:40,030 --> 00:06:43,860 +الآن هي أول شحنة قبل ما أجيب الشحنة هذه جيت في + +86 +00:06:43,860 --> 00:06:47,980 +الفضاء تخيلّى الفضاء هذا في أي شحنات في الشحنات لو + +87 +00:06:47,980 --> 00:06:52,280 +أنا طلبت طالب يستخدم لي هذا القانون ويقول لي احسب لي + +88 +00:06:52,280 --> 00:07:00,800 +الجهد عند نقطة infinity سفر فيش جهد صح حلو جيت أنت + +89 +00:07:00,800 --> 00:07:04,540 +بيحط عند نقطة هذه اللي بيعتبرها infinity أنا جهودها + +90 +00:07:04,540 --> 00:07:08,120 +infinity بدأت بشحنة من الـ infinity وحطها هناك قد ايه بذلت + +91 +00:07:08,120 --> 00:07:13,510 +شغل بذلت بالقانون الشغل احنا لما نقوله Q1 فيه جهد + +92 +00:07:13,510 --> 00:07:20,310 +عند النقطة كده جهد؟ infinity فشغل الأولان كده؟ Zero فهي + +93 +00:07:20,310 --> 00:07:26,030 +نقلتها ده Q1 حطيتها في النقطة بيقول لي ما هو no + +94 +00:07:26,030 --> 00:07:32,080 +work فإيش الشغل يحتاج الناس لتوضيح نقطة Q1 في موقع + +95 +00:07:32,080 --> 00:07:36,560 +واحد لماذا 0؟ لأنه لا يوجد قوة إلكترونية في هذا + +96 +00:07:36,560 --> 00:07:37,000 +المكان + +97 +00:07:43,350 --> 00:07:47,550 +الجهد مالها موجود؟ Zero إذا أنا حاططها بداية + +98 +00:07:47,550 --> 00:07:52,410 +الشغل بحسب القانون ما بدأت الشغل إذا أول شغل لزم + +99 +00:07:52,410 --> 00:07:55,350 +عشان أنقل الشحنة الأولى كان بيساوي Zero الآن + +100 +00:07:55,350 --> 00:07:58,590 +بتجيب شحنة ثانية يا شباب وين بتحطها؟ بتحط جنبها + +101 +00:07:58,590 --> 00:08:01,390 +يعني حواليها طب هلا عند أي نقطة حواليها فيه جهد + +102 +00:08:01,390 --> 00:08:07,160 +ولا فيه جهد؟ هيه؟ إذا الآن وين بيبقى بتحطها؟ الشغل + +103 +00:08:07,160 --> 00:08:11,020 +بيساوي Q2 اللي هي الثانية في هذا الجهد ولا لأ هذا + +104 +00:08:11,020 --> 00:08:15,740 +الآن بيساوي واحد هذا الجهد إذا في عندي أي نقطة + +105 +00:08:15,740 --> 00:08:20,040 +بيقول لي الآن next we place a secondary charge Q2 + +106 +00:08:20,040 --> 00:08:25,080 +at a position R12 from Q هنا بدي أحط شحنة عند + +107 +00:08:25,080 --> 00:08:29,750 +النقطة هذه كما بالنقطة هذه يا شباب هي حقيقتها بقول + +108 +00:08:29,750 --> 00:08:36,470 +عندي المسافات this requires a work بيساوي Q2 في V + +109 +00:08:36,470 --> 00:08:41,170 +وV1 جهد جاي من وين؟ من الـ Q1 صح ولا لأ؟ وبيساوي + +110 +00:08:41,170 --> 00:08:44,190 +KQ1 على المسافة اللي هي R12 ولا لأ؟ + +111 +00:08:44,190 --> 00:08:48,590 +و بيساوي إيه؟ هذا هو الـ KQ1 على R12 + +112 +00:08:48,590 --> 00:08:53,850 +مضروب في Q2 الشحنة المنقولة هذا الشغل الثاني تمام؟ + +113 +00:08:54,550 --> 00:08:57,290 +بدي أجيب الشغل الثالث واحدة أنا بدي أجيب ثلاث + +114 +00:08:57,290 --> 00:09:01,130 +الثلاث أنا بدي أحطها يا شباب بدي أحطها هنا هناك + +115 +00:09:01,130 --> 00:09:06,650 +أنت قاطع الخطين هدول هناك فيه جهد فيه جهد من شحنتين + +116 +00:09:06,650 --> 00:09:13,230 +براه طب تروح تحسبهم اه KQ1 على R13 + +117 +00:09:13,230 --> 00:09:18,090 +زائد KQ2 على R23 صح ولا لأ + +118 +00:09:18,090 --> 00:09:20,790 +تمام بيقول لي إيش KQ3 عطيتها + +119 +00:09:23,420 --> 00:09:30,320 +We now must do work given as Q3 في V1 وV2 وV1 و + +120 +00:09:30,320 --> 00:09:34,620 +V2 وV1 وV2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 و + +121 +00:09:34,620 --> 00:09:36,920 +V2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 و + +122 +00:09:36,920 --> 00:09:38,720 +V2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 و + +123 +00:09:38,720 --> 00:09:39,920 +V2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 و + +124 +00:09:39,920 --> 00:09:46,260 +V2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 و + +125 +00:09:46,260 --> 00:09:52,380 +V2 وV2 وV2 وV2 وV2 وV2 وV2 وV2 + +126 +00:09:52,380 --> 00:09:56,210 +وV زاد هذا .. زاد هذا .. صح ولا لأ الشغل الكل + +127 +00:09:56,210 --> 00:10:00,790 +بتقدر تجيبوه؟ اجمعوه .. هي الشغل الكل طب هذا الشغل + +128 +00:10:00,790 --> 00:10:04,850 +الكل وين راح؟ قال بيتخزن جوا طاقة وضع ولا لأ؟ طاقة + +129 +00:10:04,850 --> 00:10:08,870 +وضع .. حاجة نرجع .. نرجع لـ .. هذا .. هذا الـ remote + +130 +00:10:08,870 --> 00:10:12,550 +حاجة أنا اللي جيت بدي أقول من ها لها ما زال .. ما + +131 +00:10:12,550 --> 00:10:17,210 +زال الشغل؟ جوا بيتخزن جوا طاقة وضع ولا لأ؟ إذا الشغل + +132 +00:10:17,210 --> 00:10:20,470 +المبذول بيتخزن جوا طاقة وضع لأنّ أنت حسبت الشغل طب + +133 +00:10:20,470 --> 00:10:25,990 +بده طاقة وضع ما هو نفسهم هو نفسهم تمام؟ بيقول + +134 +00:10:25,990 --> 00:10:30,630 +الآن The total work required to assemble a system + +135 +00:10:30,630 --> 00:10:35,220 +of three charges is then الشغل اللي تبقى الأول زي + +136 +00:10:35,220 --> 00:10:37,680 +الشغل الثاني زي الشغل الثالث يعني الشغل اللي لازم + +137 +00:10:37,680 --> 00:10:40,340 +عشان أجيب الأولى والشغل اللي لازم عشان أجيب + +138 +00:10:40,340 --> 00:10:43,040 +الثانية والشغل اللي لازم عشان أجيب الثالثة الأول + +139 +00:10:43,040 --> 00:10:48,940 +مش Zero والثاني KQ1 وKQ2 والثالث فيه له حدين اجمعهم + +140 +00:10:48,940 --> 00:10:53,020 +وقول هذا الشغل اللي هتحصل هو this work is stored + +141 +00:10:53,020 --> 00:10:57,140 +مخزن as an electrostatic energy in the system so + +142 +00:10:57,140 --> 00:11:01,660 +we write هاي اليوم طبعاً أنتم يا شباب احنا لما نقول في + +143 +00:11:01,660 --> 00:11:04,460 +potential energy هاي potential energy إيش يعني؟ + +144 +00:11:04,460 --> 00:11:07,240 +لو بتفلته وبيضله زي ما هو الـ potential energy + +145 +00:11:07,240 --> 00:11:09,880 +اللي مخزنة تتحول لطاقة حركية ولا لأ ده مازال زي + +146 +00:11:09,880 --> 00:11:14,860 +الزنبرك حيث الزنبرك شدّه أو اتغطى في طاقة وضع + +147 +00:11:14,860 --> 00:11:18,600 +ساعته ولا لأ تفلته بيضله ولا بيرجع بيرجع لأنّ طاقة + +148 +00:11:18,600 --> 00:11:24,600 +وضعه تتحرك لطاقة حركة طيب سؤال شباب الـ level تبقى + +149 +00:11:24,600 --> 00:11:28,820 +الـ table نرجع لفيزياء ألف جسم على الأرض موجب + +150 +00:11:28,820 --> 00:11:34,810 +ولا سالب فالتو بيضلّ على الـ table إيش بيدوه؟ بيدوه + +151 +00:11:34,810 --> 00:11:39,450 +energy وهذا معناه السالب أنّه بيحتاج طاقة نقص عنده + +152 +00:11:39,450 --> 00:11:44,150 +فلما يكون تحت كونه U بيكون سالبة تحت الـ level طبعاً + +153 +00:11:44,150 --> 00:11:46,690 +الذّنبالك ما فيش مجال يكون U سالبة وأنتم عرفتوها + +154 +00:11:46,690 --> 00:11:50,980 +ليش؟ لأنّ ما فيش عندي وضع V زنبرك بدّه حد يساعدّه عشان + +155 +00:11:50,980 --> 00:11:55,000 +يرجع لـ equilibrium بشيء صح ولا لأ؟ في وضع بدك حد + +156 +00:11:55,000 --> 00:11:59,180 +يساعد الجسم عشان يرجع لـ equilibrium؟ لأ بس هنا فيه + +157 +00:11:59,180 --> 00:12:01,820 +أوضاع في الـ gravity الجسم لما يكون تحت الـ level + +158 +00:12:01,820 --> 00:12:05,360 +بدّه حد يساعدّه يرجع للـ level صح ولا لأ؟ فبتكون ليه + +159 +00:12:05,360 --> 00:12:09,470 +سالبة مرات وهي معنى السالب بس بالـ spring لأ هذه هي + +160 +00:12:09,470 --> 00:12:14,470 +الآن هذه الـ يونيت تباتة طب لو فيه أربعة بقولي بقدر + +161 +00:12:14,470 --> 00:12:17,450 +أجيبها لو فيه خمسة بقدر أجيبها بس بتطول أكثر + +162 +00:12:17,450 --> 00:12:24,010 +فبسؤالي الآن لو في بس شحنتين إيش بيكون الجواب بس + +163 +00:12:24,010 --> 00:12:28,370 +الأولى بس حد واحد يطلع في مين أعملها دي مش هدّيتها + +164 +00:12:28,370 --> 00:12:30,950 +الشحنات يطلع كده في الحدود كده كنا عارفين أنها + +165 +00:12:30,950 --> 00:12:34,330 +كده ولا لأ كده عارفينها يطلع 13 و1 + +166 +00:12:34,330 --> 00:12:37,270 +3 و3 كده كده كده كده كده كده كده كده كده + +167 +00:12:37,270 --> 00:12:39,090 +كده كده كده كده كده كده كده كده كده كده كده كده + +168 +00:12:39,090 --> 00:12:40,290 +كده كده كده كده كده كده كده كده كده كده كده كده + +169 +00:12:40,290 --> 00:12:44,630 +كده كده كده كده كده كده كده كده كده كده كده كده + +170 +00:12:46,280 --> 00:12:50,080 +يعني ستة terms طلع 12 13 14 + +171 +00:12:50,080 --> 00 + +201 +00:14:43,350 --> 00:14:45,270 +دوام الموجة بقى بقى الـ gravity و مرات موجة بقى و + +202 +00:14:45,270 --> 00:14:47,630 +مرات سالبة حسب انها تحت الـ level او فوق الـ level + +203 +00:14:47,630 --> 00:14:50,170 +صح ولا لأ؟ و صار في عندنا sense ايش معنات سالبة و + +204 +00:14:50,170 --> 00:14:53,950 +ايش معنات موجة بقى؟ طيب هنا ممكن تكون موجة بقى و + +205 +00:14:53,950 --> 00:14:57,830 +ممكن تكون سالبة ممكن + +206 +00:14:57,830 --> 00:15:02,330 +انت كانت شحنة سالبة اه كم شحنة فين؟ تنتين طب لو + +207 +00:15:02,330 --> 00:15:07,390 +تنتين سوالب؟ أو واحدة منهم موجبة و سالبة؟ إذا ممكن + +208 +00:15:07,390 --> 00:15:10,330 +تكون سالبة إذا كانت واحدة موجبة و واحدة سالبة صح + +209 +00:15:10,330 --> 00:15:13,190 +ولا لأ؟ إذا ده نقلطة ممكن تكون موجبة و ممكن تكون + +210 +00:15:13,190 --> 00:15:17,350 +سالب بيقول ان إذا كانت القوات من نفس الصينية لا تن + +211 +00:15:17,350 --> 00:15:21,890 +تن موجبات لا تن تن سالبات U is positive which means + +212 +00:15:21,890 --> 00:15:25,290 +that the force is repulsive ولما يكونوا موجبات + +213 +00:15:25,290 --> 00:15:29,930 +بيكون القوة repulsive ولما تكون شباب U positive + +214 +00:15:30,820 --> 00:15:35,620 +معناته الجسم عنده طاقة زيادة، صح؟ يعني فلته بتتحرك + +215 +00:15:35,620 --> 00:15:39,500 +على مكان معانا معين، هدول أنه يجيب الشحنتين جانب + +216 +00:15:39,500 --> 00:15:43,540 +بعض، فلتهم بيبعدوا عن بعض ولا بيبعدوش؟ هيبعدوا عن + +217 +00:15:43,540 --> 00:15:46,980 +بعض، إذا معناته هذا بقول عن قوة repulsive، دايما + +218 +00:15:46,980 --> 00:15:50,520 +لما تكون قوة تنافورية، you بتكون positive، تمام؟ + +219 +00:15:51,260 --> 00:15:54,500 +بقول if the charge R of the same sign U is + +220 +00:15:54,500 --> 00:15:57,660 +negative which means that the force is attractive + +221 +00:15:57,660 --> 00:16:01,220 +املازجين الطاقد زي لما انا اقول هذه تحت الأرض ما + +222 +00:16:01,220 --> 00:16:04,040 +هو املازج في الأرض املازج في الأرض ايش اللي طلعوا + +223 +00:16:04,040 --> 00:16:08,000 +على الطاولة بدوا حد يساعده وهدول إلكترونين إلكترون + +224 +00:16:08,000 --> 00:16:12,080 +وبروتون خلينا نقول different sign opposite sign + +225 +00:16:12,080 --> 00:16:15,820 +إلكترون وبروتون فلتهم يبقوا بعيد؟ بدك حد يبقى + +226 +00:16:15,820 --> 00:16:18,620 +أيدهم عن بعض ولا لأ؟ عشان كده U تبعتهم بتكون سالي + +227 +00:16:18,620 --> 00:16:22,300 +بعدوانتوا خدتوا في الكيميا الثانوية العامة كمية + +228 +00:16:22,300 --> 00:16:26,140 +اذكركم فيها كان في .. ماعرفش انا اشي رمزها احنا + +229 +00:16:26,140 --> 00:16:31,780 +نموذها بالـ E بتساوي سالب تلتاش point ستة electron + +230 +00:16:31,780 --> 00:16:37,120 +volt مرت عليكم كمية دي انا بحاول ميجلدكبس هدى + +231 +00:16:37,120 --> 00:16:42,920 +الكمية هدى هي طاقة المضار الأول صح؟ هدى من وين + +232 +00:16:42,920 --> 00:16:45,240 +إجتوا؟ مش هو المضار الأول؟ قال المضار الأول هدى هو + +233 +00:16:45,240 --> 00:16:48,600 +هنا فيه زائد electron بوتون يعنى و هنا فيه + +234 +00:16:48,600 --> 00:16:53,680 +electron بدور حوالين مش هيك؟ يعني هكذا مش احنا فيه + +235 +00:16:53,680 --> 00:16:57,760 +تنتهي electron و بوتون تمام؟ يلّا أحسب يوم قال لي + +236 +00:16:57,760 --> 00:17:02,940 +يلّا أحسب يوم سوى كي اكيو واحد E اكيو اتنين E بس + +237 +00:17:02,940 --> 00:17:08,620 +بالسالبعلى R تربيعي وR تربيعي مسافة طبعا فرقة + +238 +00:17:08,620 --> 00:17:11,420 +الهيبروجين اللي يكترنها الـ 0.5 Angstrom اذا كنتوا + +239 +00:17:11,420 --> 00:17:16,960 +ذاكرينها 0.5 + +240 +00:17:16,960 --> 00:17:20,540 +Angstrom احسبها تطلع هذا المقدارهيضيط انا بدى ايجي + +241 +00:17:20,540 --> 00:17:26,460 +للسالب عشان إلكترون وبروتون مودة بسالب وعشان هيك + +242 +00:17:26,460 --> 00:17:31,900 +هل الإلكترون بفلت من النواء لحاله ولا بده طاقة زي + +243 +00:17:31,900 --> 00:17:35,920 +اللى كان على أرض بده طاقة عشان يرجع لف طاولة فهذا + +244 +00:17:35,920 --> 00:17:40,690 +مربوطبينه قوة attractive عشان كده U بتكون negative + +245 +00:17:40,690 --> 00:17:43,850 +فلما كان تكون دائما U negative بتكون قوة + +246 +00:17:43,850 --> 00:17:47,050 +attractive لما تكون U positive بيكون حاجة بتطرد + +247 +00:17:47,050 --> 00:17:51,490 +فيه يعني زي هذا فالته بتطرد من المكان هذا بتطرد + +248 +00:17:51,490 --> 00:17:58,150 +مقدراش يقعد من مكانه لأن فيه حاجة بترضهو انا اتقلت + +249 +00:17:58,150 --> 00:18:01,290 +طاقة اترجع فانت كنت ترجع و انا كنت ناس كفلته طب + +250 +00:18:01,290 --> 00:18:03,550 +انا اترجع و بيبقى اختار طاقة شغالة تانية لكن ال + +251 +00:18:03,550 --> 00:18:06,410 +الاترون و البروترون بعيدهم عن بعض بحالهم بجالبهم + +252 +00:18:06,410 --> 00:18:10,030 +بحالهم بجالبهم ده مش حد يساعدهم إلى الزجاج بعد لإن + +253 +00:18:10,030 --> 00:18:12,410 +فيه قوة بيجيبهم تمام؟ حلو + +254 +00:18:15,710 --> 00:18:18,730 +هذا الـ Example يتوقن بالضحك عنه بيقول لي find the + +255 +00:18:18,730 --> 00:18:20,670 +potential energy of the system given in the + +256 +00:18:20,670 --> 00:18:23,490 +previous example جيبلي جيب U final كلها التلاتة + +257 +00:18:23,490 --> 00:18:27,410 +اللي موجودين هذه التلاتة Q تلاتة جيبلي U final U + +258 +00:18:27,410 --> 00:18:31,070 +initial سهلة جيبها انا وياكم نطلع بيقول لي U هذا + +259 +00:18:31,070 --> 00:18:35,610 +هي القانون سهل مش تلاتة شباب تلاتة واحد اتنين واحد + +260 +00:18:35,610 --> 00:18:39,090 +تلاتة اتنين تلاتة اطلعوا المقام واحد اتنين تلاتة + +261 +00:18:39,090 --> 00:18:45,740 +مترأربعة متر اتنين ثلاثة خمسة متر كله معروف تمام + +262 +00:18:45,740 --> 00:18:50,880 +اضرب طبعا الموجة موجة بصالب صالب حسب ما هطلعتها + +263 +00:18:50,880 --> 00:18:54,820 +الجدّي have you final شباب لو جيب دي حسب انا وياكم + +264 +00:18:54,820 --> 00:18:57,060 +you initial ونشوف نطلع مع بعض you initial كيف بدي + +265 +00:18:57,060 --> 00:19:01,180 +اجيبها you initial بتساوي كيك كيك واحد كيك اتنين + +266 +00:19:01,180 --> 00:19:08,540 +على اعلى واحد كمين صح ولا لا نيجي نحسب بتساوي تسعة + +267 +00:19:08,540 --> 00:19:10,260 +في عشر او تسعة صح؟ + +268 +00:19:24,310 --> 00:19:28,850 +تلاتة في التلاتة في التلاتة في التلاتة في التلاتة + +269 +00:19:28,850 --> 00:19:30,990 +في التلاتة في التلاتة في التلاتة في التلاتة في + +270 +00:19:30,990 --> 00:19:33,170 +التلاتة في التلاتة في التلاتة في التلاتة في + +271 +00:19:33,170 --> 00:19:36,150 +التلاتة في التلاتة في التلاتة في التلاتة في + +272 +00:19:36,150 --> 00:19:37,170 +التلاتة في التلاتة في التلاتة في التلاتة في + +273 +00:19:37,170 --> 00:19:37,230 +التلاتة في التلاتة في التلاتة في التلاتة في + +274 +00:19:37,230 --> 00:19:37,290 +التلاتة في التلاتة في التلاتة في التلاتة في + +275 +00:19:37,290 --> 00:19:38,230 +التلاتة في التلاتة في التلاتة في التلاتة بترحوا من + +276 +00:19:38,230 --> 00:19:42,830 +بعض بيطلع جواب B من المثال السابق لإيه يتحسب + +277 +00:19:42,830 --> 00:19:47,370 +الشباب هذا ناقص هذا بيطلع جواب التاني هي هي طبعا + +278 +00:19:47,370 --> 00:19:51,230 +بالتالي مافيش عندي انا أي اشكالية في اني اجيب + +279 +00:19:51,230 --> 00:19:56,350 +بطريقة هذه او بطريقة هذه بس فقط انه الـ potential + +280 +00:19:56,350 --> 00:20:00,070 +energy اللي بيساوي الـ work و الـ work عرفنا كيف + +281 +00:20:00,070 --> 00:20:07,480 +نجيبه الآن العنوانالأساسي الأخر و المهم هو + +282 +00:20:07,480 --> 00:20:13,040 +electric potential due to a continuous charge + +283 +00:20:13,040 --> 00:20:18,880 +distribution زي ايش؟ زي الـ rod والـ ring والـ disk، + +284 +00:20:18,880 --> 00:20:24,340 +تذكرينهم؟ تمام، وزي الـ sphere والـ cylinder وكل هذه + +285 +00:20:24,340 --> 00:20:29,830 +الأموريقول لي انت كيف حلته المرة هديك؟ كنت اخد + +286 +00:20:29,830 --> 00:20:35,130 +عنصر صح ولا لأ؟ اجيب المجال لعنصر ثم اكامل و قبل + +287 +00:20:35,130 --> 00:20:38,730 +ما اكامل انت بيتعامل مع vectors كنت اخد المراكبات + +288 +00:20:38,730 --> 00:20:41,230 +الصينية لحال و المراكبات الصينية لحال هذا في + +289 +00:20:41,230 --> 00:20:45,070 +المجال الكعربائي لما تكون أمور صعبة واحد جاوس يجيب + +290 +00:20:45,070 --> 00:20:49,980 +بطريقة تانية ضلي إذا كانالشكل حلو والdistribution + +291 +00:20:49,980 --> 00:20:54,060 +سيمتريك بإمكانك تستخدم قانون gauss صح ولا لأ؟ طيب + +292 +00:20:54,060 --> 00:20:57,420 +هنا إيش بقى تسوي؟ بيقول if a charge is + +293 +00:20:57,420 --> 00:21:01,540 +continuously distributed in a given region two + +294 +00:21:01,540 --> 00:21:04,140 +methods will be followed بدي أستخدم طريقة تانية + +295 +00:21:04,140 --> 00:21:07,520 +الآن إيش أول طريقة؟ بيقول if the charge + +296 +00:21:07,520 --> 00:21:11,340 +distribution is well known, we can proceed as we + +297 +00:21:11,340 --> 00:21:13,940 +do for calculating the electric field discussed + +298 +00:21:13,940 --> 00:21:17,960 +before بيقول إذا الأشكال مقلوفة إلك، إيش هو الملوف + +299 +00:21:17,960 --> 00:21:23,440 +لكم؟ الـ rod ملوف أو مش ملوف؟ و الـ disk؟ و الـ ring؟ + +300 +00:21:23,440 --> 00:21:26,660 +هدول السهلين اللي حلتهم أنا بالمجال كربائي بتعرف + +301 +00:21:26,660 --> 00:21:30,970 +تاخد رصد للـ ring ولا لأ؟ الـ disk إيش عنصرها؟ ring + +302 +00:21:30,970 --> 00:21:34,270 +يعني أنا ماعرفهم صاروا مرين بيقولوا إذا هذا الكلام + +303 +00:21:34,270 --> 00:21:37,290 +صار اعمل زي ما كنت أعمل في المجال الكهربائي ايه + +304 +00:21:37,290 --> 00:21:41,230 +كنت أعمل في المجال الكهربائي؟ كنت أختار عنصر؟ كده + +305 +00:21:41,230 --> 00:21:44,730 +الشحنات للعنصر؟ دي كيو بعد كده كنت أجيب المجال أنا + +306 +00:21:44,730 --> 00:21:49,810 +ايش بدي أجيب؟ الجهود DV بيقولي بعد كده finding the + +307 +00:21:49,810 --> 00:21:53,810 +potential DV due to this element ده element واحد و + +308 +00:21:53,810 --> 00:21:56,230 +بعد كده بعد كده احنا نسوي و ده كامل هنا قبل ما + +309 +00:21:56,230 --> 00:21:58,730 +كامل حاطة الملاعظة هنا مافيش ملاحظة لإنها بتتعامل + +310 +00:21:58,730 --> 00:22:01,790 +مع scalars صح ولا لأ يعني ده بتتطلع لأ على + +311 +00:22:01,790 --> 00:22:07,210 +directions ولا على حاجة بعد كده بيقولي and then + +312 +00:22:07,210 --> 00:22:09,370 +integrating over the entire child distribution + +313 +00:22:09,370 --> 00:22:14,360 +وكامل بطلع الجواب فيش أسهل منه طيب طب و اذا لاقي + +314 +00:22:14,360 --> 00:22:17,800 +الشكل مش مشهور و بغلبني بقولي برضه في عندك طريقة + +315 +00:22:17,800 --> 00:22:21,300 +تانية بقولي if the electric field of that charge + +316 +00:22:21,300 --> 00:22:24,400 +distribution can't be calculated easily اذا عندك + +317 +00:22:24,400 --> 00:22:29,140 +الشكل غلبك لكن في حالة ان المجال تعرف تجيبه بسهولة + +318 +00:22:29,140 --> 00:22:32,900 +بسطر نص سطر وهذا متاتاش إلا إذا كان قانون جرسي عن + +319 +00:22:32,900 --> 00:22:37,000 +طبيقة انك تجيبه بسطربقوليش مانعت easily بقولك + +320 +00:22:37,000 --> 00:22:39,960 +using gauss law for instance إذا تقدر تطبق عليها + +321 +00:22:39,960 --> 00:22:41,760 +قوانين gauss قوانين gauss فانت تتطبق عليها على + +322 +00:22:41,760 --> 00:22:45,780 +ثلاث أنواع، ذاكرينها؟ إذا هذا الحل يعني ايه انت + +323 +00:22:45,780 --> 00:22:49,340 +جبته، جالي ارجع لأصل القانون، إيش هو أصل القانون؟ + +324 +00:22:49,340 --> 00:22:52,580 +بقولك هي أصل القانون، V عند نقطة تساوي السيارة + +325 +00:22:52,580 --> 00:22:55,320 +المالة نهارة من نقطة P، E بوتد ديالها، جت ايه؟ + +326 +00:22:55,320 --> 00:22:58,120 +انجابت ولا مانجابتش؟ شرطها مانجابت، خلاص بصير + +327 +00:22:58,120 --> 00:23:02,170 +التكامل عادة سهل التعامل معاه إن هذه الطريقة أو هذا + +328 +00:23:02,170 --> 00:23:06,350 +الطريقة و حسب الشكل و احنا هتصير مفهومين ضمنها + +329 +00:23:06,350 --> 00:23:10,510 +نبدأ بالطريقة الأولى الأشكال الحلوة اللي اتعرفنا + +330 +00:23:10,510 --> 00:23:16,730 +عليها بيقول a wire of length L Has a tragic U + +331 +00:23:16,730 --> 00:23:21,510 +uniformly distributed يعني Lambda ثابتة uniformly + +332 +00:23:21,510 --> 00:23:26,030 +distributed طبعا Lambda اخترت لأنه لعي طبعا Find + +333 +00:23:26,030 --> 00:23:28,250 +the electric potential at a point along its axis + +334 +00:23:28,250 --> 00:23:31,730 +and a distance a from one end ايه ولا دي انا + +335 +00:23:31,730 --> 00:23:36,830 +عاملها ولا انا عارف طبعا + +336 +00:23:36,830 --> 00:23:41,370 +الذاكرين نقطة في المجال هنا صح في المجال اللي فوق + +337 +00:23:41,370 --> 00:23:45,210 +كانت النقطة هنا طبعا لو أخدنا نقطة فوق حصير في + +338 +00:23:45,210 --> 00:23:49,010 +صعوبة في المجال الـ directions وإذا كنتوا ذاكرين أو + +339 +00:23:49,010 --> 00:23:52,250 +مش ذاكرين إذا كنتوا حالين في الابتعاد في سؤال + +340 +00:23:52,250 --> 00:23:57,180 +النقطة في النص فوق هنا صح ولا لأ؟ كان المفروض انك + +341 +00:23:57,180 --> 00:24:01,000 +تحلها طبعا كل ما اتغيرت النقطة شباب بالنسبة للمجال + +342 +00:24:01,000 --> 00:24:05,900 +معضلة لأن الـ directions بتغير صح الجهد لأ الجهد + +343 +00:24:05,900 --> 00:24:08,860 +وين ما بتحطها بتلاقي الأمور أسهل شوف واحد طلع + +344 +00:24:08,860 --> 00:24:13,260 +النقطة فوق كان بيدأ اشتغل قال اشتغل زي ما اشتغلت + +345 +00:24:13,260 --> 00:24:18,240 +في المجال واتميزي تسويه بيقولي we divide the wire + +346 +00:24:18,240 --> 00:24:23,220 +الأحمر into small elements each of length dx and + +347 +00:24:23,220 --> 00:24:28,360 +charge dq دي اكس عشان هو محور الصيني هال .. هال + +348 +00:24:28,360 --> 00:24:32,700 +شفتوا عنصر كيف؟ عنصري أنا عارف جدش احنا تقولنا؟ دي + +349 +00:24:32,700 --> 00:24:37,300 +كيو و طوله دي اكس اختارته عنصر الخطوة التالية تبقى + +350 +00:24:37,300 --> 00:24:39,820 +عن عنصر اللي اختارته ممكن اعتبره point ولا مش + +351 +00:24:39,820 --> 00:24:43,640 +ممكن؟ point point و الـ point بقدر أديه بجهد ل + +352 +00:24:43,640 --> 00:24:51,200 +point A KQ على RV بيتساوي KQ over R هي قانون الـ + +353 +00:24:51,200 --> 00:24:54,420 +point هو أنا أخدت أنصر عشان ارجع أطبق عليه جاني + +354 +00:24:54,420 --> 00:24:57,080 +يجيب جهده الآن على اعتبار المسافة هذه اعتبارها X + +355 +00:24:57,080 --> 00:25:05,960 +جديش جهد DQ شباب الجهد بالنسبة للأنصر KDQ على X + +356 +00:25:08,890 --> 00:25:12,210 +Since each element can be considered as a pointed + +357 +00:25:12,210 --> 00:25:15,070 +charge, the electric potential اللي بدي يصير رمزه + +358 +00:25:15,070 --> 00:25:18,750 +DV عشان انه جايب هذا العنصر, due to one of these + +359 +00:25:18,750 --> 00:25:21,950 +elements a distance x-r of B is + +360 +00:25:27,910 --> 00:25:32,790 +تمام احنا ماشي بنشتغل .. اه البعد R تمام KDQ على R + +361 +00:25:32,790 --> 00:25:37,090 +.. حلو؟ KDQ على R .. R بقدر يجيبها من FIFA Worlds + +362 +00:25:37,090 --> 00:25:42,070 +ولا لا؟ بقدر يجيبها .. طلعناها .. مدهن .. هذا + +363 +00:25:42,070 --> 00:25:45,390 +العنصر .. إيش بدي أسوي الآن؟ ذاكت كامل .. بدي أطلع + +364 +00:25:45,390 --> 00:25:49,130 +على الـ direction؟ هو ميزة كبيرة، مش طبعا عادلش، لو + +365 +00:25:49,130 --> 00:25:53,030 +حد بتجيب المجال، كما قلت المجال هي اتجاهه، طب غير + +366 +00:25:53,030 --> 00:25:57,310 +العنصر، اتغير المجال، اتجاهه، طب احط العنصر هنا، + +367 +00:25:57,310 --> 00:26:00,350 +اتغير الاتجاه، وبالتالي كيبك السوي، كيبك تحلي + +368 +00:26:00,350 --> 00:26:02,390 +المراقبة الصينية و المراقبات الصادرية، هنا مافيش + +369 +00:26:02,390 --> 00:26:05,690 +كل هذا كلام، انت جبت الجهد، بعدين يقولك القطة + +370 +00:26:05,690 --> 00:26:10,450 +التالية، التكامل مباشرة، بعد ما جبت DV، إيش تكامل + +371 +00:26:10,450 --> 00:26:16,110 +الـ DV؟ هذه المدكية كامل دي دي بتطلع لك V كلها بيقول + +372 +00:26:16,110 --> 00:26:20,690 +since we are dealing with a scalar + +401 +00:28:25,500 --> 00:28:28,940 +تمام؟ زي ما قلت لكم احنا بنحس مش كيف يجي التكامل، + +402 +00:28:28,940 --> 00:28:35,160 +لكن هذا مشهور بتلاقوه بهذا الشكل، بتجيبوه، أعطوه + +403 +00:28:35,160 --> 00:28:37,940 +بالامتحان، ما بقول لك أنا في جدول في كتاب الـ calculus + +404 +00:28:37,940 --> 00:28:41,600 +عشان أقول لك ما تحفظهوش، هي إنك تلاقي في كل كتاب + +405 +00:28:41,600 --> 00:28:44,620 +calculus في الجدول ده بيحطوا بعض التكاملات، تمام؟ وهذا + +406 +00:28:44,620 --> 00:28:48,890 +منهم طبعا أنا بس بجرد حاجة بتتكامل عوارق من صفر + +407 +00:28:48,890 --> 00:28:54,290 +اللي قيل وطلع بهذا الشكل طبعا من جرد شغل إنه لمضى + +408 +00:28:54,290 --> 00:28:57,250 +بالساعة Q على L وطلع الجواب، مش المهم إن أنا عندي + +409 +00:28:57,250 --> 00:29:01,190 +جواب، المهم الطريقة اللي تعاملت معها، أخدت عنصر + +410 +00:29:01,190 --> 00:29:06,190 +جيبت جهده للعنصر وكملت حدود التكامل بدي أفهمها + +411 +00:29:06,190 --> 00:29:08,950 +بشوف المتغير، بشوف العنصر من وين بدّه يبدأ ومن وين + +412 +00:29:08,950 --> 00:29:12,350 +بدّه يخلص، وهذا المتغير إيش بدّه يصير أول قيمة له + +413 +00:29:12,350 --> 00:29:20,440 +وأخر قيمة له، تمام، هذه معروفة كمان مثال بيقول الـ + +414 +00:29:20,440 --> 00:29:25,440 +ring أخذنا جبه كده ولا لأ؟ أخذنا برضه مشهور well + +415 +00:29:25,440 --> 00:29:28,970 +known of radius capital R has a uniform charge + +416 +00:29:28,970 --> 00:29:33,950 +distribution of magnitude capital Q. Calculate the + +417 +00:29:33,950 --> 00:29:37,710 +electric potential along the axis of the ring at a + +418 +00:29:37,710 --> 00:29:40,950 +point P lying a distance d from the center of the + +419 +00:29:40,950 --> 00:29:41,090 +ring. + +420 +00:29:53,630 --> 00:29:57,810 +Again, we divide the wire into small elements each + +421 +00:29:57,810 --> 00:30:00,290 +of which execute شوف أنا سميت wire هنا ماهو wire + +422 +00:30:00,290 --> 00:30:06,250 +بفهمتني صح ولا لأ؟ ماهو wire هاي عنصري شفته الأحمر + +423 +00:30:06,250 --> 00:30:12,970 +الغامق تمام، بعد ما جبت العنصر بدي أجيب DV له، DV + +424 +00:30:12,970 --> 00:30:17,790 +عشان أجيب DV بدي هذه المسافة صح ولا لأ؟ اتبع غرار + +425 +00:30:18,850 --> 00:30:21,050 +Each element can be considered as a point of + +426 +00:30:21,050 --> 00:30:24,590 +charge, صحيح؟ So, the electric potential dV due to + +427 +00:30:24,590 --> 00:30:30,730 +one of these elements at B is Kdq على R صحيح؟ + +428 +00:30:30,730 --> 00:30:35,110 +مكرر، خطوات مكررة، طب R، تقدر تجيب قيمتها R برضه + +429 +00:30:35,110 --> 00:30:38,990 +في الـ course، بيساوي جزء التربيع إلى R² plus D²، + +430 +00:30:38,990 --> 00:30:43,930 +صحيح ولا لأ؟ وهذا إيه؟ إيش الخطوة بعدها؟ كامل + +431 +00:30:44,540 --> 00:30:49,300 +ولما تكامل طبعا كل ثابت بطلع برا بيقول لك دي مثل هذه + +432 +00:30:49,300 --> 00:30:54,560 +طبعا على المقام شباب ثابت + +433 +00:30:54,560 --> 00:31:01,080 +إيش بتردوا؟ هو التكامل دي Q إيش تكاملها؟ شوفوا مثل + +434 +00:31:01,080 --> 00:31:04,720 +هذا السؤال الصغير بيقول integrating with all + +435 +00:31:04,720 --> 00:31:10,960 +constants are taken out of the integral we get + +436 +00:31:13,530 --> 00:31:18,550 +طبعا احنا بنعملش .. طبعا ما في عندي أنا أي مشكلة هي + +437 +00:31:18,550 --> 00:31:22,750 +العناصر عشان أعرف إنه احنا عصرنا .. بكامل بالظبط + +438 +00:31:22,750 --> 00:31:25,650 +زي هي تصير شباب، التكامل أنا بكامل وكإن أنا بجمع + +439 +00:31:25,650 --> 00:31:28,770 +جميع العناصر هذه، هي معناه التكامل بجمع جميع + +440 +00:31:28,770 --> 00:31:33,350 +العناصر، هذي الطول ماهي لا ش هذي دي بتتغير، وقبط الـ + +441 +00:31:33,350 --> 00:31:38,420 +R يعني هذي ثابت، صح إذا ما حكم، مظبوط ولا لأ؟ حدثها + +442 +00:31:38,420 --> 00:31:42,240 +بالصح طول ما هي ماشية، لا R غيرت ولا دي اتغيرت + +443 +00:31:42,240 --> 00:31:45,760 +لإن دي محصورة بين مقاطعين ثابتتين أصلا، والعنصر وهو + +444 +00:31:45,760 --> 00:31:49,500 +ماشي، لا اتغيرت الدي ولا اتغيرت نصف القطر، وبالتالي أنا + +445 +00:31:49,500 --> 00:31:53,800 +كل ثابت بيطلع برا، فخلينا نعمل هالـ .. طبعا احنا ممكن + +446 +00:31:53,800 --> 00:31:56,450 +نقول من صفر لـ capital Q، ذاكرين؟ وإن لو بدنا نشغل + +447 +00:31:56,450 --> 00:31:58,690 +calculus نقول من Zero لـ Capital Q لو بدنا نشغل + +448 +00:31:58,690 --> 00:32:01,990 +calculus نقول DQ ماهي Capital Q، بس هنا عشان واحد + +449 +00:32:01,990 --> 00:32:05,150 +طبخها ويقول خليها تكون حلوة يعني مش أكثر عامة لو + +450 +00:32:05,150 --> 00:32:08,350 +أنا ما حطيتش من Zero لـ Capital Q، ويتكامل DQ بالساوي + +451 +00:32:08,350 --> 00:32:15,610 +Capital Q صح؟ لأن الـ Total Q هي Capital Q تمام هذه + +452 +00:32:15,610 --> 00:32:18,590 +كلها هي Q تمام + +453 +00:32:24,520 --> 00:32:28,620 +طبعا المرة دي كان المجال عند الـ center تبع الـ ring + +454 +00:32:28,620 --> 00:32:33,200 +كده؟ Zero، طب هل يجي عند الـ center هذي تطلع Zero؟ + +455 +00:32:33,200 --> 00:32:39,520 +ما تطلعش، بتطلع حد يسوي سفينة وطلع هيك؟ هذي بتشبه + +456 +00:32:39,520 --> 00:32:45,260 +الـ point بيقول لك هذي وكأنها الـ ring صارت نقطة و + +457 +00:32:45,260 --> 00:32:50,070 +صارت نقطة وين؟ على الـ center صح؟ ساعة الـ ring كلها هو + +458 +00:32:50,070 --> 00:32:54,450 +كده في الـ center تمام، المهم بتيجي عندي أو خلينا + +459 +00:32:54,450 --> 00:32:56,870 +نلعب معاكة تانية خلينا نرجعها نريكم كيف جت هذه + +460 +00:32:56,870 --> 00:33:03,330 +تلعب بيقول لك هو أنت مش هذي عدة عناصر لو اعتبرتهم + +461 +00:33:03,330 --> 00:33:08,010 +مية تمام، ويجيب جهد بيقول الجهد بالثانية كيه كيه + +462 +00:33:08,010 --> 00:33:12,300 +واحد على الار واحد كداش على الار واحد، شباب أنت النقطة + +463 +00:33:12,300 --> 00:33:15,240 +عندك على الـ center، هجيت النقطة على الـ center أخدت عنصر + +464 +00:33:15,240 --> 00:33:22,580 +جدش البعد بين العنصر والـ center capital R زائد KQ2 + +465 +00:33:22,580 --> 00:33:30,560 +يعني أنت بتقول V بتساوي KQ1 على capital R زائد Q2 + +466 +00:33:30,560 --> 00:33:35,980 +على capital R زائد Q3 على capital R هكذا صح أو لا؟ + +467 +00:33:35,980 --> 00:33:39,720 +capital R طيب، اطلع مرة، طب Q1 و Q2 و Q3 مش كلها + +468 +00:33:39,720 --> 00:33:44,140 +capital Q هي اللي طلعت معايا تمام؟ إذا الجواب كان + +469 +00:33:44,140 --> 00:33:54,720 +منطقي أصلا اللي أنا حكيته طبيعي تمام، كمان مثال a + +470 +00:33:54,720 --> 00:33:59,570 +disk of radius capital R، a disk of radius capital R + +471 +00:33:59,570 --> 00:34:06,550 +has a uniform charge density sigma. Calculate the + +472 +00:34:06,550 --> 00:34:09,950 +electric potential along the axis of the disk at a + +473 +00:34:09,950 --> 00:34:12,590 +point P lying a distance capital D from the center + +474 +00:34:12,590 --> 00:34:16,010 +of the disk، كمان مرة يا شباب هذه نسقطرها capital R + +475 +00:34:16,010 --> 00:34:17,170 +وبدي الجهد عند نقطة D + +476 +00:34:24,250 --> 00:34:27,390 +طيب، جهد العنصر للـ ring جبته تو أنا وياكم ولا لأ؟ + +477 +00:34:27,390 --> 00:34:33,530 +جاهز .. هذا طبعا حكينا إله نسقط وإله سموك، نفس + +478 +00:34:33,530 --> 00:34:38,930 +القضية، from the results of the previous example أنا + +479 +00:34:38,930 --> 00:34:43,450 +بدي DV، DV هي جهد الـ ring، وجهد الـ ring عملته بالـ + +480 +00:34:43,450 --> 00:34:48,930 +previous example، فبدي أخد جواب DV بتساوي K بدل Q + +481 +00:34:48,930 --> 00:34:54,570 +حط DQ، وبدل A حطي اسمه R، وهاي جواب تبعي، هاي DV + +482 +00:34:54,570 --> 00:35:00,930 +بقول بعد كده كامل، هل المقام ثابت؟ لأ، لأن المقام فيه + +483 +00:35:00,930 --> 00:35:05,030 +small r، و small r تابع للعنصر، وكل عنصر نصف قطر + +484 +00:35:05,030 --> 00:35:08,950 +ومختلف عن العنصر الآخر، إذا المقام ثابت، طيب بلاش + +485 +00:35:08,950 --> 00:35:14,450 +خلي جوا كامل بيقول لك بعشرة كامل بدي علاقة بالـ DQR + +486 +00:35:14,450 --> 00:35:22,010 +سيجما، ذاكرين مساحة الـ ring لما جثتها بالمجث فردتها + +487 +00:35:23,460 --> 00:35:28,600 +2πR × dr طول في العرض، الSigma، فـ dA بيساوي 2πR dr + +488 +00:35:28,600 --> 00:35:32,180 +إذا برضه أخذتها، شوف العملية كيف أصبحت سهلة إنه أنا + +489 +00:35:32,180 --> 00:35:37,920 +مرض عليها قبل كده تمام؟ Using the relation between + +490 +00:35:37,920 --> 00:35:46,100 +DQ and R، i.e., DQ بيساوي Sigma dA هذا بيعرفها و dE + +491 +00:35:46,100 --> 00:35:50,640 +بيساوي 2πR dr اللي توي حكيته عنها، إذا أصلا عندي + +492 +00:35:50,640 --> 00:35:55,300 +طبعا من صفر لكابيتال R عارفينها الآن حدودها أنا + +493 +00:35:55,300 --> 00:36:00,060 +راسمها، مش راسمها هنا شايفين الـ ring هذي ring واحدة + +494 +00:36:00,060 --> 00:36:03,860 +عشان تكون الـ ring تغطيهم كلها بتكون أصغر ring وأكبر + +495 +00:36:03,860 --> 00:36:07,680 +ring، أول ring أنتاجتها بـ zero، وأكبر ring + +496 +00:36:07,680 --> 00:36:11,000 +كابيتال R، عشان كده الحدود التكامل طلعت معايا بهذا + +497 +00:36:11,000 --> 00:36:15,300 +الشكل، طبعا هذا تكامل فيه سهل لأن هذي dU وهذي U + +498 +00:36:15,980 --> 00:36:20,880 +هذه dU وهذه U فببضع خطوات اعملها هيك و بجمحها بتظهر + +499 +00:36:20,880 --> 00:36:24,940 +بهذا الشكل، برضه جهار الإجابات ما في عندي أي + +500 +00:36:24,940 --> 00:36:30,820 +إشكالية في الـ SSR، شباب، اللي أمثلة تلاتة أمثلة مقررة + +501 +00:36:30,820 --> 00:36:36,210 +بس شفتوا أنتو طبعا سهلت عشان اتكررت لكن برضه الـ + +502 +00:36:36,210 --> 00:36:39,590 +calculation تبعها سهل لأنها scalars، ذاكرين أنتو + +503 +00:36:39,590 --> 00:36:42,530 +لما اشتغلنا على الـ ring واحنا بنجيب المجال اضطررنا + +504 +00:36:42,530 --> 00:36:45,650 +نعمل symmetry، والـ y component تتغير والـ x + +505 +00:36:45,650 --> 00:36:49,090 +component ينحى، فهذا كل الموال، لازمنا مرة هذه + +506 +00:36:49,090 --> 00:36:53,970 +ما لازمناش لأنه أنا بتعامل مع scalars بقول لك جيب عصر + +507 +00:36:53,970 --> 00:36:58,760 +جيب جهد العصر كامل بدون ما تعمل شيء على طول، إذاً + +508 +00:36:58,760 --> 00:37:04,420 +العملية كثير بتكون سهلة، الآن الطريقة التانية + +509 +00:37:04,420 --> 00:37:09,300 +بيقول لك لو كان عندك الشكل صعب وأجهرت الـ JPE + +510 +00:37:09,300 --> 00:37:12,200 +استخدم الطريقة التانية، شوف هو المثال يا شباب + +511 +00:37:12,200 --> 00:37:17,380 +بيقول لي I'm insulating solid sphere, insulating + +512 +00:37:17,380 --> 00:37:21,420 +solid sphere، طبعا جوا الشحنات موجودة ولا مش + +513 +00:37:21,420 --> 00:37:24,920 +موجودة؟ لأنها insulating مش conductor، السفير + +514 +00:37:24,920 --> 00:37:26,340 +السليماني السليماني السليماني السليماني السليماني + +515 +00:37:26,340 --> 00:37:27,200 +السليماني السليماني السليماني السليماني السليماني + +516 +00:37:27,200 --> 00:37:27,620 +السليماني السليماني السليماني السليماني السليماني + +517 +00:37:27,620 --> 00:37:29,740 +السليماني السليماني السليماني السليماني السليماني + +518 +00:37:29,740 --> 00:37:31,000 +السليماني السليماني السليماني السليماني السليماني + +519 +00:37:31,000 --> 00:37:36,740 +السليماني السليماني السليماني السليماني السليماني + +520 +00:37:36,740 --> 00:37:40,100 +السليماني السليماني السليماني السليماني السليماني + +521 +00:37:40,100 --> 00:37:41,240 +السليماني السليماني السليماني السليماني السليماني + +522 +00:37:41,240 --> 00:37:48,000 +السليماني السليماني السليماني السليماني + +523 +00:37:54,250 --> 00:37:57,970 +طيب أخد عنصر هأجي و الله بتورط لو أخدت عنصر، لأن إيش + +524 +00:37:57,970 --> 00:38:00,930 +عنصر هذا بدك تاخد عنصر إما في three dimensions أو لو + +525 +00:38:00,930 --> 00:38:04,850 +عنصر هيكون عندك disk، الكرة عبارة عن عدة disks بس + +526 +00:38:04,850 --> 00:38:08,150 +كل disk أكبر من الثاني بشوية صح ولا لأ؟ عشان تجيب + +527 +00:38:08,150 --> 00:38:12,050 +كرة، أنت تجيب disks صغيرة ثم تكامل تكامل تكامل لما + +528 +00:38:12,050 --> 00:38:16,590 +تصير عندك النص التحتاني بعدين تتعود تصغر disks وتجيبهم + +529 +00:38:16,590 --> 00:38:21,370 +صح ولا لأ؟ تصير عندك كرة، فالعنصر تبع الـ + +530 +00:38:21,370 --> 00:38:27,270 +sphere هو disk، الـ Discriminator برضه غلب إنك تجيبه + +531 +00:38:27,270 --> 00:38:30,830 +وبعدين تكامل فخليني أحله بطريقة تانية، قال لك هدف + +532 +00:38:30,830 --> 00:38:34,270 +من تطبيق أي قانون جوزه ولا لأ؟ إذا أسهل إنك تجيب إيه + +533 +00:38:34,270 --> 00:38:38,230 +إذا بدي أحله بطريقة هذه شباب بقول هذه الـ sphere + +534 +00:38:38,230 --> 00:38:44,090 +solution for outside the sphere we have، هذه النقطة + +535 +00:38:44,090 --> 00:38:46,970 +إلى أن تلعب شباب أنا بدي أجيب الجهد عند النقطة اللي + +536 +00:38:46,970 --> 00:38:50,450 +أنتو شايفينها اللي تبعد مسافتها R، قال لي ده تاخد + +537 +00:38:50,450 --> 00:38:55,350 +عنصر وتكامل حالك تستخدم هذا القانون، مش هدا + +538 +00:38:55,350 --> 00:39:00,950 +القانون؟ إيه اللي جوا المتكامل؟ إيه اللي بدك إيها؟ + +539 +00:39:00,950 --> 00:39:05,210 +هل عنده نقطة؟ + +540 +00:39:05,210 --> 00:39:10,750 +مش اتفقنا التكامل هو .. جماعة لما يقول لك تكامل من + +541 +00:39:10,750 --> 00:39:15,060 +هذه الحيطة لهذه الحيطة بدي أجمع من وين لوين؟ يعني لو + +542 +00:39:15,060 --> 00:39:18,720 +بدّه هجيت كامل شدة المجال من الحيطة هذه للمجال هذه + +543 +00:39:18,720 --> 00:39:22,440 +للحائط هذه، أي مجال بدّه؟ بدّه كل المجال اللي جوا + +544 +00:39:22,440 --> 00:39:28,060 +صح؟ وهو ماشي إيش بجانب المجال بدّه يا صح ولا لأ؟ زي + +545 +00:39:28,060 --> 00:39:31,660 +طب وإحنا ما كنا نحرك العنصر طول ما هو ماشي بدّه + +546 +00:39:31,660 --> 00:39:35,820 +يحسب أنا لقيته بدّه كامل من الحيط هذه للحائط هذه بدي + +547 +00:39:35,820 --> 00:39:38,940 +المجال عنده النقطة هذي؟ لأ، بدي المجال هنا وهنا و + +548 +00:39:38,940 --> 00:39:41,320 +هنا وهنا وهنا، طب أنا من هنا لين بكامل؟ أقول من + +549 +00:39:41,320 --> 00:39:45,480 +من النهاية لما تصل النقطة به، لذا بدك المجال تبدأ + +550 +00:39:45,480 --> 00:39:50,680 +من من النهاية وتضلك ماشي لما تصلها، المجال هذا + +551 +00:39:50,680 --> 00:39:55,290 +بدك إياه؟ بلزمك؟ ما بلزمكش طيب، وأنت وأنت من المنال + +552 +00:39:55,290 --> 00:39:58,110 +النهاية لما تصل هذه النقطة بتكون برا ولا ما تكونش + +553 +00:39:58,110 --> 00:40:01,550 +برا؟ بتكون برا، إذاً بدك E out ولا ما بدكش E out؟ E + +554 +00:40:01,550 --> 00:40:06,410 +out اللي بيشتغل معك، بدك E out تمام، طيب، من هنا + +555 +00:40:06,410 --> 00:40:09,470 +لهنا بدي، اه هاي اه تمت من المنال النهاية تحت، + +556 +00:40:09,470 --> 00:40:12,850 +شباب، بدي أمشي من المنال النهاية طول ما فيه E هنا، + +557 +00:40:12,850 --> 00:40:17,150 +بدي أجمعه، هاي التكامل شباب، عشان نصفي عنه الـ + +558 +00:40:17,150 --> 00:40:19,710 +sense واضح، مش معناه التكامل، أنا بكامل E dot + +559 +00:40:19,710 --> 00:40:22,490 +الـ DL، الشيء إيه هذه؟ بيقول لك E طول ما أنت ماشي، + +560 +00:40:22,490 --> 00:40:27,160 +بيبقى E جمعهم، إيه مختلفة بيضعوها داخلها، إيه + +561 +00:40:27,160 --> 00:40:31,140 +بتشبهها ضعها، اتخذهم، مش مشكلة تمام، إذا إيه بتديها + +562 +00:40:31,140 --> 00:40:34,900 +من هنا إلى هناك حلو بيقول but إيه here is the + +563 +00:40:34,900 --> 00:40:37,930 +electric field outside the sphere، في كل المنطقة + +564 +00:40:37,930 --> 00:40:42,110 +وأنت ماشي، مش إيه برا بتكون، وأنت إيه برا جبته نفس + +565 +00:40:42,110 --> 00:40:46,810 +المثال هذا قبل هيك جبته قلت أو جد إيه outside the + +566 +00:40:46,810 --> 00:40:50,430 +sphere وجبته بسطر، إذا مجيوبة عندك أو ممكن تقول ده + +567 +00:40:50,430 --> 00:40:55,310 +يعطيك yeah جاهز a given by هيها جبته من المثال + +5 + +601 +00:43:12,370 --> 00:43:15,790 +طبعًا التكامل ما تغيرش يا شباب، هاي قانوني أنا بحط فيه + +602 +00:43:15,790 --> 00:43:20,200 +من منا نهاية لنقطة أخرى بس النقطة هذيك يكون + +603 +00:43:20,200 --> 00:43:26,340 +جوا حلو يرسم هي النقطة شباب هي النقطة هي اللي أنا + +604 +00:43:26,340 --> 00:43:30,840 +بدي المجال إن هو من منا نهاية للنقطة في عندي + +605 +00:43:30,840 --> 00:43:35,220 +شغلتين الآن من منا نهاية لهنا في مجال ومن هنا + +606 +00:43:35,220 --> 00:43:39,500 +لهنا في مجال مختلف صح ولا لأ؟ بصحيلي أحطهم مرة + +607 +00:43:39,500 --> 00:43:42,880 +واحدة بيقولي بصحيلي cash إيش يسوي؟ بيقولي but in + +608 +00:43:42,880 --> 00:43:47,740 +this case انتبهوا سؤال بتكرر مرات وبيدلوا حدين + +609 +00:43:47,740 --> 00:43:52,420 +بيه إذا فاهم التكامل مش فاهم كامل فاهمش مع التكامل + +610 +00:43:52,420 --> 00:43:55,700 +تمام؟ but in this case the range from infinity to + +611 +00:43:55,700 --> 00:44:00,520 +the point in question includes two regions with + +612 +00:44:00,520 --> 00:44:04,200 +different electric fields طلع شباب the outside + +613 +00:44:04,200 --> 00:44:08,570 +region هاي من هال لهانهذه المنطقة كلها outside ولا + +614 +00:44:08,570 --> 00:44:13,610 +مش outside وصلت النقطة لسه موصلش مخلصتش يصير + +615 +00:44:13,610 --> 00:44:18,730 +تكاملين غصب عني the outside region which is + +616 +00:44:18,730 --> 00:44:22,830 +extended من وين حدودها من منا نهاية بتخلص على الحد + +617 +00:44:22,830 --> 00:44:30,470 +صح لـ capital R طيب والتانية من هالهالوانا ماشي هيك + +618 +00:44:30,470 --> 00:44:34,050 +بدي اللي برا أو اللي جوا؟ بدي اللي جوا وأنا ماشي + +619 +00:44:34,050 --> 00:44:37,990 +من هنا لهنا أي مجال بدي اللي جوا صاروا أنا بدي + +620 +00:44:37,990 --> 00:44:42,530 +أجمع مرة اللي برا ومرة اللي جوا and the inside + +621 +00:44:42,530 --> 00:44:45,110 +region which extended from capital R to small r + +622 +00:44:45,110 --> 00:44:48,530 +إيش معناه يا شباب؟ بيقولوا therefore we have to + +623 +00:44:48,530 --> 00:44:52,610 +divide the integration into two parts هدا هي روح + +624 +00:44:52,610 --> 00:44:58,230 +اتجسمت كيف يعني؟ خلّيني أقول لكم التالي نفترض أن أنا + +625 +00:44:58,230 --> 00:45:02,950 +بدي أجمعخلّيني أقول شغلات موجودة في هذه الغرفة + +626 +00:45:02,950 --> 00:45:10,990 +تمام هنا في شمام وهنا في خياط وهنا في تفاح يجيب + +627 +00:45:10,990 --> 00:45:13,930 +لي إجمع بفعل من أول حيطة لآخر الحيطة وبيقول + +628 +00:45:13,930 --> 00:45:18,830 +بيسوي خمسميت وأجف بعد كده خمسميت إيش؟ بتعرف تقول + +629 +00:45:18,830 --> 00:45:23,050 +خمسميت إيش؟ بتعرفش ليش ما عرفتش؟ لأن الأنواع + +630 +00:45:23,050 --> 00:45:26,690 +مختلفة صح؟ إيش تسوي؟ بيقول إجمع من هالهال بس + +631 +00:45:26,690 --> 00:45:31,950 +بتجمع هدول اللي بفتخ لحاله وأجمع من هنا لهنا دي + +632 +00:45:31,950 --> 00:45:34,770 +معاك الخيار لحاله وأجمع من هنا لهنا دي معاك + +633 +00:45:34,770 --> 00:45:38,430 +التفاح لحاله ساعة بتقول عندي خمسين تفاحة وثلاثين + +634 +00:45:38,430 --> 00:45:43,150 +شمامة وثلاثين خيارة شمام تمام؟ إذا أنا اكتسبت + +635 +00:45:43,150 --> 00:45:47,810 +الطريقة بجسم التكامل لما يكون المجموع مش نفس الشكل + +636 +00:45:47,810 --> 00:45:50,910 +صح ولا لأ؟ لما تقدرش تجمع من أول غرفة لآخر و أول + +637 +00:45:50,910 --> 00:45:53,470 +غرفة تجمع تجمع تجمع تطلع عندك ثلاثمية وبعدين + +638 +00:45:53,470 --> 00:45:56,970 +تعرفش تحط التمييز ثلاثمية إيش؟ تعرفش هنا نفس + +639 +00:45:56,970 --> 00:46:03,180 +العملية أنت بتجمعللنقطة هذه طب يالا أجمع دي بـ E طب + +640 +00:46:03,180 --> 00:46:06,220 +من هنا لها في E ومن هنا لها في E مختلف إيش تأخذ E + +641 +00:46:06,220 --> 00:46:08,980 +تأخذ E البرا ولا اللي جوا إذا خدت البرا اللي جوا + +642 +00:46:08,980 --> 00:46:13,400 +زعل وإذا خدت اللي جوا زعل اللي برا زعل كثير لأن + +643 +00:46:13,400 --> 00:46:17,500 +حصّه كبير له صح ولا لأ إذا معناته عشان أُحل هذا + +644 +00:46:17,500 --> 00:46:22,720 +الإشكال واحد ياخذ حصته اللي برا دي حصته منطقة اللي + +645 +00:46:22,720 --> 00:46:26,660 +برا من هنا إيها وين بتخلص البرا لكابة العار واللي + +646 +00:46:26,660 --> 00:46:29,360 +جوا ياخذ حصتهبتبدأ من كامة الأعلى، بتنتهى ده + +647 +00:46:29,360 --> 00:46:33,600 +النقطة ولا لأ؟ إذا لما يختلف الجنس، بدي أجسم + +648 +00:46:33,600 --> 00:46:35,960 +التكامل غصب العالم، لأن أنا هجيت.. أنا هو هتجيلك + +649 +00:46:35,960 --> 00:46:38,240 +بصورة إجمالية، أنتو أخدتوا في الكالكولاس، شوفوا + +650 +00:46:38,240 --> 00:46:42,460 +إيش معاناة الكالكولاس، لما أقولك من A لـ B، بالساوة + +651 +00:46:42,460 --> 00:46:48,780 +من A لـ C زائد من C لـ B، أخدتوا هاذي؟ مش هعطيوا الـ C + +652 +00:46:48,780 --> 00:46:52,430 +لكل جوه ولا لأ؟ بينهم وأنا لما أجمع من الحياطة هذه + +653 +00:46:52,430 --> 00:46:55,690 +للحياطة هذه بينفع أجمع من هالهان وأتعب وأقول + +654 +00:46:55,690 --> 00:46:59,190 +بترتاح وبعدين أسأنف من هالهان ولا لأ اه يعني لو + +655 +00:46:59,190 --> 00:47:02,910 +واحد يجمع.. بقولك اجمع خمسين شغلة بقولك اجمع أول + +656 +00:47:02,910 --> 00:47:04,870 +خمسة وعشرين وبعدين أجمع خمسة وعشرين وبعدين + +657 +00:47:04,870 --> 00:47:07,870 +أجمعهم مع بعض لذا لما بدي أجسم إذا جمع ما هو + +658 +00:47:07,870 --> 00:47:10,990 +تهاروض ياخذوا كيف يجسموا الجامع بينفع لو واحد يجسم + +659 +00:47:10,990 --> 00:47:14,750 +والتكامل بتجسم هو نفسه ما هو الجامع بدي مديم + +660 +00:47:14,750 --> 00:47:19,790 +المنطقة من أول لآخرهابتلفع في كل الأحوال لكن + +661 +00:47:19,790 --> 00:47:23,990 +ضرورية إذا كان المجموع مختلف لو المجموع مش مختلف، + +662 +00:47:23,990 --> 00:47:27,290 +لن تتعامل في النتيجة، لكن إذا المجموع مختلف، لازم + +663 +00:47:27,290 --> 00:47:30,670 +تتجسم، بيقول هذا بتتكامل وبتتعامل معاه لحال، وهذا + +664 +00:47:30,670 --> 00:47:34,390 +بتتكامل معاه لحال، وبيشتغل على هذا الأساس، + +665 +00:47:34,390 --> 00:47:37,030 +الأساس أنا الآن، طب هذا بتعرفه، الله الله، طوي + +666 +00:47:37,030 --> 00:47:40,630 +عرفته، مش طوية أو جبناء، طب هذا بتعرفه، بيقول + +667 +00:47:40,630 --> 00:47:44,510 +بشحته، في المثال حلته، لو هذا conductor جدّيشها، دي + +668 +00:47:44,510 --> 00:47:50,480 +بتكون؟ بتكون Zero شباب، لو كانكن بكتر هادي Zero، + +669 +00:47:50,480 --> 00:47:54,790 +بروح فجوري بيستبقى، بتطلع بيبقى السخابةشوفوا إيش + +670 +00:47:54,790 --> 00:47:58,830 +بتفرض لو كان conductor شباب إن أنا بديت التكامل + +671 +00:47:58,830 --> 00:48:04,690 +من مال نهاية لنفط R إيه ذات deal اشتغلت اشتغلت + +672 +00:48:04,690 --> 00:48:07,690 +ساعة لما ينهي وركبت الـ R وها دي لو واحد شوفوا من + +673 +00:48:07,690 --> 00:48:10,010 +إنها ركبت الـ R بطلت من اسمه الـ R مع إن هو أصل + +674 +00:48:10,010 --> 00:48:13,150 +قانون اسمه الـ R ليش؟ لأنه بيقول إن النتيجة الثانية + +675 +00:48:13,150 --> 00:48:16,030 +Zero هذي إذا كان conductor شباب لكن أنا السؤال مش + +676 +00:48:16,030 --> 00:48:19,030 +conductor مش conductor من هذا حصلته في مثال سابق + +677 +00:48:19,030 --> 00:48:21,750 +عشان كده هو جابي المثال هذا بقول يجلب صفحتين + +678 +00:48:21,750 --> 00:48:26,910 +فتلاقي الإجابات هذه موجودة تمامبيقول لي the + +679 +00:48:26,910 --> 00:48:30,110 +electric field outside and inside the sphere given + +680 +00:48:30,110 --> 00:48:34,910 +by هاي E out طلعتها وهاي E in برضه شحتها من المثال + +681 +00:48:34,910 --> 00:48:38,670 +السابق طلعتها أنا وياكم طلعناها احنا وياكم وقال لي + +682 +00:48:38,670 --> 00:48:42,330 +خلاص اشتغل هأجي أتعود طلعت هيك + +683 +00:48:44,770 --> 00:48:48,670 +الـ DL لدُبط الأردنّك في كل حالة تتحول لـ DR مظبوط ولا + +684 +00:48:48,670 --> 00:48:52,010 +لأ فبالتالي بتطلع عندك fake النتيجة وطبعًا كامل + +685 +00:48:52,010 --> 00:48:57,450 +عادي كملته وطلعته بهذا الشكل برضه جواب هذا مش أكثر + +686 +00:48:57,450 --> 00:49:02,230 +VN بتساوي هيك وبتتهيأ المثال Note that the two + +687 +00:49:02,230 --> 00:49:06,790 +expressions are بيقول لي الجهود + +688 +00:49:09,360 --> 00:49:15,100 +برة طلعته فيه بيساوي KQ على R اللي قلت لي بيشبه + +689 +00:49:15,100 --> 00:49:20,860 +القانون وده هو وجوا هيه شباب صح ولا لأ وهاي + +690 +00:49:20,860 --> 00:49:26,860 +الاسفير هاي جوا وهاي برا طيب هذه النقطة بنفع تكون + +691 +00:49:26,860 --> 00:49:31,820 +هنا؟ بنفع جوا أنا مش جوا طيب وهذه بنفع تكون هنا؟ + +692 +00:49:31,820 --> 00:49:37,040 +بنفع برضه برا طيب صاروا جيران صاروا جيران قد إيش بعد + +693 +00:49:37,040 --> 00:49:42,950 +هذه؟ نص الخطر طب ما قلتيش بعض هذه نص الخطر طب تساوم + +694 +00:49:42,950 --> 00:49:46,190 +منطقي إن يكونوا بيساوموا بعض ولا بيساوموش بعض لأن + +695 +00:49:46,190 --> 00:49:51,130 +هم جيران هو نقطة واحدة قال لي احسب قال لي هادي لو + +696 +00:49:51,130 --> 00:49:53,770 +كانت small r بيساومي كبت الارض سيّة النقطة اللي جوا + +697 +00:49:53,770 --> 00:50:00,930 +صارت على السطح ولا لا؟ خُطها هذه صارت واحد ثلاثة + +698 +00:50:00,930 --> 00:50:07,010 +نقص واحد اثنين اثنين صارت أربعة نجي القانون هو + +699 +00:50:07,010 --> 00:50:11,160 +نفسه اللي برا ونفسه اللي برا، إذا صح، يعني اللي + +700 +00:50:11,160 --> 00:50:15,880 +جوا بتنقل إلى اللي برا لما تصير قريب على السطح، + +701 +00:50:15,880 --> 00:50:19,560 +لما التنتين تصيروا جيران، فبقول you note that the + +702 +00:50:19,560 --> 00:50:22,580 +two expressions D1 and D2 give the same results at + +703 +00:50:22,580 --> 00:50:26,580 +A بساويه كبيرة الـ R at the surface which is هذا + +704 +00:50:26,580 --> 00:50:29,840 +الجوابهذه على السطح يعني محقق إن واحد يقول يا + +705 +00:50:29,840 --> 00:50:35,720 +عزيزي جهد على سطح أي كرة بقول KQ على capital R والنقطة بتكون على السطح طب هو شغلها منطقي لأن + +706 +00:50:35,720 --> 00:50:38,080 +النقطتين صاروا نقطة واحدة صاروا جيران كثير و + +707 +00:50:38,080 --> 00:50:40,900 +بالتالي جهد هادي ولا جهد هادي واحد وطلع الجواب + +708 +00:50:40,900 --> 00:50:43,780 +أكيد صح في أي استفسار شبابي الآن؟هذا أنا عندي + +709 +00:50:43,780 --> 00:50:49,460 +طريقتين أحسب الجهد عند نقطة إما العناصر أجسم عنصر + +710 +00:50:49,460 --> 00:50:54,800 +أجيب جهد العنصر أكامل أو أجيب المجال وأستخدم + +711 +00:50:54,800 --> 00:50:58,900 +القانون الأصلي إن الجهد بيساوي التكامل from + +712 +00:50:58,900 --> 00:51:02,340 +infinity to the point E dot DL وهذا متاتش إلى إذا + +713 +00:51:02,340 --> 00:51:06,720 +كان E سهل أجيبها أو أعطاني إياها E وإلّا بعد كده بيصير + +714 +00:51:06,720 --> 00:51:11,340 +مشكلة إن أجيب E وبعدين أكاملها بيصير عندي معضلة + +715 +00:51:11,340 --> 00:51:15,000 +كبيرة تمام + +717 +00:51:20,050 --> 00:51:24,610 +الآن مر عليكم ال conductor الشباب مش أقوله خواص ال + +718 +00:51:24,610 --> 00:51:29,410 +conductor ذاكرين خواص ال conductor الشباب مين + +719 +00:51:29,410 --> 00:51:36,370 +يذاكرني أيامهم هم ثلاثة ثلاث خواص أول حاجة الشحن + +720 +00:51:36,370 --> 00:51:39,870 +أين بتكون أساطير خارجي اللي بتنتج عنها جيبليش + +721 +00:51:39,870 --> 00:51:44,670 +المجال جوا Zero التأثير مجال just outside كيف بتكون + +722 +00:51:44,670 --> 00:51:49,960 +اتجاههعمودي وقد إيش قيمته سيجما على إيبسون نوت هدول + +723 +00:51:49,960 --> 00:51:53,560 +الثلاث خواص هدول ثلاث خواص اشتقنوهم مع بعض for any + +724 +00:51:53,560 --> 00:51:58,620 +conductor طيب بكمل الآن بقول ليه إيش كيف أخبر + +725 +00:51:58,620 --> 00:52:02,340 +الجهود على ال conductors بقول in the previous + +726 +00:52:02,340 --> 00:52:05,580 +chapter الشهرة للماضي we have mentioned some + +727 +00:52:05,580 --> 00:52:08,180 +properties of a conductor in electrostatic + +728 +00:52:08,180 --> 00:52:11,600 +equilibrium with the help of Gauss's law some of + +729 +00:52:11,600 --> 00:52:12,640 +these properties are + +730 +00:52:15,590 --> 00:52:17,570 +The electric field inside the conductor is zero. + +731 +00:52:19,290 --> 00:52:22,510 +The electric field on the surface of the conductor + +732 +00:52:22,510 --> 00:52:26,110 +is perpendicular to the surface. صح؟ طبعًا الأولى + +733 +00:52:26,110 --> 00:52:28,630 +ما هي شحنات على السطح موجودة جابت الثانية. بقولي + +734 +00:52:28,630 --> 00:52:32,310 +now. عند القانون هذا ما أعرفه ولا مش عارفه. + +735 +00:52:38,600 --> 00:52:43,680 +طيب بقول الآن أنت عندك خاصيتين ونيجي نشتغل بقول + +736 +00:52:43,680 --> 00:52:46,660 +if the initial and the final points lie inside a + +737 +00:52:46,660 --> 00:52:52,760 +conductor الثانية جوا هاي conductor شبه هذا وأنا + +738 +00:52:52,760 --> 00:52:56,220 +عندي هاي الـ final وهاي الـ initial هاي initial و + +739 +00:52:56,220 --> 00:53:00,820 +هاي final هاي اللي بدي أطبقها القانون بدي أجمع من + +740 +00:53:00,820 --> 00:53:08,220 +initial لـ final أي electric field بدي من ولا وين من + +741 +00:53:08,220 --> 00:53:14,440 +هال لهال صح؟ من هال لهال فيه مجال؟ ما فيش مجال زيرو + +742 +00:53:15,700 --> 00:53:19,840 +مازالها zero يعني هادي بيساوي هادي هاي معناه zero + +743 +00:53:19,840 --> 00:53:23,900 +صحيح ولا لأ؟ بيقول لي if the initial and the final + +744 +00:53:23,900 --> 00:53:28,040 +points lie inside a conductor and using the first + +745 +00:53:28,040 --> 00:53:31,780 +property اللي بتقول there is no electric field + +746 +00:53:31,780 --> 00:53:35,280 +inside a conductor we conclude that the electric + +747 +00:53:35,280 --> 00:53:38,160 +potential is constant ليش constant؟ يعني هادي + +748 +00:53:38,160 --> 00:53:41,650 +بيبقى بس هادي بيستوى زفر يعني هادي بيستوى هادي و + +749 +00:53:41,650 --> 00:53:45,470 +هتقول أي نقطتين جوا السطح جوا ال conductor أي نقطتين + +750 +00:53:45,470 --> 00:53:48,590 +جوا ال conductor خدهم هتلاقي جهدهم واحد يعني في + +751 +00:53:48,590 --> 00:53:52,570 +عندك خاصية جديدة إن الجهد داخلي ال conductor + +752 +00:53:52,570 --> 00:53:57,010 +بتساوي KQ بتساوي constant وبعدين شوف قائمة قيمتها + +753 +00:53:57,010 --> 00:54:02,350 +بتساوي constant inside a conductor هاي كمان خاصية + +754 +00:54:02,350 --> 00:54:08,900 +رابعةالخاصية الرابعة الهواتف تدفع على السطح الهواتف + +755 +00:54:08,900 --> 00:54:12,180 +الداخلية تدفع إلى 0 الهواتف الداخلية تدفع إلى 0 + +756 +00:54:12,180 --> 00:54:13,020 +الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية تدفع + +757 +00:54:13,020 --> 00:54:14,260 +إلى 0 الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية + +758 +00:54:14,260 --> 00:54:14,680 +تدفع إلى 0 الهواتف الداخلية تدفع إلى 0 الهواتف + +759 +00:54:14,680 --> 00:54:14,940 +الداخلية تدفع إلى 0 الهواتف الداخلية تدفع إلى 0 + +760 +00:54:14,940 --> 00:54:17,760 +الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية تدفع + +761 +00:54:17,760 --> 00:54:19,920 +إلى 0 الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية + +762 +00:54:19,920 --> 00:54:25,730 +تدفع إلى 0 الهواتف الداخليةذاكرين المرة ديك لما ال + +763 +00:54:25,730 --> 00:54:28,970 +ring وإن المجال جوا كان Zero لكن الجهد ما كانش Zero + +764 +00:54:28,970 --> 00:54:32,670 +كان constant صح ولا لأ فمعناته المجال Zero لكن + +765 +00:54:32,670 --> 00:54:37,910 +الجهد مش Zero بيطلع ثابت تمام؟ في برمور في شغل + +766 +00:54:37,910 --> 00:54:43,480 +ثانية بقول لي أنا بدي خليواحد منهم since E is always + +767 +00:54:43,480 --> 00:54:49,260 +normal to DL on + +768 +00:54:49,260 --> 00:54:52,040 +the surface directly potential is also constants + +769 +00:54:52,040 --> 00:54:54,640 +on the surface of the conductor بيقول لي الـ initial + +770 +00:54:54,640 --> 00:54:59,760 +والـ final ما بديش يوم هنا خلي الـ initial هنا وال + +771 +00:54:59,760 --> 00:55:04,080 +final هنا وين النقطتين صاروا الآن؟ على السطح إيش + +772 +00:55:04,080 --> 00:55:07,950 +بدك المجال أنت؟ لين وأنت ماشي على السطح وأنا مش + +7 + +801 +00:57:11,300 --> 00:57:15,560 +نطلع + +802 +00:57:15,560 --> 00:57:17,820 +نجيب السامل اللي كان يلعب توي و اللي بيلعب لها لها + +803 +00:57:17,820 --> 00:57:25,060 +مشاكل بايح جاي في المجال اللي هي قداش هذا + +804 +00:57:25,060 --> 00:57:28,480 +الجهد بيسوي جهد هذا يعني هذا الجهد جوا بيسوي جهد + +805 +00:57:28,480 --> 00:57:33,180 +هذا على السطح إذا الجهد جوا constant and equal to + +806 +00:57:33,180 --> 00:57:37,720 +the potential on the surface قاعدة مفهومة ومعروفة + +807 +00:57:37,720 --> 00:57:43,270 +بقول بدي أثبتها كده مرة بدي اكتبتها كمان مرة و + +808 +00:57:43,270 --> 00:57:47,270 +explicitly و بقوانين نقول to prove this property + +809 +00:57:47,270 --> 00:57:51,190 +explicitly يعني بالتفصيل let us consider a + +810 +00:57:51,190 --> 00:57:53,650 +conducting sphere of radius capital R and its + +811 +00:57:53,650 --> 00:57:58,210 +charge capital Q the electric potential at a point + +812 +00:57:58,210 --> 00:58:01,150 +inside the sphere at a point inside the sphere زي + +813 +00:58:01,150 --> 00:58:05,130 +ما طبعا قلتلكم عنها من ما نهيئة small r a dot of + +814 +00:58:05,130 --> 00:58:10,700 +dl بره غير عن جوه بره من مال نهاية لحدود المنطقة + +815 +00:58:10,700 --> 00:58:13,440 +اللي برا وجوه من بداية حدود المنطقة اللي جوه + +816 +00:58:13,440 --> 00:58:17,760 +للنقطة اللي بدي إياها تمام قدش EN شباب؟ Zero + +817 +00:58:20,480 --> 00:58:24,900 +E in بتساوي Zero و E out هدهيه إذا المعنى تجري + +818 +00:58:24,900 --> 00:58:30,120 +عوّد عوّد بقول يالا عوّد E out نعرفها هدهيه صار + +819 +00:58:30,120 --> 00:58:36,620 +capital Q على أربع باي ي نوع ثوابت تكامل DL.R unit + +820 +00:58:36,620 --> 00:58:41,000 +vector على R تربيع من المنام الهيئة لـ capital R هذه + +821 +00:58:41,000 --> 00:58:47,020 +عبارة عن DR بظبط بيساوي سالب في عندي سالب بيصير + +822 +00:58:47,020 --> 00:58:53,000 +موجب Q على اربعة by اي نوت واحد على R من مانها + +823 +00:58:53,000 --> 00:59:00,480 +لـ capital R طلعت هذه الجهود على السطح ما هي هي + +824 +00:59:00,480 --> 00:59:04,850 +الجهود على السطح هي نفس الجهود على السطح which is + +825 +00:59:04,850 --> 00:59:08,490 +the same the value of the potential at the surface + +826 +00:59:08,490 --> 00:59:13,470 +of the conductor إذا مافيش عندي أي اشكالية بأن هذه + +827 +00:59:13,470 --> 00:59:23,970 +الخاصية أكيد صحيحة أكيد صحيحة طبعا لو + +828 +00:59:23,970 --> 00:59:27,350 +جيت بدي أعمل لـ conductor شباب بيقول الجهد الأزرق + +829 +00:59:27,350 --> 00:59:31,850 +شايفينه الخط الأزرق بيمثل الجهد طول ما أنت جوا الـ + +830 +00:59:31,850 --> 00:59:37,420 +conductor جهدك ثابت بعد كده بيصير واحد على R واحد + +831 +00:59:37,420 --> 00:59:40,440 +على R بيصير هيك وعندما النهاية الـ H بيصير Zero + +832 +00:59:40,440 --> 00:59:44,160 +تمام بيقول if a figure shows the variation of V + +833 +00:59:44,160 --> 00:59:47,960 +تغير الـ V as a function of the radial distance R + +834 +00:59:47,960 --> 00:59:52,180 +for a conducting sphere of radius capital R بتطلع + +835 +00:59:52,180 --> 01:00:01,120 +لك إياها طب الآن في شغلات مهمة الآن conductor واحد + +836 +01:00:02,810 --> 01:00:07,030 +نقاط مختلفة على الصفحة كده الشي جاهد بيكون لازم + +837 +01:00:07,030 --> 01:00:10,910 +يكون ثاني حلو طب أنا جيت عندي two conductors two + +838 +01:00:10,910 --> 01:00:14,830 +conductors روحت وصلتهم مع بعض كم conductor صاروا + +839 +01:00:14,830 --> 01:00:19,380 +صاروا conductor واحد ما زال وصلوا وصلوا واحد خلاص + +840 +01:00:19,380 --> 01:00:23,620 +اشتبكوا ما زال اشتبكوا لازم الـ voltage على الجهود + +841 +01:00:23,620 --> 01:00:26,880 +على هذا و على هذا لازم نسوي بعض ولا لا قطع القاعدة + +842 +01:00:26,880 --> 01:00:29,360 +طب في الأول ماكنوش ايش بده يصير عشان يصيروا بعض + +843 +01:00:29,360 --> 01:00:32,140 +تقول لك الشحنات تنتقل من واحد الأعلى جهود إلى الأقل + +844 +01:00:32,140 --> 01:00:36,710 +جهود حتى تتساوي الجهود ليش بتنتقل؟ عشان يتحقق + +845 +01:00:36,710 --> 01:00:40,210 +القاعدة الأولى انه لازم الجهود اتنين تساوي لإن + +846 +01:00:40,210 --> 01:00:44,030 +مفصل الـ conductor واحد إذا قطعا هذا لازم يكون صحيحة + +847 +01:00:44,030 --> 01:00:48,510 +if two or more conducting objects are connected by + +848 +01:00:48,510 --> 01:00:52,490 +a conducting wire the conductors are no longer + +849 +01:00:52,490 --> 01:00:57,270 +separate بيقفلوا مفصلين but can be considered as a + +850 +01:00:57,270 --> 01:00:59,970 +single conductor فهو single conductor ذكرين في + +851 +01:00:59,970 --> 01:01:03,270 +التفصيل على التوازي؟ تقصد على التوازي قد ايش الجهد + +852 +01:01:03,270 --> 01:01:06,990 +بتساوي ولا بتساويش ليش؟ لأنه في التوازي بوصل + +853 +01:01:06,990 --> 01:01:10,290 +conductor مع conductor شباب في التوازي إذا كنتم + +854 +01:01:10,290 --> 01:01:15,490 +ذاكرين أجيبكم أنا خلّيني أقول capacitor اللي هي + +855 +01:01:15,490 --> 01:01:20,210 +المكاتب الفاتر خرط عليكم الكباسيه ده؟ الـ capacitor + +856 +01:01:20,210 --> 01:01:23,990 +من ايش بيتكون؟ + +857 +01:01:23,990 --> 01:01:28,030 +بيتكون من؟ شو الصفحي اللي لازم يكونوا؟ لازم + +858 +01:01:28,030 --> 01:01:31,750 +يكونوا conductors بنفعش يكونوا insulators يعني هذا + +859 +01:01:31,750 --> 01:01:34,430 +conductor و هذا conductor و هذا conductor و هذا conductor + +860 +01:01:34,430 --> 01:01:38,150 +طب وصلتهم على التوازي x1 ولا لأ هدول two conductors + +861 +01:01:38,150 --> 01:01:41,050 +توصلوا بالسلك إذا صاروا يهدهم واحد و هدول two + +862 +01:01:41,050 --> 01:01:44,230 +conductors توصلوا بالسلك صاروا يهدهم واحد عشان كده + +863 +01:01:44,230 --> 01:01:48,950 +بقول في التوازي v1 و v2 منهم بيساوي بعض بيساوي بعض + +864 +01:01:48,950 --> 01:01:52,650 +تبعين من هذه القاعدة اتنين شباب إذا any two + +865 +01:01:52,650 --> 01:01:57,530 +conductors اول ما يقول لك توصله على طول بطلع من المخ + +866 +01:01:57,530 --> 01:02:02,670 +v1 بيساوي v2 تساوي جهوده لأنهم صاروا conductor + +867 +01:02:02,670 --> 01:02:09,470 +واحد this means that the electrical charge will + +868 +01:02:09,470 --> 01:02:12,670 +transfer from the conductor of higher potential to + +869 +01:02:12,670 --> 01:02:15,290 +that of lower potential until the equilibrium + +870 +01:02:15,290 --> 01:02:19,210 +condition is achieved واحد عنده شحنات كبيرة و واحد + +871 +01:02:19,210 --> 01:02:21,990 +عنده شحنات صغيرة و واحد جهود كبير و واحد جهود صغير + +872 +01:02:21,990 --> 01:02:25,670 +و وصلتهم مع بعض كبري متساوى تنتقل الشحنات من الأعلى + +873 +01:02:25,670 --> 01:02:30,650 +جهود إلى الأقل جهود حتى تتساوي الجهود حتى تتساوي + +874 +01:02:30,650 --> 01:02:36,250 +الجهود مافيش مجال لازم يتساوي الجهود تبعوا شباب + +875 +01:02:36,250 --> 01:02:42,590 +طبعا في مثال على هالقضية مش حاجة حلوة بس خلّيني أحط + +876 +01:02:42,590 --> 01:02:47,410 +المراحزة therefore if two or more conductors are + +877 +01:02:47,410 --> 01:02:51,350 +connected and equilibrium is achieved يعني انقلق + +878 +01:02:51,350 --> 01:02:54,050 +أنا وصلتهم وفوز فيه equilibrium خلاص وكفت حركة + +879 +01:02:54,050 --> 01:02:57,470 +الشحنات they must be at the same electric + +880 +01:02:57,470 --> 01:03:00,830 +potential زي ما تقول حكيته على طول توصلوا إن هو نفس + +881 +01:03:00,830 --> 01:03:05,890 +الجهود هذه القاعدة اللي خدها شباب لإنها تتواصل على + +882 +01:03:05,890 --> 01:03:09,030 +التوازي التواصل على التوازي كل هذه الأمور كلها + +883 +01:03:09,030 --> 01:03:12,210 +منطبقة على هذا المبدأ لأنه أنا بتعامل بعد كده مع + +884 +01:03:12,210 --> 01:03:16,550 +conductors كل الأسلاك مش conductors كل الأسلاك + +885 +01:03:16,550 --> 01:03:20,310 +conductors وبالتالي غالبا هيتعامل مع conductors + +886 +01:03:20,310 --> 01:03:22,970 +اللي توصلوا مع بعض من نفس النقطة إذا نقلها نفس + +887 +01:03:22,970 --> 01:03:24,990 +الجهود طبعا + +888 +01:03:27,150 --> 01:03:30,770 +بقول in analog with the electric field lines the + +889 +01:03:30,770 --> 01:03:33,590 +electric potential can be represented by equal + +890 +01:03:33,590 --> 01:03:36,730 +potential surfaces بقول الـ electric field lines إن + +891 +01:03:36,730 --> 01:03:42,090 +تمثلتيليهم خطوط وهمية و إنهم قواعد انه ايه من الـ + +892 +01:03:42,090 --> 01:03:45,860 +positive للـ negative النسبة لـ E هي الاتريكشن تبعها + +893 +01:03:45,860 --> 01:03:47,720 +مع الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع + +894 +01:03:47,720 --> 01:03:47,880 +الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع + +895 +01:03:47,880 --> 01:03:49,980 +الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع + +896 +01:03:49,980 --> 01:03:50,220 +الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع + +897 +01:03:50,220 --> 01:03:51,800 +الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع + +898 +01:03:51,800 --> 01:03:53,460 +الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع + +899 +01:03:53,460 --> 01:03:58,940 +الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع + +900 +01:03:58,940 --> 01:04:07,230 +الاتريكشن تبع الاتريزي ما أنت رسمت لي المجال ارسم لي + +901 +01:04:07,230 --> 01:04:11,050 +الجهود بشغلات أعرف إن هنا فيه جهود قال الجهود ده + +902 +01:04:11,050 --> 01:04:15,690 +بمثله بـ surfaces مش بـ lines و الـ surfaces هدول + +903 +01:04:15,690 --> 01:04:19,570 +بيسموهم equipotential surfaces لو نيجي نستخدم كلمة + +904 +01:04:19,570 --> 01:04:25,290 +equipotential ايكوي من وين جاية من equal potential + +905 +01:04:25,290 --> 01:04:29,450 +إذا الـ equipotential surface هو السطح اللي بيكون + +906 +01:04:29,450 --> 01:04:34,990 +الجهود عليه ثابت متساوي هي معناه equipotential ما + +907 +01:04:34,990 --> 01:04:41,610 +هو بتساوي الـ potential؟ بيقول لي a surface with all + +908 +01:04:41,610 --> 01:04:45,190 +its points are at the same electric potential is + +909 +01:04:45,190 --> 01:04:49,690 +called equipotential surface يعني لأن هذا الموح .. + +910 +01:04:49,690 --> 01:04:53,130 +وينما كانت أصبح الجهد واحد .. بتسميه Equipotential + +911 +01:04:53,130 --> 01:04:56,410 +Surface ولا لأ؟ هذا هي .. Equipotential Surface + +912 +01:04:56,410 --> 01:05:00,710 +يعني أستطيع أن وينما كان جهده متساوي .. هذا بيسموه + +913 +01:05:00,710 --> 01:05:04,430 +Equipotential .. بس Surface .. Equipotential + +914 +01:05:04,430 --> 01:05:07,670 +Surface طبعا from this definition .. from this + +915 +01:05:07,670 --> 01:05:11,430 +definition .. it follows that no work is done .. + +916 +01:05:11,430 --> 01:05:15,550 +في علاقة بين الجهد و الـ work شباب ولا لأ؟ هل جت الشغل + +917 +01:05:15,550 --> 01:05:20,670 +اللي لازم عشان أنقل شحنة بين نقطتين مش بيساوي + +918 +01:05:20,670 --> 01:05:23,750 +الشحنة المنقولة في فرق الجهد بين نقطين؟ طيب، في + +919 +01:05:23,750 --> 01:05:28,550 +عندهم نقطتين على السطح، النقطتين اللي هم نفس الجهد، + +920 +01:05:28,550 --> 01:05:31,170 +قد ايش فرق الجهد بينهم؟ قد ايش شغل الـ building عشان + +921 +01:05:31,170 --> 01:05:32,530 +ننقل منها لها؟ Zero + +922 +01:05:38,310 --> 01:05:43,090 +مافيش شغل لأن مافيش فرق جهود تمام؟ زي إذا كان أول + +923 +01:05:43,090 --> 01:05:47,930 +واحدة نجنها ماكنش فيه شغل لأن ماكنش فيه جهود تمام + +924 +01:05:47,930 --> 01:05:51,470 +from this definition it proves that no work is + +925 +01:05:51,470 --> 01:05:54,310 +done by the electric field in moving a charged + +926 +01:05:54,310 --> 01:05:57,210 +particle between two points in the same + +927 +01:05:57,210 --> 01:06:00,490 +equipotential surface مرات بيجيكي أمثلة كالتالي + +928 +01:06:00,490 --> 01:06:03,930 +شباب بيصيب لي الـ conductor زي هيك بيقول لك احسب لي + +929 +01:06:03,930 --> 01:06:08,810 +الشغل عشان أقول شحنة من النقطة هذه للنقطة هذه Zero + +930 +01:06:08,810 --> 01:06:16,090 +Zero لإنه فرق الجهود ثابت طب من النقطة هذه للنقطة + +931 +01:06:16,090 --> 01:06:21,730 +هذه ببدأ أقول هذا ايه الـ potential service ولا لا + +932 +01:06:21,730 --> 01:06:25,550 +ايه الـ potential service لإن الجهد عليه كل واحد + +933 +01:06:25,550 --> 01:06:30,760 +تمام This means that the electric field lies must + +934 +01:06:30,760 --> 01:06:32,660 +be perpendicular to that potential surface + +935 +01:06:45,950 --> 01:06:50,430 +الآن عشان الشجر يطلع صفر هذه DL لازم تكون متعامد + +936 +01:06:50,430 --> 01:06:55,630 +على E و DL أنت بتنقل من نقطة لنقطة على السطح إذا + +937 +01:06:55,630 --> 01:06:59,870 +لازم E و السطح يكون متعامدين إذا كيف بدأ ارسم + +938 +01:06:59,870 --> 01:07:02,170 +السطوح بقول أنت ارسم خطوط المجال وبعدين اعمل + +939 +01:07:02,170 --> 01:07:08,310 +متعامد يعني لو كان خط مجال زي كده هذا + +940 +01:07:08,310 --> 01:07:12,110 +المجال مش هذا uniform ارسم equipotential surface + +941 +01:07:12,110 --> 01:07:14,900 +بقول حط ورقة هيك هذه الـ equipotential surfaces و حط + +942 +01:07:14,900 --> 01:07:17,280 +ورقة جنبها و حط ورقة جنبها هذي هي الـ + +943 +01:07:17,280 --> 01:07:19,580 +equipotential surfaces هجيتي ومش عصاب خطوط شباب + +944 +01:07:19,580 --> 01:07:23,300 +هذي هو الأسطح هذي الحرف أسطح هي الـ equipotential + +945 +01:07:23,300 --> 01:07:28,420 +surfaces طبعا هجيتي و ماشي من هنا لهنا no work + +946 +01:07:28,420 --> 01:07:34,300 +ساعتها دي الـ K بتكون هاي دي الـ و ايه is a no work + +947 +01:07:34,300 --> 01:07:40,220 +صح؟ لكن لو دي بتمشي من هنا لهنا فيه work مظبوط؟ طب + +948 +01:07:40,220 --> 01:07:44,200 +امشي من هنا لهنا no work إذا المعنى هو انت ماشي + +949 +01:07:44,200 --> 01:07:47,660 +هيك you work وهذا المنطق إذا هذا هو الـ Equipotential + +950 +01:07:47,660 --> 01:07:50,440 +Surface فالـ Equipotential Surface بتكون + +951 +01:07:50,440 --> 01:07:53,940 +عموجة على الـ Electric Field Lines لازم عشان مافيش + +952 +01:07:53,940 --> 01:07:58,560 +شغل و الشغل بيكون Zero إذا كانت الإزاحة و القوة + +953 +01:07:58,560 --> 01:08:03,240 +متعامدات زي لما نقول لو واحد جيتعب يضغط و يمشي في + +954 +01:08:03,240 --> 01:08:07,300 +الممر هذا من أول ممر لآخر ممر من اليوم مرة + +955 +01:08:07,300 --> 01:08:16,650 +نقوله كده الشغل الجاذبية؟ كم ساوي؟ zero ليش؟ + +956 +01:08:16,650 --> 01:08:20,190 +لأن الجاذبية الأسفل و أنت رايح يوجعي لديش زاحتك + +957 +01:08:20,190 --> 01:08:24,890 +أفقية إذا لديش شغل جاذبية مش شغلك هاه أنت كلش + +958 +01:08:24,890 --> 01:08:28,730 +شغلك شغل أنت بيقوم بموار على جراح أنت هتعرض و تخلق + +959 +01:08:28,730 --> 01:08:32,270 +هذه شغل اللي بيجلطوا ضد الاحتكاك مش شغل الجاذبية + +960 +01:08:33,180 --> 01:08:37,120 +الشغل أنت و أنت بتمشي هشوف لو مافيش احتكاك بتضر لك + +961 +01:08:37,120 --> 01:08:39,300 +رايح جاي ولا فيه عرق ولا حاجة أو تيجي بتشتغل في + +962 +01:08:39,300 --> 01:08:42,780 +شاي و قهوة ومافيش أي مشكلة فالمشكلة أنت بتعمل شغل + +963 +01:08:42,780 --> 01:08:45,900 +ضد الاحتكاك و أنت ناشط طبعا لو مافيش احتكاك منعش + +964 +01:08:45,900 --> 01:08:50,560 +تمشي أصلاده ماشي احتكالي؟ اه طبعا لا عشتش فبالتالي + +965 +01:08:50,560 --> 01:08:54,520 +لكن لو يجي تقولت لك احسب الشغل الجاذبية و أنت وايح + +966 +01:08:54,520 --> 01:08:58,620 +وجاه مغلى مرتين تلاتة أربعة Zero لأن القوة + +967 +01:08:58,620 --> 01:09:02,180 +و الإزاحة متعمدات و الشغل بيقول ي dot و باك إذا من + +968 +01:09:02,180 --> 01:09:08,420 +هال الشغل Zero إذا نقل قوة او E بمعنى آخر لازم + +969 +01:09:08,420 --> 01:09:11,860 +تكون متعمد على الـ DL و DL على الـ surface إذا دايما + +970 +01:09:11,860 --> 01:09:15,960 +الـ Equipotential Surface بيكون متعمد على خطوط المجال + +971 +01:09:15,960 --> 01:09:21,170 +الكهربائي ماشي شباب طيب ما أنا عندي شغلة بسيطة طالع + +972 +01:09:21,170 --> 01:09:26,010 +أنا هنا the surface of my conductor إذا حكيتها هذا + +973 +01:09:26,010 --> 01:09:27,810 +conductor is a surface تبعه لازم يكون + +974 +01:09:27,810 --> 01:09:30,570 +equipotential surface ده أنا عندي مثال لازم أخلي + +975 +01:09:30,570 --> 01:09:33,050 +ليوم لحد diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..100e1fe8cac07fda3328e293eb430d658c529b42 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2896, "start": 11.2, "end": 28.96, "text": "بسم الله الرحمن الرحيم نستأنف ما تبقى من chapter 3 اللى كان بعنوان electric potential بدنا اربطنا ال electric potential مع ال potential energy وحكينا انه", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 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592.5, "text": "We now must do work given as Q3 في P1 و P2 و P1 و P2 و P1 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P", "tokens": [4360, 586, 1633, 360, 589, 2212, 382, 1249, 18, 8978, 430, 16, 4032, 430, 17, 4032, 430, 16, 4032, 430, 17, 4032, 430, 16, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 430, 17, 4032, 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لما", "probability": 0.950439453125}, {"start": 825.54, "end": 825.7, "word": " اقول", "probability": 0.91650390625}, {"start": 825.7, "end": 825.88, "word": " واحد", "probability": 0.98876953125}, {"start": 825.88, "end": 826.2, "word": " تلاتة", "probability": 0.966064453125}, {"start": 826.2, "end": 826.38, "word": " بدي", "probability": 0.6915283203125}, {"start": 826.38, "end": 826.56, "word": " واحد", "probability": 0.9892578125}, {"start": 826.56, "end": 827.06, "word": " تلاتة", "probability": 0.9866943359375}, {"start": 827.06, "end": 827.62, "word": " وهكذا", "probability": 0.7517903645833334}, {"start": 827.62, "end": 827.94, "word": " سهل", "probability": 0.9873046875}, {"start": 827.94, "end": 829.12, "word": " القانون", "probability": 0.9793294270833334}, {"start": 829.12, "end": 829.52, "word": " طبعا", "probability": 0.98193359375}, {"start": 829.52, "end": 829.78, "word": " نرجع", "probability": 0.94921875}, {"start": 829.78, "end": 830.06, "word": " لهذا", 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832.24, "end": 832.38, "word": " انا", "probability": 0.63330078125}, {"start": 832.38, "end": 832.8, "word": " حسبت", "probability": 0.96630859375}, {"start": 832.8, "end": 833.0, "word": " كيف", "probability": 0.951416015625}, {"start": 833.0, "end": 833.4, "word": " شباب", "probability": 0.9661458333333334}, {"start": 833.4, "end": 834.0, "word": " جالي", "probability": 0.6219075520833334}, {"start": 834.0, "end": 834.22, "word": " بدي", "probability": 0.774169921875}, {"start": 834.22, "end": 834.58, "word": " دالتا", "probability": 0.461212158203125}, {"start": 834.58, "end": 834.8, "word": " U", "probability": 0.62548828125}, {"start": 834.8, "end": 835.24, "word": " و", "probability": 0.364501953125}, {"start": 835.24, "end": 835.46, "word": " قولتله", "probability": 0.66754150390625}, {"start": 835.46, "end": 835.76, "word": " مالساوي", "probability": 0.67236328125}, {"start": 835.76, "end": 836.22, "word": " الشغل", "probability": 0.9803059895833334}, {"start": 836.22, "end": 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{"start": 2151.68, "end": 2151.9, "word": " صفر", "probability": 0.7763671875}, {"start": 2151.9, "end": 2152.24, "word": " لكبة", "probability": 0.8854166666666666}, {"start": 2152.24, "end": 2152.4, "word": " ال", "probability": 0.84716796875}, {"start": 2152.4, "end": 2152.54, "word": " R", "probability": 0.69091796875}, {"start": 2152.54, "end": 2153.1, "word": " عارفينها", "probability": 0.928125}], "temperature": 1.0}, {"id": 96, "seek": 217530, "start": 2153.64, "end": 2175.3, "text": "لأن حدودها أنا راسمها مش راسمها هنا شايفين ال ring هذي ring واحدة عشان تكون ال ring تغطيهم كلها بتكون أصغر ring و أكبر ring أول ring انتيجة نسختهها zero و أكبر ring كبت ال R عشان كده الحدود التكامل طلعت معايا بهذا الشكل طبعا هذا تكامل فيه السهل لأن هذي DU و هذي U", "tokens": [1211, 33456, 11331, 3215, 23328, 11296, 41850, 12602, 32277, 2304, 11296, 37893, 12602, 32277, 2304, 11296, 34105, 13412, 995, 33911, 9957, 2423, 4875, 8032, 8848, 1829, 4875, 36764, 24401, 3660, 6225, 8592, 7649, 6055, 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المجال اضطررنا نعمل symmetry و ال y component تتغير و ال x component ينحى فهذا كل الموال لزمنا مرة هذه مالزمناش لأنه انا بتعامل مع scalars بقولي جيب عصر جيب جهد العصر كامل بدون ما تعمل اشي", "tokens": [9566, 3555, 3615, 995, 8608, 3224, 1211, 2655, 6225, 8592, 7649, 1975, 2655, 37983, 43500, 44381, 4724, 43042, 3224, 2423, 17108, 6055, 3555, 3615, 11296, 8608, 3224, 1211, 5296, 33456, 11296, 15664, 685, 29910, 995, 37983, 9957, 16472, 2655, 14407, 5296, 15042, 1975, 8592, 2655, 17082, 1211, 8315, 6225, 2423, 4875, 4032, 1975, 5016, 8315, 44945, 7435, 1829, 3555, 9673, 7435, 6027, 1975, 11242, 9566, 2288, 2288, 8315, 8717, 25957, 1211, 25440, 4032, 2423, 288, 6542, 6055, 2655, 17082, 13546, 4032, 2423, 2031, 6542, 7251, 1863, 5016, 7578, 6156, 3224, 15730, 28242, 9673, 2407, 6027, 5296, 11622, 2304, 8315, 3714, 25720, 29538, 3714, 6027, 11622, 2304, 8315, 8592, 5296, 33456, 3224, 1975, 8315, 39894, 3615, 10943, 1211, 20449, 15664, 685, 4724, 39648, 1829, 10874, 1829, 3555, 6225, 9381, 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"seek": 264530, "start": 2617.28, "end": 2645.3, "text": "صح ولا لأ؟ بصحيلي أحطهم مرة واحدة بيقولي بصحيلي cash إيه يسوي؟ بيقولي but in this case انتبهوا سؤال بتكرر مرات و بيدلوا حدين بيه إذا فاهم التكامل مش فاهم كامل فاهمش مع التكامل تمام؟ but in this case the range from infinity to the point in question includes two regions with different electric fields طلع جباب the outside region هاي من هال لهان", "tokens": [9381, 5016, 49429, 5296, 10721, 22807, 4724, 9381, 5016, 1829, 20292, 5551, 5016, 9566, 16095, 3714, 25720, 36764, 24401, 3660, 4724, 1829, 39648, 1829, 4724, 9381, 5016, 1829, 20292, 6388, 11933, 1829, 3224, 7251, 3794, 45865, 22807, 4724, 1829, 39648, 1829, 457, 294, 341, 1389, 16472, 2655, 3555, 3224, 14407, 8608, 33604, 6027, 39894, 37983, 2288, 3714, 2288, 9307, 4032, 4724, 1829, 3215, 1211, 14407, 11331, 3215, 9957, 4724, 1829, 3224, 11933, 15730, 6156, 995, 16095, 16712, 4117, 10943, 1211, 37893, 6156, 995, 16095, 9122, 10943, 1211, 6156, 995, 16095, 8592, 20449, 16712, 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"end": 3454.64, "word": " surface", "probability": 0.8916015625}, {"start": 3454.64, "end": 3456.1, "word": " قاعدة", "probability": 0.9576416015625}, {"start": 3456.1, "end": 3456.68, "word": " مفهومة", "probability": 0.95966796875}, {"start": 3456.68, "end": 3457.72, "word": " ومعروفة", "probability": 0.9500325520833334}, {"start": 3457.72, "end": 3459.68, "word": " بقول", "probability": 0.802490234375}, {"start": 3459.68, "end": 3459.94, "word": " بدي", "probability": 0.6602783203125}, {"start": 3459.94, "end": 3460.32, "word": " أثبتها", "probability": 0.9857421875}, {"start": 3460.32, "end": 3460.52, "word": " كده", "probability": 0.8761393229166666}, {"start": 3460.52, "end": 3460.9, "word": " مرة", "probability": 0.962890625}], "temperature": 1.0}, {"id": 150, "seek": 348543, "start": 3461.67, "end": 3485.43, "text": "بدي اكتبتها كمان مرة و explicitly و بقوانين نقول to prove this property explicitly يعني بالتفصيل let us consider a conducting sphere of radius capital R and its charge capital Q the electric potential at a point inside the sphere at a point inside the sphere زي ما طبعا قلتلكم عنها من ما نهيئة small r a dot of dl", "tokens": [3555, 16254, 1975, 4117, 2655, 3555, 2655, 11296, 9122, 2304, 7649, 3714, 25720, 4032, 20803, 4032, 4724, 4587, 2407, 7649, 9957, 8717, 39648, 281, 7081, 341, 4707, 20803, 37495, 22653, 20666, 2655, 5172, 9381, 26895, 718, 505, 1949, 257, 21749, 16687, 295, 15845, 4238, 497, 293, 1080, 4602, 4238, 1249, 264, 5210, 3995, 412, 257, 935, 1854, 264, 16687, 412, 257, 935, 1854, 264, 16687, 30767, 1829, 19446, 23032, 3555, 3615, 995, 12174, 1211, 2655, 23275, 2304, 18871, 11296, 9154, 19446, 8717, 3224, 1829, 19986, 3660, 1359, 367, 257, 5893, 295, 37873], "avg_logprob": -0.3461021454103531, "compression_ratio": 1.5655737704918034, "no_speech_prob": 0.0, "words": [{"start": 3461.67, "end": 3461.97, "word": "بدي", "probability": 0.3936767578125}, {"start": 3461.97, "end": 3462.45, "word": " اكتبتها", "probability": 0.7254231770833334}, {"start": 3462.45, "end": 3462.79, "word": " كمان", "probability": 0.9547526041666666}, {"start": 3462.79, "end": 3463.09, "word": " مرة", "probability": 0.96728515625}, {"start": 3463.09, "end": 3463.27, "word": " و", "probability": 0.479248046875}, {"start": 3463.27, "end": 3463.67, "word": " explicitly", "probability": 0.70263671875}, {"start": 3463.67, "end": 3464.19, "word": " و", "probability": 0.3359375}, {"start": 3464.19, "end": 3465.51, "word": " بقوانين", "probability": 0.94833984375}, {"start": 3465.51, "end": 3466.15, "word": " نقول", "probability": 0.6981201171875}, {"start": 3466.15, "end": 3466.35, "word": " to", "probability": 0.2802734375}, {"start": 3466.35, "end": 3466.57, "word": " prove", "probability": 0.9306640625}, {"start": 3466.57, "end": 3466.81, "word": " this", "probability": 0.919921875}, {"start": 3466.81, "end": 3467.27, "word": " property", "probability": 0.49365234375}, {"start": 3467.27, "end": 3467.93, "word": " explicitly", "probability": 0.82275390625}, {"start": 3467.93, "end": 3468.63, "word": " يعني", "probability": 0.811767578125}, {"start": 3468.63, "end": 3469.35, "word": " بالتفصيل", "probability": 0.974609375}, {"start": 3469.35, "end": 3470.29, "word": " let", "probability": 0.50830078125}, {"start": 3470.29, "end": 3470.57, "word": " us", "probability": 0.9033203125}, {"start": 3470.57, "end": 3470.99, "word": " consider", "probability": 0.91748046875}, {"start": 3470.99, "end": 3471.19, "word": " a", "probability": 0.98291015625}, {"start": 3471.19, "end": 3471.71, "word": " conducting", "probability": 0.86279296875}, {"start": 3471.71, "end": 3472.17, "word": " sphere", "probability": 0.9072265625}, {"start": 3472.17, "end": 3472.39, "word": " of", "probability": 0.876953125}, {"start": 3472.39, "end": 3472.63, "word": " radius", "probability": 0.93896484375}, {"start": 3472.63, "end": 3473.01, "word": " capital", "probability": 0.8369140625}, {"start": 3473.01, "end": 3473.31, "word": " R", "probability": 0.91259765625}, {"start": 3473.31, "end": 3473.49, "word": " and", "probability": 0.93505859375}, {"start": 3473.49, "end": 3473.65, "word": " its", "probability": 0.418701171875}, {"start": 3473.65, "end": 3473.87, "word": " charge", "probability": 0.82958984375}, {"start": 3473.87, "end": 3474.25, "word": " capital", "probability": 0.94775390625}, {"start": 3474.25, "end": 3474.61, "word": " Q", "probability": 0.95947265625}, {"start": 3474.61, "end": 3476.75, "word": " the", "probability": 0.56982421875}, {"start": 3476.75, "end": 3477.03, "word": " electric", "probability": 0.95068359375}, {"start": 3477.03, "end": 3477.51, "word": " potential", "probability": 0.96630859375}, {"start": 3477.51, "end": 3477.75, "word": " at", "probability": 0.96142578125}, {"start": 3477.75, "end": 3477.97, "word": " a", "probability": 0.95556640625}, {"start": 3477.97, "end": 3478.21, "word": " point", "probability": 0.97900390625}, {"start": 3478.21, "end": 3478.59, "word": " inside", "probability": 0.89697265625}, {"start": 3478.59, "end": 3478.85, "word": " the", "probability": 0.8037109375}, {"start": 3478.85, "end": 3479.17, "word": " sphere", "probability": 0.90966796875}, {"start": 3479.17, "end": 3479.85, "word": " at", "probability": 0.39111328125}, {"start": 3479.85, "end": 3480.09, "word": " a", "probability": 0.9482421875}, {"start": 3480.09, "end": 3480.27, "word": " point", "probability": 0.9794921875}, {"start": 3480.27, "end": 3480.55, "word": " inside", "probability": 0.919921875}, {"start": 3480.55, "end": 3480.79, "word": " the", "probability": 0.87158203125}, {"start": 3480.79, "end": 3480.97, "word": " sphere", "probability": 0.908203125}, {"start": 3480.97, "end": 3481.15, "word": " زي", "probability": 0.9013671875}, {"start": 3481.15, "end": 3481.21, "word": " ما", "probability": 0.794921875}, {"start": 3481.21, "end": 3481.41, "word": " طبعا", "probability": 0.7061767578125}, {"start": 3481.41, "end": 3481.83, "word": " قلتلكم", "probability": 0.754931640625}, {"start": 3481.83, "end": 3482.25, "word": " عنها", "probability": 0.868408203125}, {"start": 3482.25, "end": 3482.69, "word": " من", "probability": 0.6005859375}, {"start": 3482.69, "end": 3482.87, "word": " ما", "probability": 0.4404296875}, {"start": 3482.87, "end": 3483.27, "word": " نهيئة", "probability": 0.6076171875}, {"start": 3483.27, "end": 3484.33, "word": " small", "probability": 0.25146484375}, {"start": 3484.33, "end": 3484.67, "word": " r", "probability": 0.796875}, {"start": 3484.67, "end": 3484.87, "word": " a", "probability": 0.24853515625}, {"start": 3484.87, "end": 3485.01, "word": " dot", "probability": 0.76416015625}, {"start": 3485.01, "end": 3485.13, "word": " of", "probability": 0.51220703125}, {"start": 3485.13, "end": 3485.43, "word": " dl", "probability": 0.7978515625}], "temperature": 1.0}, {"id": 151, "seek": 349776, "start": 3487.52, "end": 3497.76, "text": "بره غير عن جوه بره من مال نهاية لحدود المنطقة اللي برا وجوه من بداية حدود المنطقة اللي جوه للنقطة اللي بدي إياها تمام قدش EN شباب؟ Zero", "tokens": [26890, 3224, 32771, 13546, 18871, 10874, 2407, 3224, 4724, 2288, 3224, 9154, 3714, 6027, 8717, 11296, 10632, 5296, 24401, 23328, 9673, 1863, 9566, 28671, 13672, 1829, 4724, 23557, 49610, 2407, 3224, 9154, 4724, 28259, 10632, 11331, 3215, 23328, 9673, 1863, 9566, 28671, 13672, 1829, 10874, 2407, 3224, 24976, 1863, 47432, 3660, 13672, 1829, 4724, 16254, 11933, 25528, 11296, 46811, 10943, 12174, 3215, 8592, 15244, 13412, 3555, 16758, 22807, 17182], "avg_logprob": -0.25870536523205895, "compression_ratio": 1.6808510638297873, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 3487.52, "end": 3487.94, "word": "بره", "probability": 0.51806640625}, {"start": 3487.94, "end": 3488.1, "word": " غير", "probability": 0.9443359375}, {"start": 3488.1, "end": 3488.28, "word": " عن", "probability": 0.921875}, {"start": 3488.28, "end": 3488.68, "word": " جوه", "probability": 0.8546549479166666}, {"start": 3488.68, "end": 3489.32, "word": " بره", "probability": 0.6415201822916666}, {"start": 3489.32, "end": 3489.42, "word": " من", "probability": 0.90771484375}, {"start": 3489.42, "end": 3489.62, "word": " مال", "probability": 0.5037841796875}, {"start": 3489.62, "end": 3490.0, "word": " نهاية", "probability": 0.571533203125}, {"start": 3490.0, "end": 3490.34, "word": " لحدود", "probability": 0.82763671875}, {"start": 3490.34, "end": 3490.7, "word": " المنطقة", "probability": 0.9808349609375}, {"start": 3490.7, "end": 3490.84, "word": " اللي", "probability": 0.8515625}, {"start": 3490.84, "end": 3491.16, "word": " برا", "probability": 0.982177734375}, {"start": 3491.16, "end": 3492.1, "word": " وجوه", "probability": 0.8328450520833334}, {"start": 3492.1, "end": 3492.2, "word": " من", "probability": 0.95068359375}, {"start": 3492.2, "end": 3492.52, "word": " بداية", "probability": 0.87548828125}, {"start": 3492.52, "end": 3492.74, "word": " حدود", "probability": 0.9407552083333334}, 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0.66357421875}], "temperature": 1.0}, {"id": 152, "seek": 352180, "start": 3500.48, "end": 3521.8, "text": "E in بتسييز Zero and E out هدهيه اذا المعناه تجري عوّد عوّد بقول يالا عوّد E out نعرفها هدهيه صار capital Q على أربع باي ي نوع ثوابت تكامل DL.R unit vector على R تربيع من المنام الهيئة لcapital R هذه عبارة عن DR", "tokens": [36, 294, 39894, 3794, 1829, 1829, 11622, 17182, 293, 462, 484, 8032, 3215, 3224, 1829, 3224, 1975, 15730, 9673, 3615, 8315, 3224, 6055, 7435, 16572, 6225, 2407, 11703, 3215, 6225, 2407, 11703, 3215, 4724, 39648, 7251, 6027, 995, 6225, 2407, 11703, 3215, 462, 484, 8717, 3615, 28480, 11296, 8032, 3215, 3224, 1829, 3224, 20328, 9640, 4238, 1249, 15844, 5551, 25513, 3615, 4724, 47302, 7251, 8717, 45367, 38637, 14407, 3555, 2655, 6055, 4117, 10943, 1211, 413, 43, 13, 49, 4985, 8062, 15844, 497, 6055, 2288, 21292, 3615, 9154, 9673, 8315, 2304, 2423, 3224, 1829, 19986, 3660, 5296, 9485, 1686, 497, 29538, 6225, 3555, 9640, 3660, 18871, 12118], "avg_logprob": 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"end": 3883.55, "word": " the", "probability": 0.9267578125}, {"start": 3883.55, "end": 3883.99, "word": " same", "probability": 0.923828125}, {"start": 3883.99, "end": 3884.41, "word": " electric", "probability": 0.927734375}, {"start": 3884.41, "end": 3884.99, "word": " potential", "probability": 0.9619140625}, {"start": 3884.99, "end": 3885.19, "word": " is", "probability": 0.78076171875}, {"start": 3885.19, "end": 3885.61, "word": " called", "probability": 0.90673828125}, {"start": 3885.61, "end": 3886.25, "word": " ecopotential", "probability": 0.615478515625}, {"start": 3886.25, "end": 3886.75, "word": " surface", "probability": 0.88671875}], "temperature": 1.0}, {"id": 169, "seek": 391373, "start": 3887.17, "end": 3913.73, "text": "يعني لأن هذا الموح .. وينما كانت أصبح الجهد واحد .. بتسميه Equipotential Surface ولا لأ؟ هذا هي .. Equipotential Surface يعني أستطيع أن وينما كان جهده متساوي .. هذا بيسموه Equipotential .. بس Surface .. 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هذا ال + +2 +00:00:15,220 --> 00:00:20,120 +chapter بس بسرعة نحاول نسترجع ما أخذناه في + +3 +00:00:20,120 --> 00:00:24,900 +المحاضرة السابقة حكينا أن مجال المغناطيسي هو + +4 +00:00:24,900 --> 00:00:29,700 +الشحنات المتحركة وبالتالي a moving charge or a + +5 +00:00:29,700 --> 00:00:34,120 +current creates a magnetic field رمزه capital B in + +6 +00:00:34,120 --> 00:00:39,180 +the space around it وبعد كده حكينا هذا يؤدي إلى + +7 +00:00:39,180 --> 00:00:43,060 +النتيجة التالية أن any moving charge exists in the + +8 +00:00:43,060 --> 00:00:45,680 +region of B will be affected by a magnetic force + +9 +00:00:45,680 --> 00:00:50,020 +واتفقنا القانون الوحيد التابع اللي حتى الآن أخذناه أن + +10 +00:00:50,020 --> 00:00:55,570 +F equal q v cross B بما أن F is a vector quantity + +11 +00:00:55,570 --> 00:00:59,270 +المفروض يكون في عندي cross product between v and b + +12 +00:00:59,270 --> 00:01:04,530 +لأن v is a vector and b is also a vector ومن هذه + +13 +00:01:04,530 --> 00:01:08,630 +العلاقة اتفقنا لو كانت v و b متوازيتين بتكون + +14 +00:01:08,630 --> 00:01:14,230 +الزاوية 0 او 180 والقوة بتكون 0 والمعلومة الثانية + +15 +00:01:15,970 --> 00:01:19,610 +أن F يجب أن تكون عمودية على V و B + +16 +00:01:27,040 --> 00:01:31,540 +الوحدة التابعة للمجال المغناطيسي هي التسلا أو الجاوس + +17 +00:01:31,540 --> 00:01:35,720 +بحسب النظام المستخدم where one tesla equal to + +18 +00:01:35,720 --> 00:01:39,740 +ten to power four gauss هذا كل ما أخذناه الكمية + +19 +00:01:39,740 --> 00:01:42,340 +الوحيدة الجديدة اللي عندنا هي المجال المغناطيسي + +20 +00:01:42,340 --> 00:01:46,740 +الرمز B it is a vector quantity with its + +21 +00:01:46,740 --> 00:01:48,400 +أساسية unit of تسلا + +22 +00:01:51,880 --> 00:01:57,240 +اتفقنا أن القوة المغناطيسية بتكون عمودية على ال + +23 +00:01:57,240 --> 00:02:01,060 +سرعة وعمودية على ال B وبالتالي لابد أني عشان + +24 +00:02:01,060 --> 00:02:04,040 +أجيب الاتجاه التابع لها أستخدم قاعدة اليد + +25 +00:02:04,040 --> 00:02:09,970 +اليمنى أن أصابع الأربعة بيكونوا مع V بعمل انحناء + +26 +00:02:09,970 --> 00:02:14,610 +باتجاه B و إبهامي بيعطينا ال + +27 +00:02:14,610 --> 00:02:18,890 +الاتجاه التابع ل F طبعًا هذا الكلام لما يكون الشحنة + +28 +00:02:18,890 --> 00:02:21,690 +موجبة شباب لما .. لما تستخدموا أيديكم ولو كانت + +29 +00:02:21,690 --> 00:02:25,550 +الشحنة سالبة وان إبهامكم يعكسها لو كانت الشحنة + +30 +00:02:25,550 --> 00:02:32,840 +سالبة تمامًا هذا صحيح إذا كان الـ Q موجب، دعونا نأخذ + +31 +00:02:32,840 --> 00:02:34,180 +أمثلة + +37 +00:02:54,860 --> 00:02:58,840 +واتفقنا أنها سيكون في عندنا رمزين يتكرروا كثيرًا أن هذا + +38 +00:02:58,840 --> 00:03:04,800 +الرمز يعطي out of the page وهو يمثل رأس البرغي أو + +39 +00:03:04,800 --> 00:03:09,780 +الدبوس وهذا هو خلفية البرغي بيوصلني أنه into the + +40 +00:03:09,780 --> 00:03:16,460 +page على اعتبار أن هذا k وهذا ناقص k أنه out of + +41 +00:03:16,460 --> 00:03:21,080 +the page k و into the page هو ناقص k نتعامل معه في + +42 +00:03:21,080 --> 00:03:25,300 +الاتجاهات اللي نتعامل معها و هيأخذنا المثال هذا + +43 +00:03:25,300 --> 00:03:28,300 +إن لو كان شحنة موجبة بدأت تتحرك والمجال + +44 +00:03:28,300 --> 00:03:31,740 +المغناطيسي اللي شايفينه هو out into the page يعني + +45 +00:03:31,740 --> 00:03:35,380 +ناقص K وجئت بدي أجيب الاتجاه كيف لو عملت + +46 +00:03:35,380 --> 00:03:42,480 +هذا؟ كيف تتضبط معاك؟ كيف + +47 +00:03:42,480 --> 00:03:43,980 +الصورة عايزة تعملها؟ كيف أصابعك الأربعة عايزة + +48 +00:03:43,980 --> 00:03:48,680 +تعملها؟ أصابعك الأربعة هيك والجهة هيك؟ كيف فهمك + +49 +00:03:48,680 --> 00:03:50,860 +بيكون؟ لفوق + +50 +00:03:54,260 --> 00:03:59,480 +بتتنهيج لازم يكون إبهامك لفوق تمام؟ بتتنهيج + +51 +00:03:59,480 --> 00:04:02,020 +وبالتالي إبهامك لفوق طبعًا لو كانت الشحنة + +52 +00:04:02,020 --> 00:04:06,960 +السالبة بيكون فتحها أي + +53 +00:04:06,960 --> 00:04:10,400 +واحدة لفوق واحدة لتحت وبالتالي بيكون الاتجاه + +54 +00:04:10,400 --> 00:04:14,800 +بيطلع فوق وهذا بينحني إلى أسفل هذا الانحراف + +55 +00:04:14,800 --> 00:04:23,170 +تبعه تمام طيب الآن المعلومة اللي عندنا من القانون + +56 +00:04:23,170 --> 00:04:27,430 +الوحيد اللي موجود أن F شباب القوة المغناطيسية + +57 +00:04:27,430 --> 00:04:37,210 +تساوي Q V cross B هذا قانوني ايش العلاقة بين V مع ال F + +58 +00:04:37,210 --> 00:04:40,770 +متعامدين + +59 +00:04:40,770 --> 00:04:46,290 +متعامدين لو حسبت F دوت V بتلاقيها بتطلع + +60 +00:04:50,790 --> 00:04:54,330 +مشي ال دوت برودكت بال D cosine وانت قولتوا متعامدين + +61 +00:04:54,330 --> 00:04:58,690 +و ال cosine التسعين قد ايه هي zero تمام؟ بيقول since F + +62 +00:04:58,690 --> 00:05:02,890 +and V are perpendicular زي ما أنتم عارفينها then + +63 +00:05:02,890 --> 00:05:07,090 +F دوت ال V تساوي Zero طب ال V تساوي DS على DT ولا + +64 +00:05:07,090 --> 00:05:11,490 +لأ؟ طيب F دوت ال DS كمية فيزيائية مشهورة ايش هي هذه + +65 +00:05:12,660 --> 00:05:17,020 +مش الشغل؟ إذا معناته بقدر أقول this means that + +66 +00:05:17,020 --> 00:05:20,300 +the magnetic force is always perpendicular to the + +67 +00:05:20,300 --> 00:05:24,600 +displacement and hence it doesn't do any work in + +68 +00:05:24,600 --> 00:05:27,760 +the displaced particle إذا هي معلومة جيدة أن القوة + +69 +00:05:27,760 --> 00:05:32,300 +المغناطيسية لا تعمل أي شغل لا تعمل أي شغل طيب ايش + +70 +00:05:32,300 --> 00:05:35,840 +بدنا نفيد منها؟ جاليها حتستفيدي شغلات كثيرة في + +71 +00:05:35,840 --> 00:05:40,140 +العلاقة بين الكمية الطاقة والشغل ولا ما فيش مشدودة + +72 +00:05:40,140 --> 00:05:44,440 +بليونات بالساوية ده التكييف الشباب؟ تمام؟ الـ Work + +73 +00:05:44,440 --> 00:05:52,980 +energy theorem اللي هي كانت الـ W net يساوي Delta K + +74 +00:05:52,980 --> 00:05:56,680 +تذكرين ما كانت القانون؟ حد سمتها Work energy + +75 +00:05:56,680 --> 00:06:00,640 +theorem أنا ذاك في فيزياء 1 جالسة أفتكر حد اللي وجدت + +76 +00:06:00,640 --> 00:06:05,600 +في ده اكتبها W net يساوي Delta K جديش الاتفاق مع W + +77 +00:06:05,600 --> 00:06:09,960 +net في القوة المغناطيسية؟ إذا Delta K جديش؟ طيب ايش + +78 +00:06:09,960 --> 00:06:16,500 +Delta K؟ من يقول ليهاش بتساوي؟ دلتا K ما هي K + +79 +00:06:16,500 --> 00:06:23,020 +final ناقص K initial + +80 +00:06:23,020 --> 00:06:32,140 +نصف M V final تربيع ناقص V initial تربيع + +81 +00:06:35,180 --> 00:06:44,280 +ماذا يعني ذلك؟ V تربيع مرموز V تربيع + +82 +00:06:44,280 --> 00:06:47,760 +مرموز + +83 +00:06:47,760 --> 00:06:51,400 +V تربيع مرموز V تربيع مرموز V تربيع مرموز V تربيع + +84 +00:06:51,400 --> 00:06:52,480 +مرموز V تربيع مرموز V تربيع مرموز V تربيع مرموز V + +85 +00:06:52,480 --> 00:06:52,500 +مرموز V تربيع مرموز V تربيع مرموز V تربيع مرموز V + +86 +00:06:52,500 --> 00:06:52,720 +تربيع مرموز V تربيع مرموز V تربيع مرموز V تربيع + +87 +00:06:52,720 --> 00:06:59,560 +مرموز V تربيع مرموز V تربيع ماذا تربيع؟ E دوت E و + +88 +00:06:59,560 --> 00:07:02,840 +ال دوت ممكن تكون scalar ولا vector إذا ال V تربيع + +89 +00:07:02,840 --> 00:07:05,600 +is .. طب ابلاش الكائنات ال E هي جيه؟ vector ولا + +90 +00:07:05,600 --> 00:07:09,260 +zero ولا scalar إذا ال V تربيع هي ممكن تكون vector + +91 +00:07:09,260 --> 00:07:13,340 +ولا scalar إذا هذه speed مش velocity شباب هذه + +92 +00:07:13,340 --> 00:07:17,540 +speed ال V تربيع معناته لما أتعامل مع speeds ال + +93 +00:07:17,540 --> 00:07:21,180 +الاتجاه مروح دوت product تمام؟ ايش بيقول ايه + +94 +00:07:21,180 --> 00:07:24,320 +معناته؟ معناته ال speed ال initial بيصير ال speed + +95 +00:07:24,320 --> 00:07:28,240 +ال final طيب، واحدة واحدة هل يكفي قوة ولا ما فيش + +96 +00:07:28,240 --> 00:07:34,440 +قوة؟ في قوة نيوتن الثانية ايش بيقول؟ بيقول F + +97 +00:07:34,440 --> 00:07:40,520 +تساوي M في A في قوة في تسارع ولا لأ؟ طيب، + +98 +00:07:40,520 --> 00:07:45,560 +ايش العلاقة بين ال A مع السرعة؟ + +99 +00:07:45,560 --> 00:07:51,420 +DV على DT ما زال في قوة، إذا السرعة ممكن يكون + +100 +00:07:51,420 --> 00:07:58,360 +ثابتة لأ ممنوع يكون في ابتعاد إذا في قوة بيقولي + +101 +00:07:58,360 --> 00:08:02,740 +هذه لازم تكون متغيرة يعني V is variable V is + +102 +00:08:02,740 --> 00:08:06,680 +variable و هنا بيقولي ال speed is constant هل في + +103 +00:08:06,680 --> 00:08:14,340 +تناقض؟ لأ الاتجاه بيتغير لأن ال velocity هي + +104 +00:08:14,340 --> 00:08:18,280 +عبارة عن speed و direction ال speed ثابت ده اللي + +105 +00:08:18,280 --> 00:08:21,700 +عندك ال direction غيره كيف ما بدك إذا ما فيش تناقض + +106 +00:08:21,700 --> 00:08:26,300 +المعلومة الآن إن ال velocity لازم تكون متغيرة وال + +107 +00:08:26,300 --> 00:08:29,800 +speed لازم تكون ثابتة بالتالي المتغير الوحيد في ال + +108 +00:08:29,800 --> 00:08:33,480 +velocity هو الاتجاه تمام إذا المعلومة اللي + +109 +00:08:33,480 --> 00:08:39,080 +أنا بدي أثبتها بيقول إذا magnetic force كانت + +110 +00:08:40,390 --> 00:08:46,570 +تغيّر سرعة الجسيم. مستحيل تغيّر السرعة من قانون + +111 +00:08:46,570 --> 00:08:50,270 +هذا. W بيستخدم تكيير و W التوافق دائمًا Zero + +112 +00:08:50,270 --> 00:08:54,310 +للقوة المغناطيسية. إذن، القوة المغناطيسية مستحيلة + +113 +00:08:54,310 --> 00:08:58,590 +تغيّر أي سرعة. السرعة الأولية بتستخدم السرعة + +114 +00:08:58,590 --> 00:09:05,050 +النهائية. طب هو في حركة بتكون فيها السرعة ثابتة وفي + +115 +00:09:05,050 --> 00:09:12,490 +قوة؟ أي حركة؟ الحركة الدائرية. الحركة الدائرية لو + +116 +00:09:12,490 --> 00:09:15,090 +كانت لسرعة ثابتة فيها عندك تسارع + +117 +00:09:15,090 --> 00:09:20,090 +مركزي centripetal مركزي جاي فقط من + +118 +00:09:20,090 --> 00:09:24,110 +تغير الاتجاه إذا ممكن يكون عندك حركة دورانية في + +119 +00:09:24,110 --> 00:09:27,050 +الحركة الدورانية في إمكانية الاتجاه يكون ثابت؟ + +120 +00:09:27,050 --> 00:09:30,610 +إذا دائمًا متغير ولا لا؟ المهم أن القوة المغناطيسية + +121 +00:09:30,610 --> 00:09:34,170 +بتغيّر فقط الاتجاه إذا كل جسم في مجال مغناطيسي بتكون + +122 +00:09:34,170 --> 00:09:39,430 +حركته كيف؟ دائرية قطعادارية قطعة قادمة تشوف هذه + +123 +00:09:39,430 --> 00:09:43,560 +المثال البسيط بقول أن electron هجيتي ال electron + +124 +00:09:43,560 --> 00:09:46,280 +شو هتعمله ده بواحدة سالبة؟ بدي أعرف أنها سالبة بدي + +125 +00:09:46,280 --> 00:09:49,780 +أحطها سالبة لأن أنا محطوط القانون شباب هال Q حطيتها + +126 +00:09:49,780 --> 00:09:52,820 +absolute value لأ إذا هال Q لو كانت negative بتعوض + +127 +00:09:52,820 --> 00:09:56,700 +اياه ما جيت عليها واضح؟ مش ان ان ال electron حاط محالها + +128 +00:09:56,700 --> 00:09:59,720 +E بيحط سالب E في هذه الحالة تمام، an electron + +129 +00:09:59,720 --> 00:10:03,640 +moves with a speed of eight ten to power six + +130 +00:10:03,640 --> 00:10:07,120 +meters per second along the x-axis وقت أن أحطه + +131 +00:10:07,120 --> 00:10:12,890 +كبيكر هدا V كيف أتجاوز؟ هل أضع جانبه I ولا لأ؟ أضع + +132 +00:10:12,890 --> 00:10:16,370 +جانبه I لأنه باتجاه محور الصين الموجب Along the x + +133 +00:10:16,370 --> 00:10:20,850 +-axis in a region of uniform magnetic field قيمته + +134 +00:10:20,850 --> 00:10:25,290 +0.25 Tesla طب الاتجاه will be directed at + +135 +00:10:25,290 --> 00:10:29,130 +an angle 60 degree to the x-axis ب 60 درجة مع ال x + +136 +00:10:29,130 --> 00:10:33,090 +-axis قدر نرسمها Calculate the magnitude and the + +137 +00:10:33,090 --> 00:10:35,270 +direction of the magnetic force acting on the + +138 +00:10:35,270 --> 00:10:38,210 +electron as it enters the region of B + +139 +00:10:52,600 --> 00:10:57,400 +طبعًا يعني هو بيقول لو هذا البروتون بعمل أصابع أربعة + +140 +00:10:57,400 --> 00:11:00,560 +أو أربعة بلغ فيه قطعة out لكي عشان ال product يصير + +141 +00:11:00,560 --> 00:11:05,000 +into تمام يعني ناقص K صحيح ده؟ خلينا نحل هالحل بديش + +142 +00:11:05,000 --> 00:11:07,820 +أنا ببقى صبيحي أقول تعرفش تعمل كرسي وبضارة؟ بعرف + +143 +00:11:07,820 --> 00:11:10,100 +أعمل كرسي وبضارة مش تعلمنا في زي عريف كيف تعمل + +144 +00:11:10,100 --> 00:11:14,320 +كرسي وبضارة؟ تعلمنا من قول solution expressing v + +145 +00:11:14,320 --> 00:11:18,380 +and b in vector notations أكثر من كده دكاترة heavy في + +146 +00:11:18,380 --> 00:11:22,840 +مشكلة بتبقى هيك v؟ باتجاه ال I لأن هو along the X + +147 +00:11:22,840 --> 00:11:27,680 +-Axis ال X-Axis بمثلها ال I هذا هي طيب ال B ايش + +148 +00:11:27,680 --> 00:11:34,500 +سأحطها؟ I ولا J؟ بتحللها؟ طيب حللها، هذا حللت 0 + +149 +00:11:34,500 --> 00:11:39,300 +.25 Cos 60 باتجاه ال I و 0.25 Sin + +150 +00:11:39,300 --> 00:11:43,800 +θ باتجاه J بعد ما حصلت طلعت هكذا، قالوا يا الله + +151 +00:11:43,800 --> 00:11:46,300 +مايكروس يبقى ضخم، طب يا الله لأ مايكروس يبقى ضخم، + +152 +00:11:46,300 --> 00:11:51,540 +هذا هو حق السبب، هم يقولون ايه؟ عشان الالكترون ناقص + +153 +00:11:51,540 --> 00:11:55,480 +1.6 × 10 to the power of minus 19 قال لي ال .. ال + +154 +00:11:55,480 --> 00:12:00,100 +.. بي وبي cross ال بي V هي cross ال بي أو cross + +155 +00:12:00,100 --> 00:12:04,180 +ال Product كيف بيعمل cross ال Product هي شباب بيدربوا + +156 +00:12:04,180 --> 00:12:07,020 +في قوس هاد بيدربوا في هاد cross ال Product ايش بيطلع + +157 +00:12:07,020 --> 00:12:11,380 +سيفر بره لأن I cross ال I هو Zero أو I cross ال J + +158 +00:12:11,380 --> 00:12:18,270 +K وفي ناقص صار ناقص K إذا أنتم لماشيأضرب فضربت + +159 +00:12:18,270 --> 00:12:24,030 +ناقص 1.6 هذا في هذا ما ضربتش هذا مش واحد + +160 +00:12:24,030 --> 00:12:27,710 +يقول يبقى خير وأنا وديت هذا وهذا وأنا راح لأنه + +161 +00:12:27,710 --> 00:12:32,570 +I cross ال I Zero فضربت هذا في هذا تمام I cross ال + +162 +00:12:32,570 --> 00:12:36,630 +J طلع K وهنا في ناقص طلع ناقص K أنتم بتيجوا نفس + +163 +00:12:36,630 --> 00:12:39,850 +العملية ال E بتطلع نفس النتيجة أنا بدون ما أستخدم + +164 +00:12:39,850 --> 00:12:44,040 +ال E طلعت النتيجة في مشكلة؟ هذه أسئلة وهذه مثال + +165 +00:12:44,040 --> 00:12:51,620 +كثير سهل تطبيق فقط على القانون تمام طبعًا كيف ننزيج + +166 +00:12:51,620 --> 00:12:55,620 +قانون ننزيج نقول اتجاه القوة لازم أعرف اتجاه القوة + +167 +00:12:55,620 --> 00:12:59,700 +كيف إما بأصابعي بس انتهلها أو cross product + +168 +00:12:59,700 --> 00:13:04,800 +بطلعها تمام هجيب إننا نخش بترسيل الحركة تبع + +169 +00:13:04,800 --> 00:13:12,370 +الشحنات اتفقنا أنه أنه ما علمتين إن الأول لازم يكون + +170 +00:13:12,370 --> 00:13:16,370 +فيه تسارع لأنه فيه قوة يعني لازم ال velocity must + +171 +00:13:16,370 --> 00:13:19,670 +be changed والمعلومة الثانية ال speed must be + +172 +00:13:19,670 --> 00:13:23,550 +constant صحيح ولا لأ؟ هذه العركة كيف بدها تصير؟ + +173 +00:13:23,550 --> 00:13:25,990 +بقول motion of a charged particle in magnetic + +174 +00:13:25,990 --> 00:13:29,430 +field أدرس ليها بقول in the previous section اللي + +175 +00:13:29,430 --> 00:13:33,390 +خلصته أنا we said that the static magnetic force + +176 +00:13:33,390 --> 00:13:36,470 +could not alter the speed of the particle alter + +177 +00:13:36,470 --> 00:13:41,020 +يعني change بتغيّر ال speed of the particle لذلك + +178 +00:13:41,020 --> 00:13:44,520 +السرعة لا تتغير، فالنتيجة تسوق القوة وتغيّر + +179 +00:13:44,520 --> 00:13:47,600 +الاتجاه، لذلك الشيء الوحيد اللي يمكن فعله القوة + +180 +00:13:47,600 --> 00:13:52,960 +المغناطيسية هي تغيير اتجاه السرعة، + +181 +00:13:55,330 --> 00:13:58,690 +تمام؟ حلو؟ the acceleration therefore is + +182 +00:13:58,690 --> 00:14:02 + +201 +00:15:11,420 --> 00:15:16,160 +the direction of B أو V وB متعمدين لما يقول V وB + +202 +00:15:16,160 --> 00:15:20,000 +متعمدين إيه الصراحة في cross production بقى؟ سنة + +203 +00:15:20,000 --> 00:15:24,240 +تسعين جدا واحد إذا P و P متعاملين بيقول في هذه + +204 +00:15:24,240 --> 00:15:28,280 +الحالة the particle will move in a circle بصي عندك + +205 +00:15:28,280 --> 00:15:32,580 +حركة دورانية منتظمة نسميناها زمان في القوة + +206 +00:15:32,580 --> 00:15:37,000 +المنتظمة بيقول إن هذه بيساوي MV تربيع على R فده دي + +207 +00:15:37,000 --> 00:15:40,020 +هذي بتساقط المركزي هي القانون اللي بيضحكوه الآن + +208 +00:15:41,250 --> 00:15:44,410 +مافيش قانون جديد since the magnetic force is + +209 +00:15:44,410 --> 00:15:47,150 +always perpendicular to both v and b the circle in + +210 +00:15:47,150 --> 00:15:51,070 +a plane is a plane normal to the direction of the + +211 +00:15:51,070 --> 00:15:53,570 +magnetic field ده دي .. ده دي اللي بنشوفها now we + +212 +00:15:53,570 --> 00:15:58,230 +have f بتساوي q v cross ال b و بتساوي mv تربيع على a + +213 +00:15:58,230 --> 00:16:03,310 +بما أنه قوة centripetal إذا بتتصرف centripetal و + +214 +00:16:03,310 --> 00:16:05,490 +التصرف على الcentripetal بتساوي v تربيع على a + +215 +00:16:05,490 --> 00:16:09,470 +القانون اللي عرفناها من أول فدهوطيب لو V و V + +216 +00:16:09,470 --> 00:16:14,590 +متعامدات نصيحة القانون V و V متعامدات و بيقولك نصا + +217 +00:16:14,590 --> 00:16:17,870 +ان V and B is perpendicular عشان تقولك روح ال game + +218 +00:16:17,870 --> 00:16:23,990 +لكس الوضع طب الأهمش هاد ال V بتطيع هادي لو قولك او + +219 +00:16:23,990 --> 00:16:28,370 +دي ضعف يدك تجيبها بدك B بتجيبها بدك V بتجيبها اللي + +220 +00:16:28,370 --> 00:16:31,030 +بدك إيه إنها دي معادلة بتجيبها المهم إيش يعطيك و + +221 +00:16:31,030 --> 00:16:34,090 +إيش يقولك مجهول بس ال spirit of diversity صح؟ من + +222 +00:16:34,090 --> 00:16:39,240 +حكى إنّها velocity؟ عشان أنا شوية جيبلي a cross ال b + +223 +00:16:39,240 --> 00:16:44,880 +و اكتبليها كصيغة بجلد ال sign تكتب + +224 +00:16:44,880 --> 00:16:52,760 +a b sine الزاوية إيش هذي مش إنك تعمل هيك أصلا هي + +225 +00:16:52,760 --> 00:16:57,640 +الـ magnitude of the velocity وهي this speed تمام؟ + +226 +00:16:57,640 --> 00:16:59,860 +بس لو حولتها ل sine و cosine بطلت فيها عندك + +227 +00:16:59,860 --> 00:17:04,780 +vectors احنا لما تقول a بطل b إيه بيساوي + +228 +00:17:07,670 --> 00:17:10,630 +بكسان الزاوية إذا magnitude of a في magnitude of b + +229 +00:17:10,630 --> 00:17:15,410 +في كسان الزاوية a cross ال b magnitude of a في + +230 +00:17:15,410 --> 00:17:19,350 +magnitude of b في sin الزاوية مجرد عدد ال sin + +231 +00:17:19,350 --> 00:17:21,330 +يخلقوا magnitude على طول تمام + +232 +00:17:24,090 --> 00:17:29,150 +عامل هنا بقدر أخرج نص القطر طب لو قالك أو ضد ال + +233 +00:17:29,150 --> 00:17:34,050 +angular velocity أو ال frequency بتقدر تجيبه ال + +234 +00:17:34,050 --> 00:17:38,630 +frequency مع مين برضه؟ بتبقى معاه كمية ما هو زمان + +235 +00:17:38,630 --> 00:17:44,510 +مش موجود مع omega و omega مش مربوط مع هدول مش + +236 +00:17:44,510 --> 00:17:48,230 +omega بسبب V4 لو جيبت omega بتقدر تجيب ال + +237 +00:17:48,230 --> 00:17:51,040 +frequency بتقدر تجيب الزمان الدوري طب إذا أنا عرفت + +238 +00:17:51,040 --> 00:17:54,660 +هذه الانجلال الفيكوانسي أنت بيري دي الموشيين ار + +239 +00:17:54,660 --> 00:17:57,520 +اوميجا بدي أبيع الار و الامد دي بزمن الدوري برضه + +240 +00:17:57,520 --> 00:18:00,300 +بدي أبيع هذه المعلومات السابقة موجودة ما فيش فيها + +241 +00:18:00,300 --> 00:18:05,180 +أي مشكلة لحد الآن ما عندي القانون الوحيد اف ساوي + +242 +00:18:05,180 --> 00:18:09,520 +كيو فيكو سربيه الاف مركزية هذه مش معلومة جديدة إن + +243 +00:18:09,520 --> 00:18:12,900 +بيه تربيع على ا معلومة سابقة ومعروفة إذا ما فيش + +244 +00:18:12,900 --> 00:18:15,900 +عندي أي معلومات بس المعلومة اللي خدتها إنه لازم + +245 +00:18:15,900 --> 00:18:18,820 +الحواكب تكون دورانية عشان كده بقدر أكتب هذا شكل من + +246 +00:18:18,820 --> 00:18:24,480 +المعادلة طبعا كيف بدي أعرف الجسم اتفاقنا بدي دور + +247 +00:18:24,480 --> 00:18:26,880 +طب بدي دور مع أقرب الساعة ولا ضد أقرب الساعة + +248 +00:18:26,880 --> 00:18:30,780 +بأتمل على تجاه المجال وعلى نقطة الشحنة صح ولا لأ + +249 +00:18:30,780 --> 00:18:34,060 +خلينا نجربك التالي هل عندي مجال يبين جده ويبين + +250 +00:18:34,060 --> 00:18:38,280 +اتجاهه cross يعني إيش ال federation هل عندي شحنة + +251 +00:18:38,280 --> 00:18:42,000 +موجبة كيب المينة وإيه جيه الكيب ده تتحرك مع أقرب + +252 +00:18:42,000 --> 00:18:44,480 +الساعة ولا ضد أقرب الساعة كيف بدي أعرفه من أيديكم + +253 +00:18:44,480 --> 00:18:48,100 +اتجاه الأيدي اللي أخدته في المدارس معصر + +254 +00:18:54,550 --> 00:18:58,410 +لأ أنت بيقولي الصورة عين .. أنت اهو كده بتتحرك .. + +255 +00:18:58,410 --> 00:19:01,310 +أنا بقولك كده بتتحرك .. هي اهو صورتها .. انتش + +256 +00:19:01,310 --> 00:19:04,250 +اللي عارفه .. بيه معروف أو مش معروف .. فمن يقولي + +257 +00:19:04,250 --> 00:19:09,710 +قداش أفوان تجاهها .. + +258 +00:19:09,710 --> 00:19:14,390 +اللي أنا بتقولك هو ده افوه .. centripetal .. ليه + +259 +00:19:14,390 --> 00:19:20,200 +سميتها centripetal أنا .. سمّتها مركزية لكن غاية إن + +260 +00:19:20,200 --> 00:19:23,200 +أنا أسميها مركزية وأنا أسلم نتجاه المركزي طيب مين + +261 +00:19:23,200 --> 00:19:25,800 +هو .. مين بيبدأ على قوم الشهداء؟ بيبدؤوا على + +262 +00:19:25,800 --> 00:19:33,200 +المركز و .. و اتنى اصابيهم مع المجال يلّا مال أنت + +263 +00:19:33,200 --> 00:19:42,080 +ذاك حول اليوم؟ شباب إدهاركم من دفوع المركزي عشان + +264 +00:19:42,080 --> 00:19:45,800 +أقعدني هيك اصابيهم كله كله إذا كذا اصابني الأربعة + +265 +00:19:45,800 --> 00:19:52,540 +بضعة قارب الساعة لازم تكون ضد عقارب الساعة، مظبوط + +266 +00:19:52,540 --> 00:20:00,360 +أو لا؟ قاعد؟ إبهامكم مع المركز، لأنه تجاه القوة + +267 +00:20:00,360 --> 00:20:06,000 +المركزية، بدياكم تعرفوا تتنو into the beige مع + +268 +00:20:06,000 --> 00:20:11,080 +المجال، كيف لازم تكون متوجهين؟ عكس عقارب الساعة، + +269 +00:20:11,080 --> 00:20:13,900 +طيب لو لت مجال out of the beige، طلعوا عليه كيف + +270 +00:20:13,900 --> 00:20:16,620 +يكون؟ out of the beige، كيف تعملوا الادارة؟ + +271 +00:20:23,990 --> 00:20:27,850 +مظبوط عشان أتي هيك شباب وبيكون هاد هيك هيك لازم + +272 +00:20:27,850 --> 00:20:32,870 +يكون صح لازم يكون إيدي هيك إيدي هيك ما تويش معاقلة + +273 +00:20:32,870 --> 00:20:35,150 +بالساعة ولا لأ لإن إبهامي لازم يكون في اتجاه + +274 +00:20:35,150 --> 00:20:38,030 +المركز قطعا وأنا بدي أتي لو كان هدي out و أنا out + +275 +00:20:38,030 --> 00:20:40,770 +of the page إذا لازم يكونوا أصمي إيه هيك ما فيهوش + +276 +00:20:40,770 --> 00:20:44,030 +يكونوا هيك لو كانوا هيك صراعيش إبهامي مش اتجاه + +277 +00:20:44,030 --> 00:20:46,590 +المركز فارح؟ إذا .. + +278 +00:20:55,100 --> 00:20:59,960 +عشان تظبطوا معاكم بالظبط وتعرفوها حطوا هادي جناد + +279 +00:20:59,960 --> 00:21:07,500 +الصحة هل جيت المال القوة المركزية كيف اتجاهها I + +280 +00:21:07,500 --> 00:21:09,340 +ولا J ولا Q ولا نقص I + +281 +00:21:12,340 --> 00:21:17,320 +بتساوي Q V X B طب أنا أنا هعمل شو احنا بيجيبها هد + +282 +00:21:17,320 --> 00:21:21,980 +يقف التفاق من نقص R بتساوي .. هد بقفهاش V X + +283 +00:21:21,980 --> 00:21:40,260 +بيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكي + +284 +00:21:43,950 --> 00:21:49,130 +أنا بدي أضرب حاجة في الـK ويطلع معايا I لو ضربت J + +285 +00:21:49,130 --> 00:21:55,830 +في الـK بيطلع out J في الـK إذا القوة الأعلى مزان + +286 +00:21:55,830 --> 00:21:58,570 +الأعلى هو هنا إذا دع قارب الساعة دي كمين ولا + +287 +00:21:58,570 --> 00:22:04,070 +ماعنى؟ دع قارب الساعة طبع واحد جالي طبع أنت لاش + +288 +00:22:04,070 --> 00:22:09,170 +خد ثاني خدها هنا طبعكم صح؟ لو كانت هنا كيف رفضت + +289 +00:22:09,170 --> 00:22:18,670 +تكون السرعة؟ ناقص I نقص I القوة كيف؟ القوة نقص J، + +290 +00:22:18,670 --> 00:22:24,610 +بدأ يصير هذه نقص J، وهذه نقص K، نقص مع نقص أعلى، + +291 +00:22:24,610 --> 00:22:30,990 +بدأ يكون عندي، بدأ أضغط في K يطلع J لو جوابت K في + +292 +00:22:30,990 --> 00:22:36,050 +I، بدها تكون I في K، دي السعري، بيديها السعري في + +293 +00:22:36,050 --> 00:22:40,870 +I، اللي بتلعب هيك، لو اكتملوا لكن أصبعكم، الأربعة + +294 +00:22:40,870 --> 00:22:45,270 +بتجيبها على طول، لو ما كانش طبعا طول بديكم، كانوا + +295 +00:22:45,270 --> 00:22:49,270 +قادلين، فبنبط معاكم، بتطلع معاكم، حق، مديش إياكم + +296 +00:22:49,270 --> 00:22:52,270 +أنت بتلف واحد يقولي بدي ألف عصابي عليك، ملتفوا إيه + +297 +00:22:52,270 --> 00:22:56,230 +عصابيكم؟ قد منتميوا هيك مش واحد يقولها يوم ثاني .. + +298 +00:22:56,230 --> 00:23:01,210 +ضبطك معاه .. continue الشيء .. مع طبيعته .. تمام + +299 +00:23:01,210 --> 00:23:04,570 +.. هذه المعلومة هيكتر .. بس يا رب بقولك من ال + +300 +00:23:04,570 --> 00:23:08,650 +sense .. تعالي أفهم .. ال sense of rotation can be + +301 +00:23:08,650 --> 00:23:11,590 +determined again from the right hand rule .. نفس + +302 +00:23:11,590 --> 00:23:14,950 +القضية .. بيقول .. the thumb must now point + +303 +00:23:14,950 --> 00:23:18,850 +towards the center .. ليش؟ بيقول .. the elevation + +304 +00:23:18,850 --> 00:23:22,440 +of the force .. لأن الـ force is centrimetal + +305 +00:23:22,440 --> 00:23:25,740 +.. centrimetal يعني باتجاه المركز .. عشان كده سمّت + +306 +00:23:25,740 --> 00:23:29,540 +القوة مركزية .. لإن دائما points towards the + +307 +00:23:29,540 --> 00:23:33,580 +centers .. if P is directed into the page زمان هي + +308 +00:23:33,580 --> 00:23:36,400 +مرسومة .. a positive charge will rotate counter + +309 +00:23:36,400 --> 00:23:41,400 +clockwise .. فبالواقع نجاتي الفحصوالانجليزي يتشاجر + +310 +00:23:41,400 --> 00:23:45,840 +بروتين كلوك وعزيزي فاهمة الشباب هذه كيف بتلف طبعا + +311 +00:23:45,840 --> 00:23:48,220 +كيف تعملوها تطلع نفس الشغل عادي تعملوها كرسي + +312 +00:23:48,220 --> 00:23:52,000 +بوردكت عادي IGUJ وكده أو تستخدمو إيديكو مليونة + +313 +00:23:52,000 --> 00:23:55,660 +تطلع نفس القضية هذه بس هيك + +314 +00:24:12,800 --> 00:24:17,380 +طبعا شغال الحركة بتكون دائرة فقط في عندي شرطين إنه + +315 +00:24:17,380 --> 00:24:22,660 +B تكون Uniform و B متعامدات و B نصف غير كده احنا + +316 +00:24:22,660 --> 00:24:27,480 +مش معنين فيها طبعا في الأمور المتقدمة .. في الأمور + +317 +00:24:27,480 --> 00:24:30,880 +المتقدمة بيقولوناش هذا الكلام بيقولك اثبت إنّها + +318 +00:24:30,880 --> 00:24:34,560 +دائرة طب احنا بنعرف كيه بدي أثبت بيقولك اشتغل + +319 +00:24:34,560 --> 00:24:37,300 +رياضيات وطلع معادلة الدائرة بتعرف معادلة الدائرة؟ + +320 +00:24:44,110 --> 00:24:54,050 +أو أو x-a تربيع زاد y-b تربيع بيساوي a تربيع على + +321 +00:24:54,050 --> 00:24:58,830 +أساس إنّ ال a بيكون a سبعة السلطة مظلومة أو لا؟ وكيف + +322 +00:24:58,830 --> 00:25:03,370 +أنت تثبت إنّها بيه تقول كده؟ مش أنت بتقول f بيساوي q + +323 +00:25:03,370 --> 00:25:08,460 +v cross بيه مفروض إنّ أحد المتعمدين ينصر فيك ويقول + +324 +00:25:08,460 --> 00:25:15,460 +له هذا كيف يتعمل أقول him dv على dk وهذه تبدأ + +325 +00:25:15,460 --> 00:25:18,720 +تشتغل فيها معادلة تفاضلية وتتكامل وتعمل تطلع هذا + +326 +00:25:18,720 --> 00:25:23,140 +المعادلة معك طبعا احنا بنعملها سنة ثالثة بنعملها و + +327 +00:25:23,140 --> 00:25:25,860 +بالثباتها بتطلع عندي معادلة هدي ألف بتشتريها + +328 +00:25:25,860 --> 00:25:29,400 +بخطوطين بس شوية differential equation اللي بيعرفه + +329 +00:25:29,400 --> 00:25:32,240 +differential equation بتطلع معاه المعادلة بس احنا + +330 +00:25:32,240 --> 00:25:37,810 +اللي أنا مقتنعين ماذا اللي speak ثابتة إذا قطعا + +331 +00:25:37,810 --> 00:25:41,030 +التصارع المركزي مازال تصارع مركزي ده حاجة دورانية + +332 +00:25:41,030 --> 00:25:44,490 +انتهت هل بيبقى غزبتها رياضيا؟ بيقولك كده غزبتها + +333 +00:25:44,490 --> 00:25:49,090 +جاي قلب لو كانت V وB مش متعمدين بينهم زاوية إيش + +334 +00:25:49,090 --> 00:25:54,770 +بيطلع؟ ده لك بيطلع معادلة الهليكس شكل لولبي وهدي + +335 +00:25:54,770 --> 00:25:58,330 +برضه إيه معادلة رياضية بتطلع معاك برضه لو كانت V + +336 +00:25:58,330 --> 00:26:02,510 +وB مش متعمدين هذه خلصنا منها فهي طبعا ال F و ال V + +337 +00:26:02,510 --> 00:26:05,750 +طبعا إنّ ال F مركز يقعط عنه و ال V ثاني هي الكوكب + +338 +00:26:05,750 --> 00:26:09,440 +تعرفوهيقول if the velocity of the charged particle + +339 +00:26:09,440 --> 00:26:12,440 +and the magnetic field are not perpendicular مكنوش + +340 +00:26:12,440 --> 00:26:16,700 +متعامدين وبالتالي فيه صيني الزاوية the birth of a + +341 +00:26:16,700 --> 00:26:21,040 +helix whose axis is parallel to B بيكون helix بس + +342 +00:26:21,040 --> 00:26:25,460 +إيش هي دائرة بس إيش helix هو دائرة تنشيت صح ولا لأ + +343 +00:26:25,460 --> 00:26:30,320 +لما الدائرة هي حالة دوامية بس بتتحرك فبتشكل شكلها + +344 +00:26:30,320 --> 00:26:33,580 +لولبي زي الظلمة الظلمة بالظبط بيكون هيك شكلها + +345 +00:26:33,580 --> 00:26:37,270 +وهذا اتجاه الصلاة يا شباب بتكون تتحول، لكن لما يكون + +346 +00:26:37,270 --> 00:26:41,390 +متعاندين، تصير لأ السرعة بضارة أكتر، المركز بيغيرش + +347 +00:26:41,390 --> 00:26:45,430 +زي لما يكون السرعة مش متعاندة، مش مهم، تشوف رقم + +348 +00:26:45,430 --> 00:26:50,140 +السرعة فقضيق مباشر، شوفوا الأمثلة أغلبها كثير سهلة + +349 +00:26:50,140 --> 00:26:56,980 +بيقول الإلكترون جسمه شحنته ثاني بأو لا؟ ثاني بأو + +350 +00:26:56,980 --> 00:26:57,240 +لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني + +351 +00:26:57,240 --> 00:26:58,620 +بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ + +352 +00:26:58,620 --> 00:26:59,220 +ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو + +353 +00:26:59,220 --> 00:27:01,760 +لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني + +354 +00:27:01,760 --> 00:27:06,100 +بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ + +355 +00:27:06,100 --> 00:27:13,360 +ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو أصلا صراعة أما + +356 +00:27:13,360 --> 00:27:17,160 +هو كان في الأول ساكن هطلق اجري جباله وشحنه موجة + +357 +00:27:17,160 --> 00:27:21,420 +بقى اجري اجري صراعة بعد بوصل هنا دخلت مجال + +358 +00:27:21,420 --> 00:27:25,820 +مغناطيسي it then enters a region of uniform + +359 +00:27:25,820 --> 00:27:29,240 +magnetic field and follows a circular path طبعا + +360 +00:27:29,240 --> 00:27:33,640 +بدي أتحرك حاجة دورانية ما اتفقنا of radius 7.5 cm + +361 +00:27:33,640 --> 00:27:36,980 +و ذاك ال radius if its velocity is perpendicular + +362 +00:27:36,980 --> 00:27:40,340 +to b اللي قصة بوداك روحت تمام هي أعطاك المعلومة + +363 +00:27:40,340 --> 00:27:44,750 +كاملة إيش بده؟ تقولي لـ magnitude of P، بدو P، + +364 +00:27:44,750 --> 00:27:48,530 +بدو P، the angular speed of the electron، بدو + +365 +00:27:48,530 --> 00:27:54,970 +Omega، P القانون المعروف في ده، U, V, P، راح تقصه + +366 +00:27:54,970 --> 00:28:00,190 +بدا، فالحياة خلّت، بالثوري، M، V تربيع، عقلها، + +367 +00:28:00,190 --> 00:28:04,870 +بقلة، تمام، هذه الـV تربيع راح أتبَع حالي، هذا ال + +368 +00:28:04,870 --> 00:28:05,970 +electrode، الـ + +401 +00:30:45,470 --> 00:30:51,160 +10⁻⁴ Tesla طبعا الـ Tesla شباب واحدة كبيرة، فالتسلا + +402 +00:30:51,160 --> 00:30:53,900 +واحدة كبيرة، لما أقول أنا عندي 1 تسلا يعني + +403 +00:30:53,900 --> 00:30:56,920 +المجال مقاسه قوي، عشان كده غالبا بيستخدموا الـ gauss + +404 +00:30:56,920 --> 00:31:00,320 +لإن هو أصغر شوية، فالتسلا واحدة كبيرة يعني لما أقول + +405 +00:31:00,320 --> 00:31:06,200 +1 تسلا مقداره كبير، وين قلت لك من اللي أخدت + +406 +00:31:06,200 --> 00:31:08,500 +الموجة أبدا؟ ما عايز أسألها، لو واحد ما سألها + +407 +00:31:08,500 --> 00:31:14,600 +ما خلص، ما عدت محل اللي هنا ما أخذتش، يعني أنا قاعد + +408 +00:31:14,600 --> 00:31:20,550 +بأدرس الـ magnitude وبأدرس الـ direction، the angular + +409 +00:31:20,550 --> 00:31:25,750 +speed ω بيساوي V على R، و بنسميها ω عادي زي + +410 +00:31:25,750 --> 00:31:28,710 +ما تشوفوا الحياة دلوقتي، الأسئلة مافيش فيها أي مشكلة + +411 +00:31:28,710 --> 00:31:36,210 +تطبيق مباشر لقانون وحيد، q في v كروس b بيساوي Fm، الـ + +412 +00:31:36,210 --> 00:31:41,610 +magnetic force هذه تحصيل حاصل الـ magnetic force + +413 +00:31:41,610 --> 00:31:45,570 +on a current carrying wire تقول لي هو الشحنات أنا + +414 +00:31:45,570 --> 00:31:49,720 +أمري شفتها أنا، إيش اللي بحس فيه؟ هذا الضوء، بقول + +415 +00:31:49,720 --> 00:31:53,420 +فيه شحنات ولا فيه تيار في الآخر؟ تيار، طبعا التيار + +416 +00:31:53,420 --> 00:31:56,580 +ضمن أن مافيه شحنات متحركة، صح ولا لأ؟ إذا أنا بدي + +417 +00:31:56,580 --> 00:32:01,720 +قانون بدلالة التيار، التيار يعني فيه سلك، صح ولا + +418 +00:32:01,720 --> 00:32:05,940 +لأ؟ فبيقول لي أوجد لي magnetic force on a current + +419 +00:32:05,940 --> 00:32:11,440 +carrying wire لسلك يحمل تيار، حلو، هاي السلك + +420 +00:32:14,230 --> 00:32:17,910 +بقول it is known that current is a collective of + +421 +00:32:17,910 --> 00:32:22,470 +moving charges of the same sign، صح تمام، this means + +422 +00:32:22,470 --> 00:32:24,930 +that any current carrying wire experiences a + +423 +00:32:24,930 --> 00:32:29,350 +magnetic force، إذا أي سلك بيحمل تيار معه فيه + +424 +00:32:29,350 --> 00:32:34,090 +شحنات تتحرك موجودة في مجال، إذا بدها تكون عليها قوة + +425 +00:32:34,090 --> 00:32:37,760 +معطاة ولا لا، خلينا نقول التالي يا شباب، لو أنا عندي + +426 +00:32:37,760 --> 00:32:42,540 +مصورة فاضية بلاستيك محطوطة عليها الطاولة وبتتحرك + +427 +00:32:42,540 --> 00:32:47,180 +إيش ده business ساعتها؟ بتتحرك هيك؟ في حاجة جوا + +428 +00:32:47,180 --> 00:32:51,240 +إنما مركوبة؟ أو في حاجة جوا بتتحرك؟ صح ولا لا؟ + +429 +00:32:51,240 --> 00:32:55,980 +خلينا ندى نفاق بسيط، نعرخه، نطلع في الفران، نفترض + +430 +00:32:55,980 --> 00:33:01,400 +فيه 5 فران جوا، و بتتحركوا، بتدرسلت؟ ولا بتتحرك + +431 +00:33:01,400 --> 00:33:07,520 +معاهم؟ خلوا الفران هم الشحنات، لو بدك تجيب قوة على + +432 +00:33:07,520 --> 00:33:13,320 +المصورة لو كل فار فيه قوة عليه 5 نيوتن، جدش + +433 +00:33:13,320 --> 00:33:17,420 +القوة الكلية وهم 5 فران، 15 نيوتن، إذا أنا + +434 +00:33:17,420 --> 00:33:20,340 +عشان أجيب القوة الكلية، كيف بدي أعملها؟ أنا بجيبها مثال + +435 +00:33:20,340 --> 00:33:23,100 +لو أنت أقبصتها مصورة فيها فار ومصورة فيها 5 + +436 +00:33:23,100 --> 00:33:26,860 +فران، مين أسرع؟ 5 فران، 5 فران طبعا لحرقوها جوا + +437 +00:33:26,860 --> 00:33:30,940 +تمام، حاجات الفران هم الشحنات، فار + +438 +00:33:33,320 --> 00:33:35,840 +صح ولا لا؟ صح ولا لا؟ صح ولا لا؟ صح ولا لا؟ صح و + +439 +00:33:35,840 --> 00:33:39,100 +لا لا صح ولا لا صح ولا لا صح ولا لا صح ولا لا + +440 +00:33:39,100 --> 00:33:41,080 +صح ولا لا؟ صح ولا لا؟ صح ولا لا؟ صح ولا لا؟ صح و + +441 +00:33:41,080 --> 00:33:45,560 +لا لا صح ولا لا صح ولا لا صح ولا لا صح ولا لا + +442 +00:33:45,560 --> 00:33:45,680 +صح ولا لا؟ صح ولا لا؟ صح ولا لا؟ صح ولا لا؟ صح و + +443 +00:33:45,680 --> 00:33:46,100 +لا لا صح ولا لا صح ولا لا صح ولا لا صح ولا لا + +444 +00:33:46,100 --> 00:33:46,300 +لا لا صح ولا لا صح ولا لا صح ولا لا صح ولا لا + +445 +00:33:46,300 --> 00:33:47,480 +صح ولا لا؟ صح ولا لا؟ صح ولا لا؟ صح ولا لا؟ صح و + +446 +00:33:47,480 --> 00:33:54,920 +لا لا صح ولا لا صح ولا لا صح ولا لا صح ولا لا هذا + +447 +00:33:54,920 --> 00:34:00,460 +يعني أن التيار مجموعة من شحنات متحركة، هنا التيار + +448 +00:34:00,460 --> 00:34:05,860 +مجموعة من شحنات، تمام؟ بتتحرك بنفس الاتجاه، هذا يعني + +449 +00:34:05,860 --> 00:34:09,220 +أن أي تيار يجرب، يجرب، يجرب، يجرب، يجرب، يجرب + +450 +00:34:09,220 --> 00:34:09,440 +يجرب، يجرب، يجرب، يجرب، يجرب، يجرب، يجرب، يجرب + +451 +00:34:09,440 --> 00:34:09,760 +يجرب، يجرب، يجرب، يجرب، يجرب، يجرب، يجرب، يجرب + +452 +00:34:09,760 --> 00:34:10,300 +يجرب، يجرب، يجرب، يجرب، يجرب، يجرب، يجرب، يجرب + +453 +00:34:10,300 --> 00:34:12,400 +يجرب، يجرب، يجرب، يجرب، يجرب، يجرب، يجرب، يجرب + +454 +00:34:12,400 --> 00:34:16,720 +يجرب، يجرب، يجرب، + +455 +00:34:17,970 --> 00:34:21,310 +Vector sum of the individual forces on that + +456 +00:34:21,310 --> 00:34:26,970 +charged particle، هاي السلك وهي واحد من الفيران، لما + +457 +00:34:26,970 --> 00:34:31,190 +أنا بتحركك، أنا هجيب قوة بس ده فرواح، فهذا بيكون جزء + +458 +00:34:31,190 --> 00:34:35,270 +من القوة، يكون قوة، فهذا الـ d اتبعها dF طبعا عشان + +459 +00:34:35,270 --> 00:34:40,610 +أجيب F بشوف كام؟ كام كذا فرواح كذا؟ شو هنعملهم من + +460 +00:34:40,610 --> 00:34:43,590 +جميع ما يكونوا، let us consider a straight portion + +461 +00:34:43,590 --> 00:34:49,920 +of wire، هذا السلك مستقيم، والشحنات المتحركة هي إيه؟ + +462 +00:34:49,920 --> 00:34:54,800 +الشحنات المتحركة + +463 +00:34:54,800 --> 00:34:59,580 +هي إيه؟ + +464 +00:34:59,580 --> 00:35:05,560 +الشحنات الموجية هي إيه؟ الشحنات المتحركة هي إيه؟ + +465 +00:35:05,560 --> 00:35:14,200 +الشحنات المتحركة هي إيه؟ الشحنات الموجية هي إيه؟ + +466 +00:35:14,200 --> 00:35:14,760 +الشحنات المتحركة هي إيه؟ الشحنات المتحركة هي إيه؟ + +467 +00:35:14,760 --> 00:35:20,180 +الشحبيقول بـ magnetic force on a single charge dQ + +468 +00:35:20,180 --> 00:35:24,400 +moving with a drift v، vD is، هذه vF بس لشحنة + +469 +00:35:24,400 --> 00:35:29,540 +واحدة، بس لشحنة واحدة، dQ v كروس v، طيب كامل يلا + +470 +00:35:29,540 --> 00:35:34,120 +نكامل، بيقول بس كامل، ما كامل، خلينا نشتر شوية نجيبها + +471 +00:35:34,120 --> 00:35:37,140 +في درجة التيار، في عندك معلومة بتقول dQ بيساوي I dt + +472 +00:35:37,140 --> 00:35:42,240 +أو I بيساوي dQ على dt، ولا لأ؟ إذا نبدأ الـ dQ هذه، بدك + +473 +00:35:42,240 --> 00:35:49,980 +تحط محلها I dt، طيب حطيت محلها I dt، طيب هذه سرعة + +474 +00:35:49,980 --> 00:35:54,820 +وهذه زمان، سرعة وزمان، إيش بيعطيك؟ طب والمسافة + +475 +00:35:54,820 --> 00:36:04,280 +وينها؟ طول السلك مظبوط ولا لأ؟ إذا dt في v بيعطيك d + +476 +00:36:04,280 --> 00:36:11,220 +L، جزء من السلك اللي هو، تمام؟ لو إن ذات v في dt بيساوي + +477 +00:36:11,220 --> 00:36:17,100 +dL اللي هي الإزاحة، إذا بيقول لك صوت هيك، I dL كروس + +478 +00:36:17,100 --> 00:36:22,020 +الـ b حلو، جاني الآن، for straight wires we can + +479 +00:36:22,020 --> 00:36:26,360 +integrate the last equation to obtain، إيش تكامل الـ + +480 +00:36:26,360 --> 00:36:32,560 +dL؟ الـ تكامل الـ dL، كاملتها على اعتبار أن b is + +481 +00:36:32,560 --> 00:36:36,760 +uniform، كاملتها طيب هل دائما تكامل الـ dL؟ + +482 +00:36:40,210 --> 00:36:43,470 +إلا إذا .. هذه طبعا الـ integral كانت كواسية، إيه سيكمل + +483 +00:36:43,470 --> 00:36:48,770 +الـ dx؟ x عادي، طيب في الـ physics مش دائما dx + +484 +00:36:48,770 --> 00:36:53,630 +بيساو x، لو كانت x is a vector quantity، بتطلعها + +485 +00:36:53,630 --> 00:36:58,590 +بتساويش x، لإن قبل ما أكامل، بنفع أكامل غير لما أحلل + +486 +00:36:58,590 --> 00:37:04,480 +بدي أحلل، ولما أحلل مش في مركبات، بتضيق مرات، أحنا + +487 +00:37:04,480 --> 00:37:07,380 +جبناها في الامتحان عشان ما أضيعش وأنا مركبة، إذا + +488 +00:37:07,380 --> 00:37:10,200 +أنا جبناها في الامتحان عشان أنا أعرف من فهم من + +489 +00:37:10,200 --> 00:37:15,040 +نوع كامل، أنا لما نحلل ونحلل ونكامل، مركبات صغيرة + +490 +00:37:15,040 --> 00:37:17,820 +لحالها ومركبات صغيرة لحالها، بيقولوا لما يكون الـ + +491 +00:37:17,820 --> 00:37:23,320 +straight wire، نرجع للفران، لما يكون السلك مستقيم مش + +492 +00:37:23,320 --> 00:37:26,160 +كل الفران بيكونوا في نفس الاتجاه، ولما يكونوا في نفس + +493 +00:37:26,160 --> 00:37:31,770 +الاتجاه، بيدخلوا لأ، لكن لو كان السلك هيك، هيجيب الفرق + +494 +00:37:31,770 --> 00:37:34,430 +اللي هان والفرق اللي هان، لنفس السرعة كـ direction + +495 +00:37:34,430 --> 00:37:37,230 +لأ، هذا الـ direction تبقى هكذا، وهذا الـ direction + +496 +00:37:37,230 --> 00:37:40,050 +تبقى هكذا، مقبض، تبقى مقبض لواحدة خمسة أو تلاتة بقول + +497 +00:37:40,050 --> 00:37:44,570 +ثمانية لأ، إذا ما وقفتيش، أنا بقول تكامل الـ dL اللي + +498 +00:37:44,570 --> 00:37:47,970 +بيساوي فقط للـ straight wires، طب لو مش straight + +499 +00:37:47,970 --> 00:37:53,010 +بقول، ياخدشوف، هذا قانون جديد، طب عايش بيفرج عن هذا + +500 +00:37:53,010 --> 00:37:59,420 +شباب بس هو q v كروس b، القانون اللي جيت بدل الـ q إيش + +501 +00:37:59,420 --> 00:38:06,640 +حطيت i، مش بجربه بعد، بدل v حطيت l v، سرعة و l إزاحة + +502 +00:38:06,640 --> 00:38:09,800 +برضه بينهم علاقة ولا لأ؟ عشان القانونين أقدر + +503 +00:38:09,800 --> 00:38:15,680 +أحفظهم، الـ q v كروس b، و i l كروس b، الـ b ده لازم هي، بدل v + +504 +00:38:15,680 --> 00:38:21,940 +صدرتها بـ l، وبدل q صدرت بـ i، إذا نفس القانون، بقى له for + +505 +00:38:21,940 --> 00:38:27,760 +straight wires، بس للأسلاك المستقيمة، طيب بيقول if + +506 +00:38:27,760 --> 00:38:30,040 +the wire is not straight، إيش هسوي؟ قال خليه + +507 +00:38:30,040 --> 00:38:33,560 +يتكامل، يتكاملش، خليها يتكامل زي ما هي، if the wire + +508 +00:38:33,560 --> 00:38:35,600 +is not straight we have to find the force on a + +509 +00:38:35,600 --> 00:38:39,840 +small segment and then integrate it، هيكون القانون، + +510 +00:38:39,840 --> 00:38:43,400 +مش حتى جدالة كاملة، طيب جينيك بتقول خلينا نكامله، + +511 +00:38:43,400 --> 00:38:47,590 +نجرب نكامله، بتقول إيه b is uniform، واحدة واحدة طلع لي + +512 +00:38:47,590 --> 00:38:51,510 +b برا التكامل على اعتبار أن b is uniform، تمام؟ طلع + +513 +00:38:51,510 --> 00:38:55,170 +b برا، إذا وقتين، فقدرنا نطلع b برا لو كانت b + +514 +00:38:55,170 --> 00:38:59,410 +uniform، ثابتة، b تطلع برة التكامل، عشان اللي طلع + +515 +00:38:59,410 --> 00:39:02,430 +برة التكامل لازم تكون ثابتة، إذا b is uniform، هيك + +516 +00:39:02,430 --> 00:39:08,070 +بصي القانون، تقول التكامل يدي l كروس الـ b، هذا + +517 +00:39:08,070 --> 00:39:12,330 +التكامل vector هذا بيساوي l، بقوله بيساويش l، بيساوي + +518 +00:39:12,330 --> 00:39:18,070 +الشرطة مش هي الشرطة هذه، خليني أجرب .. اه ببطارية + +519 +00:39:18,070 --> 00:39:21,550 +تساوي l .. وكيف تساوي l؟ لما يكون مستقيم .. هذا ما + +520 +00:39:21,550 --> 00:39:24,710 +نشوف .. و l .. هاي إيه؟ هاي إيه السلك؟ هم مستقيم + +521 +00:39:24,710 --> 00:39:30,310 +ولا مائل؟ كيف بدك تعمله؟ جيب لي دي l .. مش d l + +522 +00:39:30,310 --> 00:39:35,530 +يعني .. مش d l جزء .. كم جزء هذا السلك فيه .. + +523 +00:39:35,530 --> 00:39:38,550 +خليني أجسم معكم لعدة أجزاء .. هي كم جزء عملت .. + +524 +00:39:38,550 --> 00:39:42,870 +هي d l أجزاء، هذه الـ l's بنفع أجمعهم مع بعض عادي + +525 +00:39:42,870 --> 00:39:46,610 +هدول، هذه الـ d ل عشان كله أجمعهم واحد، عشان أجمعهم + +526 +00:39:46,610 --> 00:39:53,850 +مش لازم أسوي، أكملهم، بدي أحللهم، يلا نحللهم مش + +527 +00:39:53,850 --> 00:39:58,830 +هي حللتهم؟ شوفوا لي يا شباب، المكونات الاقتصادية يسار + +528 +00:39:58,830 --> 00:40:02,570 +فيها، + +529 +00:40:02,570 --> 00:40:09,860 +هذه لغت هذه، وهذه لغت هذه، وهذه لغت هذه، وهذه لغت + +530 +00:40:09,860 --> 00:40:15,500 +هذه، وهذه لغت هذه، وهذه لغت هذه، وهذه لغت هذه، و + +531 +00:40:15,500 --> 00:40:19,240 +هذه لغت هذه، وهذه لغت هذه، وهذه لغت هذه، وهذه لغت + +532 +00:40:19,240 --> 00:40:21,180 +هذه، وهذه لغت هذه، وهذه لغت هذه، وهذه لغت هذه، و + +533 +00:40:21,180 --> 00:40:21,940 +هذه لغت هذه، وهذه لغت هذه، وهذه لغت هذه، لغت هذه + +534 +00:40:21,940 --> 00:40:22,580 +لغت هذه، لغت هذه، لغت هذه، لغت هذه، لغت هذه، لغت هذه + +535 +00:40:22,580 --> 00:40:22,620 +لغت هذه، لغت هذه، لغت هذه، لغت هذه، لغت هذه، لغت هذه + +536 +00:40:22,620 --> 00:40:22,660 +لغت هذه، لغت هذه، لغت هذه، لغت هذه، لغت هذه، لغت هذه + +537 +00:40:22,660 --> 00:40:30,420 +لغت هذه، لغت هذه، لغت هذه، لغت هذه، لغت هذه، لغت + +538 +00:40:30,420 --> 00:40:32,120 +هذه، لغت هذه + +539 +00:40:35,360 --> 00:40:38,180 +يجربوا يعملوا لهم برق، بيبقى الـ point، الـ animation + +540 +00:40:38,180 --> 00:40:46,860 +هتطلع روحه، وبيعمل فيهم بطول، اه إيش طلع؟ الخط من + +541 +00:40:46,860 --> 00:40:51,800 +أول السلك لآخر السلك، من أول السلك لآخر السلك، إذا + +542 +00:40:51,800 --> 00:40:55,120 +طلع خط مستقيم من أول السلك لآخر السلك، طيب لو + +543 +00:40:55,120 --> 00:40:58,700 +قلت لكم جدش الـ l وجدش الـ l' كمقدار، خليها دي نص + +544 +00:40:58,700 --> 00:41:04,480 +دائرة، اعتبرها جدش الـ l مش l'، l المفروض لو + +545 +00:41:04,480 --> 00:41:10,040 +بيوجد طول الـ course مش باي، فأه، نص خطور، نص محيط، طب + +546 +00:41:10,040 --> 00:41:16,000 +و l'، هذه l، طب l' بيساوي بقى إذا تقطع تكامل + +547 +00:41:16,000 --> 00:41:19,400 +الـ dL بيساوي l، بيساوي l'، والشيء اللي شرطة + +548 +00:41:19,400 --> 00:41:24,100 +أكتر منها الآن، is the straight line of from i to f + +549 +00:41:24,100 --> 00:41:27,160 +يعني من بداية السلك لنهاية السلك، من بداية السلك + +550 +00:41:27,160 --> 00:41:29,500 +لنهاية السلك، طيب هذا السلك + +551 +00:41:33,060 --> 00:41:38,180 +وإن إيه الشرطة؟ طب + +552 +00:41:38,180 --> 00:41:42,100 +كيف بتعرف أنا i لـ f، من i لـ f؟ اللي بيخليني أقول + +553 +00:41:42,100 --> 00:41:46,900 +بداية ونهاية تجاه التيار، فهذا معناه أنا من هنا + +554 +00:41:46,900 --> 00:41:50,740 +التيار ماشي، فبقول هاي الشرطة، لو التيار ماشي هيك + +555 +00:41:50,740 --> 00:41:53,360 +بقول هاي initial وهاي الـ final، إذا i و f اللي + +556 +00:41:53,360 --> 00:41:58,300 +بيحددوا تجاه التيار، طب سؤالي الآن لو هذا السلك + +557 +00:41:58,300 --> 00:42:03,110 +وين بداته وين نهايته؟ قدش المسافة بين البداية و + +558 +00:42:03,110 --> 00:42:12,830 +النهاية؟ فقط .. فقط .. فقط + +559 +00:42:12,830 --> 00:42:13,250 +.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط + +560 +00:42:13,250 --> 00:42:14,630 +.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط + +561 +00:42:14,630 --> 00:42:16,810 +.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط + +562 +00:42:16,810 --> 00:42:17,370 +.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط + +563 +00:42:17,370 --> 00:42:24,190 +.. فقط .. فقط .. فقط .. فقط + +564 +00:42:25,440 --> 00:42:29,520 +هي الـ l'، هي الـ l'، إذاً is a straight line + +565 +00:42:29,520 --> 00:42:34,060 +from + +601 +00:44:59,230 --> 00:45:02,290 +اتشمل نشتري لكن لو عملناها اللي عملت هيك كده + +602 +00:45:02,290 --> 00:45:05,850 +ماحد شمر كده ماحد بس شمير صعب نشبر ساعات أحيانا يفكر + +603 +00:45:05,850 --> 00:45:08,890 +يكسب و أننا zero لكن لما أنا جايك حلوة نرحل + +604 +00:45:08,890 --> 00:45:12,630 +نتشمرلها فلنا حلو لكن برضه حلوة هو نتشمرلها صحيح + +605 +00:45:12,630 --> 00:45:16,490 +لكن لو هو في الطعام و رايح و جاي و قهوة و شاي و + +606 +00:45:16,490 --> 00:45:20,530 +وقته معه بطلعها zero في الأكل تمام؟ فهذه المقالة + +607 +00:45:20,530 --> 00:45:21,250 +المطلوبة منها + +608 +00:45:29,580 --> 00:45:36,220 +القوة المجنونة على مجرد + +609 +00:45:36,220 --> 00:45:38,920 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +610 +00:45:38,920 --> 00:45:42,460 +مجرد مجرد مجرد + +611 +00:45:54,330 --> 00:45:57,850 +الرسم اللي كنت جايبها من النت حاطط I بتجاه الأصالة + +612 +00:45:57,850 --> 00:46:01,250 +الأربعة تمام؟ of the current instead of the + +613 +00:46:01,250 --> 00:46:06,760 +velocity هذه هي السؤال بيقولي a wire bent into a + +614 +00:46:06,760 --> 00:46:10,340 +semicircle of radius capital R and carries a + +615 +00:46:10,340 --> 00:46:14,040 +current I هذه هي السؤالة تشوفوا هذه الأزرق مع + +616 +00:46:14,040 --> 00:46:17,440 +الأخضر إغلاقه أو لا إغلاقه إغلاقه كمان يجب أن يكون + +617 +00:46:19,750 --> 00:46:23,530 +طبعا الآن بيقولي أنت لو عطيتلي zero بيبقى لها منك + +618 +00:46:23,530 --> 00:46:26,630 +لكن أنا بدي أحلها بالتفصيل بدي أشمر زي ما شمرت هنا + +619 +00:46:26,630 --> 00:46:31,210 +تمام؟ شمر وطلع إجابة صح وماتفرجش معاك تمام؟ حاجة + +620 +00:46:31,210 --> 00:46:35,170 +هنا، قول zero على ال total loop بتطلع صحيحة بس هو + +621 +00:46:35,170 --> 00:46:38,030 +مش طايب لك ال total loop، إيش بيقول لك؟ the wire + +622 +00:46:38,030 --> 00:46:40,790 +lying in the x-y plane والمجتمع تكفي تجاه الأعلى + +623 +00:46:40,790 --> 00:46:45,170 +وكل شماطة؟ find Fm on the straight portion of the + +624 +00:46:45,170 --> 00:46:47,650 +loop، بس ال straight portion، ال straight portion + +625 +00:46:47,650 --> 00:46:52,110 +لحاله closed؟ لأ .. and the kid goes to the toilet + +626 +00:46:52,110 --> 00:46:54,670 +.. والـ ghost اللي .. لأ بس .. لما نجمعهم ليش + +627 +00:46:54,670 --> 00:46:59,760 +اللي مطلع؟ لازم يطلع Zero .. تمام؟ بنجرب نقول ال + +628 +00:46:59,760 --> 00:47:04,240 +solution أنا عندي سلكين سلك straight وسلك not + +629 +00:47:04,240 --> 00:47:08,280 +straight لل straight يبقى القانون F بيساوي I L كنص + +630 +00:47:08,280 --> 00:47:13,880 +ال B للكيرف في قانون ثاني L شرطة وL شرطة هو طول + +631 +00:47:13,880 --> 00:47:18,240 +الكيرف الخط المستقيم من أول كيرف لآخر الكيرف بقول + +632 +00:47:18,240 --> 00:47:20,080 +for the straight portion أنت من ال straight + +633 +00:47:20,080 --> 00:47:22,680 +portion لسه هم هي قانون لل straight portion فتقول + +634 +00:47:22,680 --> 00:47:27,620 +جنب هذا for the straight portion هذا هو الـ + +635 +00:47:27,620 --> 00:47:33,700 +straight الأزرق شباب حاجة L إيش هأحطه اتجاهها؟ R + +636 +00:47:33,700 --> 00:47:40,720 +طولها 2R 2R 2R 2R 2R + +637 +00:47:40,720 --> 00:47:41,000 +2R 2R 2R 2R 2R 2R + +638 +00:47:41,000 --> 00:47:42,100 +2R 2R 2R 2R 2R 2R + +639 +00:47:42,100 --> 00:47:44,100 +2R 2R 2R 2R 2R 2R + +640 +00:47:44,100 --> 00:47:45,380 +2R 2R 2R 2R 2R 2R + +641 +00:47:45,380 --> 00:47:45,500 +2R 2R 2R 2R 2R 2R + +642 +00:47:45,500 --> 00:47:50,340 +2R 2R 2R 2 + +643 +00:47:51,740 --> 00:47:55,780 +في مشكلة؟ يلا شوف ال curved بيقولي for the curved + +644 +00:47:55,780 --> 00:48:00,880 +portion إيه الشرطة؟ وإيه الشرطة جالي طول المستقيم + +645 +00:48:00,880 --> 00:48:04,540 +من بداية ال wire لم نهايته؟ طبعا التيار كيف بده يبدأ؟ + +646 +00:48:04,540 --> 00:48:08,380 +البداية من هنا أو من هنا في القدر؟ تشوف التيار + +647 +00:48:08,380 --> 00:48:11,840 +من وجهي؟ من هنا طيب أنا بدي إيه الشرطة؟ بيقولي هي + +648 +00:48:11,840 --> 00:48:16,360 +البداية وهي النهاية؟ هي الشرطة؟ بس ناقص عليه + +649 +00:48:16,360 --> 00:48:22,830 +الطول إذا كنت جايبها سالب نقص 2 طلعت ثانية + +650 +00:48:22,830 --> 00:48:29,030 +فبجمعهم طلعت Zero صحيحة أقولها طبعا هو ليه جمعت + +651 +00:48:29,030 --> 00:48:33,170 +البارحة؟ لأن هو مجالك أوديديت Total جالك أوديديت + +652 +00:48:33,170 --> 00:48:37,710 +قوة على السيط العيالي والكوب دهالك إذا كان فرق + +653 +00:48:37,710 --> 00:48:42,410 +الثاني بحكي سنة وست دقائق صحيحة أنا accept it + +654 +00:49:11,250 --> 00:49:16,980 +هذا القانون جلب الدنيا كلها سؤال يعني قبل ما نبدأ + +655 +00:49:16,980 --> 00:49:25,600 +هذا خشب يا شباب، هذا قوة 5 نيوتن وهذا قوة 5 + +656 +00:49:25,600 --> 00:49:32,300 +نيوتن قبل الدوران، ده ليه ال total force؟ Zero ال + +657 +00:49:32,300 --> 00:49:35,780 +total force Zero، لكن بتتحرك أو ماتتحركش؟ بتدور، + +658 +00:49:35,780 --> 00:49:40,960 +بتدور، صح أو لا؟ بتدور حولين إيه؟ ال total force + +659 +00:49:40,960 --> 00:49:45,370 +واضح، لكن هو بيدور لكن إسم الرقماز تبعته بتتحرك أكتر، + +660 +00:49:45,370 --> 00:49:49,610 +مافيش طرق عقود إذا ممكن جسم يدور حتى لو ال net + +661 +00:49:49,610 --> 00:49:53,410 +force تبعته بتساوي zero أو لا، طب هو اللي بيجي + +662 +00:49:53,410 --> 00:49:59,050 +يشوف torque on a current loop consider a + +663 +00:49:59,050 --> 00:50:02,790 +rectangular loop rectangular loop يعني loop عبارة + +664 +00:50:02,790 --> 00:50:06,990 +عن مستطيل، طب المستطيل closed أو مش closed؟ موجود + +665 +00:50:06,990 --> 00:50:11,060 +في مجال المنطقة المتضمنة، ليش بقوة كلية؟ Zero هذه + +666 +00:50:11,060 --> 00:50:13,380 +مضطرة، إذا كنت تقول له أوجد القوة كلية، فأقول له + +667 +00:50:13,380 --> 00:50:18,320 +Zero Consider a loop of sides A and B طولها A وB، + +668 +00:50:18,320 --> 00:50:21,760 +هذا مستطيل، طولها أربعة جوانب Carrying a current + +669 +00:50:21,760 --> 00:50:26,380 +I، في التيار And it nears in a uniform magnetic + +670 +00:50:26,380 --> 00:50:28,280 +field، هو موجود في مجال موحد، هي مجال + +671 +00:50:28,280 --> 00:50:32,380 +موحد، اتجاه التيار، باتجاه الـI وهي ال loop + +672 +00:50:32,380 --> 00:50:36,800 +تبعها، وهي التيار دي A وهي دي B، وهي التيار بهذا + +673 +00:50:36,800 --> 00:50:42,440 +الشكل، تمام؟ بتجيب القوة اللي عليها ال total قوة + +674 +00:50:42,440 --> 00:50:48,500 +كده؟ ال total force zero لأنها closed طب كم + +675 +00:50:48,500 --> 00:50:51,860 +ضلع؟ المرة هذه كتابة في المثال السابق قال في + +676 +00:50:51,860 --> 00:50:55,080 +ضلعين المنحني والمستقيم جماعتهم ضلعهم zero هدول + +677 +00:50:55,080 --> 00:50:59,760 +بتجيب القوة كم ضلع؟ بتجيبو ضلع ضلع أنا وياكم لما + +678 +00:50:59,760 --> 00:51:04,100 +أجمع الأربعة أضلاع لازم كده؟ Zero نبدأ نشوف الضلع + +679 +00:51:04,100 --> 00:51:04,500 +الأول + +680 +00:51:09,190 --> 00:51:11,950 +لماذا؟ لأنهم موازي لـB، براوع عليكم، طب و + +681 +00:51:11,950 --> 00:51:16,630 +التحتاني؟ لازم هي الاتنين رايحون، ضال الاتنين، + +682 +00:51:16,630 --> 00:51:20,190 +لازم يكون واحد عكس الثاني، صح أو لا؟ بيجي نبدأ، + +683 +00:51:20,190 --> 00:51:23,510 +بيقول for the horizontal sides، الفوقاني و + +684 +00:51:23,510 --> 00:51:27,390 +التحتاني، ال horizontal sides of the loop, the + +685 +00:51:27,390 --> 00:51:31,210 +direction of current is going to be، صحيح أو لا؟ + +686 +00:51:31,210 --> 00:51:36,690 +هذا هم وقاعد معه وقاعد ضده في نهاية الزاوية لا صفر + +687 +00:51:36,690 --> 00:51:40,810 +لا 180 صانع الصفر كده؟ وصانع ال 180؟ وقعدت صفر بيقول إذا روضنت ال sides of the + +688 +00:51:40,810 --> 00:51:44,950 +loop the direction of the current is parallel to B + +689 +00:51:44,950 --> 00:51:47,390 +so the force on the two sides is zero إذا لا فوقاني + +690 +00:51:47,390 --> 00:51:50,630 +عليه قوة أو تحتاني عليه قوة يعطيهم العافية for + +691 +00:51:50,630 --> 00:51:54,990 +the vertical side we have أو بتاخد ال lift اللي هو + +692 +00:52:01,850 --> 00:52:07,590 +ال lift اللي ع شمالكم .. حلو .. straight هذا .. أو + +693 +00:52:07,590 --> 00:52:09,750 +لا مش straight .. بيتطبق عليه القوانين الأكبر + +694 +00:52:09,750 --> 00:52:13,310 +السابقة I L كوساين ثيتا .. طب إيه الكوساين ده؟ لأسفل + +695 +00:52:13,310 --> 00:52:18,950 +.. لأسفل .. لأقل من جير .. إذا قال في أي علم هذه + +696 +00:52:18,950 --> 00:52:23,990 +الليلة هتفعل النفط؟ واضح؟ كُسر بي بورت بالثانية + +697 +00:52:23,990 --> 00:52:28,650 +طوله موجودة مش اللي بي وهادي بي هادي مخ جي + +698 +00:52:28,650 --> 00:52:33,850 +والمجال موجود كيف؟ I جي كروس اوف I سالب كي وفيه + +699 +00:52:33,850 --> 00:52:38,210 +سالب 3 كي إذا معناته فيه قوة هيك تشدها ال K + +700 +00:52:38,210 --> 00:52:44,130 +مش هذا رمزه صح؟ إذا هذا الضلع فيه حد يشده هيك تمام + +701 +00:52:44,130 --> 00:52:49,410 +تفوقوا على الضلع الثاني وإني موافق نجي نجرب للـ + +702 +00:52:49,410 --> 00:52:53,190 +right بيساوي I L right كروس بيه ال L right ماكانش + +703 +00:52:53,190 --> 00:53:02,710 +مقدرة برضه بيه ماكانش تجاهه جي ايه جي ايه جي لا + +704 +00:53:02,710 --> 00:53:08,270 +أهلاً بحط جي وأهلاً وبيه أهلاً جي كروس I سنبكيه + +705 +00:53:08,270 --> 00:53:11,450 +إذا في عندك قوات ايه مع القواتين طبعاً أنت مقدرهم + +706 +00:53:12,630 --> 00:53:18,110 +IPB وهنا ناسي العين IPB اجمعوهم Zero إذا مافيش أي + +707 +00:53:18,110 --> 00:53:22,210 +تناقض closed loop in any uniform magnetic field ال + +708 +00:53:22,210 --> 00:53:25,810 +force is zero لكن ال force is zero زي هذا ال net + +709 +00:53:25,810 --> 00:53:30,570 +force is zero لكن بيلف أو ما بيلف؟ بيلف هذا واحد بشده + +710 +00:53:30,570 --> 00:53:35,350 +هيك وواحد بيديه هيك إذا بده يلف وهذه النظرية جلبت + +711 +00:53:35,350 --> 00:53:38,750 +الدنيا كل الحركة اللي بتشوفوها معتمدة عليها + +712 +00:53:38,750 --> 00:53:42,410 +النظرية المطور مش المطور اللي بيولد كهربا المطور + +713 +00:53:42,410 --> 00:53:44,710 +الحقيقي احنا المطور إحنا قاعدين نسميه generator + +714 +00:53:44,710 --> 00:53:49,330 +المطور تمام؟ المطور هو اللي بدي حركة من وجهته حركة + +715 +00:53:49,330 --> 00:53:55,070 +هذه المطرية اللي بيكون في لوب مغلق أشبال محطوطة في + +716 +00:53:55,070 --> 00:53:57,470 +مجان مغناطيسي بيحطوا هنا قطب مغناطيسي وقطب + +717 +00:53:57,470 --> 00:54:01,350 +مغناطيسي جوا وبيحطوا سليكل أول ما تشتغل الكهربا + +718 +00:54:01,350 --> 00:54:05,620 +لفت لماذا بيرفض هاي الرعاية اللي بيديها؟ عشان كده + +719 +00:54:05,620 --> 00:54:09,420 +مافيش هنا هوايات أعواطية بيلفوا الهواية، بيلفوا + +720 +00:54:09,420 --> 00:54:13,440 +الـMonanics، بيلفوا الغسالة، طبعاً هذه شغلات بسيطة، + +721 +00:54:13,440 --> 00:54:17,760 +بيلفوا المصنع كله هات الحركة ممكن تمشيها كمان بدك + +722 +00:54:17,760 --> 00:54:20,760 +على قشط .. أنتو بتشوفوا كيف المخابز أوتوماتيك + +723 +00:54:20,760 --> 00:54:24,220 +بالكور وكيف الكشاب وهذا حركة بس بيحطها بكشاب + +724 +00:54:24,220 --> 00:54:27,220 +تنتقل الحركة من مكان لمكان بيجيلك الخبز من أولها + +725 +00:54:27,220 --> 00:54:30,260 +كل حركة بحركة من أول ما يحطوا طحين فيه على الجانب + +726 +00:54:30,260 --> 00:54:36,360 +حركة بعدين بيتجل لجبطها بيتجل برضه حركة جبطها + +727 +00:54:36,360 --> 00:54:41,380 +حركة اللي جبطها حركة بيروح على الفرن جوه حركة بس + +728 +00:54:41,380 --> 00:54:44,140 +بيبقى داخلها بالدينار ولو جوه بيبقى ماشية على + +729 +00:54:44,140 --> 00:54:46,860 +نفسه دي هو الفرن بعدين بطلع بلف لف لف لف لف لف لف + +730 +00:54:46,860 --> 00:54:49,020 +لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف + +731 +00:54:49,020 --> 00:54:49,320 +لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف + +732 +00:54:49,320 --> 00:54:49,840 +لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف + +733 +00:54:49,840 --> 00:54:51,220 +لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف + +734 +00:54:51,220 --> 00:54:58,600 +لف لف لف لف لف لف لف + +735 +00:54:58,600 --> 00:55:05,600 +لف + +736 +00:55:05,600 --> 00:55:12,760 +للجرافة هي حركة طبعاً صار اللي بنعمله بسنة بنعمله + +737 +00:55:12,760 --> 00:55:18,180 + بأيام طبعاً فشوف أنت كده انقلبت الدنيا شغلات كثيرة + +738 +00:55:18,180 --> 00:55:22,600 +بلاش خلينا نقول الغسالة البسيطة اللي في دوركم لو + +739 +00:55:22,600 --> 00:55:26,320 +أنتوا سألتوا أمهاتكم لسه مايعرفوش والله أعلم + +740 +00:55:26,320 --> 00:55:29,540 +جدودكم إذا كانوا عايشين كانوا بيقولوا عشان نغسل + +741 +00:55:29,540 --> 00:55:33,140 +كنا نصبح مع صلاة الصبح نضغط نغسلها الدور اللي هم + +742 +00:55:33,140 --> 00:55:38,940 +يغسلوا هرجيت أما تبقى تحط الناس سهل أنا بتعب + +743 +00:55:38,940 --> 00:55:43,600 +بس الناس اللي يمكن تتعب تاخده وتشوفه بس فشوف إيش + +744 +00:55:43,600 --> 00:55:48,360 +انقلبت الدنيا من هذا القانون هذا دانا حركة و + +745 +00:55:48,360 --> 00:55:53,440 +الحركة بعد كده بستخدمها كيف ما بدي بكل الأمور وما + +746 +00:55:53,440 --> 00:55:57,920 +تحط بالك في دارك في شارعك في صنعك والمكان هذا + +747 +00:55:57,920 --> 00:56:02,170 +القانون موجود في حركة طبعاً إن جت على الكهربا بيبقى + +748 +00:56:02,170 --> 00:56:06,170 +بيبقى في حركة رايحة في الشجرة .. في الشجرة هو + +749 +00:56:06,170 --> 00:56:10,450 +مضطرب لا المونيكس تشتغل أو غسلت تشتغل أو أي حاجة + +750 +00:56:10,450 --> 00:56:15,550 +بدك إياها بيبقى تشتغل حتى أي حاجة فيها لا الهواية + +751 +00:56:15,550 --> 00:56:19,530 +تشتغل أو أي حاجة حتى ال computer ال box فيه هواية + +752 +00:56:19,530 --> 00:56:24,920 +بحطه عشان يبرد فكل هذا من هذا القانون طبعاً أنا + +753 +00:56:24,920 --> 00:56:27,980 +ببذلني I عشان كده لو جدت على الكهربا مافيش حركة + +754 +00:56:27,980 --> 00:56:32,080 +لأن I بديها لازم يكون في عندي تيار لو مافيش تيار + +755 +00:56:32,080 --> 00:56:37,680 +بتلف إذا أنا بدي الكهربا بالأول والآخر that if the + +756 +00:56:37,680 --> 00:56:40,180 +two forces are opposite and equal in magnitude + +757 +00:56:40,180 --> 00:56:43,340 +opposite and equal in magnitude if the loop is + +758 +00:56:43,340 --> 00:56:47,020 +assumed to rotate about its center بتلف هكذا these + +759 +00:56:47,020 --> 00:56:50,790 +two forces طب يلا نجيب ال torque شباب هذا بتوح مع + +760 +00:56:50,790 --> 00:56:54,070 +قرصها وأنا بضع قرصها وهذا + +761 +00:56:55,620 --> 00:56:58,520 +ماشى أنتوا قاعدين وأنتوا مغفلين بتحكوا هذا مع هذا + +762 +00:56:58,520 --> 00:57:03,260 +ما .. إذا إن ال torque بقول هذا في ذراعه زائد هذا + +763 +00:57:03,260 --> 00:57:06,820 +في ذراعه لما الثانيين معاه وهي نفس العملية شوفوا + +764 +00:57:06,820 --> 00:57:10,780 +مع أن القواتين عكس بعض لكن ال torque مع بعض مع أن + +765 +00:57:10,780 --> 00:57:14,580 +القواتين عكس بعض هذا ال torque بيعمل هيك صح وهذا + +766 +00:57:14,580 --> 00:57:18,020 +ال torque بيعمل هيك الثانيين clockwise أو مشكلتين + +767 +00:57:18,020 --> 00:57:19,800 +clockwise فنجي هنا + +769 +00:57:26,570 --> 00:57:30,010 +القوة في الذراع أو لا بدي أفترض إنه بدي لف حوالي + +770 +00:57:30,010 --> 00:57:36,870 +ال center ايه على 2؟ لأن هذه الذراع من القوة + +771 +00:57:36,870 --> 00:57:42,370 +لهنا وهذه نص ايه للا وهذه ايه برضه ايه على 2؟ + +772 +00:57:44,710 --> 00:57:47,990 +خلينا if the loop is assumed to rotate about its + +773 +00:57:47,990 + +801 +00:59:59,440 --> 01:00:04,260 +فبتكون الـ I في الـ A هي المساحة هجتني ورجع احنا قولنا أصل + +802 +01:00:04,260 --> 01:00:08,340 +المغناطية أيش كهربية اللي هي الإلكترونات المتحركة + +803 +01:00:08,340 --> 01:00:10,780 +الإلكترونات بتتحرك على الـ loop المغلقة مش اللوب + +804 +01:00:10,780 --> 01:00:11,160 +المغلقة + +805 +01:00:14,860 --> 01:00:18,500 +هل جد كل إلكترون بشكل عبارة عن الـ electric dipole + +806 +01:00:18,500 --> 01:00:21,980 +moment؟ هنا كل نجوم كل جزيه، كل إلكترون بيعمل + +807 +01:00:21,980 --> 01:00:24,560 +electric dipole moment، هل جد في إلكترون، في عندك + +808 +01:00:24,560 --> 01:00:27,660 +عشر ألف إلكترون من اتجاهات مختلفة، many mu's جوا + +809 +01:00:27,660 --> 01:00:30,360 +المادة، إذا الـ mu's كلها اتجاهاتها واحدة، بيصير + +810 +01:00:30,360 --> 01:00:33,320 +عندي براطيس، إذا الـ mu's كلها اتجاهات مختلفة، + +811 +01:00:33,320 --> 01:00:36,640 +بيكون الـ net mu أو الـ net مجنتك فيه ساوي زيرو، مش + +812 +01:00:36,640 --> 01:00:41,550 +مهم، it's called the magnetic dipole moment هاجر + +813 +01:00:41,550 --> 01:00:45,750 +الـ U كيف بتجيب اتجاهها طيب كل هي قانون هقاعد في + +814 +01:00:45,750 --> 01:00:49,590 +ايه اتجاه الـ A طب اتجاه الـ A كيف بتجيبه أنا في + +815 +01:00:49,590 --> 01:00:54,510 +عندها اتجاهين هاجد الـ A كيف اتجاه الـ loop شباب مثلا + +816 +01:00:54,510 --> 01:00:58,970 +لبرنا جوا طب كيف بتعرض لإيدك اليوم ده حسب اتجاهك + +817 +01:00:58,970 --> 01:01:02,970 +الطيار ودفع صبيحك نفسك على الطيار ابهنك بالدي ميو + +818 +01:01:04,610 --> 01:01:08,150 +لُف أصابعك الأربعة مع التيار The direction of the mu + +819 +01:01:08,150 --> 01:01:10,870 +is perpendicular to the plane of the loop and it's + +820 +01:01:10,870 --> 01:01:15,510 +sense is determined by the right hand rule. إيش هي + +821 +01:01:15,510 --> 01:01:19,730 +بتقول؟ killing the four fingers يعني لُف the four + +822 +01:01:19,730 --> 01:01:21,770 +fingers of the right hand rule in the direction of + +823 +01:01:21,770 --> 01:01:25,170 +the current لُف أصابعك الأربعة مع التيار The thumb + +824 +01:01:25,170 --> 01:01:28,890 +points in the direction of the mu نرجع لهذه + +825 +01:01:34,830 --> 01:01:42,670 +كيف تجاه الـ Mu؟ على الخارج لأن أصابعي الأربعة + +826 +01:01:42,670 --> 01:01:46,170 +رفنتهم مع الطيارة إذا ما حدثوا إبهامهم يكونوا out + +827 +01:01:46,170 --> 01:01:50,710 +على طول تمام؟ لو الطيارة انعكس يكونوا إبهامي جوا + +828 +01:01:50,710 --> 01:01:54,470 +صح ولا لأ؟ عشان ألف مع الطيارة إذا أنا هالي بحدد + +829 +01:01:54,470 --> 01:01:58,290 +الـ Mu أصابعي الأربعة مع الطيارة إبهامي بالـ Mu + +830 +01:01:58,290 --> 01:02:02,630 +تمام + +831 +01:02:02,630 --> 01:02:04,150 +هذا مثال + +832 +01:02:13,070 --> 01:02:18,710 +يكون هناك عبارة عن عبارة عن عبارة عن عبارة عن + +833 +01:02:18,710 --> 01:02:22,050 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +834 +01:02:22,050 --> 01:02:23,670 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +835 +01:02:23,670 --> 01:02:27,950 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +836 +01:02:27,950 --> 01:02:31,350 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +837 +01:02:31,350 --> 01:02:31,390 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +838 +01:02:31,390 --> 01:02:33,570 +عن عبارة عن + +839 +01:02:42,520 --> 01:02:44,480 +الـ Initial is parallel to the plane of the loop + +840 +01:02:44,480 --> 01:02:47,720 +برالي تمام what is the magnitude of the initial + +841 +01:02:47,720 --> 01:02:50,160 +torque acting on the loop بعد ما تبقى تطبيق مباشر + +842 +01:02:50,160 --> 01:02:53,960 +نقول solution since the coil has 25 tails coil + +843 +01:02:53,960 --> 01:02:57,040 +يعني ملف برضه الشباب هنا مافيش كتاب ليه loop loop + +844 +01:02:57,040 --> 01:03:00,380 +أو coil coil معناه تمام تمام وطبعا كل كنت عارف + +845 +01:03:00,380 --> 01:03:04,340 +المطارات اللي بيقولوا لما يخرب يروح يلفو مظلوله هو + +846 +01:03:04,340 --> 01:03:08,100 +عبارة عن loops يعني مكونش لفة واحدة مكون عدة loops + +847 +01:03:08,100 --> 01:03:12,550 +مش مشكلة لو انتوا في تحته واحد تشوفوا انه في loop + +848 +01:03:12,550 --> 01:03:17,150 +محاسي بيكون ملفوف وشغلات وعادي وحنشوف ايش انواع + +849 +01:03:17,150 --> 01:03:20,630 +الملفات ترويت او سلونه وبعد يوم نشوفها عشان لما + +850 +01:03:20,630 --> 01:03:23,770 +تخشوا على اي مطور تشوفوه تعرفوا ان هذا عبارة عن + +851 +01:03:23,770 --> 01:03:27,230 +ملف معين وهو اللي بجوه اللي تكون الحركة وطبعا + +852 +01:03:27,230 --> 01:03:30,150 +لازم تكون ما فيش مطور جوه اللي تلاقي مغناطيس ولا لا + +853 +01:03:30,150 --> 01:03:33,050 +المغناطيس من الخط عشان يجيبلي المجال المغناطيسي + +854 +01:03:33,050 --> 01:03:37,700 +عشان بدي بيه عشان بالـ D.P. طبعا الشغل البرده اللي + +855 +01:03:37,700 --> 01:03:41,880 +اتخذته هو في المدارس ال جيل فان ويكاربرضه اتأسس + +856 +01:03:41,880 --> 01:03:44,480 +عليها دي القاعدة لأنه أنا في جلبان ومتر أو الـ + +857 +01:03:44,480 --> 01:03:47,760 +voltmeter أو الـ ammeter بدي الماشي يتحرك فبالتالي + +858 +01:03:47,760 --> 01:03:50,500 +بكون مربوط بملف أول ما أحطه في الديارة علاش بدي + +859 +01:03:50,500 --> 01:03:53,760 +أجيب فده دي كيس كهربا فالاخر إذا حطه في الديارة + +860 +01:03:53,760 --> 01:03:58,200 +صار في تيار العكس المؤشر صار في حركة لف كل ما كانت + +861 +01:03:58,200 --> 01:04:00,600 +تيارة أكبر كل ما كانت الحركة أكبر ولا لا بالتالي + +862 +01:04:00,600 --> 01:04:03,860 +بقدر أعمل calibration معايرة وبقدر أجيبه وعشان + +863 +01:04:03,860 --> 01:04:09,590 +كده كانوا يسمون إياها هيك يقولون هاي قطب وهاي قطب + +864 +01:04:09,590 --> 01:04:12,310 +شمالي وجنوبي هاي المجال اللي معروف باسم العرب + +865 +01:04:12,310 --> 01:04:15,710 +خلاص شمالي وجنوبي ده هزي عندك مجمع نفسي تمام؟ و + +866 +01:04:15,710 --> 01:04:23,190 +بعدين يحطونا loop وبعدين يوجهوها هيك ويقولك + +867 +01:04:23,190 --> 01:04:27,530 +واصلها في الدائرة نفسك هنا فيه بطارية فزي ما فيه + +868 +01:04:27,530 --> 01:04:32,110 +بطارية سارس لك لف بخارج البنومتر بربطه هذه بمؤشر + +869 +01:04:32,110 --> 01:04:37,080 +لفت بحركوظبط معاه طبعا في زمبالك عشان يظبط الأمور + +870 +01:04:37,080 --> 01:04:41,260 +في الأخر هذا السبب الـ D grade تبعها أما في زمبالك + +871 +01:04:41,260 --> 01:04:44,220 +عشان يحكمها وما يروحش تيجي ويعمل معايرات شغلات + +872 +01:04:44,220 --> 01:04:48,360 +كتيرة بتيجي بهذه.. طبعا في بعض يقعوا في جرس + +873 +01:04:48,360 --> 01:04:50,800 +الكهرباية نفس الفكرة شغلات كتيرة الجرس الكهرباية + +874 +01:04:50,800 --> 01:04:54,860 +مورايه جاي وخلوه يقطع أخدتوا هذا برضه في الفنانوية + +875 +01:04:54,860 --> 01:05:02,630 +دالة جرس تمام م سوى capital M I في الـ Aأي ميو بس + +876 +01:05:02,630 --> 01:05:06,370 +عشان في عدة شحنات ايفن الـ A اللي الـ A قولتلي بقعد + +877 +01:05:06,370 --> 01:05:10,270 +هجيبها طبعا صارت المتر حوالته الشباب ده متر تنتين + +878 +01:05:10,270 --> 01:05:14,290 +واحدة خمسة وعشرين طلعت الـ ميو knowing that الـ ميو + +879 +01:05:14,290 --> 01:05:18,790 +and بي are parallel إذا هي تابسة من نقص الـ بي لكن + +880 +01:05:18,790 --> 01:05:22,050 +الـ ميو بي برارل راح نقص بذلك لأن هو حكيم برارل + +881 +01:05:22,050 --> 01:05:26,150 +طلعتها نيوتن متر طبعا الشباب انتوا عارفين الـ + +882 +01:05:26,150 --> 01:05:28,710 +torque ايش وحدته؟ + +883 +01:05:31,350 --> 01:05:39,810 +أف في متر فاقدر أقول عنها جول جول + +884 +01:05:39,810 --> 01:05:46,790 +ما هي جول مش نيوتن متر جول مش هو بيضحك شغل يعني + +885 +01:05:46,790 --> 01:05:50,730 +هذه نيوتن متر بس هو هيك مفردوش وحط جول عشان الـ + +886 +01:05:50,730 --> 01:05:53,530 +fresh مش حلوة لكن لو حطها جول ما حد بيقدر يقول لو + +887 +01:05:53,530 --> 01:05:58,830 +حطها غلط لأن نيوتن في متر جول تمام؟ خدمة معلومة في + +888 +01:05:58,830 --> 01:06:00,470 +فيزيا ألف diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/QjfkqmhqeUQ_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/QjfkqmhqeUQ_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..58a66814fe77a92deecc7904bd665c3f6b171cfd --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/QjfkqmhqeUQ_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2644, "start": 10.32, "end": 26.44, "text": "بسم الله الرحمن الرحيم نستنف ماتبقى من هذا ال chapter بس بسرعة نحاول نسترجع اللى أخدناه في المحاضرة السابقة حكينا أن عصر المجال المغناطيسي هو الشحنات المتحركة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 14851, 1863, 5172, 3714, 9307, 3555, 4587, 7578, 9154, 23758, 2423, 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{"start": 65.81, "end": 66.43, "word": " كانت", "probability": 0.965087890625}, {"start": 66.43, "end": 66.77, "word": " v", "probability": 0.927734375}, {"start": 66.77, "end": 67.09, "word": " و", "probability": 0.91259765625}, {"start": 67.09, "end": 67.33, "word": " b", "probability": 0.6591796875}, {"start": 67.33, "end": 67.91, "word": " parallel", "probability": 0.90185546875}, {"start": 67.91, "end": 68.63, "word": " بتكون", "probability": 0.69482421875}, {"start": 68.63, "end": 69.01, "word": " الزاوية", "probability": 0.717578125}, {"start": 69.01, "end": 69.29, "word": " 0", "probability": 0.47412109375}, {"start": 69.29, "end": 69.47, "word": " او", "probability": 0.91162109375}, {"start": 69.47, "end": 69.95, "word": " 180", "probability": 0.90283203125}, {"start": 69.95, "end": 70.97, "word": " والقوة", "probability": 0.8829345703125}, {"start": 70.97, "end": 71.33, "word": " بتكون", "probability": 0.73974609375}, {"start": 71.33, "end": 71.71, "word": " 0", "probability": 0.419921875}, {"start": 71.71, "end": 73.71, "word": " والمعلومة", "probability": 0.90927734375}, {"start": 73.71, "end": 74.23, "word": " التانية", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 4, "seek": 7961, "start": 75.97, "end": 79.61, "text": "أن F يجب أن تكون عموديًا لـ V و B", "tokens": [33456, 479, 7251, 7435, 3555, 14739, 6055, 30544, 6225, 2304, 2407, 16254, 14111, 995, 5296, 39184, 691, 4032, 363], "avg_logprob": -0.6625000208616256, "compression_ratio": 0.9, "no_speech_prob": 0.0, "words": [{"start": 75.97, "end": 76.29, "word": "أن", "probability": 0.11090087890625}, {"start": 76.29, "end": 76.69, "word": " F", "probability": 0.440673828125}, {"start": 76.69, "end": 77.09, "word": " يجب", "probability": 0.5865071614583334}, {"start": 77.09, "end": 77.21, "word": " أن", "probability": 0.82177734375}, {"start": 77.21, "end": 77.39, "word": " تكون", "probability": 0.76171875}, {"start": 77.39, "end": 78.07, "word": " عموديًا", "probability": 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{"start": 1495.57, "end": 1496.01, "word": " السلطة", "probability": 0.66461181640625}, {"start": 1496.01, "end": 1496.65, "word": " مظلوة", "probability": 0.540283203125}, {"start": 1496.65, "end": 1496.75, "word": " او", "probability": 0.551513671875}, {"start": 1496.75, "end": 1498.43, "word": " لا؟", "probability": 0.6787109375}, {"start": 1498.43, "end": 1498.83, "word": " وكيف", "probability": 0.5987955729166666}, {"start": 1498.83, "end": 1498.99, "word": " انت", "probability": 0.32513427734375}, {"start": 1498.99, "end": 1499.23, "word": " تثبت", "probability": 0.66064453125}, {"start": 1499.23, "end": 1499.37, "word": " انها", "probability": 0.356201171875}, {"start": 1499.37, "end": 1499.55, "word": " بيه", "probability": 0.72802734375}, {"start": 1499.55, "end": 1499.75, "word": " تقول", "probability": 0.640380859375}, {"start": 1499.75, "end": 1500.37, "word": " كده؟", "probability": 0.5292816162109375}, {"start": 1500.37, "end": 1500.51, "word": " مش", "probability": 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{"start": 3507.22, "end": 3507.78, "word": " ميلت", "probability": 0.9182942708333334}, {"start": 3507.78, "end": 3508.32, "word": " بيقول", "probability": 0.9069010416666666}, {"start": 3508.32, "end": 3508.46, "word": " ليه", "probability": 0.872802734375}, {"start": 3508.46, "end": 3508.72, "word": " ليش", "probability": 0.68505859375}, {"start": 3508.72, "end": 3508.96, "word": " بيصير", "probability": 0.8731689453125}, {"start": 3508.96, "end": 3509.28, "word": " القانون", "probability": 0.9905598958333334}, {"start": 3509.28, "end": 3509.5, "word": " هيك", "probability": 0.936767578125}, {"start": 3509.5, "end": 3510.52, "word": " بس", "probability": 0.9423828125}, {"start": 3510.52, "end": 3511.02, "word": " cross", "probability": 0.56396484375}, {"start": 3511.02, "end": 3511.38, "word": " product", "probability": 0.203125}, {"start": 3511.38, "end": 3511.9, "word": " بتحط", "probability": 0.9357096354166666}, {"start": 3511.9, "end": 3513.68, "word": " circle", "probability": 0.35693359375}, {"start": 3513.68, "end": 3513.9, "word": " cross", "probability": 0.32568359375}, {"start": 3513.9, "end": 3514.18, "word": " product", "probability": 0.94580078125}, {"start": 3514.18, "end": 3514.36, "word": " احنا", "probability": 0.90576171875}, {"start": 3514.36, "end": 3514.52, "word": " ده", "probability": 0.458740234375}, {"start": 3514.52, "end": 3514.68, "word": " واش", "probability": 0.576904296875}, {"start": 3514.68, "end": 3515.06, "word": " عملنا", "probability": 0.9890950520833334}, {"start": 3515.06, "end": 3515.92, "word": " عملنا", "probability": 0.9793294270833334}, {"start": 3515.92, "end": 3516.32, "word": " هيك", "probability": 0.98046875}, {"start": 3516.32, "end": 3516.7, "word": " وعملنا", "probability": 0.8775634765625}, {"start": 3516.7, "end": 3516.78, "word": " ال", "probability": 0.7705078125}, {"start": 3516.78, "end": 3516.92, "word": " loop", "probability": 0.9921875}, {"start": 3516.92, "end": 3517.82, "word": " هيك", "probability": 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+00:00:25,820 --> 00:00:31,120 +for every chargeWe have its own electric field الـ + +5 +00:00:31,120 --> 00:00:34,780 +electric field عرفناه على انه if the electric + +6 +00:00:34,780 --> 00:00:40,200 +force exerted on a positive small tested charge + +7 +00:00:40,200 --> 00:00:44,460 +divided by the magnitude of this tested charge + +8 +00:00:44,460 --> 00:00:49,780 +بمعنى الميال الكهربائي عُرف بدلالة القوة + +9 +00:00:49,780 --> 00:00:55,580 +الكهربائية التي تؤثر على شحنةvery small and + +10 +00:00:55,580 --> 00:01:00,700 +positive وسموها test charge وبالتالي صار فيه + +11 +00:01:00,700 --> 00:01:06,640 +إمكانية ان يشتق قانون لهذا المجال الكهربائي اطفئ + +12 +00:01:06,640 --> 00:01:11,180 +هدول بنفع نطفئ هي او بنفع اطفئ اطفئ اتفق الله تمام + +13 +00:01:11,180 --> 00:01:19,640 +خلاص اللي عندك بيكفيك طب + +14 +00:01:19,640 --> 00:01:25,340 +خلاصتمام واتفقنا ان شدة المجال الكهربائي ككمية + +15 +00:01:25,340 --> 00:01:31,100 +فيزيائية جديدة هو vector quantity رمزها capital E + +16 +00:01:31,100 --> 00:01:37,400 +تمام هذا الكلام عرفنا وقلنا E equal F over Q + +17 +00:01:37,400 --> 00:01:41,020 +naught و Q naught هي test charge من هذا التعريف + +18 +00:01:41,020 --> 00:01:47,500 +الأولي عرفنا ان E has the SI unit of Newton على + +19 +00:01:48,100 --> 00:01:52,480 +قولو نيوتين pair قولو هذا اللي عرفنا من الأول + +20 +00:01:52,480 --> 00:01:57,440 +واتفقنا على ان q not should be small enough to + +21 +00:01:57,440 --> 00:02:01,500 +ensure that the electric field is not affected by + +22 +00:02:01,500 --> 00:02:06,080 +the presence of the test charge تمام و ال + +23 +00:02:06,080 --> 00:02:09,120 +direction اتفقنا عليه و هنيجي عليه هذا ال unit كل + +24 +00:02:09,120 --> 00:02:13,580 +كلام احنا أخدنا وبالتالي + +25 +00:02:13,580 --> 00:02:21,130 +اي charge محطوطة في نقطةواتأثرت بقوة نقول لها + +26 +00:02:21,130 --> 00:02:25,490 +اتأثرت نتيجة وجودها في مجال الكهربائي وبالتالي + +27 +00:02:25,490 --> 00:02:31,070 +القانون تبعه بيقول ان F بتساوي Q في شدة المجال + +28 +00:02:31,070 --> 00:02:36,530 +الكهربائي صار ان القوة الكهربائية على أي شحنة مانت + +29 +00:02:36,530 --> 00:02:40,830 +عليه في المجال بيساوي مقدار الشحنة في المجال عند + +30 +00:02:40,830 --> 00:02:48,260 +مكان هذه الشحنة وهذا عرفناه حنجيو بدنا نشتق قانون + +31 +00:02:48,260 --> 00:02:52,760 +عشان نجيب the electric field due to a pointed + +32 +00:02:52,760 --> 00:02:57,460 +charge عندى شحنة فاتفقنا ان انا عندى شحنة Q هذه + +33 +00:02:57,460 --> 00:03:01,820 +الشحنة Q من التعريف و من المنطق بيقول ان حواليها + +34 +00:03:01,820 --> 00:03:07,630 +في مجال كهربائي هذه المجال الكهربائيبينقص او بيزيد + +35 +00:03:07,630 --> 00:03:12,970 +تبعا لعدة عوامل مقدار الشحنة وبعد النقطة عن الشحنة + +36 +00:03:12,970 --> 00:03:17,070 +صحيح ولا لأ بعد النقطة عن الشحنة باتوقع ان كل ما + +37 +00:03:17,070 --> 00:03:21,410 +زادت الشحنة the electric field will increase and + +38 +00:03:21,410 --> 00:03:25,310 +as the point is away from the charge the electric + +39 +00:03:25,310 --> 00:03:31,530 +field should decrease تمامالان هذه الشحنة وهذا هو + +40 +00:03:31,530 --> 00:03:35,790 +المجال المتوقعه مطلوب من إيجاد شدة المجال + +41 +00:03:35,790 --> 00:03:40,590 +الكهربائي عند النقطة P النقطة P هذه خضرة بتبعد + +42 +00:03:40,590 --> 00:03:45,890 +مسافة R عن الشحنة قلنا من التعريف بقول شدة المجال + +43 +00:03:45,890 --> 00:03:50,630 +بتساوى القوة الكهربائية اللي بتأثر على small + +44 +00:03:50,630 --> 00:03:57,040 +positive tested charge اذا انا بلزمنيأفترض small + +45 +00:03:57,040 --> 00:04:02,220 +positive test charge عند النقطة P فلما أجيب أحطها + +46 +00:04:02,220 --> 00:04:06,280 +to do so we assume the existence assume معناته هذه + +47 +00:04:06,280 --> 00:04:10,160 +فرضية ال Q note أو test charge مش موجودة أنا + +48 +00:04:10,160 --> 00:04:15,400 +فرضتهاthe existence of a test charge Q0 at point P + +49 +00:04:15,400 --> 00:04:19,980 +وهي حصلت في عندي شحنة خامرة test charge ومقدارها + +50 +00:04:19,980 --> 00:04:25,380 +Q0 بعد ما افترضت بقولي اودي القوة التي تؤثر على Q0 + +51 +00:04:25,380 --> 00:04:29,080 +عندي صار شحنتين شحنة أصلية موجودة أولا وشحنة انا + +52 +00:04:29,080 --> 00:04:32,460 +افترضتها مطلوب مني إيجاد القوة اللي على Q0 + +53 +00:04:32,460 --> 00:04:38,810 +باستخدام قانونقانون كلوم قانون كلوم هو القانون + +54 +00:04:38,810 --> 00:04:42,930 +اللي بيجيب القوة بين اي شحنتين طبعا الان الشحنة + +55 +00:04:42,930 --> 00:04:46,850 +الأصلية positive و الشحنة تست شارج positive القوة + +56 +00:04:46,850 --> 00:04:50,910 +اللي بينهم ايش هتكون تنافرية تنافرية اذا معناته + +57 +00:04:50,910 --> 00:04:53,750 +هيك هيكون اتجاه السهم الأخضر اللي انتوا شايفينه + +58 +00:04:53,750 --> 00:04:58,970 +هذا اتجاه القوة هيها هتكون E E نفسها from columns + +59 +00:04:58,970 --> 00:05:07,740 +lawThe force upon the tested charge is FKQ1 + +60 +00:05:07,740 --> 00:05:20,080 +Q2 Q0 over R2 R unit vector بعد + +61 +00:05:20,080 --> 00:05:26,720 +ما جبت E F بقدر أجيب E E equal F over Q0أنا كيو + +62 +00:05:26,720 --> 00:05:30,340 +نوت اللي هنا بدأ أقسم عليها بتروح فبصير عندي E + +63 +00:05:30,340 --> 00:05:34,840 +بتسوي KQ على R تربيع وهذا R unit vector واتفقنا + +64 +00:05:34,840 --> 00:05:38,680 +عشان يديني ال direction هاي قانون الآن بعد ما طلعت + +65 +00:05:38,680 --> 00:05:41,460 +القانون كيو نوت مش هتنزلني شباب ولا حلا استخدامها + +66 +00:05:41,460 --> 00:05:44,820 +في الحل أنا شغال في عندي قانون خلاص كيو نوت قدت + +67 +00:05:44,820 --> 00:05:50,230 +مهمتها اشتققلي قانون حلوشكله بكتير بشبه شكل كولومز + +68 +00:05:50,230 --> 00:05:55,550 +لو اصلا كولومز لو نحن لدينا Q1 و Q2 E أكم Q فيه + +69 +00:05:55,550 --> 00:06:00,650 +واحدة لأن E لكل واحدة فيه E كل شحنة E لكن ال F + +70 +00:06:00,650 --> 00:06:04,450 +ممكن تكون شحنة لحالها عليها F بتاعة two forces two + +71 +00:06:04,450 --> 00:06:09,530 +charges وبالتالي هذه هي القانون الجديد تبعنا اللي + +72 +00:06:09,530 --> 00:06:14,210 +هو E بتسوي KQ على R تربيع وهذا مجال point of + +73 +00:06:14,210 --> 00:06:17,460 +chargeإذا لا ينطبق إلا على ال point of charge لما + +74 +00:06:17,460 --> 00:06:20,040 +يكون عندي كرة مشحونة هذا القانون ماقدرش يطبقه لما + +75 +00:06:20,040 --> 00:06:23,840 +يقول عندي الباب هذا كله مشحون في مجال حواليك، كيف + +76 +00:06:23,840 --> 00:06:26,920 +بدي أحسبه؟ مش بهذا القانون، بدي شغل تانية لأن هذا + +77 +00:06:26,920 --> 00:06:31,180 +بس لل point of charges تمام يا شباب؟ تمام طبعا the + +78 +00:06:31,180 --> 00:06:34,480 +unit vector directed from Q to the point P الصهم + +79 +00:06:34,480 --> 00:06:37,820 +الأخضر اللي تو كان كان من الشحن و رايح على النقطة + +80 +00:06:37,820 --> 00:06:41,860 +P يعني لو طلعت عليها هي الأخضر + +81 +00:06:42,770 --> 00:06:48,870 +لو جلبت Q الأصلية لـ negative هينقلب السهم الأخضر + +82 +00:06:48,870 --> 00:06:52,870 +و ينعكس اتجاهه صح ولا لأ بقول it is clear that if + +83 +00:06:52,870 --> 00:06:55,330 +the charge Q is negative it is .. it is .. ال + +84 +00:06:55,330 --> 00:06:58,050 +charge ماليش دعوة فيها دايما positive اتفقنا انا + +85 +00:06:58,050 --> 00:07:03,030 +اللي مقدر اتحكر فيه هو Q بقول if Q is negative the + +86 +00:07:03,030 --> 00:07:06,550 +direction of E will be reverse يعني لو هذه صارت + +87 +00:07:06,550 --> 00:07:11,130 +زرقة بيصير تجاذبية و بيصير الخط الأخضر صار تجاذبي + +88 +00:07:11,130 --> 00:07:17,430 +أو انعكسو من هنا افهمت انه لما كان positive كان ال + +89 +00:07:17,430 --> 00:07:21,010 +direction outward from that charge و لما كانت Q + +90 +00:07:21,010 --> 00:07:25,050 +نيجاتيب كان inward from that charge فبقولي if Q is + +91 +00:07:25,050 --> 00:07:28,370 +positive the direction of E is outward from that + +92 +00:07:28,370 --> 00:07:32,860 +charge و هنشرحها و هنعمل حلقة مثلها هنطبقهاو if q + +93 +00:07:32,860 --> 00:07:38,540 +is negative the direction of E زي ما هي موجودة is + +94 +00:07:38,540 --> 00:07:41,820 +inward to that charge رايح على ال charge اذا انا + +95 +00:07:41,820 --> 00:07:45,480 +ببدأ من النقطة و برتطلع في اتجاه مجالي و انا اروح + +96 +00:07:45,480 --> 00:07:49,170 +اطلع من الشحنة و اروح الشحنةبطلع من الشحنة إذا + +97 +00:07:49,170 --> 00:07:52,310 +كانت الشحنة positive و بروح عن الشحنة إذا كانت + +98 +00:07:52,310 --> 00:07:57,450 +الشحنة negative إيه بيكون حددت اتجاه المجال اتحدد + +99 +00:07:57,450 --> 00:08:00,710 +اتجاه المجال إيش بيبقى عندنا الكمية الفيزاقية ال + +100 +00:08:00,710 --> 00:08:03,730 +vector بدي magnitude صح ولا لأ لإن مضايركش نخلصت + +101 +00:08:03,730 --> 00:08:07,110 +منه نحط ع الراسنا ال magnitude بدي أحسبه هذا + +102 +00:08:07,110 --> 00:08:10,210 +القانون مابدينيش magnitude بدي أخليه يديني + +103 +00:08:10,210 --> 00:08:12,890 +magnitude أديه مليون ال vectors و ال vectors صح + +104 +00:08:12,890 --> 00:08:16,250 +ولا لأعشان يدّيني magnitude بدي أجيبني unit vector + +105 +00:08:16,250 --> 00:08:19,730 +وهذا يجيبني magnitude معناته q ممنوع تكون سلبة ده + +106 +00:08:19,730 --> 00:08:24,110 +تديني ال absolute value صح ولا لأ؟ اذا بيقوللي the + +107 +00:08:24,110 --> 00:08:28,230 +electric field at a point to a group جمع هذا + +108 +00:08:28,230 --> 00:08:32,570 +أخدناه لما يكون في عندي أكتر من مجال بدي أجمعهمThe + +109 +00:08:32,570 --> 00:08:37,690 +magnitude of the electric field is obtained as K + +110 +00:08:37,690 --> 00:08:42,330 +absolute value of Q على R² إذا لما أجيب ال + +111 +00:08:42,330 --> 00:08:46,430 +magnitude Q لازم أخدي ال absolute value لها و + +112 +00:08:46,430 --> 00:08:49,910 +إشارتها وين راح؟ هو الحد اللي اتجاهها أصلا خلاص + +113 +00:08:49,910 --> 00:08:53,590 +الحد اللي اتجاهها الإشارة مالهاش دعوة عشان أجيب ال + +114 +00:08:53,590 --> 00:08:59,440 +magnitude خلينا نبدأ الآن نحل أمثلةطبعا كيف اللي + +115 +00:08:59,440 --> 00:09:03,120 +مثلا بيجيبها مثلة شائعة ومتكررة في الأسئلة وفي أصل + +116 +00:09:03,120 --> 00:09:07,100 +اتنين امتحانات بيقولي two pointed charges of seven + +117 +00:09:07,100 --> 00:09:11,460 +microcolom and minus five microcolom وبالتالي + +118 +00:09:11,460 --> 00:09:15,260 +مقدار الشحن ونوح هيعطى اليك بين واحدة positive + +119 +00:09:15,260 --> 00:09:18,360 +اللي هي السابعة والتانية negative اللي هي ال five + +120 +00:09:18,360 --> 00:09:21,540 +are located and shown in the figure وال figure + +121 +00:09:21,540 --> 00:09:25,870 +مكمل لمعطيات السؤالحنديكم الفيجارة find the + +122 +00:09:25,870 --> 00:09:29,290 +resultant electric field at point P والـ point P + +123 +00:09:29,290 --> 00:09:33,130 +بتكون معروفة محددة بالرسمة وبالتالي دايما لما + +124 +00:09:33,130 --> 00:09:37,350 +يقولك find the electric field he should specify + +125 +00:09:37,350 --> 00:09:41,270 +where لازم يقولك وين بالظبط ماينفعش يقولك find the + +126 +00:09:41,270 --> 00:09:44,810 +electric field و فلتك لأن المجال بيختلف من نقطة و + +127 +00:09:44,810 --> 00:09:47,950 +لا نقطة ولا لأ اذا لازم يقولك وين انا بالزمن + +128 +00:09:47,950 --> 00:09:52,740 +يحددلي وين بده المجال الكهربائي الرسمة ده هيعندى + +129 +00:09:52,740 --> 00:09:55,040 +الشحن ال positive اللى هى الحمرة و الشحن ال + +130 +00:09:55,040 --> 00:09:58,400 +negative اللى هى الزرقه و النقطة P مبينه صح ولا لأ + +131 +00:09:58,400 --> 00:10:03,380 +تمام بضلى بدي انا ابعد بقولى هدى Q1 و هدى Q2 و هدى + +132 +00:10:03,380 --> 00:10:07,840 +0.3 و هدى 0.4 متر اذا خلاص كل معطلات السؤالين عرفت + +133 +00:10:07,840 --> 00:10:11,200 +اضل ال تالت بقدر اجيبه من في the horse صح ولا لأ + +134 +00:10:11,200 --> 00:10:16,620 +خلاص ايش بدي اسويه الان ال point P عنده النقطة P + +135 +00:10:16,620 --> 00:10:22,370 +أكم مجال فيه شبابمن الـQ1 في عندي E1 ومن الـQ2 في + +136 +00:10:22,370 --> 00:10:27,910 +عندي E2 اذا انا عندي two electric fields اول خطوة + +137 +00:10:27,910 --> 00:10:32,310 +نتفق نعملها بدنا نحدد اتجاه المجالات على الرسمة + +138 +00:10:32,310 --> 00:10:36,710 +كيف؟ الشحنة مبينة انها positive او negative؟ مبينة + +139 +00:10:36,710 --> 00:10:43,330 +نبدأ بE1 من Q1 الـQ1 positive او negative؟شدة + +140 +00:10:43,330 --> 00:10:47,150 +المجال outward كيف بدي أن ابدا شباب جالي من الرصاص + +141 +00:10:47,150 --> 00:10:49,930 +بيكون عنده نقطة لإن أنا بدي أجيب شدة المجال عنده + +142 +00:10:49,930 --> 00:10:52,510 +نقطة ولا لأ جالي من الرصاص عنده نقطة هدفي عندي + +143 +00:10:52,510 --> 00:10:57,150 +خيارين لا أطلع لا أنزل على الشحنة صح ولا لأ الشحنة + +144 +00:10:57,150 --> 00:10:59,630 +positive أروح الهواء ولا أطلع منها إذا إيش بدي + +145 +00:10:59,630 --> 00:11:03,590 +أتوقع كيف .. فور هذا هي إذا أنا جاي من الرصاص + +146 +00:11:03,590 --> 00:11:06,710 +بيكون عنده نقطة دائما لإن أنا هناك بدي شدة المجال + +147 +00:11:06,710 --> 00:11:12,430 +at point P أو point P معروفة فبقولالاتجارات في + +148 +00:11:12,430 --> 00:11:16,190 +المنطقة الإلكترونية لجميع تجاربها تظهر + +149 +00:11:18,510 --> 00:11:23,710 +فيش اي احتمال اخر حطيت اصبعي عند النقطة P وقلت + +150 +00:11:23,710 --> 00:11:27,570 +outward بقولي عشان ال positive outward طلعت من + +151 +00:11:27,570 --> 00:11:31,550 +الشحنة فيش مجال طبعا it should be along the line + +152 +00:11:31,550 --> 00:11:34,690 +between the point and the charge هذه معروفة مش + +153 +00:11:34,690 --> 00:11:37,250 +صحيح يقولي طب outward فيش لهاد الاتجاه خليني + +154 +00:11:37,250 --> 00:11:41,550 +اطلعها هيك مينفعش ولا طلعها هيك مينفعش لازم تكون + +155 +00:11:41,550 --> 00:11:44,570 +على الخطصحيح ولا لأ؟ يعني مافيش مجال تقولك ما هي + +156 +00:11:44,570 --> 00:11:47,890 +طالعة هيك و لا هيك طالعة لازم تكون على الخط هذا + +157 +00:11:47,890 --> 00:11:51,610 +واضحة هذه الأمور سهلة مافيش فيها مجال انه انخربت + +158 +00:11:51,610 --> 00:11:57,370 +طيب نجري اتنين برضه جلم ارصاص على النقطة P هجيت في + +159 +00:11:57,370 --> 00:12:03,190 +عيني خيارين لأ أطلق لآجي صح ولا لأ هذي ايش اذا + +160 +00:12:03,190 --> 00:12:06,710 +بدها تكون بهذا الشكل + +161 +00:12:12,610 --> 00:12:21,740 +two directions انعرفواواضح ان E1 along the Y axis + +162 +00:12:21,740 --> 00:12:27,100 +و E2 is between the X and Y axis صح ولا لأ it has + +163 +00:12:27,100 --> 00:12:31,240 +a component along the positive X axis and another + +164 +00:12:31,240 --> 00:12:35,100 +component along the negative Y axis لما دي أحللها + +165 +00:12:35,100 --> 00:12:40,800 +E2 مش مركبة صينية موجبة و مركبة صادية لأسفل سالبة + +166 +00:12:40,800 --> 00:12:43,860 +طب كيف بدي أجيب المركبات واحدة واحدة قبل ما أحلل + +167 +00:12:43,860 --> 00:12:47,890 +بدي أجيب ال magnitudesالـ Direction جهزه تظهر علي + +168 +00:12:47,890 --> 00:12:53,990 +المجموعات دعنا نتكلم عن مجموعات الهواتف لكل شركة + +169 +00:12:53,990 --> 00:12:58,830 +احده احده احده احده احده احده احده احده احده احده + +170 +00:12:58,830 --> 00:13:02,810 +احده احده احده احده احده احده احده احده احده احده + +171 +00:13:02,810 --> 00:13:03,030 +احده احده احده احده احده احده احده احده احده احده + +172 +00:13:03,030 --> 00:13:04,650 +احده احده احده احده احده احده احده احده احده احده + +173 +00:13:04,650 --> 00:13:05,430 +احده احده احده احده احده احده احده احده احده احده + +174 +00:13:05,430 --> 00:13:07,290 +احده احده احده احده احده احده احده احده احده احده + +175 +00:13:07,290 --> 00:13:07,730 +احده + +176 +00:13:13,920 --> 00:13:18,160 +E1 due to the 7 micro coulomb and E2 due to the + +177 +00:13:18,160 --> 00:13:23,600 +minus 5 micro coulomb E1 equal K the absolute + +178 +00:13:23,600 --> 00:13:28,480 +value of Q1 over R1 square طبعا R1 هي المسافة بين + +179 +00:13:28,480 --> 00:13:34,990 +P و Q1 و لا لأ كده المسافة بين P و Q1 0.4صحيح ولا + +180 +00:13:34,990 --> 00:13:39,350 +لأ؟ و Q1 معروف ولا مش معروف كرقم؟ و K يُعطى إليك + +181 +00:13:39,350 --> 00:13:47,430 +وانت عارفه بتساوي 9 في 10 عقل 9 هو قيمة K 7 X 10⁻⁶ + +182 +00:13:47,430 --> 00:13:53,490 +هي قيمة Q1 لأنها 7 مايكرو كلوم فصارت 10⁻⁶ over 0 + +183 +00:13:53,490 --> 00:14:01,470 +.4² طلعت تطلعت 3.9 X 10⁵ نيوتن per كلوم هي المقدار + +184 +00:14:02,260 --> 00:14:05,800 +عشان اكتفها ك direction E1 من بين انا بضع جنبها J + +185 +00:14:05,800 --> 00:14:11,060 +وخلاص ولا لأ E1 شايفين كيف اتجاهها لو حطيت E1 + +186 +00:14:11,060 --> 00:14:15,380 +فوقها سهم ساعتها بكتب الرقم هذا و بحط جنبه J بكون + +187 +00:14:15,380 --> 00:14:20,480 +احكي تفضلنا كلهم عامة الترابية في شدة المجال انت + +188 +00:14:20,480 --> 00:14:23,820 +منين جبتها كلهم عامة الترابية طب وكيه هذي وين + +189 +00:14:23,820 --> 00:14:31,450 +راحت؟ مالهاش واحدة كيه؟ هو الثابت مالواش واحدة؟G + +190 +00:14:31,450 --> 00:14:39,430 +ثابتة تعرفها الجهة دي ال 9.8 جيهة دي ال capital G + +191 +00:14:39,430 --> 00:14:44,090 +ذكرها كانت لو احدات كنا نجيب ال .. اذا الثابت لا + +192 +00:14:44,090 --> 00:14:50,520 +يعني انه بدون واحدةكما عرفنا وحدتها هي نيوتن متر + +193 +00:14:50,520 --> 00:14:54,560 +square على كلهم square فالكه ده مش مليون وحدات + +194 +00:14:54,560 --> 00:14:59,580 +فإله وحدة طلعنا a1 ك magnitude شباب نطلع اتنين في + +195 +00:14:59,580 --> 00:15:06,060 +الأول نخلص اتنين equal to the absolute value of Q2 + +196 +00:15:06,060 --> 00:15:16,070 +over RT2 R2 is the distance between Q2 and Bبين Q2 + +197 +00:15:16,070 --> 00:15:22,410 +خمسة من عشرة من فيثا غورد ماهياش و أحد يقولك او + +198 +00:15:22,410 --> 00:15:26,850 +point three بتزعل هدين اخدها ايه تمام اذا معناته + +199 +00:15:26,850 --> 00:15:30,970 +بتساوي تسعة في عشر او تسعة قيمة K و اللي إلها + +200 +00:15:30,970 --> 00:15:36,700 +وحدات حطيت minus five or fiveشوفوا شرط السلب طلعت + +201 +00:15:36,700 --> 00:15:40,540 +لأنه أنا بجيب ال absolute value of q بطلع على ال + +202 +00:15:40,540 --> 00:15:43,740 +magnitude زي ما حجز منكم إذا ما في five ten to + +203 +00:15:43,740 --> 00:15:48,020 +power minus six over 0.5 square و ال 0.5 هو + +204 +00:15:48,020 --> 00:15:55,000 +المسافة ما بين E P و Q2 في ثغورس حكى لي إنها 0.5 + +205 +00:15:55,000 --> 00:16:00,040 +طلعت طلعت one point eight ten to power six Newton + +206 +00:16:00,040 --> 00:16:05,790 +per column حلوالـ two magnitudes are ready now بدي + +207 +00:16:05,790 --> 00:16:10,930 +اكتبهم ك vectors دلوقتي E1 بدهاش تحليل E2 بدي + +208 +00:16:10,930 --> 00:16:14,130 +احللها we have to resolve it into two components + +209 +00:16:14,130 --> 00:16:19,750 +تمام بيقول لي in vector notation we have for E1 زي + +210 +00:16:19,750 --> 00:16:23,590 +ما حكينا E1 سهل على العملية مجرد اني بكتب E1 equal + +211 +00:16:23,590 --> 00:16:27,310 +to 3.9 10 to the power of 5 وحطي جنبها G عادي + +212 +00:16:29,920 --> 00:16:37,140 +التانية ماذا تفعل فيها؟ تحدد الزاوية المركبات + +213 +00:16:37,140 --> 00:16:42,640 +تبعتها ها هدهم واحدة صينية موجبة والتانية صادية + +214 +00:16:42,640 --> 00:16:49,880 +سالبة بدي زاوية فانا اخترت الزاوية هدا هيإذا صارت + +215 +00:16:49,880 --> 00:17:00,160 +E2 بيتساوي 1.8 x 5 cos θ minus 1.8 x 5 sin θ كيف + +216 +00:17:00,160 --> 00:17:05,420 +بتجيب cos θ و sin θ الآن الزاوية + +217 +00:17:05,420 --> 00:17:10,620 +بالتبادل بتساوي الزاوية هذه ولا لأو هذه ال cos + +218 +00:17:10,620 --> 00:17:16,600 +بتسوي 0.3 على 0.5 و sin بتسوي 0.4 على 0.5 صح ولا + +219 +00:17:16,600 --> 00:17:21,400 +لأ اذا الزاوية اللي انا بدور عليها هي نفسها الحمرا + +220 +00:17:21,400 --> 00:17:28,180 +هذه صحيح ولا لأ و هذه صار عندى هذه بتسوي 0.3 على 0 + +221 +00:17:28,180 --> 00:17:38,560 +.5 بتسوي 0.6 3 ع 5 و ال sin 4 ع 5 اللي هي 0.8أذا + +222 +00:17:38,560 --> 00:17:40,980 +الـ cosine و الـ sine أنا عارف طبعا أنا بديحي + +223 +00:17:40,980 --> 00:17:43,220 +الزاوية بدي ال cos و ال sin جديحي الزاوية ماني + +224 +00:17:43,220 --> 00:17:53,080 +جاوةبعد ما حسبناها طلعت بهذا الشكل بعد ما + +225 +00:17:53,080 --> 00:18:00,180 +جيبت E1 and E2 شباب الان E الكلية هي E1 plus E2 + +226 +00:18:00,180 --> 00:18:06,200 +the vector sum of E1 plus E2 فصارت سهل now the + +227 +00:18:06,200 --> 00:18:13,630 +resultant electric field at point P isEP equals E1 + +228 +00:18:13,630 --> 00:18:23,270 +plus E2 جمعتهم فطلعتها بهذا الشكل طبعا + +229 +00:18:23,270 --> 00:18:25,950 +ايه مع الصيني مع الصيني و الصاضي مع الصاضي و + +230 +00:18:25,950 --> 00:18:30,010 +بالتالي طلع الجواب بهذا الشكل في مشكلة شباب فينا + +231 +00:18:30,010 --> 00:18:34,770 +نطبق زي ال force بالظبط مافيش مشكلة بعدد اتجاه + +232 +00:18:34,770 --> 00:18:39,850 +بجيب كل واحدة على حده بكتبهم ك vectors بعدين بجمع + +233 +00:18:39,850 --> 00:18:46,930 +في مشكلةفي أي صفصار يا شباب؟ هيك هيكون الأسئلة + +234 +00:18:46,930 --> 00:18:54,670 +مشابهة لهذه الأسئلة كمان مثال بيقوللي برضه عندك a + +235 +00:18:54,670 --> 00:18:57,690 +positive point in charge q and a negative point in + +236 +00:18:57,690 --> 00:19:02,470 +charge minus q عندك two charges المثال السابق + +237 +00:19:02,470 --> 00:19:05,870 +يعطاني قيمها واحدة خمسة ماقص خمسة وواحدة سبعة صح + +238 +00:19:05,870 --> 00:19:09,570 +ولا لأ الآن جلبي ديش اديك أرقام واحدة q واحدة سالب + +239 +00:19:09,570 --> 00:19:17,340 +qو 1 موجة و 1 سالبة و نفس المقدار are separated by + +240 +00:19:17,340 --> 00:19:22,040 +a distance 2A و بينهم مسافة 2A اللي بين الجثين + +241 +00:19:22,040 --> 00:19:27,800 +فلتك منه اللي ضايبون ايش بده find E at a point P a + +242 +00:19:27,800 --> 00:19:31,120 +distance Y و Y أكبر 2 من A from the origin خلينا + +243 +00:19:31,120 --> 00:19:35,690 +نرسم الرسمة أولهذه هي في عندي الشحنة الحمرة + +244 +00:19:35,690 --> 00:19:39,750 +والشحنة الزرقى ال negative واحدة Q والتانية سالب Q + +245 +00:19:39,750 --> 00:19:45,010 +نفس المقدار بدو الشدة المجال كربع عند نقطة P و + +246 +00:19:45,010 --> 00:19:48,830 +النقطة P شباب عاملة مع الشحنتين مثلث متساوي + +247 +00:19:48,830 --> 00:19:53,550 +الساقين هذا معطيعتتمام؟ لأنه شايفين انه A و A من + +248 +00:19:53,550 --> 00:19:57,410 +النص وبالتالي هذه مثلثة متساوي اثقين بمعنى اخر + +249 +00:19:57,410 --> 00:20:03,610 +شباب اتضلع حاجة بدي اعتبره R و اتضلع حاجة برضه R + +250 +00:20:03,610 --> 00:20:07,050 +تمام؟ + +251 +00:20:07,050 --> 00:20:10,590 +نفس اللي اتضلع ولا لأ؟ نفس اللي اتضلع ايش بده؟ بده + +252 +00:20:10,590 --> 00:20:15,940 +المجال الكلي اه كم مجال عنده نقطة P؟ اتنينالان + +253 +00:20:15,940 --> 00:20:18,860 +المعطيات اللي بيقولي هدى ايه و سالب ايه و سماه + +254 +00:20:18,860 --> 00:20:22,280 +electric die ball انه اكبر كتير من ايه ليش عملها + +255 +00:20:22,280 --> 00:20:27,540 +احنا المجال الكهربائي بنجرسه ليش بس عشان يشوفلي + +256 +00:20:27,540 --> 00:20:30,100 +شحنة و شحنة و انتوا في الواقع في شحنة هنا عروس + +257 +00:20:30,100 --> 00:20:34,880 +متلال شحنات و بنجيب شدة مجال لها لأ الواقع مش هيك + +258 +00:20:34,880 --> 00:20:39,700 +طب هو شو الواقع الواقع شباب انه حكينا من بدايات + +259 +00:20:39,700 --> 00:20:46,730 +المادةإن أصل الشحنات هي الـ Atoms Electrons and + +260 +00:20:46,730 --> 00:20:51,610 +Protons وكل مادة فيها Electrons and Protons ولا لأ + +261 +00:20:51,610 --> 00:20:55,050 +إذا أنا بتوقع الآن في كل مادة في مجال كهربائي ولا + +262 +00:20:55,050 --> 00:20:58,450 +لأ؟ في مجال كهربائي طب و المجال الكهربائي تطبيقاته + +263 +00:20:58,450 --> 00:21:01,250 +كثيرة هذه المادة اللي بدي أنا أحطها في الكمبيوتر + +264 +00:21:01,250 --> 00:21:03,690 +ولا في الكمبيوتر ولا في سيارة ولا وين ما يكون يكون + +265 +00:21:03,690 --> 00:21:07,980 +لازم أعرف خواصهامن ضمن القواص المهم اللي بدي + +266 +00:21:07,980 --> 00:21:11,000 +أعرفها جوا المادة هو إنه هل في مجال كهربائي ولا + +267 +00:21:11,000 --> 00:21:15,580 +لأ؟ لأن لو حاططها مجال كهربائي ممكن تعملي مشكلة، + +268 +00:21:15,580 --> 00:21:19,680 +صح ولا لأ؟ إذا لابد أنا أفحص هذه الخواص، قالك طب + +269 +00:21:19,680 --> 00:21:22,240 +هذه المادة كيف بدك تجيب مجالها؟ قال المادة مليش + +270 +00:21:22,240 --> 00:21:26,120 +متكونة، خليني على أبسط الشغلات، بروتون وإلكترون، + +271 +00:21:26,120 --> 00:21:30,060 +صح ولا لأ؟ شحنة البروتون وشحنة الإلكترون متساويات + +272 +00:21:30,060 --> 00:21:33,280 +ولا مش متساويات؟و واحدة منهم positive و واحدة منهم + +273 +00:21:33,280 --> 00:21:38,120 +negative ولا لأ؟ زي المثال هذاإذاً هذا مثال حي + +274 +00:21:38,120 --> 00:21:44,740 +لمادة واقعية هذا الجزيء اللي proton و electron أو + +275 +00:21:44,740 --> 00:21:48,400 +positive molecule and negative molecule بيسموه + +276 +00:21:48,400 --> 00:21:52,200 +electric dipole فنائي قط بي دايما مع بعض بيكونوا + +277 +00:21:52,200 --> 00:21:55,540 +في المادة بينفصلوش دايما حوالين بعض فهذه بيسموها + +278 +00:21:55,540 --> 00:21:58,560 +electric dipole إذا شوفوا ال electric dipole بيقول + +279 +00:21:58,560 --> 00:22:01,280 +positive charge and negative charge بينهم مسافة + +280 +00:22:01,280 --> 00:22:05,180 +بيسموه electric dipoleبقالوش مرة عليكم كلمة Bible + +281 +00:22:05,180 --> 00:22:08,800 +ولا لأ في مكان ما مش مشكلة التصميم أنا بالنسبالي + +282 +00:22:08,800 --> 00:22:11,240 +إلى هنا أنا نطبيق بدي أجيب في النهاية شدة مجال + +283 +00:22:11,240 --> 00:22:15,540 +الكهربائي طيب إيش معناة Y أكبر كتير من إيه؟ جالي + +284 +00:22:15,540 --> 00:22:19,160 +أرجع لضربة الهيدروجين جديش المسافة بين الألكترون + +285 +00:22:19,160 --> 00:22:23,460 +والبروتون؟ مش خدتها مثال أنا؟ ذاكرينها؟ لما جبت + +286 +00:22:23,460 --> 00:22:27,720 +القوة الكهربية والقوة التجاذبية بين الألكترون + +287 +00:22:27,720 --> 00:22:30,540 +والبروتون؟ جديش المسافة بين الألكترون والبروتون؟ + +288 +00:22:30,540 --> 00:22:35,180 +نص أنجسترونتقريبا نص انجسترون كبيرة ولا صغيرة + +289 +00:22:35,180 --> 00:22:40,280 +صغيرة كتير اذا دائما المسافة بين الالكترون + +290 +00:22:40,280 --> 00:22:44,500 +والبروتون الصغيرة اللي هي A هنا بيقول لي Y عادة + +291 +00:22:44,500 --> 00:22:49,790 +حتى لو كانت ملي متر بتكون اكبر كتير من Aبتكون اكبر + +292 +00:22:49,790 --> 00:22:52,730 +كتير من ايه فلما يقولي why اكبر كتير من ايه برضه + +293 +00:22:52,730 --> 00:22:57,050 +عشان يجربني لواقع التطبيق انه هيك بتكون في الواقع + +294 +00:22:57,050 --> 00:23:00,350 +ان المسافات اللي انت بتتعامل معاها بين electron و + +295 +00:23:00,350 --> 00:23:05,070 +proton is microscopic very very small فهذه مجرد + +296 +00:23:05,070 --> 00:23:08,170 +هيك اما احنا في النهاية كمثال انا بتحلله عادي انا + +297 +00:23:08,170 --> 00:23:15,920 +وياكم احكي يا عماري هو هدراء طانيةمعطيات النقطة بي + +298 +00:23:15,920 --> 00:23:21,820 +جالب تقص على الخط الفاصل بالنص بالظبط يعني هو لما + +299 +00:23:21,820 --> 00:23:25,820 +يقولك هذه ايه وهذه ايه وحطلك النقطة بي في مجانا + +300 +00:23:25,820 --> 00:23:29,520 +تكونش متساوى الساقين مش متساوى الساقين الخط اللي + +301 +00:23:29,520 --> 00:23:33,500 +بنزل بجسمه بالنص هذا من خاص مثلث متساوى الساقين + +302 +00:23:33,500 --> 00:23:38,040 +اذا من معطيات السؤال هو الحدد النقطة بي اول ما + +303 +00:23:38,040 --> 00:23:40,720 +شوفت النقطة بي قلت اذا هذا مثلث متساوى الساقين + +304 +00:23:40,720 --> 00:23:46,830 +واضح تمامأذا انا كمثال هذه القضية التي فيها بولو + +305 +00:23:46,830 --> 00:23:50,410 +ان هو اكبر team من ايه عرفني ايش الهدف منها علشان + +306 +00:23:50,410 --> 00:23:55,150 +يقربني يقوللي هذا نموذج واقعي للمادة اي ان كانت + +307 +00:23:55,150 --> 00:23:58,350 +المادة لكن في النهاية كمثال بتحلول انا وياكم عادي + +308 +00:23:58,350 --> 00:24:01,970 +اكتر مجالي اتفقنا فيه مجالين واحد من ال positive + +309 +00:24:01,970 --> 00:24:05,250 +واحد من ال negative نبدأ بال positive اللي هو E1 + +310 +00:24:05,250 --> 00:24:10,920 +شدة المجال كيف تكون في جاهزoutward تم اذا انا بدي + +311 +00:24:10,920 --> 00:24:13,940 +اقول the directions of the electric field due to + +312 +00:24:13,940 --> 00:24:17,180 +each charge are same مثل الصادق قول عادي عامل هاي + +313 +00:24:17,180 --> 00:24:23,440 +اي واحد في مشكلة شباب طيب التاني بده police صحيك + +314 +00:24:23,440 --> 00:24:27,540 +ولا لأ حلو ال direction بين والتانيين بدهم تحليل + +315 +00:24:27,540 --> 00:24:32,180 +ولا لأ التانيين بدهم تحليل طيب عشان احل بدي بال + +316 +00:24:32,180 --> 00:24:36,740 +magnitude ال magnitude بسوى Kabsolute value of the + +317 +00:24:36,740 --> 00:24:40,820 +cube على R تربيع صح ولا لأ؟ الأولى والتانية ال + +318 +00:24:40,820 --> 00:24:43,040 +absolute value of the cubes بيختلفوا عن بعض؟ لأ لأ + +319 +00:24:43,040 --> 00:24:45,520 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +320 +00:24:45,520 --> 00:24:46,480 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +321 +00:24:46,480 --> 00:24:46,540 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +322 +00:24:46,540 --> 00:24:46,640 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +323 +00:24:46,640 --> 00:24:47,400 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +324 +00:24:47,400 --> 00:24:51,120 +لأ لأ لأ لأ ل + +325 +00:24:55,460 --> 00:24:58,320 +The resultant electric field at point B بيقول + +326 +00:24:58,320 --> 00:25:02,520 +بيقول بيقول + +327 +00:25:02,520 --> 00:25:13,400 +بيقول بيقول بيقول بيقول بيقول بيقول بيقول بيقول + +328 +00:25:13,400 --> 00:25:16,780 +بيقول بيقول بيقول بيقولو E negative جاي من + +329 +00:25:16,780 --> 00:25:20,160 +negative charge و انا شباب تمام عندي two electric + +330 +00:25:20,160 --> 00:25:23,720 +fields و بدي اجمعهم حددت اتجاهاتهم لجيب ال + +331 +00:25:23,720 --> 00:25:29,550 +magnitudes بيقول لي since Bis equidistance from + +332 +00:25:29,550 --> 00:25:33,410 +the two charges على أبعاد متساوية من الشحنتين + +333 +00:25:33,410 --> 00:25:38,030 +لأنهم مثلث و متساوي الساقين بما أن B تبعد عن ال + +334 +00:25:38,030 --> 00:25:41,390 +positive charge بنفس المسافة اللي بتبعدها عن ال + +335 +00:25:41,390 --> 00:25:43,850 +negative charge equidistance يعني على أبعاد + +336 +00:25:43,850 --> 00:25:47,890 +متساوية from the two charges the magnitude of E + +337 +00:25:47,890 --> 00:25:52,290 +plus and E negative are equalلأن اتفاقنا E بيسوي K + +338 +00:25:52,290 --> 00:25:57,550 +الـ two K واحدة absolute value للـ Q والتلين واحدة + +339 +00:25:57,550 --> 00:26:01,250 +على مربع المسافة ومربع المسافة واحد ولا لأ إذا the + +340 +00:26:01,250 --> 00:26:04,890 +magnitude of E plus and the magnitude of E + +341 +00:26:04,890 --> 00:26:11,430 +negative are the same إيش بيسوي؟ بتساوي K Q على R + +342 +00:26:11,430 --> 00:26:17,760 +تربية صح ولا لأ؟ طب R بقدر أجيبها بجللة Y وAأه لأن + +343 +00:26:17,760 --> 00:26:21,520 +Y و E هي المعطيات أرض مش معطة و هذي بتساوي لو بدي + +344 +00:26:21,520 --> 00:26:25,260 +أجي أعملها ايه تربيع زي Y تربية صح ولا لأ شباب + +345 +00:26:25,260 --> 00:26:29,780 +تمام ال magnitude عامة إيش ضال عليها أكتبهم ك + +346 +00:26:29,780 --> 00:26:33,060 +vectors و أجمع صح ولا لأ ده عشان أكتبهم ك vectors + +347 +00:26:33,060 --> 00:26:37,620 +بدي أنحلل خلّينا نحلل E واحد تصوروها كده تكون + +348 +00:26:37,620 --> 00:26:43,000 +واحدة رايحة positive x زي و التانية فوق فبوت تانية + +349 +00:26:44,170 --> 00:26:47,770 +و واحدة positive x اكس و تانية طيب ال positive + +350 +00:26:47,770 --> 00:26:51,230 +واحدة فوق و واحدة تحته متساويه اتحب تصرفيهم؟ بدهم + +351 +00:26:51,230 --> 00:26:55,940 +يلغوه بعرفصح ولا لا؟ خلّينا نحكي بقول as it is + +352 +00:26:55,940 --> 00:27:00,320 +clear from the directions of the two fields من ال + +353 +00:27:00,320 --> 00:27:05,600 +direction تبقى on T fields the Y components are + +354 +00:27:05,600 --> 00:27:12,220 +cancel out of E plus and E minus cancel each other + +355 +00:27:12,220 --> 00:27:15,300 +عدنا بنشوفها على الرسمة the net electric field at + +356 +00:27:15,300 --> 00:27:19,870 +P is therefore هاي الأولى صحيك تحليلها؟E plus + +357 +00:27:19,870 --> 00:27:25,330 +هيتحليلها والتانية هيتحليلها صحيح ولا لأ؟ اتطلع + +358 +00:27:25,330 --> 00:27:30,010 +شوفوا ال y components ايش صار فيهم؟ واحدة لفوق و + +359 +00:27:30,010 --> 00:27:33,910 +انا روحنا مظبوط + +360 +00:27:33,910 --> 00:27:38,390 +هيك؟ حاجات التنتين عكس بعض و احنا اتفقنا من أول ان + +361 +00:27:38,390 --> 00:27:44,330 +هم متساويات اجمعهم، راحوا والصيني بينجمعوا مع بعض + +362 +00:27:44,330 --> 00:27:49,440 +صحي ولا لأ؟أذن راحوا و نظروا عندى E باتجاه الصيني + +363 +00:27:49,440 --> 00:27:53,640 +طيب هى كام مركبة صينية فيها عندى اذا مجموحهم + +364 +00:27:53,640 --> 00:27:56,260 +الصينية الأولى زي الصينية التانية طب الصينية كيف + +365 +00:27:56,260 --> 00:27:59,920 +ده تجيبها مش بدي ايه قصان الزاوية مظبوط ولا لأ و + +366 +00:27:59,920 --> 00:28:03,500 +قصان الزاوية سهل قصان الزاوية شبكت لو أخدت زاوية + +367 +00:28:03,500 --> 00:28:08,700 +هادي انا sorry او أخدت زاوية هادي بتفرقوا عن بعض + +368 +00:28:08,700 --> 00:28:15,700 +هادي هي نفسها هادي صح و هادي هي نفسها هاديإذا نفس + +369 +00:28:15,700 --> 00:28:20,840 +الزوايا تفرجش معاك لأ بتحلل الأولى لأ بتحلل التانى + +370 +00:28:20,840 --> 00:28:26,680 +و أحنا متفقين إنهم أصلا equals احكي ماجيبلها + +371 +00:28:26,680 --> 00:28:28,980 +هو وين هي وين جالك مش Absolute هجيش مقدارها جيش + +372 +00:28:28,980 --> 00:28:32,080 +مقدارها لو كان مقدارها خمسة بده أضل نحط الabsolute + +373 +00:28:32,080 --> 00:28:36,420 +الخمسة و لا أحط خمسة هجت سالب خمسة بده أحط خمسة + +374 +00:28:36,420 --> 00:28:41,450 +برضه هو اللي جالك ال Q و التانية جيش مقدارهاسالب + +375 +00:28:41,450 --> 00:28:44,910 +كيو واحد السالب والأول الموجة بقى راح تسي الموجة + +376 +00:28:44,910 --> 00:28:48,650 +ويبقى لها كيو فالمقدار بيسوا كيو هو مقدارها بدي + +377 +00:28:48,650 --> 00:28:53,930 +الخمسة والسبعة هذي كيو فهمت عليا أحكي طب عمان انا + +378 +00:28:53,930 --> 00:28:58,170 +عملتي اتجاه وخلصت اما هنا لو في انا قولت هذي و هذي + +379 +00:28:58,170 --> 00:29:01,810 +بيسوا بعض طب واحد منهم سالب مفينتش اذا انا حطيت + +380 +00:29:01,810 --> 00:29:05,310 +كيو كرقم هذي هو مقدار كيو تمام؟ + +381 +00:29:08,540 --> 00:29:12,020 +أيش بتساوي يعني؟ ايه ايش بتساوي؟ مش K وQ على R + +382 +00:29:12,020 --> 00:29:17,460 +تربيع صح ولا لأ؟ ليه جي الاتنين؟ نفس ال K؟ مش ايه + +383 +00:29:17,460 --> 00:29:20,960 +لاتنتين نفس ال K؟ لأنه K constant لاتنتين نفس ال Q + +384 +00:29:20,960 --> 00:29:25,820 +ولا لأ؟ مش هو أعطاني هو واحدة Q واحدة سلبي Q؟ إذا + +385 +00:29:25,820 --> 00:29:29,560 +المقدار هم واحد ولا لأ؟ طب نفس ال R ولا مش نفس ال + +386 +00:29:29,560 --> 00:29:34,060 +R؟ لأن عليها هي نفس ال R التفاقن من أول إذا بتوقع + +387 +00:29:34,060 --> 00:29:41,540 +اي واحد و اي اتنين بيساوي بعد؟K نفسها Q نفسها وR + +388 +00:29:41,540 --> 00:29:46,240 +نفسها اذا بيتوقع ان E1 وE2 are equal in magnitude + +389 +00:29:46,240 --> 00:29:49,180 +البراشر مش equal احنا سايفين كل واحدة لها + +390 +00:29:49,180 --> 00:29:51,860 +direction مختلفة عن التاني لكن ال magnitude بحسب + +391 +00:29:51,860 --> 00:29:53,960 +القوانين طلعوا يتزاوجوا بعيد يعني اذا بدي احط + +392 +00:29:53,960 --> 00:29:59,420 +أرقام هتطلعوا يعملوا نفس الرقم صحيح ولا لأ تمام + +393 +00:29:59,420 --> 00:30:04,120 +شباب الان بقول ليه مزال هيك اشتغل + +394 +00:30:07,020 --> 00:30:10,740 +يجب أن ننقل إلى E Plus Cos Theta Plus E Minus Cos + +395 +00:30:10,740 --> 00:30:14,860 +Theta ثم + +396 +00:30:14,860 --> 00:30:18,660 +ننقل إلى E Plus + +397 +00:30:18,660 --> 00:30:20,200 +E Minus Theta Plus E Minus Theta Plus E Minus + +398 +00:30:20,200 --> 00:30:21,000 +Theta Plus E Minus Theta Plus E Minus Theta Plus E + +399 +00:30:21,000 --> 00:30:21,000 +Minus Theta Plus E Minus Theta Plus E Minus Theta + +400 +00:30:21,000 --> 00:30:21,040 +Plus E Minus Theta Plus E Minus Theta Plus E Minus + +401 +00:30:21,040 --> 00:30:21,060 +Theta Plus E Minus Theta Plus E Minus Theta Plus E + +402 +00:30:21,060 --> 00:30:21,060 +Minus Theta Plus E Minus Theta Plus E Minus Theta + +403 +00:30:21,060 --> 00:30:21,060 +Plus E Minus Theta Plus E Minus Theta Plus E Minus + +404 +00:30:21,060 --> 00:30:21,200 +Theta Plus E Minus Theta Plus E Minus Theta Plus E + +405 +00:30:21,200 --> 00:30:21,460 +Minus Theta Plus E Minus Theta Plus E Minus Theta + +406 +00:30:21,460 --> 00:30:21,520 +Plus E Minus Theta Plus E Minus Theta Plus E Minus + +407 +00:30:21,520 --> 00:30:27,250 +Theta Plus E Minكداش يعني؟ Y على R صح ولا لأ؟ إذا + +408 +00:30:27,250 --> 00:30:29,710 +كصين الثيتا بيساوي Y على R طبعا كصين الثيتا الأولى + +409 +00:30:29,710 --> 00:30:32,190 +والتانية بيساوي بعض ولا بيساويش بعض؟ بيساوي ببعض + +410 +00:30:32,190 --> 00:30:35,310 +لإنه طلع عنده هذه الزاوية أو هذه الزاوية كصينها + +411 +00:30:35,310 --> 00:30:38,990 +إيش؟ A على R أو هيك A على R هذي بيعني إنه برضه + +412 +00:30:38,990 --> 00:30:43,920 +متساوى الصقيل تمام الزاوية متساويةcos θ بيساوي E + +413 +00:30:43,920 --> 00:30:48,060 +على R صح ولا لأ ارجع فوق E plus و E minus بيساوي + +414 +00:30:48,060 --> 00:30:51,880 +بعد و cos θ الأولى و cos θ التانية بيساوي بعد اذا + +415 +00:30:51,880 --> 00:30:58,900 +ايه الكلية بيساوي 2E cos θ E طلعتها بيساوي KQ على + +416 +00:30:58,900 --> 00:31:04,320 +R تربية اذا صار الجواب 2KQR + +417 +00:31:04,320 --> 00:31:11,560 +على R تربية حد هو Eمظبوط ولا لا؟ وcos θ بتساوي a + +418 +00:31:11,560 --> 00:31:17,800 +على r جمعت طلعت هيك كيوتنين a على r تكعين طبعا + +419 +00:31:17,800 --> 00:31:21,560 +باتجاه ال I عسله الصيني متش شايفينه باتجاه ال I + +420 +00:31:21,560 --> 00:31:25,800 +طيب ده اللي هادي ال R وانت طوا كتبتليها بدلات ايش + +421 +00:31:25,800 --> 00:31:33,360 +Y وA مظبوط ولا لا؟R تكعيب بتساوي A تربيع زي ال Y + +422 +00:31:33,360 --> 00:31:37,820 +تربيع جزر التلاتة عتني صحيح ولا لأ لأن ال R هي + +423 +00:31:37,820 --> 00:31:43,420 +square root of A تربيع plus Y تربيع طيب طبعا + +424 +00:31:43,420 --> 00:31:48,560 +الجواب كمثال خلص هنا خلصت انتهينا بس انا حكيت انه + +425 +00:31:48,560 --> 00:31:54,780 +عشان واقعي هذا و حكيلي جايلي Y much greater than A + +426 +00:31:54,780 --> 00:32:02,900 +و Y أكبر كتير من Aهذه Y كبيرة وهذه A ذاكرين في + +427 +00:32:02,900 --> 00:32:06,000 +فيزي ألف يقولنا واحد معاه مليون دينار و كمان دينار + +428 +00:32:06,000 --> 00:32:08,780 +يقوله جدش معاك يقولك مليون دينار ولا يقولك مليون + +429 +00:32:08,780 --> 00:32:12,860 +دينار و دينار خلاص دينار الله سهل عليه و واحد محش + +430 +00:32:12,860 --> 00:32:16,850 +إلا ديناربيرضى تقوله مش موجود معاك؟ بقولك هو كل + +431 +00:32:16,850 --> 00:32:21,590 +اللي حيلتي صح ولا لأ؟ اذا دايما التقريب بيكون بحسب + +432 +00:32:21,590 --> 00:32:26,950 +اللي بتقارن معاه بيقول why مليون دينار؟ وها دي + +433 +00:32:26,950 --> 00:32:30,320 +دينار؟ الله سهل عليه الدينار، ايش بيطلع عندي؟واي + +434 +00:32:30,320 --> 00:32:33,320 +تربيع واي تربيع تلاتة عتنين بيصير وقتك عيب ولا لأ + +435 +00:32:33,320 --> 00:32:36,720 +اذا هذا بيستبدل هذا حالة خاصة شباب زي ما اتفقنا + +436 +00:32:36,720 --> 00:32:41,400 +هنا خلصت المثال هجيت انا بس مجرب المعطيات بدي اجمل + +437 +00:32:41,400 --> 00:32:46,280 +الجواب اقول بما انه قاللي ان واي كتير اكبر من ايه + +438 +00:32:46,280 --> 00:32:53,570 +بيصحليفي اكبر اكتير من ايه هو اعطاني هذا الشرق ال + +439 +00:32:53,570 --> 00:32:57,490 +first + +440 +00:32:57,490 --> 00:33:04,000 +term اللي هو الدينار اهملهSo that R تكعيب is + +441 +00:33:04,000 --> 00:33:09,100 +approximated to بيصير R تكعيب تقريبا بتساوي Y + +442 +00:33:09,100 --> 00:33:14,340 +تكعيب خلاص فبتصيريش سؤال بيقولك شدة المجال داخل + +443 +00:33:14,340 --> 00:33:19,480 +المادة هو عبارة عن K اتنين ا على Y تكعيب تقريبا + +444 +00:33:19,480 --> 00:33:21,820 +يعني بمعنى اخر لما يقولك اوجد شدة المجال داخل + +445 +00:33:21,820 --> 00:33:24,360 +المادة عن نقطة معينة مالكيش دعوة من المسافات اللي + +446 +00:33:24,360 --> 00:33:28,240 +جوا خلاص بتقعد على Y تكعيب و بتريح حالك تقريبا + +447 +00:33:28,240 --> 00:33:32,130 +بيساوي بعض و بيجيبهاعشان برضه يسهلوا احارب داله + +448 +00:33:32,130 --> 00:33:36,110 +هذه الكمية شباب اللي هي Q في المسافة اللي بين + +449 +00:33:36,110 --> 00:33:39,230 +الشحنتين مش 2A المسافة بين الشحنتين الـQ في + +450 +00:33:39,230 --> 00:33:41,890 +المسافة اللي بين الشحنتين بيسموها الـelectric + +451 +00:33:41,890 --> 00:33:47,050 +dipole moment P الـelectric dipole moment P فبيقول + +452 +00:33:47,050 --> 00:33:51,810 +الـP هذه اللي انحطت محل Q في 2A مجرد يعني معلومة + +453 +00:33:52,520 --> 00:33:59,340 +Where P بتساوي Q في 2A Q في المسافة اللي بين + +454 +00:33:59,340 --> 00:34:02,040 +الشحنتين هو انا عندي شحنتين مقاديرهم مختلفة ولا + +455 +00:34:02,040 --> 00:34:05,420 +واحدة باخد مقدار الشحنة بضربها في المسافة اللي + +456 +00:34:05,420 --> 00:34:10,260 +بينهم يسمى P وهو ال electric dipole moment is + +457 +00:34:10,260 --> 00:34:13,680 +called the electric dipole moment if the direction + +458 +00:34:13,680 --> 00:34:15,600 +is taken to be from the positive charge to the + +459 +00:34:15,600 --> 00:34:17,800 +negative charge هنا المفروض يكون معكوس مش مهم + +460 +00:34:17,800 --> 00:34:25,290 +بنعملها كمانندى نطلع الان شباب على شغلة جديدة طبعا + +461 +00:34:25,290 --> 00:34:30,510 +بعنوان شباب electric field of a continuous charge + +462 +00:34:30,510 --> 00:34:34,910 +distribution خلينا نتذكر مع بعض continuous mass + +463 +00:34:34,910 --> 00:34:38,940 +distribution مرة علينا فيزياء الفcontinuous mass + +464 +00:34:38,940 --> 00:34:42,920 +distribution لما جبنا ال center of mass و لما جبنا + +465 +00:34:42,920 --> 00:34:47,860 +ال point of inertia of رد ذاكرينه اتعاملنا مع + +466 +00:34:47,860 --> 00:34:50,840 +continuous mass distribution ايش يعني continuous + +467 +00:34:50,840 --> 00:34:54,860 +mass distribution حد جلم نيجي على mass + +468 +00:34:54,860 --> 00:34:58,880 +distribution بقول الكتل وينها؟ في فرق بين كتلة و + +469 +00:34:58,880 --> 00:35:05,800 +كتلة؟إذا الكتل متوزعة بانتظام وباستمرار على كل + +470 +00:35:05,800 --> 00:35:08,920 +الجلام صح ولا لأ تفردك من ال mass distribution هذا + +471 +00:35:08,920 --> 00:35:13,270 +كله مشهوركله مشهور لما أقول كله مشهور يعني وين ما + +472 +00:35:13,270 --> 00:35:16,610 +تحط أصبعك فيه شحنات ولا لأ إذا الشحنات موزعة + +473 +00:35:16,610 --> 00:35:19,790 +continuously مش شحنة هنا وشحنة هنا وشحنة هنا + +474 +00:35:19,790 --> 00:35:23,870 +continuous charge distribution فبهذا الكلام بدي + +475 +00:35:23,870 --> 00:35:28,450 +أجيب شدة مجاله بقدر أطبق عليه قانون ايه بتسوي KQ + +476 +00:35:28,450 --> 00:35:32,570 +على R تربية لأ لأنه هداك بيقول إلى pointed charge + +477 +00:35:32,570 --> 00:35:36,330 +هذا بيسموه continuous charge distribution هذا + +478 +00:35:36,330 --> 00:35:41,200 +الباب كله مشهور فيه مجال حوالين؟في مجال طب كيف بدي + +479 +00:35:41,200 --> 00:35:45,340 +أحسبه برضه بده شغل قانون كلهم لا ينطبق عليه إذا + +480 +00:35:45,340 --> 00:35:50,860 +كيف بدي أتعامل العملية سهلة مشكلتي في هذا الجلد + +481 +00:35:50,860 --> 00:35:55,740 +أنه مافيش عندي قانون ينطبق عليه صح ولا لأ طيب ربنا + +482 +00:35:55,740 --> 00:36:00,180 +خلج عننا مجصات كتيرة ومنشير ومنشترات وكل حاجة هذا + +483 +00:36:00,180 --> 00:36:02,960 +بدي أجيب مجص وضن أجاز جص فيه لما أصير pointed + +484 +00:36:02,960 --> 00:36:07,890 +charge بصح ليه بصحليه؟ لأن الـ Pointed Charge له + +485 +00:36:07,890 --> 00:36:12,790 +قانون، هذا ليس له قانون، بلاش، قصه، فهذا كم قطعة + +486 +00:36:12,790 --> 00:36:17,470 +أطلع، فخلّيه يطلع له عشرين قطعة، تمام؟ عشرين قطعة، + +487 +00:36:17,470 --> 00:36:21,030 +يعني عشرين Pointed Charge، شدت المجال لتوتر شارج + +488 +00:36:21,030 --> 00:36:23,570 +الشخص اللي طلعتهم، ولا لا؟ لو جاك مثال، تلاتة + +489 +00:36:23,570 --> 00:36:26,550 +Pointed Charge، بتقولي، هو دي مصعب السؤال، اعطونا + +490 +00:36:26,550 --> 00:36:31,340 +بس اتنين، بتعرفش تجيبلي تلاتة؟بتعرف الـG طب لو + +491 +00:36:31,340 --> 00:36:35,940 +لعشرة بتعرف الـG بس أطول بيكون الحل صح ولا لأ؟ بدك + +492 +00:36:35,940 --> 00:36:38,820 +زمان اديني زمان بطلعله ان شاء الله انا مليون صحيح + +493 +00:36:38,820 --> 00:36:43,080 +ولا لأ؟ اذا العملية انا كيف بيتعامل معاه؟ بقول انا + +494 +00:36:43,080 --> 00:36:47,480 +هذا ال child distributionبدي اجسمه ل pointy + +495 +00:36:47,480 --> 00:36:52,320 +charges طيب صارت اتفقنا عشرين قطعة جيب E لواحدة + +496 +00:36:52,320 --> 00:36:54,820 +ولا تانية ولا تالتة و جمع بتجيب شدة في المجال + +497 +00:36:54,820 --> 00:36:58,160 +الكلي ولا لأ طبعا مش هجمع لا مليون ولا اتنين مليون + +498 +00:36:58,160 --> 00:37:02,600 +في عندي قالية بسموها التكامل integration و + +499 +00:37:02,600 --> 00:37:05,920 +integration الassumption صح ولا لأ اذا المعنى + +500 +00:37:05,920 --> 00:37:10,650 +تبقولي كيف يسويبقول تـ evaluate the electric field + +501 +00:37:10,650 --> 00:37:13,590 +of such a configuration لهذا الشكل، أي إن كان + +502 +00:37:13,590 --> 00:37:17,190 +الشكل اللي عندك، the following of procedures are + +503 +00:37:17,190 --> 00:37:20,590 +used، إيش بقيت تسوي؟ اتبعوا الخطوات التالية، أول + +504 +00:37:20,590 --> 00:37:29,600 +خطوةبقول we divide الشكل + +505 +00:37:29,600 --> 00:37:34,780 +أو التوزيع into small elements لعناصر صغيرة such + +506 +00:37:34,780 --> 00:37:37,920 +that هذا العنصر لازم تكون مجاله بتاعها في جيبه + +507 +00:37:37,920 --> 00:37:42,200 +such that the electric field for each element can + +508 +00:37:42,200 --> 00:37:45,540 +be calculated easily طبعا الشغل ال default اعملوا + +509 +00:37:45,540 --> 00:37:48,960 +pointed chargesصح ولا لأ؟ ال point of charge بتعرف + +510 +00:37:48,960 --> 00:37:51,580 +تجيب المجال لل point of charge؟ اه فيه قانون ولا + +511 +00:37:51,580 --> 00:37:55,540 +ماديش قانون؟ إله قانون إذا أول خطوة بيقولك شكل + +512 +00:37:55,540 --> 00:38:00,480 +اللي عندك لمغلبك جسمه لعناصر صغيرة بحيث كل عنصر + +513 +00:38:00,480 --> 00:38:06,660 +مجاله تعرف تجيبه حلو أول حاجة عرفته اتنين بيقوللي + +514 +00:38:06,660 --> 00:38:12,640 +each element is assumed a charge dq بيقوللي دي في + +515 +00:38:12,640 --> 00:38:17,380 +ال calculus بتاعي increment جزءDX شباب في الـ + +516 +00:38:17,380 --> 00:38:22,360 +Calculus تعني جزء من الـ X صح ولا لأ كل حاجة تابعة + +517 +00:38:22,360 --> 00:38:30,340 +لعنصر تسبق بالحرف D increment شحنة العنصر DQ جديش + +518 +00:38:30,340 --> 00:38:36,200 +كتلة العنصر كلنا ناخدها كتلة العنصر DM جديش مجاري + +519 +00:38:36,200 --> 00:38:42,400 +العنصر DEإذاً كل شيء للعنصر يُصبَق بالـD لأن هذا + +520 +00:38:42,400 --> 00:38:48,880 +جزء من كل جزء فالـD هو increment حلو نقول لكل عنصر + +521 +00:38:48,880 --> 00:38:53,560 +من عناصر جديد شحنته DQ حلو الآن العنصر اللي انت + +522 +00:38:53,560 --> 00:38:57,910 +اختارته مجاله بتاعه في جيبه بعرف اجيبه جيبهبقول لي + +523 +00:38:57,910 --> 00:39:03,610 +next we calculate the electric field due to one of + +524 +00:39:03,610 --> 00:39:08,390 +these limits بس بدي واحد بديش اكتر بس واحد اختارلي + +525 +00:39:08,390 --> 00:39:11,370 +واحد و جيبلي مجاله و انت جولت الانصار و تقعد تجيب + +526 +00:39:11,370 --> 00:39:18,750 +مجاله جيبه جيبنا واحد حلو هذا المجال جيبته هذا جزء + +527 +00:39:18,750 --> 00:39:23,510 +من كل الان بدل ما تجيب كل العناصر و تجمعهم جلة + +528 +00:39:23,510 --> 00:39:31,150 +كاملكامل اتفقنا مجال العصر جديش؟ DE عشان تجيب E + +529 +00:39:31,150 --> 00:39:37,090 +لكلية ايش تسوي؟ ايش تكامل ال DE شباب؟ E مش E؟ اذا + +530 +00:39:37,090 --> 00:39:40,690 +ما زلت تجيب ال DE كملها بتجيب ايه اللي بدك اياها؟ + +531 +00:39:40,690 --> 00:39:47,820 +كامل؟ اذا بيقول ليه؟ثلاثة أو أربعة هذه finally we + +532 +00:39:47,820 --> 00:39:51,680 +integrate over the charge distribution to evaluate + +533 +00:39:51,680 --> 00:39:54,840 +the total electric field due to the wall charge + +534 +00:39:54,840 --> 00:39:58,720 +distribution كامل دي ايه بتطلع معاك ايه الكلية و + +535 +00:39:58,720 --> 00:40:02,360 +انت هادي اللي بتسعقله مافيش اي مشكلة عندك ايه + +536 +00:40:02,360 --> 00:40:08,200 +السفصار الشباب كبينه نعم تمه بيقولي بس انت بتقول + +537 +00:40:08,200 --> 00:40:15,310 +انت بتكامل التكامل بيجمع scalarsبيجمع الـ scalars + +538 +00:40:15,310 --> 00:40:19,210 +انت لما تكامل بيجمع لخمسة و تلاتة تمانية لكن لو + +539 +00:40:19,210 --> 00:40:22,430 +واحدة خمسة باتجاه ال I و تلاتة باتجاه ال J بيطلع + +540 +00:40:22,430 --> 00:40:25,330 +الكاش يها بيطلع لكيها تمانية لذلك لازم انت تقوله + +541 +00:40:25,330 --> 00:40:30,550 +كيف تكامل بقولي remark the integration should be + +542 +00:40:30,550 --> 00:40:34,890 +performed for each component of the electric field + +543 +00:40:34,890 --> 00:40:40,950 +لازم تكامل المركبات كلها على حدةWhy؟ لأن + +544 +00:40:40,950 --> 00:40:43,870 +المُركّبات الصينية لما تكون بس مُركّبات صينية كلها + +545 +00:40:43,870 --> 00:40:46,730 +بنفس الاتجاه ولا لأ؟ لما أقول لك تلاتة سين وخمسة + +546 +00:40:46,730 --> 00:40:49,490 +في اتجاه السين، بقدر أجمعهم تمانية ولا لأ؟ إذا + +547 +00:40:49,490 --> 00:40:52,430 +تكامل المُركّبة الصينية على أحدها والصادية على + +548 +00:40:52,430 --> 00:40:55,970 +أحدها. ليش؟ لأنه أنا بتعامل مع vectors، ذاكرين + +549 +00:40:55,970 --> 00:41:01,870 +زمان لما كنتوا تكاملوا الـHick في توجيهيومنوع + +550 +00:41:01,870 --> 00:41:05,870 +تكملوها او تشبعوها تجيبوا المسافة المساحة من أول + +551 +00:41:05,870 --> 00:41:08,610 +حاجة لآخر حاجة لما كنتوا تجيبوا المساحة من أول + +552 +00:41:08,610 --> 00:41:12,150 +لآخر اش تكاملوا تطلعوا الكم Zero صح ولا لأ؟ هذه + +553 +00:41:12,150 --> 00:41:18,980 +الرسمة ذاكرينها؟ لو كملتوا من هال لهالماذا حيطلعلك + +554 +00:41:18,980 --> 00:41:22,580 +التكامل؟ Zero. لكن هل المساحة هذه Zero؟ لأ. إيش + +555 +00:41:22,580 --> 00:41:25,700 +كنت تسويه؟ كنت تتجسم. مظبوط ولا لأ؟ لأنه برضه + +556 +00:41:25,700 --> 00:41:28,780 +المساحات، دير بالك المساحة ما هي vector فزاني + +557 +00:41:28,780 --> 00:41:31,200 +بتتعامل مع vector وانت لابدك تقوله التكامل، إيش + +558 +00:41:31,200 --> 00:41:34,600 +يجمعلك وهنا نفس القضية، مفعلش تقوله كامل وانت مش + +559 +00:41:34,600 --> 00:41:38,900 +عارف إيش اللي بتسويه، تحكي، وانت مش عارف؟ مش + +560 +00:41:38,900 --> 00:41:42,940 +مساحة، حاجة من الناس، بحكميدر المربع كنت بتعرفش طب + +561 +00:41:42,940 --> 00:41:47,030 +و .. هاهليش هو المساحة انت ماخدتش مساحة جاينها + +562 +00:41:47,030 --> 00:41:50,790 +vector ولا مش vector؟ طيب انت ماعرفتش انه المساحة + +563 +00:41:50,790 --> 00:41:56,010 +بساوي ايه across ال B؟ + +564 +00:41:56,010 --> 00:42:00,450 +هاي + +565 +00:42:00,450 --> 00:42:04,630 +المساحة كيف نجيب المساحة مش هي عبارة عن قاعدة + +566 +00:42:04,630 --> 00:42:11,070 +الارتفاع و الارتفاع هو ايه صلى الزاوية؟هذا + +567 +00:42:11,070 --> 00:42:15,370 +الارتفاع مش A Sine الزاوية اذا المساحة بيساوي B في + +568 +00:42:15,370 --> 00:42:20,610 +A Sine الزاوية وهذه بيساوي A في B في Sine الزاوية + +569 +00:42:20,610 --> 00:42:25,470 +واحنا أخدناها كمثال ك vectors من فيزي ألف ان ال + +570 +00:42:25,470 --> 00:42:29,650 +surface or the area is a vector quantity وكان فيها + +571 +00:42:29,650 --> 00:42:33,190 +سؤال في الشتر الأول تثبت ان ال area بيساوي A cross + +572 +00:42:33,190 --> 00:42:36,490 +ال B ولما أقول cross النتيجة بيكون vector ولا + +573 +00:42:36,490 --> 00:42:41,600 +scalarإذا ال area is a vector quantity واتجاهها + +574 +00:42:41,600 --> 00:42:47,000 +هنحكي عنها كتير لسه المساحة vector quantity تمى + +575 +00:42:47,000 --> 00:42:51,600 +طيب لما أنا جبت ال moment of inertia و لما جبت + +576 +00:42:51,600 --> 00:42:55,360 +برضه ال center of mass إجتني مرة تكامل شباب مر + +577 +00:42:55,360 --> 00:43:01,140 +عليك التالي تكامل DM + +578 +00:43:01,140 --> 00:43:02,700 +في X + +579 +00:43:05,540 --> 00:43:10,620 +بقدر اجيب علاقة + +580 +00:43:10,620 --> 00:43:17,720 +بين X و M ايامها لجأنا لإيش بعد؟ للكثافات الكثافة + +581 +00:43:17,720 --> 00:43:22,820 +كانت تجيبلي علاقة بين كتلة و أبعاد بين كتلة و حجب + +582 +00:43:22,820 --> 00:43:27,120 +بين كتلة و مساحة و بين كتلة و طول صح ولا لأ؟ هيمر + +583 +00:43:27,120 --> 00:43:34,180 +علينا نفس الشيء بدل DMDQ بدي أنا علاقة بين شحنة و + +584 +00:43:34,180 --> 00:43:38,980 +أبعادبين شحنة وأبعاد هذي بيسموها ال charge density + +585 +00:43:38,980 --> 00:43:44,720 +كثافة لكن كثافة مش كتلة كثافة شحنة تمام ال charge + +586 +00:43:44,720 --> 00:43:50,000 +density بيقولني + +587 +00:43:50,000 --> 00:43:53,360 +when dealing + +588 +00:43:53,360 --> 00:43:57,220 +with continuous charge distribution it is + +589 +00:43:57,220 --> 00:44:00,500 +convenient to use the concept of charge density + +590 +00:44:00,500 --> 00:44:06,200 +لازم يلزمك ال charge densityتم اكنوع الـ densities + +591 +00:44:06,200 --> 00:44:09,560 +للمجموعات اذا اخدناها تلاتة و هنا احنا ناخد تلاتة + +592 +00:44:09,560 --> 00:44:16,980 +ذاكرين رموزهم؟ Lambda و Sigma و Rho نفس الرموز + +593 +00:44:16,980 --> 00:44:20,980 +هنستخدمهم الاستبدال الوحيد بدل ال mass is charge + +594 +00:44:22,030 --> 00:44:25,790 +بدي ال mass ال charge هي دا كثافة masses هنا كثافة + +595 +00:44:25,790 --> 00:44:30,910 +شحنات مش أكتر بيقول if that charge is distributed + +596 +00:44:30,910 --> 00:44:35,790 +along a line إذا كانت ال charge موزعة على line على + +597 +00:44:35,790 --> 00:44:40,350 +طول شباب بس طول يعني لو جالك سلك رفيع مشحون مش سلك + +598 +00:44:40,350 --> 00:44:45,710 +رفيع إله مساحةولا له حجم إذا ليش له طول بكفيني إذا + +599 +00:44:45,710 --> 00:44:48,650 +بقول عن هذه كثافة طولية if the charge is + +600 +00:44:48,650 --> 00:44:53,250 +distributed along a line we define the linear + +601 +00:44:53,250 --> 00:44:58,330 +charge density lambda نفس رمزها lambda إيش تعريفها + +602 +00:44:58,330 --> 00:45:03,270 +شحنة على طول بقولي lambda بتسوي dq على dl + +603 +00:45:06,580 --> 00:45:13,140 +طيب with a charge distributed over a surface لقال + +604 +00:45:13,140 --> 00:45:17,520 +لي في عندك ورقة من ورقة أي ورقة و شحنتها اذا وين + +605 +00:45:17,520 --> 00:45:21,620 +بتكون مزعج شحنات على ساطح مافيش حاجة ماهو مكتبة + +606 +00:45:21,620 --> 00:45:25,580 +حرفية if the charge is distributed over a surface + +607 +00:45:25,580 --> 00:45:29,300 +we define the surface charge density sigma اذا نفس + +608 +00:45:29,300 --> 00:45:35,200 +الرمز ايش اتوقع تكونDQ على DA طبعاً DQ هي الشحنة و + +609 +00:45:35,200 --> 00:45:40,940 +DA هي مساحة الجزء اللي مغطيها الشحنة اطلعوا يا + +610 +00:45:40,940 --> 00:45:48,020 +شباب لو احجركم كم واحدة Lambda واحدة Lambda كم؟ + +611 +00:45:48,020 --> 00:45:56,370 +كلهم على طب و Sigma؟كلهم على متر تربية. اذا الوحدة + +612 +00:45:56,370 --> 00:46:01,410 +بتيجي من التعريف. لو واحد قاللي الكثافة الدنيا + +613 +00:46:01,410 --> 00:46:04,970 +كلهم على متر.بترفع أصبعي وأقولها دي مساحة ولا حجم + +614 +00:46:04,970 --> 00:46:08,370 +ولا طول ولا بكون عارف على طول وطول.إذا الوحدة + +615 +00:46:08,370 --> 00:46:12,710 +بتعطيني مفهوم الكمية الفيزيائية.حلو.إنظروا عن دي + +616 +00:46:12,710 --> 00:46:16,050 +الحجم. If the charge is distributed of within a + +617 +00:46:16,050 --> 00:46:20,630 +volume في حجم مانحن ندرس الـ volume charge density + +618 +00:46:20,630 --> 00:46:25,190 +ρو اللي هي الرمز اللي عارفينه كله عبارة عن dq على + +619 +00:46:25,190 --> 00:46:30,390 +dv طيب اضربوا درس التبادل ايش بيصيحي عينكم ديكيو + +620 +00:46:30,390 --> 00:46:36,450 +ايش بيساوي رو دي في مظبوط ولا لأ كامل طرفي + +621 +00:46:36,450 --> 00:46:39,770 +المعادلة ديكيو بيساوي رو دي في ايش تاكمل ديكيو + +622 +00:46:39,770 --> 00:46:44,750 +ديكيو اذا تشتغل الكلية يعني الطرف التاني كيف بيدا + +623 +00:46:44,750 --> 00:46:50,370 +كامله اطلع رو برادائما بطلع رو برا؟ لازم تكون + +624 +00:46:50,370 --> 00:46:54,790 +ثابتة؟ طب هى دائما ثابتة؟ طيب هل جتني جلال جلم + +625 +00:46:54,790 --> 00:47:00,670 +كمان مرة؟ فلتك من ال charge mass هل lambda او رو + +626 +00:47:00,670 --> 00:47:04,730 +او سيجما عليه ثابتة؟ اش يعنى؟ هل الكتل موزع + +627 +00:47:04,730 --> 00:47:09,290 +بانتظام عليه؟ انا في زي الف اذا اذكركم روحت على + +628 +00:47:09,290 --> 00:47:15,110 +البابو قلتلكم الشباك هذا الإجاز كثافة الخشب فيه + +629 +00:47:15,110 --> 00:47:18,770 +بيساوي كثابة الخشب في المنطقة التحتانية إذا هل + +630 +00:47:18,770 --> 00:47:23,590 +الكثافة واحدة؟ لأ إذا الكثافة مابتكون دايما واحدة + +631 +00:47:23,590 --> 00:47:25,950 +و ما زال ماكانتش واحدة لذا مش دايما ثابتة و اكتر + +632 +00:47:25,950 --> 00:47:31,510 +مابتكون ثابتةشايفين الورجة؟ الورجة أه لأن الورجة + +633 +00:47:31,510 --> 00:47:37,550 +منتظمة صح ولا لأ بقول مادة الولق موزعة بانتظام على + +634 +00:47:37,550 --> 00:47:44,810 +المساحة لكن أديت مثال أخر قولت المصطلة فيها خميلة + +635 +00:47:44,810 --> 00:47:49,310 +وفيها مدخل رفيعة صح ولا لأ اذا برضه روم ثابت عليها + +636 +00:47:49,310 --> 00:47:54,050 +طب وقتش أعرف بقول هو هيقولك بقولك انه لتشارج + +637 +00:47:54,050 --> 00:47:59,800 +uniform distributed or notوورد DQ هذا لمش مشكلة، + +638 +00:47:59,800 --> 00:48:04,940 +الوحدات أخدناها، if the charge is uniformly + +639 +00:48:04,940 --> 00:48:08,900 +distributed، إذا كانت ال charge موزعة بانتظام، هو + +640 +00:48:08,900 --> 00:48:13,950 +يقولك بانتظام ولا لا؟a long line over a surface or + +641 +00:48:13,950 --> 00:48:16,930 +within a volume وإذا قالك هذا كلمة ساعتها the + +642 +00:48:16,930 --> 00:48:19,870 +charge densities are constant في هذه الحالة بتكون + +643 +00:48:19,870 --> 00:48:23,110 +Lambda و Sigma ورود ثوابت لما يقولك uniformly + +644 +00:48:23,110 --> 00:48:26,970 +distributed مزعج بانتظارك زحكت الورقة تمام أما + +645 +00:48:26,970 --> 00:48:31,050 +الباب مش بالانتظار كان وضع في مكان مش فيه خشبفي + +646 +00:48:31,050 --> 00:48:36,070 +هذه الحالة بطلع lambda او rho او sigma constants + +647 +00:48:36,070 --> 00:48:40,910 +ايش بيصير تكامل ال DL ال وتكامل ال DAA وتكامل ال + +648 +00:48:40,910 --> 00:48:47,170 +DV V فبصير عندك Q بيثوي رو في V اذا هذا بيصير in + +649 +00:48:47,170 --> 00:48:51,070 +this case the total charge capital Qالـ total + +650 +00:48:51,070 --> 00:48:54,350 +charge بيدوها دايما رمز كبير capital Q احنا اتفقنا + +651 +00:48:54,350 --> 00:48:58,350 +انه رمز الشحنة small Q او capital Q و انا هو Q لكن + +652 +00:48:58,350 --> 00:49:00,850 +ال total Q دايما بيدوكوا الشغل الكبيرة بيعطوها + +653 +00:49:00,850 --> 00:49:03,910 +capital QThe total charge of capital Q can be + +654 +00:49:03,910 --> 00:49:07,830 +obtained by integrating both sides of the above + +655 +00:49:07,830 --> 00:49:11,390 +equations وحصل عندي كالتالي الـ Q الأولانية بيصوي + +656 +00:49:11,390 --> 00:49:15,510 +Lambda في L الـ Q التانية بيصيه Sigma في A وQ + +657 +00:49:15,510 --> 00:49:19,330 +التالتة بيصوي ρو في V طبعا في سؤال بيقولك هو + +658 +00:49:19,330 --> 00:49:23,210 +هتكامل ال DQ لصغيرة منفع أحطه capital Q كبيرة؟ + +659 +00:49:23,210 --> 00:49:28,030 +المفروض يكون الـQ صغيرة إيش تكامل ال DX؟بنفع أقول + +660 +00:49:28,030 --> 00:49:31,590 +why؟ لأ طب التكامل يديه Q صغيرة، المفروض يكون Q + +661 +00:49:31,590 --> 00:49:36,570 +صغيرة، لكن لو أنا بعرف أنه التكامل هو جميع، إذا + +662 +00:49:36,570 --> 00:49:39,210 +التكامل يديه Q، بدي تديني Q الكلية و لا مش Q + +663 +00:49:39,210 --> 00:49:43,070 +الكلية؟ طب و Q الكلية إيش رمز همديني؟ Capital Q، + +664 +00:49:43,070 --> 00:49:46,890 +مافيش مشكلة، أنا معرف Capital Q هي Total Q، إذا + +665 +00:49:46,890 --> 00:49:51,270 +التكامل يديه Q، هي مش Q، هي Total Q أصلا، و Total + +666 +00:49:51,270 --> 00:49:58,170 +Q أنا بدينيها Capital Q، تمامطبعا ال و ايه + +667 +00:49:58,170 --> 00:50:04,110 +المعروفين نبدأ نحل امثلة كيف نطبق بيقول لي a rod + +668 +00:50:04,110 --> 00:50:09,970 +of length L lying along the x-axis is uniformly + +669 +00:50:09,970 --> 00:50:14,110 +charged with a total charge capital Q بيقول لي + +670 +00:50:14,110 --> 00:50:21,450 +عندك رد سلك طوله L كله مشحون تمام هذه السلك وجع + +671 +00:50:21,450 --> 00:50:25,520 +على ال x-axis عشان ترسموا صح وانا هديكم الرسمةكل + +672 +00:50:25,520 --> 00:50:29,180 +الشحنات اللي عليها كبيتال Q Calculate the electric + +673 +00:50:29,180 --> 00:50:32,300 +field دي إيش مطلوب شدة المجال الكهربائي عند نقطة P + +674 +00:50:32,300 --> 00:50:35,140 +و النقطة P along the axis of the rod اللي عندنا + +675 +00:50:35,140 --> 00:50:38,440 +على نص المرسمة و بتبعد مسافة دي from one end as + +676 +00:50:38,440 --> 00:50:44,340 +shown in the figure هاي الصين والصد ال rod lying + +677 +00:50:44,340 --> 00:50:48,530 +along the x axisهذا هو خططه أزرق هو positive بس + +678 +00:50:48,530 --> 00:50:51,430 +خططه أزرق عشان الألوان اذا حتشوف بدي اخد كمان أحمر + +679 +00:50:51,430 --> 00:50:55,190 +مينفعش احمر و أحمر فحطته أزرق هيك يعني هاي الرد + +680 +00:50:55,190 --> 00:51:03,090 +جديس طوله شباب هذا معطف تمام مشحون بده شدة المجال + +681 +00:51:03,090 --> 00:51:08,560 +عند النقطة هذه الشباب بده شدة المجال هناعند النقطة + +682 +00:51:08,560 --> 00:51:11,320 +P اللي بتبعد مسافة دي عن أحد أطرابه زي ما انت + +683 +00:51:11,320 --> 00:51:14,120 +شايفينه في الرسمة تمام؟ إذا اللي واضح عندي إيش + +684 +00:51:14,120 --> 00:51:17,160 +المطلوب أنا عندي؟ بدي شدّت المجال الكهربائي عند + +685 +00:51:17,160 --> 00:51:20,660 +النقطة ال origin اللي لا جاء من point of charge + +686 +00:51:20,660 --> 00:51:23,320 +ولا من continuous charge distribution من + +687 +00:51:23,320 --> 00:51:27,340 +continuous charge distribution اللي هو ال rodبقدر + +688 +00:51:27,340 --> 00:51:31,400 +أطبخ القانون و أقول KQ على R تربيع؟ لو حطت KQ على + +689 +00:51:31,400 --> 00:51:35,400 +R تربيعي، إيش بدي أحط R؟ أحطها D؟ ولا D زائد L؟ + +690 +00:51:35,400 --> 00:51:38,780 +ولا D زائد نص L؟ بقدرش أعملها، مينفعش، هذا القانون + +691 +00:51:38,780 --> 00:51:42,320 +لا ينطبق على الـROD، بالتالي إيش أسوي؟ اتعلمي التو + +692 +00:51:42,320 --> 00:51:44,580 +إيش أسوي، مظبوط أو لا؟ بدي أجسم + +693 +00:51:47,640 --> 00:51:53,040 +we divide the rod into small elements each of + +694 +00:51:53,040 --> 00:52:02,980 +length dx طولها x وطولها d طولها dx او dl and it's + +695 +00:52:02,980 --> 00:52:06,640 +charge is dq يلّا ناخد هنا عنصر احنا لو جيبنا مجص + +696 +00:52:06,640 --> 00:52:10,920 +و جصينا هنجيبنا عنصر من هذه العناصرهذا هو .. هي + +697 +00:52:10,920 --> 00:52:13,480 +الجطع من هذا الجطع صح ولا لا؟ عشان كده انا حاطيته + +698 +00:52:13,480 --> 00:52:16,600 +هنا أحمر يقفل هو الأزرج عشان الأحمر يبين تمام؟ + +699 +00:52:16,600 --> 00:52:21,350 +يعني هذا الأزرج مكوّن من أكم واحدة حمراءأدت حمرات + +700 +00:52:21,350 --> 00:52:26,010 +صح ولا لأ؟ أدت عناصر أنا اختارت أنصر واحد، هاي + +701 +00:52:26,010 --> 00:52:29,350 +عنصر هذا الانصر ممكن تعتبره point of charge ولا + +702 +00:52:29,350 --> 00:52:33,950 +لأ؟ اه صغير، تقدر تجيب شدة مجال ال point of + +703 +00:52:33,950 --> 00:52:38,690 +charge؟ اه عندي قانون، اذا اول خطوة بجسم لعناصر و + +704 +00:52:38,690 --> 00:52:41,690 +باختار عنصر واحد، العنصر اللي واحد بدي اختاره + +705 +00:52:41,690 --> 00:52:44,730 +الشباب ان نفسه هيكون عشوائي، يعني مينفع احط العنصر + +706 +00:52:44,730 --> 00:52:49,510 +في بداية الردبينفعش .. هتخربط ساعتها في المسافات و + +707 +00:52:49,510 --> 00:52:52,950 +لا بنفع تاخد العنصر في أخر الرد ولا في النص خده في + +708 +00:52:52,950 --> 00:52:59,990 +مكان عشوائي أخدته حلو بعد كده بقول أوجد شدة المجال + +709 +00:52:59,990 --> 00:53:05,830 +لهذا العنصر سهل طبعا + +710 +00:53:05,830 --> 00:53:11,510 +المسافات شباب أنا البعد مش عارفه X حطيته عشان أجيب + +711 +00:53:11,510 --> 00:53:18,190 +شدة المجال عنده النقطة Pللنقطة الحمرة الخانون + +712 +00:53:18,190 --> 00:53:23,570 +بيقول كيك U على R تربيعبعد المسافة ما بين ال .. ال + +713 +00:53:23,570 --> 00:53:26,690 +.. ال charge و ال point ال charge مبينة ان هي + +714 +00:53:26,690 --> 00:53:29,490 +الحمرة و ال point بعرفها بدي المسافة بينها و بينها + +715 +00:53:29,490 --> 00:53:34,550 +بعرفها بعرفها .. فرضها X متغيرة ما هي من عنصر + +716 +00:53:34,550 --> 00:53:38,410 +لعنصر بتتغير ولا لأ حاططها X هجيت أناش في الأخر + +717 +00:53:38,410 --> 00:53:42,330 +بجيهه بقول أوجد اتجاه المجال صح؟ مش أول خطوة + +718 +00:53:42,330 --> 00:53:45,970 +بعملها اتجاه المجال هجيت انت جلمك رصاصة عند النقطة + +719 +00:53:45,970 --> 00:53:48,690 +و الشحنة موجة ببيدك تروح على الشحنة ولا تبعد عنها؟ + +720 +00:53:49,160 --> 00:53:53,120 +إذا هاي اتجاه المجال بعد ما جيب اتجاه المجال جالك + +721 +00:53:53,120 --> 00:53:58,080 +او جد مقداره او جد مقداره القانون K absolute value + +722 +00:53:58,080 --> 00:54:03,420 +of Q على قعر تربيع هجيب ال Q ايش بتحط محلها؟ ايش + +723 +00:54:03,420 --> 00:54:09,040 +شحنة ال .. DQ مش هى انت جاعد بتجيب فقط لعنصر إلك + +724 +00:54:09,040 --> 00:54:12,620 +دعوة في باجر رد؟ انت إلك دعوة باسم العنصر عنصر ايه + +725 +00:54:12,620 --> 00:54:19,100 +شحنته؟ DQ بدل ما تعود خمسة او سبعة قبل DQ تمامبقول + +726 +00:54:19,100 --> 00:54:24,740 +so the electric field اللي مقداره dE ليش دته dE + +727 +00:54:24,740 --> 00:54:31,820 +شباب؟ لأنه بس لعنصر بس لعنصر dE due to one of + +728 +00:54:31,820 --> 00:54:35,500 +these element إذا هذي dE لواحد بس لعنصر مش لكل + +729 +00:54:35,500 --> 00:54:39,480 +الروف ديرماها الكوب a distance x والمسافة انا + +730 +00:54:39,480 --> 00:54:45,530 +اعتبرتها x from the point is هى قانوني كبديل Q + +731 +00:54:45,530 --> 00:54:51,650 +وحطيت DQ على X تربيع فى مشكلة؟ اذا هذه المجلة مين؟ + +732 +00:54:52,070 --> 00:54:55,590 +لعنصر واحد فبالخطوة التالية ايش بقولك بقولك كامل + +733 +00:54:55,590 --> 00:54:58,870 +بس قبل ما تكامل انت باهي ال directions صح ولا لأ + +734 +00:54:58,870 --> 00:55:02,830 +اذا في عندك تحليل تحليل سيني لحال وصادي لحال مظبوط + +735 +00:55:02,830 --> 00:55:06,410 +كيف بدي اعرف بقولك طب انا كل العراس اللي لهم نفس + +736 +00:55:06,410 --> 00:55:09,310 +الاتجاه هو اللي فيه واحد سيني واحد صادي خلينا نجرب + +737 +00:55:09,310 --> 00:55:13,030 +احنا وياكم انا اخترت عنصر لو ايجي واحد غيري بدي + +738 +00:55:13,030 --> 00:55:16,470 +اختاره مش هيختار نفس عنصره صح ولا لأ هيختار عنصر + +739 +00:55:16,470 --> 00:55:21,270 +لأ ابعد اقرب لو انت بتديكم نص دقيقةوكل واحد يتخيله + +740 +00:55:21,270 --> 00:55:26,930 +عنصر مختلف ويجيب لي مجال اتجاهي كيف هيطلع الاتجاه؟ + +741 +00:55:26,930 --> 00:55:33,530 +في واحد ايجي ع باله عنصر اتجاه السهم هيكون معكوس + +742 +00:55:33,530 --> 00:55:42,010 +او طالع صاضي في مجال اذا احكي لا + +743 +00:55:42,010 --> 00:55:48,030 +هو line بس هو دخلله عشان يبين مالوش ثمكبالظبط هو + +744 +00:55:48,030 --> 00:55:54,550 +line اتبره line في أي عنصر هيكون مش باتجاه + +745 +00:55:54,550 --> 00:55:58,990 +negative x axis فش .. اذا انا في الآخر انا بجمع كل + +746 +00:55:58,990 --> 00:56:02,090 +هالمجالات مش انا في الآخر بجمع كل هالمجالات كل + +747 +00:56:02,090 --> 00:56:06,800 +المجالات بنفس الاتجاه في مشكلة كامللأ طب خلينا + +748 +00:56:06,800 --> 00:56:10,340 +نجرب عشان بس انا ديتكم نص دقيقة ومفروض اتخيلتوها + +749 +00:56:10,340 --> 00:56:14,400 +خلينا نقول note that each element انا اخترت + +750 +00:56:14,400 --> 00:56:18,320 +element لكن كل عنصر produces a field in the + +751 +00:56:18,320 --> 00:56:22,760 +negative x axis كل العناصر بتدي نفس الاتجاه and so + +752 +00:56:22,760 --> 00:56:25,540 +we can integrate simply خلينا نجرب العناصر لو انا + +753 +00:56:25,540 --> 00:56:28,100 +اخترت العناصر هذا تلعب على الرسم بالظبط لو اخترت + +754 +00:56:28,100 --> 00:56:34,120 +انا العنصر هاي العنصر + +755 +00:56:34,120 --> 00:56:37,830 +كيف اتجاهه؟نفس الشيء ولا لا؟ اي عنصر؟ طب كمان + +756 +00:56:37,830 --> 00:56:40,990 +عنصر؟ + +757 +00:56:40,990 --> 00:56:45,210 +برضه نفس العملية؟ انا اختارت 3 عنصر طبعا انتوا لو + +758 +00:56:45,210 --> 00:56:48,570 +اختارتم 100 عنصر بس دوركم عناس الصح مش واحد يقولي + +759 +00:56:48,570 --> 00:56:53,910 +بدي اجيب عنصر هنا اجيبه هنا من فحين في عنصر هو؟هذا + +760 +00:56:53,910 --> 00:56:57,490 +ليس رد .. انا شو المشهور عند الرد؟ منع العناص اللي + +761 +00:56:57,490 --> 00:57:00,470 +بيكون منها لها؟ مافيش عناص اللي بيقول هنا صارت هيك + +762 +00:57:00,470 --> 00:57:04,210 +و تعالي نحلل؟ لا العناص اللي بيكون جاي من وين؟ من + +763 +00:57:04,210 --> 00:57:08,990 +ال رد تمام أي أنصر صح هديك مجال باتجاه ال negative + +764 +00:57:08,990 --> 00:57:12,610 +x axis إذا أنت قاعد بتجيب شغلات scalars و كأنها + +765 +00:57:12,610 --> 00:57:16,930 +كلها خمسة و تلاتة و أربعة و اتنين كلهم نقص I نقص I + +766 +00:57:16,930 --> 00:57:20,030 +نقص I اشبههم عادي كامل مافيش مشكلة إذا نستطيع + +767 +00:57:20,030 --> 00:57:21,750 +نحفزه كامل + +768 +00:57:25,820 --> 00:57:31,320 +طلعت K ساكروهم هالجوالات طلعت K برا عارفين ليش + +769 +00:57:31,320 --> 00:57:35,220 +بتطلع كده دي Q على X تربيع واحد يقول يا وردي مش + +770 +00:57:35,220 --> 00:57:40,680 +هالو أخدناه في توجيهي نقص واحد على X بنفع لأ لإن + +771 +00:57:40,680 --> 00:57:46,900 +دي Q هي تحت X إذا إيش بدي أسوي؟ بدي علاقة بين Q و + +772 +00:57:46,900 --> 00:57:50,940 +X عشان كده ادي لكم ال charge instancesلـ charge + +773 +00:57:50,940 --> 00:57:57,420 +densities هي اللي بتربط لتشحنات مع الأبعاد الأبعاد + +774 +00:57:57,420 --> 00:58:01,640 +لا طول لا مساحة لا حجم ماتفرجش معايا expressing dq + +775 +00:58:01,640 --> 00:58:06,600 +in terms of the charge density لامده فجالي لامده + +776 +00:58:06,600 --> 00:58:12,060 +بتسوي dq على dl ذاكرينها؟ dl هي dx الآن فصلت لامده + +777 +00:58:12,060 --> 00:58:17,370 +بتسوي dq على dxأذا DQ بالثاني Lambda DL اللي هي + +778 +00:58:17,370 --> 00:58:23,570 +Lambda DX تمام؟ حلت المشكلة بدل DQ صار DX ولا لأ؟ + +779 +00:58:23,570 --> 00:58:27,810 +صار DX وفي المقام X تربيع وصارت العملية كالتالية + +780 +00:58:27,810 --> 00:58:32,490 +طلعت أنا Lambda برة ليش Lambda برة؟ لأنه في المثال + +781 +00:58:32,490 --> 00:58:36,210 +Gallery uniformly distributed تذكرين في المثال؟ في + +782 +00:58:36,210 --> 00:58:42,050 +موضعيات السؤال شباب أرجع للمثال نفسه أنا ماوقفتش + +783 +00:58:42,050 --> 00:58:48,910 +عليهاطلعوا فوق a rod of length L lying along the x + +784 +00:58:48,910 --> 00:58:53,750 +-axis is uniformly charged إذا الشحنات الموزعة + +785 +00:58:53,750 --> 00:58:57,030 +بانتظام عشان يقولي إذا بتستخدم لامدة لامدة ثابتة + +786 +00:58:57,030 --> 00:59:00,170 +إذا بتستخدم سيجما سيجما ثابتة إذا بتستخدم رو رو + +787 +00:59:00,170 --> 00:59:03,930 +ثابتة إذا كلمة uniformly distributed بيكون منصوص + +788 +00:59:03,930 --> 00:59:07,090 +عليها نص واضح في المثال وفي السؤال تمام + +789 +00:59:17,680 --> 00:59:22,400 +نجي لحدود التكامل شباب في الآخر مش المتغير اللي + +790 +00:59:22,400 --> 00:59:28,100 +عندي شباب عايش بكامل أنا على X مش هي X هذه مش X هي + +791 +00:59:28,100 --> 00:59:34,920 +المسافة بين العنصر والنقطة بكامل يعني بأجمع + +792 +00:59:34,920 --> 00:59:42,180 +المجالات الكهربائية من جميع الأعناصر ال رد له عنصر + +793 +00:59:42,180 --> 00:59:46,920 +ولا عدد عناصرطب العناصر محصورة من مكان لمكان ولا + +794 +00:59:46,920 --> 00:59:55,320 +لأ؟ أول عنصر جديش X تبعتها D صح ولا لأ؟ و آخر عنصر + +795 +00:59:55,320 --> 01:00:00,240 +جديش X تبعتها D زاد L إذا من هنا بحدد حدود التكامل + +796 +01:00:00,240 --> 01:00:05,020 +بعد كده إذا خربطت في التكامل بسامحك بس حطلي حدود + +797 +01:00:05,020 --> 01:00:08,140 +التكامل صح ماعرفتش الكامل أنا مسامحك تقريبا ال + +798 +01:00:08,140 --> 01:00:12,330 +calculus هم اللي بيحسبوكأنا مش معنى انك كيف تتكامل + +799 +01:00:12,330 --> 01:00:15,630 +اظن ان ال calculus ده كمان شوية بتشوفه 100 ألف نوع + +800 +01:00:15,630 --> 01:00:18,270 +في التكاملات كيف تعرفوا انها تتكاملات فشغلوا + +801 +01:00:18,270 --> 01:00:24,110 +يتعاملوا ال calculus بيطلعوا زمتكم منها هم بتكفروا + +802 +01:00:24,110 --> 01:00:27,190 +و بيكفوا و بيزيدوا تمام انا التكامل مش معنى دي + +803 +01:00:27,190 --> 01:00:30,450 +كتير وان كانت التكاملات سهلة تمام دي x على x + +804 +01:00:30,450 --> 01:00:35,130 +تربيعيش تكاملها شباب سالب واحد على x هذه سهلة تمام + +805 +01:00:35,130 --> 01:00:36,170 +طلعتها + +806 +01:00:39,620 --> 01:00:43,920 +سالب واحد عليكسه عوض مش بنعوض فى الفوق بعدين سالب + +807 +01:00:43,920 --> 01:00:50,000 +اللى تحت عوضنا صار واحد على L زي ال D ناقص واحد + +808 +01:00:50,000 --> 01:00:55,780 +على D جمع كسور اعتيادية بقدر اطلحها طلعت هيك معايا + +809 +01:00:57,000 --> 01:01:01,980 +D و L زي ال D و Lambda في L هذه شباب طبعا لما أتي + +810 +01:01:01,980 --> 01:01:05,460 +أطلحها هذه L زي ال D وهذه D وبالتالي لما أتي + +811 +01:01:05,460 --> 01:01:08,260 +أجمعهم L زي ال D نقص D بتروح ال D مع ال D بتصير + +812 +01:01:08,260 --> 01:01:12,860 +عندك L هذه Lambda في L طب Lambda في L Lambda في + +813 +01:01:12,860 --> 01:01:17,160 +طول و طول كله بتديني الشحنة الكلية ولا لأ اذا انا + +814 +01:01:17,160 --> 01:01:18,820 +بتوقع انه + +815 +01:01:21,210 --> 01:01:28,390 +لمدة L بتساوي Q طب عن طريق الجواب خلاص هي جواب KQ + +816 +01:01:28,390 --> 01:01:31,890 +على D زاد L شايفين النقطة هذيك اللي احنا بدنا نجيب + +817 +01:01:31,890 --> 01:01:38,910 +عندها اللي بتبعد مسافة D لو هذه النقطة توصلناها + +818 +01:01:38,910 --> 01:01:44,230 +لعند المجلس التشريعي النقطة كيف يصير الرد + +819 +01:01:44,230 --> 01:01:46,750 +بالنسبالكم؟ لو انت عند المجلس التشريعي و بدك تشوف + +820 +01:01:46,750 --> 01:01:51,380 +هذه الرد كيف تشوفه؟المفروض تشوفه نقطة صح ولا لأ؟ + +821 +01:01:51,380 --> 01:01:53,840 +طب إذا أنا بدى شوفه نقطة المفروض قانون النقطة + +822 +01:01:53,840 --> 01:01:58,960 +ينطبق عليه هيك المنطقة إذا صار نقطة طب النقطة اللي + +823 +01:01:58,960 --> 01:02:02,080 +لها قانون اللي لها ليش قانون؟ طب خليني أجرب بصرف + +824 +01:02:02,080 --> 01:02:07,460 +معانا ولا لأ؟ لما أنا أبعد عن الرد بصير نقطة في + +825 +01:02:07,460 --> 01:02:11,990 +هذه الحالة دي إيش بيصير مقارنتنا بإلم؟أكبر كتير، + +826 +01:02:11,990 --> 01:02:16,390 +مظبوط ولا لأ؟ لما أنا أبعد عن الرد، يعني دي صارت + +827 +01:02:16,390 --> 01:02:23,700 +كبيرة و الرد صغيرطيب اتطلعوا يا شباب هنا لو كانت D + +828 +01:02:23,700 --> 01:02:27,720 +كبيرة ايش صارت في ال L؟ L صارت دينار و D مليون + +829 +01:02:27,720 --> 01:02:33,440 +دينار روحت ال L ايش بصي في تحت D و جنبها Gmand D؟ + +830 +01:02:33,440 --> 01:02:38,920 +ايش صارت؟ D تربية صار القانون KQ على D تربية يعني + +831 +01:02:38,920 --> 01:02:44,550 +على أر تربية هذا قانون النقطة فهو صحاذا صح زي ما + +832 +01:02:44,550 --> 01:02:48,730 +الواقع بيقول لما تبقى بصير نقطة لازم لما اطبق هذا + +833 +01:02:48,730 --> 01:02:54,870 +المبدأ قانون النقطة يرجع وهيرجع صحيح و لا لأ مافيش + +834 +01:02:54,870 --> 01:02:57,830 +اي مشكلة ابني اعملها انا عاملها و لا مش عاملها شوف + +835 +01:02:57,830 --> 01:03:04,570 +اه مش هذا انا عاملها علشان ما .. now + +836 +01:03:07,290 --> 01:03:13,170 +FB is far away راحت عن مجلس الشريعي هناك from the + +837 +01:03:13,170 --> 01:03:17,090 +road يعني دي اكتر كتير من الهي معناه تبعيدة then + +838 +01:03:17,090 --> 01:03:21,130 +we have ايه زي ال D صارت دي صح ولا المليون والدنار + +839 +01:03:21,130 --> 01:03:24,530 +راح الدنار وظال المليون اللي هي ال D صار القانون + +840 +01:03:24,530 --> 01:03:30,550 +KQ على D تربيعthat is we recover بنعيد the result + +841 +01:03:30,550 --> 01:03:34,290 +of the pointed charge زي ما المفروض أتوقع اذا we + +842 +01:03:34,290 --> 01:03:38,430 +recover the point the result of the pointed charge + +843 +01:03:38,430 --> 01:03:41,670 +as expected وهذا اللازم يكون وإلا يكون جوابي غلط + +844 +01:03:41,670 --> 01:03:47,250 +أو في عدم منطقية في الكلام تمام شباب احكي ليش قولي + +845 +01:03:47,250 --> 01:03:54,150 +انا عايش ليش قولي ايه تمام شباب ما زال في charge + +846 +01:03:54,150 --> 01:04:00,040 +distributionبدي أجسم لعناصر أهم حاجة العنصر إذا + +847 +01:04:00,040 --> 01:04:02,580 +عرفت تجيبه point of charge يعطيك العافية point of + +848 +01:04:02,580 --> 01:04:05,720 +charge له قانون بتكاشي إياه point of charge بدي + +849 +01:04:05,720 --> 01:04:09,180 +يكون العنصر بتاعه في مجاله هذا الاصل بعد كده جيب + +850 +01:04:09,180 --> 01:04:14,100 +مجال لأحد العناصر بعد كده كامل وانت بتتعامل مع + +851 +01:04:14,100 --> 01:04:17,960 +vectors مش مع scalars تمام واضح؟ لما كنا نتعامل مع + +852 +01:04:17,960 --> 01:04:19,660 +ال moment of inertia فيزيائي في ال moment of + +853 +01:04:19,660 --> 01:04:23,440 +inertia كانت scalar وماكناش نواجه هالمشكلة تمام + +854 +01:04:33,230 --> 01:04:39,810 +أحكي ممكن تتعامل معه عبارة عن قطعتين طبعا في + +855 +01:04:39,810 --> 01:04:43,210 +الأمثلة كتير هناخدها طبعا شباب هذا الموضوع إذا + +856 +01:04:43,210 --> 01:04:46,410 +الشكل شوية عفش ماجداش يتعامل معه لأن مش سهلة + +857 +01:04:46,410 --> 01:04:50,550 +وبالتالي الأمثلة هتكون أمثلة معروفة و common لأنه + +858 +01:04:50,550 --> 01:04:55,780 +إذا المثال اختلفالإجابة بتتغير جذريًا، طلعوا أنت + +859 +01:04:55,780 --> 01:04:59,320 +النقطة اللي أنا حطيتها، لو النقطة اختلفت، الإجابة + +860 +01:04:59,320 --> 01:05:03,690 +بتصعب.بتصعد بيصير في عندي directions مختلف + +861 +01:05:03,690 --> 01:05:07,090 +وبالتالي هانواني في بعض الشغلات مطلوبة وفي بعض + +862 +01:05:07,090 --> 01:05:09,870 +الشغلات مش مطلوبة يعني في شغلات سهلة تتعامل معها + +863 +01:05:09,870 --> 01:05:13,110 +وفي أسئلة في الكتاب على هذا الموضوع أما أنا بهمني + +864 +01:05:13,110 --> 01:05:17,970 +أني أجسم العناصر والعنصر جاي من الكل جزء من الأقول + +865 +01:05:17,970 --> 01:05:22,310 +واحنا زمان كنا نحكي في فيزيا ألف أنه مستحيل يكون + +866 +01:05:22,310 --> 01:05:26,210 +عندك كوم بطيخ أو كوم بردجان تحط إيدك تطلع تفاحة + +867 +01:05:26,510 --> 01:05:30,590 +مفكر كوم برودجان صح ولا لأ؟ لأنه لازم يكون العنصر + +868 +01:05:30,590 --> 01:05:37,210 +من جنس الكل انت عندك رد بدي يكون العنصر في الرد مش + +869 +01:05:37,210 --> 01:05:40,650 +يجيبليها في مكان تاني ولا تقتنعليها لأ من الكوم + +870 +01:05:40,650 --> 01:05:43,570 +يجيبليها من الكوم نفسه وبالتالي العراصر بتكون + +871 +01:05:43,570 --> 01:05:47,910 +معروفة مين بديه يسأل اي سؤال تمام؟ طبعا احنا لسه + +872 +01:05:47,910 --> 01:05:50,230 +ان شاء الله يوم التلاتة زي ما احنا مخططين نخلص ال + +873 +01:05:50,230 --> 01:05:53,770 +chapter عشان نعمل test بسيط في اخر محاضرة على ال + +874 +01:05:53,770 --> 01:05:58,540 +quizإن شاء الله أه المفروض أنه يوم التلاتة أخلص ال + +875 +01:05:58,540 --> 01:06:02,380 +chapter وبالتالي بيفتح ال quiz المفروض بدي أفتح + +876 +01:06:02,380 --> 01:06:05,080 +يوم الأربعة في الليل مخطط إذا خلصت يوم التلاتة + +877 +01:06:05,080 --> 01:06:07,780 +وهذا المفروض أن أخلص ساعتها بيفتح يوم الأربعة في + +878 +01:06:07,780 --> 01:06:11,500 +الليل عشان يكون يوم الأربعة أنت عندك محاضرات تاخد + +879 +01:06:11,500 --> 01:06:15,960 +free ويوم الأربعة في الليل الساعة اتناشربسكر عادي + +880 +01:06:15,960 --> 01:06:18,960 +بيشوف انا وياك وقت ايش بيسكر يا السبت بس خليه يسكر + +881 +01:06:18,960 --> 01:06:23,000 +السبت مشي الصبح اخر نهار عشان تكون خميس طول النهار + +882 +01:06:23,000 --> 01:06:26,120 +انت في دارك و جبعة في دارك و اللي مشي في دارك يوم + +883 +01:06:26,120 --> 01:06:28,700 +السبت تيجي على الجامعة اذا صار عنده مشكلة كان هبقى + +884 +01:06:28,700 --> 01:06:32,640 +جاطعة ان اتخرب زي امبارح و اول امبارح لأ امبارح و + +885 +01:06:32,640 --> 01:06:37,380 +اول امبارح اه انه تيجي دايما انا بخلي يوم عمل يكون + +886 +01:06:37,380 --> 01:06:42,460 +جوا الجامعة عشان لو صار طارق اول تجي لتشوفنيو + +887 +01:06:42,460 --> 01:06:46,580 +بعدين يكون متاح عندك computers جوا الجامعة لأنه مش + +888 +01:06:46,580 --> 01:06:48,500 +مضفارة كل واحد يكون عنده net في داره + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..27b30e7f4f77ae6cf0f7488da27696cee91b2e06 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2388, "start": 16.06, "end": 23.88, "text": "العشر اللي بيحكي عن ال L-C circuits طبعا احنا في نهاية لو جيت سألت انا في نهاية", "tokens": [6027, 3615, 46309, 13672, 1829, 4724, 1829, 5016, 4117, 1829, 18871, 2423, 441, 12, 34, 26354, 23032, 3555, 3615, 995, 1975, 5016, 8315, 8978, 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بنكر، بتزيد لمصير Maximum، وهكذا، برضه الطيار", "tokens": [5172, 11242, 1863, 9122, 3555, 3794, 9566, 2288, 12602, 39319, 41950, 1829, 9640, 12399, 1975, 15730, 41950, 1829, 9640, 13412, 45865, 3224, 13412, 45865, 3224, 6225, 42213, 3224, 4724, 11622, 25708, 12399, 4724, 47341, 3615, 41950, 1829, 9640, 5296, 28814, 1863, 8608, 995, 34268, 11296, 47525, 3224, 7251, 44510, 10721, 9673, 4117, 5172, 5172, 7251, 1863, 8592, 5016, 1863, 12399, 39182, 19446, 6156, 11242, 1863, 47525, 3224, 7251, 1863, 8592, 5016, 1863, 12399, 39182, 9957, 47525, 3224, 7251, 5172, 11242, 1863, 12399, 39182, 9957, 4724, 47341, 3615, 12399, 39894, 1863, 4587, 9381, 3714, 9381, 13546, 17182, 12399, 39182, 9957, 44945, 4117, 2288, 12399, 39894, 11622, 25708, 5296, 2304, 9381, 13546, 29076, 449, 12399, 37037, 4117, 15730, 12399, 4724, 43042, 3224, 41950, 1829, 9640], "avg_logprob": -0.2498740049139146, "compression_ratio": 1.9064039408866995, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 928.33, 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مصحى اللي؟ ليش مصحى الليش؟ تعرف تقارن من أكبر شبابها، خمسة كيلو جرام ولا ميت متر، من أكبر؟", "tokens": [9778, 2304, 3794, 3660, 3714, 995, 4117, 32887, 28242, 20498, 12399, 29538, 4724, 16254, 5551, 5016, 9566, 11296, 3714, 36081, 5551, 2304, 3555, 13546, 12399, 3714, 9381, 5016, 7578, 13672, 1829, 22807, 32239, 8592, 3714, 9381, 5016, 7578, 13672, 1829, 8592, 22807, 37279, 28480, 6055, 4587, 9640, 1863, 9154, 5551, 4117, 26890, 13412, 3555, 16758, 11296, 12399, 16490, 2304, 3794, 3660, 9122, 26895, 2407, 10874, 2288, 10943, 49429, 3714, 36081, 44650, 2288, 12399, 9154, 5551, 4117, 26890, 22807], "avg_logprob": -0.30735759040977384, "compression_ratio": 1.6597222222222223, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 998.58, "end": 999.24, "word": "خمسة", "probability": 0.7908935546875}, {"start": 999.24, "end": 999.5, "word": " ماكرو", "probability": 0.516998291015625}, {"start": 999.5, "end": 1000.46, "word": " كلوم،", "probability": 0.5845133463541666}, {"start": 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بسم الله الرحمن الرحيم نستأنف ما تبقى من + +2 +00:00:13,800 --> 00:00:18,500 +الـ chapter السادس عنوان الـ section اللي هنشرحه هو + +3 +00:00:18,500 --> 00:00:22,340 +culture rules احنا عرفنا المراهدين أن الدواء + +4 +00:00:22,340 --> 00:00:24,760 +القعبائية بتكون إما موصلة على التوالي أو على + +5 +00:00:24,760 --> 00:00:28,480 +التوازي لكن ما هوش هدول الخيارين الوحيدين الموجودين + +6 +00:00:28,480 --> 00:00:32,020 +هو أن الشغلة مش أبيض أو أسود في شغلات رمادية بمعنى + +7 +00:00:32,020 --> 00:00:35,700 +آخر أن في مرات التوصيلة بتكون لا هي توالي ولا هي + +8 +00:00:35,700 --> 00:00:39,920 +توازي وأنا بقدرش أحلل الدائرة الكعبائية باستخدام + +9 +00:00:39,920 --> 00:00:43,180 +فقط مبادئ التوالي والتوازي فكان لابد من وجود + +10 +00:00:43,180 --> 00:00:47,800 +نظريات مختلفة عشان أحلل وأبسط الدائرة الكعبائية من + +11 +00:00:47,800 --> 00:00:52,390 +أشهر هذه النظريات والقواعد هي Kershaws كيرشوف حط + +12 +00:00:52,390 --> 00:00:56,490 +قاعدتين كثير بسيطين يحل فيهم الدائرة الكهربائية أي + +13 +00:00:56,490 --> 00:01:00,110 +أن كانت تعقيدات الدائرة الكهربائية بضل بعد كده + +14 +00:01:00,110 --> 00:01:05,270 +مشكلة رياضية تبقى حل معادلات جبرية مش أكثر فكيرشوف + +15 +00:01:05,270 --> 00:01:09,650 +Rules اللي هم المعادلتين التاليتين المعادلة الأولى + +16 +00:01:09,650 --> 00:01:13,950 +بصورة بسيطة بيحكي أن التيار لما يجي بالدوينجسيم + +17 +00:01:14,970 --> 00:01:19,650 +مفروض لو هو عشرة جسم أربعة الثاني إيش بيكون؟ إذا + +18 +00:01:19,650 --> 00:01:23,130 +هو أربعة وستة عشر هي قاعدة مش قاعدة هي أفضل تمام؟ + +19 +00:01:23,130 --> 00:01:26,450 +بيبقى بيبقى صيغة في جال the sum of the currents + +20 +00:01:26,450 --> 00:01:30,870 +entering any junction must equal the sum of the + +21 +00:01:30,870 --> 00:01:33,910 +currents leaving that junction طبعًا التيار ما يدخل + +22 +00:01:33,910 --> 00:01:38,230 +بعود بتوزع فبيكون كأنه داخل النقطة وبعدين طلع من + +23 +00:01:38,230 --> 00:01:41,590 +النقطة فاللي داخل عن النقطة بيساوي اللي خارج من + +24 +00:01:41,590 --> 00:01:46,670 +النقطة النقطة هذه يسموها junction حاجتها عندي + +25 +00:01:46,670 --> 00:01:50,070 +النقطة هذه أنت هذه النقطة التيارية في تيار مش + +26 +00:01:50,070 --> 00:01:54,050 +بيتوزع بيتوزع لهذا التيار وهذا التيار بقدر أقول أي + +27 +00:01:54,050 --> 00:01:55,390 +واحد بيساوي أي اتنين اتنين اتنين اتنين اتنين اتنين + +28 +00:01:55,390 --> 00:01:55,630 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +29 +00:01:55,630 --> 00:01:57,750 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +30 +00:01:57,750 --> 00:01:58,810 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +31 +00:01:58,810 --> 00:02:00,610 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +32 +00:02:00,610 --> 00:02:06,930 +اتنين اتنين اتنتمام مش هو junction a junction is + +33 +00:02:06,930 --> 00:02:11,790 +any point هي نقطة in a circuit where a current can + +34 +00:02:11,790 --> 00:02:19,320 +split اللي عندها تيار بينقسم بيتجزأ إلى أي ذاك طبعًا + +35 +00:02:19,320 --> 00:02:23,060 +عندي هدا هي نقطة واضحة أن التيار عندها انقسم إلى + +36 +00:02:23,060 --> 00:02:26,060 +جزئين وبالتالي بقول التيار الأصل اللي داخل بيساوي + +37 +00:02:26,060 --> 00:02:31,020 +التيارين اللي خارجين وهدا نظرية كثير سهلة ومعروفة + +38 +00:02:31,020 --> 00:02:35,540 +وبتندرج شغل طبعًا من وين أصلها مبدأ conservation of + +39 +00:02:35,540 --> 00:02:38,320 +charge أن الـ charge is conserved معناه طبعًا عند الـ + +40 +00:02:38,320 --> 00:02:41,540 +charge انقسمت لمجموعة يبقى بيساوي المجموعة الأولانية + +41 +00:02:41,540 --> 00:02:44,640 +مبدأ conservation of charge القاعدة الثانية إيش + +42 +00:02:44,640 --> 00:02:48,610 +بقول بقول الـ algebraic sum of the potential + +43 +00:02:48,610 --> 00:02:52,530 +differences across all the elements around any + +44 +00:02:52,530 --> 00:02:56,410 +loop must be zero إيش يعني؟ بقول لو كان عندك شغل + +45 +00:02:56,410 --> 00:03:05,050 +زي هيك أنا مراهديك زي هيك أظن و + +46 +00:03:05,050 --> 00:03:07,970 +يبقى فرق جهد بين a و b هنا في عندك epsilon وهنا + +47 +00:03:07,970 --> 00:03:14,250 +في IR small r زي ما عملناها مش أنا بقول فرق الجهد + +48 +00:03:14,250 --> 00:03:18,870 +بين a و b عندي شغلتين epsilon و IR صح ولا لأ؟ + +49 +00:03:18,870 --> 00:03:27,430 +بحسبهم طيب Va ناقص Va إيش تتوقع الجواب يكون؟ zero هي + +50 +00:03:27,430 --> 00:03:30,470 +قاعدة كيرشوف الثانية Va ناقص Va + +51 +00:03:34,970 --> 00:03:43,190 +لازم الـ loop يكون مغلق لازم الـ loop يكون مغلق لازم + +52 +00:03:43,190 --> 00:03:43,650 +الـ loop يكون مغلق لازم الـ loop يكون مغلق لازم الـ loop + +53 +00:03:43,650 --> 00:03:44,130 +مغلق لازم الـ loop يكون مغلق لازم الـ loop يكون مغلق + +54 +00:03:44,130 --> 00:03:45,710 +لازم الـ loop يكون مغلق لازم الـ loop يكون مغلق لازم + +55 +00:03:45,710 --> 00:03:47,210 +الـ loop يكون مغلق لازم الـ loop يكون مغلق لازم الـ loop + +56 +00:03:47,210 --> 00:03:47,950 +مغلق لازم الـ loop يكون مغلق لازم الـ loop يكون مغلق + +57 +00:03:47,950 --> 00:03:52,570 +لازم الـ loop يكون طيب وأنت باشي هيكون عندك مشكلة + +58 +00:03:52,570 --> 00:03:56,570 +عندك فلطيات وعندك مقاومات وأنت بتجمع فرق جهد + +59 +00:03:56,570 --> 00:03:58,810 +فرق جهد هنا وفرق جهد هنا وفرق جهد هنا وفرق جهد + +60 +00:03:58,810 --> 00:03:58,890 +هنا وفرق جهد هنا وفرق جهد هنا وفرق جهد هنا و + +61 +00:03:58,890 --> 00:03:59,450 +فرق جهد هنا وفرق جهد هنا وفرق جهد هنا وفرق جهد + +62 +00:03:59,450 --> 00:04:00,850 +فرق جهد هنا وفرق جهد هنا وفرق جهد هنا وفرق جهد + +63 +00:04:00,850 --> 00:04:06,590 +هنا وفرق جهد هنا وفرق جهد هنا وفرق جهد هنا و + +64 +00:04:06,590 --> 00:04:11,300 +فرق جهد هنا وفرق جو الـ scholars جامعهم جبري والـ + +65 +00:04:11,300 --> 00:04:14,460 +scholars هدول عشان فرق جهود ممكن يكون positive أو + +66 +00:04:14,460 --> 00:04:17,560 +ممكن يكون negative تبع اللي إيه وإيه الشغل المرة + +67 +00:04:17,560 --> 00:04:21,260 +دي حكينا التالي شباب وأنا طالع من واطي لعالي بكسب + +68 +00:04:21,260 --> 00:04:24,820 +طاقة ولا بفقد طاقة يعني الفرق في الطاقة موجب ولا + +69 +00:04:24,820 --> 00:04:29,400 +سالب؟ موجب وأنا نازل؟ سالب كيف بدي أعملها؟ بقول + +70 +00:04:29,400 --> 00:04:33,900 +لو كنت أنا ماشي من الواطي للعالي بيكون فرق الجهود + +71 +00:04:33,900 --> 00:04:37,940 +موجب لو كنت ماشي من العالي للواطي بيكون الفرق سالب + +72 +00:04:37,940 --> 00:04:42,800 +صح ولا لأ؟ العالي والواطي بيقابلها في الكهربية + +73 +00:04:42,800 --> 00:04:46,480 +السالب والموجب صحيح ولا لأ؟ السالب واطي والموجب + +74 +00:04:46,480 --> 00:04:49,880 +عالي إذا أنا ماشي من السالب للموجب معناته هو الفرق + +75 +00:04:49,880 --> 00:04:53,420 +موجب وإذا ماشي من الموجب للسالب بيكون الفرق سالب + +76 +00:04:53,420 --> 00:04:58,090 +إذن وأنا ماشي بتعامل معها طبعًا احنا هنكررها كثير في + +77 +00:04:58,090 --> 00:05:01,890 +الأول هنا اللي حكيته بيقول لي the first rule is an + +78 +00:05:01,890 --> 00:05:04,070 +application of the conservation of charge + +79 +00:05:04,070 --> 00:05:08,290 +principle آه حكينا طب second one يا بابا بيقول هذا + +80 +00:05:08,290 --> 00:05:11,570 +مبدأ conservation of energy أنت هذا جاي مراح ورجع + +81 +00:05:11,570 --> 00:05:16,970 +ما كانتش الطاقة الكلية في الآخر سفر هذا مبدأ طبعًا + +82 +00:05:16,970 --> 00:05:20,980 +هل الجهود اللي علاقة بالطاقة ولا علاقة؟ فهي طاقة + +83 +00:05:20,980 --> 00:05:24,200 +فأن هي جواد ما هي طاقة إذا لما يقول لي أن هي جواد + +84 +00:05:24,200 --> 00:05:26,040 +بالنقطتين نفس النقطتين بالساعة والساعة.. ما هو + +85 +00:05:26,040 --> 00:05:31,060 +منطقي لأنه متعامل مع طاقة تمام بيقول لي to apply the + +86 +00:05:31,060 --> 00:05:34,000 +second rule عشان أنت تشتغل على الـ second rule هي + +87 +00:05:34,000 --> 00:05:38,140 +أثناء المعذرة الـ first rule سهلة سهلة كثير لأنه + +88 +00:05:38,140 --> 00:05:41,260 +مجرد الداخل مثلاً ولا الخارج to apply the second + +89 +00:05:41,260 --> 00:05:44,580 +rule we should know the following two remarks إيش + +90 +00:05:44,580 --> 00:05:47,480 +في عندي؟ بتركز أنا على المقارنة وبتركز على + +91 +00:05:47,480 --> 00:05:50,720 +البطارية since the current through a resistor + +92 +00:05:50,720 --> 00:05:53,840 +moves from the end of higher potential to that of + +93 +00:05:53,840 --> 00:05:58,160 +lower potential هي عندي مقارنة وهي التيار تقول لي + +94 +00:05:58,160 --> 00:06:01,980 +وين الجهد العالي وين الجهد الواقعي هالجام؟ أنا + +95 +00:06:01,980 --> 00:06:04,360 +ما أعرفش الجهد العالي والجهد الواقعي الآن إذا أنا + +96 +00:06:04,360 --> 00:06:08,520 +ماشي هي من عالي لواقعي سالب صح ولا لأ؟ إذا أنا ماشي + +97 +00:06:08,520 --> 00:06:11,400 +.. هاي الـ initial point وهي الـ final point، منتهي + +98 +00:06:11,400 --> 00:06:14,780 +الفرق سالب، إذا أنا ماشي من هال لها، هذا السلب + +99 +00:06:14,780 --> 00:06:17,640 +وهذا الموجب، أنا مازل من واقعي للعالي، بكل موجب، + +100 +00:06:17,640 --> 00:06:20,380 +يعني هذي زي ما أنتم حاكيتولي الموجب والسلب وضعوا، + +101 +00:06:20,380 --> 00:06:24,080 +من وضعوا اتجاه التيار؟ لو المقاومة ما فيش فيها + +102 +00:06:24,080 --> 00:06:27,480 +تيار، بقدر أعرف موجبها من سلبها؟ لأ إذا لازم أنا + +103 +00:06:27,480 --> 00:06:31,360 +أكون في تيار بيقول لي the change in potential + +104 +00:06:31,360 --> 00:06:36,800 +through any resistor is negative for a move in the + +105 +00:06:36,800 --> 00:06:39,380 +direction of the current إذا أنت ماشي من اتجاه + +106 +00:06:39,380 --> 00:06:43,240 +التيار بتكون ناشي من العالي لو واطي بيكون الفرق + +107 +00:06:43,240 --> 00:06:51,410 +سالب تمام؟ هيك هذا موجب أنا هيك ماشي موجب أعكس إيش + +108 +00:06:51,410 --> 00:06:57,410 +بيكون سالب صري أنا عملت العكس هيك سالب وهيك موجب + +109 +00:06:57,410 --> 00:07:01,150 +مع التيار بيكون سالب وهيك بيكون موجب طبعًا وأنا + +110 +00:07:01,150 --> 00:07:03,730 +ماشي هيك بكون ماشي من العلي للواطي شباب فالفرق + +111 +00:07:03,730 --> 00:07:06,830 +سالب لما بكون ماشي من واطي لعلي بيكون الفرق موجب + +112 +00:07:07,040 --> 00:07:09,920 +إذا أنا طبعًا كيف بدي أمشي هيك ولا هيك؟ أقدم نعرف + +113 +00:07:09,920 --> 00:07:13,000 +لأن أنا بدي أبدأ من النقطة وأرجع نفس النقطة هيك + +114 +00:07:13,000 --> 00:07:15,580 +بدي أبدأ من النقطة وأرجع نفس النقطة في عندي خرينة + +115 +00:07:15,580 --> 00:07:18,820 +لا بمشي هيك ولا بمشي هيك وبالتالي كيف بمشي أنا أنا + +116 +00:07:18,820 --> 00:07:23,370 +هحدده وأنا بحل المسائل تمام The change in + +117 +00:07:23,370 --> 00:07:27,290 +potential through any resistor is negative for a + +118 +00:07:27,290 --> 00:07:30,850 +move in the direction of the current and positive + +119 +00:07:30,850 --> 00:07:33,330 +for a move opposite to the direction of the + +120 +00:07:33,330 --> 00:07:36,950 +current. هذه واضحة، مظبوطة ولا شباب؟ واضحة، وأنا + +121 +00:07:36,950 --> 00:07:40,210 +ماشي مع التيار، إذا التيار معي، بحط الفرق سالب، + +122 +00:07:40,210 --> 00:07:44,010 +إذا التيار عكسي، بحط الفرق موجب، والفرق من قانون + +123 +00:07:44,010 --> 00:07:47,610 +Ohm I في R، لأنه أنا بدي فرق جهد، ففرق الجهد حسب + +124 +00:07:47,610 --> 00:07:52,380 +قانون Ohm بيساوي I في R البطارية موجبها وسالبها + +125 +00:07:52,380 --> 00:07:55,480 +معروفين ولا مش معروفين؟ معروفين بالتالي إذا أنا + +126 +00:07:55,480 --> 00:07:58,220 +ماشي من السالب للموجب الفرق موجب إذا ماشي من + +127 +00:07:58,220 --> 00:08:01,860 +الموجب للسالب الفرق سالب وبقنعها شباب بالقوة + +128 +00:08:01,860 --> 00:08:06,320 +الدافعة الكهربية القوة الدافعة الكهربية ليه سميتها + +129 +00:08:06,320 --> 00:08:09,960 +أنا قوة دافعة كهربية؟ عشان ترفع الشحنات من وين + +130 +00:08:09,960 --> 00:08:12,920 +لوين؟ من الواطي للعالي إذا بينقل في اتجاه دي إما + +131 +00:08:12,920 --> 00:08:15,240 +بيكون من السالب للموجب + +132 +00:08:17,560 --> 00:08:21,420 +هذه اتجاهها هجيت بقول the change in potential + +133 +00:08:21,420 --> 00:08:25,100 +through an ideal battery طبعًا كلمة ideal يعني + +134 +00:08:25,100 --> 00:08:29,720 +ما لهاش مقاومة داخلية is positive for a move from + +135 +00:08:29,720 --> 00:08:31,640 +the negative to the positive terminal of the + +136 +00:08:31,640 --> 00:08:34,600 +battery and negative for a move in the opposite + +137 +00:08:34,600 --> 00:08:41,230 +direction يعني هيك بيكون موجب وأنا عاكس بيكون سالب + +138 +00:08:41,230 --> 00:08:45,850 +إذا نفيها إما plus epsilon أو minus epsilon إذا أنا + +139 +00:08:45,850 --> 00:08:50,010 +ماشي هيك بيكون plus epsilon أمشي بالعكس بيكون + +140 +00:08:50,010 --> 00:08:53,590 +minus epsilon إذا أنا ماشي مع epsilon بيكون الفرق + +141 +00:08:53,590 --> 00:08:57,510 +موجب إذا أنا ماشي عكس epsilon بيكون الفرق سالب + +142 +00:08:57,510 --> 00:09:00,460 +واضحين يا شباب؟ هذه القاعدتين اللي بدي أشتغل معهم + +143 +00:09:00,460 --> 00:09:03,780 +وأنا جاعد بجاعد بجمع فرق جهود لأن أنا بجمع فرق + +144 +00:09:03,780 --> 00:09:06,560 +جهود وفرق الجهود ممكن يكون موجب وممكن يكون سالب كم + +145 +00:09:06,560 --> 00:09:09,560 +يبقى ضعفه حسب القاعدة أن هدول وأنا ماشي التيار + +146 +00:09:09,560 --> 00:09:12,480 +معي بيكون سالب فرق الجهود تبع المقاومة إذا + +147 +00:09:12,480 --> 00:09:18,260 +التيار عكسي بيكون موجب البطارية إذا معي إبسلون + +148 +00:09:18,260 --> 00:09:22,320 +بتبع معي بيكون موجب إذا إبسلون معي عكسي + +149 +00:09:22,320 --> 00:09:26,220 +بيكون سالب هذه القاعدتين اللي بدي أمشي عليهم تمام + +150 +00:09:28,210 --> 00:09:32,650 +كيرشوفز رول قال مشكلته أن أنا بدي معادلات بعدد + +151 +00:09:32,650 --> 00:09:35,850 +عدد المجاهيل الشباب يعني أنا في الآخر أنا إيش بدي + +152 +00:09:35,850 --> 00:09:38,750 +من الدائرة بيقول لي اودي دي التيارات أو اودي دي الـ + +153 +00:09:38,750 --> 00:09:42,910 +power يعني في الآخر في الآخر بدي أشوف كل مقاومة كان + +154 +00:09:42,910 --> 00:09:47,740 +في تيار دخلها كم أمبير دخلها طيب هذه التجارة مجهولة + +155 +00:09:47,740 --> 00:09:50,500 +عشان أحلها بدي معادلات عندي ثلاث مجهولة كان معادلة + +156 +00:09:50,500 --> 00:09:54,840 +بالزمن ثلاث إذا أنا مشكلتي أني بدي معادلات جبرية + +157 +00:09:54,840 --> 00:09:57,720 +كيف أجيبها؟ قال لي قاعدة take Kershaw بيجيبولك + +158 +00:09:57,720 --> 00:10:01,140 +المعادلات كيف أحل؟ بقول strategy for solving a + +159 +00:10:01,140 --> 00:10:05,080 +problem using Kershaw's rule أول حاجة طبعًا هذه + +160 +00:10:05,080 --> 00:10:08,280 +دايمًا بتكون معطية لكم لأن الرسم أنا برسمها بقول + +161 +00:10:08,280 --> 00:10:11,180 +اضغط على circuit diagram ارسم الـ circuit والـ + +162 +00:10:11,180 --> 00:10:14,200 +circuit في كل الأسئلة بتكون مرسومة and label all + +163 +00:10:14,200 --> 00:10:17,660 +quantities known and unknown وكل الـ quantities الـ + +164 +00:10:17,660 --> 00:10:22,080 +I's والـ R's والـ Y's أدّيها رموز epsilon واحد epsilon + +165 +00:10:22,080 --> 00:10:25,680 +اثنين epsilon ثلاثة I واحد I اثنين I ثلاثة R واحد R + +166 +00:10:25,680 --> 00:10:29,820 +اثنين R ثلاثة أدّي رموز على هذا الأساس تمام خلصت و + +167 +00:10:29,820 --> 00:10:32,240 +غالبا برده هذا الشيء اللي بتحط لك يعني بقول لك R + +168 +00:10:32,240 --> 00:10:34,440 +واحد بيساوي كذا R اثنين بيساوي كذا epsilon واحد بيساوي + +169 +00:10:34,440 --> 00:10:39,260 +كذا لكن اللي مش موجودة أدّيها رموز أنت من عندك حاجتش + +170 +00:10:39,260 --> 00:10:42,940 +بيقول لي assign a direction for the current in each + +171 +00:10:42,940 --> 00:10:46,920 +part of the circuit بيبقى تحدد اتجاهات للتيارات + +172 +00:10:46,920 --> 00:10:50,440 +تمام؟ بيحط اتجاهات لها كيف تحطها؟ بيقول لي don't + +173 +00:10:50,440 --> 00:10:54,200 +bother if your guess of current direction is + +174 +00:10:54,200 --> 00:10:57,300 +incorrect the result will have a negative value + +175 +00:10:57,3 + +201 +00:12:20,480 --> 00:12:24,020 +المجاهد؟ ممكنش تتكرر نفس المعادلات تمام + +202 +00:12:24,020 --> 00:12:28,020 +الآن عشان أنا أطبق القاعدة الثانية اللي لكيرشوف إيش + +203 +00:12:28,020 --> 00:12:32,500 +بده بقول choose any closed loop in the network + +204 +00:12:32,500 --> 00:12:34,900 +circuit أو ال network الشبكة ممكن يكون فيها أكثر + +205 +00:12:34,900 --> 00:12:38,730 +من loop شباب، أنت ممكن تختار واحدة من هال loops أي + +206 +00:12:38,730 --> 00:12:42,930 +دائرة مغلقة أو loop مغلقة، هذه ال loop بيتطبق + +207 +00:12:42,930 --> 00:12:46,670 +عليها قاعدة كيرشوف، طيب and designate a direction + +208 +00:12:46,670 --> 00:12:50,670 +clockwise or counter clockwise to traverse the + +209 +00:12:50,670 --> 00:12:54,090 +loop أنت بدك تلف، أنت بتقول نقطة، بدي ارجع لنفس النقطة + +210 +00:12:54,090 --> 00:12:57,830 +طب كيف بدي ارجع لنفس النقطة؟ بدك تمشي مشوار، تمشي هيك ولا + +211 +00:12:57,830 --> 00:13:01,490 +لا تمشي هيك، أنت حر بس أنت قولي كيف أنت ماشي، يعني لا + +212 +00:13:01,490 --> 00:13:05,070 +تمشي clockwise لا تمشي counter clockwise عشان وانت + +213 +00:13:05,070 --> 00:13:08,730 +ماشي ساعتها تجيب ال positive و ال negative فأنت + +214 +00:13:08,730 --> 00:13:12,310 +بيبقى تقول كيف أنت تمشي على ال loop بحيث تبدأ من + +215 +00:13:12,310 --> 00:13:15,570 +النقطة و ترجع لنفس النقطة، وفي عندك خيارين، لا + +216 +00:13:15,570 --> 00:13:20,590 +clockwise لا counter clockwise ما فيش خيار ثالث، و + +217 +00:13:20,590 --> 00:13:23,410 +لما تقلب من clockwise و counter clockwise إيش اللي + +218 +00:13:23,410 --> 00:13:27,400 +بيفرق شباب؟ وكأنك ضربت المعادلة في سالب، يعني واحد + +219 +00:13:27,400 --> 00:13:29,720 +شغال clockwise و واحد زميله ويقول أنا بدي counter + +220 +00:13:29,720 --> 00:13:33,340 +clockwise إيش بيفرقوا على بعض؟ و ليش؟ وكأنك جربت + +221 +00:13:33,340 --> 00:13:36,020 +المعادلة بسالب، والمعادلة اللي بتعمل معادلة بسالب + +222 +00:13:36,020 --> 00:13:40,000 +بيفرق عندك؟ لأ، بتبقى نفس القضية، تمام، حاجات إيش + +223 +00:13:40,000 --> 00:13:44,240 +بقولك؟ starting from one point in the loop go + +224 +00:13:44,240 --> 00:13:47,500 +around the loop in the designated direction sum + +225 +00:13:47,500 --> 00:13:50,000 +the potential differences across all the elements + +226 +00:13:50,000 --> 00:13:53,200 +of the chosen loop to zero، ونبدأ من النقطة ومشي + +227 +00:13:53,690 --> 00:13:56,910 +طبعًا أنت ماشي هتجيب ال elements، الشيء ال elements + +228 +00:13:56,910 --> 00:14:01,490 +بطاريات، مقاومات، ممكن يكون مكثفات، ممكن يكون ملفات + +229 +00:14:01,490 --> 00:14:06,350 +وأنت ماشي كل عنصر بتمر عليه، تجيب فرق جهده وتحطه + +230 +00:14:06,350 --> 00:14:08,970 +العنصر اللي وراه، تجيب فرق جهده تحطه، ولكن مجموعه + +231 +00:14:08,970 --> 00:14:12,270 +بيساوي زيرو، حيث أنك بتحط فرق الجهد، ممكن يكون + +232 +00:14:12,270 --> 00:14:14,330 +positive وممكن يكون negative وبالتالي بيكتشف + +233 +00:14:14,330 --> 00:14:17,450 +استخدام القاعدة اللي حاكيلها أن ال positive أو ال + +234 +00:14:17,450 --> 00:14:22,910 +negative بدك تاخدها في عين الاعتبار، في فعل هذا يجب + +235 +00:14:22,910 --> 00:14:26,330 +أن تلاحظ أسئلة المقاومة التي قد تحدثت قبلها اللي + +236 +00:14:26,330 --> 00:14:29,810 +هو المقاومة إذا ماشي مع التيار فرق جهدها إيش + +237 +00:14:29,810 --> 00:14:34,630 +بيكون؟ سالب، إذا ماشي ضد التيار فرق جهدها موجب + +238 +00:14:34,630 --> 00:14:39,170 +البطارية إذا ماشي مع ال emf فرق جهدها إيش بيكون؟ + +239 +00:14:40,280 --> 00:14:43,880 +موجب، وإذا كنت ماشي ضد ال emf سالب، هيقول توري مارف + +240 +00:14:43,880 --> 00:14:49,260 +وهي بعيدها the potential difference across an emf + +241 +00:14:49,260 --> 00:14:54,880 +يعني بطارية is positive epsilon if it traversed + +242 +00:14:54,880 --> 00:14:57,540 +from the negative to the positive terminal، مظبوط + +243 +00:14:57,540 --> 00:15:01,700 +and minus epsilon if it traverse in opposite .. in + +244 +00:15:01,700 --> 00:15:04,740 +the opposite direction، طب المقاومة the potential + +245 +00:15:04,740 --> 00:15:08,400 +difference across any resistor is minus I في ال R + +246 +00:15:08,400 --> 00:15:12,060 +if the resistor is traverse in the direction of + +247 +00:15:12,060 --> 00:15:15,740 +the assumed current and plus I في ال R if it + +248 +00:15:15,740 --> 00:15:19,720 +traverse in the opposite direction، يا عجب، ثم بعدين + +249 +00:15:19,720 --> 00:15:22,940 +بيقول لي أخذت أنت loop هاي، صحيح، عندك معادلة ثانية + +250 +00:15:22,940 --> 00:15:25,880 +عندك تلات مجاهيل، بدك كم loop عشان بدك كم تلات + +251 +00:15:25,880 --> 00:15:30,460 +معادلة، بيقول لي choose another loop and repeat the + +252 +00:15:30,460 --> 00:15:35,840 +fifth step to get a different equation relating + +253 +00:15:35,840 --> 00:15:38,180 +the unknown quantities continue until you have as + +254 +00:15:38,180 --> 00:15:41,860 +many equations as unknowns، عندك خمس مجاهيل بدك خمس + +255 +00:15:41,860 --> 00:15:44,940 +معادلات، عندك ست مجاهيل بدك ست معادلات، بتشتغل على + +256 +00:15:44,940 --> 00:15:47,540 +هذا الأساس، طبعًا غالبًا بيكونوش خمسة أو ستة يعني، + +257 +00:15:47,540 --> 00:15:51,480 +غالبا تلاتة بيكونوا، So if these equations + +258 +00:15:51,480 --> 00:15:53,440 +symmetrically correspond to four values حلو، خلاص + +259 +00:15:53,440 --> 00:15:56,120 +تكونوا عن تحت المسألة، طبعًا احنا اللي بيهمنا + +260 +00:15:56,120 --> 00:15:59,640 +المعادلات، ما بيهمناش الحل الجبري، بيهمنا المعادلات + +261 +00:15:59,640 --> 00:16:02,840 +وإذا بتحلوا في الكتاب هتشوفوا إنه لو السؤال بده + +262 +00:16:02,840 --> 00:16:07,740 +عشر دقائق طول مدة حل بيكون دقيقتين بس عشان تحط + +263 +00:16:07,740 --> 00:16:11,520 +المعادلات، و تمام، دقائق بس تحلي الجبر، تمام؟ احنا مش + +264 +00:16:11,520 --> 00:16:14,320 +جبر، مش لما حصلت جبر، وبالتالي أنا في الامتحان + +265 +00:16:14,320 --> 00:16:18,500 +ببعث .. ببعث عليه 2.9 علامات وببعث على 8 دقايق + +266 +00:16:18,500 --> 00:16:21,520 +علامة واحدة، يعني حط المعادلة صح بتاخد 9 من 10 + +267 +00:16:21,520 --> 00:16:26,760 +و حل تاخد علامة في الآخر، ما تفرقش معايا حل الجبر هو + +268 +00:16:26,760 --> 00:16:30,680 +بياخد مدة طويلة لإن بيصي فيه مشكلة، تمام؟ نبدأ + +269 +00:16:30,680 --> 00:16:35,700 +الحل، نشوف أول سؤال، سؤال سهل جدًا بيقول لي in the + +270 +00:16:35,700 --> 00:16:39,200 +circuit shown Find the current in the circuit and + +271 +00:16:39,200 --> 00:16:42,160 +the power delivered to each resistor and the power + +272 +00:16:42,160 --> 00:16:45,740 +delivered by the 12 volt battery، بيقول لي في + +273 +00:16:45,740 --> 00:16:50,080 +التيار، اوجد التيار، واوجد الفور على كل المقاومة + +274 +00:16:50,080 --> 00:16:54,380 +هذه سهلة، أتيت بس بمجلة عشان نتدرب حالنا كيف نطبق + +275 +00:16:54,380 --> 00:16:57,400 +القاعدة الثانية اللي لكيرشوف، في هذه إيه إيه إيه + +276 +00:16:57,400 --> 00:17:02,760 +إيه إيه إيه إيه، كم junctions فيه؟ ولا junctions + +277 +00:17:02,760 --> 00:17:06,420 +التيار وين بنقسمه؟ فيه بنقسم عندنا؟ وين بتفرع؟ + +278 +00:17:06,420 --> 00:17:09,700 +بتفرعش، لإن ما فيش junctions، عشان كده أنا بدي + +279 +00:17:09,700 --> 00:17:11,740 +أستخدم مثلًا القاعدة الثانية لكيرشوف، في الأولى ما الهاش + +280 +00:17:11,740 --> 00:17:15,320 +لازمة، ما فيش junctions، رَبِّق عليها إيش بدهوا؟ بدهوا + +281 +00:17:15,320 --> 00:17:18,740 +التيار الوحيد قيمته I، بدهوا، بعدين بدهوا ال + +282 +00:17:18,740 --> 00:17:21,920 +power، ما عرفتش I، بقدر أجيب ال power ولا لأ؟ مش أي + +283 +00:17:21,920 --> 00:17:25,200 +تربيع في ال R، طيب بيدّو كمان الفوار تبعت ال 12 volt + +284 +00:17:25,200 --> 00:17:28,700 +ماهي I في V، والتيار معروف، يعني لو أجبت I بدون + +285 +00:17:28,700 --> 00:17:32,460 +مفاتيح ما بتطلعش الفوار تبعت ال 12 volt، تمام .. خلينا + +286 +00:17:32,460 --> 00:17:32,740 +نجرب + +287 +00:17:37,370 --> 00:17:39,950 +Solution، بيقول لي the direction of the currents are + +288 +00:17:39,950 --> 00:17:42,630 +assigned arbitrarily، بيقول لي ال direction اللي أنا + +289 +00:17:42,630 --> 00:17:46,790 +حاطه .. أنا حاطه قلم الرصاص حاطه هيك ما فكرتش فيه + +290 +00:17:46,790 --> 00:17:48,890 +كيف، طبعًا واحد بيطلع و بيقول لك هذه المفروض يكون + +291 +00:17:48,890 --> 00:17:52,650 +معاكوس، لإن هو ال 12 بتغلب ال 6، صح ولا لأ؟ طبعًا هذه + +292 +00:17:52,650 --> 00:17:55,670 +دائرة سهلة إن ممكن تعمل interesting، سهلة لكن في بعض + +293 +00:17:55,670 --> 00:17:59,330 +الدوائر اللي ممكن تعمل بسهولة، بتالي هو يعلنك من هال + +294 +00:17:59,330 --> 00:18:05,520 +gate، حط ال direction غلط، أي من الكاتب، حطها يمين + +295 +00:18:05,520 --> 00:18:08,240 +التيار وخلاص، رايح حاله كيف، التيار بيكون مالو + +296 +00:18:08,240 --> 00:18:10,980 +إيش دعوة؟ هو في الآخر هيطلع سالب وهيطلع سالب، ما ليش + +297 +00:18:10,980 --> 00:18:14,500 +دعوة فيه، تمام، the direction of the currents are + +298 +00:18:14,500 --> 00:18:17,580 +assigned arbitrarily، سرعة عشوائية من دون مفاكر جالك + +299 +00:18:17,580 --> 00:18:21,280 +تمام، as shown in the figure as it is clear from + +300 +00:18:21,280 --> 00:18:23,680 +the circuit there is one loop with no junctions + +301 +00:18:32,010 --> 00:18:36,710 +عشان واحدة الإجابات بس، عشان كده نعطيها ونروحها + +302 +00:18:36,710 --> 00:18:41,670 +تمام، now we apply Kirchhoff's second rule، ال first + +303 +00:18:41,670 --> 00:18:46,390 +rule بدي أطبقها في ال junction، تمام، to the loop + +304 +00:18:46,390 --> 00:18:48,470 +and you traverse the loop in the clockwise + +305 +00:18:48,470 --> 00:18:51,490 +direction، شباب بدي أمشي مع عقارب الساعة يعني هيك + +306 +00:18:51,490 --> 00:18:54,940 +بدي أمشي، هذه العلامة بتحطوها عشان أعرف أنا اتبعتكم ولا + +307 +00:18:54,940 --> 00:18:57,580 +أنتم ماشيين، وتقولوا لي إيه، أنا رايحين مع عقارب + +308 +00:18:57,580 --> 00:19:00,680 +الساعة ولا ضد عقارب الساعة، تمام، من وين بدي أبدأ؟ + +309 +00:19:00,680 --> 00:19:03,660 +بدي أبدأ من هذه النقطة السفلى، شايفينها؟ بدي أمشي + +310 +00:19:03,660 --> 00:19:06,460 +مع عقارب الساعة، هاجيت، بدي اروح وين؟ انزل تحت ولا + +311 +00:19:06,460 --> 00:19:11,520 +اروح يمين؟ بدي اروح يمين، صح أو لا؟ وانت ماشي + +312 +00:19:11,520 --> 00:19:16,500 +واحدة واحدة، شباب، هاه؟ هاجيت إيش معايا؟ الـ 6 + +313 +00:19:16,500 --> 00:19:21,220 +معايا ولا برضيه؟ موجب ولا سالب؟ موجب، إذن هي أول + +314 +00:19:21,220 --> 00:19:29,180 +واحدة جابالك، بحط على طول epsilon one بالموجب طبعًا + +315 +00:19:29,180 --> 00:19:32,700 +وأنا وصلت، وصلت هناك إيش بعد كده بدي أصير؟ بدي + +316 +00:19:32,700 --> 00:19:37,220 +أنزل صح ولا لأ؟ لما بدي أنزل، هال gate إيه بدي يصير + +317 +00:19:37,220 --> 00:19:44,680 +معايا؟ تيار وأنا ماشي مع بعض، سالب ثمانية I أو + +318 +00:19:44,680 --> 00:19:50,160 +سالب خلينا نقول 8 I، صح ولا لأ؟ بعدين بعوض؟ + +319 +00:19:51,690 --> 00:19:55,230 +كمان؟ شوفتوا كيف يوحي بيكون الشغل معاه ولا ضده؟ هو + +320 +00:19:55,230 --> 00:19:58,010 +اللي حد بيقول هو بده يروح أصلاً، أنا محدد إن I + +321 +00:19:58,010 --> 00:20:02,270 +أكله كويس، إذا صار اتجاهي معروف والتيار معروف فأنا + +322 +00:20:02,270 --> 00:20:05,350 +أشوف التيار معاه وأنا ضده، هيوا معايا، حطوا تسابق + +323 +00:20:05,350 --> 00:20:09,310 +طيب، الآن أنا وصلت تحت، بده يروح حد في يسار، لما بده + +324 +00:20:09,310 --> 00:20:17,710 +يروح يسار بيكسك تحتك ولا لأ، ناقص + +325 +00:20:17,710 --> 00:20:28,940 +2 I، ناقص 2 I، حلو، ما وصلتش النقطة لسه، ناقص I + +326 +00:20:28,940 --> 00:20:33,240 +في R2، مظبوط ولا لأ؟ بيساوي صفر، أنا وصلت في الآخر + +327 +00:20:33,240 --> 00:20:37,980 +وصلت لفوق، إذا ببدأ من النقطة، بمشي، وأنا طول ما أنا + +328 +00:20:37,980 --> 00:20:39,440 +ماشي بشوف إيش بجهد بحكي + +329 +00:20:42,190 --> 00:20:46,570 +بتطلع نفس المعادلة ولا كانت؟ نفس المعادلة، بس هذي بصير سالق + +330 +00:20:46,570 --> 00:20:50,550 +وهذي بصير موجودة وهذي موجودة وهذي موجودة .. في الآخر + +331 +00:20:50,550 --> 00:20:54,590 +المعادلة بتفرق، وكانت جالس المعادلة في إيش؟ سوريا + +332 +00:20:54,590 --> 00:20:58,190 +.. وبيعملوا قوى، يعني المعادلة اللي أبنها بتسلب + +333 +00:20:58,190 --> 00:21:02,510 +واحد .. المعادلة اللي أبنها بتسلب واحد .. المعادلة + +334 +00:21:02,510 --> 00:21:02,950 +واحد .. المعادلة اللي أبنها بتسلب واحد .. لو قلت + +335 +00:21:02,950 --> 00:21:07,370 +عادل، أنا آسف عادل إذا مشي تقلّب كويس أو counter تقلّب + +336 +00:21:07,370 --> 00:21:10,350 +كويس، ما تفرقش في الإجابات، عشان كده جالك امشي كيف ما + +337 +00:21:10,350 --> 00:21:13,290 +بدك، هو جالك امشي كيف ما بدك هو عارف حاله لإن ليش + +338 +00:21:13,290 --> 00:21:18,170 +يا شباب هو بيقولي هو Vb ناقص Va، هجيتي هو أصلاً بيه + +339 +00:21:18,170 --> 00:21:21,170 +final ناقص V initial، لما يقولي هيك أنت بتقدر من ال + +340 +00:21:21,170 --> 00:21:23,830 +initial تبقى ال final، صح ولا لا؟ لكن لما يقول a و + +341 +00:21:23,830 --> 00:21:27,350 +a، طب إن هي initial وهي final ما تفرقش، هذي initial وبعدين + +342 +00:21:27,350 --> 00:21:29,910 +اروح هنا ولا هذين ما تفرقش، فبالتالي، وما تروح ولا + +343 +00:21:29,910 --> 00:21:31,550 +تروح غير لما يقولك initial و final + +344 +00:21:39,540 --> 00:21:42,820 +تفرق .. هتفرق لأن بتكون واضح من وين لو وين، عادة + +345 +00:21:42,820 --> 00:21:47,280 +ما نحكي عنها، تمام شباب .. عوض .. عوض .. طبعًا هذا + +346 +00:21:47,280 --> 00:21:52,060 +كان معادلة .. معادلة واحدة ومجهولة وحيد .. سهلة .. + +347 +00:21:52,060 --> 00:21:55,180 +طلع I .. اه دي سهلة .. طلع السالب، أنا مش طلع + +348 +00:21:55,180 --> 00:21:57,820 +السالب .. طلع السالب أنا .. ال direction لو دققنا + +349 +00:21:57,820 --> 00:22:00,840 +هو عارف إنه معاكوس بالعمدة من الأول .. بقول لك أنا + +350 +00:22:00,840 --> 00:22:02,700 +ما تفرقش في احنا ال direction، أنا طلع السالب .. + +351 +00:22:02,700 --> 00:22:05,220 +يعني معاكوس .. مش مشكلة .. أنا دي بقول لك اه دي دي + +352 +00:22:05,220 --> 00:22:09,040 +ال power .. لو دي طلعت شباب من الدربل 12 في هذه .. + +353 +00:22:10,730 --> 00:22:16,090 +الباور تبعت هذه 12 في 0.3 و12 في 3، حوالي 3.9، حوالي + +354 +00:22:16,090 --> 00:22:21,070 +4 أربع وات .. أربع وات .. أربع وات .. حلو الأربع + +355 +00:22:21,070 --> 00:22:23,490 +واط مين بتروحوا؟ المفروض هذا ياخد جزء وهذا ياخد + +356 +00:22:23,490 --> 00:22:28,190 +جزء وهذا ياخد جزء، صح ولا لا؟ هذه بصي العملية + +357 +00:22:28,190 --> 00:22:34,190 +الشحن لها، تنشحنوا هدول .. هدول دفايات بيطلعوا حرارة + +358 +00:22:34,190 --> 00:22:37,750 +.. هدول دفايات بيطلعوا حرارة .. أما هذه .. هذه + +359 +00:22:37,750 --> 00:22:39,930 +بطارية .. ما عندي دفايات أو لبضة أو اللي بتكون إيه + +360 +00:22:39,930 --> 00:22:42,210 +.. المهم هي تاخد طاقة في الآخر .. بس خليها دفايات + +361 +00:22:42,210 --> 00:22:45,630 +عشان أكثر حاجة محسوسة إنه بتتدفع يعني .. بتلاقي + +362 +00:22:45,630 --> 00:22:49,550 +إن في حرارة .. في النهاية الطاقة مش حرارة بس .. + +363 +00:22:49,550 --> 00:22:54,910 +مهد طاقة .. إنارة طاقة .. حركة .. هوية .. هي برضه + +364 +00:22:54,910 --> 00:22:58,800 +طاقة .. حركة .. هذا يعني أنك تريد طاقة في هذا + +365 +00:22:58,800 --> 00:23:01,220 +البرامج، لو جيت حسبت البرامج تبعا هنا، بقول هذا + +366 +00:23:01,220 --> 00:23:04,520 +minus sign in the case that the direction of I is + +367 +00:23:04,520 --> 00:23:08,500 +opposite the emf direction، تمام، جاليه حسب + +368 +00:23:08,500 --> 00:23:13,460 +البرامج، طلعت P1 تبعت المقاومة الأولى، وP2، اجمعهم + +401 +00:25:16,160 --> 00:25:20,460 +V final-V initial هاي الـ Delta V أنا عادة لما أقول + +402 +00:25:20,460 --> 00:25:26,010 +final-initial هادي لاقيته initial إيش يعني initial؟ + +403 +00:25:26,010 --> 00:25:31,550 +ببدأ منها تمام؟ قمت initial عشان بيجيها و هالي طب + +404 +00:25:31,550 --> 00:25:34,670 +عالم اللي هناك من أين بدي أبدأ؟ من a بدي أبدأ من + +405 +00:25:34,670 --> 00:25:39,190 +النقطة الثانية شباب ببدأ من a و أروح ل b مفروض ليش + +406 +00:25:39,190 --> 00:25:43,590 +VA نقص VA و بدي أسوي 0؟ VA نقص VP خلّيني أبدأ + +407 +00:25:43,590 --> 00:25:48,030 +الحساب هذه التيارات شباب اللي عملناها أنا اخترت + +408 +00:25:48,030 --> 00:25:52,870 +ثلاث تيارات عشوائية بقول لك designate currents in + +409 +00:26:03,480 --> 00:26:13,660 +هي تحكس أي واحد بس هي هي أطلع + +410 +00:26:13,660 --> 00:26:20,280 +على التيارات هل أي اثنين أنا فصلته لأ أي ثلاثة هي + +411 +00:26:20,280 --> 00:26:21,200 +الانفصالات + +412 +00:26:24,070 --> 00:26:26,850 +إذا كانت الشغلة عشوائية .. نرجع للعشوائية .. طبعا + +413 +00:26:26,850 --> 00:26:27,670 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +414 +00:26:27,670 --> 00:26:27,770 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +415 +00:26:27,770 --> 00:26:28,030 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +416 +00:26:28,030 --> 00:26:29,550 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +417 +00:26:29,550 --> 00:26:29,750 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +418 +00:26:29,750 --> 00:26:30,110 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +419 +00:26:30,110 --> 00:26:30,150 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +420 +00:26:30,150 --> 00:26:30,830 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +421 +00:26:30,830 --> 00:26:32,570 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +422 +00:26:32,570 --> 00:26:33,270 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +423 +00:26:33,270 --> 00:26:42,510 +اللي .. اللي .. اللي .. اللي .. اللي .. الل + +424 +00:26:49,550 --> 00:26:54,290 +A وB لأن بي واحدة بإيه الطيارة عندها بي جهان و + +425 +00:26:54,290 --> 00:27:01,730 +بيفصلش إذا برضه A وB زي بعض كم loop فيه ثلاثة + +426 +00:27:01,730 --> 00:27:05,970 +اللي فوق و اللي تحت و الكلية و الكلية loop مغلقة + +427 +00:27:05,970 --> 00:27:10,510 +صح ولا لأ إذا في عندي two junctions و بيدي three + +428 +00:27:10,510 --> 00:27:13,590 +loops لكن ال junctions عشان هم اثنين كم مرة بقدر + +429 +00:27:13,590 --> 00:27:17,710 +أستخدمهم؟ واحدة مرة واحدة لأن احنا يقولنا دائما أقل + +430 +00:27:17,710 --> 00:27:21,700 +من العدد بواحد عادة نشوف إن المعادلة الثانية هي هي + +431 +00:27:21,700 --> 00:27:27,280 +تمام solution to apply Kirchhoff's first rule to + +432 +00:27:27,280 --> 00:27:32,160 +the junction P we get طبعا ال junction P تشبهك مين + +433 +00:27:32,160 --> 00:27:38,360 +اللي ده هيعطينا معادلة؟ إيش الداخل لها؟ اللي داخل + +434 +00:27:38,360 --> 00:27:49,280 +I1 و I2، فح؟ إيش اللي خارج؟ I3 واضح؟ حاكم عمارة + +435 +00:27:49,280 --> 00:27:55,980 +هدول داخلين .. هدول داخلين واضحين و الخارج ده هو + +436 +00:27:55,980 --> 00:27:59,960 +باقي بقول I1 plus I2 plus I3 فسؤالي الآن ال + +437 +00:27:59,960 --> 00:28:06,080 +junction ايه؟ مين يديني معادلة؟ ال junction ايه؟ + +438 +00:28:06,080 --> 00:28:12,120 +I1 plus I3 إيش اللي داخلها؟ I3 I3 إيش الخارج؟ I1 + +439 +00:28:16,690 --> 00:28:20,170 +وحدة نفس المعادلة عشان كده مرة ثانية بيقولك + +440 +00:28:20,170 --> 00:28:22,970 +ماتغلبش حالك هتطلع بقعدك نفس المعادلة فخلاص + +441 +00:28:22,970 --> 00:28:26,710 +استخدمها مرة واحدة وخلاص واضح شباب؟ في حاجة مش + +442 +00:28:26,710 --> 00:28:31,650 +واضحة؟ مجرد الداخل صار خارج و الخارج صار داخل لما + +443 +00:28:31,650 --> 00:28:34,570 +غيرتي ال junction لكن المعادلة كمعادلة رياضية + +444 +00:28:34,570 --> 00:28:42,560 +ماتغيرتش طيب يلا الآن خلصنا من first طول طول عندي + +445 +00:28:42,560 --> 00:28:50,460 +معادلة أولها كان مجهول في عندي أول معادلة بثلاث + +446 +00:28:50,460 --> 00:28:56,760 +علامات هاي أول معادلة بثلاث علامات حلو now apply + +447 +00:28:56,760 --> 00:29:01,220 +and cater second rule to the upper loop traversing + +448 +00:29:01,220 --> 00:29:06,820 +it clockwise بده مش برضه clockwise من أين بده يبدأ + +449 +00:29:06,820 --> 00:29:15,240 +منها يلا من هنا جنيا إيش حاجة؟ سالب أربعة عشر لأن و + +450 +00:29:15,240 --> 00:29:21,180 +أنا ماشي هايحي معايا ولا بضّي بضّي إذا سالب أربعة + +451 +00:29:21,180 --> 00:29:27,420 +عشر زائد ده ستة I1 طب ليش و أنا لازم أنا + +452 +00:29:27,420 --> 00:29:36,400 +تشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيش + +453 +00:29:42,390 --> 00:29:51,150 +أي اثنين بالكم أنتم استجربت اهو استجرب دلوقت أي + +454 +00:29:51,150 --> 00:29:56,750 +واحد جرب لي لأ تتبعوا النقطة اللي بدنا نركز فيها + +455 +00:29:56,750 --> 00:30:01,100 +دلوقت مواطن غلط كثير شباب بصير عند الطلاب أنا طيار + +456 +00:30:01,100 --> 00:30:03,920 +دائما ببدأ عند junction و بدأ عند junction .. ببدأ + +457 +00:30:03,920 --> 00:30:06,940 +عند junction ..بالتالي أي واحد ببدأ عند A بخلص عند + +458 +00:30:06,940 --> 00:30:11,460 +B .. أي واحد ببدأ عند A بخلص عند B .. وبالتالي قبل + +459 +00:30:11,460 --> 00:30:16,360 +A أو بعد B أي واحد ماني جالك هيجيب I2 بيبدأ عند E و + +460 +00:30:16,360 --> 00:30:20,460 +بيخلص عند B بس من فوق صح أو لا؟ إذا هو بدأته I2 من + +461 +00:30:20,460 --> 00:30:25,980 +هيك هذا هو وبالتالي هذا إيش طيارة هو I2 I3 بيبدأ + +462 +00:30:25,980 --> 00:30:29,480 +من B و بيخلص عند E هيك وبالتالي هذه طيارة I3 لو + +463 +00:30:29,480 --> 00:30:33,800 +هنا في مقابلة I طيارة بيكون برضه I3 واضح؟ إذا بديش + +464 +00:30:33,800 --> 00:30:41,240 +حربت بالطيارات إذا قلنا سالب 14 قلنا سالب 4 فبصير + +465 +00:30:41,240 --> 00:30:43,960 +سالب 14 زائد 6 + +466 +00:31:15,100 --> 00:31:15,880 +10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10 + +467 +00:31:15,880 --> 00:31:15,980 +-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10 + +468 +00:31:15,980 --> 00:31:16,000 +-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10 + +469 +00:31:16,000 --> 00:31:23,390 +-10-10 سالب اثنين على ثلاثة ثم سفر هذه هي هذه عشرة + +470 +00:31:23,390 --> 00:31:26,570 +طيب + +471 +00:31:26,570 --> 00:31:35,010 +ما خلصتش معايا سالب ستة على واحد تمام سالب اثنين على + +472 +00:31:35,010 --> 00:31:40,750 +ثلاثة في مشكلة؟ العملية سهلة خمسة هذه بتلت معايا + +473 +00:31:40,750 --> 00:31:41,030 +الثلاثة + +474 +00:31:45,810 --> 00:31:47,870 +اللوب الكبيرة على شرطين ما هو اللوب الكبيرة إذا + +475 +00:31:47,870 --> 00:31:51,670 +بتحتاجها أكمل حاجة اللي أنت مداد هي اللي جيتكوا + +476 +00:31:51,670 --> 00:31:56,190 +يعني في فلسطين إذا بس أي واحد من الطرق أي واحد من + +477 +00:31:56,190 --> 00:32:00,010 +الطرق بالضبط ابتدأ يلا نعملها ابتدأ اشتغلها + +478 +00:32:00,010 --> 00:32:07,230 +اللوب الكبيرة سالب أربعة عشر سالب اثنين سالب + +479 +00:32:07,230 --> 00:32:11,790 +أربعة اثنين حاجة هي اللوب الكبيرة بتخلص + +480 +00:32:13,700 --> 00:32:16,300 +أنا بدي ثلاث معادلة ثانية خلصت .. هاي ثلاث معادلة + +481 +00:32:16,300 --> 00:32:19,260 +بتزنني .. حاجات هادية رياضية أنا ما بقدرش ا .. + +482 +00:32:19,260 --> 00:32:22,760 +يكفيني أحل المعادلة ولا لأ؟ بكفي .. هادي آية ثلاثة + +483 +00:32:22,760 --> 00:32:26,280 +شايفينها؟ يبقوها منها .. آية ثلاثة راح أحصل علي + +484 +00:32:26,280 --> 00:32:27,880 +واحد و آية اثنين .. و هنا واحد و آية اثنين .. بشر + +485 +00:32:27,880 --> 00:32:31,780 +عليها بطل عيجي بقى .. هاي تسع علامات .. ما بديش + +486 +00:32:31,780 --> 00:32:37,100 +لها العلامة .. عشان كده أنا طلعت اللاتي دي .. هو + +487 +00:32:37,100 --> 00:32:38,800 +ما نيسحط في شحتة .. مستغلب حلقة .. + +488 +00:32:41,700 --> 00:32:45,680 +لأ هو الطيارات اللي بدي .. اه طبعا لو بده .. لو + +489 +00:32:45,680 --> 00:32:48,000 +بده ال power غافل أنا بدي أديهم .. بس هو شوفوا في + +490 +00:32:48,000 --> 00:32:51,220 +الامتحانات احنا ما ننفندش الطالب عشان علامة يضيع + +491 +00:32:51,220 --> 00:32:55,220 +وقته، احنا مش بنسويق عشان نريح حالنا، أحد التيارات + +492 +00:32:55,220 --> 00:32:58,460 +الثلاثة دي اللي بنعطيها لكم، احنا بنحل الامتحان و + +493 +00:32:58,460 --> 00:33:02,190 +بنديكم أحد التيارات، بتبقى طلع عندكم مشكلة لأن + +494 +00:33:02,190 --> 00:33:05,170 +الوقت عندك ثلاث معادلات ثلاث مجاهيل عندك هتعود مباشر + +495 +00:33:05,170 --> 00:33:07,950 +فأنا بحل المشكلة طبعا أنت و أنا اللي اتشغلنا فيها + +496 +00:33:07,950 --> 00:33:11,150 +حتى جوه الصعوبة وأنت بتحولي وصولي في كتاب لأن هو + +497 +00:33:11,150 --> 00:33:13,770 +عندك ثلاثة مجاهيل و تأخد وجهك زي ما قلت لك تمام + +498 +00:33:13,770 --> 00:33:21,230 +دقايق حد جابري وكتاب تكتب معادلاتك تمام؟ عصب + +499 +00:33:21,230 --> 00:33:28,790 +المعادلة واحدة بتركيز تماما أي واحد تعتقد متها + +500 +00:33:28,790 --> 00:33:33,950 +صح لكن أي اثنين و أي ثلاثة طلعوا صوالي مش مشكلة اه + +501 +00:33:33,950 --> 00:33:39,570 +هي عكسها لكن مش مشكلة أي بيظلط أي واحد مننا يفصل + +502 +00:33:39,570 --> 00:33:43,030 +يعكس؟ لأ على التقالي كلنا ده بدينا نحكي عشان كده + +503 +00:33:43,030 --> 00:33:46,590 +مبارض يروح عند الجاشة مجسن سهل عشان كده يبقى ارتاح + +504 +00:33:46,590 --> 00:33:50,950 +لأن في عندك battery team مشاركات في الدائرة على كل + +505 +00:33:50,950 --> 00:33:52,830 +الأحوال احكي + +506 +00:33:54,940 --> 00:33:58,960 +لأ ما فيش طيار سالب بس هذا ال direction اه بس هو ال + +507 +00:33:58,960 --> 00:34:01,760 +scale of quantity الطيار عادي اللي لازم يكون موجبة + +508 +00:34:01,760 --> 00:34:04,360 +بقيمته و هذا السلب عشان يقولك احكي اتجاه ياما و + +509 +00:34:04,360 --> 00:34:09,480 +أنا أقوله الطبع التو حكي ناشر بقى اللي أنا أحكيه + +510 +00:34:09,480 --> 00:34:13,900 +لو حطينا اتجاهات غلط للطيار طيب السالب في الآخر ما + +511 +00:34:13,900 --> 00:34:16,640 +حل السؤال لازم نعدل اتجاه السيارة؟ لأ، تبقى لك حل + +512 +00:34:16,640 --> 00:34:20,200 +و خد سالبك بس، لما تعودى عن سيارة عوضه بسالب، زي + +513 +00:34:20,200 --> 00:34:23,620 +ما كانت بدي أعمل، تمام؟ عشان ما تجمدش حالك، خليك + +514 +00:34:23,620 --> 00:34:27,880 +زي ما أنت، كشمل الف ديريكشن للسؤال، خلاص أنت حاطب + +515 +00:34:27,880 --> 00:34:30,580 +ال direction تبقى كحالة، خليك رجال، أفضل ال field + +516 +00:34:30,580 --> 00:34:35,190 +تبعك، ما تغيرش، تمام؟ بس خد الرقم اللي بيجيك لتجد + +517 +00:34:35,190 --> 00:34:39,970 +الاختلاف الممكن بين الاثنين نبدأ في النقطة الأولى + +518 +00:34:39,970 --> 00:34:42,870 +ابدا من النقطة الأولى طبعا النقطة الأولى ممكن + +519 +00:34:42,870 --> 00:34:46,430 +يقول لك I ممكن يقول لك A أو B أو C أو D واضح فدائما + +520 +00:34:46,430 --> 00:34:48,750 +النقطة الأولى هي النقطة الثانية اللي إليها يعني + +521 +00:34:48,750 --> 00:34:51,590 +دائما تذكر Define الناقص V initial فالنقطة الأولى + +522 +00:34:51,590 --> 00:34:55,010 +من الثانية ابتدأ من النقطة الأولى وأنا كان هو + +523 +00:34:55,010 --> 00:35:00,760 +بيدرو VB ناقص VA من أين بدي أبدأ؟ من A إذا بيقول لي + +524 +00:35:00,760 --> 00:35:03,080 +to find the potential difference between two + +525 +00:35:03,080 --> 00:35:06,540 +points start at the initial point and traverse the + +526 +00:35:06,540 --> 00:35:09,000 +loop toward the final point اللي أنا ما ممكنش ترجع + +527 +00:35:09,000 --> 00:35:13,500 +نفس النقطة لأنه ما ممكنش VA-VA VA بيناخس VA إذا تبدأ + +528 +00:35:13,500 --> 00:35:17,100 +من هناك و تروح من هناك تسهل من ال B و بس بعد كيف + +529 +00:35:17,100 --> 00:35:20,060 +بيروح من A ل B؟ بيقول لك كل ما بدك تروح ممكن يكون + +530 +00:35:20,060 --> 00:35:23,740 +عدة طرق تروح فيهم اللي بدك إياه أسهل لك تروح خل + +531 +00:35:23,740 --> 00:35:28,940 +الثاني و الثالث تعمل test دوابك صح ولا لأ؟ خلينا + +532 +00:35:28,940 --> 00:35:32,400 +هدى هي هدى أنا نفسها وهي ال currents اللي عملناها + +533 +00:35:32,400 --> 00:35:34,980 +نفس التيارات و نفس الاتجاهات بالساعة و بالموجة + +534 +00:35:34,980 --> 00:35:37,920 +اللي بدي أخدهم تمام شباب فاكرين إيه بدي أبدأ عشان + +535 +00:35:37,920 --> 00:35:41,740 +أجيب VP نقص ليه طب من ايه لبيك كيف أمشي أمشي عدى + +536 +00:35:41,740 --> 00:35:45,680 +ولا أمشي تحت ولا أمشي فوق اللي بديه أسهل واحد + +537 +00:35:45,680 --> 00:35:50,690 +وينقولكم لتحت في عصر واحد شايف تلاحظ ده كم عنصر + +538 +00:35:50,690 --> 00:35:57,170 +فيه؟ عنصر واحد مفروض زائد اثنين I ثلاثة ولا لأ أنا + +539 +00:35:57,170 --> 00:36:02,570 +هاي حمل E ل D مشان ال I ثلاثة بيكون عكسي إذا بتكون + +540 +00:36:02,570 --> 00:36:06,110 +مفروض زائد اثنين I ثلاثة و I ثلاثة جديد أسفل + +541 +00:36:06,110 --> 00:36:08,570 +العالم معايا نقص واحد أمبير طلعت نقص اثنين point + +542 +00:36:08,570 --> 00:36:16,080 +أنا هنجرب بقول starting at point A we follow a path + +543 +00:36:16,080 --> 00:36:19,620 +till point B through the middle battery بقول أنا + +544 +00:36:19,620 --> 00:36:22,720 +ما أنا مش عال middle battery درجة العدلة طب و أنا + +545 +00:36:22,720 --> 00:36:27,800 +ماشي هيك حد أو أكيد بيداخده معاه إيه؟ موجبة تمام و + +546 +00:36:27,800 --> 00:36:33,020 +هدق ستة ستة I1 مظبوط أو لا؟ إذا بقول VP نقص VA + +547 +00:36:33,020 --> 00:36:35,840 +بدأت من ايه؟ قلت عشرة أو نقص ستة I1 I1 + +548 +00:36:35,840 --> 00:36:39,450 +كان عبارة عن اثنين فنقص اثنين volt و هذا جدش + +549 +00:36:39,450 --> 00:36:44,630 +الطيارة و أنا راح نقص اثنين volt طب يلا نطلع فوق + +550 +00:36:44,630 --> 00:36:50,450 +نطلع فوق لما نطلع فوق شباب عدد طيار أصله هيك إذا + +551 +00:36:50,450 --> 00:36:58,090 +سالب أربعة I اثنين سالب أربعة عشر أصبحت جدش I اثنين + +552 +00:36:58,090 --> 00:37:03,190 +ثلاثة ولا سالب ثلاثة سالب ثلاثة سالب سالب ثلاثة + +553 +00:37:03,190 --> 00:37:05,490 +زائد اثنين عشر نقص أربعة عشر + +554 +00:37:12,950 --> 00:37:16,790 +طبعا ما عرف أي حاجة لأن فيها عصر أقل زي هيك خلاص + +555 +00:37:16,790 --> 00:37:23,450 +ضربة واحدة بضربها فيها إيش إفصال شباب؟ قضية كيرشوف + +556 +00:37:23,450 --> 00:37:28,890 +عملية بتيجي سهلة مياد زي ما حكينا الصعوبة اللي في + +557 +00:37:28,890 --> 00:37:34,030 +صعوبة جبرية مش أكثر أو أقل والباقي بيكون في عدة + +558 +00:37:34,030 --> 00:37:38,890 +مهارة المعادلة تتكسب صح وأنا بقول المعادلة كل + +559 +00:37:38,890 --> 00:37:41,610 +معادلة لها ثلاث علامات لكن المعادلة لا تقسم على + +560 +00:37:41,610 --> 00:37:46,310 +اثنين بمعنى آخر المعاجلة لا بد يدسواك، ده يقولها صح، + +561 +00:37:46,310 --> 00:37:49,730 +لا يقولها غلط يعني فيها خمسة ترمات تمام فيهم غلط واحد + +562 +00:37:49,730 --> 00:37:53,410 +كله ترجع لماتك بدك يكون ممنوع تغلط لأن احنا في + +563 +00:37:53,410 --> 00:37:55,290 +المجارس كنا نقبل أنك تغلط هذه الشيء اللي أخدتها في + +564 +00:37:55,290 --> 00:37:58,150 +المجارس الآن ممنوع تغلط فهي بالكم اللي قلت لك إياها + +565 +00:37:58,150 --> 00:38:01,390 +واحد يقول لي الداخل و الخارج يغلطني فيها كمان إن + +566 +00:38:01,390 --> 00:38:04,250 +معادلات التيارات الداخل تساوي ما تقلش التيارات + +567 +00:38:04,250 --> 00:38:08,610 +الخارجة أو يعملي حاجة غ + +601 +00:40:36,740 --> 00:40:40,320 +مفتوحة ولا لأ أنا بسكرها مرتين لأ خلي المفتاح + +602 +00:40:40,320 --> 00:40:44,180 +لأحمر لا تحت لا فوق إذا تحت بسكر فيه loop مغلقة + +603 +00:40:44,180 --> 00:40:47,120 +بيصير ولا لأ و أين هو الـ loop المغلقة بيصير لو كان + +604 +00:40:47,120 --> 00:40:53,260 +المفتاح هنابصي تفريغ لو فاض المكثف .. بصي إيش؟ لأ + +605 +00:40:53,260 --> 00:40:56,680 +.. آه المكثف هو وصلت بين طرفين وصلك بطل الـ المكثف + +606 +00:40:56,680 --> 00:41:01,520 +وانتهينا منه .. لكن لو عملته هيك صار .. شحن .. + +607 +00:41:01,520 --> 00:41:04,460 +لأنه رابطه بالبطارية ولا لأ .. رابطه بالبطارية .. + +608 +00:41:04,460 --> 00:41:07,700 +بقول ليه .. the figure shows a capacitor initially + +609 +00:41:07,700 --> 00:41:11,560 +under charge .. في الأول فاضي Connected in series + +610 +00:41:11,560 --> 00:41:17,380 +with a resistor if the switch capital S is thrown + +611 +00:41:17,380 --> 00:41:22,680 +at point one, the capacitor will begin to charge, + +612 +00:41:22,940 --> 00:41:24,500 +creating a current in the circuit + +613 +00:41:28,230 --> 00:41:31,010 +بتنتقل يعني تحركت لو في الـ meter بتتحرك ولا + +614 +00:41:31,010 --> 00:41:35,490 +بتتحرك لإن هو هي تيار تحركت الشحنات هي تيار و الـ + +615 +00:41:35,490 --> 00:41:39,190 +meter إيش بيجيس؟ تيار إذا أول ما أبدي أشحن الطيار + +616 +00:41:39,190 --> 00:41:43,110 +بلعب على طول صار في عندك تيار بيجيس طيب يالا هاي + +617 +00:41:43,110 --> 00:41:49,150 +إيش صار هيك سكرنا مفتاحنا يالا هاي شحنات الموجة + +618 +00:41:49,150 --> 00:41:55,090 +بقى هاي التيار هتتجاه التيار طبعا + +619 +00:41:55,090 --> 00:42:02,510 +قطب السالب هو اللي بيجيبهم هه بنتشحن أن شحن .. تم .. + +620 +00:42:02,510 --> 00:42:06,850 +بيبقى بيشحن وقتيش لما يصير جهد الـ مكتب سواء جهد + +621 +00:42:06,850 --> 00:42:09,630 +البطارية بيبقى قطر في مجلة حركة الشحنات اللي + +622 +00:42:09,630 --> 00:42:12,490 +بيخليها تتحرك و أن في فرق جهد واحد بيجي في الآخر + +623 +00:42:12,490 --> 00:42:14,170 +خلاص بتجف واحنا أخذناها عدة مرات + +624 +00:42:17,780 --> 00:42:20,900 +Let I be the current in the circuit at some instant + +625 +00:42:20,900 --> 00:42:24,180 +during the charging process يقول إنك لو قاعد بتشحن + +626 +00:42:24,180 --> 00:42:27,240 +هتلاقي الطيارة عامله بيزيد بيزيد بيزيد قاعد شوية شوية + +627 +00:42:27,240 --> 00:42:31,880 +يقول خلي هذا الرمز I هو الطيارة عند لحظة ما بجست + +628 +00:42:31,880 --> 00:42:35,600 +بعد خمس دقايق قول جدش الطيارة طلعت قول قيمته I + +629 +00:42:36,460 --> 00:42:39,260 +during the charging process and small q be the + +630 +00:42:39,260 --> 00:42:42,580 +charge on the capacitor at the same instant و + +631 +00:42:42,580 --> 00:42:46,280 +الشحنات الإلكترونات افترضها small q تبقى from + +632 +00:42:46,280 --> 00:42:49,680 +Kirchhoff's second rule في لوب مغلق ولا مش لوب + +633 +00:42:49,680 --> 00:42:53,620 +مغلق يا شباب يالا نطبق كيرشوف الثانية كيرشوف + +634 +00:42:53,620 --> 00:42:57,980 +الثانية إيش بتقول؟ بدي أد منها يا شباب هد إيش خدها + +635 +00:42:57,980 --> 00:43:02,860 +معايا ولا ضدين؟ يعني زائد إبسلون صح ولا؟ زائد + +636 +00:43:02,860 --> 00:43:06,940 +إبسلون فالطيار هو الخط الأحمر بالنسبة لكم هذه + +637 +00:43:06,940 --> 00:43:09,540 +الشحنات الموجبة وحنا بيقول الطيار حركة الشحنات + +638 +00:43:09,540 --> 00:43:14,540 +الموجبة فالسالب أول في الأرض .. إيه؟ كده كانت + +639 +00:43:14,540 --> 00:43:20,600 +التعامل معاهم ما علمناش بقول هو أصلا علمنا شغل مهمة + +640 +00:43:20,600 --> 00:43:23,560 +إذا أنت ماشي من العالي للواطي سالب وإذا ماشي من + +641 +00:43:23,560 --> 00:43:26,600 +السالب للعالي موجب صح أنا ماشي من العالي للواطي + +642 +00:43:26,600 --> 00:43:29,580 +للمناطق العالية يعني سالب + +643 +00:43:33,480 --> 00:43:40,120 +Q على C إذا سالب Q على C بالانجليزية يعني الـ المكثف + +644 +00:43:40,120 --> 00:43:44,260 +عشان أريح حاجة أعمله زي البطارية زي البطارية لكن + +645 +00:43:44,260 --> 00:43:47,900 +هي المفضل واحد أنت طالع من عالي لواطي سالب من واطي + +646 +00:43:47,900 --> 00:43:50,800 +لعالي موجب وأنا أجيت ماشي من عالي لواطي ولا لأ + +647 +00:43:50,800 --> 00:43:54,220 +بحسب الاتجاه إذا سالب فرق الجود زي ما هذا فرق + +648 +00:43:54,220 --> 00:43:57,320 +الجود من قانون O هذا فرق الجود تبقى كبسط لما عرفته + +649 +00:43:57,320 --> 00:44:01,670 +من أول هي المعاجلة طب اكتبها لما هنا كتب هذه + +650 +00:44:01,670 --> 00:44:05,670 +المعادلة عن زمن معين شباب ما خلصتش لسه جالي خلص هذه + +651 +00:44:05,670 --> 00:44:09,050 +معادلة بدي أشتغل فيها جابر الجادة جالي فيها + +652 +00:44:09,050 --> 00:44:15,630 +علاقة بين I و Q I و Q بينهم علاقة I مش بيساوي DQ + +653 +00:44:15,630 --> 00:44:19,590 +على DT جالي طب أعوذ وشو مش بيصير معك بقولي بقى I + +654 +00:44:19,590 --> 00:44:24,190 +بيساوي DQ على DT هيك صارت المعادلة هذه يسموها طبعا + +655 +00:44:24,190 --> 00:44:28,150 +رياضيات معادلة تفاضلية مظبوط ولا لا؟ بس جالي هذه + +656 +00:44:28,150 --> 00:44:30,330 +ممكن تتحلها على كل حوار مش عارف أنا أحلها ولا لا + +657 +00:44:30,330 --> 00:44:34,270 +آه هين أحلها جالي الوقت بها معادلة تفاضلية عشان + +658 +00:44:34,270 --> 00:44:39,210 +هذه .. ما أنا أنتو مين بيأخذ كمعادلة تفاضلية؟ حد؟ + +659 +00:44:39,210 --> 00:44:42,930 +هذه في آس أوضة زي ما أنا عاد .. محتوطة في الـ مخدمة و + +660 +00:44:42,930 --> 00:44:46,130 +ليس محتوطة فاحطيهم المخدمة وبعدين بيرموها لكوا + +661 +00:44:46,130 --> 00:44:49,610 +مجيبوها لكوا يكوش بهم مرة يعني هذه قصة كانت بردر + +662 +00:44:49,610 --> 00:44:52,190 +عليها الشغل كثير طبعا homogeneous or non homogenous + +663 +00:44:52,190 --> 00:44:56,870 +مش مشكلة طبعا الـ homogeneous عشان ما تقولوش احنا + +664 +00:44:56,870 --> 00:44:59,830 +قاعدين نحكي شغلات مفهوم لما تكون هذه من الـ صفر + +665 +00:44:59,830 --> 00:45:02,230 +بصينا homogeneous لما تكون هذه الـ صفر بيسموها + +666 +00:45:02,230 --> 00:45:05,290 +homogeneous مش قضية علم كامل يعني هاي الشباب في + +667 +00:45:05,290 --> 00:45:09,710 +سنة تلتة ولا لا مش عارفون يوصلوا في مساق كامل اسمه + +668 +00:45:09,710 --> 00:45:12,290 +differential equation طبعا يعني رياضياتي بياخدوا + +669 +00:45:12,290 --> 00:45:16,630 +مساقين اسمها differential equation بس كيف يتعلموا + +670 +00:45:16,630 --> 00:45:19,650 +يحلوا المعادلات التفاضلية علم واسع جدا طبعا هذه + +671 +00:45:19,650 --> 00:45:23,170 +علم واسع جدا مرتبط عليها كثير من العلوم الهندسة + +672 +00:45:23,170 --> 00:45:25,010 +الـ كهربائية كلها كيف يحلوا المعادلات التفاضلية + +673 +00:45:25,010 --> 00:45:29,110 +الهندسة الميكانيكية كلها نفس القضية في كيف + +674 +00:45:29,110 --> 00:45:32,710 +يتعاملوا معاها المعادلات التفاضلية كثير مهمة لأنه + +675 +00:45:32,710 --> 00:45:37,100 +في الآخر الشغل بيصير ما زال I و DQ على DT إذا اجت + +676 +00:45:37,100 --> 00:45:39,460 +المعادلة التفاضلية وإذا طبعا simple harmonic + +677 +00:45:39,460 --> 00:45:42,740 +motion إحنا أخذنا نوع آخر من المعادلات التفاضلية + +678 +00:45:42,740 --> 00:45:46,480 +فعلم المعادلات التفاضلية علم واسع جدا وقواعد كثير + +679 +00:45:46,480 --> 00:45:49,520 +احنا تعاون الفيزيا برضه بنعطيهم إياه بصورة متقدمة + +680 +00:45:49,520 --> 00:45:52,720 +جدا لازم يتعلموا عشان يتعاملوا مع الفيزيا ففي + +681 +00:45:52,720 --> 00:45:57,300 +عندنا مساقين بنعطيه برضه differential equation في + +682 +00:45:57,300 --> 00:45:59,900 +virtual differential equation مساق كامل فلازم برضه + +683 +00:45:59,900 --> 00:46:02,760 +يتعامل معاه و الـ virtual اللي يعرف ordinary بيقدر + +684 +00:46:02,760 --> 00:46:06,640 +يعرف الـ virtual بصورة مش خضية تمام هادرطبتها أنا + +685 +00:46:06,640 --> 00:46:10,960 +سببها .. شوفوا أنتو الاشتقاق مش كثير معضل لكن في + +686 +00:46:10,960 --> 00:46:13,820 +الآخر أنا بيهم الطالب الاشتقاق يكون فاهمه اللي + +687 +00:46:13,820 --> 00:46:16,500 +بتسويناه يعني و دائما الاشتقاق يكون شغل اللي أنا + +688 +00:46:16,500 --> 00:46:19,940 +عارفة يعني من مستوى الطالب الواحد إيش عامل؟ يقولك + +689 +00:46:19,940 --> 00:46:24,580 +أنت ربط بها المعادلة هذه DQ و DT فأنت على شجة قال DQ + +690 +00:46:24,580 --> 00:46:29,960 +و DT فهذه DQ وحطها هناك قال DQ في الـ ار DQ وهذه + +691 +00:46:29,960 --> 00:46:34,220 +R و C أضربها مع بعض تمام يعني هذه لو يترتبتها أنا + +692 +00:46:34,220 --> 00:46:38,720 +كيف بدي أسوي؟ بدي أقول .. خليني أقول أحط هناك + +693 +00:46:38,720 --> 00:46:46,680 +epsilon ناقص DQ في الـ ار بتساوي Q على C في الـ DT صح + +694 +00:46:46,680 --> 00:46:50,760 +ولا لأ يا شباب؟ ده أعمل الـ take أنا غلط؟ + +695 +00:46:58,440 --> 00:47:04,450 +هيك عملناها بعدين جاء وكتبها فصرت DQ على E في C + +696 +00:47:04,450 --> 00:47:07,650 +ناقص Q بساوية DT على الـ عرصى جالي عشان بس مجرد أن + +697 +00:47:07,650 --> 00:47:13,850 +أنا أتعامل معاها بالفعل إيش I بساوية Q على T لأ I + +698 +00:47:13,850 --> 00:47:17,310 +بساوي DQ على DT حاجة لما يكون في عندك شغلها ثابتة + +699 +00:47:17,310 --> 00:47:19,950 +وشغلها زي إيه زي لما أنا مجردش أنا مجرد السرعة + +700 +00:47:19,950 --> 00:47:23,610 +بساوي مستفعة زمان لما تكون السرعة ثابتة صح فـ I + +701 +00:47:23,610 --> 00:47:27,690 +بساوي DQ على DT هجيت لك كامل الطرفين شباب كامل + +702 +00:47:27,690 --> 00:47:33,810 +الطرفين هذه تعاون أنتو بتعرفوها خانتها كامل بقدر + +703 +00:47:33,810 --> 00:47:43,390 +أسمي هذه U CY ناقص الـ Q بالثوابت يالا طيب معقول + +704 +00:47:43,390 --> 00:47:48,210 +واحدة واحدة هذه ثابت ولا ما ثابت سالب DQ بالثوابت + +705 +00:47:48,210 --> 00:47:52,650 +DU ولا لأ حلو + +706 +00:47:52,650 --> 00:47:58,190 +إذا DQ سالب DU و اللي تحت U DU على U لأن الـ U إذا + +707 +00:47:58,190 --> 00:48:01,570 +هذه اتكاملت طب وهذه جالي هذه أرصيد خليها برا + +708 +00:48:01,570 --> 00:48:08,170 +نستكمل الـ DT T سهلة إذا صارت طيب لأن إذا صارت هذه + +709 +00:48:08,170 --> 00:48:15,130 +من الـ U اللي هي بالسالب طبعا خليني أقول Q ناقص C + +710 +00:48:15,130 --> 00:48:20,670 +في إبسلون عشان السالب من صفر لـ Q كيف يتعمل هذا؟ + +711 +00:48:20,670 --> 00:48:23,150 +لأن + +712 +00:48:24,640 --> 00:48:31,480 +الـ X من A لـ B كيف بيعملها؟ + +713 +00:48:31,480 --> 00:48:37,480 +مش B على A فنفس القضية جالي يصعد عندك لـ CY ناقص Q + +714 +00:48:37,480 --> 00:48:42,300 +على CY لما Q أصبح 0 بيصير هذه صح ولا لأ؟ بيصير ناقص + +715 +00:48:42,300 --> 00:48:45,720 +T على أقل C طيب كيف بيجيب هذه؟ جالي خد الـ + +716 +00:48:45,720 --> 00:48:49,780 +exponential الطرفين أخدتوا هدف كقص ده ولا فعلا؟ + +717 +00:48:49,780 --> 00:48:52,980 +فده خد الـ exponential لما ياخد الـ exponential إيش + +718 +00:48:52,980 --> 00:48:59,510 +بيصير ليه؟ وهذه ماذا بيصير exponential وقت + +719 +00:48:59,510 --> 00:49:03,510 +المعادلة أنا + +720 +00:49:03,510 --> 00:49:09,870 +كنت بكتر ثقها هذه المعادلة Q بيساوي C في Y واحد + +721 +00:49:09,870 --> 00:49:16,410 +ناقص E تبوى ناقص D على عرصى هذا سالب + +722 +00:49:16,410 --> 00:49:23,510 +هين بين هين بس عشان جنب الـ .. الهدى مش مبين فأولا + +723 +00:49:23,510 --> 00:49:27,690 +مبين هاليوم فيه سالب .. فيه سالب آه لأ أنا مش + +724 +00:49:27,690 --> 00:49:30,370 +شايفه من داخلي يعني هو من داخلي جامعي .. فيه سالب + +725 +00:49:30,370 --> 00:49:34,570 +تمام طلعوا شداد إيش اللي طلع معايا الطلع معايا + +726 +00:49:34,570 --> 00:49:41,530 +خلينا نطلع E تبقى و 0 جد إيش E تبقى و ناقص مالا نهاية + +727 +00:49:41,530 --> 00:49:42,030 +جد إيش + +728 +00:49:44,930 --> 00:49:50,330 +عادي واحد عمله نهاية واحد عمله نهاية لأن E هادي + +729 +00:49:50,330 --> 00:49:54,870 +بتساوي واحد على E تبارك ماله نهاية صح؟ وماذا بيجدى + +730 +00:49:54,870 --> 00:50:03,110 +إيه؟ اتفت مصر اتفت مصر اتفت مصر الكلام اتفت + +731 +00:50:03,110 --> 00:50:03,610 +مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر + +732 +00:50:03,610 --> 00:50:04,550 +مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر + +733 +00:50:04,550 --> 00:50:10,450 +اتفت مصر اتفت مصر اتفت + +734 +00:50:10,450 --> 00:50:17,220 +مصر آهي كانت طيب لما تجهزت مالا نهاية يعني بعد مدة + +735 +00:50:17,220 --> 00:50:20,720 +طويلة أنتو بيقولوا ناقص مالا نهاية كده السرقة بقى + +736 +00:50:20,720 --> 00:50:25,680 +هاد راحت بيصيب Q بيصيب C في Y آه لكي Q بيصيب C في + +737 +00:50:25,680 --> 00:50:30,440 +V و V تبعات الـ كباسيتر صارت بساوي V تبعات البطارية + +738 +00:50:30,440 --> 00:50:34,580 +ولا لأ وأنتو قولتولكم ولا وقتيش بتوقف الحركة لما + +739 +00:50:34,580 --> 00:50:37,220 +صير جودي البطارية بيصيب جودي الـ كباسيتر إذا هاد + +740 +00:50:37,220 --> 00:50:42,370 +الكلام صحيح تمام جاب الشحنات وأمالنا أنه صحيح + +741 +00:50:42,370 --> 00:50:44,710 +بقول طب جيب الطيار بقول لك إيه الطيار بدي أقول إيه + +742 +00:50:44,710 --> 00:50:48,750 +بساوي DQ على DT بقى بتفضلوا تجيبولي I شباب يالا + +743 +00:50:48,750 --> 00:50:49,250 +نجيب I + +744 +00:50:53,490 --> 00:50:55,770 +where E is the base of the natural logarithm، بما + +745 +00:50:55,770 --> 00:50:59,590 +أنها بتعرفوه، هذا احنا هين نحطه، مرات بنفكر إنه + +746 +00:50:59,590 --> 00:51:01,650 +لسه على الطالب ما أخذهوش، بس نحن اللي بدوه في الـ + +747 +00:51:01,650 --> 00:51:05,410 +calculus في البدايات، تمام، to find the current as + +748 +00:51:05,410 --> 00:51:07,230 +a function of time, we differentiate the last + +749 +00:51:07,230 --> 00:51:09,210 +equation، مين الفضل اللي هذه؟ + +750 +00:51:13,220 --> 00:51:21,500 +مش على A سالب A في E إذا D على DX E تبقى من ناقص A + +751 +00:51:21,500 --> 00:51:24,980 +في الـ X بيساوي سالب A E تبقى من ناقص A في الـ X صح + +752 +00:51:24,980 --> 00:51:29,520 +أو لا تمام بيقولي فاضل عشان عندك expression هنيان + +753 +00:51:29,520 --> 00:51:37,510 +فاضل I بيتساوي إذا كانت تفضلت نرجع نفضلها الـ Q + +754 +00:51:37,510 --> 00:51:43,390 +بيساوي Y في C واحد ناقص إيه طبعا ناقص T على RC + +755 +00:51:43,390 --> 00:51:49,410 +هيك جمال الصادق هادي في هادي في هادي اشتقها إيش + +756 +00:51:49,410 --> 00:51:54,630 +صفر هجت هادي اشتقها مش بيجي سالب وهنا فيه سالب + +757 +00:51:54,630 --> 00:52:01,210 +موجب C في Y بيجي RC Y على R مظبوط أنا لأ إيه تبول + +758 +00:52:01,210 --> 00:52:05,170 +نقصتي على RC زي ما هي .. هيك طلعت .. حلو؟ ليه يجي + +759 +00:52:05,170 --> 00:52:08,070 +يشوف إيش اللي حصل معايا .. نرجع بقول أطلع عليه + +760 +00:52:08,070 --> 00:52:11,510 +إيش بدي يصيب معك .. لما تيبت 300 جد إيش الطيارة + +761 +00:52:21,380 --> 00:52:24,940 +عشان كده في الـ معمل الأميتر بيبدأ عالي و بيبدأ طايل + +762 +00:52:24,940 --> 00:52:30,620 +طايل ومعك ولا لا في الآخر بيوقف بيعتبره zero إذا + +763 +00:52:30,620 --> 00:52:33,720 +الـ طيار بيبدأ سريع بيبدأ عالي و بيبدأ ينزل ينزل و + +764 +00:52:33,720 --> 00:52:38,640 +يطلع وبعدين بيبدأ بطيء هذا مشوف ليش هذا جال + +765 +00:52:38,640 --> 00:52:41,880 +التطلع الشباب جال هذا إيش وحدته + +766 +00:52:46,300 --> 00:52:50,600 +و هادي .. طيب قوم على .. vote على قوم إيش .. برضه + +767 +00:52:50,600 --> 00:52:53,040 +أمبير و هادي أمبير .. جالسة معناته .. هذا ممنوع على + +768 +00:52:53,040 --> 00:52:56,820 +كل وحدات .. ممنوع على كل وحدات طيب هادي ثكن إذا هادي + +769 +00:52:56,820 --> 00:52:59,320 +غصب على أمبى الكون ثكنت .. إذا جاله + +801 +00:55:26,570 --> 00:55:29,890 +بتاخدوا سفر ونقطة بعيدة، نبدأ من نقطة السفر هنا، + +802 +00:55:29,890 --> 00:55:33,170 +اتفقنا لما تكون سفر واحد نقص واحد ببدأ من الـ0، و + +803 +00:55:33,170 --> 00:55:37,650 +في الآخر بعلش، لو يدفد أرسم شباب هيك بتصير، هاي + +804 +00:55:37,650 --> 00:55:42,290 +الرسمة، ببدأ من السفر الشحنة بتبدأ من الـ zero وبعد + +805 +00:55:42,290 --> 00:55:45,850 +كده بتنتلي بعد ما ينتلي يجيب تعالى تلاتي يوم رابع + +806 +00:55:45,850 --> 00:55:48,790 +يوم بيجي شحنة زيها ده بيظل زي ما هو عشان كده بسمها + +807 +00:55:48,790 --> 00:55:52,910 +ده asymptote مظبوط ولا لأ؟ هاي .. هاي أول queue طب + +808 +00:55:52,910 --> 00:55:55,350 +الطيارة .. الطيارة غالبا كيب السفر .. سفر ايش + +809 +00:55:55,350 --> 00:56:00,250 +بيصير فيه؟ سفر .. sorry أفسر على أعلى وبعدين بيجيب + +810 +00:56:00,250 --> 00:56:04,010 +.. هيك بيصير .. هاي الطيارة بيبدأ من I not و I not + +811 +00:56:04,010 --> 00:56:09,710 +هي دي هي قيمة الطيارة أنت بتسوي صفر يعني لأنه + +812 +00:56:09,710 --> 00:56:14,090 +اتبهّر صفر واحد اذا I not بتسوي epsilon على R تمام + +813 +00:56:14,090 --> 00:56:22,070 +هذه هي رسماتنا في شيء هنا هذه مهمة جدا إن شاء الله + +814 +00:56:22,070 --> 00:56:24,970 +في المحاضرة الجاية ما تبقى لأن الباقية المعلومات + +815 +00:56:24,970 --> 00:56:27,410 +كتير مهمة بنكمل المرة الجاية diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/XBRxd51DgpE_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/XBRxd51DgpE_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..8e6125a02aad6f82fcdbe23d7d55c15be1732ac6 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/XBRxd51DgpE_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2530, "start": 9.78, "end": 25.3, "text": "تمام نبدأ بسم الله الرحمن الرحيم نستأنف ما تبقى من ال chapter السادس عنوان ال section اللى هنشرحه هو culture rules احنا عرفنا المراهدين ان الدواء القعبائية بتكون اما موصلة 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سالب", "probability": 0.9933268229166666}, {"start": 293.42, "end": 293.96, "word": " إذن", "probability": 0.7076822916666666}, {"start": 293.96, "end": 294.14, "word": " وانا", "probability": 0.759765625}, {"start": 294.14, "end": 294.36, "word": " ماشي", "probability": 0.9567057291666666}, {"start": 294.36, "end": 294.72, "word": " بتعامل", "probability": 0.8485107421875}, {"start": 294.72, "end": 294.94, "word": " معها", "probability": 0.892333984375}, {"start": 294.94, "end": 295.12, "word": " طبعا", "probability": 0.94921875}, {"start": 295.12, "end": 295.28, "word": " احنا", "probability": 0.716796875}, {"start": 295.28, "end": 295.88, "word": " هنكررها", "probability": 0.666650390625}, {"start": 295.88, "end": 296.66, "word": " كتير", "probability": 0.9070638020833334}], "temperature": 1.0}, {"id": 14, "seek": 31943, "start": 297.91, "end": 319.43, "text": "في الأول هنا اللي حكيته بيقولي the first rule is an application of the conservation of charge principle اه حكينا طب second one يابا بيقول هذا مبدأ conservation of energy انت هذا جاي مراح و رجع ماكانتش الطاقة الكلية في الآخر سفر هذا مبدأ طبعا هل الجهود اللي علاقة بالطاقة و لا علاقة؟", "tokens": [41185, 16247, 12610, 34105, 13672, 1829, 11331, 4117, 36081, 3224, 4724, 1829, 39648, 1829, 264, 700, 4978, 307, 364, 3861, 295, 264, 16185, 295, 4602, 8665, 1975, 3224, 11331, 4117, 1829, 8315, 23032, 3555, 1150, 472, 7251, 16758, 995, 4724, 1829, 39648, 23758, 3714, 44510, 10721, 16185, 295, 2281, 16472, 2655, 23758, 10874, 47302, 3714, 23557, 5016, 4032, 12602, 7435, 3615, 19446, 41361, 2655, 8592, 41950, 995, 28671, 33251, 1211, 10632, 8978, 6024, 95, 34740, 8608, 5172, 2288, 23758, 3714, 44510, 10721, 23032, 3555, 3615, 995, 8032, 1211, 25724, 3224, 23328, 13672, 1829, 11203, 995, 28671, 20666, 9566, 995, 28671, 4032, 20193, 11203, 995, 28671, 22807], "avg_logprob": -0.3644859941206246, "compression_ratio": 1.7224489795918367, "no_speech_prob": 0.0, "words": [{"start": 297.91, "end": 298.09, "word": "في", 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0.48406982421875}, {"start": 313.03, "end": 313.29, "word": " الطاقة", "probability": 0.9503580729166666}, {"start": 313.29, "end": 313.73, "word": " الكلية", "probability": 0.74609375}, {"start": 313.73, "end": 314.19, "word": " في", "probability": 0.82177734375}, {"start": 314.19, "end": 314.47, "word": " الآخر", "probability": 0.8167317708333334}, {"start": 314.47, "end": 315.69, "word": " سفر", "probability": 0.8115234375}, {"start": 315.69, "end": 315.99, "word": " هذا", "probability": 0.278564453125}, {"start": 315.99, "end": 316.45, "word": " مبدأ", "probability": 0.9625651041666666}, {"start": 316.45, "end": 316.97, "word": " طبعا", "probability": 0.9495849609375}, {"start": 316.97, "end": 317.61, "word": " هل", "probability": 0.5091552734375}, {"start": 317.61, "end": 318.07, "word": " الجهود", "probability": 0.8408203125}, {"start": 318.07, "end": 318.23, "word": " اللي", "probability": 0.59173583984375}, {"start": 318.23, "end": 318.51, "word": " علاقة", "probability": 0.9396158854166666}, {"start": 318.51, "end": 318.83, "word": " بالطاقة", "probability": 0.9898681640625}, {"start": 318.83, "end": 318.97, "word": " و", "probability": 0.6435546875}, {"start": 318.97, "end": 318.99, "word": " لا", "probability": 0.76806640625}, {"start": 318.99, "end": 319.43, "word": " علاقة؟", "probability": 0.73504638671875}], "temperature": 1.0}, {"id": 15, "seek": 34352, "start": 320.12, "end": 343.52, "text": "فهي طاقة فانهي جواد ما هو طاقة اذا لما يقولي انه فق جواد بالنقطتين نفس النقطتين بالساعة و الساعة .. ما هو منطقي لأنه متعامل مع طاقة تمام بيقولي to apply the second rule عشان انت تشتغل على ال second rule هي أثناء المعذرة ال first rule سهلة سهلة كتير لأنه مجرد الداخل مثلا ولا الخارج to apply the second rule we should know the following two remarks", "tokens": [5172, 3224, 1829, 23032, 995, 28671, 6156, 7649, 3224, 1829, 10874, 14407, 3215, 19446, 31439, 23032, 995, 28671, 1975, 15730, 5296, 15042, 7251, 39648, 1829, 16472, 3224, 6156, 4587, 10874, 14407, 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" مجرد", "probability": 0.9644775390625}, {"start": 338.46, "end": 338.78, "word": " الداخل", "probability": 0.98486328125}, {"start": 338.78, "end": 339.0, "word": " مثلا", "probability": 0.473876953125}, {"start": 339.0, "end": 339.06, "word": " ولا", "probability": 0.26953125}, {"start": 339.06, "end": 339.46, "word": " الخارج", "probability": 0.98193359375}, {"start": 339.46, "end": 340.32, "word": " to", "probability": 0.83251953125}, {"start": 340.32, "end": 340.78, "word": " apply", "probability": 0.9462890625}, {"start": 340.78, "end": 340.98, "word": " the", "probability": 0.92431640625}, {"start": 340.98, "end": 341.26, "word": " second", "probability": 0.921875}, {"start": 341.26, "end": 341.48, "word": " rule", "probability": 0.93896484375}, {"start": 341.48, "end": 341.64, "word": " we", "probability": 0.77880859375}, {"start": 341.64, "end": 341.92, "word": " should", "probability": 0.97900390625}, {"start": 341.92, "end": 342.18, "word": " know", "probability": 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بيكون مالو إيش دعوة هو في الآخر هيطلع صالب و هيطلع صالب ماليش دعوة فيه تمام the direction of the currents are assigned arbitrary سرعة عشوائية من دون مفاكر جالك تمام as shown in the figure as it is clear from the circuit there is one loop with no junctions", "tokens": [10721, 1829, 9154, 33251, 9307, 3555, 11331, 9566, 11296, 7251, 2304, 9957, 41950, 1829, 9640, 3660, 4032, 16490, 1211, 33546, 12602, 47302, 5016, 11331, 6027, 3224, 9122, 33911, 41950, 1829, 9640, 3660, 4724, 1829, 30544, 3714, 6027, 2407, 11933, 1829, 8592, 11778, 3615, 2407, 3660, 31439, 8978, 6024, 95, 34740, 39896, 9566, 1211, 3615, 20328, 6027, 3555, 4032, 39896, 9566, 1211, 3615, 20328, 6027, 3555, 3714, 6027, 1829, 8592, 11778, 3615, 2407, 3660, 8978, 3224, 46811, 10943, 264, 3513, 295, 264, 30110, 366, 13279, 23211, 8608, 2288, 27884, 6225, 8592, 2407, 16373, 10632, 9154, 11778, 11536, 3714, 5172, 995, 37983, 10874, 6027, 4117, 46811, 10943, 382, 4898, 294, 264, 2573, 382, 309, 307, 1850, 490, 264, 9048, 456, 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نطلع فوق نطلع فوق لما نطلع فوق شباب عدد طيار اصله هيك اذا سالب اربع I اتنين سالب اربعة عاش اصبحت جدش I اتنين تلاته ولا سالب تلاته سالب تلاته سالب سالب تلاته زائد اتن عاش نقص اربعة عاش", "tokens": [5172, 1863, 4587, 9381, 1975, 2655, 1863, 9957, 5962, 4032, 23758, 10874, 3215, 8592, 41950, 8315, 10632, 4032, 1975, 8315, 12602, 39319, 8717, 4587, 9381, 1975, 2655, 1863, 9957, 5962, 23032, 3555, 7251, 15040, 8717, 9566, 1211, 3615, 6156, 30543, 8717, 9566, 1211, 3615, 6156, 30543, 5296, 15042, 8717, 9566, 1211, 3615, 6156, 30543, 13412, 3555, 16758, 6225, 3215, 3215, 23032, 1829, 9640, 1975, 36520, 3224, 39896, 4117, 1975, 15730, 8608, 6027, 3555, 1975, 25513, 3615, 286, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 1975, 25513, 27884, 6225, 33599, 1975, 9381, 3555, 33753, 10874, 3215, 8592, 286, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3224, 49429, 8608, 6027, 3555, 6055, 1211, 9307, 3224, 8608, 6027, 3555, 6055, 1211, 9307, 3224, 8608, 6027, 3555, 8608, 6027, 3555, 6055, 1211, 9307, 3224, 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المعادل الأولى + +16 +00:01:09,650 --> 00:01:13,950 +بصورة بسيطة بيحكي ان الطيار لما ييجي بالدوينجسيم + +17 +00:01:14,970 --> 00:01:19,650 +مفروض لو هو عشران جسم أربعة التاني إيش بيكون؟ إذا + +18 +00:01:19,650 --> 00:01:23,130 +هو أربعة و ستة عشر هي قاعدة مش قاعدة هي أفضل تمام؟ + +19 +00:01:23,130 --> 00:01:26,450 +بيبقى بيبقى صيغة فجال the sum of the currents + +20 +00:01:26,450 --> 00:01:30,870 +entering any junction must equal the sum of the + +21 +00:01:30,870 --> 00:01:33,910 +currents leaving that junction طبعا طيالة ما يدخل + +22 +00:01:33,910 --> 00:01:38,230 +بعود بتوزع فبيكون كإنه داخل النقطة و بعدين طلع من + +23 +00:01:38,230 --> 00:01:41,590 +النقطة فاللي داخل عن النقطة بيساوي اللي خارج من + +24 +00:01:41,590 --> 00:01:46,670 +النقطة النقطة هذه يسموها junctionحاجتها عندي + +25 +00:01:46,670 --> 00:01:50,070 +النقطة هذه انت هذه النقطة الطيارية في طيار مش + +26 +00:01:50,070 --> 00:01:54,050 +بيتوزع بيتوزع لهذا الطيار وهذا الطيار بقدر اقول اي + +27 +00:01:54,050 --> 00:01:55,390 +واحد بيساوي اي اتنين اتنين اتنين اتنين اتنين اتنين + +28 +00:01:55,390 --> 00:01:55,630 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +29 +00:01:55,630 --> 00:01:57,750 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +30 +00:01:57,750 --> 00:01:58,810 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +31 +00:01:58,810 --> 00:02:00,610 +اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين + +32 +00:02:00,610 --> 00:02:06,930 +اتنين اتنين اتنتمام مش هو junction a junction is + +33 +00:02:06,930 --> 00:02:11,790 +any point هي نقطة in a circuit where a current can + +34 +00:02:11,790 --> 00:02:19,320 +split اللي عندها تيار بينقسم بيتجسم إلى أي ذاكطبعا + +35 +00:02:19,320 --> 00:02:23,060 +عندي هدا هي نقطة واضحة ان الطيار عندها انجسم الى + +36 +00:02:23,060 --> 00:02:26,060 +جسمين وبالتالي بقول الطيار الأصل اللى داخل بيساوي + +37 +00:02:26,060 --> 00:02:31,020 +الطيارين اللى خارجين وهدى نظرية كتير سهلة ومعروفة + +38 +00:02:31,020 --> 00:02:35,540 +وبيدهش شغل طبعا من وين أصلها مبدأ conservation of + +39 +00:02:35,540 --> 00:02:38,320 +charge ان ال charge is conserved معناه طبعا عند ال + +40 +00:02:38,320 --> 00:02:41,540 +charge انجسمت مجموعة يبقى بيساوي المجموعة الأولانى + +41 +00:02:41,540 --> 00:02:44,640 +مبدأ conservation of charge القاعدة التانية ايش + +42 +00:02:44,640 --> 00:02:48,610 +بقولبقول الـ algebraic sum of the potential + +43 +00:02:48,610 --> 00:02:52,530 +differences across all the elements around any + +44 +00:02:52,530 --> 00:02:56,410 +loop must be zero ايش يعني؟ بقول لو كان عندك شغل + +45 +00:02:56,410 --> 00:03:05,050 +زي هيك انا مراهديك زي هيك اظن و + +46 +00:03:05,050 --> 00:03:07,970 +يبقى فرقة جهود بين a و b هنا في عندك epsilon و هنا + +47 +00:03:07,970 --> 00:03:14,250 +في IR small r زي ما عملناهامش انا بقول فرق الجهد + +48 +00:03:14,250 --> 00:03:18,870 +بين a و b عندي شغلتين epsilon و IR صح ولا لأ + +49 +00:03:18,870 --> 00:03:27,430 +بحسبهم طيب va ناقص va ايش توقع الجواب يكون zero هي + +50 +00:03:27,430 --> 00:03:30,470 +قاعد كشف التانية va ناقص va + +51 +00:03:34,970 --> 00:03:43,190 +لازم اللوب يكون مغلق لازم اللوب يكون مغلق لازم + +52 +00:03:43,190 --> 00:03:43,650 +اللوب يكون مغلق لازم اللوب يكون مغلق لازم اللوب + +53 +00:03:43,650 --> 00:03:43,650 +يكون مغلق لازم اللوب يكون مغلق لازم اللوب يكون + +54 +00:03:43,650 --> 00:03:44,130 +مغلق لازم اللوب يكون مغلق لازم اللوب يكون مغلق + +55 +00:03:44,130 --> 00:03:45,710 +لازم اللوب يكون مغلق لازم اللوب يكون مغلق لازم + +56 +00:03:45,710 --> 00:03:47,210 +اللوب يكون مغلق لازم اللوب يكون مغلق لازم اللوب + +57 +00:03:47,210 --> 00:03:47,210 +يكون مغلق لازم اللوب يكون مغلق لازم اللوب يكون + +58 +00:03:47,210 --> 00:03:47,950 +مغلق لازم اللوب يكون مغلق لازم اللوب يكون مغلق + +59 +00:03:47,950 --> 00:03:52,570 +لازم اللوب يكونطيب و انت باشي هيكون عندك مشكلة + +60 +00:03:52,570 --> 00:03:56,570 +عندك فضطريات و عندك مقاومات و انت بتجمع فرخ جهد + +61 +00:03:56,570 --> 00:03:58,810 +فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد + +62 +00:03:58,810 --> 00:03:58,890 +هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و + +63 +00:03:58,890 --> 00:03:59,450 +فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد + +64 +00:03:59,450 --> 00:03:59,450 +هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و + +65 +00:03:59,450 --> 00:04:00,850 +فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد + +66 +00:04:00,850 --> 00:04:06,590 +هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و + +67 +00:04:06,590 --> 00:04:11,300 +فرخ جهد هنا و فرخ جو ال scholars جامعهم جبري و ال + +68 +00:04:11,300 --> 00:04:14,460 +scholars هدول عشان فرق جهود ممكن يكون positive او + +69 +00:04:14,460 --> 00:04:17,560 +ممكن يكون negative تبع اللي ايه و ايه الشغل المره + +70 +00:04:17,560 --> 00:04:21,260 +دي حكينا التالي شباب و انا طالع من واطي لعالي بكسب + +71 +00:04:21,260 --> 00:04:24,820 +طاقة ولا بفقد طاقة يعني الفرق في الطاقة موجب ولا + +72 +00:04:24,820 --> 00:04:29,400 +سالب؟ موجب و انا نازل؟ سالب كيف بدي اعملها؟ بقول + +73 +00:04:29,400 --> 00:04:33,900 +لو كنت انا ماشي من الواطي للعالي بيكون فرق الجهود + +74 +00:04:33,900 --> 00:04:37,940 +موجبولو كنت ماشي من العالى للواطى بيكون الفرق سالب + +75 +00:04:37,940 --> 00:04:42,800 +صح ولا لأ؟ العالى والواطى بيقابلها في الكهربية + +76 +00:04:42,800 --> 00:04:46,480 +السالب والموجب صحيح ولا لأ؟ السالب واطى والموجب + +77 +00:04:46,480 --> 00:04:49,880 +عالى إذا أنا ماشي من السالب للموجب معناته هو الفرق + +78 +00:04:49,880 --> 00:04:53,420 +موجب وإذا ماشي من الموجب للسالب بيكون الفرق سالب + +79 +00:04:53,420 --> 00:04:58,090 +إذن وانا ماشي بتعامل معها طبعا احنا هنكررها كتيرفي + +80 +00:04:58,090 --> 00:05:01,890 +الأول هنا اللي حكيته بيقولي the first rule is an + +81 +00:05:01,890 --> 00:05:04,070 +application of the conservation of charge + +82 +00:05:04,070 --> 00:05:08,290 +principle اه حكينا طب second one يابا بيقول هذا + +83 +00:05:08,290 --> 00:05:11,570 +مبدأ conservation of energy انت هذا جاي مراح و رجع + +84 +00:05:11,570 --> 00:05:16,970 +ماكانتش الطاقة الكلية في الآخر سفر هذا مبدأ طبعا + +85 +00:05:16,970 --> 00:05:20,980 +هل الجهود اللي علاقة بالطاقة و لا علاقة؟فهي طاقة + +86 +00:05:20,980 --> 00:05:24,200 +فانهي جواد ما هو طاقة اذا لما يقولي انه فق جواد + +87 +00:05:24,200 --> 00:05:26,040 +بالنقطتين نفس النقطتين بالساعة و الساعة .. ما هو + +88 +00:05:26,040 --> 00:05:31,060 +منطقي لأنه متعامل مع طاقة تمام بيقولي to apply the + +89 +00:05:31,060 --> 00:05:34,000 +second rule عشان انت تشتغل على ال second rule هي + +90 +00:05:34,000 --> 00:05:38,140 +أثناء المعذرة ال first rule سهلة سهلة كتير لأنه + +91 +00:05:38,140 --> 00:05:41,260 +مجرد الداخل مثلا ولا الخارج to apply the second + +92 +00:05:41,260 --> 00:05:44,580 +rule we should know the following two remarksأيش + +93 +00:05:44,580 --> 00:05:47,480 +في عندي؟ بتركز أنا على المقارنة وبتركز على + +94 +00:05:47,480 --> 00:05:50,720 +البطارية since the current through a resistor + +95 +00:05:50,720 --> 00:05:53,840 +moves from the end of higher potential to that of + +96 +00:05:53,840 --> 00:05:58,160 +lower potential هي عندي مقارنة و هي التيام تقولولي + +97 +00:05:58,160 --> 00:06:01,980 +وين الجهد العالي و وين الجهد الواقعي هالجام؟ انا + +98 +00:06:01,980 --> 00:06:04,360 +ماعرفش الجهد العالي و الجهد الواقعي الآن إذا أنا + +99 +00:06:04,360 --> 00:06:08,520 +ماشي هي من عالي لواقعي سالبصح ولا لأ؟ إذا أنا ماشي + +100 +00:06:08,520 --> 00:06:11,400 +.. هاي ال initial point وهي ال final point، منتهي + +101 +00:06:11,400 --> 00:06:14,780 +الفرق سالب، إذا أنا ماشي من هال لها، هذا السلب + +102 +00:06:14,780 --> 00:06:17,640 +وهذا الموجب، أنا مازل من واقعي للعالي، بكل موجب، + +103 +00:06:17,640 --> 00:06:20,380 +يعني هذي زي ما انتوا حاكيتولي الموجب والسلب وضعوا، + +104 +00:06:20,380 --> 00:06:24,080 +من وضعوا اتجاه التيار؟ لو المقاومة مافيش فيها + +105 +00:06:24,080 --> 00:06:27,480 +تيار، بقدر أعرف موجبها من سلبها؟ لأاذا لازم انا + +106 +00:06:27,480 --> 00:06:31,360 +اكون في طيار بيقول ليه the change in potential + +107 +00:06:31,360 --> 00:06:36,800 +through any resistor is negative for a move in the + +108 +00:06:36,800 --> 00:06:39,380 +direction of the current اذا انت ماشي من اتجاه + +109 +00:06:39,380 --> 00:06:43,240 +الطيار بتكون ناشي من العالي لو واطي بيكون الفرخ + +110 +00:06:43,240 --> 00:06:51,410 +سالب تمام؟ هيك هذا موجبانا هيك ماشي موجب اعكس ايش + +111 +00:06:51,410 --> 00:06:57,410 +بيكون سالب صري انا عملت العكس هيك سالب وهيك موجب + +112 +00:06:57,410 --> 00:07:01,150 +مع التياب بيكون سالب وهيك بيكون موجب طبعا وانا + +113 +00:07:01,150 --> 00:07:03,730 +ماشي هيك بكون ماشي من العلي للواطي شباب فالفرق + +114 +00:07:03,730 --> 00:07:06,830 +سالب لما بكون ماشي من واطي لعلي بيكون الفرق موجب + +115 +00:07:07,040 --> 00:07:09,920 +اذا انا طبعا كيف بدي امشي هيك ولا هيك اقدم نعرف + +116 +00:07:09,920 --> 00:07:13,000 +لان انا بدي ابدأ من النقطة و ارجع نفس النقطة هيك + +117 +00:07:13,000 --> 00:07:15,580 +بدي ابدأ من النقطة و ارجع نفس النقطة في عندي خرينة + +118 +00:07:15,580 --> 00:07:18,820 +لا بمشي هيك ولا بمشي هيك وبالتالي كيف بمشي انا انا + +119 +00:07:18,820 --> 00:07:23,370 +هحدده و انا بحلف المسائل تمامThe change in + +120 +00:07:23,370 --> 00:07:27,290 +potential through any resistor is negative for a + +121 +00:07:27,290 --> 00:07:30,850 +move in the direction of the current and positive + +122 +00:07:30,850 --> 00:07:33,330 +for a move opposite to the direction of the + +123 +00:07:33,330 --> 00:07:36,950 +current.هذه واضحة، مظبوطة ولا شبال؟ واضحة، وانا + +124 +00:07:36,950 --> 00:07:40,210 +ماشي مع التيار، إذا التيار معايا، بحط الفرق سالب، + +125 +00:07:40,210 --> 00:07:44,010 +إذا التيار عكسي، بحط الفرق موجب، و الفرق من قانون + +126 +00:07:44,010 --> 00:07:47,610 +Ohm I في R، لأنه انا بدي فرق جهد، ففرق الجهد حسب + +127 +00:07:47,610 --> 00:07:52,380 +قانون Ohm بسوي I في Rالبطارية موجبها وسالبها + +128 +00:07:52,380 --> 00:07:55,480 +معروفين ولا مش معروفين؟ معروفين بالتالي إذا أنا + +129 +00:07:55,480 --> 00:07:58,220 +ماشي من السالب للموجب الفرخ موجب إذا ماشي من + +130 +00:07:58,220 --> 00:08:01,860 +الموجب لسالب الفرخ سالب وبقنعها شباب بالقوة + +131 +00:08:01,860 --> 00:08:06,320 +الدافعة الكهربية القوة الدافعة الكهربية ليه سميتها + +132 +00:08:06,320 --> 00:08:09,960 +أنا قوة دافعة كهربية؟ عشان ترفع الشحنات من وين + +133 +00:08:09,960 --> 00:08:12,920 +لوين؟ من الواطن للعالي إذا بينقل في اتجاه دي اما + +134 +00:08:12,920 --> 00:08:15,240 +بيكون من السالب للموجب + +135 +00:08:17,560 --> 00:08:21,420 +هذه اتجاهها هجيت بقول the change in potential + +136 +00:08:21,420 --> 00:08:25,100 +through an ideal battery طبعا كلمة ideal يعني + +137 +00:08:25,100 --> 00:08:29,720 +مالاش مقاومة داخلية is positive for a move from + +138 +00:08:29,720 --> 00:08:31,640 +the negative to the positive terminal of the + +139 +00:08:31,640 --> 00:08:34,600 +battery and negative for a move in the opposite + +140 +00:08:34,600 --> 00:08:41,230 +direction يعني هيك بيكون موجب و أنا عاكسبكون سالب + +141 +00:08:41,230 --> 00:08:45,850 +إذا نفيه إما plus epsilon أو minus epsilon إذا أنا + +142 +00:08:45,850 --> 00:08:50,010 +ماشي هيك بيكون plus epsilon امشي بالعكس بيكون + +143 +00:08:50,010 --> 00:08:53,590 +minus epsilon إذا أنا ماشي مع epsilon بيكون الفرق + +144 +00:08:53,590 --> 00:08:57,510 +موجب إذا أنا ماشي عكس epsilon بكون الفرق سالب + +145 +00:08:57,510 --> 00:09:00,460 +واضحين يا شباب؟هذه القاعدتين اللي بدي اشتغل معهم + +146 +00:09:00,460 --> 00:09:03,780 +وانا جاعد بجاعد بجمع فرق جهود لان انا بجمع فرق + +147 +00:09:03,780 --> 00:09:06,560 +جهود وفرق الجهود ممكن يكون موجب وممكن يكون سالب كم + +148 +00:09:06,560 --> 00:09:09,560 +يبقى ضعفه حسب القاعدة انها دول وانا ماشي الطيار + +149 +00:09:09,560 --> 00:09:12,480 +معايا بيكون سالب فرق الجهود تبع المقاومة إذا + +150 +00:09:12,480 --> 00:09:18,260 +الطيار عكسي بيكون موجب البطارية إذا معايا إبسلون + +151 +00:09:18,260 --> 00:09:22,320 +تبح معايا بيكون موجب إذا إبسلون معايا معايا عكسي + +152 +00:09:22,320 --> 00:09:26,220 +بيكون سالب هذه القاعدتين اللي بدي أمشي عليهم تمام + +153 +00:09:28,210 --> 00:09:32,650 +كيرشيفز رول قال مشكلته انه انا بدي معادلات بعدد + +154 +00:09:32,650 --> 00:09:35,850 +عدد المجاهي الشباب يعني انا في الآخر انا ايش بدي + +155 +00:09:35,850 --> 00:09:38,750 +من الدائرة بيقولي اودي دي التيارات او اودي دي ال + +156 +00:09:38,750 --> 00:09:42,910 +power يعني في الآخر في الآخر بدي اشوف كل مقامة كان + +157 +00:09:42,910 --> 00:09:47,740 +فيار دخلهاأكم انبير دخلها طيب هذه التجارة مجهولة + +158 +00:09:47,740 --> 00:09:50,500 +عشان احلها بدي معادلات عندي تلت مجهولة كان معادلة + +159 +00:09:50,500 --> 00:09:54,840 +بالزمن تلت اذا انا مشكلتي اني بدي معادلات جبرية + +160 +00:09:54,840 --> 00:09:57,720 +كيف اجيبها قاللي قاعدة take kershaw بيجيبولك + +161 +00:09:57,720 --> 00:10:01,140 +المعادلات كيف احل بقول strategy for solving a + +162 +00:10:01,140 --> 00:10:05,080 +problem using kershaw's rule اول حاجة طبعا هذه + +163 +00:10:05,080 --> 00:10:08,280 +دايما بتكون معطية لكم لان الرسم انا برسمهابقول + +164 +00:10:08,280 --> 00:10:11,180 +اضغط على circuit diagram ارسم ال circuit و ال + +165 +00:10:11,180 --> 00:10:14,200 +circuit في كل الأسئلة بتكون مرسومة and label all + +166 +00:10:14,200 --> 00:10:17,660 +quantities known and unknown و كل ال quantities ال + +167 +00:10:17,660 --> 00:10:22,080 +I's و ال R's و ال Y's ادّوها رموز يبسون واحد يبسون + +168 +00:10:22,080 --> 00:10:25,680 +اتنين يبسون تلاتة I واحد I اتنين I تلاتة R واحد R + +169 +00:10:25,680 --> 00:10:29,820 +اتنين R تلاتة ادّي رموز على هذه الأساس تمام خلصت و + +170 +00:10:29,820 --> 00:10:32,240 +غالبا برضه هذه الشيء اللي بتحطيلك يعني بقولك R + +171 +00:10:32,240 --> 00:10:34,440 +واحد بيسوي كذا R اتنين بيسوي كذا يبسون واحد بيسوي + +172 +00:10:34,440 --> 00:10:39,260 +كذا لكن اللي مش موجودة اديها رموز انت من عندكحاجتش + +173 +00:10:39,260 --> 00:10:42,940 +بيقولي assign a direction for the current in each + +174 +00:10:42,940 --> 00:10:46,920 +part of the circuit بيبقى تحدد اتجاهات للتيارات + +175 +00:10:46,920 --> 00:10:50,440 +تمام؟ بيحط اتجاهات لها كيف تحطها؟ بيقولي don't + +176 +00:10:50,440 --> 00:10:54,200 +bother if your guess of current direction is + +177 +00:10:54,200 --> 00:10:57,300 +incorrect the result will have a negative value + +178 +00:10:57,300 --> 00:11:00,640 +بيقولي لما انت تعمل guessing تخمين ماتخليش مخاكش + +179 +00:11:00,640 --> 00:11:05,030 +طليعني ماتخليش ولا نص جيجا مخاكش كيف ال direction + +180 +00:11:05,030 --> 00:11:08,470 +تحطه خلّي جانا مكرساصر يحط ال direction مكرساصر + +181 +00:11:08,470 --> 00:11:09,990 +يحط ال direction مكرساصر يحط ال direction مكرساصر + +182 +00:11:09,990 --> 00:11:10,110 +يحط ال direction مكرساصر يحط ال direction مكرساصر + +183 +00:11:10,110 --> 00:11:10,810 +يحط ال direction مكرساصر يحط ال direction مكرساصر + +184 +00:11:10,810 --> 00:11:11,150 +يحط ال direction مكرساصر يحط ال direction مكرساصر + +185 +00:11:11,150 --> 00:11:11,530 +يحط ال direction مكرساصر يحط ال direction مكرساصر + +186 +00:11:11,530 --> 00:11:14,030 +يحط ال direction مكرساصر يحط ال direction مكرساصر + +187 +00:11:14,030 --> 00:11:20,030 +يحط ال direction مكرساصر يحط ال direction مكرساصر + +188 +00:11:20,030 --> 00:11:23,550 +يحط ال direction مكرساصر يحط ال direction مكر + +189 +00:11:31,300 --> 00:11:35,480 +تمام بعد كده ايش بيقول لك الان خلاص انت جاهز تطبق + +190 +00:11:35,480 --> 00:11:39,420 +قواعد كيرتشوف apply the first Kirchhoff's rule to + +191 +00:11:39,420 --> 00:11:42,260 +any junction in the circuit ال junctions بيبين و + +192 +00:11:42,260 --> 00:11:45,830 +قد ما يشوفوا ممكن في ال junctionsبقولي تطبق + +193 +00:11:45,830 --> 00:11:49,010 +المعادلة تشوف الداخل عليها و الخارج تشوفها بيقول + +194 +00:11:49,010 --> 00:11:53,530 +in general this rule is used one time if you are + +195 +00:11:53,530 --> 00:11:56,190 +than the number of junctions in the circuit بيقول + +196 +00:11:56,190 --> 00:11:59,010 +لو عندك خمسة junctions هذه أكتر من أربع مرات بتفرج + +197 +00:11:59,010 --> 00:12:01,830 +تستخدمها لو كان عندك تلاتة junctions أكتر مرة + +198 +00:12:01,830 --> 00:12:04,990 +بتستخدمها ماتنتين يعني مرة أقل من عدد ال junctions + +199 +00:12:04,990 --> 00:12:07,890 +ليش؟ بيقول المرة اللي وراها هتديك نفس المعادلة و + +200 +00:12:07,890 --> 00:12:10,790 +أنت في النهاية بدك معادلات يعني لو عندك two + +201 +00:12:10,790 --> 00:12:15,080 +junctions أكتر مرة بديك تطبقها؟ مرةلو بدي اطبخ + +202 +00:12:15,080 --> 00:12:18,060 +التانية اقوله اطبخ هتطلع نفس المعادلة وانت بدي + +203 +00:12:18,060 --> 00:12:20,480 +اتعيد معادلات ولا بدي في الآخر معادلات هتحل + +204 +00:12:20,480 --> 00:12:24,020 +المجاهد؟ ممكنش اتعيد معادلات نفس المعادلات تمام + +205 +00:12:24,020 --> 00:12:28,020 +الان عشان انا اطبخ القاعدة التانية اللي كيرشوف ايش + +206 +00:12:28,020 --> 00:12:32,500 +بده بقول choose any closed loop in the network ال + +207 +00:12:32,500 --> 00:12:34,900 +circuit او ال network الشبكة ممكن يكون فيها اكتر + +208 +00:12:34,900 --> 00:12:38,730 +من loop شبابانت ممكن تختار واحدة من هال loops اي + +209 +00:12:38,730 --> 00:12:42,930 +دائرة مسكرة او loop مسكرة هذه تتعظم اللوب يتطبق + +210 +00:12:42,930 --> 00:12:46,670 +عليها قاعدة كيرشوف طيب and designate a direction + +211 +00:12:46,670 --> 00:12:50,670 +clockwise or counter clockwise to traverse the + +212 +00:12:50,670 --> 00:12:54,090 +loop انت بفي تلف انت بتقول نقطة فبدي ارجع للنقطة + +213 +00:12:54,090 --> 00:12:57,830 +طب كيف بدي ارجع للنقطة؟ بدي تمشي مشوار تمشي هيك و + +214 +00:12:57,830 --> 00:13:01,490 +لا تمشي هيك انت حر بس انت قولي كيف انت ماشييعني لا + +215 +00:13:01,490 --> 00:13:05,070 +تمشي clockwise لا تمشي counter clockwise عشان وانت + +216 +00:13:05,070 --> 00:13:08,730 +ماشي ساعتها تجيب ال positive و ال negative فانت + +217 +00:13:08,730 --> 00:13:12,310 +بيبقى تقولي كيف انت تمشي على ال loop بحيث تبدأ من + +218 +00:13:12,310 --> 00:13:15,570 +النقطة و ترجع لنفس النقطة و في عندك خيارين لا + +219 +00:13:15,570 --> 00:13:20,590 +clockwise لا counter clockwise مافيش خيار تالت و + +220 +00:13:20,590 --> 00:13:23,410 +لما تقلب من clockwise و counter clockwise ايش اللي + +221 +00:13:23,410 --> 00:13:27,400 +بيفرق شباب؟ و كأنك دربت المعادلة في سالبيعني واحد + +222 +00:13:27,400 --> 00:13:29,720 +شغال clockwise و واحد يزميل و يقول انا بدي counter + +223 +00:13:29,720 --> 00:13:33,340 +clockwise ايش بيفرجوا على بعض؟ و ليش؟ وكأنك جربت + +224 +00:13:33,340 --> 00:13:36,020 +المعادلة بسالب و المعادلة اللي بتعمل معادلة بسالب + +225 +00:13:36,020 --> 00:13:40,000 +بيفرجش عندك؟ لأ بقى نفس القضية تمام حاجات ايش + +226 +00:13:40,000 --> 00:13:44,240 +بقولك؟ starting from one point in the loop go + +227 +00:13:44,240 --> 00:13:47,500 +around the loop in the designated direction sum + +228 +00:13:47,500 --> 00:13:50,000 +the potential differences across all the elements + +229 +00:13:50,000 --> 00:13:53,200 +of the chosen loop to zero ونبدأ من النقطة ومشي + +230 +00:13:53,690 --> 00:13:56,910 +طبعا انت ماشي هتجيب ال elements الشيء ال elements + +231 +00:13:56,910 --> 00:14:01,490 +بطاريات مقاومات ممكن يكون مكاففات ممكن يكون ملفات + +232 +00:14:01,490 --> 00:14:06,350 +وانت ماشي كل أنصر بتمر عليه يجيب فرق جهده ويحطه + +233 +00:14:06,350 --> 00:14:08,970 +الانصر اللي وراه يجيب فرق جهده يحطه ولكن جوله + +234 +00:14:08,970 --> 00:14:12,270 +بيساوي زيرو حيث انك بتحط فرق الجهد ممكن يكون + +235 +00:14:12,270 --> 00:14:14,330 +positive وممكن يكون negative وبالتالي بيكتشف + +236 +00:14:14,330 --> 00:14:17,450 +استخدام القاعدة اللي حاكلها ان ال positive او ال + +237 +00:14:17,450 --> 00:14:22,910 +negative بدك تاخدها في عين الاعتبارفي فعل هذا يجب + +238 +00:14:22,910 --> 00:14:26,330 +أن تلاحظ الاسئلة المقاومة التي قد تحدثت قبلها اللي + +239 +00:14:26,330 --> 00:14:29,810 +هو المقاومة إذا ماشي مع التيار فرق جهدها إيش + +240 +00:14:29,810 --> 00:14:34,630 +بيكون؟ سالب إذا ماشي ضد الطيار فرق جهدها موجة + +241 +00:14:34,630 --> 00:14:39,170 +البطارية إذا ماشي مع الإنف ففرق جهدها إيش بيكون؟ + +242 +00:14:40,280 --> 00:14:43,880 +موجب وإذا كنت ماشي ضد ال إمث سالب هيقول توري مارف + +243 +00:14:43,880 --> 00:14:49,260 +وهي بعيدها the potential difference across an emf + +244 +00:14:49,260 --> 00:14:54,880 +يعني بطارية is positive epsilon if it traversed + +245 +00:14:54,880 --> 00:14:57,540 +from the negative to the positive terminalمظبوط + +246 +00:14:57,540 --> 00:15:01,700 +and minus epsilon if it traverse in opposite .. in + +247 +00:15:01,700 --> 00:15:04,740 +the opposite direction طب المقاومة the potential + +248 +00:15:04,740 --> 00:15:08,400 +difference across any resistor is minus I في الار + +249 +00:15:08,400 --> 00:15:12,060 +if the resistor is traverse in the direction of + +250 +00:15:12,060 --> 00:15:15,740 +the assumed current and plus I في الار if it + +251 +00:15:15,740 --> 00:15:19,720 +traverse in the opposite direction يا عجبثم بعدين + +252 +00:15:19,720 --> 00:15:22,940 +بيقولي اخدت انت loop هاي صحيح عندك معادلة تانية + +253 +00:15:22,940 --> 00:15:25,880 +عندك تلت مجهيل بيدك كمه ال loop عشان بيدك كمه تلت + +254 +00:15:25,880 --> 00:15:30,460 +معادلة بيقولي choose another loop and repeat the + +255 +00:15:30,460 --> 00:15:35,840 +fifth step to get a different equation relating + +256 +00:15:35,840 --> 00:15:38,180 +the unknown quantities continue until you have as + +257 +00:15:38,180 --> 00:15:41,860 +many equations as unknowns عندك خمس مجهيل بيدك خمس + +258 +00:15:41,860 --> 00:15:44,940 +معادلات عندك ست مجهيل بيدك ست معادلاتبتشتغل على + +259 +00:15:44,940 --> 00:15:47,540 +هذا الأساس طبعا غالبا بيكونوش خمسة أو ستة يعني، + +260 +00:15:47,540 --> 00:15:51,480 +غالبا تلاتة بيكونوا So if these equations + +261 +00:15:51,480 --> 00:15:53,440 +symmetrically correspond to four values حلو خلاص + +262 +00:15:53,440 --> 00:15:56,120 +تكونوا عن تحت المسألة طبعا احنا اللي بيهمنا + +263 +00:15:56,120 --> 00:15:59,640 +المعادلات بيهمناش الحل الجابري بيهمنا المعادلات + +264 +00:15:59,640 --> 00:16:02,840 +وإذا بتحلوا في الكتاب هتشوفوا إنه لو السؤال بدو + +265 +00:16:02,840 --> 00:16:07,740 +عشر دقايق طول مدية حل بيكون دقيقتين بس عشان تحط + +266 +00:16:07,740 --> 00:16:11,520 +المعادلات و تمام دقايق بس تحلي الجبرتمام؟ احنا مش + +267 +00:16:11,520 --> 00:16:14,320 +جبر .. مش لما حصلت جبر وبالتالي انا في الامتحان + +268 +00:16:14,320 --> 00:16:18,500 +ببعت .. ببعت عليه 2.9 علامات و ببعت على 8 دقايق + +269 +00:16:18,500 --> 00:16:21,520 +علامة واحدة يعني حط التبات معادلة صح بتاخد 9 من 10 + +270 +00:16:21,520 --> 00:16:26,760 +و حل تاخد علامة في الآخر ماتفرجش معايا حل الجبر هو + +271 +00:16:26,760 --> 00:16:30,680 +بياخد المدة طويلة لإنه بيصي فيه مشكلة تمام؟ نبدأ + +272 +00:16:30,680 --> 00:16:35,700 +الحل نشوف أول سؤال سؤال سهل جدا بيقول لي in the + +273 +00:16:35,700 --> 00:16:39,200 +circuit shownFind the current in the circuit and + +274 +00:16:39,200 --> 00:16:42,160 +the power delivered to each resistor and the power + +275 +00:16:42,160 --> 00:16:45,740 +delivered by the 12 volt battery بيقول لي في + +276 +00:16:45,740 --> 00:16:50,080 +التيار اوجد التيار و اوجد الفور على كل المقاومة + +277 +00:16:50,080 --> 00:16:54,380 +هذه سهلة اتيت بس مجلة عشان نتدرب حالنا كيف نطبق + +278 +00:16:54,380 --> 00:16:57,400 +القاعدة التانية اللي كده تشوف في هذه ايه ايه ايه + +279 +00:16:57,400 --> 00:17:02,760 +ايه ايه ايه ايهكم junctions فيه؟ ولا junctions + +280 +00:17:02,760 --> 00:17:06,420 +الطيارة وين بنقسم؟ فيه بنقسم عندنا؟ وين بتفرع؟ + +281 +00:17:06,420 --> 00:17:09,700 +بتفرعش، لإن مافيش junctions عشان كده أنا بدى + +282 +00:17:09,700 --> 00:17:11,740 +أستخدم مثلا القعادة التانية لكرشه، في الأولى ماهاش + +283 +00:17:11,740 --> 00:17:15,320 +لازمة، مافيش junctions ربّق عليها إيش بدهوا؟ بدهوا + +284 +00:17:15,320 --> 00:17:18,740 +الطيارة الوحيد قيمته I، بدهوش، بعدين بدهوا ال + +285 +00:17:18,740 --> 00:17:21,920 +power، ماعرفت I، بقدر أجيب ال power ولا لأ، مش أي + +286 +00:17:21,920 --> 00:17:25,200 +تربيع في الارطيب بيدّو كمان الفوار تبعت ال 12 volt + +287 +00:17:25,200 --> 00:17:28,700 +ماهي I فى V والطيار معروف يعنى لو أجيبت I بدون + +288 +00:17:28,700 --> 00:17:32,460 +مفاطنعش بتطلع الفوار تبعت ال 12 volt تمام .. خلينا + +289 +00:17:32,460 --> 00:17:32,740 +نجرب + +290 +00:17:37,370 --> 00:17:39,950 +Solution بيقولي the direction of the currents are + +291 +00:17:39,950 --> 00:17:42,630 +assigned arbitrarily بيقولي ال direction اللي انا + +292 +00:17:42,630 --> 00:17:46,790 +حاطه .. انا حاطه جلم الرصاص حاطه هيك مافكرتش فيه + +293 +00:17:46,790 --> 00:17:48,890 +كيف طبعا واحد بيطلع و بيقولك هذه المفروض يكون + +294 +00:17:48,890 --> 00:17:52,650 +معاكوس لإن هو ال 12 بتغلب ال 6 صح ولا لأ طبعا هذه + +295 +00:17:52,650 --> 00:17:55,670 +دائرة سهلة ان ممكن تعمل interesting سهل لكن في بعض + +296 +00:17:55,670 --> 00:17:59,330 +الدوار اللي ممكن تعمل بسهولة بتالي هو يعلنك من هال + +297 +00:17:59,330 --> 00:18:05,520 +gate حط ال direction غلطأي من الكاتب حطها يمين + +298 +00:18:05,520 --> 00:18:08,240 +الطيارة و خلاص رايح حاله كيف الطيارة بيكون مالو + +299 +00:18:08,240 --> 00:18:10,980 +إيش دعوة هو في الآخر هيطلع صالب و هيطلع صالب ماليش + +300 +00:18:10,980 --> 00:18:14,500 +دعوة فيه تمام the direction of the currents are + +301 +00:18:14,500 --> 00:18:17,580 +assigned arbitrary سرعة عشوائية من دون مفاكر جالك + +302 +00:18:17,580 --> 00:18:21,280 +تمام as shown in the figure as it is clear from + +303 +00:18:21,280 --> 00:18:23,680 +the circuit there is one loop with no junctions + +304 +00:18:32,010 --> 00:18:36,710 +عشان واحد الاجابات بس عشان كده نعطيها و نروحها + +305 +00:18:36,710 --> 00:18:41,670 +تمام now we apply cashers second rule ال first + +306 +00:18:41,670 --> 00:18:46,390 +rule بدي اطبقها في ال junction تمام to the loop + +307 +00:18:46,390 --> 00:18:48,470 +and you traverse the loop in the clockwise + +308 +00:18:48,470 --> 00:18:51,490 +direction شباب بدي امشي مع قريب الساعة يعني هيك + +309 +00:18:51,490 --> 00:18:54,940 +بدي امشيهذه العلامة بتحطوها عشان اعرف انا اتبعكم و + +310 +00:18:54,940 --> 00:18:57,580 +انتوا ماشيين و تقولولي ايه انا رايحين ماء اقارب + +311 +00:18:57,580 --> 00:19:00,680 +الساعة ولا جدع اقارب الساعة تمام، من اين بدي ابدأ؟ + +312 +00:19:00,680 --> 00:19:03,660 +بدي ابدأ من هذه النقطة السفرة، شايفينها؟ بدي امشي + +313 +00:19:03,660 --> 00:19:06,460 +ماء اقارب الساعة، هاجيت بدي اروح وين؟ انزل تحت ولا + +314 +00:19:06,460 --> 00:19:11,520 +اروح يمين؟ بدي اروح يمين، صح او لا؟ وانتوا ماشي + +315 +00:19:11,520 --> 00:19:16,500 +واحدة واحدة، شباب، هاه؟ هاجيت ايش معايا؟ الـ6 + +316 +00:19:16,500 --> 00:19:21,220 +معايا ولا برضيه؟ موجب ولا سالب؟ موجبإذن هي أول + +317 +00:19:21,220 --> 00:19:29,180 +واحدة جابالكي بحط على طول epsilon one بالموجب طبعا + +318 +00:19:29,180 --> 00:19:32,700 +و انا وصلت وصلت هناك إيش بعد كده بدي أصير؟ بدي + +319 +00:19:32,700 --> 00:19:37,220 +أنزل صح ولا لأ؟ لما بدي أنزل هال gate إيه بدي يصير + +320 +00:19:37,220 --> 00:19:44,680 +معايا؟ طيار و أنا ماشي مع بعض سالب تمانية ا او + +321 +00:19:44,680 --> 00:19:50,160 +سالب خلينا نقول i ثمان واحد و لا لأ؟ بعدين بعوض؟ + +322 +00:19:51,690 --> 00:19:55,230 +كمان؟ شوفتوا كيف يوحي بيكون الشغل معاه ولا ضده؟ هو + +323 +00:19:55,230 --> 00:19:58,010 +اللي حد بيقول هو بده روح اصلا انا محدد ان واحد + +324 +00:19:58,010 --> 00:20:02,270 +اكله كويس اذا صار اتجاهي معروف و الطيار معروف فانا + +325 +00:20:02,270 --> 00:20:05,350 +أشوف الطيار معاه وانا ضده هيوا معايا حطوا تسابق + +326 +00:20:05,350 --> 00:20:09,310 +طيب الان انا وصلت تحت بده اروح حد في يسار لما بده + +327 +00:20:09,310 --> 00:20:17,710 +اروح يسار بيكسك تحتك ولا لأ ناقص + +328 +00:20:17,710 --> 00:20:28,940 +ي اتنين ناقص ي اتنينحلو ماوصلتش النقطة لسه ناقصة I + +329 +00:20:28,940 --> 00:20:33,240 +في R2 مظبوط ولا لأ بيساوي سفر أنا وصلت في الآخر + +330 +00:20:33,240 --> 00:20:37,980 +وصلت لفوق اذا ببدأ من النقطة بمشي و انا طول ما انا + +331 +00:20:37,980 --> 00:20:39,440 +ماشي بشوف ايش بجهة بحكي + +332 +00:20:42,190 --> 00:20:46,570 +بتطلع نفسه ولا كانت؟ نفس المعادلة بس هذي بصير سالق + +333 +00:20:46,570 --> 00:20:50,550 +و هذي بصير مودة و هذي مودة و هذي مودة .. في الأخر + +334 +00:20:50,550 --> 00:20:54,590 +المعادلة بتفرق و كانت جالس المعادلة في إيش؟ سوريا + +335 +00:20:54,590 --> 00:20:58,190 +.. و بيعملوا قوى يعني المعادلة اللي أبنها بتسلب + +336 +00:20:58,190 --> 00:21:02,510 +واحد .. المعادلة اللي أبنها بتسلب واحد .. المعادلة + +337 +00:21:02,510 --> 00:21:02,510 +اللي أبنها بتسلب واحد .. المعادلة اللي أبنها بتسلب + +338 +00:21:02,510 --> 00:21:02,950 +واحد .. المعادلة اللي أبنها بتسلب واحد ..لو قلت + +339 +00:21:02,950 --> 00:21:07,370 +عادل انا اسف عادل اذا مشي تقلق كويس او كوانتر تقلق + +340 +00:21:07,370 --> 00:21:10,350 +كويس تفرجش في الإيجابات عشان كده جالك امشي كيف ما + +341 +00:21:10,350 --> 00:21:13,290 +بدك هو جالك امشي كيف ما بدك هو عارف حاله لان ليش + +342 +00:21:13,290 --> 00:21:18,170 +يا شباب هو بيقولي هو va نقص va هجيتي هو اصلا بيه + +343 +00:21:18,170 --> 00:21:21,170 +final نقص v initial لما يقولي هيك انت بتقدر من ال + +344 +00:21:21,170 --> 00:21:23,830 +initial تبقى ال final صح ولا لا؟ لكن لما يقول a و + +345 +00:21:23,830 --> 00:21:27,350 +a طب ان هي initial و هي final تفرجش هذي initial و + +346 +00:21:27,350 --> 00:21:29,910 +بعدين اروح هنا ولا هذين تفرجش فبالتالي وما تروح و + +347 +00:21:29,910 --> 00:21:31,550 +تروح غير لما يقولك initial و final + +348 +00:21:39,540 --> 00:21:42,820 +تفرج .. هتفرج لأنه بتكون واضح من وين لو وين عادة + +349 +00:21:42,820 --> 00:21:47,280 +ما نحكي عنها تمام شباب .. عوض .. عوض .. طبعا هذا + +350 +00:21:47,280 --> 00:21:52,060 +كان معادلة .. معادلة واحدة ومجهولة وحيد .. سهلة .. + +351 +00:21:52,060 --> 00:21:55,180 +طلع I .. اه دي سهلة .. طلع السالب انا مش طلع + +352 +00:21:55,180 --> 00:21:57,820 +السالب .. طلع السالب انا .. ال direction لو دققنا + +353 +00:21:57,820 --> 00:22:00,840 +هو عارف انه معاكوس بالعمدة من الأول .. بقولك انا + +354 +00:22:00,840 --> 00:22:02,700 +ماتفرجش في احنا ال direction انا طلع السالب .. + +355 +00:22:02,700 --> 00:22:05,220 +يعني معاكوس .. مش مشكلة .. انا دي بقولك اه دي دي + +356 +00:22:05,220 --> 00:22:09,040 +ال power .. لو دي طلعت شباب من الدربل 12 في هذه .. + +357 +00:22:10,730 --> 00:22:16,090 +البورة تبعت هذه 12 في 0.3 و12 في 3 حوالي 3.9 حوالي + +358 +00:22:16,090 --> 00:22:21,070 +4 أربع واط .. أربع واط .. أربع واط .. حلو الأربع + +359 +00:22:21,070 --> 00:22:23,490 +واط مين بتروحوا؟ المفروض هذا ياخد جزء و هذا ياخد + +360 +00:22:23,490 --> 00:22:28,190 +جزء و هذا ياخد جزء صح ولا لا؟ هذه بصي العملية + +361 +00:22:28,190 --> 00:22:34,190 +الشحن لها تنشحنو هدول .. هدول دفايات بيطلعوا حرارة + +362 +00:22:34,190 --> 00:22:37,750 +.. هدول دفايات بيطلعوا حرارة .. أما هذه .. هذه + +363 +00:22:37,750 --> 00:22:39,930 +بطارية .. ماعندي دفايات أو لبضة أو اللي بتكون إيه + +364 +00:22:39,930 --> 00:22:42,210 +.. المهم هي تاخد طاقة في الآخر .. بس خليها دفايات + +365 +00:22:42,210 --> 00:22:45,630 +عشان أكتر حاجة محسوسة أنه بتتدفع يعني .. بتلاقي + +366 +00:22:45,630 --> 00:22:49,550 +أنه في حرارة .. في النهاية الطاقة مش حرارة بس .. + +367 +00:22:49,550 --> 00:22:54,910 +مهد طاقة .. إنارة طاقة .. حركة .. هوية .. هي برضه + +368 +00:22:54,910 --> 00:22:58,800 +طاقة .. حركة ..هذا يعني أنك تريد طاقة في هذا + +369 +00:22:58,800 --> 00:23:01,220 +البرامج لو جيت حسبت البرامج تبعا هنا بقول هذا + +370 +00:23:01,220 --> 00:23:04,520 +minus sign in the case that the direction of I is + +371 +00:23:04,520 --> 00:23:08,500 +opposite the osium direction تمام جاليه حسب + +372 +00:23:08,500 --> 00:23:13,460 +البرامج طلعت P1 تبعت المقاومة الأولى وP2 اجمعهم + +373 +00:23:13,460 --> 00:23:18,070 +طلع حوال اتنين صح؟التنتين عادوا يدفعوا التين و لا + +374 +00:23:18,070 --> 00:23:21,590 +الهويتين و لا اللي بتقياهم طلع اتنين وات جاي + +375 +00:23:21,590 --> 00:23:24,830 +فبتشوف ال epsilon اتنين طلعت اربع وات طب اذا وين + +376 +00:23:24,830 --> 00:23:27,690 +الباقي جاي ماخدتها المقاومة دى البطارية التانية ان + +377 +00:23:27,690 --> 00:23:30,690 +شحنت فيها التانية ياخد الطاقة طبعا ما انتوا عارفين + +378 +00:23:30,690 --> 00:23:33,610 +مش كل حجار او مش كل البطاريات اللي بتشحن تبع + +379 +00:23:33,610 --> 00:23:37,210 +التركيبة الداخلية يعني خلنا نرجع للمدارس + +380 +00:23:40,050 --> 00:23:44,030 +بالظبط، واحدة تشحن التانية الحجر الجافي اللي كنا + +381 +00:23:44,030 --> 00:23:46,170 +نحكي عنه، وما أنتوا عارفينه، في عبارة عن التفاعلات + +382 +00:23:46,170 --> 00:23:50,030 +كيميائية، إذا أنا بقدر أرجع التفاعل كيميائي، بقدر + +383 +00:23:50,030 --> 00:23:53,810 +أشحنها، لكن مش كل التفاعل كيميائية reversible، + +384 +00:23:53,810 --> 00:23:56,450 +صحيح ولا لا؟ في طريق واحدة بس، ممكنش أرجع، + +385 +00:23:56,450 --> 00:23:59,030 +وبالتالي مش كل بطارية اللي بقدر أشحنها، في بطاريات + +386 +00:23:59,030 --> 00:24:01,090 +خلاص، برميها في الزبالة، زي حجر الراديو اللي + +387 +00:24:01,090 --> 00:24:05,280 +بنعرفهتمام هذه بس معلومة بهذا الشكل هو بيقول you + +388 +00:24:05,280 --> 00:24:08,060 +know that بيواحد زي اتنين بيساوي اتنين من واحد + +389 +00:24:08,060 --> 00:24:11,220 +وعشان بيقول you know that is half of the power + +390 +00:24:11,220 --> 00:24:14,400 +supplied by the 12 battery is delivered to the + +391 +00:24:14,400 --> 00:24:17,280 +resistors and the other half is delivered to the 6 + +392 +00:24:17,280 --> 00:24:20,900 +volt battery نصها راح للمقاومات ونص التانية أخدته + +393 +00:24:20,900 --> 00:24:24,820 +البطاريات التانية هذه بس معلومة عشان نعرفها هاي + +394 +00:24:24,820 --> 00:24:30,090 +كمان سؤال هاي سؤال شوية منطقيفبالحين إذا كانت + +395 +00:24:30,090 --> 00:24:35,990 +البطارية ممكن تشحن الدائرة شوف إذا البطارية خربانة + +396 +00:24:35,990 --> 00:24:39,970 +مظبوط بتنفتح الدائرة بتبقى عندك دائرة open circuit + +397 +00:24:39,970 --> 00:24:43,130 +بتبقى في طيارة إذا خربانة بمعنى كلمة خربانة + +398 +00:24:43,130 --> 00:24:50,310 +بتحتنقل ما هو لا تشحنش بيصي مقاومة عالية جدا + +399 +00:24:50,310 --> 00:24:54,530 +مقاومتها زي عازي ممكن تكون عازي فبتنفتح الدائرة + +400 +00:24:55,220 --> 00:24:58,100 +فصيبك أنها مقاومة ضخمة ما هو إيش لما تخرج؟ بصيبك + +401 +00:24:58,100 --> 00:25:01,160 +قوامتها الداخلية كبيرة جدا فتبقى أكتر في أقنعك فرق + +402 +00:25:01,160 --> 00:25:05,640 +جوهر منطقي تمام in the circuit shown by the + +403 +00:25:05,640 --> 00:25:08,480 +current in each resistor تطلعش المطلوب التاني شباب + +404 +00:25:08,480 --> 00:25:16,160 +بدوا فرق جوهر Vb-Va Vb-Va لما يقولك Vb-Va وقال لك + +405 +00:25:16,160 --> 00:25:20,460 +V final-Vinitial هاي الـ Delta V أنا عادة لما أقول + +406 +00:25:20,460 --> 00:25:26,010 +final-initial هادي لاقيتهinitial ايش يعني initial؟ + +407 +00:25:26,010 --> 00:25:31,550 +ببدأ منها تمام؟ قمت initial عشان بيجيها و هالي طب + +408 +00:25:31,550 --> 00:25:34,670 +عالم اللي هناك من أين بدي أبدأ؟ من a بدي أبدأ من + +409 +00:25:34,670 --> 00:25:39,190 +النقطة التانية شباب ببدأ من a و أروح ل b مفروض ليش + +410 +00:25:39,190 --> 00:25:43,590 +VA نقص VA و بدي أسوي 0؟ VA نقص VP خلّيني أبدأ + +411 +00:25:43,590 --> 00:25:48,030 +الحساب هذه التيارات شباب اللي عملناها انا اختارت + +412 +00:25:48,030 --> 00:25:52,870 +تلات تيارات عشوائية بقول لك designate currents in + +413 +00:26:03,480 --> 00:26:13,660 +هي تحكس اي واحد بس هي هي اتطلع + +414 +00:26:13,660 --> 00:26:20,280 +على التيارات هل اي اتنين انا فصلته لأ اي تلاتة هي + +415 +00:26:20,280 --> 00:26:21,200 +الانفصالات + +416 +00:26:24,070 --> 00:26:26,850 +إذا كانت الشغلعة عشوائية .. نرجع للعشوائية .. طبعا + +417 +00:26:26,850 --> 00:26:27,670 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +418 +00:26:27,670 --> 00:26:27,770 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +419 +00:26:27,770 --> 00:26:28,030 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +420 +00:26:28,030 --> 00:26:29,550 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +421 +00:26:29,550 --> 00:26:29,750 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +422 +00:26:29,750 --> 00:26:30,110 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +423 +00:26:30,110 --> 00:26:30,150 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +424 +00:26:30,150 --> 00:26:30,830 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +425 +00:26:30,830 --> 00:26:32,570 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +426 +00:26:32,570 --> 00:26:33,270 +اللي .. اللي .. اللي .. اللي .. اللي .. اللي .. + +427 +00:26:33,270 --> 00:26:42,510 +اللي .. اللي .. اللي .. اللي .. اللي .. الل + +428 +00:26:49,550 --> 00:26:54,290 +A وB لأن بي واحدة بإيه الطيارة عندها بي جهان و + +429 +00:26:54,290 --> 00:27:01,730 +بيفصلش إذا برضه A وB زي بعض أكم loop فيه تلاتة + +430 +00:27:01,730 --> 00:27:05,970 +اللي فوق و اللي تحت و الكلية و الكلية loop مغلقة + +431 +00:27:05,970 --> 00:27:10,510 +صح ولا لأ إذا في عندي two junctions و بيدي three + +432 +00:27:10,510 --> 00:27:13,590 +loops لكن ال junctions عشان هم اتنين أكم مرة بقدر + +433 +00:27:13,590 --> 00:27:17,710 +استخدمهم واحدة مرة واحدة لإن احنا يقولنا دايما أقل + +434 +00:27:17,710 --> 00:27:21,700 +من العدد بواحدعادة نشوف ان المعادلة التانية هي هي + +435 +00:27:21,700 --> 00:27:27,280 +تمام solution to apply Kirchhoff's first rule to + +436 +00:27:27,280 --> 00:27:32,160 +the junction P we get طبعا ال junction P تشبهك مين + +437 +00:27:32,160 --> 00:27:38,360 +اللي ده هيعطينا معادلة؟ إيش الداخل لها؟ اللي داخل + +438 +00:27:38,360 --> 00:27:49,280 +I1 و I2، فح؟ إيش اللي خارج؟ I3واضح؟ حاكمة عمارة + +439 +00:27:49,280 --> 00:27:55,980 +هدول داخلين .. هدول داخلين واضحين و الخارج ده هو + +440 +00:27:55,980 --> 00:27:59,960 +بقيت بقول I1 plus I2 plus I3 فسؤالي الآن ال + +441 +00:27:59,960 --> 00:28:06,080 +junction ايه؟ مين يديني معادلة؟ ال junction ايه؟ + +442 +00:28:06,080 --> 00:28:12,120 +I1 plus I3 ايش اللي داخلها؟ I3 I3 ايش الخارج؟ I1 + +443 +00:28:16,690 --> 00:28:20,170 +وحدة نفس المعادلة عشان كده مرة تانية بيقولك + +444 +00:28:20,170 --> 00:28:22,970 +ماتغلبش حالك هتطلع بقعدك نفس المعادلة فخلاص + +445 +00:28:22,970 --> 00:28:26,710 +استخدمها مرة واحدة وخلاص واضح شباب؟ في حاجة مش + +446 +00:28:26,710 --> 00:28:31,650 +واضحة؟ مجرد الداخل صار خارج و الخارج صار داخل لما + +447 +00:28:31,650 --> 00:28:34,570 +غيرتي ال junction لكن المعادلة كمعادلة رياضية + +448 +00:28:34,570 --> 00:28:42,560 +ماتغيرتش طيب يللا الان خلصنا من firstطول طولة عندي + +449 +00:28:42,560 --> 00:28:50,460 +معادلة اوله كان مجهول في عندي اول معادلة بتلت + +450 +00:28:50,460 --> 00:28:56,760 +علامات هاي اول معادلة بتلت علامات حلو now apply + +451 +00:28:56,760 --> 00:29:01,220 +and cater second rule to the upper loop traversing + +452 +00:29:01,220 --> 00:29:06,820 +it clockwise بده مش برضه clockwise من اين بده ابدأ + +453 +00:29:06,820 --> 00:29:15,240 +منها يالا من هنا جنيأيش حاجة؟ سالب أربعة عشر لإن و + +454 +00:29:15,240 --> 00:29:21,180 +أنا ماشي هايحا معايا ولا بضّي بضّي إذا سالب أربعة + +455 +00:29:21,180 --> 00:29:27,420 +عشر زائد ده ستة اي واحد طب ليش و أنا نازم انا + +456 +00:29:27,420 --> 00:29:36,400 +تشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيش + +457 +00:29:42,390 --> 00:29:51,150 +أي ابنين بالبالكم انت استجربت اهو استجرب دلوقت اي + +458 +00:29:51,150 --> 00:29:56,750 +واحد اجربلي لأ تتبعوا النقطة اللي بدنا نركز فيها + +459 +00:29:56,750 --> 00:30:01,100 +دلوقت مواطن غلط كتير شباب بصير عند الطلابأنا طيار + +460 +00:30:01,100 --> 00:30:03,920 +دائما ببدأ عند junction و بدأ عند junction .. ببدأ + +461 +00:30:03,920 --> 00:30:06,940 +عند junction ..بالتالي اي واحد ببدأ عند A بخلص عند + +462 +00:30:06,940 --> 00:30:11,460 +B .. اي واحد ببدأ عند A بخلص عند B .. وبالتالي قبل + +463 +00:30:11,460 --> 00:30:16,360 +A او بعد B اي واحد ماني جالكهيجيب I2 بيبدأ عند E و + +464 +00:30:16,360 --> 00:30:20,460 +بيخلص عند B بس من فوق صح او لا؟ اذا هو بداته I2 من + +465 +00:30:20,460 --> 00:30:25,980 +هيك هذا هو وبالتالي هذا ايش طيارة هو I2 I3 بيبدأ + +466 +00:30:25,980 --> 00:30:29,480 +من B و بيخلص عند E هيك وبالتالي هذه طيارة I3 لو + +467 +00:30:29,480 --> 00:30:33,800 +هنا في مقابلة I طيارة بيكون برضه I3 واضح؟ اذا بديش + +468 +00:30:33,800 --> 00:30:41,240 +حربت بالطيارات اذا قلنا سالب 14 قلنا سالب 4 فبصير + +469 +00:30:41,240 --> 00:30:43,960 +سالب 14 زائد 6 + +470 +00:31:15,100 --> 00:31:15,880 +10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10 + +471 +00:31:15,880 --> 00:31:15,980 +-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10 + +472 +00:31:15,980 --> 00:31:16,000 +-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10 + +473 +00:31:16,000 --> 00:31:23,390 +-10-10سالب اتنين عي تلاتة ثم سفر هذه هي هذه عشرة + +474 +00:31:23,390 --> 00:31:26,570 +طيب + +475 +00:31:26,570 --> 00:31:35,010 +ماخلصتش معايا سالب ست عي واحد تمام سالب اتنين عي + +476 +00:31:35,010 --> 00:31:40,750 +تلاتة في مشكلة؟ العملية سهلة خمس هذي بتلت معايا + +477 +00:31:40,750 --> 00:31:41,030 +التلاتة + +478 +00:31:45,810 --> 00:31:47,870 +اللوبل كبيرة على شرطين ما هو اللوبل كبيرة اذا + +479 +00:31:47,870 --> 00:31:51,670 +بتحتاجها اكمل حاجة اللي انت مداد هي اللي جيتكوا + +480 +00:31:51,670 --> 00:31:56,190 +يعني في فلسطين اذا بس اي واحد من الطرق اي واحد من + +481 +00:31:56,190 --> 00:32:00,010 +الطرق بالظبط ابتدأ يالا نعملها ابتدأ اشتغلها + +482 +00:32:00,010 --> 00:32:07,230 +اللوبل كبيرة سالب اربعة عاش سالب اتنين سالب + +483 +00:32:07,230 --> 00:32:11,790 +اربعة اتنين حاجة هي اللوبل كبيرة بتخلص + +484 +00:32:13,700 --> 00:32:16,300 +أنا بدي ثلاث معادلة ثانية خلصت .. هاي ثلاث معادلة + +485 +00:32:16,300 --> 00:32:19,260 +بتزنني .. حاجات هادية رياضية أنا مابقدرش ا .. + +486 +00:32:19,260 --> 00:32:22,760 +يكفيني أحل المعادلة ولا لأ؟ بكفي .. هادي آية ثلاثة + +487 +00:32:22,760 --> 00:32:26,280 +شايفينها؟ يبقوها منها .. آية ثلاثة راح أحصل علي + +488 +00:32:26,280 --> 00:32:27,880 +واحد و آية اثنين .. و هنا واحد و آية اثنين .. بشر + +489 +00:32:27,880 --> 00:32:31,780 +عليها بطل عيجي بقى .. هاي تسع علامات .. مابديش + +490 +00:32:31,780 --> 00:32:37,100 +ليها العلامة .. عشان كده أنا طلعت اللاتي دي .. هو + +491 +00:32:37,100 --> 00:32:38,800 +ماني نسحط في شحتة .. مستغلب حلقة .. + +492 +00:32:41,700 --> 00:32:45,680 +لأ هو الطيارات اللي بدي .. اه طبعا لو بده .. لو + +493 +00:32:45,680 --> 00:32:48,000 +بده ال power غافل انا بدي اديهم .. بس هو شوفوا في + +494 +00:32:48,000 --> 00:32:51,220 +الامتحانات احنا مينفندش الطالب عشان علامة يضيع + +495 +00:32:51,220 --> 00:32:55,220 +وقته، احنا مش بنسويق عشان نريح حالنا، احد التيارات + +496 +00:32:55,220 --> 00:32:58,460 +التلاتة دي اللي بنعطيها لكم، احنا بنحل الامتحان و + +497 +00:32:58,460 --> 00:33:02,190 +بنديكم احد التيارات، بتبقى طلع عندكم مشكلةلأن + +498 +00:33:02,190 --> 00:33:05,170 +الوقت عندك ثلاث معادلات ثلاث مجال عندك هتعود مباشر + +499 +00:33:05,170 --> 00:33:07,950 +فانا بحل المشكلة طبعا انت وانا اللي اتشغلنا فيها + +500 +00:33:07,950 --> 00:33:11,150 +حتى جوه الصعوبة وانت بتحولي واصلي في كتاب لإن هو + +501 +00:33:11,150 --> 00:33:13,770 +عندك ثلاث مجالين و تاخد وجهك زي ما قلتلك تمام + +502 +00:33:13,770 --> 00:33:21,230 +دقايق حد جابري وكتاب تكتب معادلاتك تمام؟ عصب + +503 +00:33:21,230 --> 00:33:28,790 +المعادلة واحدة بتتركيز تمامانه اي واحد تعتقد متها + +504 +00:33:28,790 --> 00:33:33,950 +صح لكن اي اتنين و اي تلاتة طلعوا صوالي مش مشكلة اه + +505 +00:33:33,950 --> 00:33:39,570 +هي عكسها لكن مش مشكلة اي بيظلط اي واحد مننا تفصل + +506 +00:33:39,570 --> 00:33:43,030 +تعكس؟ لأ على التقالي كلنا ده بدينا نحكي عشان كده + +507 +00:33:43,030 --> 00:33:46,590 +مبارض يروح عند الجاشة مجسن سهل عشان كده يبقى ارتاح + +508 +00:33:46,590 --> 00:33:50,950 +لإن في عندك battery team مشاركات في الدائرة على كل + +509 +00:33:50,950 --> 00:33:52,830 +الأحوال احكي + +510 +00:33:54,940 --> 00:33:58,960 +لأ مافيش طيار سالب بس هذا ال direction اه بس هو ال + +511 +00:33:58,960 --> 00:34:01,760 +scale of quantity الطيار عادي اللي لازم يكون موجة + +512 +00:34:01,760 --> 00:34:04,360 +بقيمته و هذا السلب عشان يقولك احكي اتجاه ياما و + +513 +00:34:04,360 --> 00:34:09,480 +انا اقوله الطبع التو حكي ناشر بقى اللي انا احكيه + +514 +00:34:09,480 --> 00:34:13,900 +لو حطينا اتجاهات غلط للطيارطيب السالب في الآخر ما + +515 +00:34:13,900 --> 00:34:16,640 +حل السؤال لازم نعدل اتجاه السيارة؟ لأ، تبقى لك حل + +516 +00:34:16,640 --> 00:34:20,200 +و خد سالبك بس، لما تعودى عن سيارة عوضه بسالب، زي + +517 +00:34:20,200 --> 00:34:23,620 +ما كانت بدى أعمل، تمام؟ عشان ماتجمدش حالك، خلّيك + +518 +00:34:23,620 --> 00:34:27,880 +زي ما أنت، كشمل الف ديريكشن للسؤال، خلاص انت حاطب + +519 +00:34:27,880 --> 00:34:30,580 +ال direction تبقى كحالة، خلّيك رجال، أفضل ال field + +520 +00:34:30,580 --> 00:34:35,190 +تبعك، ماتغيرش، تمام؟ بس خد الرقم اللى بيجيكلتجد + +521 +00:34:35,190 --> 00:34:39,970 +الاختلاف الممكن بين الاتنين نبدأ في النقطة الأولى + +522 +00:34:39,970 --> 00:34:42,870 +ابدا من النقطة الأولى طبعا النقطة الأولى ممكن + +523 +00:34:42,870 --> 00:34:46,430 +يقولك I ممكن يقولك A أو B أو C أو D واضح فدائما + +524 +00:34:46,430 --> 00:34:48,750 +النقطة الأولى هي النقطة التانية اللي إليها يعني + +525 +00:34:48,750 --> 00:34:51,590 +دائما تذكر Define الناقص V initial فالنقطة الأولى + +526 +00:34:51,590 --> 00:34:55,010 +من التانية ابتدا من النقطة الأولى وانا كان هو + +527 +00:34:55,010 --> 00:35:00,760 +بيدرو VB ناقص VA من اين بدي أبدأ؟ من Aإذا بيقول لي + +528 +00:35:00,760 --> 00:35:03,080 +to find the potential difference between two + +529 +00:35:03,080 --> 00:35:06,540 +points start at the initial point and traverse the + +530 +00:35:06,540 --> 00:35:09,000 +loop toward the final point اللي أنا ممكنش ترجع + +531 +00:35:09,000 --> 00:35:13,500 +نفس النقطة لإنه ممكنش VA-VA VA بيناخس VA إذا تبدأ + +532 +00:35:13,500 --> 00:35:17,100 +من هناك و تروح من هناك تسهل من ال B و بس بعد كيف + +533 +00:35:17,100 --> 00:35:20,060 +بيروح من A ل B؟ بيقول لك كل ما بدك تروح ممكن يكون + +534 +00:35:20,060 --> 00:35:23,740 +عدة طرق تروح فيهم اللي بدك إياه أسهل لك تروح خل + +535 +00:35:23,740 --> 00:35:28,940 +التاني و التالت تعمل test دوابك صح ولا لأ؟خلّينا + +536 +00:35:28,940 --> 00:35:32,400 +هدهي هدى انا نفسها وهى ال currents اللى عملناها + +537 +00:35:32,400 --> 00:35:34,980 +نفس الطيارات و نفس الاتجاهات بالساعة و بالموجة + +538 +00:35:34,980 --> 00:35:37,920 +اللى بدي اخدهم تمام شباب فاكرتم ايه بدي ابدأ عشان + +539 +00:35:37,920 --> 00:35:41,740 +اجيب VP نقص ليه طب من ايه لبيك كيف امشي امشي عدى + +540 +00:35:41,740 --> 00:35:45,680 +ولا امشي تحت ولا امشي فوق اللى بديه أسهل واحد + +541 +00:35:45,680 --> 00:35:50,690 +وينقولكم لتحت في عصر واحدشايف تلاحظ ده كام عنصر + +542 +00:35:50,690 --> 00:35:57,170 +فيه؟ عنصر واحد مفروض زائد اتنين I ثلاثة ولا لأ انا + +543 +00:35:57,170 --> 00:36:02,570 +هايحمل E ل D مشان ال I ثلاثة بيكون عكسي اذا بتكون + +544 +00:36:02,570 --> 00:36:06,110 +مفروض زائد اتنين I ثلاثة و I ثلاثة جديد اسفل + +545 +00:36:06,110 --> 00:36:08,570 +العالم معايا نقص واحد امبير طلعت نقص اتنين point + +546 +00:36:08,570 --> 00:36:16,080 +انا هنجرببقول starting at point A we follow a path + +547 +00:36:16,080 --> 00:36:19,620 +till point B through the middle battery بقول انا + +548 +00:36:19,620 --> 00:36:22,720 +مانا مش عال middle battery درجة العدلة طب و انا + +549 +00:36:22,720 --> 00:36:27,800 +ماشي هيك حد او اكيد بيداخده معاه ايه؟ موجة تمام و + +550 +00:36:27,800 --> 00:36:33,020 +هدق ست ست اي واحد مظبوط او لا؟ اذا بقول VP نقص VA + +551 +00:36:33,020 --> 00:36:35,840 +بدأت من ايه؟ بقولت عشر او نقص ست اي واحد اي واحد + +552 +00:36:35,840 --> 00:36:39,450 +كان عبارة عن اتنينفنقص اتنين volt و هذا جدش + +553 +00:36:39,450 --> 00:36:44,630 +الطناية و انا راح نقص اتنين volt طب يلا نطلع فوق + +554 +00:36:44,630 --> 00:36:50,450 +نطلع فوق لما نطلع فوق شباب عدد طيار اصله هيك اذا + +555 +00:36:50,450 --> 00:36:58,090 +سالب اربع I اتنين سالب اربعة عاش اصبحت جدش I اتنين + +556 +00:36:58,090 --> 00:37:03,190 +تلاته ولا سالب تلاته سالب تلاته سالب سالب تلاته + +557 +00:37:03,190 --> 00:37:05,490 +زائد اتن عاش نقص اربعة عاش + +558 +00:37:12,950 --> 00:37:16,790 +طبعا ماعرف اي حاجة لأن فيها عاصر اقل زي هيك خلاص + +559 +00:37:16,790 --> 00:37:23,450 +ضربة واحدة بضربها فيها أيش افسار شباب؟ قضية كيرشوف + +560 +00:37:23,450 --> 00:37:28,890 +عملية بتيجي سهلة مياد زي ما حكينا الصعوبة اللي في + +561 +00:37:28,890 --> 00:37:34,030 +صعوبة جبرية مش اكتر او اقل والباقي بيكون في عدة + +562 +00:37:34,030 --> 00:37:38,890 +مهارة المعادلة تتكسب صح وانا بقول المعادلة كل + +563 +00:37:38,890 --> 00:37:41,610 +معادلة لها تلت علامات لكن المعادلة لا تقسم على + +564 +00:37:41,610 --> 00:37:46,310 +اتنينبمعنى آخر المعاجلة لاب يدسواك، ده يقولها صح، + +565 +00:37:46,310 --> 00:37:49,730 +لايقولها غلطيعني فيها خمس ترمات تام فيهم غلط واحد + +566 +00:37:49,730 --> 00:37:53,410 +كله ترجع لماتك بدك يكون ممنوع تغلط لأنه احنا في + +567 +00:37:53,410 --> 00:37:55,290 +المجارس كنا نقبل انك تغلط هذي الشيء اللي أخدتها في + +568 +00:37:55,290 --> 00:37:58,150 +المجارس الان ممنوع تغلط فهي بالك اللي قولتلي إياها + +569 +00:37:58,150 --> 00:38:01,390 +واحد يقولي الداخل و الخارج يغلطني فيها كمان ان + +570 +00:38:01,390 --> 00:38:04,250 +معادلات الطيارات الداخل تساوي ما تقلش الطيارات + +571 +00:38:04,250 --> 00:38:08,610 +الخارجة او يعملي حاجة غلط مقبلهاش ولا كمان ان + +572 +00:38:08,610 --> 00:38:13,130 +الجهود انا ماشي شغل سهلة الطيار معايا سالب + +573 +00:38:13,130 --> 00:38:16,830 +الفطارية معايا موجب و مارش على هذا الأساس تمام + +574 +00:38:18,420 --> 00:38:22,260 +Gamana's sign here indicates that VA أخضر من VD + +575 +00:38:22,260 --> 00:38:25,200 +طبعا ما زال ثالث اذا انا أكبر من VD عشان بعضهم + +576 +00:38:25,200 --> 00:38:30,860 +بيقول try to follow احنا عملنا محاولات و نجحت try + +577 +00:38:30,860 --> 00:38:33,160 +to follow another that is from A to B to verify + +578 +00:38:33,160 --> 00:38:37,300 +that they give also give the same results طبعا و + +579 +00:38:37,300 --> 00:38:42,940 +طلعت كله نقص اتنين point تمام الموضوع الآن هو ال + +580 +00:38:42,940 --> 00:38:47,470 +RC circuit مين عملها في المحكمة؟شحن و تفريغ + +581 +00:38:47,470 --> 00:38:53,050 +المكثفات عملتوها كلكم؟ هذه الدائرة اسمها RC ليه + +582 +00:38:53,050 --> 00:39:00,490 +اسمها RC؟ فيها R فيها C RC Circuit طيب خلينا نبدأ + +583 +00:39:00,490 --> 00:39:04,150 +في المعمل إيش اشتغلته في الأول كنتوا تلاحظوا على + +584 +00:39:04,150 --> 00:39:09,770 +الساعة تاخدوا قراعة في الآخر ستشربوا شاي و تتحدثوا + +585 +00:39:09,770 --> 00:39:12,710 +قبل ما تاخدوا قراعة مظبوط ولا لأ في الأول بتكون + +586 +00:39:12,710 --> 00:39:19,180 +سريعة بعدين شوي شوي بتبطيزي .. لأن هذا طبيعة ال + +587 +00:39:19,180 --> 00:39:23,280 +exponential function ال exponential function شباب + +588 +00:39:23,280 --> 00:39:29,180 +هذا بيقولوا في علم الرياضيات أقوى function و أصفر + +589 +00:39:29,180 --> 00:39:34,220 +ع function لأن مافيش function جنبه بيقدر يغلبه هذا + +590 +00:39:34,220 --> 00:39:38,920 +بيبدو كتير قوي لو جيت انا رأيت بوا X خلنا نقول كيف + +591 +00:39:38,920 --> 00:39:39,760 +رسمتها؟ + +592 +00:39:43,510 --> 00:39:44,650 +هنا في زيادة كتير و بعدين + +593 +00:39:44,650 --> 00:39:54,730 +تتبطططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططط + +594 +00:39:55,350 --> 00:39:59,710 +طبعا لو مافيش مقاومة بشحنه بجزء من ثانية .. صح .. + +595 +00:39:59,710 --> 00:40:02,890 +لكن المقاومة بتخليني أشحنه بمدة طويلة .. إذا + +596 +00:40:02,890 --> 00:40:05,670 +المقاومة هي بتخليني أشحنه بمدة طويلة .. لكن .. + +597 +00:40:05,670 --> 00:40:08,530 +ممكن أشحنه بدون خلال الشغلة كلها .. أجيب بالمكثف و + +598 +00:40:08,530 --> 00:40:11,170 +أحطه بالبطارية مباشرة .. ثانية ثلاثة .. خلاص .. + +599 +00:40:11,170 --> 00:40:14,410 +بلحظة mentally .. حطه للمقاومة .. أستنى عليه و أخد + +600 +00:40:14,410 --> 00:40:17,570 +قراة و ساعة .. أخاف .. أستنى .. و لما تقعد نصف + +601 +00:40:17,570 --> 00:40:22,700 +ساعة عشان أتعبى .. نفس عملية التثميرالتفريغ ممكن + +602 +00:40:22,700 --> 00:40:27,520 +افرغه بلحظة بحط بين الطرفين و سلكي خلص بفضل حط + +603 +00:40:27,520 --> 00:40:31,880 +مقاومة و بعدي عدم ما يفضل و عد عليه تمام اول ما + +604 +00:40:31,880 --> 00:40:36,740 +ابدأ بتشارج process هاي دائرة تمام هجيلي دائرة + +605 +00:40:36,740 --> 00:40:40,320 +مفتوحة ولا لأ انا بسكرها مرتين لأ خلي المفتاح + +606 +00:40:40,320 --> 00:40:44,180 +لأحمر لا تحت لا فوق اذا تحت بسكر فيه loop مغلقة + +607 +00:40:44,180 --> 00:40:47,120 +بصير ولا لأ و اين هو ال loop المغلقة بصير لو كان + +608 +00:40:47,120 --> 00:40:53,260 +المفتاح هنابصي تفريغ لو فاض المكثف .. بصي ايش؟ لأ + +609 +00:40:53,260 --> 00:40:56,680 +.. اه المكثف هو وصلت بين طرفين وصلك بطل المكثف + +610 +00:40:56,680 --> 00:41:01,520 +وانتهينا منه .. لكن لو عملته هيك صار .. شحن .. + +611 +00:41:01,520 --> 00:41:04,460 +لأنه رابطه بالبطارية ولا لأ .. رابطه بالبطارية .. + +612 +00:41:04,460 --> 00:41:07,700 +بقول ليه .. the figure shows a capacitor initially + +613 +00:41:07,700 --> 00:41:11,560 +under charge .. في الأول فاضيConnected in series + +614 +00:41:11,560 --> 00:41:17,380 +with a resistor if the switch capital S is thrown + +615 +00:41:17,380 --> 00:41:22,680 +at point one, the capacitor will begin to charge, + +616 +00:41:22,940 --> 00:41:24,500 +creating a current in the circuit + +617 +00:41:28,230 --> 00:41:31,010 +بتنتقل يعني اتحركت لو في ال meter بتتحرك ولا + +618 +00:41:31,010 --> 00:41:35,490 +بتشتحرك لإن هو هي تيار اتحركت الشحنات هي تيار و ال + +619 +00:41:35,490 --> 00:41:39,190 +meter إيش بجيس؟ تيار إذا أول ما أبدي أشحن الطيار + +620 +00:41:39,190 --> 00:41:43,110 +بلعب على طول صار في عندك تيار بجيس طيب يالا هاي + +621 +00:41:43,110 --> 00:41:49,150 +إيش صار هيك سكرنا مفتاحنا يالا هاي شحنات الموجة + +622 +00:41:49,150 --> 00:41:55,090 +بقى هاي التيار هتتجاه التيار طبعا + +623 +00:41:55,090 --> 00:42:02,510 +قطب السالب هو اللي بيجيبهم هه بنتشحنانشحن .. تم .. + +624 +00:42:02,510 --> 00:42:06,850 +بيبقى بيشحن وقتيش لما يصير جهد المكتب سواء جهد + +625 +00:42:06,850 --> 00:42:09,630 +البطارية بيبقى قطر في مجلة حركة الشحنات اللي + +626 +00:42:09,630 --> 00:42:12,490 +بيخليها تتحرك و ان في فرق جهد واحد بيجيه في الآخر + +627 +00:42:12,490 --> 00:42:14,170 +خلاص بتجف و احنا أخدناها عدة مرات + +628 +00:42:17,780 --> 00:42:20,900 +لت I be the current in the circuit at some instant + +629 +00:42:20,900 --> 00:42:24,180 +during the charging process يقول إنك لو قاعد بتشحن + +630 +00:42:24,180 --> 00:42:27,240 +هتلاقي الطيارة عامله بزيد بزيد بزيد قاعد شوية شوية + +631 +00:42:27,240 --> 00:42:31,880 +يقول خلّي هذا الرمز I هو الطيارة عند لحظة ما جست + +632 +00:42:31,880 --> 00:42:35,600 +بعد خمس دقايق قول جدش الطيارة طلعت قول قيمته I + +633 +00:42:36,460 --> 00:42:39,260 +during the charging process and small q be the + +634 +00:42:39,260 --> 00:42:42,580 +charge on the capacitor at the same instant و + +635 +00:42:42,580 --> 00:42:46,280 +الشحنات الاتكارونات افترضها small q تبقى from + +636 +00:42:46,280 --> 00:42:49,680 +Kirchhoff's second rule في لوب مغلق ولا مش لوب + +637 +00:42:49,680 --> 00:42:53,620 +مغلق يا شباب يلا نطبق كيرشوف التانية كيرشوف + +638 +00:42:53,620 --> 00:42:57,980 +التانية إيش بتقول؟ بدي أد منها يا شباب هد إيش خدها + +639 +00:42:57,980 --> 00:43:02,860 +معايا ولا ضدين؟ يعني زائد إبسلون صح ولا؟ زائد + +640 +00:43:02,860 --> 00:43:06,940 +إبسلونفالطيار هو الخط الأحمر بالنسبة لكم هذه + +641 +00:43:06,940 --> 00:43:09,540 +الشحنات الموجبة وحنا بيقول الطيار حركة الشحنات + +642 +00:43:09,540 --> 00:43:14,540 +الموجبة فالسالب أول في الأرض .. إيه؟ كده كانت + +643 +00:43:14,540 --> 00:43:20,600 +التعامل معاهم ماعلمنيش بقول هو أصلا علمنا شغل مهمة + +644 +00:43:20,600 --> 00:43:23,560 +إذا أنت ماشي من العلي للواطي سالب وإذا ماشي من + +645 +00:43:23,560 --> 00:43:26,600 +السالب للعلي موجب صح أنا ماشي من العلي للواطي + +646 +00:43:26,600 --> 00:43:29,580 +للمناطق العالية يعني سالب + +647 +00:43:33,480 --> 00:43:40,120 +Q على C إذا سالب Q على C بالساوسية يعني المكثف + +648 +00:43:40,120 --> 00:43:44,260 +عشان أريح حاجة أعمله زي البطارية زي البطارية لكن + +649 +00:43:44,260 --> 00:43:47,900 +هى المفضل واحد انت طالع من عالي لواطي سالب من واطي + +650 +00:43:47,900 --> 00:43:50,800 +لعالي موجب وانا اجيت ماشي من عالي لواطي ولا لأ + +651 +00:43:50,800 --> 00:43:54,220 +بحسب الاتجاه إذا سالب فرق الجود زى ما هذا فرق + +652 +00:43:54,220 --> 00:43:57,320 +الجود من قانون O هذا فرق الجود تبقى كبسط لما عرفته + +653 +00:43:57,320 --> 00:44:01,670 +من أول هى المعاجلة طب اكتبها لما هنا كتبتهذه + +654 +00:44:01,670 --> 00:44:05,670 +المعادلة عن زمن معين شباب مخلصتش لسه جالي خلص هذه + +655 +00:44:05,670 --> 00:44:09,050 +معادلة بدي أشتغل فيها الجابر الجادة جالي فيها + +656 +00:44:09,050 --> 00:44:15,630 +عراقة بين I و Q I و Q بينهم عراقة I مش بيساوي DQ + +657 +00:44:15,630 --> 00:44:19,590 +على DT جالي طب أعوذ وشو مش بيصار معاك بقولي بقى I + +658 +00:44:19,590 --> 00:44:24,190 +بيساوي DQ على DT هيك صارت المعادلةهذه يسموها طبعا + +659 +00:44:24,190 --> 00:44:28,150 +رياضيات معادلة تفاضلية مظبوط ولا لا؟ بس جالي هذه + +660 +00:44:28,150 --> 00:44:30,330 +ممكن تتحلها على كل حوار مش عارف انا أحللها ولا لا + +661 +00:44:30,330 --> 00:44:34,270 +اه هين أحللها جالي الوقت بها معادلة تفاضلية عشان + +662 +00:44:34,270 --> 00:44:39,210 +هذه .. مانا انتوا مين ناخد كمعادلة تفاضلية؟ حد؟ + +663 +00:44:39,210 --> 00:44:42,930 +هذي فاس أوضة زي ما انا عاد .. محتوطة في المخدمة و + +664 +00:44:42,930 --> 00:44:46,130 +ليس محتوطة فاحطيهم المخدمة و بعدين بيرموها لكوا + +665 +00:44:46,130 --> 00:44:49,610 +مجيبوها لكوا يكوش بهم مرة يعني هذي قصة كانت بردر + +666 +00:44:49,610 --> 00:44:52,190 +عليها الشغل كتير طبعا homogenous or non homogenous + +667 +00:44:52,190 --> 00:44:56,870 +مش مشكلةطبعا ال homogeneous عشان ما تقولوش احنا + +668 +00:44:56,870 --> 00:44:59,830 +قاعدين نحكي شغلات مفهوم لما تكون هذه من السفر + +669 +00:44:59,830 --> 00:45:02,230 +بصينا homogeneous لما تكون هذه السفر بيسموها + +670 +00:45:02,230 --> 00:45:05,290 +homogeneous مش قضية علم كامل يعني هاي الشباب في + +671 +00:45:05,290 --> 00:45:09,710 +سنة تلتة ولا لا مش عارفون يوصلوا في مساق كامل اسمه + +672 +00:45:09,710 --> 00:45:12,290 +differential equation طبعا تعني رياضياتي بياخدوا + +673 +00:45:12,290 --> 00:45:16,630 +مساقيناسمها differential equation بس كيف يتعلموا + +674 +00:45:16,630 --> 00:45:19,650 +يحلوا المعادلات التفاضلية علم واسع جدا طبعا هذه + +675 +00:45:19,650 --> 00:45:23,170 +علم واسع جدا مرتبط عليها كتير من العلوم الهندسة + +676 +00:45:23,170 --> 00:45:25,010 +القهوبية كلها كيف يحلوا المعادلات التفاضلية + +677 +00:45:25,010 --> 00:45:29,110 +الهندسة الميكانيكية كلها نفس القضية في كيف + +678 +00:45:29,110 --> 00:45:32,710 +يتعاملوا معاها المعادلات التفاضلية كتير مهمة لأنه + +679 +00:45:32,710 --> 00:45:37,100 +في الآخرالشغل بيصير ما زال I وDQ على DT إذا إجت + +680 +00:45:37,100 --> 00:45:39,460 +المعادلة التفاضلية وإذا طبعا simple harmonic + +681 +00:45:39,460 --> 00:45:42,740 +motion إحنا أخدنا نوع أخر من المعادلات التفاضلية + +682 +00:45:42,740 --> 00:45:46,480 +فعلم المعادلات التفاضلية علم واسع جدا وقواعد كتيرة + +683 +00:45:46,480 --> 00:45:49,520 +إحنا تعاون الفيزيا برضه بنعطيهم إياه بصورة متقدمة + +684 +00:45:49,520 --> 00:45:52,720 +جدا لازم يتعلموا عشان يتعاملوا مع الفيزيا ففي + +685 +00:45:52,720 --> 00:45:57,300 +عندنا مساقين بنعطيه برضه differential equation في + +686 +00:45:57,300 --> 00:45:59,900 +virtual differential equation مساك كامل فلازم برضه + +687 +00:45:59,900 --> 00:46:02,760 +يتعامل معاه و ال virtual اللي يعرف ordinary بيقدر + +688 +00:46:02,760 --> 00:46:06,640 +يعرف ال virtual بصورةمش خضية تمام هادرطبتها أنا + +689 +00:46:06,640 --> 00:46:10,960 +سببها .. شوفوا انتوا الاشتقاء مش كتير معضل لكن في + +690 +00:46:10,960 --> 00:46:13,820 +الآخر انا بيهم الطالب الاشتقاء يكون فاهميش اللي + +691 +00:46:13,820 --> 00:46:16,500 +بتسويناه يعني و دايما الاشتقاء يكون شغل اللي انا + +692 +00:46:16,500 --> 00:46:19,940 +عارفها يعني من مستوى الطالب الواحد ايش عامل؟ يقولك + +693 +00:46:19,940 --> 00:46:24,580 +انت ربط بها المعادلةهذه DQ و DT فانت ع شجة قال DQ + +694 +00:46:24,580 --> 00:46:29,960 +و DT فهذه DQ و حطها هناك قال DQ في الارسي DQ وهذه + +695 +00:46:29,960 --> 00:46:34,220 +R و C أضربها مع بعض تمام يعني هذه لو يترتبتها أنا + +696 +00:46:34,220 --> 00:46:38,720 +كيف بدي أسوي؟ بدي أقول .. خليني أقول أحط هناك + +697 +00:46:38,720 --> 00:46:46,680 +epsilon ناقص DQ في الار بتساوي Q على C في ال DT صح + +698 +00:46:46,680 --> 00:46:50,760 +ولا لأ يا شباب؟ ده أعمل ال take أنا غلط؟ + +699 +00:46:58,440 --> 00:47:04,450 +هك عملناهابعدين جاء و اكتبها فصرت DQ على E في C + +700 +00:47:04,450 --> 00:47:07,650 +نقص Q بساوية DT على العرصى جالى عشان بس مجرد ان + +701 +00:47:07,650 --> 00:47:13,850 +انا اتعامل معاها بالفعل ايش I بساوية Q على T لأ I + +702 +00:47:13,850 --> 00:47:17,310 +بساوية DQ على DT حاجة لما يكون في عندك شغلها ثابتة + +703 +00:47:17,310 --> 00:47:19,950 +و شغلها زي ايه زي لما انا مجردش انا مجرد السرعة + +704 +00:47:19,950 --> 00:47:23,610 +بساوية مستفعة زمان لما تكون السرعة ثابتة صح فI + +705 +00:47:23,610 --> 00:47:27,690 +بساوية DQ على DT هجيت لك كامل الطرفين شباب كامل + +706 +00:47:27,690 --> 00:47:33,810 +الطرفين هذه تعاون انتوا بتعرفوها خانها كاملبقدر + +707 +00:47:33,810 --> 00:47:43,390 +أسمي هذه U CY ناقص الـQ بالثاوية يالا طيب معقول + +708 +00:47:43,390 --> 00:47:48,210 +واحدة واحدة هذي ثابت و لا ماتثابت سالب DQ بالثاوية + +709 +00:47:48,210 --> 00:47:52,650 +DU ولا لأ حلو + +710 +00:47:52,650 --> 00:47:58,190 +إذا DQ سالب DU و اللي تحت U DU ع Uلأن الـ U إذا + +711 +00:47:58,190 --> 00:48:01,570 +هذه اتكاملت طب وهذه جالي هذه أرصيد خلّيها برا + +712 +00:48:01,570 --> 00:48:08,170 +يستكمل ال DT T سهلة إذا صارت طيب لأن إذا صارت هذه + +713 +00:48:08,170 --> 00:48:15,130 +من ال U اللي هي بالسالد طبعا خلّيني أقول Q ناقص C + +714 +00:48:15,130 --> 00:48:20,670 +في إبسلون عشان السالد من صفر ل Q كيف يتعمل هذا؟ + +715 +00:48:20,670 --> 00:48:23,150 +لأن + +716 +00:48:24,640 --> 00:48:31,480 +ال X من A ل B كيف بيعملها؟ + +717 +00:48:31,480 --> 00:48:37,480 +مش B على A فنفس القضية جالي يصعد عندك لم CY نقص Q + +718 +00:48:37,480 --> 00:48:42,300 +على CY لما Q أصبح 0 بيصير هذه صح ولا لأ؟ بيصوى نقص + +719 +00:48:42,300 --> 00:48:45,720 +T على أقل C طيب كيف بيجيب هذه؟ جالي خد ال + +720 +00:48:45,720 --> 00:48:49,780 +exponential الطرفين أخدتوا هدف كقص ده ولا فعلا؟ + +721 +00:48:49,780 --> 00:48:52,980 +فده خد ال exponential لما ياخد ال exponential ايش + +722 +00:48:52,980 --> 00:48:59,510 +بصير ليه؟وهذه ماذا بيصير exponential وقت + +723 +00:48:59,510 --> 00:49:03,510 +المعادلة انا + +724 +00:49:03,510 --> 00:49:09,870 +كنت بكتر ثقها هذه المعادلة Q بيساوي C في Y واحد + +725 +00:49:09,870 --> 00:49:16,410 +نقص E تبوى نقص D على عرصى هذا سالب + +726 +00:49:16,410 --> 00:49:23,510 +هينبين هنابس عشان جنب ال .. الهدى مش مبين فأولا + +727 +00:49:23,510 --> 00:49:27,690 +مبين هاليوم فيه سالب .. فيه سالب اه لأ انا مش + +728 +00:49:27,690 --> 00:49:30,370 +شايفه من داخلي يعني هو من داخلي جامعي .. فيه سالب + +729 +00:49:30,370 --> 00:49:34,570 +تمام طلعوا شداد اش اللي طلع معايا الطلع معايا + +730 +00:49:34,570 --> 00:49:41,530 +خلينا نطلع E تبقى و 0 جديش E تبقى و نقص ملا نهاية + +731 +00:49:41,530 --> 00:49:42,030 +جديش + +732 +00:49:44,930 --> 00:49:50,330 +عادي واحد عمله نهاية واحد عمله نهاية لأن E هادي + +733 +00:49:50,330 --> 00:49:54,870 +بتساوي واحد على E تبارك ماله نهاية صح؟ وماذا بيجدى + +734 +00:49:54,870 --> 00:50:03,110 +ايه؟ اتفت مصر اتفت مصر اتفت مصر الكلام اتفت + +735 +00:50:03,110 --> 00:50:03,610 +مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر + +736 +00:50:03,610 --> 00:50:03,610 +اتفت مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر اتفت + +737 +00:50:03,610 --> 00:50:04,550 +مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر + +738 +00:50:04,550 --> 00:50:10,450 +اتفت مصر اتفت مصر اتفت + +739 +00:50:10,450 --> 00:50:17,220 +مصر اهي كانت طيب لما تجهزت مالا نهاية يعني بعد مدة + +740 +00:50:17,220 --> 00:50:20,720 +طويلة انتوا بيقولوا نقص مالا نهاية كده السرقة بقى + +741 +00:50:20,720 --> 00:50:25,680 +هاد روحت بيصيب Q بيصيب C في Y اه لكي Q بيصيب C في + +742 +00:50:25,680 --> 00:50:30,440 +V و V تبعات الكباسيتر صارت بساوي V تبعات البطارية + +743 +00:50:30,440 --> 00:50:34,580 +ولا لأ وانتوا قولتولكم ولا وقتيش بتوقف الحركة لما + +744 +00:50:34,580 --> 00:50:37,220 +صير جودي البطارية بيصيب جودي الكباسيتر اذا هاد + +745 +00:50:37,220 --> 00:50:42,370 +الكلام صحيحالتمام جاب الشحنات وأمالنا انه صحيح + +746 +00:50:42,370 --> 00:50:44,710 +بقول طب جيب الطيار بقول لك ايه الطيار بدي اقول ايه + +747 +00:50:44,710 --> 00:50:48,750 +بساوي DQ على DT بقى بتفضلوا تجيبولي I شباب يللا + +748 +00:50:48,750 --> 00:50:49,250 +نجيب I + +749 +00:50:53,490 --> 00:50:55,770 +where E is the base of the natural logarithm، بما + +750 +00:50:55,770 --> 00:50:59,590 +أنها بتعرفوه، هذا احنا هاين نحطه، مرات بنفكر إنه + +751 +00:50:59,590 --> 00:51:01,650 +لسه على الطالب ماخدهوش، بس نحن اللي بدوه في ال + +752 +00:51:01,650 --> 00:51:05,410 +calculus في البدايات، تمام، to find the current as + +753 +00:51:05,410 --> 00:51:07,230 +a function of time, we differentiate the last + +754 +00:51:07,230 --> 00:51:09,210 +equation، مين الفضل اللي هذه؟ + +755 +00:51:13,220 --> 00:51:21,500 +مش على A سالب A في E اذا D على DX E تبقى من ناقص A + +756 +00:51:21,500 --> 00:51:24,980 +في ال X بيسوي سالب A E تبقى من ناقص A في ال X صح + +757 +00:51:24,980 --> 00:51:29,520 +او لا تمام بيقولي فاضل عشان عندك expression هنيان + +758 +00:51:29,520 --> 00:51:37,510 +فاضلI بيتساوية إذا كانت تفضلت نرجع نفضلها الـ Q + +759 +00:51:37,510 --> 00:51:43,390 +بيساوية Y في C واحد ناقص ايه طبعا ناقص T على RC + +760 +00:51:43,390 --> 00:51:49,410 +هيك جمال الصحق هادي في هادي في هادي اشتقخها إيش + +761 +00:51:49,410 --> 00:51:54,630 +سفر هجت هادي اشتقخها مش بيجي سالب و هنا فيه سالب + +762 +00:51:54,630 --> 00:52:01,210 +موجب C في Y بيجي RC Y على Rمظبوط انا لأ ايه تباول + +763 +00:52:01,210 --> 00:52:05,170 +نقصتي على RC زي ما هي .. هيك طلعت .. حلو؟ ليه ييجي + +764 +00:52:05,170 --> 00:52:08,070 +يشوف ايش اللي حصل معايا .. نرجع بقول اتطلع عليه + +765 +00:52:08,070 --> 00:52:11,510 +ايش بدي يصيب معاك .. لما تيبت 300 جديش طيارة + +766 +00:52:21,380 --> 00:52:24,940 +عشان كده في المعمل الاميتر بيبدأ عالي و بيبدأ طايل + +767 +00:52:24,940 --> 00:52:30,620 +طايل و معاك ولا لا في الآخر بيوقف بيعتبره zero إذا + +768 +00:52:30,620 --> 00:52:33,720 +الطيار بيبدأ سريع بيبدأ عالي و بيبدأ ينزل ينزل و + +769 +00:52:33,720 --> 00:52:38,640 +يطلع و بعدين بيبدأ بطيع هذا مشوف ليش هذا جال + +770 +00:52:38,640 --> 00:52:41,880 +التطلع الشباب جال هذا إيش وحدته + +771 +00:52:46,300 --> 00:52:50,600 +وهادى .. طيب قوم على .. vote على قوم إيش .. برضه + +772 +00:52:50,600 --> 00:52:53,040 +أنبير وهادى أنبير .. جالسة معناته .. هذا ممنوع على + +773 +00:52:53,040 --> 00:52:56,820 +كل وحدات .. ممنوع على كل وحدات طيب هدى سكن إذا هدى + +774 +00:52:56,820 --> 00:52:59,320 +غصب على أنبى الكون سكنت .. إذا جاله عرصى .. هدى + +775 +00:52:59,320 --> 00:53:03,260 +معناته زمان .. هو في حياة وحديدتها سكنت في دهاشر + +776 +00:53:03,260 --> 00:53:06,930 +كون زمان؟في عندكم كمية فيزيائية غير زمن واحدة + +777 +00:53:06,930 --> 00:53:13,170 +تسكن؟ اذا ال Rc غصب عنها بيكون زمن سموه tau وسموه + +778 +00:53:13,170 --> 00:53:18,250 +ال time constant ثابت للزمن تبع ال Rc و ال tau + +779 +00:53:18,250 --> 00:53:22,170 +تسميه Rc فبواحد يقول كيف هذي بيكون ثقل خلنا نرجع + +780 +00:53:22,170 --> 00:53:29,980 +نرجع من الآخر هذي ايش وحدتها؟ ما هذي؟مظهر؟ طيب + +781 +00:53:29,980 --> 00:53:36,860 +برضه نفتش نفتش ال ام عبارة عن vote على أمبير صح؟ + +782 +00:53:36,860 --> 00:53:45,520 +vote على أمبير و هذه كله على + +783 +00:53:45,520 --> 00:53:50,360 +vote، حلو؟ vote مع vote روحت، فهي علاقة بين + +784 +00:53:50,360 --> 00:53:54,660 +الأمبير و الكله؟ أه، هذا عبارة عن هذا روحت كله، + +785 +00:53:54,660 --> 00:53:57,500 +وهذا كله مع السكان، هذا طلع على السكان، أه، هذا صح + +786 +00:53:58,180 --> 00:54:01,460 +إن ان هي second صحيح احنا من أول اتوقع انها second + +787 +00:54:01,460 --> 00:54:05,460 +و احنا مغنضين تمام لكن هي first and second أكيد + +788 +00:54:05,460 --> 00:54:11,160 +تمام ان سكها ايه ان ماقدر أقول RC is time و لا مش + +789 +00:54:11,160 --> 00:54:16,020 +time with a time constant of the circuit ثابت + +790 +00:54:16,020 --> 00:54:19,880 +الزمن طبعا إله مقضعة it is defined at the time + +791 +00:54:19,880 --> 00:54:23,140 +required for the current degrees to its initial + +792 +00:54:23,140 --> 00:54:27,940 +value كيف يعني؟بيقول لي لو T بيسوي تاو، لو T بيسوي + +793 +00:54:27,940 --> 00:54:32,960 +تاو، بيصير هذي Y على R على E، صح ولا لأ؟ إذا هو ال + +794 +00:54:32,960 --> 00:54:37,160 +time required to the current degrees to .. to إيش، + +795 +00:54:37,160 --> 00:54:40,460 +هل في إيه رمزة؟ أنا رايح من هنا، to 1 على E، to 1 + +796 +00:54:40,460 --> 00:54:45,000 +over E, to 1 over E of its initial value، تمام، مش + +797 +00:54:45,000 --> 00:54:49,830 +مشكلة التعريف برضهخلّيني أشرح الـcharge و + +798 +00:54:49,830 --> 00:54:52,110 +الـcurrent مقارنة بالوقت تعرف أسمتي + +799 +00:54:52,110 --> 00:54:55,530 +الـexponential؟ نعرف أسمتي الـexponential هذه أنا + +800 +00:54:55,530 --> 00:55:01,490 +عندي معادلتين أريد أن أرسمهم شبكة الـQ والتيار و + +801 +00:55:01,490 --> 00:55:08,150 +أسمتي المعادلتين أريد أن أكتبهم الـQ سوى C في + +802 +00:55:08,150 --> 00:55:12,990 +أبسلوت واحد ناقص E طبعا ناقص T على الـTau الـRC + +803 +00:55:12,990 --> 00:55:18,790 +سوى الـTau الـIبتساوي epsilon على R E طبعا نقص T + +804 +00:55:18,790 --> 00:55:23,190 +على TAU هدول نبدأ من فوق، كيف أنتوا ترسموا في + +805 +00:55:23,190 --> 00:55:26,570 +الكالكوراصمة؟ بتاخدوا من أكم نقطة و أهم نقطين، + +806 +00:55:26,570 --> 00:55:29,890 +بتاخدوا سفر و نقطة بعيدة، نبدأ من نقطة السفر هنا، + +807 +00:55:29,890 --> 00:55:33,170 +اتفقنا لما تكون سفر واحد نقص واحد ببدأ من الـ0، و + +808 +00:55:33,170 --> 00:55:37,650 +في الآخر بعلش، لو يدفد أرسم شباب هيك بتصير، هاي + +809 +00:55:37,650 --> 00:55:42,290 +الرسمة، ببدأ من السفرالشحنة بتبدأ من الـ zero وبعد + +810 +00:55:42,290 --> 00:55:45,850 +كده بتنتلي بعد ما ينتلي يجيب تعالى تلاتي يوم رابع + +811 +00:55:45,850 --> 00:55:48,790 +يوم بيجي شحنة زيها ده بيظل زي ما هو عشان كده بسمها + +812 +00:55:48,790 --> 00:55:52,910 +ده asymptote مظبوط ولا لأ؟ هاي .. هاي أول queue طب + +813 +00:55:52,910 --> 00:55:55,350 +الطيارة .. الطيارة غالبا كيب السفر .. سفر ايش + +814 +00:55:55,350 --> 00:56:00,250 +بيصير فيه؟ سفر .. sorry أفسر على أعلى وبعدين بيجيب + +815 +00:56:00,250 --> 00:56:04,010 +.. هيك بيصير .. هاي الطيارة بيبدأ من I not و I not + +816 +00:56:04,010 --> 00:56:09,710 +هي دي هيقيمة الطيارة انت بتسوي صفر يعني لانه + +817 +00:56:09,710 --> 00:56:14,090 +اتباهر صفر واحد اذا I not بتسوي epsilon على R تمام + +818 +00:56:14,090 --> 00:56:22,070 +هذه هي رسماتنا في شي هنا هذه مهمة جدا ان شاء الله + +819 +00:56:22,070 --> 00:56:24,970 +في المحاضرة الجاية ما تبقى لان الباقية المعلومات + +820 +00:56:24,970 --> 00:56:27,410 +كتير مهمة بنكمل المرة الجاية + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA.srt new file mode 100644 index 0000000000000000000000000000000000000000..208c9c146215c65396f98f1e59f30c555c7ca254 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA.srt @@ -0,0 +1,2029 @@ +1 +00:00:09,800 --> 00:00:13,040 +بنبدأ بسم الله الرحمن الرحيم ونستأنف ما تبقى من + +2 +00:00:13,040 --> 00:00:19,020 +ال chapter بدينا بالعنوان the RC circuits بسرعة + +3 +00:00:19,020 --> 00:00:24,780 +نعيد اللي سويناه وماخلصناهوش وقلنا إن في عندنا + +4 +00:00:24,780 --> 00:00:30,520 +عملية charging and discharging the capacitor عندي + +5 +00:00:30,520 --> 00:00:34,820 +الدائرة اللي أنتو شايفينها عندي بطارية متصلة + +6 +00:00:34,820 --> 00:00:38,740 +بالتوالي مع مقاومة و the capacitor is + +7 +00:00:38,740 --> 00:00:44,180 +initially empty وبدي أنا أشحنه the figure shows a + +8 +00:00:44,180 --> 00:00:48,300 +capacitor initially uncharged connected in series + +9 +00:00:48,300 --> 00:00:52,420 +with a resistor if the switch capital S is thrown + +10 +00:00:52,420 --> 00:00:57,020 +at point one to connect the battery the capacitor + +11 +00:00:57,020 --> 00:01:00,240 +will begin to charge creating a current in the + +12 +00:01:00,240 --> 00:01:03,140 +circuit واتفقنا إنه في الدائرة الكهربائية أعتقد + +13 +00:01:03,140 --> 00:01:05,980 +إنه كان في عينكم جلفانوميتر أو أميتر بيكون صح ولا + +14 +00:01:05,980 --> 00:01:10,560 +لأ؟ يعني بيكون متصل هنا أميتر أو جلفانوميتر وفي + +15 +00:01:10,560 --> 00:01:15,120 +مؤشر أول ما أسكر المفتاح وأبدأ أشتغل على طول بأشر + +16 +00:01:15,120 --> 00:01:19,740 +الاميتر ليش؟ لأنه بدأت الشحنات تنتقل عشان عملية + +17 +00:01:19,740 --> 00:01:22,860 +شحن المكثف أول ما تحركت الشحنات صار في تيار + +18 +00:01:23,220 --> 00:01:27,120 +فالاميتر أو جلفانوميتر مؤشره بصير deflection + +19 +00:01:27,120 --> 00:01:31,180 +دليل على أنه رصد هناك تيار هي detect a current + +20 +00:01:31,180 --> 00:01:36,340 +تمام وهنتفق لهاي التيار اللي صار detection في + +21 +00:01:36,340 --> 00:01:40,400 +الدائرة هذه حركة الشحنات الموجبة أو بما آخر اتجاه + +22 +00:01:40,400 --> 00:01:46,020 +التيار الكهربائي وصور عندي ال capacitor مشحون و + +23 +00:01:46,020 --> 00:01:50,280 +بنضمن أشحان فيه لما يصير fully charged ولما يصير + +24 +00:01:50,280 --> 00:01:54,840 +fully charged بدي يصير ال capacitor والبطارية + +25 +00:01:54,840 --> 00:01:59,650 +جهدهم بسوء بعض في هذه الدائرة، مظبوط ولا لأ؟ طبعا + +26 +00:01:59,650 --> 00:02:03,490 +نجي المنطق بيقول إيش هذا التيار اللي أنتو شايفين + +27 +00:02:03,490 --> 00:02:07,690 +حركته هذا .. هذا من البطارية جاية صحيح ولا لا؟ + +28 +00:02:07,690 --> 00:02:10,950 +يعني هذا تيار البطارية وكل ما عطيها البطارية ده + +29 +00:02:10,950 --> 00:02:14,590 +هو واحنا متفقين إن التيار هو اتجاهه باتجاه حركة + +30 +00:02:14,590 --> 00:02:18,730 +الشحنات الموجبة .. تمام أول ما ال capacitor بدأ + +31 +00:02:18,730 --> 00:02:25,530 +ينشحن صار برضه له تيار صح ولا لا؟ تياره برضه من + +32 +00:02:25,530 --> 00:02:27,190 +الموجبة للسالب بيكون بهذا الشكل + +33 +00:02:32,330 --> 00:02:38,450 +التنين مع بعض ولا عكس بعض لما نقول ال KS صارت مش + +34 +00:02:38,450 --> 00:02:41,930 +من القطب الموجب لقطب السالب طب هاي الموجب للسالب + +35 +00:02:41,930 --> 00:02:48,390 +هاي الموجب هتبقى الكماسيتر هجيه التيار الكل اللي + +36 +00:02:48,390 --> 00:02:52,770 +في الدائرة مش I battery ناقص Ic صح ولا لأ I + +37 +00:02:52,770 --> 00:02:59,770 +battery ناقص Ic أول حاجة كان الكبسطر فاضي IC0 بقت + +38 +00:02:59,770 --> 00:03:02,970 +كده يا عمال ال IC بزيد .. بزيد .. بزيد .. بزيد .. + +39 +00:03:02,970 --> 00:03:08,010 +والتيار عندي بنجسط لأن ال I total شباب I total + +40 +00:03:08,010 --> 00:03:11,770 +اللي بيجيسه الأنميطة يساوي I تماع ال battery ناقص I + +41 +00:03:11,770 --> 00:03:16,090 +تماع الكبسطر صح ولا لأ؟ لما يكون هذا صفر هذا يكون + +42 +00:03:16,090 --> 00:03:21,220 +I battery لما هذا يزيد إيش مصرفي هذا؟ بنجرس لما هذا + +43 +00:03:21,220 --> 00:03:24,300 +يساوي هذا كده بيصير هذا؟ Zero وقت إيش هذا بيصير + +44 +00:03:24,300 --> 00:03:27,000 +يساوي هذا؟ لما يساوي هذا هذا بيساوي جده هذا؟ مظبوط + +45 +00:03:27,000 --> 00:03:31,500 +ولا لا؟ إذا لما يدخل المكفف بيصير وكأنه يقول + +46 +00:03:31,500 --> 00:03:34,420 +البطارية زي ما أنت إيه لك أنا إللّي هاي التيار فهاي + +47 +00:03:34,420 --> 00:03:36,860 +التيار صاروا مع بعض بيصير التيار كله في الداخل + +48 +00:03:36,860 --> 00:03:41,160 +Zero عشان كده التيار بيبدأ عالي وينزل وينزل وينزل + +49 +00:03:41,160 --> 00:03:45,360 +لما يساوي في الآخر Zero لما بيصير التيارين بيساووا + +50 +00:03:45,360 --> 00:03:52,760 +بعض تمام أحنا هاي الشغل اللي شرحناها رياضيا، قولنا + +51 +00:03:52,760 --> 00:03:55,940 +let I be the current in the circuit at some + +52 +00:03:55,940 --> 00:04:00,600 +instant during the charging process and Q be the + +53 +00:04:00,600 --> 00:04:03,920 +charge on the capacitor at the same instant، بدنا + +54 +00:04:03,920 --> 00:04:07,460 +نطبق كرشوف في شباب قلنا كيرشوف ونشتغل عليها لوب + +55 +00:04:07,460 --> 00:04:12,100 +مغلقان يبدأ بالبطارية وقلنا epsilon ناقص I في ال R + +56 +00:04:12,100 --> 00:04:15,500 +ناقص Q على C ال Q على C هي فرق جهد بين طرفيه + +57 +00:04:15,500 --> 00:04:19,080 +بكباسة R وبما إنه أنا ماشي من العادل للواطي الفرق + +58 +00:04:19,080 --> 00:04:22,380 +بيكون سالب مظبوط ولا لأ بما إن أنا ماشي من العادل + +59 +00:04:22,380 --> 00:04:25,160 +الواطي من الموجب للسالب اللي معناته الفرق بيكون + +60 +00:04:25,160 --> 00:04:29,480 +سالب هيك اشتغلنا عليها وقلنا هذه الدائرة عندي ورقة + +61 +00:04:29,480 --> 00:04:36,320 +بين Q وI وقلت I بيساوي DQ على DT فقولتهي صرت هيك + +62 +00:04:36,320 --> 00:04:41,160 +فجيت هذه الدائرة لو جيت أنا بدي اشتغلها اشتغلها + +63 +00:04:41,160 --> 00:04:47,240 +بقول خليني أجسم على a في المعادلة عشان مايقبطاش + +64 +00:04:47,240 --> 00:04:56,560 +خبز أصير epsilon على a ناقص dq على dt ناقص q على + +65 +00:04:56,560 --> 00:05:00,420 +rc بالثلاث أسافر صح شباب هيك تمام + +66 +00:05:02,960 --> 00:05:09,320 +جيب هذا هنا وهذا هنا فبتصير عندك ال DQ على DT + +67 +00:05:09,320 --> 00:05:17,080 +بتساوي Epsilon على A ناقص Q ساعة زائد على AC لأ + +68 +00:05:17,080 --> 00:05:30,000 +ناقص مظبوط هيك ولا لأ طيب نجد المواحد هدول مظبوط + +69 +00:05:30,000 --> 00:05:39,780 +هيك وانشش تارتر بيعني صحيح صحيح هذه وديها على ال + +70 +00:05:39,780 --> 00:05:46,620 +bus وهذه بيجيبها على المقام، بنفع؟ ده مادري ما هو + +71 +00:05:46,620 --> 00:05:54,840 +هذه لما تيجي بيصير DQ على Y في C نقص Q بيساوي DT + +72 +00:05:54,840 --> 00:06:01,360 +على AC بالسالب طبعا لأنه أنا عندي عكسة + +73 +00:06:03,650 --> 00:06:08,390 +كيو .. إذا عكست هنا دي هيت بصير تمام إذا من أنا + +74 +00:06:08,390 --> 00:06:13,810 +طوال إيه إيش عملت دي كيو على س نقص كيو بيساوي دي ت + +75 +00:06:13,810 --> 00:06:17,590 +على العاصر، هاي اللي صارت العلاقة بصورة بسيطة، + +76 +00:06:17,590 --> 00:06:20,710 +المرة دي كيك خبطة خبطة واحدة، بيجي نتواجه إنه أنا + +77 +00:06:20,710 --> 00:06:26,970 +بعمل شغلة مش واضحة، صارت هذه المعادلة حاجة هذه + +78 +00:06:26,970 --> 00:06:30,030 +المعادلة الشباب مش بدي أسوي فيها بدي أكملها من + +79 +00:06:30,030 --> 00:06:33,410 +integrating both sides of the last equation we get + +80 +00:06:33,410 --> 00:06:41,090 +هذه هي فقولت إيش بدي أسوي؟ واخلت CY مقص Q بتساوي U + +81 +00:06:41,090 --> 00:06:51,170 +مظبوط هيك ولا لأ صح إنك ماقص DQ بتساوي DU مظبوط؟ + +82 +00:06:51,170 --> 00:06:59,450 +روح اعوض بادر الـDQ بدعوت سالب DU فصارت سالب DU على + +83 +00:06:59,450 --> 00:07:04,990 +U فهذا السالب بحطه هنا سالب واحد على عرسي تكامل DT + +84 +00:07:04,990 --> 00:07:13,730 +فصارت هيك إيش تكامل ال DU على U من ال U وتكامل ال + +85 +00:07:13,730 --> 00:07:21,990 +DTT فصارت اليوم هي هذه فصارت لنا طبعا لما أعود CY + +86 +00:07:21,990 --> 00:07:28,010 +نقص Q على CY بستوي ناقص T على RC ناقص T على RC + +87 +00:07:28,010 --> 00:07:33,170 +طبعا هنا اللي صارت فوق وتحت من هدول التكامل مرة + +88 +00:07:33,170 --> 00:07:38,150 +علاقة بصفر ومرة علاقة بQ تمام؟ عشان أجيب هذه + +89 +00:07:38,150 --> 00:07:40,530 +بتقدروا بترفيه المعادلة أو أجيب ال explanation + +90 +00:07:40,530 --> 00:07:46,320 +لترفيه المعادلة فطلعت عندي بهذا الشكل طبعا اشتغل + +91 +00:07:46,320 --> 00:07:52,000 +شغل بسيط طلعت بهذه الصورة لما نيجي نتطلع شباب، إيش + +92 +00:07:52,000 --> 00:07:59,740 +هي هذه؟ هذه فرق جهد في C مظبوط ولا لأ؟ فرق جهد في + +93 +00:07:59,740 --> 00:08:05,920 +CQ تمام؟ لكن هذه Q بقدر أقول أنا Q maximum ولا لأ؟ + +94 +00:08:05,920 --> 00:08:11,200 +لأن هذه أقصى جهد بياخده ال capacitor ولا لأ؟ + +95 +00:08:11,200 --> 00:08:15,080 +واحنا قلنا لأ وقت إيش ال capacitor بينتلي لما جهده + +96 +00:08:15,080 --> 00:08:18,780 +بيساوي جهد البطارية وجهد البطارية قد إيش؟ Epsilon + +97 +00:08:18,780 --> 00:08:25,400 +إذا هذه Q maximum هذه هي Q maximum تمام؟ + +98 +00:08:28,000 --> 00:08:32,640 +هل دائما اكيو ماكسيما بالساوية C في Y؟ لأ حسب + +99 +00:08:32,640 --> 00:08:37,080 +الدائرة حسب الدائرة عدنا هتشوفوا حال الحلم سائل + +100 +00:08:37,080 --> 00:08:40,900 +where E is the base of the natural logarithm هو هم + +101 +00:08:40,900 --> 00:08:43,640 +اتفقناها to find the current as a function of time + +102 +00:08:43,640 --> 00:08:46,820 +we differentiate طلعت التيار إذا أثر في عندي + +103 +00:08:46,820 --> 00:08:51,760 +معاجلة بتقول Q بالساوية Q maximum واحد ناقص إيه؟ + +104 +00:08:51,760 --> 00:08:57,610 +تبقى واحد ناقص T على RC ولما أجيب التيار شباب + +105 +00:08:57,610 --> 00:09:05,030 +طلعته بتساوي وهذا طلع هو التيار لما T بتساوي سفر + +106 +00:09:05,030 --> 00:09:11,310 +وطلع عند التيار I بتساوي I not E to power ناقص T + +107 +00:09:11,310 --> 00:09:16,830 +على RC هذه المعادلتين اللي طلعوا معايا بعد ما اشتقت + +108 +00:09:16,830 --> 00:09:23,330 +اي نوت هو التيار ان ت بتساوي سفر وهيك احفظها لما + +109 +00:09:23,330 --> 00:09:26,430 +أقول v note إيش v note عندك معلومة عنها مش صراحة + +110 +00:09:26,430 --> 00:09:30,030 +كدرية يعني v ال t بتساوي سفر ولا لا وI note هو + +111 +00:09:30,030 --> 00:09:34,270 +التيار ان ت بتساوي سفر وهيك احفظها تمام؟ إذن I + +112 +00:09:34,270 --> 00:09:37,750 +NOT هي قيمة التيار NT بتساوي سفر هاي المصطلح + +113 +00:09:37,750 --> 00:09:42,590 +تبعها طلعناها شباب هاي المعادلتين طبعا شباب أنا T + +114 +00:09:42,590 --> 00:09:46,730 +بتساوي RC اتفقنا عليها إنه بما إنه هذا I وهذه I + +115 +00:09:46,730 --> 00:09:50,110 +NOT إذا لازم هذه مايكونهاش واحدة اشتغلت أنا وياكم + +116 +00:09:50,110 --> 00:09:53,630 +وطلعت RC لازم وحدتها تكون second وطلعت معانا + +117 +00:09:53,630 --> 00:09:57,110 +second عشان كده سموها the time constant of the + +118 +00:09:57,110 --> 00:09:59,990 +circuit وإيش تعرفها؟ قال ليش من كده بدي أعرفها + +119 +00:09:59,990 --> 00:10:04,330 +بيقول لما T بيساويتها وبيصير هذي واحد على E وهذه + +120 +00:10:04,330 --> 00:10:08,910 +قيمة الأولانية إذا هو الزمن اللازم عشان التيار + +121 +00:10:08,910 --> 00:10:13,930 +يصير واحد على E من قيمته الأصلية فهيك يعرف بيقولك + +122 +00:10:13,930 --> 00:10:17,220 +it's defined as the time required for the current + +123 +00:10:17,220 --> 00:10:23,280 +to decrease to 1 over E of its initial value طبعا + +124 +00:10:23,280 --> 00:10:27,380 +أنا وهذا الاشتغالة وإن كانت احنا غالبا مانجيبهوش + +125 +00:10:27,380 --> 00:10:30,400 +لكن أنا ممكن أشتقه بطريقة أخرى شبابنا وياكم نعملنا + +126 +00:10:30,400 --> 00:10:34,100 +شوية محاضرة refresh calculus نشوف كيف نتعامل معاها + +127 +00:10:34,100 --> 00:10:40,140 +أنا بديت في معادلة هذه هذه المعادلة + +128 +00:10:40,140 --> 00:10:42,600 +بدي أحلها واتفقنا ال differential equation ومش + +129 +00:10:42,600 --> 00:10:45,240 +عارف إيه شو بيجيب منها خليني أحلها بطريقة ثانية + +130 +00:10:46,970 --> 00:10:50,230 +جيبت Q من Q جيبت I .. بدي إحنا الطريقة أجيب I وبعدين + +131 +00:10:50,230 --> 00:10:53,990 +أجيب Q .. نشوف كيف نطلع معاه .. لو جيت شباب + +132 +00:10:53,990 --> 00:10:57,850 +.. بدي افضل المعادلة دي .. بنعرف إن فاضل .. و + +133 +00:10:57,850 --> 00:11:02,770 +بنعرف إيش .. طيب .. إيش اللي متغير معادي الزمن؟ .. + +134 +00:11:02,770 --> 00:11:05,890 +إيش متغير مع الزمن؟ .. إيه الكمشراتين .. تيار و + +135 +00:11:05,890 --> 00:11:10,550 +شحنات .. بتتغير أيسل مع الزمن؟ .. رفضلوها معادي + +136 +00:11:10,550 --> 00:11:17,370 +الزمن .. سفر .. أرض تتغير مع الزمن؟ + +137 +00:11:17,370 --> 00:11:24,170 +1 على C تتغير مع الزمن؟ هذه + +138 +00:11:24,170 --> 00:11:30,040 +إيش هي؟ ولا لأ؟ ماشي إيه إيه؟ طب صارت عندي .. الله + +139 +00:11:30,040 --> 00:11:34,200 +سعيد عليك الصغير طبعا صارت عندي سالب أو خلي هذه + +140 +00:11:34,200 --> 00:11:41,460 +السالب هي الموجب R Di على Dt بالساوي السالب هذه + +141 +00:11:41,460 --> 00:11:45,600 +خليها تروح هنا وهنا السالب يعني بالساوي واحد على + +142 +00:11:45,600 --> 00:11:52,820 +C في I مصبوط ولا لأ؟ تمام جيبلي ال R هنا بنفع؟ + +143 +00:11:52,820 --> 00:11:54,500 +بنفع + +144 +00:11:57,190 --> 00:12:02,250 +الـ I هادي بدي أضعها في المقام يعني أجسم طرفي + +145 +00:12:02,250 --> 00:12:06,710 +المعادلة في الـ I وأضرب طرفي المعادلة في DT صار + +146 +00:12:06,710 --> 00:12:12,810 +عندك DI over I سوى ماقص T وهنا واحد على RC ولا لأ + +147 +00:12:12,810 --> 00:12:17,370 +DT sorry صح + +148 +00:12:17,370 --> 00:12:24,230 +ولا لأ كامل يامان كامل من سيف اللاتين هذه عندي صفر + +149 +00:12:24,230 --> 00:12:28,730 +في I NOT وعندي T في I I دائما صفر بيقابلها I NOT + +150 +00:12:28,730 --> 00:12:33,130 +صفر بيقابلها V NOT صح ولا لأ تمام إيش هيكمل D I + +151 +00:12:33,130 --> 00:12:37,570 +على I لأن ال I من I ل I NOT لأن ال I على I NOT ولا + +152 +00:12:37,570 --> 00:12:43,390 +لأ إذا هذه المعادلة صارت لأن I على I NOT إيش هيكمل + +153 +00:12:43,390 --> 00:12:52,980 +DT من صفر ل T T سوى سالب T على RC طلع I فقط I + +154 +00:12:52,980 --> 00:13:02,100 +بتساوي I not هي تباور نخستي على أرسل صحيح؟ + +155 +00:13:02,100 --> 00:13:08,460 +صحيح هي نفسها تاكي بيدي جي بي كيو جالي جي بي كيو + +156 +00:13:08,460 --> 00:13:17,160 +برضه أنت بتعرف إن I بتساوي DQ على DT إذا DQ بتساوي + +157 +00:13:17,160 --> 00:13:28,530 +I DT صح ولا لأ؟ إذا DQ هو I نقطة نقص T على RC DT + +158 +00:13:28,530 --> 00:13:35,130 +كامل طرفي المعادلة هذي من صفر لـQ لأنه كان في + +159 +00:13:35,130 --> 00:13:40,470 +الأول فاضي وهذي من صفر لـT إيش هي كامل الـDQ من + +160 +00:13:40,470 --> 00:13:45,990 +صفر لـQ Q ياما كاملولي اي تبوة نقص T على RC كاملولي + +161 +00:13:45,990 --> 00:13:53,750 +اي تبوة نقص Alpha Xناقص واحد على الفا ناقص واحد + +162 +00:13:53,750 --> 00:13:57,670 +على RC و ال RC في المقام بصير في البسط بس إذا ناقص + +163 +00:13:57,670 --> 00:14:07,030 +RC E طبعا ناقص T على RC من صفر لT فهذا الناقص + +164 +00:14:07,030 --> 00:14:14,010 +أجيبه وأحط هنا T وأحط هذه صفر اعكس في عينيك اه + +165 +00:14:14,010 --> 00:14:17,950 +في عينيك عكسك + +166 +00:14:19,370 --> 00:14:21,790 +بنجي العوض إيش لما يكون فيه صفر ا طبعه صفر كده + +167 +00:14:21,790 --> 00:14:29,930 +إيش؟ واحد إذا بتساوي I not RC واحد ناقص طب هنا T ا + +168 +00:14:29,930 --> 00:14:33,570 +طبعه ناقص T على RC طب هذه كيف بيديجيها؟ مش هي + +169 +00:14:33,570 --> 00:14:39,750 +عبارة عن Y على R I not Y على R إلا لما R راحت وY + +170 +00:14:39,750 --> 00:14:45,420 +في C اللي هي Vq maximum هي نفسها فتتشغلكوا ولا + +171 +00:14:45,420 --> 00:14:48,0 + +201 +00:17:12,910 --> 00:17:18,050 +سفر إذا I بيساوي Y على R عن T بيساوي سفر طلعت هنا + +202 +00:17:18,050 --> 00:17:23,130 +طب قل لي في شغلة كتير حلوة طلعت جيبها ده وحط محله + +203 +00:17:23,130 --> 00:17:31,820 +سفر من يقول أن جديش تيار هو نفسه إذا أنتِ بالساوي + +204 +00:17:31,820 --> 00:17:36,480 +سفر وكأنه ال capacitor أنا جمتَه و حطيت محله ال + +205 +00:17:36,480 --> 00:17:42,840 +silicon short circuit تمام يعني على طول أنا بخليه + +206 +00:17:42,840 --> 00:17:46,620 +هيك لو خليته والكيّب جاعل بقول أنا أعمل هيك أي + +207 +00:17:46,620 --> 00:17:50,720 +short circuit هذه الملاحظة جدا مهمة وجدا عليها + +208 +00:17:50,720 --> 00:17:53,880 +أسئلة في الكوزات وفي الامتحانات بيقول that if the + +209 +00:17:53,880 --> 00:18:01,760 +capacitor acts as if it were إذا كنت أستخدم طرفين + +210 +00:18:01,760 --> 00:18:07,300 +وسلك فهو يعمل + +211 +00:18:07,300 --> 00:18:10,660 +كأنه بين طرفين وسلك وهو كأنه بين طرفين وسلك يعمل + +212 +00:18:10,660 --> 00:18:22,190 +كأنه بين طرفين وسلك يعمل كأنه بين طرفين وسلك تمام؟ + +213 +00:18:22,190 --> 00:18:24,490 +إذا من اليوم اللي طالع لما يقول لي بيدي شغل قدتي + +214 +00:18:24,490 --> 00:18:27,390 +بتساوي صفر على طول بجي من ال capacitor وبحط محله + +215 +00:18:27,390 --> 00:18:30,230 +سيليكي وبتعامل مع الدائرة ولا كأنه في ال + +216 +00:18:30,230 --> 00:18:34,990 +capacitor موجود طب بيقول لي أفضل عليهم ال time اه + +217 +00:18:34,990 --> 00:18:39,370 +بيساوي I note ايه تبقى ماخسّتيه على tau طب حاط هدى + +218 +00:18:39,370 --> 00:18:44,090 +مانا نهاية صارت صفر مظلوم لأ طب وقتش في أي دائرة + +219 +00:18:44,090 --> 00:18:47,810 +بتكون التيار صفر لأن بتكون مفتوحة بيقول لي بتكون + +220 +00:18:47,810 --> 00:18:51,850 +الدائرة كان هيك يبقوا التيار هناك إذا هذه هي + +221 +00:18:51,850 --> 00:18:57,640 +الدائرة، إذا بيقول لي That is the capacitor acts as + +222 +00:18:57,640 --> 00:19:02,180 +if it were an open switch بتعامل معها وكأنها مفتوحة + +223 +00:19:02,180 --> 00:19:05,660 +في الدقيقة لما يقول لي T بيساوي من النهاية شباب إذا + +224 +00:19:05,660 --> 00:19:08,420 +أنا في ال ending هجيت ملاحظتين كتير مهمات عن T + +225 +00:19:08,420 --> 00:19:11,700 +بيساوي سفر ايش بدي أعمل ال capacitor وعن T بيساوي + +226 +00:19:11,700 --> 00:19:14,500 +من النهاية ايش بدي أعمل ال capacitor عن T بيساوي + +227 +00:19:14,500 --> 00:19:18,000 +سفر بجي من ال capacitor محله سلك وعن T بيساوي من + +228 +00:19:18,000 --> 00:19:22,690 +النهاية خل ال capacitor بصبح بعامله كأنه في فتحة في + +229 +00:19:22,690 --> 00:19:25,190 +الدائرة يعني دي قلة مفتوحة في ال ... في الدوائر + +230 +00:19:25,190 --> 00:19:28,090 +اللي فيه الكفارسترالز احنا هنحل ... أنا جايب سؤال + +231 +00:19:28,090 --> 00:19:32,790 +خارجي عشان أنا مثلا الكتاب بتغطي الشدد ايه الفكرة؟ + +232 +00:19:32,790 --> 00:19:34,710 +الآن this is the charging process لنشوف ايش ... + +233 +00:19:34,710 --> 00:19:36,990 +أخبار ال this is the charging ايش بده يصير هل ال + +234 +00:19:36,990 --> 00:19:39,710 +... الورقين التاوة اللي اشتقتهم في ال charging أن + +235 +00:19:39,710 --> 00:19:43,310 +q بالساوة q maximum واحد ناقص اتوا بوا ناقص تي على + +236 +00:19:43,310 --> 00:19:47,610 +تاو وال I بالساوة I not اتوا بوا ناقص تي على تاو + +237 +00:19:47,610 --> 00:19:51,820 +هدول القانونين تبعون ال charging process واتفقنا أن + +238 +00:19:51,820 --> 00:19:57,180 +هنا Q بيبدأ 0 وبصير maximum هنا تيار يبدأ maximum + +239 +00:19:57,180 --> 00:20:01,180 +وبصير 0 نشوف ال process ايش بصير هاي الدائرة + +240 +00:20:01,180 --> 00:20:05,680 +بيقول suppose that the capacitor is now fully + +241 +00:20:05,680 --> 00:20:08,700 +charged أنا دلوقتي هستني لما اتأكدت أن ال + +242 +00:20:08,700 --> 00:20:13,140 +capacitor بعد كده بطل ياخد شحنات انتهى such that + +243 +00:20:13,140 --> 00:20:15,560 +its potential difference is equal to the + +244 +00:20:15,560 --> 00:20:21,750 +epsilon حلو؟ إن فرقة جوهره تبعه بيساوي إبسلوت إذا + +245 +00:20:21,750 --> 00:20:26,370 +كان السويتش مضطر لـ 0.2 إذا كان السويتش مضطر لـ 0 + +246 +00:20:26,370 --> 00:20:28,010 +.1 إذا كان السويتش مضطر لـ 0.2 إذا كان السويتش + +247 +00:20:28,010 --> 00:20:28,190 +مضطر لـ 0.1 إذا كان السويتش مضطر لـ 0.1 إذا كان + +248 +00:20:28,190 --> 00:20:28,790 +السويتش مضطر لـ 0.1 إذا كان السويتش مضطر لـ 0.1 + +249 +00:20:28,790 --> 00:20:31,170 +إذا كان السويتش مضطر لـ 0.1 إذا كان السويتش مضطر + +250 +00:20:31,170 --> 00:20:36,790 +لـ 0.1 إذا كان السويتش مضطر لـ 0.1 إذا كان السويتش + +251 +00:20:36,790 --> 00:20:42,970 +مضطر لـ 0.1 إذا كان السويتش مضطر لـ 0.1 إذا كان + +252 +00:20:42,970 --> 00:20:48,510 +السويتش مضاتحضوا مع بعض Positive و negative عملوا + +253 +00:20:48,510 --> 00:20:52,190 +مفضي طيب اتحركت الشحنات ولا ما اتحركتش؟ أن ال + +254 +00:20:52,190 --> 00:20:54,710 +meter بدّه يعمل deflection ولا لا؟ بدّه يعمل + +255 +00:20:54,710 --> 00:20:57,350 +deflection وبين أن في تيار، بدّه يجي التيار، لأن + +256 +00:20:57,350 --> 00:21:01,830 +هذا التيار ثابت ولا عمله مينغاس؟ مينغاس لأنه مش زي + +257 +00:21:01,830 --> 00:21:04,690 +البطارية، البطارية فقط هنا ثابت أما هذا تيار + +258 +00:21:04,690 --> 00:21:07,890 +موثقله، مش شحناته، مش شحناته عمله مينغاس، إذا + +259 +00:21:07,890 --> 00:21:11,410 +موثقله مينغاس، إذا التيار عمله مينغاس، لأنه يفضل + +260 +00:21:11,410 --> 00:21:15,500 +كمثلة، مش تيار بيكون يرجع لـ Zero فبهذه المعلومة + +261 +00:21:15,500 --> 00:21:18,900 +يقنع يشوف أن أنا نشتاقها جالي هذه اللي بيحرك فيها + +262 +00:21:18,900 --> 00:21:22,420 +الدوائر الحمراء بقدر أعملها Loop ولا مش Loop يعني + +263 +00:21:22,420 --> 00:21:25,260 +أنا بفتبق عليها قانون كيرشوف الثاني ولا لا اكم + +264 +00:21:25,260 --> 00:21:30,320 +عنصر فيه اثنين نبدأ من ال capacitor ماشي من واطع + +265 +00:21:30,320 --> 00:21:35,430 +لعلي ولا من العلي لواطعييعني من واطل عالي is + +266 +00:21:35,430 --> 00:21:39,550 +الموجب طب وهو أول مقاومة سالب سالب لأننا ماشي مع + +267 +00:21:39,550 --> 00:21:42,950 +التيار والتيار هي الخط المخطوط الأحمر إذا let I + +268 +00:21:42,950 --> 00:21:44,850 +be the current in the circuit of some instant + +269 +00:21:44,850 --> 00:21:47,910 +during this process اللي هي this charging process + +270 +00:21:47,910 --> 00:21:50,610 +and Q be the charge on the capacitor at the same + +271 +00:21:50,610 --> 00:21:54,150 +instant applying Kirchhoff's rule to the loop we + +272 +00:21:54,150 --> 00:21:58,770 +get Q على C positive مقص I في الار بالساوي سفر حلو + +273 +00:21:58,770 --> 00:22:05,290 +نرجع substituting for I بتساوي DQ على DT بتساوي + +274 +00:22:05,290 --> 00:22:12,570 +سالب DQ على DT طب ليش سالب حتة؟ عشانها بينجص عشان + +275 +00:22:12,570 --> 00:22:18,610 +بينجص Q تتغير بالنقصان ولما يكون التغير بالنقصان + +276 +00:22:18,610 --> 00:22:24,460 +يكون سالب أخدته زمان هذا وهذا هذا طبعا نموذج ولا + +277 +00:22:24,460 --> 00:22:29,200 +سالب وهذا لأن هذا تناقصي ولا تزايدي وأنا عندي + +278 +00:22:29,200 --> 00:22:31,640 +الشحنات أنا بعرف ايش بيسوي أنا بعمل discharging + +279 +00:22:31,640 --> 00:22:36,140 +process لأن Q is decreasing ولما Q is decreasing + +280 +00:22:36,140 --> 00:22:40,660 +إذا I بالساوية سالب DQ على DT I بالساوية سالب DQ + +281 +00:22:40,660 --> 00:22:44,220 +على DT ده اللي عوض معاها عوضنا طلعت هذه المعادلة + +282 +00:22:44,220 --> 00:22:51,400 +DQ على Q بالساوية سالب 1 على RC DT كامل طرفي + +283 +00:22:51,400 --> 00:22:57,320 +المعادلة ليش هيك عامل حدود التكامل الشباب؟ طلعوا + +284 +00:22:57,320 --> 00:23:02,780 +على هذه ... هذه أنا لأ من صفر لإيه؟ لأنه كان مليان + +285 +00:23:02,780 --> 00:23:05,920 +في الأول ... وفي عادية أنا ده عامل دي من الآخر ... + +286 +00:23:05,920 --> 00:23:08,740 +وأي وقت ما كان ... لأ أي ... لأ أي queue ... بس في + +287 +00:23:08,740 --> 00:23:14,640 +الأول ... إذا حاطيتها دي مدى نهاية يعني بحطها دي صفر + +288 +00:23:14,640 --> 00:23:18,760 +بس أنا حطيت ايه كده بس for any time إذا هذه for + +289 +00:23:18,760 --> 00:23:22,620 +any queue لما تقولها دي من النهاية بتوقع عليها صفر + +290 +00:23:22,620 --> 00:23:25,900 +لكن أنا بدي أجيب علاقة أو a function of T وقولت هذه + +291 +00:23:25,900 --> 00:23:28,580 +متى ... مثلا إذا بقولها دي queue تبعد T تبعدك اللي + +292 +00:23:28,580 --> 00:23:32,780 +أنت حطيتها دي تمام فأنا بأجيب علاقة عامة فأبحطش هنا + +293 +00:23:32,780 --> 00:23:35,960 +صفر إلا إذا كنت حطيت هنا ال maximum time أو ال + +294 +00:23:35,960 --> 00:23:40,500 +maximum time مش حاطه تمام ايش تكامل ال DQ على كده؟ + +295 +00:23:41,060 --> 00:23:44,560 +من Q ... من Q maximum ل Q ... من Q small على Q + +296 +00:23:44,560 --> 00:23:48,160 +maximum ولا لا تمام ... وهي ايش تكامل ال DT؟ T طب + +297 +00:23:48,160 --> 00:23:52,620 +أصبح للعلاقة ... صحيح؟ طيب نأخذ ال exponential من + +298 +00:23:52,620 --> 00:23:54,800 +الطرفين ... نأخذ ال exponential من الطرفين ... تبص + +299 +00:23:54,800 --> 00:23:59,820 +المعادلة تطلع ال Q ايش صارت؟ غير عن هذه ... هذه Q + +300 +00:23:59,820 --> 00:24:03,080 +maximum واحد ناقص ... هذه ايه؟ طب بيجي نتطلع ... هذا + +301 +00:24:03,080 --> 00:24:08,420 +ال discharging ... لما T بتساوي صفر ... جديش Q؟ + +302 +00:24:08,420 --> 00:24:13,900 +بتساوي Q maximum ولما T جُسده مالنهاية، سفر، إذا + +303 +00:24:13,900 --> 00:24:17,440 +هذي تناسب للـ Discharging، وهذي بتناسب للـ + +304 +00:24:17,440 --> 00:24:20,680 +Discharging كمان، مافيش تناقش، هذي Discharging و + +305 +00:24:20,680 --> 00:24:23,440 +هذي Discharging، فنشوف التيار، قبل ما نشوف + +306 +00:24:23,440 --> 00:24:26,680 +التيار، احنا قولنا في الأول، في الـ Discharging، + +307 +00:24:26,680 --> 00:24:30,800 +التيار بدّه يكون كبير تبع المقارنة، و Bolt هي سفر، لأنه + +308 +00:24:30,800 --> 00:24:35,480 +بصير فيه تياران من غباهمهنا ببدأ كبير وبنتهي سفر + +309 +00:24:35,480 --> 00:24:39,240 +لأنه فضل يكبس أطار، أنت تتوقع إنه يكون نفس الصيغة + +310 +00:24:39,240 --> 00:24:42,580 +ولا لا؟ نفس الصيغة، لأنه في الحلقين ببدأ كبير + +311 +00:24:42,580 --> 00:24:46,600 +وبالاخر ببدأ سفر، وإن كان ليه سواء سفر بالسبب + +312 +00:24:46,600 --> 00:24:49,460 +بيختلف، هنا سواء سفر لأن التيارين لغوا بعض، هنا + +313 +00:24:49,460 --> 00:24:53,620 +سواء سفر لأن ال capacitor الوحيد، بعد التيار خلص + +314 +00:24:53,620 --> 00:24:57,780 +fully، ما بقالش عنده شحنات نقدر نستحق نشوف هي اللى + +315 +00:24:57,780 --> 00:25:00,920 +بتطلع صح ولا كام دي D في I دالة the current in + +316 +00:25:00,920 --> 00:25:03,440 +the rate of decrease of a charge ماهو I بالساعة و + +317 +00:25:03,440 --> 00:25:08,460 +ساعة D فيه وعلى D تاو عملناها فاضل فاضل طب و + +318 +00:25:08,460 --> 00:25:11,080 +لما فاضل ايه أخف لأ بلاش أنا أنا فاضل على دربة + +319 +00:25:11,080 --> 00:25:15,200 +واحدة يلا أنا فاضل عشانها تصير I ايه الشيء اللي + +320 +00:25:15,200 --> 00:25:18,820 +لما فاضل يعني مش فيه سالب وهنا فيه سالب إذا صار + +321 +00:25:18,820 --> 00:25:22,980 +بالسالب U Maxima على RC ايه تبقى من ناقص T على تاو + +322 +00:25:23,880 --> 00:25:31,440 +بنتلها طب كي مكسيما مش هي epsilon في C قبلناها طيب + +323 +00:25:31,440 --> 00:25:39,400 +C مع C شهر طيب ايه هذي ايه ايه طبعا إذا طلعت لنا + +324 +00:25:39,400 --> 00:25:48,160 +كتاب تضع بواحدة هنا نفس هذي ولا لأ نفس هذي وهذا + +325 +00:25:48,160 --> 00:25:52,760 +المنطق أن نفس ال behavior نفس التصرف في التيار + +326 +00:25:55,270 --> 00:25:59,230 +أحلنا مثال ... طب على المثال تبقى الكتاب شوية مش + +327 +00:25:59,230 --> 00:26:05,370 +كتير فيه أفكار مجرد شغل رياضي بيقول لي a 8 x 5 + +328 +00:26:05,370 --> 00:26:09,670 +kilo ohm resistor and a 5 micro farad capacitor + +329 +00:26:09,670 --> 00:26:13,610 +are connected in series with a 12 battery ده قائمة + +330 +00:26:13,610 --> 00:26:17,430 +بسيطة جايتها ودايما احنا في الأسئلة بنجيب دائرة + +331 +00:26:17,430 --> 00:26:22,190 +سهلة إلا يمكن في أسئلة البطل بال choice ممكن واحد + +332 +00:26:22,190 --> 00:26:25,690 +يجيب شغل أزهير لكن في أسئلة الحال وال RC شوية الها + +333 +00:26:25,690 --> 00:26:30,350 +وزن في الامتحانات لأنها تعتبر هي الشغل الجديدة + +334 +00:26:30,350 --> 00:26:35,210 +بتميز توجيهي عنكم فاحنا نعتبر التوازي 6 منه في + +335 +00:26:35,210 --> 00:26:40,350 +التوجيهية وفي الثانوية وكيرشوف شغلاته بسيطة فبتكون + +336 +00:26:40,350 --> 00:26:44,590 +ال RC هي الشغلة اللي محل الذات لأن طبعا ال RC + +337 +00:26:44,590 --> 00:26:48,690 +كيرشوف جواها شباب وبالتالي أنا لما أجيب سؤال RC + +338 +00:26:48,690 --> 00:26:53,330 +بقدر أسأل على كيرشوف جوا فتعتبر من الشغلات المهمة + +339 +00:26:53,700 --> 00:26:57,520 +يقول لي عندي دي مقاومة 8 to power 5 kilo oh are + +340 +00:26:57,520 --> 00:27:00,160 +connected in series with a 12 battery as shown the + +341 +00:27:00,160 --> 00:27:03,000 +capacitor is initially uncharged يقول ال capacitor كان + +342 +00:27:03,000 --> 00:27:07,180 +فاضي and the switch S is closed at T بسرعة سبب لما + +343 +00:27:07,180 --> 00:27:10,160 +سكّنت المفتاح أنا ببدأ يشحن ال capacitor ولا لأ؟ ببدأ يشحن + +344 +00:27:10,160 --> 00:27:12,520 +ايش بده ال time؟ يقول لي find the time constants + +345 +00:27:12,520 --> 00:27:16,800 +of the circuit طب ال time مش هي RC؟ RC طب هي RC و + +346 +00:27:16,800 --> 00:27:18,940 +هذي وهذي C إذا أنا بدي اشتغل ولا ال calculator + +347 +00:27:18,940 --> 00:27:19,740 +بدي اشتغل؟ + +348 +00:27:35,740 --> 00:27:41,860 +ماذا إذا كان الوقت اللي يتطلب ان تدرب الوضع؟ to it + +349 +00:27:41,860 --> 00:27:44,960 +to have its initial value مش احنا فاهمين ان التيار + +350 +00:27:44,960 --> 00:27:48,220 +بيبدي عالي وبيبدي ينزل شباب بيقول لي بعد كم ثانية + +351 +00:27:48,220 --> 00:27:52,960 +التيار بينزل نص قيمته يعني المعطى عندي انه I + +352 +00:27:52,960 --> 00:27:57,980 +بيساوي I not على 2 لما I بيساوي I not على 2 جديش T بديه + +353 +00:27:57,980 --> 00:28:03,080 +T هي المعادلة بضحك بدل I I not على 2 واطلع T وكله + +354 +00:28:03,080 --> 00:28:09,080 +معروف تمام بيقول لـ C .. After being closed for a + +355 +00:28:09,080 --> 00:28:12,620 +long time .. بعد ما انطلقت تمام تمام فكّيته من + +356 +00:28:12,620 --> 00:28:16,400 +البطارية وبدأت أفرغ فيه ... لما بدأت أفرغ ... ايش + +357 +00:28:16,400 --> 00:28:20,900 +اللي بدّه ينقص الآن؟ بدّه ينقص Q والتيار ... أو ايش + +358 +00:28:20,900 --> 00:28:23,760 +بيبقوا التيار؟ مبدوش ايه التيار؟ جاك أنت اشتغلت + +359 +00:28:23,760 --> 00:28:27,780 +هناك ... What is the time required for the charge + +360 +00:28:27,780 --> 00:28:32,780 +and for the energy؟ ال capacitor ايه له energy؟ حافظين + +361 +00:28:32,780 --> 00:28:39,230 +قانونها؟ أو Q تربيع على 2C صحيح زي القانون required for + +362 +00:28:39,230 --> 00:28:42,770 +the charge and for the energy to decrease to one + +363 +00:28:42,770 --> 00:28:48,230 +fourth their maximum value جديش الزمن اللازم عشان + +364 +00:28:48,230 --> 00:28:52,050 +ال Q تصير Q maximum على أربعة وال U تساوي U + +365 +00:28:52,050 --> 00:28:56,430 +maximum على أربعة برضه شغلات mathematical تمام + +366 +00:28:56,430 --> 00:28:58,870 +بالنسبة لل A زي ما حكينا هذا شغل ال calculator + +367 +00:28:58,870 --> 00:29:02,930 +تقوم تساوي R في C وطلعت أربعة second + +368 +00:29:13,970 --> 00:29:18,990 +Q مكسمة في دائرتي بتساوي C في VC هو هاي القانون + +369 +00:29:18,990 --> 00:29:19,310 +يعني + +370 +00:29:25,160 --> 00:29:28,340 +الـ Capacitor فدائما فرق جهد بين طرفين الـ + +371 +00:29:28,340 --> 00:29:32,9 + +401 +00:31:28,130 --> 00:31:31,310 +مقاومة إذا التيار بيساوي بطارية على المقاومة + +402 +00:31:31,310 --> 00:31:38,720 +بيطلّعها فـ إبسلون على R وطلعت 15 مايكرو أمبير الآن + +403 +00:31:38,720 --> 00:31:44,940 +بيقول لي قديش الزمن اللازم عشان التيار ينزل نص قيمته + +404 +00:31:44,940 --> 00:31:50,340 +الأولية سهلة هي العلاقة substituting for I بيساوي + +405 +00:31:50,340 --> 00:31:53,100 +have I not هذا المعطى + +406 +00:31:56,890 --> 00:32:01,850 +عشان أطلّع الزمن إيه بتاخد؟ لن النص سالب ولا موجب؟ + +407 +00:32:01,850 --> 00:32:07,630 +سالب، بظبط، سالب من الاتنين وإلا بيقولوا إن أنا + +408 +00:32:07,630 --> 00:32:10,250 +سالب، بيطلع الزمن سالب، مشكلة لكن الحمد لله إن ال + +409 +00:32:10,250 --> 00:32:13,750 +calculator هيطلع لي سالب أصلاً عني يعني، وبالتالي + +410 +00:32:13,750 --> 00:32:18,790 +لن النص بيساوي سالب T على RC وبيطلع T بيساوي سالب + +411 +00:32:18,790 --> 00:32:22,410 +RC في لن النص و لن النص سالب طلعت 2.8 second، إذًا + +412 +00:32:22,410 --> 00:32:27,340 +بعد 2.8 second التيار اللي كان خمسة عشر مايكرو أمبير + +413 +00:32:27,340 --> 00:32:31,140 +صار سبعة ونص صح ولا لأ؟ صار سبعة ونص قلّ الله ننزل + +414 +00:32:31,140 --> 00:32:33,620 +فأنتم عارفين في الأول بيقول سريع بعدين بيبدأ + +415 +00:32:33,620 --> 00:32:39,340 +يتباطأ نجي لفرع ثالث بيقول لي الآن الشحنات أنا بدي + +416 +00:32:39,340 --> 00:32:42,560 +أفضيها هل بدي آخذ قانون أوم تبع الشحنات ولا قانون + +417 +00:32:42,560 --> 00:32:45,600 +تبع الـ discharging الـ Discharging .. والـ + +418 +00:32:45,600 --> 00:32:48,340 +Discharging بيقول Q .. Q maximum .. الـ game هادئ + +419 +00:32:48,340 --> 00:32:51,560 +.. صح؟ .. إذًا .. In the discharging process, the + +420 +00:32:51,560 --> 00:32:54,280 +charge varies with time according to .. هي علاقة + +421 +00:32:54,280 --> 00:32:57,060 +الـ Discharging .. بآخد الـ Discharging .. هو + +422 +00:32:57,060 --> 00:32:59,860 +الوضع للـ Discharging .. هذا هي .. بيقول لي إيش .. + +423 +00:32:59,860 --> 00:33:03,340 +بيقول لي قديش الزمن .. عشان يكون Q بتساوي ربع Q + +424 +00:33:03,340 --> 00:33:06,560 +maximum .. إذًا نفس القضية .. الـ Q أحطّها ربع Q + +425 +00:33:06,560 --> 00:33:10,010 +maximum .. زي ما بده صارت ربع Q maximum بيساوي Q + +426 +00:33:10,010 --> 00:33:16,250 +maximum E تبارك نخص T over RC هذه صارت للربع عشان + +427 +00:33:16,250 --> 00:33:20,610 +أطلّع حقها أو طلعت T بيساوي 5.5 نيجي نشوف الـ energy + +428 +00:33:20,610 --> 00:33:24,810 +الـ energy زي ما حكى زميلكم توّي إن U بيساوي Q تربيع + +429 +00:33:24,810 --> 00:33:29,310 +على 2C طب ما هي Q ده عشان أظهّر حالي أش تربيع E + +430 +00:33:29,310 --> 00:33:35,790 +تبارك Xe to power x ربعّوها نحن سنكون e to power x + +431 +00:33:35,790 --> 00:33:42,630 +ربعّها بعدين 2x مخبوط ولا لأ؟ طب سؤالي لأ هذا الـ + +432 +00:33:42,630 --> 00:33:49,170 +function أ odd ولا even؟ أ odd ولا even؟ طب + +433 +00:33:49,170 --> 00:33:50,150 +هو الشرط اللي أ odd ولا even + +434 +00:34:03,460 --> 00:34:08,760 +هذا أيضًا .. هذا أيضًا .. لكن بدون هذا بيصير odd .. + +435 +00:34:08,760 --> 00:34:12,530 +e to power x not odd .. أصلاً رسمته بتبين تابعين يا + +436 +00:34:12,530 --> 00:34:14,910 +شباب؟ إذًا الـ E to the power of X is not odd, not + +437 +00:34:14,910 --> 00:34:16,670 +even. الـ E to the power of X تبقى بيصير even على + +438 +00:34:16,670 --> 00:34:19,510 +طول. طبعًا، كتير مهم الـ even و الـ odd في الشغل + +439 +00:34:19,510 --> 00:34:22,170 +المتقدم في الرياضيات كتير مفيد يا شباب. إنه لما + +440 +00:34:22,170 --> 00:34:25,550 +تعرف إن الـ even و الـ odd، لما يكون even بيرايحك في + +441 +00:34:25,550 --> 00:34:29,330 +شغلات كتيرة، في symmetry، ولما يكون odd بيرايحك، + +442 +00:34:29,330 --> 00:34:33,410 +بتطلع نتيجته صفر مرات. لما يكون من ناقص A لـ A، و الـ + +443 +00:34:33,410 --> 00:34:36,730 +function odd، بتكمل وبتغلب حالة. وكتير كانوا + +444 +00:34:36,730 --> 00:34:39,090 +يعطونا أيام مرات في امتحانات زي هيك، تفكّروا إن + +445 +00:34:39,090 --> 00:34:42,740 +الكون يقوم بيخوف. ويبقى حكي بدا كامرة من نقص a لـ a + +446 +00:34:42,740 --> 00:34:45,380 +لكن أنت تطلع عليه جوا يكون odd تحطّ بيساوي بيساوي صفر + +447 +00:34:45,380 --> 00:34:49,020 +وخلاص بتضيع حالك واحد قاعدة في الـ math بتبتدي + +448 +00:34:49,020 --> 00:34:53,100 +بتضيع وبالتالي كلمة even و odd بناخدها عادية لكن + +449 +00:34:53,100 --> 00:34:59,310 +يبني عليها شغلات كتير مهمة ربعت هذه طلعت هي عادي + +450 +00:34:59,310 --> 00:35:02,210 +بعد كده بقول لكم إن هذا مثال مجرد calculus + +451 +00:35:02,210 --> 00:35:06,630 +substituting for u as u equal one fourth of u + +452 +00:35:06,630 --> 00:35:11,450 +maximum وابت عليها وطلعت النتيجة 2.8 second مافيش + +453 +00:35:11,450 --> 00:35:12,290 +مشكلة + +454 +00:35:14,990 --> 00:35:17,990 +الحلّ كمان مثال أنا جايبّه من برّا هذا extra أظن + +455 +00:35:17,990 --> 00:35:20,870 +أحد أسئلة امتحان والله أعلم لأن أنا طلّعت على الكتاب + +456 +00:35:20,870 --> 00:35:23,810 +اللي دي مش موجودة ف أنا أقول إنّي جايبّه من أحد أسئلة + +457 +00:35:23,810 --> 00:35:28,030 +الامتحانات السابقة في أسئلة الكتاب شوية موجودة و + +458 +00:35:28,030 --> 00:35:31,950 +حلوة برضه بخصوص الـ RC في أكتر من سؤال مقلوب إنكم + +459 +00:35:31,950 --> 00:35:36,610 +تحلّوه إيش مقولي؟ شوف هالدعّرة؟ هالدعّرة قنوك فيها + +460 +00:35:36,610 --> 00:35:41,210 +شباب تلات وصف وبالتالي لما يمكن يكفي الـ C لا + +461 +00:35:41,210 --> 00:35:45,450 +تساوي 32 V يا عزيزي لما ينتهي المكثف الـ C لا تساوي + +462 +00:35:45,450 --> 00:35:49,390 +32 V لأن في عندي أكتر شغلة في عندي الأربعة مربوطة + +463 +00:35:49,390 --> 00:35:53,690 +فيها الأربعة واضح؟ عندنا بنشوف واحدة واحدة كيف + +464 +00:35:53,690 --> 00:35:57,230 +نتعامل معاه نقول في الـ circuit شوان الكمبيوتر في + +465 +00:35:57,230 --> 00:36:00,670 +البداية مغلق ومفتاح الكمبيوتر مغلق ومفتاح + +466 +00:36:00,670 --> 00:36:02,350 +الكمبيوتر مغلق ومفتاح الكمبيوتر مغلق ومفتاح + +467 +00:36:02,350 --> 00:36:03,070 +الكمبيوتر مغلق ومفتاح الكمبيوتر مغلق ومفتاح + +468 +00:36:03,070 --> 00:36:04,270 +الكمبيوتر مغلق ومفتاح الكمبيوتر مغلق ومفتاح + +469 +00:36:04,270 --> 00:36:09,220 +الكمبيوتر مغلق ومفتFind the current in each branch + +470 +00:36:09,220 --> 00:36:11,540 +of the circuit at t بتساوي صفر .. شو بتطلّعه وين + +471 +00:36:11,540 --> 00:36:14,200 +بدهو يا شباب؟ .. at t بتساوي صفر .. بدّي تطلعّه + +472 +00:36:14,200 --> 00:36:17,460 +بسلّطة إجمالية .. بدّي إياه بس بوقت معين .. at t بتساوي + +473 +00:36:17,460 --> 00:36:20,460 +صفر .. عشان كيف أعامل المكثف .. short .. short .. + +474 +00:36:20,460 --> 00:36:20,820 +short .. short .. short .. short .. short .. short + +475 +00:36:20,820 --> 00:36:21,120 +.. short .. short .. short .. short .. short .. + +476 +00:36:21,120 --> 00:36:21,480 +short .. short .. short .. short .. short .. short + +477 +00:36:21,480 --> 00:36:21,860 +.. short .. short .. short .. short .. short .. + +478 +00:36:21,860 --> 00:36:21,900 +.. short .. short .. short .. short .. short .. + +479 +00:36:21,900 --> 00:36:22,040 +.. short .. short .. short .. short .. short .. + +480 +00:36:22,040 --> 00:36:32,620 +short .. short .. short .. short ..calculate the + +481 +00:36:32,620 --> 00:36:35,120 +maximum charge on the capacitor إيش الخطأ اللي + +482 +00:36:35,120 --> 00:36:38,060 +جانيني بيصير عند الشباب أو عند الطلبة بصورة إجمالية + +483 +00:36:38,060 --> 00:36:42,140 +أنا بقول لك الـ charge على حدّ طبعًا اللي بيكون مجرد ما + +484 +00:36:42,140 --> 00:36:45,140 +بيخشّ على امتحان حافظ القوانين ومشي عنده قانون في + +485 +00:36:45,140 --> 00:36:48,360 +الكتاب ولا في الدكتور بيقول C في إبسيلون هذا مش + +486 +00:36:48,360 --> 00:36:52,240 +قانون هذا قانون في دائرة معينة بيقول لك هاي هالـ 32 + +487 +00:36:52,240 --> 00:36:55,400 +وهذه كانت معاشرة بـ 32 ف يطلّع وقال كفى الله + +488 +00:36:55,400 --> 00:37:01,200 +والمؤمنين على قتالك بيطلّع غلط لأن هنا أصلاً هادي كان + +489 +00:37:01,200 --> 00:37:06,340 +Vc وفي ديانة المعاملة Vc بتساوي إبسيلون تمام؟ إذًا + +490 +00:37:06,340 --> 00:37:09,520 +أنا مطلوب منّي عشان أجيب هادي، بدّي أجيب فرع جوهر + +491 +00:37:09,520 --> 00:37:12,760 +بالترافير المكثف، بعدين أعظمها في إيش، فطلعت شخص + +492 +00:37:12,760 --> 00:37:16,560 +ما يكوف وراك، واضح؟ أمّا .. هاي فرع جوهر بالترافير + +493 +00:37:16,560 --> 00:37:21,820 +المكثف بتساوي 32 volt؟ لأ طبعًا خلّيني أشوف إذا أنا + +494 +00:37:21,820 --> 00:37:24,920 +أجهّز الحرارة في كل جزء من حرارة T بساوي صفر و + +495 +00:37:24,920 --> 00:37:30,060 +أتخيّل حرارة كبسيطار على حرارة كبسيطار عشان أجيب + +496 +00:37:30,060 --> 00:37:30,700 +الحرارة عشان أجيب الحرارة عشان أجيب الحرارة عشان + +497 +00:37:30,700 --> 00:37:32,500 +أجيب الحرارة عن T بساوي صفر ولا عن T بساوي من + +498 +00:37:32,500 --> 00:37:35,820 +النهاية عن T بساوي من النهاية تمام؟ وبالتالي + +499 +00:37:35,820 --> 00:37:39,140 +التيارات اللي بأجيبهم هنا بقدر أستخدمهم هنا؟ لأ لأن + +500 +00:37:39,140 --> 00:37:42,300 +هذه التيارات عن زمن معين زمنها بتتغير وتيار أنا + +501 +00:37:42,300 --> 00:37:44,920 +بعرف إنه بتتغير جاعد التيار عن T بساوي صفر + +502 +00:37:47,850 --> 00:37:50,810 +سنوش وكده هي هذه السؤال دي القاعدتين اللي أخذتهم + +503 +00:37:50,810 --> 00:37:56,510 +أنا بقول الـ T بتساوي صفر the capacitor acts as a + +504 +00:37:56,510 --> 00:37:59,130 +short circuit إيش أسوي؟ قلتوا عشان برضه ما + +505 +00:37:59,130 --> 00:38:03,950 +تخربطوش اعملوها على الرسمة جيّة اعملوها زي هيك شوفتوا + +506 +00:38:03,950 --> 00:38:07,130 +دي خطّ الأزرق إيه صار فيه؟ طب لما حطّيتها الخطّ + +507 +00:38:07,130 --> 00:38:12,210 +الأزرق هذا عشان بس يبين لكم بيان؟ + +508 +00:38:12,210 --> 00:38:18,560 +سكرته التغري الـ capacitor في الأول الكبستر ارتغى + +509 +00:38:18,560 --> 00:38:24,840 +هجيّه سبت الأرض يقوم اتّصل بترقبينها سيليك ارتغى + +510 +00:38:24,840 --> 00:38:27,720 +تلقّى عشرين ساعة هذه نفسي أنا ما أجيش حبالي في + +511 +00:38:27,720 --> 00:38:31,760 +الامتحان بقول خليني أطبخ كرشه في الثاني هذه loop و + +512 +00:38:31,760 --> 00:38:37,420 +لا مش loop كم عنصر فيها الكبستر ارتغى إيش هي + +513 +00:38:37,420 --> 00:38:42,080 +كم عنصر ضد واحد يلا نشتغل عليها أربعة إيه اتنين + +514 +00:38:42,080 --> 00:38:47,070 +كدهش إيه اتنين هو مقاوم أو اتفادى إذا ما عرفت إنه + +515 +00:38:47,070 --> 00:38:50,250 +مقاوم أو اتفادى إذا ما عرفت إنه مقاوم أو اتفادى إذا + +516 +00:38:50,250 --> 00:38:52,350 +ما عرفت إنه مقاوم أو اتفادى إذا ما عرفت إنه مقاوم أو + +517 +00:38:52,350 --> 00:38:55,690 +اتفادى إذا ما عرفت إنه مقاوم أو اتفادى إذا ما عرفت إنه + +518 +00:38:55,690 --> 00:38:56,850 +مقاوم أو اتفادى إذا ما عرفت إنه مقاوم أو اتفادى إذا + +519 +00:38:56,850 --> 00:38:58,650 +ما عرفت إنه مقاوم أو اتفادى إذا ما عرفت إنه مقاوم أو + +520 +00:38:58,650 --> 00:39:04,730 +اتفادى إذا ما عرفت إنه مقاوم أو اتفادى إذا ما عرفت إنه + +521 +00:39:04,730 --> 00:39:10,030 +مقاوم أو اتفادى إذا ما عرفت إنه مقاوم أو أي 2 بيساوي + +522 +00:39:10,030 --> 00:39:13,770 +صفر هيها إيش داروا أي واحد وأي ثلاثة نفسهم صاروا؟ + +523 +00:39:13,770 --> 00:39:20,530 +وإيش بيساوي؟ 32 على 6 صح ولا لأ؟ 32 على 6 طلعت 5 + +524 +00:39:20,530 --> 00:39:23,370 +.3 أمبير حلو؟ + +525 +00:39:25,380 --> 00:39:28,300 +هي أول مقبوط، بدّوا التيارات، طلعت التيارات، واحدة + +526 +00:39:28,300 --> 00:39:31,500 +منهم طلعت صفر والاثنين زي بعض، وطلعوا بها الصيغة + +527 +00:39:31,500 --> 00:39:36,320 +فجيت بقول لي، رجعنا، the maximum charge is attained + +528 +00:39:36,320 --> 00:39:39,300 +after a long time، هذه معلومة لازم تكون معناها، + +529 +00:39:39,300 --> 00:39:42,180 +أنت عارفها، بيقول لك maximum charge إذًا معناته وقت T + +530 +00:39:42,180 --> 00:39:45,720 +goes to ملا نهاية تمام، at this time, the + +531 +00:39:45,720 --> 00:39:49,380 +capacitor is treated as if it were an open switch، + +532 +00:39:49,380 --> 00:39:53,890 +هذه المعلومة اللي بتعرفها، طب هي open switch لو + +533 +00:39:53,890 --> 00:39:56,690 +انكبست رأي شباب في الدائرة، من يقول قديش I + +534 +00:39:56,690 --> 00:39:59,730 +ثلاثة؟ + +535 +00:39:59,730 --> 00:40:04,710 +I ثلاثة يظلّوا بواحدة يظلّوا بواحدة معناته I اثنين و I + +536 +00:40:04,710 --> 00:40:10,110 +واحد زي بعضه ولا لا مدّيش بيساوي 32 ثلاثين على عشرة + +537 +00:40:11,600 --> 00:40:16,280 +فاللّتيارات اختلفت مثلًا كانت I2 و I3 I1 و I3 بيساوي + +538 +00:40:16,280 --> 00:40:21,740 +كذا و I2 صفر و I3 هي الصفر إذًا التيارات بتتغير من + +539 +00:40:21,740 --> 00:40:25,720 +زمن لزمن وهذا اللي هنعرفه بيقول I3 equal to 0 + +540 +00:40:25,720 --> 00:40:29,300 +لإنها open circuit الـ capacitor open circuit + +541 +00:40:29,300 --> 00:40:32,380 +أتعامل مع الـ capacitor عندي بيساوي لي نهاية إنّه شبكة + +542 +00:40:32,380 --> 00:40:37,450 +فتحة في الدائرة معناته هنا ما فيش تيار خلاص طب أنا + +543 +00:40:37,450 --> 00:40:40,350 +الباذخ اللي .. اللي رجع منه إنّه هنا في تيار بشحّن + +544 +00:40:40,350 --> 00:40:43,050 +وكان في تيار عاكس تبع الـ capacitor فبلغوا بعض هي + +545 +00:40:43,050 --> 00:40:47,210 +دي الـ branch بسّ فهذا الأساس صار تلقّى و I2 بيساوي + +546 +00:40:47,210 --> 00:40:52,470 +I3 بيساوي 32 على 10 3.2 أمبير الآن أنا بدّي التيارات + +547 +00:40:52,470 --> 00:40:57,630 +بدّي شحنات على الـ capacitor عشان يجيب الشحنات بيجيب + +548 +00:40:57,630 --> 00:41:02,570 +الجهود الجهود .. الجهود أنا بخبط دايماً الطلاب عشان + +549 +00:41:02,570 --> 00:41:05,250 +ما يخبطوش في دوايا الجامعة نكون معقّدة بيقول خلاص + +550 +00:41:05,250 --> 00:41:10,310 +هي إيه بيه؟ هأجيب مش VAB هي فرق الجهد بين ثلاثين + +551 +00:41:10,310 --> 00:41:13,250 +مكثف وأنا بتعلّم إن كيف أجيب فرق الجهد بين نقطتين + +552 +00:41:13,250 --> 00:41:16,250 +بدّي من نقطة وأروح عن نقطة ثانية مظبوط ولا لأ؟ هأجيب + +553 +00:41:16,250 --> 00:41:18,950 +بدّي أجيب من نقطة وأروح عن نقطة ثانية؟ لأ ماشي هيك + +554 +00:41:18,950 --> 00:41:23,330 +لأ ماشي هيك صح أو لأ؟ فالعكس بدّي نفسي جواب خلّينا + +555 +00:41:23,330 --> 00:41:26,310 +نمشي هيك سهلة مش هيك ماشي أنا عندي أربعة في آية + +556 +00:41:26,310 --> 00:41:29,950 +اثنين وخرط أربعة في آية اثنين طب معظمنا هنا في + +557 +00:41:29,950 --> 00:41:32,010 +خطأ إصبعي هذه واحدة + +558 +00:41:36,430 --> 00:41:39,850 +ثم إذًا ضمن وجود فرق الجهد بالترفيه المكثف هو فرق + +559 +00:41:39,850 --> 00:41:44,330 +الجهد بالترفيه الأربعة أو بسعة اثنين وثلاثين ناقص + +560 +00:41:44,330 --> 00:41:50,050 +ستة أي واحد صحيح؟ المهم لتخطيط الشحنة على الكباسيتر + +561 +00:41:50,050 --> 00:41:55,010 +نريد فقط أن نجد الاختلاف الوطني عبره عشان أجيب + +562 +00:41:55,010 --> 00:42:01,550 +الشحنة لأن الشحنة بتساوي C في V وهذه بتنزيلها جيبت + +563 +00:42:01,550 --> 00:42:05,090 +هذه طلبت هذه لإيصال معطل زي ما بتكون إذا أنا بقول + +564 +00:42:05,090 --> 00:42:08,970 +منّي أجيب فرق جهد من طرفيه المكثف عشان أجيب فرق جهد + +565 +00:42:08,970 --> 00:42:09,830 +من طرفيه المكثف + +566 +00:42:30,380 --> 00:42:37,980 +بالتالي U بيصير C في V \ No newline at end of file diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..ce376eb60c7a89a57952bb007739376092d83242 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA_postprocess.srt @@ -0,0 +1,2292 @@ +1 +00:00:09,800 --> 00:00:13,040 +بنبدأ بسم الله الرحمن الرحيم و نستأنف ما تبقى من + +2 +00:00:13,040 --> 00:00:19,020 +ال chapter بدينا بالعنوان the RC circuits بسرعة + +3 +00:00:19,020 --> 00:00:24,780 +نعيد اللي سوناه و ماخلصناهوش و قلنا ان في عندنا + +4 +00:00:24,780 --> 00:00:30,520 +عملية charging and discharging the capacitorعندى + +5 +00:00:30,520 --> 00:00:34,820 +الدائرة اللى انتوا شايفينها عندى بطارية متصلة + +6 +00:00:34,820 --> 00:00:38,740 +بالتوالي مع مقاومة وcapacitor the capacitor is + +7 +00:00:38,740 --> 00:00:44,180 +initially empty وبدى انا اشحنه the figure shows a + +8 +00:00:44,180 --> 00:00:48,300 +capacitor initially uncharged connected in series + +9 +00:00:48,300 --> 00:00:52,420 +with a resistor if the switch capital S is thrown + +10 +00:00:52,420 --> 00:00:57,020 +at point one to connect the batterythe capacitor + +11 +00:00:57,020 --> 00:01:00,240 +will begin to charge creating a current in the + +12 +00:01:00,240 --> 00:01:03,140 +circuit واتفقنا إنه في الدائرة الكهربائية أعتقد + +13 +00:01:03,140 --> 00:01:05,980 +إنه كان في عينكم جيلفانوميتر أو أميتر بيكون صح ولا + +14 +00:01:05,980 --> 00:01:10,560 +لأ؟ يعني بيكون متصل هنا أميتر أو جيلفانوميتر وفي + +15 +00:01:10,560 --> 00:01:15,120 +مؤشر أول ما أسكر المفتاح وأبدأ أشتغل على طول بأشر + +16 +00:01:15,120 --> 00:01:19,740 +الاميتر ليش؟ لأنه بدأت الشحنات تنتقل عشان عملية + +17 +00:01:19,740 --> 00:01:22,860 +شحن المكثف أول ما اتحركت الشحنات صار في تيار + +18 +00:01:23,220 --> 00:01:27,120 +فالاميتر او جيل فانو متر مؤشره بصوله deflection + +19 +00:01:27,120 --> 00:01:31,180 +دليل على انه رصد هناك طيار هي detect a current + +20 +00:01:31,180 --> 00:01:36,340 +تمام و هنتفق لهاي الطيار اللي صاره detection في + +21 +00:01:36,340 --> 00:01:40,400 +الدائرة هذه حركة الشحنات الموجبة او بما اخر اتجاه + +22 +00:01:40,400 --> 00:01:46,020 +الطيار الكهربائيوصور عندي ال capacitor مشحون و + +23 +00:01:46,020 --> 00:01:50,280 +بنضمن اشحان فيه لما يصير fully charged و لما يصير + +24 +00:01:50,280 --> 00:01:54,840 +fully charged بدي يصير ال capacitor و البطارية + +25 +00:01:54,840 --> 00:01:59,650 +جهدهم بسوء بعض في هذه الدائرة، مظبوط ولا لأ؟طبعا + +26 +00:01:59,650 --> 00:02:03,490 +نجي المنطق بيقول ايش هذا التيار اللي انتوا شايفين + +27 +00:02:03,490 --> 00:02:07,690 +حركته هذا .. هذا من البطارية جاية صحيح ولا لا؟ + +28 +00:02:07,690 --> 00:02:10,950 +يعني هذا تيار البطارية و كل ما عطيها البطارية ده + +29 +00:02:10,950 --> 00:02:14,590 +هو و احنا متفقين ان التيار هو اتجاهه باتجاه حركة + +30 +00:02:14,590 --> 00:02:18,730 +الشحنات الموجبة .. تمام اول ما ال capacitor بدأ + +31 +00:02:18,730 --> 00:02:25,530 +ينشحن صار برضه له تيار صح ولا لا؟ تياره برضه من + +32 +00:02:25,530 --> 00:02:27,190 +الموجبة السالت بيكون بهذا الشكل + +33 +00:02:32,330 --> 00:02:38,450 +التنين مع بعض ولا عكس بعض لما نقول ال KS صارت مش + +34 +00:02:38,450 --> 00:02:41,930 +من القطب الموجب لقطب السالب طب هاي الموجب للسالب + +35 +00:02:41,930 --> 00:02:48,390 +هاي الموجب هتبقى الكماسيتر هجيه التيار الكل اللي + +36 +00:02:48,390 --> 00:02:52,770 +في الدائرة مش I battery ناقص Ic صح ولا لأ I + +37 +00:02:52,770 --> 00:02:59,770 +battery ناقص Icأول حاجة كان الكبسطر فاضي IC0 بقت + +38 +00:02:59,770 --> 00:03:02,970 +كده يا عمال ال IC بزيد .. بزيد .. بزيد .. بزيد .. + +39 +00:03:02,970 --> 00:03:08,010 +و الطيارة عندي بنجسط لأن ال I total شباب I total + +40 +00:03:08,010 --> 00:03:11,770 +اللي بيجيسه الأنميطة يساوي I تماع ال battery نخس I + +41 +00:03:11,770 --> 00:03:16,090 +تماع الكبسطر صح ولا لأ؟ لما يكون هذا صفر هذا يكون + +42 +00:03:16,090 --> 00:03:21,220 +I battery لما هذا يزيد ايش مصرفي هذا؟بنجرس لما هدى + +43 +00:03:21,220 --> 00:03:24,300 +يساوي هدى كده بيصير هدى؟ Zero وقت إيش هدى بيصير + +44 +00:03:24,300 --> 00:03:27,000 +يساوي هدى؟ لما يساوي هدى هدى بيساوي جده هدى؟ مظبوط + +45 +00:03:27,000 --> 00:03:31,500 +ولا لا؟ إذا لما يدخل المكفف بيصير وكأنه يقول + +46 +00:03:31,500 --> 00:03:34,420 +البطارية زي ما انت إيه لك أنا إلي هاي طيارة فهاي + +47 +00:03:34,420 --> 00:03:36,860 +طيارة صاروا مع بعض بيصير الطيارة كله في الداخل + +48 +00:03:36,860 --> 00:03:41,160 +Zero عشان كده الطيارة بيبدأ عالي وينزل وينزل وينزل + +49 +00:03:41,160 --> 00:03:45,360 +لما يساوي في الآخر Zero لما بيصير الطيارين بيساووا + +50 +00:03:45,360 --> 00:03:52,760 +بعض تمامأحنا هاي الشغل اللي شرحناها رياضيا، قولنا + +51 +00:03:52,760 --> 00:03:55,940 +let I be the current in the circuit at some + +52 +00:03:55,940 --> 00:04:00,600 +instant during the charging process and Q be the + +53 +00:04:00,600 --> 00:04:03,920 +charge on the capacitor at the same instant، بدنا + +54 +00:04:03,920 --> 00:04:07,460 +نطبق كرش في شبابوقلنا كيرشوف ونشتغل عليها لوب + +55 +00:04:07,460 --> 00:04:12,100 +مغلقان يبدأ بالبطارية وقلنا ابسلون ناقص I في ال R + +56 +00:04:12,100 --> 00:04:15,500 +ناقص Q على C ال Q على C هي فرق جودة بين طرفيه + +57 +00:04:15,500 --> 00:04:19,080 +بكباسة R وبما انه انا ماشي من العادل الواطي الفرق + +58 +00:04:19,080 --> 00:04:22,380 +بيكون سالب مظبط ولا لأ بما ان انا ماشي من العادل + +59 +00:04:22,380 --> 00:04:25,160 +الواطي من الموجب للسالب اللي معناته الفرق بيكون + +60 +00:04:25,160 --> 00:04:29,480 +سالب هيك اشتغلنا عليها وقلنا هذه الدائرة عندي ورقة + +61 +00:04:29,480 --> 00:04:36,320 +بين Q وI وقلت I بيساوي DQ على DT فقولتهي صرت هيك + +62 +00:04:36,320 --> 00:04:41,160 +فجيت هذه الدائرة لو جيت انا بدي اشتغلها اشتغلها + +63 +00:04:41,160 --> 00:04:47,240 +بقول خليني اجسم على a في المعادلة عشان مايقبطاش + +64 +00:04:47,240 --> 00:04:56,560 +خبز أصير epsilon على a ناقص dq على dt ناقص q على + +65 +00:04:56,560 --> 00:05:00,420 +rc بالثلاث أسافر صح شباب هيك تمام + +66 +00:05:02,960 --> 00:05:09,320 +جيب هذا هنا وهذا هنا فبتصير عندك ال DQ على DT + +67 +00:05:09,320 --> 00:05:17,080 +بتساوي Epsilon على A ناقص Q ساعة زائد على AC لأ + +68 +00:05:17,080 --> 00:05:30,000 +ناقص مظبوط هيك ولا لأ طيب نجد المواحد هدول مظبوط + +69 +00:05:30,000 --> 00:05:39,780 +هيكوانشش تارتر بيعني صحيح صحيح هذه وديها على ال + +70 +00:05:39,780 --> 00:05:46,620 +bus و هذه بيجيبها على المقام، بنفع؟ ده مادري ما هو + +71 +00:05:46,620 --> 00:05:54,840 +هذه لما تيجي بيصير DQ على Y في C نقص Q بيساوي DT + +72 +00:05:54,840 --> 00:06:01,360 +على AC بالسالب طبعا لأنه انا عندي عكسة + +73 +00:06:03,650 --> 00:06:08,390 +كيو .. إذا عكست هنا دي هيت بصير تمام إذا من انا + +74 +00:06:08,390 --> 00:06:13,810 +طوال أيه اش عملت دي كيو على س نقص كيو بيساوي دي ت + +75 +00:06:13,810 --> 00:06:17,590 +على العاصر، هاي اللي صارت العلاقة بصورة بسيطة، + +76 +00:06:17,590 --> 00:06:20,710 +المره دي كيك خبطة خبطة واحدة، بيجي نتواجه انه انا + +77 +00:06:20,710 --> 00:06:26,970 +بعمل شغلة مش واضحة، صارت هذه المعادلةحاجة هذه + +78 +00:06:26,970 --> 00:06:30,030 +المعادلة الشباب مش بدي أسوي فيها بدي أكملها من + +79 +00:06:30,030 --> 00:06:33,410 +integrating both sides of the last equation we get + +80 +00:06:33,410 --> 00:06:41,090 +هذه هي فقولت ايش بدي أسوي؟ واخلت CY مقص Q بتساوي U + +81 +00:06:41,090 --> 00:06:51,170 +مظبوط هيك ولا لأ صح انك ماقص DQ بتساوي DU مظبوط؟ + +82 +00:06:51,170 --> 00:06:59,450 +روح اعوضبادر الـDQ بدعوت سالب DU فصارت سالب DU على + +83 +00:06:59,450 --> 00:07:04,990 +U فهذا السالب بحطه هنا سالب واحد على عرسي تكامل DT + +84 +00:07:04,990 --> 00:07:13,730 +فصارت هيك ايش تكامل ال DU على U من ال U و تكامل ال + +85 +00:07:13,730 --> 00:07:21,990 +DTT فصارت اليوم هي هذه فصارت لنا طبعا لما اعود CY + +86 +00:07:21,990 --> 00:07:28,010 +نقص Q على CY بستوي ناقص T على RC ناقص T على RC + +87 +00:07:28,010 --> 00:07:33,170 +طبعا هنا اللي صارت فوق و تحت من هدول التكامل مرة + +88 +00:07:33,170 --> 00:07:38,150 +علاقة بصفر و مرة علاقة بQ تمام؟ عشان اجيب هذه + +89 +00:07:38,150 --> 00:07:40,530 +بتقدروا بترفيه المعادلة او اجيب ال explanation + +90 +00:07:40,530 --> 00:07:46,320 +لترفيه المعادلة فطلعت عندي بهذا الشكلطبعا اشتغل + +91 +00:07:46,320 --> 00:07:52,000 +شغل بسيط طلعت بهذه الصورة لما نيجي نتطلع شباب، اش + +92 +00:07:52,000 --> 00:07:59,740 +هي هذه؟ هذه فرق جهد في Cمظبوط ولا لأ؟ فرق جهد في + +93 +00:07:59,740 --> 00:08:05,920 +CQ تمام؟ لكن هذه Q بقدر أقول أنا Q maximum ولا لأ؟ + +94 +00:08:05,920 --> 00:08:11,200 +لأن هذه أقصى جهد بياخدوا ال capacitor ولا لأ؟ + +95 +00:08:11,200 --> 00:08:15,080 +واحنا قلنا لأ وقت إيش ال capacitor بينتلي لما جهده + +96 +00:08:15,080 --> 00:08:18,780 +بيساوي جهد البطارية وجهد البطارية قد إيش؟ Epsilon + +97 +00:08:18,780 --> 00:08:25,400 +إذا هذه Q maximum هذه هي Q maximum تمام؟ + +98 +00:08:28,000 --> 00:08:32,640 +هل دائما اكيو ماكسيما بالساوية C في Y؟ لأ حسب + +99 +00:08:32,640 --> 00:08:37,080 +الدائرة حسب الدائرة عدنا هتشوفوا حال الحلم سائل + +100 +00:08:37,080 --> 00:08:40,900 +where E is the base of the natural logarithm هو هم + +101 +00:08:40,900 --> 00:08:43,640 +اتفقناها to find the current as a function of time + +102 +00:08:43,640 --> 00:08:46,820 +we differentiate طلعت الطيارة إذا أثر في عندي + +103 +00:08:46,820 --> 00:08:51,760 +معاجلة بتقول Q بالساوية Q maximum واحد ناقص ايه؟ + +104 +00:08:51,760 --> 00:08:57,610 +تبقى واحد ناقص T على RCولمّا أجيب الطيار شباب + +105 +00:08:57,610 --> 00:09:05,030 +طلعته بتساوي وهذا طلع هو الطيار لما T بتساوي سفر + +106 +00:09:05,030 --> 00:09:11,310 +وطلع عند الطيار I بتساوي I not E to power ناقص T + +107 +00:09:11,310 --> 00:09:16,830 +على RCهذه المعادلتين اللي طلعوا معايا بعد ما اشتقت + +108 +00:09:16,830 --> 00:09:23,330 +اي نوت هو التيارة ان ت بتساوي سفر و هيك احفظها لما + +109 +00:09:23,330 --> 00:09:26,430 +اقول v note ايش v note عندك معلومة عنها مش صراحة + +110 +00:09:26,430 --> 00:09:30,030 +كدرية يعني v ال t بتساوي سفر ولا لا و I note هو + +111 +00:09:30,030 --> 00:09:34,270 +التيارة ان ت بتساوي سفر و هيك احفظها تمام؟إذن I + +112 +00:09:34,270 --> 00:09:37,750 +NOT هي قيمة التيارة NT بتساوي سفر هاي المصطلح + +113 +00:09:37,750 --> 00:09:42,590 +تبعها طلعناها شباب هاي المعادلتين طبعا شباب انا T + +114 +00:09:42,590 --> 00:09:46,730 +بتساوي RC اتفقنا عليها انه بما انه هذا I و هذه I + +115 +00:09:46,730 --> 00:09:50,110 +NOT إذا لازم هذه مايكونهاش واحدةأشتغلت أنا وياكم + +116 +00:09:50,110 --> 00:09:53,630 +وطلعت RC لازم واحدتها تكون second وطلعت معانا + +117 +00:09:53,630 --> 00:09:57,110 +second عشان كده سموها the time constant of the + +118 +00:09:57,110 --> 00:09:59,990 +circuit وإيش تعرفها؟ قال ليش من كده بدي أعرفها + +119 +00:09:59,990 --> 00:10:04,330 +بيقول لما T بيساويتها و بيصير هذي واحد على E وهذه + +120 +00:10:04,330 --> 00:10:08,910 +قيمة الأولانية إذا هو الزمن اللازم عشان التيار + +121 +00:10:08,910 --> 00:10:13,930 +يصير واحد على E من قيمته الأصلية فهيك يعرف بيقولك + +122 +00:10:13,930 --> 00:10:17,220 +it's defined as the time requiredfor the current + +123 +00:10:17,220 --> 00:10:23,280 +to decrease to 1 over E of its initial value طبعا + +124 +00:10:23,280 --> 00:10:27,380 +أنا وهذا الاشتغالة وإن كانت احنا غالبا مانجيبهوش + +125 +00:10:27,380 --> 00:10:30,400 +لكن انا ممكن أشتقه بطريقة أخرى شبابنا وياكم نعملنا + +126 +00:10:30,400 --> 00:10:34,100 +شوية محاضرة refresh calculus نشوف كيف يتعامل معاها + +127 +00:10:34,100 --> 00:10:40,140 +أنا بديت في معادلة هذه هذه المعادلة + +128 +00:10:40,140 --> 00:10:42,600 +بدي أحلها واتفقنا ال differential equation ومش + +129 +00:10:42,600 --> 00:10:45,240 +عارف أيه شو بيجيب منها خليني أحلها بطريقة تانية + +130 +00:10:46,970 --> 00:10:50,230 +جيبت Q من Q جيبت I .. بدي احنا الطريقة اجيب I و + +131 +00:10:50,230 --> 00:10:53,990 +بعدين اجيب Q .. نشوف كيف نطلع معاه .. لو جيت شباب + +132 +00:10:53,990 --> 00:10:57,850 +.. بدي افضل المعادلة دي .. بنعرف ان فاضل .. و + +133 +00:10:57,850 --> 00:11:02,770 +بنعرف ايش .. طيب .. ايش اللي متغير معادي الزمن؟ .. + +134 +00:11:02,770 --> 00:11:05,890 +ايش متغير مع الزمن؟ .. ايه الكمشر ماتين .. تيار و + +135 +00:11:05,890 --> 00:11:10,550 +شحنات .. بتتغير ايسل مع الزمن؟ .. رفضلوها معادي + +136 +00:11:10,550 --> 00:11:17,370 +الزمن .. سفر ..أرض تتغير مع الزمن؟ + +137 +00:11:17,370 --> 00:11:24,170 +1 على C تتغير مع الزمن؟ هذه + +138 +00:11:24,170 --> 00:11:30,040 +إيش هي؟ولا لأ؟ ماشي ايه ايه؟ طب صارت عندى .. الله + +139 +00:11:30,040 --> 00:11:34,200 +سعيد عليك الصغير طبعا صارت عندى سالب او خلّي هذه + +140 +00:11:34,200 --> 00:11:41,460 +السالب هي الموجب R Di على Dt بالساوي السالب هذه + +141 +00:11:41,460 --> 00:11:45,600 +خلّيها تروح هنا و هنا السالب يعني بالساوي واحد على + +142 +00:11:45,600 --> 00:11:52,820 +C في I مصبوط ولا لأ؟ تمام جيبلي ال R هنا بنفع؟ + +143 +00:11:52,820 --> 00:11:54,500 +بنفع + +144 +00:11:57,190 --> 00:12:02,250 +الـ I هادي بدي أضعها في المقام يعني أجسم طرفي + +145 +00:12:02,250 --> 00:12:06,710 +المعادلة في الـ I و أضرب طرفي المعادلة في DT صار + +146 +00:12:06,710 --> 00:12:12,810 +عندك DI over I سوى ماقص T و هنا واحد على RC ولا لأ + +147 +00:12:12,810 --> 00:12:17,370 +DT sorry صح + +148 +00:12:17,370 --> 00:12:24,230 +ولا لأ كامل يامان كامل من سيف اللاتينهذه عندي صفر + +149 +00:12:24,230 --> 00:12:28,730 +في I NOT وعندي T في I I دائما صفر بيقابلها I NOT + +150 +00:12:28,730 --> 00:12:33,130 +صفر بيقابلها V NOT صح ولا لأ تمام ايش هيكمل D I + +151 +00:12:33,130 --> 00:12:37,570 +على I لان ال I من I ل I NOT لان ال I على I NOT ولا + +152 +00:12:37,570 --> 00:12:43,390 +لأ اذا هذه المعادلة صارت لان I على I NOT ايش هيكمل + +153 +00:12:43,390 --> 00:12:52,980 +DT من صفر ل T T سوى سالب T على RCطلع I فقط I + +154 +00:12:52,980 --> 00:13:02,100 +بتساوي I not هي تباور نخستي على أرسل صحيح؟ + +155 +00:13:02,100 --> 00:13:08,460 +صحيح هي نفسها تاكي بيدي جي بي كيو جالي جي بي كيو + +156 +00:13:08,460 --> 00:13:17,160 +برضه انت بتعرف ان I بتساوي DQ على DT اذا DQ بتساوي + +157 +00:13:17,160 --> 00:13:28,530 +I DT صح ولا لأ؟أذا DQ هو I نقطة نقص T على RC DT + +158 +00:13:28,530 --> 00:13:35,130 +كامل طرفي المعادلة هذي من صفر لـQ لأنه كان في + +159 +00:13:35,130 --> 00:13:40,470 +الأول فاضي و هذي من صفر لـT إيش هي كامل الـDQ من + +160 +00:13:40,470 --> 00:13:45,990 +صفر لـQQ ياما كاملولي اي تبوة نقص T على RC كاملولي + +161 +00:13:45,990 --> 00:13:53,750 +اي تبوة نقص Alpha Xناقص واحد على الفا ناقص واحد + +162 +00:13:53,750 --> 00:13:57,670 +على RC و ال RC في المقام بصير في البسط بس اذا ناقص + +163 +00:13:57,670 --> 00:14:07,030 +RC E طبعا ناقص T على RC من صفر لT فهذا الناقص + +164 +00:14:07,030 --> 00:14:14,010 +اجيبه و احط هنا T و احط هذه صفر اعكس في عينيك اه + +165 +00:14:14,010 --> 00:14:17,950 +في عينيك عكسك + +166 +00:14:19,370 --> 00:14:21,790 +بنجي العوض إيش لما يكون فيه صفر ا طبعه صفر كده + +167 +00:14:21,790 --> 00:14:29,930 +إيش؟ واحد إذا بتساوي I not RC واحد ناقص طب هنا T ا + +168 +00:14:29,930 --> 00:14:33,570 +طبعه ناقص T على RC طب هذه كيف بيديجيها؟ مش هى + +169 +00:14:33,570 --> 00:14:39,750 +عبارة عن Y على R I not Y على R إلا لما R راحت وY + +170 +00:14:39,750 --> 00:14:45,420 +في C اللى هي Vq maximum هي نفسهافتش تشغلكوا و لا + +171 +00:14:45,420 --> 00:14:48,040 +تشغلكوا انتوا اتفقنا احنا معادلة تفضلية ولا مش + +172 +00:14:48,040 --> 00:14:50,620 +معادلة تفضلية في الآخر في بعض المعادلات التفضلية + +173 +00:14:50,620 --> 00:14:53,880 +تبحث بصورة بسيطة لكن في بعض الأمور بتكون معقدة + +174 +00:14:53,880 --> 00:14:57,540 +فالمهم في عندي أنا الأن شباب معادلتين بدي أحفظهم + +175 +00:14:57,540 --> 00:15:02,860 +في حالك ال charging Q بيسوي Q maximum مواحد نقص T + +176 +00:15:02,860 --> 00:15:06,200 +على tau ممكن تكون معروفة وI بيسوي I not E طب هو + +177 +00:15:06,200 --> 00:15:12,870 +نقص T على tau حلو الآن جلي يرسمهمواتفقنا مع + +178 +00:15:12,870 --> 00:15:15,810 +مغاردنك انا صنعهم احنا let us plot the charge and + +179 +00:15:15,810 --> 00:15:18,490 +the current versus the time لما صمتوا بتلعبوا ايه + +180 +00:15:18,490 --> 00:15:22,830 +طبعا يصمت ابتعطي دلالة قوية على ايش انا بسوي بقولي + +181 +00:15:22,830 --> 00:15:27,710 +q بتبدأ zero و بتبقى زيد لما تنطلي و بعد ما تنطلي + +182 +00:15:27,710 --> 00:15:32,610 +خلاص بعد كده مش ممكن تزيد فبصير asymptote عندك + +183 +00:15:32,610 --> 00:15:39,140 +طبعا هذه q maximumقيمتها التيار بيبدأ a lot اللي + +184 +00:15:39,140 --> 00:15:42,780 +هو تبع البتن في دراحاته وبتبقى اللي دول ينزل ينزل + +185 +00:15:42,780 --> 00:15:46,440 +ينزل لمسه سفر في الآخر بتجابل ال two currents + +186 +00:15:46,440 --> 00:15:53,680 +وبكون zero طبعا يمكن في المعمل ماطلعتش .. الطيار + +187 +00:15:53,680 --> 00:15:58,900 +مابسويش سفر بالظبط يعني الطيار بنزل بنزل بيوصل .. + +188 +00:15:58,900 --> 00:16:05,370 +بيوصل السفر؟ ليش؟مش المقاوم بس الأسلاك كمان في + +189 +00:16:05,370 --> 00:16:09,730 +عندهم مقاومات وفي مقاومة ال .. ال .. مقاومة + +190 +00:16:09,730 --> 00:16:17,250 +الأميتام نفسه يعني في أكتر من شغلة تمام طب + +191 +00:16:17,250 --> 00:16:22,110 +نيجي نشتري الشباب بالدائرة بدي أرسمها كمان مرة دي + +192 +00:16:22,110 --> 00:16:25,110 +لزمني هال gate لإن أنا بسمها بعد هذه الصفحة بس و + +193 +00:16:25,110 --> 00:16:28,210 +أنا بشرح الآن خلينا نجميه إيش بنسوي + +194 +00:16:30,830 --> 00:16:36,990 +طبعا الاشتغاف اللى حاولنا نجيبه في الامتحان اللى + +195 +00:16:36,990 --> 00:16:42,910 +انا بدى افهمه ان انا عندي دائرة تشارجنج وهي + +196 +00:16:42,910 --> 00:16:52,090 +capacitor هي epsilon هادي R وهادي C تمام قولت I + +197 +00:16:52,090 --> 00:16:59,030 +noteبتساوي Y على R هيك طلعت صحيح انا ده I not Y + +198 +00:16:59,030 --> 00:17:03,730 +على R طلعناها ال T بيساوي سفر بس شويه is zero and + +199 +00:17:03,730 --> 00:17:07,870 +the current is maximum given by I بيساوي Y على R + +200 +00:17:07,870 --> 00:17:12,910 +وين جيبتها الشباب هذه المعراقة هذه + +201 +00:17:12,910 --> 00:17:18,050 +سفر اذا I بيساوي Y على R عن T بيساوي سفر طلعت هنا + +202 +00:17:18,050 --> 00:17:23,130 +طب قللي في شغلة كتير حلوة طلعت جيبها ده وحط محله + +203 +00:17:23,130 --> 00:17:31,820 +سفرمن يقول ان جديش تيار هو نفسه اذا انتي بالساوي + +204 +00:17:31,820 --> 00:17:36,480 +سفر و كأنه ال capacitor انا جمته و حطيت محله ال + +205 +00:17:36,480 --> 00:17:42,840 +silicon short circuit تمام يعني على طول انا بخليه + +206 +00:17:42,840 --> 00:17:46,620 +هيك لو خليته و الكيب جاعل بقول انا اعمل هيك اي + +207 +00:17:46,620 --> 00:17:50,720 +short circuitهذه الملاحظة جدا مهمة و جدا عليها + +208 +00:17:50,720 --> 00:17:53,880 +أسئلة في الكوزات و في الامتحانات بيقول that if the + +209 +00:17:53,880 --> 00:18:01,760 +capacitor acts as if it wereإذا كنت أستخدم طرفين + +210 +00:18:01,760 --> 00:18:07,300 +وسلك فهو يعمل + +211 +00:18:07,300 --> 00:18:10,660 +كإنه بين طرفين وسلك وهو كإنه بين طرفين وسلك يعمل + +212 +00:18:10,660 --> 00:18:22,190 +كإنه بين طرفين وسلك يعمل كإنه بين طرفين وسلكتمام؟ + +213 +00:18:22,190 --> 00:18:24,490 +اذا من اليوم اللي طالع لما يقولي بيدي شغل قدتي + +214 +00:18:24,490 --> 00:18:27,390 +بتساوي صفر على طول بجيه من ال capacitor و بحط محله + +215 +00:18:27,390 --> 00:18:30,230 +سيليكي وبتعامل مع الدائرة و لا كأنه في ال + +216 +00:18:30,230 --> 00:18:34,990 +capacitor موجود طب بيقولي افضل عليهم ال time اه + +217 +00:18:34,990 --> 00:18:39,370 +بيساوي I note ايه تبقى ماخستيه على tau طب حاط هدى + +218 +00:18:39,370 --> 00:18:44,090 +مانا نهاية صارت صفر مظلوم لأ طب وقتش في اي ديارة + +219 +00:18:44,090 --> 00:18:47,810 +بتكون الطيار صفر لإن بتكون مفتوحة بيقولي بتكون + +220 +00:18:47,810 --> 00:18:51,850 +الدائرة كان هيك يبقوا الطيار هناكأذا هذه هي + +221 +00:18:51,850 --> 00:18:57,640 +الدائرة، اذا بيقول ليThat is the capacitor acts as + +222 +00:18:57,640 --> 00:19:02,180 +if it were an open switch بتعامل معها وكأنها شبات + +223 +00:19:02,180 --> 00:19:05,660 +في الدقيقة لما يقولي T بيثاوى من النهاية شباب اذا + +224 +00:19:05,660 --> 00:19:08,420 +انا في ال ending هجيت ملاحظاتين كتير مهمات عن T + +225 +00:19:08,420 --> 00:19:11,700 +بيثاوى سفر ايش بدي اعمل ال capacitor وعن T بيثاوى + +226 +00:19:11,700 --> 00:19:14,500 +من النهاية كيه بدي اعمل ال capacitor عن T بيثاوى + +227 +00:19:14,500 --> 00:19:18,000 +سفر بجيه من ال capacitor محله سلك وعن T بيثاوى من + +228 +00:19:18,000 --> 00:19:22,690 +النهاية خل ال capacitor بصبح بعامله كأنه في فتحةفي + +229 +00:19:22,690 --> 00:19:25,190 +الجائرة يعني دي قلة مفتوحة في ال .. في القواعد + +230 +00:19:25,190 --> 00:19:28,090 +اللي فيه الكفارسترالز احنا هنحل .. انا جايب سؤال + +231 +00:19:28,090 --> 00:19:32,790 +خارجي عشان انا مثلا الكتاب بتغطي الشدد ايه الفكرة؟ + +232 +00:19:32,790 --> 00:19:34,710 +الان this is the charging process لنشوف ايش .. + +233 +00:19:34,710 --> 00:19:36,990 +اخبار ال this is the charging ايش بده يصير هل ال + +234 +00:19:36,990 --> 00:19:39,710 +.. الوراقين التاوة اللي اشتقتهم في ال charging ان + +235 +00:19:39,710 --> 00:19:43,310 +q بالساوة q maximum واحد ناقص اتوا بوا ناقستها على + +236 +00:19:43,310 --> 00:19:47,610 +تاو وال I بالساوة I not اتوا بوا ناقستي على تاو + +237 +00:19:47,610 --> 00:19:51,820 +هدول القانونين تبعون ال charging processواتفقنا ان + +238 +00:19:51,820 --> 00:19:57,180 +هنا Q بيبدأ 0 و بصير maximum هنا تلعب يبدأ maximum + +239 +00:19:57,180 --> 00:20:01,180 +و بصير 0 نشوف ال process إيش بصير هاي الدائرة + +240 +00:20:01,180 --> 00:20:05,680 +بيقول suppose that the capacitor is now fully + +241 +00:20:05,680 --> 00:20:08,700 +charged انا دلوقتي هستني لما اتأكدت ان ال + +242 +00:20:08,700 --> 00:20:13,140 +capacitor بعد كده بطل ياخد شحنات انتهى such that + +243 +00:20:13,140 --> 00:20:15,560 +its potential difference is equal to the + +244 +00:20:15,560 --> 00:20:21,750 +infepsilon حلو؟إن فرقة جوهره تبعه بسوء إبسلوت إذا + +245 +00:20:21,750 --> 00:20:26,370 +كان السويتش مضطر لـ 0.2 إذا كان السويتش مضطر لـ 0 + +246 +00:20:26,370 --> 00:20:28,010 +.1 إذا كان السويتش مضطر لـ 0.2 إذا كان السويتش + +247 +00:20:28,010 --> 00:20:28,190 +مضطر لـ 0.1 إذا كان السويتش مضطر لـ 0.1 إذا كان + +248 +00:20:28,190 --> 00:20:28,790 +السويتش مضطر لـ 0.1 إذا كان السويتش مضطر لـ 0.1 + +249 +00:20:28,790 --> 00:20:31,170 +إذا كان السويتش مضطر لـ 0.1 إذا كان السويتش مضطر + +250 +00:20:31,170 --> 00:20:36,790 +لـ 0.1 إذا كان السويتش مضطر لـ 0.1 إذا كان السويتش + +251 +00:20:36,790 --> 00:20:42,970 +مضطر لـ 0.1 إذا كان السويتش مضطر لـ 0.1 إذا كان + +252 +00:20:42,970 --> 00:20:48,510 +السويتش مضاتحضوا مع بعض Positive و negative عملوا + +253 +00:20:48,510 --> 00:20:52,190 +مفضّي طيب اتحركت الشحنات ولا ما اتحركتش؟ ان ال + +254 +00:20:52,190 --> 00:20:54,710 +meter بدّي يعمل deflection ولا لا؟ بدّي يعمل + +255 +00:20:54,710 --> 00:20:57,350 +deflection و باين ان في طيار، بدّي يجي السيار، لأن + +256 +00:20:57,350 --> 00:21:01,830 +هذا الطيار ثابت ولا عمله مينغاس؟ مينغاس لأنه مش زي + +257 +00:21:01,830 --> 00:21:04,690 +البطارية، البطارية فقط هنا ثابت أما هذا طيار + +258 +00:21:04,690 --> 00:21:07,890 +موثقله، مش شحناته، مش شحناته عمله مينغاس، إذا + +259 +00:21:07,890 --> 00:21:11,410 +موثقله مينغاس، إذا الطيار عمله مينغاس، لأنه يفضل + +260 +00:21:11,410 --> 00:21:15,500 +كمثلة، مش طيار بيكونيرجع لـ Zero فبهذه المعلومة + +261 +00:21:15,500 --> 00:21:18,900 +يقنع يشوف ان انا نشتاقها جالي هذه اللي بيحرك فيها + +262 +00:21:18,900 --> 00:21:22,420 +الدوية الحمراء بقدر اتعملها Loop ولا مش Loop يعني + +263 +00:21:22,420 --> 00:21:25,260 +انا بفتبق عليها قانون كيرشوف التاني ولا لا اكم + +264 +00:21:25,260 --> 00:21:30,320 +عنصر فيه اتنين نبدأ من الcapacitor ماشي من واطع + +265 +00:21:30,320 --> 00:21:35,430 +لعلي ولا من العلي لواطعييعني من واطل عالي is + +266 +00:21:35,430 --> 00:21:39,550 +الموجد طب و هو اول مقاومة سالد سالد لأننا ماشي مع + +267 +00:21:39,550 --> 00:21:42,950 +الطيار و الطيار هي الخبر المخطو الحمرو اذا let I + +268 +00:21:42,950 --> 00:21:44,850 +be the current in the circuit of some instant + +269 +00:21:44,850 --> 00:21:47,910 +during this process اللي هي this charging process + +270 +00:21:47,910 --> 00:21:50,610 +and Q be the charge on the capacitor at the same + +271 +00:21:50,610 --> 00:21:54,150 +instant applying Kirchhoff's rule to the loop we + +272 +00:21:54,150 --> 00:21:58,770 +get Q على C positive مقص I في الار بالساوي سفر حلو + +273 +00:21:58,770 --> 00:22:05,290 +نرجعsubstituting for I بتساوي DQ على DT بتساوي + +274 +00:22:05,290 --> 00:22:12,570 +سالب DQ على DT طب ليش سالب حتة؟ عشانها بينجص عشان + +275 +00:22:12,570 --> 00:22:18,610 +بينجص Q تتغير بالنقصان و لما يكون التغير بالنقصان + +276 +00:22:18,610 --> 00:22:24,460 +يكون سالب أخدته زمان هذاوهذا هذا طبعا نموذج ولا + +277 +00:22:24,460 --> 00:22:29,200 +سالب وهذا لأن هذا تناقصي ولا تزايدي وانا عندي + +278 +00:22:29,200 --> 00:22:31,640 +الشحنات انا بعرف ايش بيسوي انا بعمل discharging + +279 +00:22:31,640 --> 00:22:36,140 +process لان Q is decreasing ولما Q is decreasing + +280 +00:22:36,140 --> 00:22:40,660 +اذا I بالساوية سالب DQ على DT I بالساوية سالب DQ + +281 +00:22:40,660 --> 00:22:44,220 +على DT ده اللي عوض معاها عوضنا طلعت هذه المعادلة + +282 +00:22:44,220 --> 00:22:51,400 +DQ على Q بالساوية سالب 1 على RC DTكامل طرفي + +283 +00:22:51,400 --> 00:22:57,320 +المعادلة ليش هيك عامل حدود التكامل الشباب؟ طلعوا + +284 +00:22:57,320 --> 00:23:02,780 +على هذه .. هذه أنا لأ من صفر لإيه؟ لأنه كان مليان + +285 +00:23:02,780 --> 00:23:05,920 +في الأول .. و في عادية أنا ده عامل دي من الآخر .. + +286 +00:23:05,920 --> 00:23:08,740 +و أي وقت ما كان .. لأ أي .. لأ أي queue .. بس في + +287 +00:23:08,740 --> 00:23:14,640 +الأول .. إذا حاطيتها دي مدى نهاية يعنيبحطها دي صفر + +288 +00:23:14,640 --> 00:23:18,760 +بس انا حطيت ايه كده بس for any time اذا هذه for + +289 +00:23:18,760 --> 00:23:22,620 +any queue لما تقولها دي من النهاية بتوقع عليها صفر + +290 +00:23:22,620 --> 00:23:25,900 +لكن انا بدي اجيب علقة او a function of T وقولت هذه + +291 +00:23:25,900 --> 00:23:28,580 +متى .. مثلا اذا بقولها دي queue تبعد T تبعدك اللي + +292 +00:23:28,580 --> 00:23:32,780 +انت حطيتها دي تمام فانا بجيب علقة عامة فابحطش هنا + +293 +00:23:32,780 --> 00:23:35,960 +صفر الا اذا كنت حطيت هنا ال maximum time او ال + +294 +00:23:35,960 --> 00:23:40,500 +maximum time مش حاطه تمام ايش تكلمه ال DQ علي كده؟ + +295 +00:23:41,060 --> 00:23:44,560 +من Q .. من Q maximum ل Q .. من Q small على Q + +296 +00:23:44,560 --> 00:23:48,160 +maximum ولا لا تمام .. وهي ايش تكامل ال DT؟ T طب + +297 +00:23:48,160 --> 00:23:52,620 +أصيب للعلاقة .. صحيح؟ طيب ناخد ال exponential من + +298 +00:23:52,620 --> 00:23:54,800 +الطرفين .. ناخد ال exponential من الطرفين .. تبص + +299 +00:23:54,800 --> 00:23:59,820 +المعادلة اتطلع ال Q إيش صارت؟ غير عن هذه .. هذه Q + +300 +00:23:59,820 --> 00:24:03,080 +maximum واحد ماقص .. هذه إيه؟ طب بيجي نتطلع .. هذا + +301 +00:24:03,080 --> 00:24:08,420 +ال discharging .. لما T بتساوي صفر .. جديش Q؟ + +302 +00:24:08,420 --> 00:24:13,900 +بتساوي Q maximumولمّا T جُسده مالنهاية، سفر، إذا + +303 +00:24:13,900 --> 00:24:17,440 +هذي بناسب للـ Discharging، و هذي بتناسب للـ + +304 +00:24:17,440 --> 00:24:20,680 +Discharging كمان، مافيش تناقش، هذي Discharging و + +305 +00:24:20,680 --> 00:24:23,440 +هذي Discharging، فبنشوف التيار، قبل ما نشوف + +306 +00:24:23,440 --> 00:24:26,680 +التيار، احنا قولنا في الأول، في الـ Discharging، + +307 +00:24:26,680 --> 00:24:30,800 +التيار بدي كبير تبع المقارية، و Bolt هي سفر، لإنه + +308 +00:24:30,800 --> 00:24:35,480 +بصير فيه تياران من غباهمهنا ببدأ كبير وبنتهي سفر + +309 +00:24:35,480 --> 00:24:39,240 +لأنه فضل كبس اطار، انت تتوقع انه يكون نفس الصيغة + +310 +00:24:39,240 --> 00:24:42,580 +ولا لا؟ نفس الصيغة، لأنه في الحلقين ببدأ كبير + +311 +00:24:42,580 --> 00:24:46,600 +وبالاخر ببدأ سفر، وإن كان ليه سواء سفر بالسبب + +312 +00:24:46,600 --> 00:24:49,460 +بختلف، هنا سواء سفر لان الطيارين لغوا بعض، هنا + +313 +00:24:49,460 --> 00:24:53,620 +سواء سفر لأنه المنكبطر الوحيد، البعد الطيارة خلص + +314 +00:24:53,620 --> 00:24:57,780 +fully، مابقالش عنده شحناتنقدر نستحق نشوف هى اللى + +315 +00:24:57,780 --> 00:25:00,920 +بتطلع صح و لا كام دى D في I دالي the current in + +316 +00:25:00,920 --> 00:25:03,440 +the rate of decrease of a charge ماهو I بالساعة و + +317 +00:25:03,440 --> 00:25:08,460 +ساعة D فيه و على D تاوى اعملناها فاضل فاضل طب و + +318 +00:25:08,460 --> 00:25:11,080 +لما فاضل ايه اخف لأ بلاش انا انا فاضل على دربة + +319 +00:25:11,080 --> 00:25:15,200 +واحدة يالا انا فاضل عشانها تصير I ايه الشيء اللى + +320 +00:25:15,200 --> 00:25:18,820 +لما فاضل يعني مش فيه سالق و هنا فيه سالق اذا صار + +321 +00:25:18,820 --> 00:25:22,980 +بالسالق U Maxima على RC ايه تبقى من ناقص T على K + +322 +00:25:23,880 --> 00:25:31,440 +بنلتها طب كي مكسيما مش هي epsilon في C قبلناها طيب + +323 +00:25:31,440 --> 00:25:39,400 +C مع C شهر طيب إيه هذي ايه ايه طبعا إذا طلعت لنا + +324 +00:25:39,400 --> 00:25:48,160 +كتاب تضع بواحدة هنا نفس هذي ولا لأ نفس هذي و هذا + +325 +00:25:48,160 --> 00:25:52,760 +المنطق ان نفس ال behavior نفس التصرف في التيار + +326 +00:25:55,270 --> 00:25:59,230 +أحلنا مثال .. طب على المثال تبقى الكتاب شوية مش + +327 +00:25:59,230 --> 00:26:05,370 +كتير فيه أفكار مجرد شغل رياضي بيقول لي a 8 x 5 + +328 +00:26:05,370 --> 00:26:09,670 +kilo ohm resistor and a 5 micro farad capacitor + +329 +00:26:09,670 --> 00:26:13,610 +are connected in series with a 12 battery ده قائمة + +330 +00:26:13,610 --> 00:26:17,430 +بسيطة جايتها و دايما احنا في الأسلة بنجيب دواية + +331 +00:26:17,430 --> 00:26:22,190 +سهلةإلا يمكن في أسلة البطل بال choice ممكن واحد + +332 +00:26:22,190 --> 00:26:25,690 +يجيب شغل أزهير لكن في أسلة الحال وال RC شوية إلها + +333 +00:26:25,690 --> 00:26:30,350 +وزن في الامتحانات لأنه تعتبر هي الشغل الجديدة + +334 +00:26:30,350 --> 00:26:35,210 +بتميز توجيهي عنكم فاحنا نعتبر التوازي 6 منه في + +335 +00:26:35,210 --> 00:26:40,350 +التوجيهيةوفي الثانوية وكيرشوف شغلاته بسيطة فبتكون + +336 +00:26:40,350 --> 00:26:44,590 +ال RC هي الشغلة اللي محل الذات لإن طبعا ال RC + +337 +00:26:44,590 --> 00:26:48,690 +كيرشوف جواها شباب وبالتالي انا لما أجيب سؤال RC + +338 +00:26:48,690 --> 00:26:53,330 +بقدر أسأل على كيرشوف جوا فتعتبر من الشغلات المهمة + +339 +00:26:53,700 --> 00:26:57,520 +يقول لي عندي دي ادراجية 8 to power 5 kilo oh are + +340 +00:26:57,520 --> 00:27:00,160 +connected in series with a 12 battery as shown the + +341 +00:27:00,160 --> 00:27:03,000 +capacitor is initially uncharged يقول الكبسيطر كان + +342 +00:27:03,000 --> 00:27:07,180 +فاضي and the switch S is closed at T بسرعه سبب لما + +343 +00:27:07,180 --> 00:27:10,160 +سكّن مفتاح انا ببدأ يشحن مكتف ولا لأ؟ ببدأ يشحن + +344 +00:27:10,160 --> 00:27:12,520 +ايش بده ال time؟ يقول لي find the time constants + +345 +00:27:12,520 --> 00:27:16,800 +of the circuit طب ال time مش هي RC؟ RC طب هي RC و + +346 +00:27:16,800 --> 00:27:18,940 +هذي و هذي C اذا انا بدي اشتغل ولا ال calculator + +347 +00:27:18,940 --> 00:27:19,740 +بدي اشتغل؟ + +348 +00:27:35,740 --> 00:27:41,860 +ماذا إذا كان الوقت اللي يتطلب ان تدرب الوضع؟to it + +349 +00:27:41,860 --> 00:27:44,960 +to have its initial value مش احنا فاهمين ان الطيار + +350 +00:27:44,960 --> 00:27:48,220 +بيبدى عالي و بيبدى ينزل شباب بيقولى بعد اكم ثانية + +351 +00:27:48,220 --> 00:27:52,960 +الطيار بينزل نص قيمته يعنيش المعطى عندى انه I + +352 +00:27:52,960 --> 00:27:57,980 +بيسوي I not ع 2 لما I بيسوي I not ع 2 جديش T بديه + +353 +00:27:57,980 --> 00:28:03,080 +T هي العراقة بضحك بدل I I not ع 2 و اطلع T و كله + +354 +00:28:03,080 --> 00:28:09,080 +معروف تمامبقول لـ C .. After being closed for a + +355 +00:28:09,080 --> 00:28:12,620 +long time .. بعد ما انطلعت تمام تمام فكته من + +356 +00:28:12,620 --> 00:28:16,400 +البطارية و بدأت أفرغ فيه .. لما بدأت أفرغ .. ايش + +357 +00:28:16,400 --> 00:28:20,900 +اللي بدو ينقص الان؟ بدو ينقص Q و الطيار .. او ايش + +358 +00:28:20,900 --> 00:28:23,760 +ببقوا الطيار؟ مبدوش ايه الطيار؟ جالك انت اشتغلت + +359 +00:28:23,760 --> 00:28:27,780 +هناك .. What is the time required for the charge + +360 +00:28:27,780 --> 00:28:32,780 +and for the energy؟ الكباسيتر ايه له energy؟ خفظين + +361 +00:28:32,780 --> 00:28:39,230 +قانونها؟أو Q تربيع 2C صحيح زي القانونrequired for + +362 +00:28:39,230 --> 00:28:42,770 +the charge and for the energy to decrease to one + +363 +00:28:42,770 --> 00:28:48,230 +fourth their maximum value جديش الزمن اللازم عشان + +364 +00:28:48,230 --> 00:28:52,050 +ال Q تصير Q maximum على أربعة و ال U تساوي U + +365 +00:28:52,050 --> 00:28:56,430 +maximum على أربعة برضه شغلات mathematical تمام + +366 +00:28:56,430 --> 00:28:58,870 +بالنسبة لل A زى ما حكينا هذا شغل ال calculator + +367 +00:28:58,870 --> 00:29:02,930 +تقوم تساوي R في C و طلعت أربعة second + +368 +00:29:13,970 --> 00:29:18,990 +Q مكسمة في دائرتي بتساوي C في VC هو هاي القرون + +369 +00:29:18,990 --> 00:29:19,310 +يعنى + +370 +00:29:25,160 --> 00:29:28,340 +الـ Capacitor فدائما فرق جوهر بين طرفين الـ + +371 +00:29:28,340 --> 00:29:32,900 +Capacitor بساوي فرق جوهر بين طرفين البطارية لأ عصب + +372 +00:29:32,900 --> 00:29:37,320 +الدائرة حتى لما يشحن مش دائما فقط لما يكون عندك + +373 +00:29:37,320 --> 00:29:40,340 +الدائرة فيها loop واحدة لما يكون فيها multi loops + +374 +00:29:40,340 --> 00:29:43,900 +هذا كلام مبقفل صحيح يعني كم بدأ اشتغل انا بقول + +375 +00:29:43,900 --> 00:29:48,760 +ببسيطة بتشتغل بسهولة نرجع لدائرتي هي دائرتك انت + +376 +00:29:48,760 --> 00:29:54,840 +بتقول Q maximum شباب عند اي سنة بيقتمعندى المنا + +377 +00:29:54,840 --> 00:29:59,020 +نهاية طبعا يعني بكرا لما أقولك اوى دى q maximum + +378 +00:29:59,020 --> 00:30:02,080 +ماتقولليش عند اى زمان بديتى سفر براتبه لنهاية بكون + +379 +00:30:02,080 --> 00:30:05,020 +ضمنيا انت بيساوي سفر معقول يكون فيه maximum طيب + +380 +00:30:05,020 --> 00:30:09,880 +لما يكون شباب عندي أنا هدى بسكرة كده عامله كده بس + +381 +00:30:09,880 --> 00:30:15,060 +يطلع انتي بتساوي منه نهاية بتساوي open circuit + +382 +00:30:15,060 --> 00:30:19,280 +يعني في تيار فش تيار طيب يلا طبقولي كرش فلوه + +383 +00:30:19,280 --> 00:30:21,680 +وديبولي فرق ديوت بين نقطين a وb ابدوا من a وروحوا + +384 +00:30:21,680 --> 00:30:27,970 +على bلأن الحياة دي بتموح معاه، لكن فيها تجارب، + +385 +00:30:27,970 --> 00:30:31,430 +موحك، بالتالي بيبقى اللي غيرش اللي هذهلكن في بعض + +386 +00:30:31,430 --> 00:30:33,790 +ال loops اللي عندي هشيبها، هذا كلام ماتتحققش، + +387 +00:30:33,790 --> 00:30:36,830 +بيكون فيه شغلات تانية، إذا من هنا لما أشتغل بقول + +388 +00:30:36,830 --> 00:30:39,630 +فرق الجهد أنا ماشي هنا عبارة عن I في تمانية و I + +389 +00:30:39,630 --> 00:30:41,790 +بالثلاثة ثمانية اللي قبلنا سهل عليها، بيطلع عندي + +390 +00:30:41,790 --> 00:30:44,690 +اتناشت من سلب ولا موجة، مش خضية، لأن Vc دايما + +391 +00:30:44,690 --> 00:30:48,070 +بناخدها absolute value، بطلها، إذا في هذه الدائرة + +392 +00:30:48,070 --> 00:30:52,210 +فرق الجهد بين طرفي الكباسيتر بيسوي فرق الجهد بين + +393 +00:30:52,210 --> 00:30:57,760 +البطارية، حالة خاصة عشانها loop واحدةأنتي بصور من + +394 +00:30:57,760 --> 00:31:02,900 +النهاية كيف عمل كده ستار؟ open circuit لإن لو مش + +395 +00:31:02,900 --> 00:31:06,480 +open circuit يعني أنتوا في طيار صح؟ ساعتها الطيار + +396 +00:31:06,480 --> 00:31:09,720 +يكون في I في R لكن أنا مش موجود عندك + +397 +00:31:12,450 --> 00:31:16,530 +إذا هنا Vc أخدته إبسلون كحلقة أصلا و طلعت الجواب + +398 +00:31:16,530 --> 00:31:20,950 +ستين مايكرو كيلو انتي بتساوي سفر الان بده I NOT + +399 +00:31:20,950 --> 00:31:25,070 +شباب I NOT بقولك I NOT انتي بتساوي سفر كده عالي + +400 +00:31:25,070 --> 00:31:28,130 +الcapacitor short circuit ميخلش عندك إلا بطارية و + +401 +00:31:28,130 --> 00:31:31,310 +مقاومة إذا الطيار بيساوي بطارية على المقاومة + +402 +00:31:31,310 --> 00:31:38,720 +بيطلحها فإبسلون على R و طلعت 15 مايكرو أمبيرالان + +403 +00:31:38,720 --> 00:31:44,940 +بيقول لجديش الزمن اللازم عشان الطيار ينزل نص قنطه + +404 +00:31:44,940 --> 00:31:50,340 +الأولية سهلة هي العلاقة substituting for I بيساوي + +405 +00:31:50,340 --> 00:31:53,100 +have I not هذا المعطر + +406 +00:31:56,890 --> 00:32:01,850 +عشان اطلع الزمن ايه بتاخد؟ لن النص سالب ولا موجة؟ + +407 +00:32:01,850 --> 00:32:07,630 +سالب، بظبط، سالب من الاتنين وإلا بيقولوا ان أنا + +408 +00:32:07,630 --> 00:32:10,250 +سالب، بيطلع الزمن سالب، مشكلة لكن الحمد لله ان ال + +409 +00:32:10,250 --> 00:32:13,750 +calculator هطلق ليه سالب أصلا عني يعني، وبالتالي + +410 +00:32:13,750 --> 00:32:18,790 +لن النص بيستوي سالب T على RC وبيطلع T بيستوي سالب + +411 +00:32:18,790 --> 00:32:22,410 +RC في لن النص و لن النص سالب طلعت 2.8 second، اذا + +412 +00:32:22,410 --> 00:32:27,340 +بعد 2.8 secondالتيار اللى كان خمستاشر مايكرو أمبير + +413 +00:32:27,340 --> 00:32:31,140 +صار سبعة و نص صح ولا لأ صار سبعة و نص قل الله ننزل + +414 +00:32:31,140 --> 00:32:33,620 +فانتوا عارفين في الأول بيقول سريع بعدين بيبدأ + +415 +00:32:33,620 --> 00:32:39,340 +يتباطأ نجي لفرقة تالت بيقوللى الآن الشحنات أنا بدي + +416 +00:32:39,340 --> 00:32:42,560 +أفضيها هل بدي أخد قانون هادر تبع الشحنات ولا قانون + +417 +00:32:42,560 --> 00:32:45,600 +تبع ال dischargingالـ Discharging .. و الـ + +418 +00:32:45,600 --> 00:32:48,340 +Discharging بيقول Q .. Q maximum .. الـ Game هادئ + +419 +00:32:48,340 --> 00:32:51,560 +.. صح؟ .. إذا .. In the discharging process, the + +420 +00:32:51,560 --> 00:32:54,280 +charge varies with time according to .. هي علاقة + +421 +00:32:54,280 --> 00:32:57,060 +الـ Discharging .. بخدش الـ Discharging .. هو + +422 +00:32:57,060 --> 00:32:59,860 +الوضع للـ Discharging .. هذا هي .. بيقولي إيش .. + +423 +00:32:59,860 --> 00:33:03,340 +بيقولي قديش الزمن .. عشان كون Q بتسوى ربع Q + +424 +00:33:03,340 --> 00:33:06,560 +maximum .. إذا نفس القضية .. الـ Q أحطها ربع Q + +425 +00:33:06,560 --> 00:33:10,010 +maximum ..زي ما بده صارت ربع Q maximum بيستوي Q + +426 +00:33:10,010 --> 00:33:16,250 +maximum E تبارك نخص T over RC هذه صارت للربع عشان + +427 +00:33:16,250 --> 00:33:20,610 +اطلع حق او طلعت T بيستوي 5.5 نيجي نشوف ال energy + +428 +00:33:20,610 --> 00:33:24,810 +ال energy زي ما حكى زميلكم توي ان U بيستوي Q تربيع + +429 +00:33:24,810 --> 00:33:29,310 +اتنين C طب ما هي Q ده عشان اظهر حالي اش تربيع E + +430 +00:33:29,310 --> 00:33:35,790 +تبارك Xe to power x ربعوها نحن سنكون e to power x + +431 +00:33:35,790 --> 00:33:42,630 +ربعها بعدين 2x مخبوط ولا لأ طب سؤالي لأ هذا ال + +432 +00:33:42,630 --> 00:33:49,170 +function ا odd ولا even ا odd ولا even طب + +433 +00:33:49,170 --> 00:33:50,150 +هو الشرط اللي ا odd ولا even + +434 +00:34:03,460 --> 00:34:08,760 +هذا ايضا .. هذا ايضا .. لكن بدون هذا بيصيش odd .. + +435 +00:34:08,760 --> 00:34:12,530 +ات power x not odd .. اصلا رسمته بتبينتبعين يا + +436 +00:34:12,530 --> 00:34:14,910 +شباب؟ إذا ال E to the power of X is not odd, not + +437 +00:34:14,910 --> 00:34:16,670 +even. ال E to the power of X تبقى بيصير even على + +438 +00:34:16,670 --> 00:34:19,510 +طول. طبعا، كتير مهم ال even و ال odd في الشغل + +439 +00:34:19,510 --> 00:34:22,170 +المتقدم في الرياضيات كتير مفيد يا شباب. إنه لما + +440 +00:34:22,170 --> 00:34:25,550 +تعرف ان ال even و ال odd، لما يكون even بيرايحك في + +441 +00:34:25,550 --> 00:34:29,330 +شغلات كتيرة، في symmetry، و لما يكون odd بيرايحك، + +442 +00:34:29,330 --> 00:34:33,410 +بتطلع نتيجته سفر مرات. لما يكون من ناقص A لA، و ال + +443 +00:34:33,410 --> 00:34:36,730 +function odd، بتكمل و بتغلب حالة. و كتير كانوا + +444 +00:34:36,730 --> 00:34:39,090 +يعطونا أيام مرات في امتحانات زي هيك، تفكّروا أن + +445 +00:34:39,090 --> 00:34:42,740 +الكون تقوم بيخوف.و يبقى حكي بدا كامره من نقص a ل a + +446 +00:34:42,740 --> 00:34:45,380 +لكن انت تطلع عليه جوا تكون odd تحط بساوي بساوي سفر + +447 +00:34:45,380 --> 00:34:49,020 +و خلاص بتضيع حالك واحد قاعدة في الmath بتبتدعي + +448 +00:34:49,020 --> 00:34:53,100 +بتضيع و بالتالي كلمة even و odd بناخدها عادية لكن + +449 +00:34:53,100 --> 00:34:59,310 +يبنع عليها شغلات كتير مهمة ربعت هذهطلعت هى عادى + +450 +00:34:59,310 --> 00:35:02,210 +بعد كده بقولتلكم ان هذا مثال مجرد calculus + +451 +00:35:02,210 --> 00:35:06,630 +substituting for u as u equal one fourth of u + +452 +00:35:06,630 --> 00:35:11,450 +maximum وابت عليها وطلعت النتيجة 2.8 second مافيش + +453 +00:35:11,450 --> 00:35:12,290 +مشكلة + +454 +00:35:14,990 --> 00:35:17,990 +الحلولة كمان مثال انا جايبه من برا هذا extra اظن + +455 +00:35:17,990 --> 00:35:20,870 +احد أسلك امتحان والله اعلم لان انا طلعت على الكتاب + +456 +00:35:20,870 --> 00:35:23,810 +اللي دي مش موجود فانا اقول اني جايبه من أحد أسلك + +457 +00:35:23,810 --> 00:35:28,030 +الامتحانات السابقة في أسلك الكتاب شوية موجودة و + +458 +00:35:28,030 --> 00:35:31,950 +حلوة برضه بخصوص ال RC في أكتر من السؤال مقلوب انكم + +459 +00:35:31,950 --> 00:35:36,610 +تحلوه اش مقولي؟ شوف هالدعرة؟ هالدعرة قنوك فيها + +460 +00:35:36,610 --> 00:35:41,210 +شباب تلات الوصف وبالتالي لما يمكن يكفيالـ C لا + +461 +00:35:41,210 --> 00:35:45,450 +تسوي 32 V يا عزيزي لما ينتهي المكثف الـ C لا تسوي + +462 +00:35:45,450 --> 00:35:49,390 +32 V لأن في عندي أكتر شغلة في عندي الأربعة مربوطة + +463 +00:35:49,390 --> 00:35:53,690 +فيها الأربعة واضح؟ عندنا بنشوف واحدة واحدة كيف + +464 +00:35:53,690 --> 00:35:57,230 +نتعامل معاه نقول في الـ circuit شوان الكمبيوتر في + +465 +00:35:57,230 --> 00:36:00,670 +البداية مغلق ومفتاح الكمبيوتر مغلق ومفتاح + +466 +00:36:00,670 --> 00:36:02,350 +الكمبيوتر مغلق ومفتاح الكمبيوتر مغلق ومفتاح + +467 +00:36:02,350 --> 00:36:03,070 +الكمبيوتر مغلق ومفتاح الكمبيوتر مغلق ومفتاح + +468 +00:36:03,070 --> 00:36:04,270 +الكمبيوتر مغلق ومفتاح الكمبيوتر مغلق ومفتاح + +469 +00:36:04,270 --> 00:36:09,220 +الكمبيوتر مغلق ومفتFind the current in each branch + +470 +00:36:09,220 --> 00:36:11,540 +of the circuit at t بتساوي سفر .. شو بتطيعه وين + +471 +00:36:11,540 --> 00:36:14,200 +بدهو يا شباب؟ .. at t بتساوي سفر .. بديش تطيعه + +472 +00:36:14,200 --> 00:36:17,460 +بسلطة إجمالية .. بديه بس زمن معين .. at t بتساوي + +473 +00:36:17,460 --> 00:36:20,460 +سفر .. عشان كيف أعاني المكثف .. short .. short .. + +474 +00:36:20,460 --> 00:36:20,820 +short .. short .. short .. short .. short .. short + +475 +00:36:20,820 --> 00:36:21,120 +.. short .. short .. short .. short .. short .. + +476 +00:36:21,120 --> 00:36:21,480 +short .. short .. short .. short .. short .. short + +477 +00:36:21,480 --> 00:36:21,860 +.. short .. short .. short .. short .. short .. + +478 +00:36:21,860 --> 00:36:21,900 +.. short .. short .. short .. short .. short .. + +479 +00:36:21,900 --> 00:36:22,040 +.. short .. short .. short .. short .. short .. + +480 +00:36:22,040 --> 00:36:32,620 +short .. short .. short .. short ..calculate the + +481 +00:36:32,620 --> 00:36:35,120 +maximum charge on the capacitor ايش الخطأ اللى + +482 +00:36:35,120 --> 00:36:38,060 +جانى بيصير عند الشباب او عند الطلبة بصوره اجمالية + +483 +00:36:38,060 --> 00:36:42,140 +انا بقولك ال charge على حد طبعا اللى بيكون مجرد ما + +484 +00:36:42,140 --> 00:36:45,140 +بيخش على امتحان حافظ القوانين ومشي عنده قانون في + +485 +00:36:45,140 --> 00:36:48,360 +الكتاب ولا في الدكتور بيقول C في إبسنان هذا مش + +486 +00:36:48,360 --> 00:36:52,240 +قانون هذا قانون في دائرة معينة بيقولك هاي هال 32 + +487 +00:36:52,240 --> 00:36:55,400 +وهذه كانت معاشرة ب 32 فاطلعش وقال كف الله + +488 +00:36:55,400 --> 00:37:01,200 +والمؤمنين على قتالك بطلع غلطلأن هنا أصلا هادي كان + +489 +00:37:01,200 --> 00:37:06,340 +Vc وفي ديانة المعاملة Vc بتساوي إفسلون تمام؟ إذا + +490 +00:37:06,340 --> 00:37:09,520 +أنا مطلوب مني عشان أجيب هادي، بدي أجيب فرقة جوهر + +491 +00:37:09,520 --> 00:37:12,760 +بالترافير المكثف، بعدين أعظمها في إيش، فطلعت شخص + +492 +00:37:12,760 --> 00:37:16,560 +ما يكوف وراك، واضح؟ أما .. هاي فرقة جوهر بالترافير + +493 +00:37:16,560 --> 00:37:21,820 +المكثف بتساوي 32 volt؟ لأطبعا خلّيني أشوف اذا انا + +494 +00:37:21,820 --> 00:37:24,920 +اجهز الحرارة في كل جزء من حرارة T بساوة صفر و + +495 +00:37:24,920 --> 00:37:30,060 +اتخيل حرارة كبسيطار على حرارة كبسيطار عشان اجيب + +496 +00:37:30,060 --> 00:37:30,700 +الحرارة عشان اجيب الحرارة عشان اجيب الحرارة عشان + +497 +00:37:30,700 --> 00:37:32,500 +اجيب الحرارة عن T بساوة صفر ولا عن T بساوة من + +498 +00:37:32,500 --> 00:37:35,820 +النهاية عن T بساوة من النهاية تمام؟ وبالتالي + +499 +00:37:35,820 --> 00:37:39,140 +التيارات اللي بجيبهم هنا بقدر استخدمهم هنا؟ لأ لأن + +500 +00:37:39,140 --> 00:37:42,300 +هذه التيارات عن زمن معين زمنها بتتغير وتيارة انا + +501 +00:37:42,300 --> 00:37:44,920 +بعرف انه بتتغير جاعد التيارة عن T بساوة صفر + +502 +00:37:47,850 --> 00:37:50,810 +سنوش و كده هي هذه السؤال دي القاعدتين اللي أخدتهم + +503 +00:37:50,810 --> 00:37:56,510 +أنا بقول ال T بتساوي سفر the capacitor acts as a + +504 +00:37:56,510 --> 00:37:59,130 +short circuit إيش أسوي؟ قولتوا عشان برضه ما + +505 +00:37:59,130 --> 00:38:03,950 +تخربطوش اعملوها ع الرسمة جيه أعملوها زي هيك شوفتوا + +506 +00:38:03,950 --> 00:38:07,130 +دي خط الأزرق إيه صار فيه؟ طب لما حاطيتنا الخط + +507 +00:38:07,130 --> 00:38:12,210 +الأزرق هذا عشان بس يبين عنكم بيان؟ + +508 +00:38:12,210 --> 00:38:18,560 +سكرته التغري ال capacitor في الأولالكبستر ارتغى + +509 +00:38:18,560 --> 00:38:24,840 +هجيه سبت الأرض عقوم اتوصل بترقبينها سيليك ارتغى + +510 +00:38:24,840 --> 00:38:27,720 +تلقى عشرين ساعة هذه نفسي انا ماجيش حبالي فى + +511 +00:38:27,720 --> 00:38:31,760 +الامتحان بقول خليني اطبخ كرشو فى التانى هذى loop و + +512 +00:38:31,760 --> 00:38:37,420 +لا مش loop اكام عنصر فيها الكبستر ارتغى ايش هي + +513 +00:38:37,420 --> 00:38:42,080 +اكام عنصر ضد واحد يلا نشتغل عليها اربعة اية اتنين + +514 +00:38:42,080 --> 00:38:47,070 +كدهش اية اتنينهو مقاوم او اتفاد اذا ماعرفت انه + +515 +00:38:47,070 --> 00:38:50,250 +مقاوم او اتفاد اذا ماعرفت انه مقاوم او اتفاد اذا + +516 +00:38:50,250 --> 00:38:52,350 +ماعرفت انه مقاوم او اتفاد اذا ماعرفت انه مقاوم او + +517 +00:38:52,350 --> 00:38:55,690 +اتفاد اذا ماعرفت انه مقاوم او اتفاد اذا ماعرفت انه + +518 +00:38:55,690 --> 00:38:56,850 +مقاوم او اتفاد اذا ماعرفت انه مقاوم او اتفاد اذا + +519 +00:38:56,850 --> 00:38:58,650 +ماعرفت انه مقاوم او اتفاد اذا ماعرفت انه مقاوم او + +520 +00:38:58,650 --> 00:39:04,730 +اتفاد اذا ماعرفت انه مقاوم او اتفاد اذا ماعرفت انه + +521 +00:39:04,730 --> 00:39:10,030 +مقاوم او اتفاد اذا ماعرفت انه مقاوم اوأي 2 بيساوي + +522 +00:39:10,030 --> 00:39:13,770 +صفر هيها إيش داروا أي واحد و أي تلاتة نفسهم صاروا؟ + +523 +00:39:13,770 --> 00:39:20,530 +و إيش بيساوي؟ 32 على 6 صح ولا لأ؟ 32 على 6 تلعت 5 + +524 +00:39:20,530 --> 00:39:23,370 +.3 أمبير حلو؟ + +525 +00:39:25,380 --> 00:39:28,300 +هي اول مقبوط، بدوا الطيارات، طلعت الطيارات، واحدة + +526 +00:39:28,300 --> 00:39:31,500 +منهم طلعت صفر والتانين زي بعض، وطلعوا بها الصيغة + +527 +00:39:31,500 --> 00:39:36,320 +فجيت بقوللي، رجعنا، the maximum charge is attained + +528 +00:39:36,320 --> 00:39:39,300 +after a long time، هذه معلومة لازم تكون معناها، + +529 +00:39:39,300 --> 00:39:42,180 +انت عارفها، بيقولك maximum charge إذا معناته وقت T + +530 +00:39:42,180 --> 00:39:45,720 +goes to ملا نهاية تمام، at this time, the + +531 +00:39:45,720 --> 00:39:49,380 +capacitor is treated as if it were an open switch، + +532 +00:39:49,380 --> 00:39:53,890 +هذه المعلومة اللي بتعرفها، طب هي open switchلو + +533 +00:39:53,890 --> 00:39:56,690 +انكبست الرأي شباك في الدائرة، من يقول يجديش I + +534 +00:39:56,690 --> 00:39:59,730 +ثلاثة؟ + +535 +00:39:59,730 --> 00:40:04,710 +I ثلاثة يظلو بواحدة بظلو بواحدة معناته I اتنين و I + +536 +00:40:04,710 --> 00:40:10,110 +واحد زي بعضه ولا لا مديش بيساوم 32 تلاتين على عشرة + +537 +00:40:11,600 --> 00:40:16,280 +فالطيارات اختلفت مثلا كانت I2 و I3 I1 و I3 بيساوي + +538 +00:40:16,280 --> 00:40:21,740 +كذا و I2 صرف و I3 هي الصفر إذا الطيارات بتتغير من + +539 +00:40:21,740 --> 00:40:25,720 +زمن لزمن و هذا اللي هنعرفه بيقول I3 equal to 0 + +540 +00:40:25,720 --> 00:40:29,300 +لإنها open circuit ال capacitor open circuit + +541 +00:40:29,300 --> 00:40:32,380 +اتعامل مع الcapacitor عندي بيساومني نهاية انه شبك + +542 +00:40:32,380 --> 00:40:37,450 +فتحة في الجائعة معناته هنا مافيش طيار خلاصطب انا + +543 +00:40:37,450 --> 00:40:40,350 +الباطخ اللى .. اللى رجع منه انه هنا فى طيار بشحن + +544 +00:40:40,350 --> 00:40:43,050 +وكان فى طيار بعاكس تبع ال capacitor فبلغوا بعض هي + +545 +00:40:43,050 --> 00:40:47,210 +دى ال branch بس فهذا الأساس صار تلقى و I2 بيساوي + +546 +00:40:47,210 --> 00:40:52,470 +I3 بيساوي 32 عشرة 3.2 امبير الان انا بديش تييرات + +547 +00:40:52,470 --> 00:40:57,630 +بدي شحنات على ال capacitor عشان يجيب الشحنات بيجيب + +548 +00:40:57,630 --> 00:41:02,570 +الجهود الجهود .. الجهود انا بخبط دايما الطلاب عشان + +549 +00:41:02,570 --> 00:41:05,250 +ما يخبطوش في دوايا الجامعة نكون معقدة بيقول خلاص + +550 +00:41:05,250 --> 00:41:10,310 +هي ايه بيه؟هجيب مش VAB هي فرق الجود بين ثلاثين + +551 +00:41:10,310 --> 00:41:13,250 +مكثف و أنا بتعلم ان كيف اجيب فرق الجود بين نقطتين + +552 +00:41:13,250 --> 00:41:16,250 +بدي من نقطة و روح عن نقطة تانية مظبوط ولا لأ هجيب + +553 +00:41:16,250 --> 00:41:18,950 +بدي اجيب من نقطة و روح عن نقطة تانية لأ ماشي هيك + +554 +00:41:18,950 --> 00:41:23,330 +لأ ماشي هيك صح او لأ فالعكس بدي نفسي جواب خلينا + +555 +00:41:23,330 --> 00:41:26,310 +نمشي هيك سهلا مش هيك ماشي انا عندي أربعة في آية + +556 +00:41:26,310 --> 00:41:29,950 +اتنين و خرط أربعة في آية اتنين طب معظمنا هنا في + +557 +00:41:29,950 --> 00:41:32,010 +خطأ مصبعي هذه واحدة + +558 +00:41:36,430 --> 00:41:39,850 +ثم اذا ضمن وجود فرق الجهد بالترفيه المكثف هو فرق + +559 +00:41:39,850 --> 00:41:44,330 +الجهد بالترفيه الاربعة او بسعة اتنين وتلاتين ناقص + +560 +00:41:44,330 --> 00:41:50,050 +ستة اي واحد صحيح؟ المهم لتخطيط الشحن على الكباسيتر + +561 +00:41:50,050 --> 00:41:55,010 +نريد فقط أن نجد الاختلاف الوطني عبره عشان أجيب + +562 +00:41:55,010 --> 00:42:01,550 +الشحنة لأن الشحنة بتثور C في Vوهذه بتنزيلها جيبت + +563 +00:42:01,550 --> 00:42:05,090 +هذه طلبت هذه لإيصال معطل زي ما بتكون اذا انا بقول + +564 +00:42:05,090 --> 00:42:08,970 +مني اجيب فرق جود من طرفيه المكفف عشان اجيب فرق جود + +565 +00:42:08,970 --> 00:42:09,830 +من طرفيه المكفف + +566 +00:42:30,380 --> 00:42:37,980 +بالتالي U بيصيح C فى V وطلعتها بيصيح 1.5 x 10⁻⁴ ¼ + +567 +00:42:37,980 --> 00:42:47,580 +كل يوم تمام هيك بيكون أجمعنا هذا ال chapter ل quiz + +568 +00:42:47,580 --> 00:42:51,720 +تبع وحيد ده اليوم و هينتهي يوم التلاتة اللى وراه + +569 +00:42:52,390 --> 00:42:56,750 +سبوع كامل بينا ناخد بقى الاعتبار مشكلة الكهربا و + +570 +00:42:56,750 --> 00:43:02,790 +ال .. و ال net و ال .. و الساعات طب + +571 +00:43:02,790 --> 00:43:05,670 +مانيحي اذا كتبت .. معاكم فيه television عندك؟ + +572 +00:43:05,670 --> 00:43:11,370 +هتبقى في الأفلام؟ مين الكهربا عندك؟ تمام اكمل انهي + +573 +00:43:11,370 --> 00:43:12,210 +هذه المحاضرة + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo.srt new file mode 100644 index 0000000000000000000000000000000000000000..63f100b604d5e898636b6042d7b45278330b9897 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo.srt @@ -0,0 +1,678 @@ +1 +00:00:10,220 --> 00:00:14,560 +تمام، نبدأ الـ chapter العاشر، بسم الله الرحمن الرحيم + +2 +00:00:14,560 --> 00:00:17,280 +وعنوانه الـ inductance وهو تابع للـ chapter اللي + +3 +00:00:17,280 --> 00:00:20,260 +جابله مباشرة، في بعض الكتب بيحطوهم في chapter واحد + +4 +00:00:20,260 --> 00:00:22,180 +الـ inductance + +5 +00:00:24,300 --> 00:00:28,420 +الـ محافظة اللي كنتوا تسموها أنتو الـ inductance الـ + +6 +00:00:28,420 --> 00:00:33,020 +problems هدهم، و نبدأ بالمعلومة اللي احنا اخذناها + +7 +00:00:33,020 --> 00:00:35,280 +هذه كلها problems كتيرة شوية + +8 +00:00:38,870 --> 00:00:45,210 +self-inductance بعد ما فرضاه، طلع غاهرته، صار فيه + +9 +00:00:45,210 --> 00:00:48,150 +بعض الملاحظات اللي ما كانتش مفسرة بدأت تتفسر شباب + +10 +00:00:48,150 --> 00:00:51,970 +إيش هي؟ بيقول لي consider the circuit shown قولي + +11 +00:00:51,970 --> 00:00:55,910 +أنت إيش هو الملف؟ ما هو سلك ولا مش سلك؟ الملف أبراعا + +12 +00:00:55,910 --> 00:00:59,790 +سلك، وفيه دائرة خبيرة، مش فيها سلك كلها، فيه سلك كلها + +13 +00:00:59,790 --> 00:01:02,470 +كانت أبراعا، كانت سلك بس هذا السلك هيك ألفوه عشان + +14 +00:01:02,470 --> 00:01:05,910 +يصير زي ملف، قال لي أنت في دائرتك إيش بيصير معاك؟ مش + +15 +00:01:05,910 --> 00:01:09,380 +أنت بتفتح المفتاح وبتسكر المفتاح، طيب أنت لما سكر + +16 +00:01:09,380 --> 00:01:12,500 +مفتاحك، التيار بصير فيه تيار، افتح مفتاحك بيروح + +17 +00:01:12,500 --> 00:01:15,820 +التيار، إذا إيش معناه؟ أنت عارف هناك زيادة و نقصان + +18 +00:01:15,820 --> 00:01:19,860 +أنت لما سكرت مفتاحك صار فيه تيار، زاد التيار، افتح + +19 +00:01:19,860 --> 00:01:24,960 +مفتاحك بينقص التيار، طيب هذا التيار عارف أنه بيولد + +20 +00:01:24,960 --> 00:01:29,020 +مجال مغناطيسي ولا لأ؟ بيولد مجال مغناطيسي يعني أنا + +21 +00:01:29,020 --> 00:01:34,080 +لما سكرت مفتاحي شباب بصير فيه تيار بتولد مجال .. + +22 +00:01:34,080 --> 00:01:37,340 +اتولد مجال، صار فيه flux على الدائرة هذه .. صار فيه + +23 +00:01:37,340 --> 00:01:40,020 +flux .. الـ flux كان zero صار له قيمة، زاد .. افتح + +24 +00:01:40,020 --> 00:01:43,180 +مفتاحك، الـ flux كان له قيمة، صار zero، نقص فرضيا + +25 +00:01:43,180 --> 00:01:46,080 +بيقول الزيادة و النقصان تغير .. إذا ممكن تتولد + +26 +00:01:46,080 --> 00:01:50,200 +عندك تيار مستحث، الناس بيقولوا التيار المستحث بيكون + +27 +00:01:50,200 --> 00:01:54,100 +عكس الأصلي، بشركة اتفقنا أن هي واحدة واحدة بيقول + +28 +00:01:54,100 --> 00:01:55,720 +consider the circuit shown in the figure اللي + +29 +00:01:55,720 --> 00:01:58,240 +دايماً في كل دواية كهربائية موجودة في دواية + +30 +00:01:58,240 --> 00:02:02,660 +كهربائية موجودة في أي جهاز، وفي أي شغلة طبيعية، وفي + +31 +00:02:02,660 --> 00:02:05,940 +الآخر أنت بتفتح و بتسكر، بتشغل و بتبطي، ما هو شغل + +32 +00:02:05,940 --> 00:02:10,420 +يعني سكرت، أنت لما شغلت أي جهاز يعني خلت التيار يفوت + +33 +00:02:10,420 --> 00:02:15,020 +تفتت الجهاز، يعني فتحت المفتاح، هي معناه off و on + +34 +00:02:15,020 --> 00:02:17,460 +بيقول consider the circuit shown in the figure + +35 +00:02:18,930 --> 00:02:25,750 +عندما تغلق المفتاح، تغلق مفتاحك، الهواتف و المجال + +36 +00:02:25,750 --> 00:02:30,250 +المغناطيسي بيزداد من صفر إلى قيمة محددة. + +37 +00:02:46,690 --> 00:02:50,790 +موجود هذا المجال المغناطيسي، هذا هو إجا من التيار + +38 +00:02:50,790 --> 00:02:55,210 +حسب القاعدة هذه، طلع عندك مجال بهذا الشكل، هذه مجال + +39 +00:02:55,210 --> 00:02:59,510 +تمام، طبعا هذه المجال اتولد طول ما فيه تيار + +40 +00:02:59,510 --> 00:03:04,570 +الزيادة كانت في رحلة ضامعة معينة، تمام، الآن بيقول + +41 +00:03:04,570 --> 00:03:08,830 +the increasing magnetic flux بيوصل from the induced + +42 +00:03:08,830 --> 00:03:13,480 +and induced التغير بس التغير وقتين صار شباب، بس عند + +43 +00:03:13,480 --> 00:03:17,360 +الإغلاق، بس عند الإغلاق، بعد ما أقلق وصلنا عليه في + +44 +00:03:17,360 --> 00:03:20,820 +مجال المغناطيسي، لكن ثبت بيكونش تغير ما فيش induced + +45 +00:03:20,820 --> 00:03:26,000 +current، إذا الـ induced current بتولد لحظيا ساعة + +46 +00:03:26,000 --> 00:03:29,780 +مسكر، لأنه في هذه اللحظة صار التغير، بعد كده المجال + +47 +00:03:29,780 --> 00:03:33,580 +المغناطيسي ثبت ما فيش تغير ما فيش induced current إذا + +48 +00:03:33,580 --> 00:03:45,660 +هذه الشغلة بيصير لحظة الإغلاق، التغيير في + +49 +00:03:45,660 --> 00:03:49,200 +الزيادة + +50 +00:03:49,200 --> 00:03:49,920 +في المعاكس + +51 +00:03:58,500 --> 00:04:02,520 +معاكس، إذا إيش معناه؟ لو هذا التيار كان جد هدي، + +52 +00:04:02,520 --> 00:04:06,640 +إيش بيكون التيار كله؟ سفر، بس هذا التيار مع الأسف + +53 +00:04:06,640 --> 00:04:12,280 +أو مع حصن الحظ بطولش، بطولش، ليش؟ لأنه بعد ما سكر + +54 +00:04:12,280 --> 00:04:16,800 +هذا ثبت، ما فيش تغير، هذا بيروح، إذا إيه هذا إيش + +55 +00:04:16,800 --> 00:04:19,220 +مهمته؟ بيقولوا هذا مهمته، بعوجلي هذا شوية و بعدين + +56 +00:04:19,220 --> 00:04:26,110 +بيروح، العقب بصمدش كتير، يعني عندما يغطي التيار هذا + +57 +00:04:26,110 --> 00:04:29,850 +لا يصبح قيمته مرة واحدة، في حد يعوج قليلا فبصير + +58 +00:04:29,850 --> 00:04:33,910 +قيمته تدريجيا، لما اللي يعوج يروح بصير قيمته العظمة + +59 +00:04:33,910 --> 00:04:39,450 +إذا مهمة الـ induction إعاقة وصول التيار إلى قيمته + +60 +00:04:39,450 --> 00:04:45,170 +العظمة للحظات ما للحظات ما، هذا هم التيارين هذا + +61 +00:04:45,170 --> 00:04:51,000 +العكس، بعد بيعيق هذا كالـ التيار الـ end عمره قصير .. + +62 +00:04:51,000 --> 00:04:54,620 +عمره قصير .. بيروح على طول .. بيروح بعد ثبات التيار + +63 +00:04:54,620 --> 00:04:57,700 +.. بعد ثبات المجال المغناطيسي .. بعد ثبات الـ flux + +64 +00:04:57,700 --> 00:05:02,420 +.. تمام .. الآن إيش بيقول لي .. the effect of this + +65 +00:05:02,420 --> 00:05:07,260 +induced emf is to retard .. إعاقة .. is to retard + +66 +00:05:07,260 --> 00:05:11,200 +.. the change of the original current .. that is + +67 +00:05:11,200 --> 00:05:15,220 +retard its increasing .. بعيق زيادة .. هو رايح + +68 +00:05:15,220 --> 00:05:20,670 +للزيادة بأي قطبية .. تمام .. نفس الظاهرة نفس + +69 +00:05:20,670 --> 00:05:25,750 +الملاحظة أو الظاهرة حدثت عند فتح المفتاح، طبعا في + +70 +00:05:25,750 --> 00:05:48,630 +نقصان في تغير برضه + +71 +00:05:48,740 --> 00:05:55,460 +بعود بيروح للسفر غصب عنه لأن المعيق بيروح و بيموت، كان + +72 +00:05:55,460 --> 00:05:58,580 +ليه؟ هذا كله جاية من نفس الدائرة، ما فيش دائرة + +73 +00:05:58,580 --> 00:06:02,020 +ثانية، الـ Silk بيأثر على حاله، this phenomena is + +74 +00:06:02,020 --> 00:06:03,980 +called self-induction، عشان كده بيسموها self + +75 +00:06:03,980 --> 00:06:08,320 +-induction، دائرة بتأثر على حالها، بتقيق نفسها، + +76 +00:06:08,320 --> 00:06:12,340 +since the changing flux through the circuit arises + +77 +00:06:12,340 --> 00:06:15,940 +from the circuit itself، نفس الـ circuit، the induced + +78 +00:06:15,940 --> 00:06:19,540 +induced due to this phenomena is called the self + +79 +00:06:19,540 --> 00:06:22,620 +-induced emf، لما زال دائرة واحدة بيسموها self + +80 +00:06:22,620 --> 00:06:26,410 +-inductance، إذا كان الـ EMF اندوز في مدارس بسبب + +81 +00:06:26,410 --> 00:06:31,490 +تغيير مجلد المجلد المجلدي، مجلد مجلد مجلد مجلد مجلد + +82 +00:06:31,490 --> 00:06:31,510 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +83 +00:06:31,510 --> 00:06:32,150 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +84 +00:06:32,150 --> 00:06:32,590 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +85 +00:06:32,590 --> 00:06:35,090 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +86 +00:06:35,090 --> 00:06:36,770 +مجلد مجلد + +87 +00:06:49,180 --> 00:06:52,180 +إذا كانت عنف أدوة في حركة بسبب تغيير الهواء + +88 +00:06:52,180 --> 00:06:57,400 +المغناطيسي يجلس على حركة أخرى، لدينا الـ inductances + +89 +00:06:57,400 --> 00:07:01,020 +المتعاملين، تمام، لكي نحصل على .. هجيش بيقول لي هذا + +90 +00:07:01,020 --> 00:07:04,740 +المتعاملين الأجلها بدي الآن أجيب قانون إليه الـ + +91 +00:07:04,740 --> 00:07:09,460 +self inductance، لكي نحصل على تسمية عملية من + +92 +00:07:09,460 --> 00:07:13,720 +الـ inductances نعرفه من فردايزلو، ارجع لقول قوانينك + +93 +00:07:13,720 --> 00:07:17,730 +الأولية بيقولي فردايزلو، إيش بيقول لك؟ بيقول لك فا تتنسب + +94 +00:07:17,730 --> 00:07:24,450 +مع Φ و Φ بتتنسب مع I، إذا معناه هذه سالب dΦ + +95 +00:07:24,450 --> 00:07:28,750 +على dt، و حافظ ثابت، هذا ثابت بيبقى كل حاجة الـ بل + +96 +00:07:28,750 --> 00:07:32,630 +هذا ثابت بيعتمد على الـ silic نفسه، على الـ silic + +97 +00:07:32,630 --> 00:07:39,330 +نفسه، الـ ثابت بيعتمد على الـ silic نفسه سموه المحثة + +98 +00:07:39,330 --> 00:07:42,470 +حاجة اللي بيسموها المحثة في العربي، اللي بيسميها الـ + +99 +00:07:42,470 --> 00:07:46,820 +inductance، الـ inductance هنا، البرمجة التي كونستانس + +100 +00:07:46,820 --> 00:07:50,580 +قال هي الـ self-inductance أو ببساطة الـ inductance + +101 +00:07:50,580 --> 00:07:56,040 +من الـ coil لأي سلك أو ملف، الأسئلة، unit of inductance + +102 +00:07:56,040 --> 00:08:00,480 +هو هنري، مرت عليكم؟ هذه الـ هنري التي من الأقصى + +103 +00:08:00,480 --> 00:08:04,140 +الأسئلة هي equal to، هيها ده، ليش متساوي؟ هذه إيش + +104 +00:08:04,140 --> 00:08:10,560 +واحدتها؟ volt و هذه؟ second، volt second على Amp + +105 +00:08:10,560 --> 00:08:18,450 +مظبوط ولا ده؟ فسموها هنري، وولد ثاند على أمبير تمى + +106 +00:08:18,450 --> 00:08:22,170 +بيقول comparing the two equations، أنا ما بديش يجيت + +107 +00:08:22,170 --> 00:08:28,330 +أنا خلينا نرجع أولاً هنا هجت كل سلك شباب له L زي + +108 +00:08:28,330 --> 00:08:34,350 +ما كل سلك له R، هده L و R، وهده L و R، هده سلك أرقام + +109 +00:08:34,350 --> 00:08:37,270 +نظرية ناشر نعتبرها؟ Zero، لكن إيه لها R ولا ما لهاش؟ + +110 +00:08:37,270 --> 00:08:41,310 +هده أول ما أشوفها فيه R ولا ما فيهاش، هجت هي سلك و هد + +111 +00:08:41,310 --> 00:08:46,210 +سلك، هذه الـ تبعت تأولي للسفير، وهذه الـ لها قيمة بس + +112 +00:08:46,210 --> 00:08:50,550 +لكن هدف أن هي مهوسلة ملفوف، بس أول ما أشوف هذه بقول + +113 +00:08:50,550 --> 00:08:54,550 +الـ لها قيمة معتبرة، هذه لها الـ لكن تقريبا سفر + +114 +00:08:54,550 --> 00:08:58,710 +فبيلاقوا أن هذه الشغلة الظاهرة مش موجودة إلا إذا + +115 +00:08:58,710 --> 00:09:02,510 +كان في عندك ملف، أما solenoid أو toroid، تفرجش + +116 +00:09:02,510 --> 00:09:09,480 +فـ الظاهرة هذه بتظهرش إلا بوجود الملفات، السلك العادي + +117 +00:09:09,480 --> 00:09:14,920 +موجودة لكن مهملة تقريباً قيمتها 0، موجودة بصورة كثير + +118 +00:09:14,920 --> 00:09:18,780 +ضعيفة، زي لما أقول هذه R موجودة لكن صورتها ضعيفة + +119 +00:09:18,780 --> 00:09:22,200 +جدا، وبالتالي بقربها للـ zero نظريا، فمن يوم ما أطلع + +120 +00:09:22,200 --> 00:09:27,260 +الإضافي عنده عنصر جديد، ملف، القيمة تبعته هي L، إيش + +121 +00:09:27,260 --> 00:09:32,630 +وجوده بيسوي؟ بيعود لفترة مالية، بيقعد عوض فترة ما يا + +122 +00:09:32,630 --> 00:09:36,410 +بيقول لأن هو إذا ثبت، طب إذا وين شغله لو كان التيار + +123 +00:09:36,410 --> 00:09:40,530 +متردد؟ بيضلوا شغالة الملف بيضلوا شغالة بيضلوا + +124 +00:09:40,530 --> 00:09:44,730 +شغالة، لأنه التردد مستمر، لكن في التيار المستمر + +125 +00:09:44,730 --> 00:09:47,710 +وكشف بيشتغل لما ساكر وافتح، لكن في التيار المتردد + +126 +00:09:47,710 --> 00:09:51,810 +إيش؟ ما هو دايماً متردد وأنت بتقول لي أنا بشتغل لما + +127 +00:09:51,810 --> 00:09:54,890 +التيار بيغير، ما هو في التيار المتردد متغير على + +128 +00:09:54,890 --> 00:09:59,470 +طول، إذا أهمية الملفات بتكون وين؟ في الدوار التيار + +129 +00:09:59,470 --> 00:10:03,770 +المتردد، دايماً شغالة، دايماً بتطلع لك مجال كهربائي + +130 +00:10:03,770 --> 00:10:06,470 +ومجال وتيار، مصطلحات، وبالتالي بتكون اللي هي شغل + +131 +00:10:06,870 --> 00:10:09,970 +واضح، طبعاً ما دخلناش بالتيار المتردد، الآن في + +132 +00:10:09,970 --> 00:10:14,950 +الدائرة المستمرة شغلها فقط ساعة إغلاق وفتح الدائرة + +133 +00:10:14,950 --> 00:10:20,450 +فقط، هذه النقطة بيصير في تغير غير كده ما بصرش فيه أي + +134 +00:10:20,450 --> 00:10:25,030 +تغير، تمام + +135 +00:10:25,030 --> 00:10:31,010 +الآن حاطها، طبعا الملف اللي احنا متفقين زي مكان C + +136 +00:10:37,920 --> 00:10:42,800 +A coil that has significant inductance is called + +137 +00:10:42,800 --> 00:10:43,380 +inductor + +138 +00:10:52,490 --> 00:10:57,250 +مكثف لو جيبت ترجمتها لحرفية هتصبح condenser صح ولا + +139 +00:10:57,250 --> 00:11:00,770 +لأ؟ capacitor اسم علمي ما لهوش ده أوي، كلمة تكثيف + +140 +00:11:00,770 --> 00:11:04,190 +capacitor اجت من سعة capacitance فهو capacitor + +141 +00:11:04,190 --> 00:11:08,270 +resistance فهو resistor، فهذا inductance فسموه + +142 +00:11:08,270 --> 00:11:13,450 +inductor فالـ inductor هو الجهاز العلمي اللي بيشتغل + +143 +00:11:13,450 --> 00:11:17,150 +اللي له inductance، اللي بيشتغل اللي بيسموه inductor + +144 +00:11:17,150 --> 00:11:21,510 +فهذا هو الاسم العلمي للـ coil and is represented in + +145 +00:11:21,510 --> 00:11:24,850 +the circuit، تعرفوا الـ symbol تبعه، سيلونويد، مش + +146 +00:11:24,850 --> 00:11:28,190 +متفقين احنا سيلونويد فهي الـ symbol تبعه، من يوم ما + +147 +00:11:28,190 --> 00:11:31,690 +فلأول ما أشوف هذا بقول بده أحط جنبها L زي أول ما + +148 +00:11:31,690 --> 00:11:34,510 +أجيب هنا إيش بحط جنبها R، أول ما أجيب مكبسة عليه + +149 +00:11:34,510 --> 00:11:38,830 +بحط جنبها C، إذا صار في عندي عنصر جديد في الدائرة + +150 +00:11:39,550 --> 00:11:45,510 +بطارية، عنصر المقاومة، عنصر الـ capacitor، عنصر و الملف + +151 +00:11:45,510 --> 00:11:49,930 +عنصر، هي أربع عناصر مروا عليها ما فيش إشي طبعا + +152 +00:11:49,930 --> 00:11:55,530 +كيرشوف، ذاكرين كيرشوف؟ قال لي فروق الجهود وأنت ماشي + +153 +00:11:55,530 --> 00:11:59,990 +في كل العناصر جمعهم سوية ومصفر فاق الجهود، قال لي + +154 +00:11:59,990 --> 00:12:05,010 +فاق الجهود هي، فاق الجهود هجيبه من هنا، هذه فرق + +155 +00:12:05,010 --> 00:12:11,410 +الجهود الـ capacitor، جيبه، وطلّع V متساوي Q على C، أنا + +156 +00:12:11,410 --> 00:12:14,910 +مسموح أن تكون ثابتة إذا كان ثابتاً، فهي فرق جهود + +157 +00:12:14,910 --> 00:12:22,830 +طيب لو كان التيار ثابت إيه الملف إيش بيشتغل؟ سلك + +158 +00:12:22,830 --> 00:12:25,950 +عادي، بيبطل الشغل، سلك عادي بيرجع هل هي السلك + +159 +00:12:25,950 --> 00:12:29,810 +طويل ولا قصير؟ بتفرج معاك أنت ملفته ولا عدلته + +160 +00:12:29,810 --> 00:12:33,970 +بتفرج معاك ولا لا؟ إذا هذا الملف إذا التيار ثابت + +161 +00:12:33,970 --> 00:12:37,910 +بيرجع سلك short circuit ولا إله شغل، ما بيشتغلش + +162 +00:12:37,910 --> 00:12:42,270 +بالمرة بيجلسوا بيقولوا كده بيحسبوها الـ coil وبيحط + +163 +00:12:42,270 --> 00:12:47,980 +قيمتها و بيرموها للسوق بكده بيجيب small n تربيع على L، ثم + +164 +00:12:47,980 --> 00:12:50,840 +solution، طبعا بقول knowing that inside the + +165 +00:12:50,840 --> 00:12:53,160 +solenoid B is uniform and is given by، هذه الـ + +166 +00:12:53,160 --> 00:12:57,280 +solenoid idea solenoid هي B، μ not N في I، هذه الـ N + +167 +00:12:57,280 --> 00:13:00,660 +حاطط capital N على L، صحيح ولا لأ؟ وهذه I خلاص + +168 +00:13:00,660 --> 00:13:03,540 +حسيتها وأنا حسبتها، بس نحسبها كمان مرة، بقول الآن + +169 +00:13:03,540 --> 00:13:08,570 +Φ، يساوي B في A في cos صفر لأن الذاكرين أن الـ + +170 +00:13:08,570 --> 00:13:11,570 diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..0ba1a29cb196aac438fad224a6609fa2b2699cb2 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo_postprocess.srt @@ -0,0 +1,732 @@ +1 +00:00:10,220 --> 00:00:14,560 +تمام نبدأ ال chapter العاشر بسم الله الرحمن الرحيم + +2 +00:00:14,560 --> 00:00:17,280 +وعنوانه ال inductance وهو تابع لل chapter اللي + +3 +00:00:17,280 --> 00:00:20,260 +جابله مباشرة في بعض الكتب بحطوهم في chapter واحد + +4 +00:00:20,260 --> 00:00:22,180 +ال inductance + +5 +00:00:24,300 --> 00:00:28,420 +المحافظة اللي كنتوا تسموها انتوا ال inductance ال + +6 +00:00:28,420 --> 00:00:33,020 +problems هدهم و نبدأ بالمعلومة اللي احنا اخدناها + +7 +00:00:33,020 --> 00:00:35,280 +هذه كلها problems كتيرة شوية + +8 +00:00:38,870 --> 00:00:45,210 +self-inductance بعد ما فرضاه طلع غاهرته صار فيه + +9 +00:00:45,210 --> 00:00:48,150 +بعض الملاحظات اللي ماكنتش مفسرة بدأت تتفسر شباب + +10 +00:00:48,150 --> 00:00:51,970 +ايش هي بيقول لي consider the circuit shown قللي + +11 +00:00:51,970 --> 00:00:55,910 +انت ايش هو الملف ماهو سلك ولا مش سلك الملف أبراعا + +12 +00:00:55,910 --> 00:00:59,790 +سلك وفيه دائرة خبيرة مش فيها سلك كلها فيه سلك كلها + +13 +00:00:59,790 --> 00:01:02,470 +كانت أبراعا كانت سلك بس هذا السلك هيك ألفوه عشان + +14 +00:01:02,470 --> 00:01:05,910 +يصير زي ملف قاللي انت في دائرتك ايش بيصير معاك مش + +15 +00:01:05,910 --> 00:01:09,380 +انت بتفتح المفتاح و بتسكر المفتاحطيب انت لما سكر + +16 +00:01:09,380 --> 00:01:12,500 +مفتاحك الطيار بصير فيه طيار افتح مفتاحك بروح + +17 +00:01:12,500 --> 00:01:15,820 +الطيار اذا ايش معناته انت عارف هناك زيادة و نقصان + +18 +00:01:15,820 --> 00:01:19,860 +انت لما سكر مفتاحك صار فيه طيار زادي الطيار افتح + +19 +00:01:19,860 --> 00:01:24,960 +مفتاحك ننجس الطيار طيب هذا الطيار عارف انه بولد + +20 +00:01:24,960 --> 00:01:29,020 +مجال مغناطيسي ولا لأ بولد مجال مغناطيسي يعني انا + +21 +00:01:29,020 --> 00:01:34,080 +لما سكر مفتاحي شباببصير فيه تيار بتولد مجال .. + +22 +00:01:34,080 --> 00:01:37,340 +اتولد مجال صار فيه flux على الدائرة هذه .. صار فيه + +23 +00:01:37,340 --> 00:01:40,020 +flux .. ال flux كان zero صار له قيمة زاد .. افتح + +24 +00:01:40,020 --> 00:01:43,180 +مفتاحك ال flux كان له قيمة صار zero نقص فرضيا + +25 +00:01:43,180 --> 00:01:46,080 +بيقول الزيادة و النقصان تغير .. اذا ممكن تتولد + +26 +00:01:46,080 --> 00:01:50,200 +عندك تيار مستحفالناس بيقول الطيارة المتحاصرة بيكون + +27 +00:01:50,200 --> 00:01:54,100 +عكس الاصلي بشرك اتفقنا ان هي واحدة واحدة بيقول + +28 +00:01:54,100 --> 00:01:55,720 +consider the circuit shown in the figure اللي + +29 +00:01:55,720 --> 00:01:58,240 +دائما في كل دواية كهربائية موجودة في دواية + +30 +00:01:58,240 --> 00:02:02,660 +كهربائية موجودة في اي جهاز وفي اي شغلة طبيعية وفي + +31 +00:02:02,660 --> 00:02:05,940 +الآخر انت بتفتح و بتسكر بتشغل و بتبطي ما هو شغل + +32 +00:02:05,940 --> 00:02:10,420 +يعني سكرت انت لما شغل اي جهاز يعني خلت الطيار يفوت + +33 +00:02:10,420 --> 00:02:15,020 +تفتت الجهاز يعني فتحت المفتاح هي معناه off و on + +34 +00:02:15,020 --> 00:02:17,460 +بيقول consider the circuit shown in the figure + +35 +00:02:18,930 --> 00:02:25,750 +عندما تغلق المفتاح، تغلق مفتاحك الهواتف والمجال + +36 +00:02:25,750 --> 00:02:30,250 +المغناطيسي يتردد من نصف إلى قيمة محددة. + +37 +00:02:46,690 --> 00:02:50,790 +موجود هذا المجال المغناطيسي هذا هو إجا من التيار + +38 +00:02:50,790 --> 00:02:55,210 +حسب القاعدة هذه طلع عندك مجال بهذا الشكل هذه مجال + +39 +00:02:55,210 --> 00:02:59,510 +تمام طبعا هذه المجالة اتولد طول ما فيه تيار + +40 +00:02:59,510 --> 00:03:04,570 +الزيادة كانت في رحلة ضامعة معينة تمام الآن بيقول + +41 +00:03:04,570 --> 00:03:08,830 +the increasing magnetic flux بيوصل from the induce + +42 +00:03:08,830 --> 00:03:13,480 +and infالتغير بس التغير وقتين صار شباب بس عند + +43 +00:03:13,480 --> 00:03:17,360 +الإغلاق بس عند الإغلاق بعد ما أقلق وصلنا عليه في + +44 +00:03:17,360 --> 00:03:20,820 +مجال المغناطيسي لكن ثبت بيكونش تغير مافيش induce + +45 +00:03:20,820 --> 00:03:26,000 +current إذا ال induce current بتولد لحظيا ساعة + +46 +00:03:26,000 --> 00:03:29,780 +مسكر لأنه في هذه اللحظة صار التغير بعد كده المجال + +47 +00:03:29,780 --> 00:03:33,580 +المغناطيسي ثبت مافيش تغير مافيش induce current إذا + +48 +00:03:33,580 --> 00:03:45,660 +هذه الشغله بيصير لحظة الإغلاقالتغيير في + +49 +00:03:45,660 --> 00:03:49,200 +الزيادة + +50 +00:03:49,200 --> 00:03:49,920 +في المعاكس + +51 +00:03:58,500 --> 00:04:02,520 +معاكس، إذا إيش معناته؟ لو هذا الطيار كان جد هدى، + +52 +00:04:02,520 --> 00:04:06,640 +إيش بيكون الطيار كله؟ سفر، بس هذا الطيار مع الأسف + +53 +00:04:06,640 --> 00:04:12,280 +أو مع حصن الحظ بطولش، بطولش، ليش؟ لأنه بعد ما سكر + +54 +00:04:12,280 --> 00:04:16,800 +هذا ثبت، مافيش تغير، هذا روح، إذا إيه هذا إيش + +55 +00:04:16,800 --> 00:04:19,220 +مهمته؟ بيقولوا هذا مهمته، بعوّجلي هذا شوية و بعدين + +56 +00:04:19,220 --> 00:04:26,110 +بروح، العقب بصمدش كتيريعني عندما يغطي الطيار هذا + +57 +00:04:26,110 --> 00:04:29,850 +لا يصبح قيمته مرة واحدة في حد يعوج قليلا فبصر + +58 +00:04:29,850 --> 00:04:33,910 +قيمته تدريجيا لما اللي يعوج يروح بصر قيمته العظمة + +59 +00:04:33,910 --> 00:04:39,450 +اذا مهمة ال induction إعاقة وصول الطيار إلى قيمته + +60 +00:04:39,450 --> 00:04:45,170 +العظمة للحظات ما للحظات ما هذا هم الطيارين هذا + +61 +00:04:45,170 --> 00:04:51,000 +العكس بعد بيعيق هذا كالطيار ال endعمره قصير .. + +62 +00:04:51,000 --> 00:04:54,620 +عمره قصير .. بروح على طول .. بروح بعد ثبات التيار + +63 +00:04:54,620 --> 00:04:57,700 +.. بعد ثبات المجال المغناطيسي .. بعد ثبات ال flux + +64 +00:04:57,700 --> 00:05:02,420 +.. تمام .. الآن إيش بقوللي .. the effect of this + +65 +00:05:02,420 --> 00:05:07,260 +induced emf is to retard .. إعاقت .. is to retard + +66 +00:05:07,260 --> 00:05:11,200 +.. the change of the original current .. that is + +67 +00:05:11,200 --> 00:05:15,220 +retard its increasing .. بعيق زيادة .. هو رايح + +68 +00:05:15,220 --> 00:05:20,670 +للزيادة بأي قطوية .. تمام ..النفس الفنومينا نفس + +69 +00:05:20,670 --> 00:05:25,750 +المراحظة او الظاهرة حدثت عند فتح المفتاح طبعا في + +70 +00:05:25,750 --> 00:05:48,630 +نقصان في تغير برضه + +71 +00:05:48,740 --> 00:05:55,460 +بعود بروح للسفر غصب عنه لإن المعيق بروح و بموتكان + +72 +00:05:55,460 --> 00:05:58,580 +ليه؟ هاد كله جاية من نفس الدائرة، مافيش دائرة + +73 +00:05:58,580 --> 00:06:02,020 +تانية، Silk بيأثر على حاله، this phenomena is + +74 +00:06:02,020 --> 00:06:03,980 +called self-induction، عشان كده بيسموها self + +75 +00:06:03,980 --> 00:06:08,320 +-induction، دائرة بتأثر على حالها، تقيق نفسها، + +76 +00:06:08,320 --> 00:06:12,340 +since the changing flux through the circuit arises + +77 +00:06:12,340 --> 00:06:15,940 +from the circuit itself، نفس الcircuit، the inf + +78 +00:06:15,940 --> 00:06:19,540 +induced due to this phenomena is called the self + +79 +00:06:19,540 --> 00:06:22,620 +-induced inf، لما زال دائرة واحدة، بيسموها self + +80 +00:06:22,620 --> 00:06:26,410 +-inductanceإذا كان الـ MF اندوز في مدارس بسبب + +81 +00:06:26,410 --> 00:06:31,490 +تغيير مجلد المجلد المجلدي مجلد مجلد مجلد مجلد مجلد + +82 +00:06:31,490 --> 00:06:31,510 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +83 +00:06:31,510 --> 00:06:32,150 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +84 +00:06:32,150 --> 00:06:32,590 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +85 +00:06:32,590 --> 00:06:35,090 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +86 +00:06:35,090 --> 00:06:36,770 +مجلد مجلد + +87 +00:06:49,180 --> 00:06:52,180 +إذا كانت عنف أدوة في حركة بسبب تغيير الهواء + +88 +00:06:52,180 --> 00:06:57,400 +المغناطيكي يجلس على حركة أخرى لدينا الاندوكتانيين + +89 +00:06:57,400 --> 00:07:01,020 +المتعاملين تمام لكي نحصل على .. هجيش بقولي هذا + +90 +00:07:01,020 --> 00:07:04,740 +المتعاملين الأجلها بدي الآن أجيب قانون إليه الـ + +91 +00:07:04,740 --> 00:07:09,460 +self inductance لكي نحصل على تسمية عملية من + +92 +00:07:09,460 --> 00:07:13,720 +الاندوكتانيين نعرفه من فردايزلو ارجع لقول قوانينك + +93 +00:07:13,720 --> 00:07:17,730 +الأولية بقولي فردايزلو إيش بقولك؟بقول لكن فا تتنسب + +94 +00:07:17,730 --> 00:07:24,450 +مع بي و بي بتتنسب مع اي اذا المعناته هذي سالب دي + +95 +00:07:24,450 --> 00:07:28,750 +فا على دي و حافظ ثابت هذا ثابت بيبقى كل حاجة ال بل + +96 +00:07:28,750 --> 00:07:32,630 +هذا ثابت بيعتمد على ال silic نفسه على ال silic + +97 +00:07:32,630 --> 00:07:39,330 +نفسه ال ثابت بيعتمد على ال silic نفسه سموه المحثة + +98 +00:07:39,330 --> 00:07:42,470 +حاجة اللي بيسموها المحثة في العربي اللي بيسميها ال + +99 +00:07:42,470 --> 00:07:46,820 +inductance ال inductance هناالبرمجنة التي كونستانس + +100 +00:07:46,820 --> 00:07:50,580 +قال هي الـself-inductance أو ببساطة الـinductance + +101 +00:07:50,580 --> 00:07:56,040 +من الكويل لأي سلك أو ملف الأسئة unit of inductance + +102 +00:07:56,040 --> 00:08:00,480 +هو هنري مرت عليكم؟ هذي الهنري التي من الأقصى + +103 +00:08:00,480 --> 00:08:04,140 +الاسئلة هي equal to هايها ده ليش متساوي؟ هذي ايش + +104 +00:08:04,140 --> 00:08:10,560 +واحدتها؟ volt و هذي؟ second volt second على mb + +105 +00:08:10,560 --> 00:08:18,450 +مظبوط ولا ده؟ فسموها هنريوولد ثاند على أمبير تمى + +106 +00:08:18,450 --> 00:08:22,170 +بقول comparing the two equations انا مابديش يجيت + +107 +00:08:22,170 --> 00:08:28,330 +انا خلّينا نرجع اولا هنا هجت كل سيلك شباب له L زي + +108 +00:08:28,330 --> 00:08:34,350 +ما كل سيلك له R هده L وR وهده L وR هده سيلك ارقام + +109 +00:08:34,350 --> 00:08:37,270 +نظرية ناشر نعتبرها؟ Zero لكن ايه لها R ولا مالهاش؟ + +110 +00:08:37,270 --> 00:08:41,310 +هده اول ما شوفها فيه R ولا مافيهاش هجت هي سيلك وهد + +111 +00:08:41,310 --> 00:08:46,210 +سيلكهذه ال تبعت تأولي للسفير وهذه ال لها قيمة بس + +112 +00:08:46,210 --> 00:08:50,550 +لكن هدف ان هي مهوسلة ملفوف بس اول ما اشوف هذه بقول + +113 +00:08:50,550 --> 00:08:54,550 +ال لها قيمة معتبرة هذه لها ال لكن تقريبا سفر + +114 +00:08:54,550 --> 00:08:58,710 +فبيلاقوا ان هذه الشغلة الظاهرة مش موجودة الا اذا + +115 +00:08:58,710 --> 00:09:02,510 +كان في عندك ملف اما solenoid او toroid تفرجش + +116 +00:09:02,510 --> 00:09:09,480 +فظاهرة هذه بتظهرشإلا بوجود الملفات السلك العادى + +117 +00:09:09,480 --> 00:09:14,920 +موجودة لكن مهملة تقريبا قيمتها 0 موجودة بصورة كثير + +118 +00:09:14,920 --> 00:09:18,780 +ضعيفة زى لما أقول هذه R موجودة لكن صورتها ضعيفة + +119 +00:09:18,780 --> 00:09:22,200 +جدا وبالتالي بقربها لل zero نظريا فمن يوم ما أطلع + +120 +00:09:22,200 --> 00:09:27,260 +الإصافي عنده عنصر جديد ملف القيمة تبعته هي L إيش + +121 +00:09:27,260 --> 00:09:32,630 +وجوده بيسوي بيعود لفترة ماليه بيقعد عوض فترة مايا + +122 +00:09:32,630 --> 00:09:36,410 +بيقول لإن هو إذا ثبت طب إذا وين شغله لو كان التيار + +123 +00:09:36,410 --> 00:09:40,530 +متردد؟بيضلوا شغالة الملفة بيضلوا شغالة بيضلوا + +124 +00:09:40,530 --> 00:09:44,730 +شغالة لأنه التردد مستمر لكن في الطيارة المستمر + +125 +00:09:44,730 --> 00:09:47,710 +وكشف يشتغل لما ساكر وافتح لكن في الطيارة المتردد + +126 +00:09:47,710 --> 00:09:51,810 +ايش؟ ما هو دايما متردد وانت بتقوللي انا اشتغل لما + +127 +00:09:51,810 --> 00:09:54,890 +الطيارة تغير ما هو في الطيارة المتردد متغير على + +128 +00:09:54,890 --> 00:09:59,470 +طول اذا اهمية الملفات بتكون وين؟ في الدوار الطيارة + +129 +00:09:59,470 --> 00:10:03,770 +المتردد دايما شغالة دايما بتطلعلك مجال كهربائي + +130 +00:10:03,770 --> 00:10:06,470 +ومجار وطيارة مصطلحات وبالتالي بتكون اللي هي شغل + +131 +00:10:06,870 --> 00:10:09,970 +واضح طبعا مادخلناش بالطيارة المتردد الان في + +132 +00:10:09,970 --> 00:10:14,950 +الدائرة المستمرة شغلها فقط ساعة اغلاق وفتح الدائرة + +133 +00:10:14,950 --> 00:10:20,450 +فقط هذه النقطة بيصير في تغير غير كده مابصرش فيه اي + +134 +00:10:20,450 --> 00:10:25,030 +تغير تمام + +135 +00:10:25,030 --> 00:10:31,010 +الان حاطها طبعا الملف اللي احنا متفقين زي مكان C + +136 +00:10:37,920 --> 00:10:42,800 +A coil that has significant inductance is called + +137 +00:10:42,800 --> 00:10:43,380 +inductor + +138 +00:10:52,490 --> 00:10:57,250 +مكثف لو جيبت ترجمتها لحرفية هتصبح condenser صح ولا + +139 +00:10:57,250 --> 00:11:00,770 +لأ؟ capacitor اسم علمى مالوش ده اوى كلمة تكثيف + +140 +00:11:00,770 --> 00:11:04,190 +capacitor اجت من سعة capacitance فهو capacitor + +141 +00:11:04,190 --> 00:11:08,270 +resistance فهو resistor فهذا inductance فسموه + +142 +00:11:08,270 --> 00:11:13,450 +inductor فال inductor هو الجهاز العلمى اللى بيشتغل + +143 +00:11:13,450 --> 00:11:17,150 +اللي له inductanceاللي بيشتغل اللي بيسموه inductor + +144 +00:11:17,150 --> 00:11:21,510 +فهذا هو الاسم العلمي لل coil and is represented in + +145 +00:11:21,510 --> 00:11:24,850 +the circuit تعرفوا ال symbol تبعه سيلونويد مش + +146 +00:11:24,850 --> 00:11:28,190 +متفقين احنا سيلونويد فهي ال symbol تبعه من يوم ما + +147 +00:11:28,190 --> 00:11:31,690 +فلأول ما اشوف هذا بقول بده احط جنبها L زي اول ما + +148 +00:11:31,690 --> 00:11:34,510 +اجيب هنا ايش بحط جنبها R اول ما اجيب مكبسة عليش + +149 +00:11:34,510 --> 00:11:38,830 +بحط جنبها C اذا صار في عندي عنصر جديد في الدائرة + +150 +00:11:39,550 --> 00:11:45,510 +بطارية عنصر المقاومة عنصر الكباسيتر عنصر والملف + +151 +00:11:45,510 --> 00:11:49,930 +عنصر هاي أربع عناصر مروا عليها مافيش إشي طبعا + +152 +00:11:49,930 --> 00:11:55,530 +كيرتشوف ذاكرين كيرتشوف قاللي فروق الجهود وانت ماشي + +153 +00:11:55,530 --> 00:11:59,990 +في كل العناصر جمعهم سوية و مصفر فاق الجهود قاللي + +154 +00:11:59,990 --> 00:12:05,010 +فاق الجهود هاي فاق الجهود هجيبه من هناهذه فرق + +155 +00:12:05,010 --> 00:12:11,410 +الجهود الكبس تركبك جيبه و تلو V متساوي Q على C انا + +156 +00:12:11,410 --> 00:12:14,910 +مسموح ان اتكون ثابتة اذا كان ثابتا فهي فرق جهود + +157 +00:12:14,910 --> 00:12:22,830 +طيب لو كان التيار ثابت ايه الملف ايش بيشتغل؟سيليك + +158 +00:12:22,830 --> 00:12:25,950 +عادل بيبطليل الشغل سيليك عادل بيرجع هل هي السيليك + +159 +00:12:25,950 --> 00:12:29,810 +طويل ولا جسير بتفرج معاك انت ملفيته ولا عادلته + +160 +00:12:29,810 --> 00:12:33,970 +بتفرج معاك ولا لا إذا هذا الملف إذا الطيار ثابت + +161 +00:12:33,970 --> 00:12:37,910 +بيرجع سيليك short circuit ولا إله شغل ماروش شغل + +162 +00:12:37,910 --> 00:12:42,270 +بالمرة يجلسوا بيقولوا كده بيحسبوها ال coil و بيحط + +163 +00:12:42,270 --> 00:12:47,980 +قيمتها و بيرموها للسوق بكده يجيب small nن على L ثم + +164 +00:12:47,980 --> 00:12:50,840 +solution طبعا بقول knowing that inside the + +165 +00:12:50,840 --> 00:12:53,160 +solenoid B is uniform and is given by هذه ال + +166 +00:12:53,160 --> 00:12:57,280 +solenoid idea solenoid هي B mu not N في I هذه ال N + +167 +00:12:57,280 --> 00:13:00,660 +حطت capital N على L صحيح ولا لأ؟ وهذه I خلاص + +168 +00:13:00,660 --> 00:13:03,540 +حسيتها وأنا حسبتها بس نحسبها كمان مرة بقول الآن + +169 +00:13:03,540 --> 00:13:08,570 +five سوى B في A في cos صفرلأنه الذاكرين ان ال + +170 +00:13:08,570 --> 00:13:11,570 +solenoid طلعت بي اما لفوق او لتحت و هو واقف فيك + +171 +00:13:11,570 --> 00:13:15,530 +بتكون بي لا لفوق ولا لتحت بتعمل crossing لل area + +172 +00:13:15,530 --> 00:13:18,910 +اذا هي اما مع ال area او ضد ال area يعني اما زي 0 + +173 +00:13:18,910 --> 00:13:25,770 +او 180 فانا اعتبرتها 0 بي هيها و a هي مساحة مقطع + +174 +00:13:25,770 --> 00:13:31,930 +ال solenoid باي ار تر بيه قال لي احسب طلعت انا ان + +175 +00:13:31,930 --> 00:13:37,670 +علىالـ L طبعا جبت القانون فطولة على حسب تقعي بقعي + +176 +00:13:37,670 --> 00:13:43,910 +بالكتير فطلعت ال mu not ان تربيع A على L ال mu not + +177 +00:13:43,910 --> 00:13:48,110 +قيمتها معروفة ان عدد اللي لفها تربحها A عبارة عن + +178 +00:13:48,110 --> 00:13:53,630 +باي R تربيع و R نص قطر استرينويد و L طول استرينويد + +179 +00:13:53,630 --> 00:13:57,030 +اللي فيه تجيب جديش L لأي استرينويد من هذا القانون + +180 +00:13:57,030 --> 00:14:00,960 +طبعا بيناش نحفظههذا هيك بس مجرد ان كيف انا بدي + +181 +00:14:00,960 --> 00:14:06,760 +اجيب ال اى ملف طبعا هذا الاترويدال coil ممكن انا + +182 +00:14:06,760 --> 00:14:10,520 +اجيبها بس برضه مش معنى كتير فيها المهم انا اعرف ان + +183 +00:14:10,520 --> 00:14:17,180 +ال تعتمد فقط على الخواص الهنجسية لل coil مش اكتر + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..0ba1a29cb196aac438fad224a6609fa2b2699cb2 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo_raw.srt @@ -0,0 +1,732 @@ +1 +00:00:10,220 --> 00:00:14,560 +تمام نبدأ ال chapter العاشر بسم الله الرحمن الرحيم + +2 +00:00:14,560 --> 00:00:17,280 +وعنوانه ال inductance وهو تابع لل chapter اللي + +3 +00:00:17,280 --> 00:00:20,260 +جابله مباشرة في بعض الكتب بحطوهم في chapter واحد + +4 +00:00:20,260 --> 00:00:22,180 +ال inductance + +5 +00:00:24,300 --> 00:00:28,420 +المحافظة اللي كنتوا تسموها انتوا ال inductance ال + +6 +00:00:28,420 --> 00:00:33,020 +problems هدهم و نبدأ بالمعلومة اللي احنا اخدناها + +7 +00:00:33,020 --> 00:00:35,280 +هذه كلها problems كتيرة شوية + +8 +00:00:38,870 --> 00:00:45,210 +self-inductance بعد ما فرضاه طلع غاهرته صار فيه + +9 +00:00:45,210 --> 00:00:48,150 +بعض الملاحظات اللي ماكنتش مفسرة بدأت تتفسر شباب + +10 +00:00:48,150 --> 00:00:51,970 +ايش هي بيقول لي consider the circuit shown قللي + +11 +00:00:51,970 --> 00:00:55,910 +انت ايش هو الملف ماهو سلك ولا مش سلك الملف أبراعا + +12 +00:00:55,910 --> 00:00:59,790 +سلك وفيه دائرة خبيرة مش فيها سلك كلها فيه سلك كلها + +13 +00:00:59,790 --> 00:01:02,470 +كانت أبراعا كانت سلك بس هذا السلك هيك ألفوه عشان + +14 +00:01:02,470 --> 00:01:05,910 +يصير زي ملف قاللي انت في دائرتك ايش بيصير معاك مش + +15 +00:01:05,910 --> 00:01:09,380 +انت بتفتح المفتاح و بتسكر المفتاحطيب انت لما سكر + +16 +00:01:09,380 --> 00:01:12,500 +مفتاحك الطيار بصير فيه طيار افتح مفتاحك بروح + +17 +00:01:12,500 --> 00:01:15,820 +الطيار اذا ايش معناته انت عارف هناك زيادة و نقصان + +18 +00:01:15,820 --> 00:01:19,860 +انت لما سكر مفتاحك صار فيه طيار زادي الطيار افتح + +19 +00:01:19,860 --> 00:01:24,960 +مفتاحك ننجس الطيار طيب هذا الطيار عارف انه بولد + +20 +00:01:24,960 --> 00:01:29,020 +مجال مغناطيسي ولا لأ بولد مجال مغناطيسي يعني انا + +21 +00:01:29,020 --> 00:01:34,080 +لما سكر مفتاحي شباببصير فيه تيار بتولد مجال .. + +22 +00:01:34,080 --> 00:01:37,340 +اتولد مجال صار فيه flux على الدائرة هذه .. صار فيه + +23 +00:01:37,340 --> 00:01:40,020 +flux .. ال flux كان zero صار له قيمة زاد .. افتح + +24 +00:01:40,020 --> 00:01:43,180 +مفتاحك ال flux كان له قيمة صار zero نقص فرضيا + +25 +00:01:43,180 --> 00:01:46,080 +بيقول الزيادة و النقصان تغير .. اذا ممكن تتولد + +26 +00:01:46,080 --> 00:01:50,200 +عندك تيار مستحفالناس بيقول الطيارة المتحاصرة بيكون + +27 +00:01:50,200 --> 00:01:54,100 +عكس الاصلي بشرك اتفقنا ان هي واحدة واحدة بيقول + +28 +00:01:54,100 --> 00:01:55,720 +consider the circuit shown in the figure اللي + +29 +00:01:55,720 --> 00:01:58,240 +دائما في كل دواية كهربائية موجودة في دواية + +30 +00:01:58,240 --> 00:02:02,660 +كهربائية موجودة في اي جهاز وفي اي شغلة طبيعية وفي + +31 +00:02:02,660 --> 00:02:05,940 +الآخر انت بتفتح و بتسكر بتشغل و بتبطي ما هو شغل + +32 +00:02:05,940 --> 00:02:10,420 +يعني سكرت انت لما شغل اي جهاز يعني خلت الطيار يفوت + +33 +00:02:10,420 --> 00:02:15,020 +تفتت الجهاز يعني فتحت المفتاح هي معناه off و on + +34 +00:02:15,020 --> 00:02:17,460 +بيقول consider the circuit shown in the figure + +35 +00:02:18,930 --> 00:02:25,750 +عندما تغلق المفتاح، تغلق مفتاحك الهواتف والمجال + +36 +00:02:25,750 --> 00:02:30,250 +المغناطيسي يتردد من نصف إلى قيمة محددة. + +37 +00:02:46,690 --> 00:02:50,790 +موجود هذا المجال المغناطيسي هذا هو إجا من التيار + +38 +00:02:50,790 --> 00:02:55,210 +حسب القاعدة هذه طلع عندك مجال بهذا الشكل هذه مجال + +39 +00:02:55,210 --> 00:02:59,510 +تمام طبعا هذه المجالة اتولد طول ما فيه تيار + +40 +00:02:59,510 --> 00:03:04,570 +الزيادة كانت في رحلة ضامعة معينة تمام الآن بيقول + +41 +00:03:04,570 --> 00:03:08,830 +the increasing magnetic flux بيوصل from the induce + +42 +00:03:08,830 --> 00:03:13,480 +and infالتغير بس التغير وقتين صار شباب بس عند + +43 +00:03:13,480 --> 00:03:17,360 +الإغلاق بس عند الإغلاق بعد ما أقلق وصلنا عليه في + +44 +00:03:17,360 --> 00:03:20,820 +مجال المغناطيسي لكن ثبت بيكونش تغير مافيش induce + +45 +00:03:20,820 --> 00:03:26,000 +current إذا ال induce current بتولد لحظيا ساعة + +46 +00:03:26,000 --> 00:03:29,780 +مسكر لأنه في هذه اللحظة صار التغير بعد كده المجال + +47 +00:03:29,780 --> 00:03:33,580 +المغناطيسي ثبت مافيش تغير مافيش induce current إذا + +48 +00:03:33,580 --> 00:03:45,660 +هذه الشغله بيصير لحظة الإغلاقالتغيير في + +49 +00:03:45,660 --> 00:03:49,200 +الزيادة + +50 +00:03:49,200 --> 00:03:49,920 +في المعاكس + +51 +00:03:58,500 --> 00:04:02,520 +معاكس، إذا إيش معناته؟ لو هذا الطيار كان جد هدى، + +52 +00:04:02,520 --> 00:04:06,640 +إيش بيكون الطيار كله؟ سفر، بس هذا الطيار مع الأسف + +53 +00:04:06,640 --> 00:04:12,280 +أو مع حصن الحظ بطولش، بطولش، ليش؟ لأنه بعد ما سكر + +54 +00:04:12,280 --> 00:04:16,800 +هذا ثبت، مافيش تغير، هذا روح، إذا إيه هذا إيش + +55 +00:04:16,800 --> 00:04:19,220 +مهمته؟ بيقولوا هذا مهمته، بعوّجلي هذا شوية و بعدين + +56 +00:04:19,220 --> 00:04:26,110 +بروح، العقب بصمدش كتيريعني عندما يغطي الطيار هذا + +57 +00:04:26,110 --> 00:04:29,850 +لا يصبح قيمته مرة واحدة في حد يعوج قليلا فبصر + +58 +00:04:29,850 --> 00:04:33,910 +قيمته تدريجيا لما اللي يعوج يروح بصر قيمته العظمة + +59 +00:04:33,910 --> 00:04:39,450 +اذا مهمة ال induction إعاقة وصول الطيار إلى قيمته + +60 +00:04:39,450 --> 00:04:45,170 +العظمة للحظات ما للحظات ما هذا هم الطيارين هذا + +61 +00:04:45,170 --> 00:04:51,000 +العكس بعد بيعيق هذا كالطيار ال endعمره قصير .. + +62 +00:04:51,000 --> 00:04:54,620 +عمره قصير .. بروح على طول .. بروح بعد ثبات التيار + +63 +00:04:54,620 --> 00:04:57,700 +.. بعد ثبات المجال المغناطيسي .. بعد ثبات ال flux + +64 +00:04:57,700 --> 00:05:02,420 +.. تمام .. الآن إيش بقوللي .. the effect of this + +65 +00:05:02,420 --> 00:05:07,260 +induced emf is to retard .. إعاقت .. is to retard + +66 +00:05:07,260 --> 00:05:11,200 +.. the change of the original current .. that is + +67 +00:05:11,200 --> 00:05:15,220 +retard its increasing .. بعيق زيادة .. هو رايح + +68 +00:05:15,220 --> 00:05:20,670 +للزيادة بأي قطوية .. تمام ..النفس الفنومينا نفس + +69 +00:05:20,670 --> 00:05:25,750 +المراحظة او الظاهرة حدثت عند فتح المفتاح طبعا في + +70 +00:05:25,750 --> 00:05:48,630 +نقصان في تغير برضه + +71 +00:05:48,740 --> 00:05:55,460 +بعود بروح للسفر غصب عنه لإن المعيق بروح و بموتكان + +72 +00:05:55,460 --> 00:05:58,580 +ليه؟ هاد كله جاية من نفس الدائرة، مافيش دائرة + +73 +00:05:58,580 --> 00:06:02,020 +تانية، Silk بيأثر على حاله، this phenomena is + +74 +00:06:02,020 --> 00:06:03,980 +called self-induction، عشان كده بيسموها self + +75 +00:06:03,980 --> 00:06:08,320 +-induction، دائرة بتأثر على حالها، تقيق نفسها، + +76 +00:06:08,320 --> 00:06:12,340 +since the changing flux through the circuit arises + +77 +00:06:12,340 --> 00:06:15,940 +from the circuit itself، نفس الcircuit، the inf + +78 +00:06:15,940 --> 00:06:19,540 +induced due to this phenomena is called the self + +79 +00:06:19,540 --> 00:06:22,620 +-induced inf، لما زال دائرة واحدة، بيسموها self + +80 +00:06:22,620 --> 00:06:26,410 +-inductanceإذا كان الـ MF اندوز في مدارس بسبب + +81 +00:06:26,410 --> 00:06:31,490 +تغيير مجلد المجلد المجلدي مجلد مجلد مجلد مجلد مجلد + +82 +00:06:31,490 --> 00:06:31,510 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +83 +00:06:31,510 --> 00:06:32,150 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +84 +00:06:32,150 --> 00:06:32,590 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +85 +00:06:32,590 --> 00:06:35,090 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +86 +00:06:35,090 --> 00:06:36,770 +مجلد مجلد + +87 +00:06:49,180 --> 00:06:52,180 +إذا كانت عنف أدوة في حركة بسبب تغيير الهواء + +88 +00:06:52,180 --> 00:06:57,400 +المغناطيكي يجلس على حركة أخرى لدينا الاندوكتانيين + +89 +00:06:57,400 --> 00:07:01,020 +المتعاملين تمام لكي نحصل على .. هجيش بقولي هذا + +90 +00:07:01,020 --> 00:07:04,740 +المتعاملين الأجلها بدي الآن أجيب قانون إليه الـ + +91 +00:07:04,740 --> 00:07:09,460 +self inductance لكي نحصل على تسمية عملية من + +92 +00:07:09,460 --> 00:07:13,720 +الاندوكتانيين نعرفه من فردايزلو ارجع لقول قوانينك + +93 +00:07:13,720 --> 00:07:17,730 +الأولية بقولي فردايزلو إيش بقولك؟بقول لكن فا تتنسب + +94 +00:07:17,730 --> 00:07:24,450 +مع بي و بي بتتنسب مع اي اذا المعناته هذي سالب دي + +95 +00:07:24,450 --> 00:07:28,750 +فا على دي و حافظ ثابت هذا ثابت بيبقى كل حاجة ال بل + +96 +00:07:28,750 --> 00:07:32,630 +هذا ثابت بيعتمد على ال silic نفسه على ال silic + +97 +00:07:32,630 --> 00:07:39,330 +نفسه ال ثابت بيعتمد على ال silic نفسه سموه المحثة + +98 +00:07:39,330 --> 00:07:42,470 +حاجة اللي بيسموها المحثة في العربي اللي بيسميها ال + +99 +00:07:42,470 --> 00:07:46,820 +inductance ال inductance هناالبرمجنة التي كونستانس + +100 +00:07:46,820 --> 00:07:50,580 +قال هي الـself-inductance أو ببساطة الـinductance + +101 +00:07:50,580 --> 00:07:56,040 +من الكويل لأي سلك أو ملف الأسئة unit of inductance + +102 +00:07:56,040 --> 00:08:00,480 +هو هنري مرت عليكم؟ هذي الهنري التي من الأقصى + +103 +00:08:00,480 --> 00:08:04,140 +الاسئلة هي equal to هايها ده ليش متساوي؟ هذي ايش + +104 +00:08:04,140 --> 00:08:10,560 +واحدتها؟ volt و هذي؟ second volt second على mb + +105 +00:08:10,560 --> 00:08:18,450 +مظبوط ولا ده؟ فسموها هنريوولد ثاند على أمبير تمى + +106 +00:08:18,450 --> 00:08:22,170 +بقول comparing the two equations انا مابديش يجيت + +107 +00:08:22,170 --> 00:08:28,330 +انا خلّينا نرجع اولا هنا هجت كل سيلك شباب له L زي + +108 +00:08:28,330 --> 00:08:34,350 +ما كل سيلك له R هده L وR وهده L وR هده سيلك ارقام + +109 +00:08:34,350 --> 00:08:37,270 +نظرية ناشر نعتبرها؟ Zero لكن ايه لها R ولا مالهاش؟ + +110 +00:08:37,270 --> 00:08:41,310 +هده اول ما شوفها فيه R ولا مافيهاش هجت هي سيلك وهد + +111 +00:08:41,310 --> 00:08:46,210 +سيلكهذه ال تبعت تأولي للسفير وهذه ال لها قيمة بس + +112 +00:08:46,210 --> 00:08:50,550 +لكن هدف ان هي مهوسلة ملفوف بس اول ما اشوف هذه بقول + +113 +00:08:50,550 --> 00:08:54,550 +ال لها قيمة معتبرة هذه لها ال لكن تقريبا سفر + +114 +00:08:54,550 --> 00:08:58,710 +فبيلاقوا ان هذه الشغلة الظاهرة مش موجودة الا اذا + +115 +00:08:58,710 --> 00:09:02,510 +كان في عندك ملف اما solenoid او toroid تفرجش + +116 +00:09:02,510 --> 00:09:09,480 +فظاهرة هذه بتظهرشإلا بوجود الملفات السلك العادى + +117 +00:09:09,480 --> 00:09:14,920 +موجودة لكن مهملة تقريبا قيمتها 0 موجودة بصورة كثير + +118 +00:09:14,920 --> 00:09:18,780 +ضعيفة زى لما أقول هذه R موجودة لكن صورتها ضعيفة + +119 +00:09:18,780 --> 00:09:22,200 +جدا وبالتالي بقربها لل zero نظريا فمن يوم ما أطلع + +120 +00:09:22,200 --> 00:09:27,260 +الإصافي عنده عنصر جديد ملف القيمة تبعته هي L إيش + +121 +00:09:27,260 --> 00:09:32,630 +وجوده بيسوي بيعود لفترة ماليه بيقعد عوض فترة مايا + +122 +00:09:32,630 --> 00:09:36,410 +بيقول لإن هو إذا ثبت طب إذا وين شغله لو كان التيار + +123 +00:09:36,410 --> 00:09:40,530 +متردد؟بيضلوا شغالة الملفة بيضلوا شغالة بيضلوا + +124 +00:09:40,530 --> 00:09:44,730 +شغالة لأنه التردد مستمر لكن في الطيارة المستمر + +125 +00:09:44,730 --> 00:09:47,710 +وكشف يشتغل لما ساكر وافتح لكن في الطيارة المتردد + +126 +00:09:47,710 --> 00:09:51,810 +ايش؟ ما هو دايما متردد وانت بتقوللي انا اشتغل لما + +127 +00:09:51,810 --> 00:09:54,890 +الطيارة تغير ما هو في الطيارة المتردد متغير على + +128 +00:09:54,890 --> 00:09:59,470 +طول اذا اهمية الملفات بتكون وين؟ في الدوار الطيارة + +129 +00:09:59,470 --> 00:10:03,770 +المتردد دايما شغالة دايما بتطلعلك مجال كهربائي + +130 +00:10:03,770 --> 00:10:06,470 +ومجار وطيارة مصطلحات وبالتالي بتكون اللي هي شغل + +131 +00:10:06,870 --> 00:10:09,970 +واضح طبعا مادخلناش بالطيارة المتردد الان في + +132 +00:10:09,970 --> 00:10:14,950 +الدائرة المستمرة شغلها فقط ساعة اغلاق وفتح الدائرة + +133 +00:10:14,950 --> 00:10:20,450 +فقط هذه النقطة بيصير في تغير غير كده مابصرش فيه اي + +134 +00:10:20,450 --> 00:10:25,030 +تغير تمام + +135 +00:10:25,030 --> 00:10:31,010 +الان حاطها طبعا الملف اللي احنا متفقين زي مكان C + +136 +00:10:37,920 --> 00:10:42,800 +A coil that has significant inductance is called + +137 +00:10:42,800 --> 00:10:43,380 +inductor + +138 +00:10:52,490 --> 00:10:57,250 +مكثف لو جيبت ترجمتها لحرفية هتصبح condenser صح ولا + +139 +00:10:57,250 --> 00:11:00,770 +لأ؟ capacitor اسم علمى مالوش ده اوى كلمة تكثيف + +140 +00:11:00,770 --> 00:11:04,190 +capacitor اجت من سعة capacitance فهو capacitor + +141 +00:11:04,190 --> 00:11:08,270 +resistance فهو resistor فهذا inductance فسموه + +142 +00:11:08,270 --> 00:11:13,450 +inductor فال inductor هو الجهاز العلمى اللى بيشتغل + +143 +00:11:13,450 --> 00:11:17,150 +اللي له inductanceاللي بيشتغل اللي بيسموه inductor + +144 +00:11:17,150 --> 00:11:21,510 +فهذا هو الاسم العلمي لل coil and is represented in + +145 +00:11:21,510 --> 00:11:24,850 +the circuit تعرفوا ال symbol تبعه سيلونويد مش + +146 +00:11:24,850 --> 00:11:28,190 +متفقين احنا سيلونويد فهي ال symbol تبعه من يوم ما + +147 +00:11:28,190 --> 00:11:31,690 +فلأول ما اشوف هذا بقول بده احط جنبها L زي اول ما + +148 +00:11:31,690 --> 00:11:34,510 +اجيب هنا ايش بحط جنبها R اول ما اجيب مكبسة عليش + +149 +00:11:34,510 --> 00:11:38,830 +بحط جنبها C اذا صار في عندي عنصر جديد في الدائرة + +150 +00:11:39,550 --> 00:11:45,510 +بطارية عنصر المقاومة عنصر الكباسيتر عنصر والملف + +151 +00:11:45,510 --> 00:11:49,930 +عنصر هاي أربع عناصر مروا عليها مافيش إشي طبعا + +152 +00:11:49,930 --> 00:11:55,530 +كيرتشوف ذاكرين كيرتشوف قاللي فروق الجهود وانت ماشي + +153 +00:11:55,530 --> 00:11:59,990 +في كل العناصر جمعهم سوية و مصفر فاق الجهود قاللي + +154 +00:11:59,990 --> 00:12:05,010 +فاق الجهود هاي فاق الجهود هجيبه من هناهذه فرق + +155 +00:12:05,010 --> 00:12:11,410 +الجهود الكبس تركبك جيبه و تلو V متساوي Q على C انا + +156 +00:12:11,410 --> 00:12:14,910 +مسموح ان اتكون ثابتة اذا كان ثابتا فهي فرق جهود + +157 +00:12:14,910 --> 00:12:22,830 +طيب لو كان التيار ثابت ايه الملف ايش بيشتغل؟سيليك + +158 +00:12:22,830 --> 00:12:25,950 +عادل بيبطليل الشغل سيليك عادل بيرجع هل هي السيليك + +159 +00:12:25,950 --> 00:12:29,810 +طويل ولا جسير بتفرج معاك انت ملفيته ولا عادلته + +160 +00:12:29,810 --> 00:12:33,970 +بتفرج معاك ولا لا إذا هذا الملف إذا الطيار ثابت + +161 +00:12:33,970 --> 00:12:37,910 +بيرجع سيليك short circuit ولا إله شغل ماروش شغل + +162 +00:12:37,910 --> 00:12:42,270 +بالمرة يجلسوا بيقولوا كده بيحسبوها ال coil و بيحط + +163 +00:12:42,270 --> 00:12:47,980 +قيمتها و بيرموها للسوق بكده يجيب small nن على L ثم + +164 +00:12:47,980 --> 00:12:50,840 +solution طبعا بقول knowing that inside the + +165 +00:12:50,840 --> 00:12:53,160 +solenoid B is uniform and is given by هذه ال + +166 +00:12:53,160 --> 00:12:57,280 +solenoid idea solenoid هي B mu not N في I هذه ال N + +167 +00:12:57,280 --> 00:13:00,660 +حطت capital N على L صحيح ولا لأ؟ وهذه I خلاص + +168 +00:13:00,660 --> 00:13:03,540 +حسيتها وأنا حسبتها بس نحسبها كمان مرة بقول الآن + +169 +00:13:03,540 --> 00:13:08,570 +five سوى B في A في cos صفرلأنه الذاكرين ان ال + +170 +00:13:08,570 --> 00:13:11,570 +solenoid طلعت بي اما لفوق او لتحت و هو واقف فيك + +171 +00:13:11,570 --> 00:13:15,530 +بتكون بي لا لفوق ولا لتحت بتعمل crossing لل area + +172 +00:13:15,530 --> 00:13:18,910 +اذا هي اما مع ال area او ضد ال area يعني اما زي 0 + +173 +00:13:18,910 --> 00:13:25,770 +او 180 فانا اعتبرتها 0 بي هيها و a هي مساحة مقطع + +174 +00:13:25,770 --> 00:13:31,930 +ال solenoid باي ار تر بيه قال لي احسب طلعت انا ان + +175 +00:13:31,930 --> 00:13:37,670 +علىالـ L طبعا جبت القانون فطولة على حسب تقعي بقعي + +176 +00:13:37,670 --> 00:13:43,910 +بالكتير فطلعت ال mu not ان تربيع A على L ال mu not + +177 +00:13:43,910 --> 00:13:48,110 +قيمتها معروفة ان عدد اللي لفها تربحها A عبارة عن + +178 +00:13:48,110 --> 00:13:53,630 +باي R تربيع و R نص قطر استرينويد و L طول استرينويد + +179 +00:13:53,630 --> 00:13:57,030 +اللي فيه تجيب جديش L لأي استرينويد من هذا القانون + +180 +00:13:57,030 --> 00:14:00,960 +طبعا بيناش نحفظههذا هيك بس مجرد ان كيف انا بدي + +181 +00:14:00,960 --> 00:14:06,760 +اجيب ال اى ملف طبعا هذا الاترويدال coil ممكن انا + +182 +00:14:06,760 --> 00:14:10,520 +اجيبها بس برضه مش معنى كتير فيها المهم انا اعرف ان + +183 +00:14:10,520 --> 00:14:17,180 +ال تعتمد فقط على الخواص الهنجسية لل coil مش اكتر + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE.srt new file mode 100644 index 0000000000000000000000000000000000000000..53dae86a395b4c303edd25cd58104fc6281933c1 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE.srt @@ -0,0 +1,603 @@ +1 +00:00:09,940 --> 00:00:13,920 +بعد بسم الله الرحمن الرحيم نسيت في الجزء البسيط + +2 +00:00:13,920 --> 00:00:18,340 +اللي ضل من الشرح آخر حاجة شرحناها هي M pairs + +3 +00:00:18,340 --> 00:00:24,200 +واتفقنا أن M pairs بطبيعة القانون لا ينطبق إلا على + +4 +00:00:24,200 --> 00:00:29,200 +ثلاث حالات الأسلاك الطويلة جدا لتُعمل symmetry + +5 +00:00:30,040 --> 00:00:34,360 +السولينويد والعادية للسولينويد فقط والتوريد + +6 +00:00:34,360 --> 00:00:39,280 +بطبيعته برضه ممكن نطبق عليه قانون amperes + +7 +00:00:39,280 --> 00:00:46,540 +وبالتالي بناخد closed loop ثم بي بتكون ثابتة عليها + +8 +00:00:46,540 --> 00:00:51,440 +أو التكامل كله zero بفعل الزاوية بنجيب I enclosed + +9 +00:00:51,440 --> 00:00:55,700 +و I enclosed اتفقنا هو التيار اللي بيخترق المساحة + +10 +00:00:55,700 --> 00:01:00,520 +اللي حددتها اللوب المغلقة آخر حاجة برضه عرضنا + +11 +00:01:00,520 --> 00:01:04,080 +عليها هي الـ magnetic flux والـ magnetic flux كمصطلح + +12 +00:01:04,080 --> 00:01:07,520 +بيشبه إلى حد كبير الـ electric flux الـ electric + +13 +00:01:07,520 --> 00:01:13,290 +flux عشان نحسبه لابد من تحديد سطح وبالتالي الـ + +14 +00:01:13,290 --> 00:01:17,250 +magnetic flux through a surface is defined as فاي + +15 +00:01:17,250 --> 00:01:21,010 +بي أو فاي ام، بنعتمد عشان عندنا two فاي صاروا، + +16 +00:01:21,010 --> 00:01:24,710 +بنميز بين الـ electric flux والـ magnetic flux، أما بحط + +17 +00:01:24,710 --> 00:01:29,290 +فاي اي وفاي ام أو فاي اي وفاي ب، وبنضربها في + +18 +00:01:29,290 --> 00:01:33,170 +الـ DA وبنتفق إذا كانت بي ثابتة بتطلع برا من + +19 +00:01:33,170 --> 00:01:36,430 +الثابتة بتخليها جوا، تمام؟ إذا من الثابتة هي + +20 +00:01:36,430 --> 00:01:39,870 +قانوني العام بصورة جميلة برا طلعتها برا في حالي + +21 +00:01:39,870 --> 00:01:43,950 +ثابتة، بتصير تكامل الـ DAA وبتصير بي دوط الـ A، + +22 +00:01:43,950 --> 00:01:47,470 +وهذا بنطلع المجلة TFLUX الوحدة عرفنا أنها Tesla + +23 +00:01:47,470 --> 00:01:54,780 +متر مربع .. متر square R V bar تمام والفرق ما بين + +24 +00:01:54,780 --> 00:01:58,400 +الـ magnetic flux والـ electric flux أنه للكلوز + +25 +00:01:58,400 --> 00:02:02,900 +surface شباب الـ electric flux ممكن يكون zero وممكن + +26 +00:02:02,900 --> 00:02:06,640 +يكون مش zero الـ electric flux لأنه بيساوي qn + +27 +00:02:06,640 --> 00:02:10,700 +على اي نوت و qn ممكن يكون لها قيمة لأنه في إمكانية + +28 +00:02:10,700 --> 00:02:13,940 +يكون في عندي net charge أن الشحنات الموجبة تكون + +29 +00:02:13,940 --> 00:02:17,220 +أكثر من الشحنات السالبة أو العكس في الحياة + +30 +00:02:17,220 --> 00:02:21,140 +المغناطيسية مش مجال يكون الأقطاب الشمالية أكثر من + +31 +00:02:21,140 --> 00:02:24,680 +الأقطاب الجنوبية أو العكس وبنقول since no monopole + +32 +00:02:24,680 --> 00:02:28,360 +can be isolated in nature we can conclude that إن + +33 +00:02:28,360 --> 00:02:33,160 +الـ 5B لما يكون فيه إغلاق في التكامل النتيجة تلقائيًا + +34 +00:02:33,160 --> 00:02:37,620 +Zero على طول الإغلاق يعني سطح مغلق بيكون على طول و + +35 +00:02:37,620 --> 00:02:41,000 +التكامل that is the magnetic flux through any + +36 +00:02:41,000 --> 00:02:43,920 +closed surface is always zero لأن هذه عبارة عن + +37 +00:02:43,920 --> 00:02:48,540 +ورقة والورقة جزء من متوازن مستطيلات فجزء من + +38 +00:02:48,540 --> 00:02:53,000 +المساحة المغلقة فهي مساحة مفتوحة بقول لي أحسبها تم + +39 +00:02:53,000 --> 00:02:59,350 +كيف بقول هي قانوني زي ما حكيت اسمكم طويل جانيها دي + +40 +00:02:59,350 --> 00:03:03,330 +بي من وين جاية؟ جاية من السلك الطويل والسلك الطويل + +41 +00:03:03,330 --> 00:03:07,870 +حلته بقانون بيوت سافارت من أمبير وجبت نتيجته + +42 +00:03:07,870 --> 00:03:12,370 +نتيجته طبعًا الآن أنا بدي أشرحها في امتحان ما بكون + +43 +00:03:12,370 --> 00:03:15,990 +أعطيها إليك يعني مش مفروض منك تحفظها بيها دي هي + +44 +00:03:15,990 --> 00:03:20,350 +with v is the magnetic field created by the wire و + +45 +00:03:20,350 --> 00:03:24,370 +given by هي قانونها أيها طلعتها إليك ميو نوت اي + +46 +00:03:24,370 --> 00:03:28,290 +على 2 بي ار جاني تطلع عليها هل بتقدر B تطلعها برا؟ + +47 +00:03:28,290 --> 00:03:33,310 +لا ليش؟ لأنها تعتمد على R يا شباب إيش يعني R؟ يعني + +48 +00:03:33,310 --> 00:03:36,770 +هنا غير عن هنا غير عن هنا إذا معناته بي في المنطقة + +49 +00:03:36,770 --> 00:03:42,030 +الصفرية ثابتة تختلف من نقطة لنقطة ما زال بي is not + +50 +00:03:42,030 --> 00:03:45,730 +uniform بتقدرش تطلعها إذا معناته هذا بدك تكامل معه + +51 +00:03:45,730 --> 00:03:51,340 +التكامل بدك تكامل عشان تكامل بدك دي ايه؟ بدك دي + +52 +00:03:51,340 --> 00:03:57,040 +ايه دي increment جزء من الـ area فبيدي جزء من الـ + +53 +00:03:57,040 --> 00:04:01,520 +area زي ما المراة إني حكيت قلت هو الـ default أن + +54 +00:04:01,520 --> 00:04:08,100 +الجزء هو هاي الجزء وأقول هنا دي x وهنا دي y هي الـ + +55 +00:04:08,100 --> 00:04:13,460 +default لكن dx dy بيعمل لي مشكلة في التكامل بيعطيني + +56 +00:04:13,460 --> 00:04:16,560 +double integration أنا بغنى عنه لأن ممكن أنا أسهل + +57 +00:04:16,560 --> 00:04:22,480 +بقول طيب هفشلها العنصر أنا ممكن أعتبرهم عصي زي هيك + +58 +00:04:22,480 --> 00:04:25,220 +أه هذا الـ magnetic field اتجاهك طب أقول لكم أنا + +59 +00:04:25,220 --> 00:04:29,040 +عرفت المجال المغناطيسي الاتجاه واضح لأن العنصر هذا + +60 +00:04:29,040 --> 00:04:34,620 +ما ظبطش معايا عشان مشكلة الرياضيات اللي فيه وبالتالي + +61 +00:04:34,620 --> 00:04:38,560 +بقول if the magnetic field is not constant over + +62 +00:04:38,560 --> 00:04:42,760 +the surface of the loop عشان R هادي we have to + +63 +00:04:42,760 --> 00:04:46,020 +divide the surface into small elements each of + +64 +00:04:46,020 --> 00:04:51,170 +area dA بيساوي بيه dR واخد نهاية عنصر إحنا متفقين + +65 +00:04:51,170 --> 00:04:55,830 +ممكن تكون الخط أفقي عنصر لكن بنفعنيه لإن لو كان + +66 +00:04:55,830 --> 00:04:59,250 +أفقي الشباب بيكون بيهم ثابتة عليه تمام؟ طبعًا إحنا + +67 +00:04:59,250 --> 00:05:02,970 +مرة في امتحان جبت أنا قلت بديش أعمل نفس المثال + +68 +00:05:02,970 --> 00:05:07,350 +تقريبًا بس قلت خل السلك الأخضر يكون هيك وخل اللوب + +69 +00:05:07,350 --> 00:05:13,190 +تكون هيك هجت كيف بيكون؟ طبعًا اللي مش مصحصح بيقول لك + +70 +00:05:13,190 --> 00:05:16,150 +والله في المثال أخذه عمودي يلا أخذه عمودي وبدأ + +71 +00:05:16,150 --> 00:05:24,870 +يشتغل بضيع طبعًا زي ما أنتم شايفين عرضه dR طوله B + +72 +00:05:24,870 --> 00:05:32,470 +وبالتالي بصير dA إن عرفت هذه المسافة طبعًا هي R لما + +73 +00:05:32,470 --> 00:05:37,950 +أجي أشتغل بتصير P بيساوي Mu not I على 2 بي دي اي على + +74 +00:05:37,950 --> 00:05:42,850 +R دي اي اتفقنا هي بيساوي P دي R طبعًا الـ P constant + +75 +00:05:42,850 --> 00:05:46,970 +taken out from the integral بيظل عندي تكامل من دي + +76 +00:05:46,970 --> 00:05:52,190 +R ل R تكامل دي R على R إيش بتساوي؟ لن الـ R المشكلة + +77 +00:05:52,190 --> 00:05:55,230 +في الحدود طبعًا أنا المتغير تبعي R هي ومرسوم من + +78 +00:05:55,230 --> 00:06:02,560 +هنا R لما أجي أطلع الشيء الـ إيزاء هيعناصرها دي هي + +79 +00:06:02,560 --> 00:06:07,300 +بتبدأ من هنا لهنا وهي بصير .. إذا معناته من C لـ C + +80 +00:06:07,300 --> 00:06:19,360 +زائد A فبتكون من C لـ C plus .. أحكي صح + +81 +00:06:19,360 --> 00:06:21,200 +هذا الـ flux أنا قاعد أبحث عنه + +82 +00:06:27,450 --> 00:06:31,150 +بنقلنا وبنسوي بهذا المخدر وزي ما حكينا مجرد مثال + +83 +00:06:31,150 --> 00:06:34,470 +يعلمنا كيف نحسب الـ flux وكيف لما نكون b is not + +84 +00:06:34,470 --> 00:06:39,450 +uniform we have to find dA which is an increment + +85 +00:06:39,450 --> 00:06:44,210 +of the area تمام حللنا سؤال عشان الـ direction + +86 +00:06:44,210 --> 00:06:48,950 +يكون واضح فيه كثير أسئلة بهذا الشكل بيقول في هذه + +87 +00:06:48,950 --> 00:06:50,970 +الأسلاك + +88 +00:06:52,310 --> 00:06:56,070 +هذه عبارة عن أربع أسلاك شباب أربع أسلاك محطوطين + +89 +00:06:56,070 --> 00:07:00,130 +على رأس مربع هذه السلك تياره هيك وهذه السلك تياره + +90 +00:07:00,130 --> 00:07:04,230 +هيك هذه السلك تياره هيك وهذه السلك تياره هيك بيقول + +91 +00:07:04,230 --> 00:07:08,650 +لي four long برر الـ conductors carry equal + +92 +00:07:08,650 --> 00:07:13,110 +currents of I equal five ampere الاتصال الحالي هو + +93 +00:07:13,110 --> 00:07:18,730 +إلى الـ Page في المقاطع A وB وخارج + +94 +00:07:18,730 --> 00:07:24,070 +الـ Page في الـ C وD تخطيط المقاطع الوضعية في + +95 +00:07:24,070 --> 00:07:28,950 +المقاطع P located at the center of the square of + +96 +00:07:28,950 --> 00:07:35,970 +edge length 0.2 meter طول ضلع المربع معروف بالتالي + +97 +00:07:35,970 --> 00:07:40,650 +أنا بقول هدول كلهم أطوال الأسلاك طول الـ circuit + +98 +00:07:40,650 --> 00:07:47,770 +طويل B تبعته بيساوي Mu0 I على 2 ب R هي قانون يعطى + +99 +00:07:47,770 --> 00:07:52,210 +إليك طب إيش ضايل هد السؤال direction هذا سؤال + +100 +00:07:52,210 --> 00:07:56,290 +الـ direction الـ CR المسافة بين التيار والسلك + +101 +00:07:56,290 --> 00:08:01,030 +والمسافة بين كل التيارات والسلك هذه هي نصف القطر + +102 +00:08:01,030 --> 00:08:04,870 +القطر تبع المربع عبارة عن هذه التلبيع فهذه تلبيع + +103 +00:08:04,870 --> 00:08:10,150 +تحت الجزر بجيبه مظبوط ولا نصه فهذه المسافة 0.2 + +104 +00:08:10,150 --> 00:08:15,090 +كلها بصير 0.1 في جذر التلبيع 2 إذا المسافة R + +105 +00:08:15,090 --> 00:08:18,560 +أنا عرفتها بقي بدي اجيب الـ direction طبعًا الـ + +106 +00:08:18,560 --> 00:08:23,080 +direction بعتمد على اتجاه التيارات قاعدة اليد اليمنى + +107 +00:08:23,080 --> 00:08:26,160 +أنا جبت المثال هذا عشان نتدرب صح ونقول + +108 +00:08:26,160 --> 00:08:30,700 +نيجي عند ايه هيك هجي كام دولوف بقول له بدي يلوف بحيث + +109 +00:08:30,700 --> 00:08:36,690 +يعمل لنا مماس نصف القطر شباب هاي نصف القطر طبعًا + +110 +00:08:36,690 --> 00:08:41,450 +المعلومة اللي موجودة عندنا من زمان أن قطرين مربع + +111 +00:08:41,450 --> 00:08:46,490 +متعامدين صح ولا لأ يعني هذه الزاوية 90 إذا هذا + +112 +00:08:46,490 --> 00:08:50,970 +كان نصف قطر إذا هي مماسه مظبوط ولا لأ بيظبط مماسه + +113 +00:08:50,970 --> 00:08:54,870 +يروح هيك ولا هيك بيقول أشغل عيدك اليوم إذا هيك + +114 +00:08:54,870 --> 00:09:00,410 +تمام نفس النتيجة هذا هذا نصف قطر إذا هي مماسه هيك + +115 +00:09:00,410 --> 00:09:06,370 +ولا هيك هيك أنا حاولت أعملها كمان مرة هذا هيك + +116 +00:09:06,370 --> 00:09:10,550 +يسقطره مماسه هذا الخط ايه بده يكون؟ بده يكون هيك + +117 +00:09:10,550 --> 00:09:16,390 +فطبعًا إحنا عشان أنا أشتغلها بقول التالي بدي أعمل + +118 +00:09:16,390 --> 00:09:20,750 +دوائر هاي أول واحد بعمل دائرة هاي مجال مغناطيسي + +119 +00:09:20,750 --> 00:09:23,850 +شباب هاي المجال المغناطيسي الدائرة هذه هجت + +120 +00:09:23,850 --> 00:09:28,190 +clockwise ولا counter clockwise؟ Clockwise + +121 +00:09:28,190 --> 00:09:31,950 +Clockwise وبدي مماس هي نصف القطر مماس Clockwise + +122 +00:09:31,950 --> 00:09:38,110 +إذا هيك إذا هذا هي مظبوط هيك ولا لأ هذه بي تبع + +123 +00:09:38,110 --> 00:09:43,310 +السلك ايه تمام الثانية هي دورتي هذه الدائرة تشكل + +124 +00:09:43,310 --> 00:09:47,830 +خطوط المجال المغناطيسي بدي عند نقطة بي Clockwise ولا + +125 +00:09:47,830 --> 00:09:50,070 +counter clockwise برضه Clockwise ما زال + +126 +00:09:50,070 --> 00:09:54,050 +Clockwise إذا بدي يكون هيك صحيح ولا لأ وهذا هي بي + +127 +00:09:54,050 --> 00:09:59,170 +بي تمام نجي لهذا C هجت ايه؟ Clock ولا quarter؟ + +128 +00:09:59,170 --> 00:10:02,830 +quarter ولما يكون quarter معناته بيكون نفس هذا + +129 +00:10:02,830 --> 00:10:08,770 +الاتجاه صح ولا لأ؟ إذن هذا هو هذا هو بي سي تمام + +130 +00:10:08,770 --> 00:10:12,350 +نجي لآخر واحد ارسم دورتك طبعًا الدورة برسمها السلك + +131 +00:10:12,350 --> 00:10:16,690 +مركزها مظبوط ولا لأ السلك مركزها والنقطة بتكون + +132 +00:10:16,690 --> 00:10:20,430 +على المحيط هيك بس برسم الدورة تمام الكام مرة + +133 +00:10:20,430 --> 00:10:27,020 +quarter Clockwise وعشان يكون مماس بيكون هيك خلاص + +134 +00:10:27,020 --> 00:10:32,920 +بقدر أجمع B وC مع بعض صح ولا لا وبجمع A وD مع بعض + +135 +00:10:32,920 --> 00:10:38,530 +ولا لا بقول P للواحد بيساوي Min of I على 2 ب R شرحتني + +136 +00:10:38,530 --> 00:10:43,730 +أيها R عرفتها طلعتها 7.1 micro tesla على اعتبار + +137 +00:10:43,730 --> 00:10:47,670 +التيار شباب معطيني وكل شيء معطيني هذه P لواحد طب + +138 +00:10:47,670 --> 00:10:51,650 +هذه وهذه بدربهم في 2 مظبوط ولا لأ بقدر أجمعهم + +139 +00:10:51,650 --> 00:10:56,530 +من نفس الاتجاه بقول ايه ودي ايه ودي بتساوي رابط هذه + +140 +00:10:56,530 --> 00:11:01,700 +في 2 طيب بيوصي برضه نفس العملية هجت كلهم + +141 +00:11:01,700 --> 00:11:05,560 +بقدر أجمعهم لأ متعامدين طبعًا هنا متعامدين بقالوا + +142 +00:11:05,560 --> 00:11:08,580 +كإن بعتبر واحد سين واحد صاد عشان هو متعامدين لإن + +143 +00:11:08,580 --> 00:11:12,380 +في عندهم تعامد ساعتها بقول بيساوي جذر التربيع على + +144 +00:11:12,380 --> 00:11:16,520 +2 في واحد منهم وبطلع القيمة وطبعًا اتجاه down + +145 +00:11:16,520 --> 00:11:22,000 +صح ولا لأ ليش down لإنه بيقول لي أحلل هي دي هيك وهي + +146 +00:11:22,000 --> 00:11:26,550 +دي هيك وهي دي هيك وهي دي هيك الصيني روح وبالتالي + +147 +00:11:26,550 --> 00:11:30,150 +الـ net بيكون down هذا أحد أسئلة الكتاب في كثير + +148 +00:11:30,150 --> 00:11:35,330 +زيها أقل أو أكثر في عدة أسئلة بهذا الاتجاه عشان + +149 +00:11:35,330 --> 00:11:42,770 +نحله تمام هيك بنكون أنهينا هذا الشابتر والشابتر + +150 +00:11:42,770 --> 00:11:47,130 +مهم جداً لأنه فيه القانونين الرئيسيين اللي بيحسبوا لي + +151 +00:11:47,130 --> 00:11:49,410 +في شدة المجال المغناطيسي diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..83f56ca9773200a8c157529b82d6c0128a80b490 --- /dev/null +++ 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110.51, "end": 110.75, "word": " bar", "probability": 0.55908203125}], "temperature": 1.0}, {"id": 6, "seek": 13606, "start": 111.98, "end": 136.06, "text": "تمام و الفرق ما بين ال magnetic flux و ال electric flux انه للكلوز surface شباب ال electric flux ممكن يكون zero و ممكن يكون مش zero ال electric flux لأنه بيستوى qn على اي نوت و qn ممكن يكون لها قيمة لأنه في إمكانية يكون في عندي net charge ان الشحنات الموجة بتكون اكتر من الشحنات السالبة او العكس", "tokens": [39237, 10943, 4032, 27188, 2288, 4587, 19446, 49374, 2423, 12688, 19298, 4032, 2423, 5210, 19298, 16472, 3224, 5296, 23275, 1211, 2407, 11622, 3753, 13412, 3555, 16758, 2423, 5210, 19298, 3714, 43020, 7251, 30544, 4018, 4032, 3714, 43020, 7251, 30544, 37893, 4018, 2423, 5210, 19298, 5296, 33456, 3224, 4724, 1829, 14851, 2407, 7578, 9505, 77, 15844, 1975, 1829, 8717, 35473, 4032, 9505, 77, 3714, 43020, 7251, 30544, 5296, 11296, 12174, 32640, 3660, 5296, 33456, 3224, 8978, 11933, 2304, 41361, 10632, 7251, 30544, 8978, 43242, 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resistance اذا + +4 +00:00:19,740 --> 00:00:25,020 +كنتوا ذاكرين احنا حكينا ان المادة قسمت او قسمناها + +5 +00:00:25,020 --> 00:00:28,840 +إلى أربع أقسام القسم الأول الكعربية الساكنة القسم + +6 +00:00:28,840 --> 00:00:32,560 +التاني هي الكعربية الدينامكية واللي بتبدأ اليوم ان + +7 +00:00:32,560 --> 00:00:35,040 +شاء الله بال chapter الخامس وchapter السادس + +8 +00:00:35,040 --> 00:00:37,780 +استكمال لهذا الموضوع + +9 +00:00:40,790 --> 00:00:44,810 +under title current and resistance recommended + +10 +00:00:44,810 --> 00:00:51,730 +problems as before هتشوفوا لاسئلة قليلة في هذا ال + +11 +00:00:51,730 --> 00:00:56,210 +chapter لأن هذا ال chapter فيه شوية concepts وثقل + +12 +00:00:56,210 --> 00:00:59,170 +على التطبيق في ال chapter اللي ورا وبالتالي هذا ال + +13 +00:00:59,170 --> 00:01:04,130 +chapter يعتبر خفيف مقارنة باللي ورا بس هدول هذا + +14 +00:01:04,130 --> 00:01:07,910 +بدل انه برضه هتشوفوا أن الأمثلة برضه سهلة وقليلة + +15 +00:01:09,560 --> 00:01:14,520 +مواضيع شوية سهلة عشان هيك ال quiz تبعه أخديت + +16 +00:01:14,520 --> 00:01:16,700 +section من ال chapter اللي وقع على ال chapter هذا + +17 +00:01:16,700 --> 00:01:22,200 +عشان أعمله quiz خاص بي وبالتالي ال quiz تبعه طبعا + +18 +00:01:22,200 --> 00:01:25,240 +ال chapter او ال section اللي أخدته من ال chapter + +19 +00:01:25,240 --> 00:01:29,680 +برضه 10 عوينة في الكتاب فاصلينه وبالتالي هذا ال + +20 +00:01:29,680 --> 00:01:31,900 +chapter هيكون صغير كتير في الكتاب و ال chapter + +21 +00:01:31,900 --> 00:01:35,440 +اللي وقع كبير كتير فأنا فضلت أخد section من ال + +22 +00:01:35,440 --> 00:01:40,360 +chapter 27أو تمانية وعشرين وحطه على الشطار سبعة + +23 +00:01:40,360 --> 00:01:46,460 +وعشرين تمام اول حاجة نجي نشرح ال electric current + +24 +00:01:46,460 --> 00:01:52,240 +current معناه تيار شباب تيار كهربائي كلمة تيار + +25 +00:01:52,240 --> 00:01:58,370 +لغويا اتوا بيجي مفهوم حركةزي طيار ميه طيار هوا + +26 +00:01:58,370 --> 00:02:03,250 +طبعا لما نقول في طيار هوا الشجر ماتتحرك ولا لأ اذا + +27 +00:02:03,250 --> 00:02:08,210 +الهوا بتتحرك طيار ميه واضح الطيار فيه ميه كيف + +28 +00:02:08,210 --> 00:02:12,270 +الميه ماتتحركش بعدها؟ هلجيتي تتحركت حالها ولا لازم + +29 +00:02:12,270 --> 00:02:17,150 +حد ضخها؟ طيب من البراميل اللي فوق بدها مضخها ولا + +30 +00:02:17,150 --> 00:02:22,420 +حالة تنزل؟ليش؟ الجاذبية بمعنى اخر في فرق جهد، احنا + +31 +00:02:22,420 --> 00:02:25,520 +اتفقنا انه عند النقطة هذه فيه جهد ولا لا، فلما + +32 +00:02:25,520 --> 00:02:30,080 +يكون في عندي فرق جهد، بتنزل الميه، فرق في ال + +33 +00:02:30,080 --> 00:02:34,260 +potential energy، بتنزل الميه، اللي بده يقابل الآن + +34 +00:02:34,260 --> 00:02:40,650 +الميه التيار الكهربائيهناك حضّق ميّه سائل بتدفّق، + +35 +00:02:40,650 --> 00:02:45,890 +إن الآن شحنات هتتدفّق، هتتحرك شحنات، فبقولّي + +36 +00:02:45,890 --> 00:02:50,370 +whenever electric charges of the same sign move, + +37 +00:02:51,070 --> 00:02:54,270 +we have what is called electric currentإذا الـ + +38 +00:02:54,270 --> 00:02:57,650 +electric current مرتبط بحركة الشحنات طبعا لازم + +39 +00:02:57,650 --> 00:03:02,070 +يكون الشحنات من نفس النوعية احنا عارفين ان اللي + +40 +00:03:02,070 --> 00:03:05,470 +بتحرك أصلا الشحنات السالبة وهو الالكيونات وبالتالي + +41 +00:03:05,470 --> 00:03:09,050 +أصل الحركة للشحنات السالبة هي من نفس النوعية إذا + +42 +00:03:09,050 --> 00:03:15,450 +في حركة في شحنات طيب الحركة معناته في تغيرحركات + +43 +00:03:15,450 --> 00:03:20,890 +بتتغير ارتبط بالحركة في VCAF ال velocity صحيح ولا + +44 +00:03:20,890 --> 00:03:24,470 +لأ؟ وقلنا ال velocity عرفناها معدل تغير ازاحة + +45 +00:03:24,470 --> 00:03:28,510 +بالنسبة للزمن فبنقول موضوع هو بتتغير بالنسبة للزمن + +46 +00:03:28,510 --> 00:03:32,690 +هنا الشحنات عاملها تتحرك يعني بمعنى اخر هو انا + +47 +00:03:32,690 --> 00:03:38,610 +بتفرج على سلك كهربائي ومعظم الفرد انه مصنوع شفاف + +48 +00:03:38,610 --> 00:03:42,530 +هيك وبتطلع الشحنة اللي بشوفها بتدلها نفسها واقف + +49 +00:03:42,530 --> 00:03:46,070 +ولا بيجي غيرها؟بيشغيرها، اذا الشحنات بتتغير مع + +50 +00:03:46,070 --> 00:03:49,530 +الزمن ولا بتتغيرش، هي معناه تيار كهربائي، اذا + +51 +00:03:49,530 --> 00:03:55,850 +التعريف العلمي للمصطلح بيقول لي معناته I بيساوي DQ + +52 +00:03:55,850 --> 00:04:01,710 +على DT، I هو رمز التيار الكهربائي، هي التيار، معدل + +53 +00:04:01,710 --> 00:04:04,490 +تغير شحنة بالنسبة للزمن، الشحنات عامة بتتغير مع + +54 +00:04:04,490 --> 00:04:10,940 +الزمن، بتفوق و بتيجي، اذا DQ على DT، هي Iرمز جديد + +55 +00:04:10,940 --> 00:04:14,320 +اسمه electric current عندنا نشوف وحداته طبعا من + +56 +00:04:14,320 --> 00:04:19,740 +هذا التعريف q is a scalar quantity and time is a + +57 +00:04:19,740 --> 00:04:23,340 +scalar quantity so the electric current is also a + +58 +00:04:23,340 --> 00:04:26,470 +scalar quantityطبعا احنا بنعرف انها square + +59 +00:04:26,470 --> 00:04:30,090 +quantity لكن دايما بنقول اين اتجاه التيار صح ولا + +60 +00:04:30,090 --> 00:04:34,090 +لأ اتجاه التيار مرتبط باتجاه حركة الشحنات مش + +61 +00:04:34,090 --> 00:04:38,970 +باتجاه الكيمية نفسها ككمية فيزيائية the SI unit of + +62 +00:04:38,970 --> 00:04:42,990 +current in the ampere معروفة والامبير بيساوي كلوم + +63 +00:04:42,990 --> 00:04:46,870 +على second صحيح ولا لأ حسب التعريف هذه ايش وحدتها + +64 +00:04:47,580 --> 00:04:51,080 +كله مهدي سكنت كله مع سكنت هي الطيار لكن الطيار + +65 +00:04:51,080 --> 00:04:55,020 +عشان هو كمية مشهورة حكوا ان تديها واحدة وكلكم + +66 +00:04:55,020 --> 00:04:58,660 +تعرفوا أمبير هو عالم فرنسي وبالتالي تكريما إليه + +67 +00:04:58,660 --> 00:05:04,440 +اعطوا واحدة الطيار الكهربائيبقول although current + +68 +00:05:04,440 --> 00:05:08,720 +is a scalar quantity من التعريف a direction is + +69 +00:05:08,720 --> 00:05:11,320 +always specified to the current دايما بقول وين + +70 +00:05:11,320 --> 00:05:15,380 +تجاه التيار برغم ان هي scalar طب كيف تجاه التيار + +71 +00:05:15,380 --> 00:05:19,060 +بقول the direction of the current is taken by + +72 +00:05:19,060 --> 00:05:24,210 +conventionصار في اتفاق ما بين العلماء كيف يحددوا + +73 +00:05:24,210 --> 00:05:27,610 +اتجاه التيار شباب قالوا خلوها اتجاه حركة الشحنات + +74 +00:05:27,610 --> 00:05:32,770 +الموجبة يقال انه لما اتفقوا على هذا الشيء لسه + +75 +00:05:32,770 --> 00:05:35,870 +المعلومة ماكنتش وصلاهم ان اللي بتحرك هي الشحنات + +76 +00:05:35,870 --> 00:05:39,790 +السالبةفقالوا فهو موجب ولا لأ فقالوا لذا خلّي + +77 +00:05:39,790 --> 00:05:42,650 +الشحنات الموجبة وانت تتحرك ايه اتجاه التيار لما + +78 +00:05:42,650 --> 00:05:45,970 +عرفوا في الآخر انه بتتحرك اصلا للكيونات قالوا + +79 +00:05:45,970 --> 00:05:49,870 +بنغير مش هنغير خلينا زي ما احنا فهذا by confusion + +80 +00:05:49,870 --> 00:05:55,130 +يعني مجرد استراح يعني اتفاق مايش ليش يضحكوا تمام + +81 +00:05:55,130 --> 00:05:58,010 +to be the direction of motion of positive charges + +82 +00:05:58,010 --> 00:06:01,130 +اذا ان انا اتجاه التيار هو اتجاه حركة الشحنات + +83 +00:06:01,130 --> 00:06:04,750 +الموجبة فبالشحنات الموجبة بتتحرك مع المجال ولا + +84 +00:06:04,750 --> 00:06:08,690 +بتتحركش مع المجالمش بتتحرك مع المجال؟ لإن لو انا + +85 +00:06:08,690 --> 00:06:12,830 +في عندي مجال بهذا الشكل يا شباب، هي إيه؟ وفي عندي + +86 +00:06:12,830 --> 00:06:18,950 +شحنة موجبة، و أنا أتحرك هيك ولا هيك؟ بأتحرك هيك، + +87 +00:06:18,950 --> 00:06:24,870 +هذه .. إذا هذا هو أيه؟ هذا تيار، تمام؟ إذا صار + +88 +00:06:24,870 --> 00:06:28,990 +التيار و المجال زي بعض يعني، بمعنى أخر، تمام؟ طيب، + +89 +00:06:28,990 --> 00:06:34,250 +لما أنا أقسم إيه؟ مين جهده على هذه ولا هذه؟ اللي + +90 +00:06:34,250 --> 00:06:38,910 +هيإذا معناته شحنية بتتحرك من الجهد الأعلى لجهد + +91 +00:06:38,910 --> 00:06:42,310 +الأقل ولا لا؟ وعشان هيك حكوا عشان يظلوا الإنسان + +92 +00:06:42,310 --> 00:06:45,810 +مرتبط بحكاية الميه أو أي سيلان أنه أنا بعرف الميه + +93 +00:06:45,810 --> 00:06:48,970 +بتتيجي من فوق لتحت مش من تحت لفوق صح ولا لا؟ من + +94 +00:06:48,970 --> 00:06:51,610 +فوق لتحت يعني من الأعلى إلى الأدنى فخليها بنفس + +95 +00:06:51,610 --> 00:06:56,090 +المفهوم التيار بتتحرك من فوق لتحت من أعلى إلى أسفل + +96 +00:06:56,090 --> 00:06:58,050 +من الجهد الأعلى لجهد الأقل + +97 +00:07:06,110 --> 00:07:09,550 +بارض هذه معلومات واضحة ومافيش فيها مشكلة زيها زي + +98 +00:07:09,550 --> 00:07:11,270 +الميه مافيش اي اشكالية + +99 +00:07:14,090 --> 00:07:18,910 +إذا التيار هو شحنات بس بتتحرك الشحنات ارتبط فيها + +100 +00:07:18,910 --> 00:07:24,130 +charge density وقولنا lambda و sigma و rho نفس + +101 +00:07:24,130 --> 00:07:28,570 +العملية التيار بيرتبط في current density ال + +102 +00:07:28,570 --> 00:07:33,270 +current density عرفت على أنها تيار على مساحة بتشبه + +103 +00:07:33,270 --> 00:07:37,010 +sigma شباب طب ليش قالوا بس مساحة؟ قالوا التيار هو + +104 +00:07:37,010 --> 00:07:41,510 +ماشي زي الميه بقطع مساحات مساحة المقطع بقطعها + +105 +00:07:41,780 --> 00:07:45,620 +بالتالي هذه المساحة اللي بيقطعها جسم التيار عليها + +106 +00:07:45,620 --> 00:07:49,080 +بتعطيك ال current density electric current per + +107 +00:07:49,080 --> 00:07:52,740 +unit area per unit area بس على ال area in the + +108 +00:07:52,740 --> 00:07:55,920 +direction of the positive charge motion is known + +109 +00:07:55,920 --> 00:08:02,480 +as the current density J إذن D I بتسوي J ضد ال D E + +110 +00:08:02,480 --> 00:08:06,760 +هذه تعريف أخر وتأكيد أن التيار is scalar ولا + +111 +00:08:06,760 --> 00:08:11,880 +vectorسكيلة لأنه عبارة عن نتيجة سكيلة البرودكت بين + +112 +00:08:11,880 --> 00:08:16,760 +ال area وال current density ال area احنا عارفينها + +113 +00:08:16,760 --> 00:08:19,520 +من ايام ما أخدنا قانون gauss هي vector quantity + +114 +00:08:19,520 --> 00:08:23,340 +واتجاهها كيف يكون عمودي على السطح لو انا هجيت + +115 +00:08:23,340 --> 00:08:27,140 +الطيار هذا سلك و الطيار ماشي هيك مش بتكون ال area + +116 +00:08:27,140 --> 00:08:31,960 +برضه مع الطيار صح ولا لأ؟ اذا غالبا بتكون ال j و + +117 +00:08:31,960 --> 00:08:33,460 +ال a الزواي بينهم zero + +118 +00:08:38,430 --> 00:08:45,870 +كمل ترفيه المعادلةماذا يتكامل دي اي اي اي اي اي اي + +119 +00:08:45,870 --> 00:08:47,090 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +120 +00:08:47,090 --> 00:08:51,530 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +121 +00:08:51,530 --> 00:08:53,990 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +122 +00:08:53,990 --> 00:08:58,230 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +123 +00:08:58,230 --> 00:09:00,890 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +124 +00:09:00,890 --> 00:09:00,970 +اي + +125 +00:09:12,280 --> 00:09:17,080 +الان اتفهمنا ان الطيار مرتبط بحركة الشحنات لو + +126 +00:09:17,080 --> 00:09:21,880 +الشحنات واقفة بتتوقع يكون في طيار؟ لأ حسب التعليق + +127 +00:09:21,880 --> 00:09:26,120 +مافيش طيارطبعا انتوا بتعرفوا انه انا عشان اجبر + +128 +00:09:26,120 --> 00:09:32,800 +الشحنات تتحرك لازم اخلي فرق جهد بين طرفي السلك لان + +129 +00:09:32,800 --> 00:09:34,900 +اذا خليت فرق جهد بين طرفي السلك معناه تبقى يبقى في + +130 +00:09:34,900 --> 00:09:37,900 +عندي طرف موجب وطرف سالب و الشحنات تتحرك من الموجب + +131 +00:09:37,900 --> 00:09:41,800 +للسالب هذا الفرق الجهد مين بيأمليه دايما في + +132 +00:09:41,800 --> 00:09:45,910 +الواقع؟البطاريات او ال breeze اللى هان نحنا لما + +133 +00:09:45,910 --> 00:09:49,290 +نقول ال breeze 220 volt مش هدا فرق جهود هدا فرق + +134 +00:09:49,290 --> 00:09:52,750 +جهود البطارية هي واحد و نصف volt هدا فرق جهود ده + +135 +00:09:52,750 --> 00:09:56,350 +طبعا هنعرف حاجة من الراديو عشان يخرب بروح من جزء + +136 +00:09:56,350 --> 00:09:59,550 +من ال voltmeter بصير يعطيني ربع و عشر بنقول خلص + +137 +00:09:59,550 --> 00:10:03,790 +بطل يعطي فرق جهود كافي وبالتالي بدينش تيار ومقدرش + +138 +00:10:03,790 --> 00:10:09,050 +استفيد منه اذا عشان انايصير في عندي طيار لابد ان + +139 +00:10:09,050 --> 00:10:11,870 +يكون فيه فرق جهد بين طرفي أي سلك بده يمر فيه + +140 +00:10:11,870 --> 00:10:17,490 +الطيار تمام الآن الحركة هذه بعرف انا ارتباطها + +141 +00:10:17,490 --> 00:10:20,730 +بالسرعة بدي اجيب علاقة بين الطيار والسرعة بدي اجيب + +142 +00:10:20,730 --> 00:10:26,230 +علاقة بين الطيار والسرعة اقول التالي consider a + +143 +00:10:26,230 --> 00:10:28,790 +section of a convector بدي اجيب سلك واخد جزء من + +144 +00:10:28,790 --> 00:10:33,050 +السلكof cross-sectional area A and length DX + +145 +00:10:39,460 --> 00:10:42,800 +بقولي نبدأ في شحنات في عندي عدة شحنات كتير من + +146 +00:10:42,800 --> 00:10:48,520 +الشحنات تمام كل شحنة شحنتها Q بيسموها charge + +147 +00:10:48,520 --> 00:10:52,200 +carrier يعني الجثيم اللي حامل الشحنة زي البروتون + +148 +00:10:52,200 --> 00:10:56,140 +والإلكرون هذين بيسموها charge carrier حامل شحنة اي + +149 +00:10:56,140 --> 00:11:00,080 +جثيم بيحمل شحنة بيسمونه charge carrier if Q is the + +150 +00:11:00,080 --> 00:11:05,290 +charge of each charge carrier ممكن تعتبر Eو small + +151 +00:11:05,290 --> 00:11:11,830 +n هو عدد + +152 +00:11:11,830 --> 00:11:16,290 +الشحنات لكل واحدة حجم في هذا السيليك كيف بدي أعرف + +153 +00:11:16,290 --> 00:11:20,210 +أقل شحنة موجود مع أنه عدد الشحنات لكل واحدة حجم + +154 +00:11:20,210 --> 00:11:26,270 +معروفة بدي أعطيه small n في الحجم طب حجم الصورة + +155 +00:11:26,270 --> 00:11:27,650 +بقدر أجيبها؟ + +156 +00:11:30,460 --> 00:11:35,100 +ا في dx من صحة القاعدة في الارتفاع تمام ال total + +157 +00:11:35,100 --> 00:11:38,800 +number of charges in this section هو المفروض ان + +158 +00:11:38,800 --> 00:11:43,960 +انا جبت total charge ال total number ايش بيساوي ال + +159 +00:11:43,960 --> 00:11:48,900 +total number in بيساوي small in في ال volume صح + +160 +00:11:48,900 --> 00:11:52,680 +ولا لأ شباب ال + +161 +00:11:52,680 --> 00:11:58,040 +total number طب ال volume ايش بيساوي in a في dx + +162 +00:12:01,400 --> 00:12:06,820 +ن في DX هذي total number طب لو واحد قال ليه شحنة + +163 +00:12:06,820 --> 00:12:11,420 +كل واحد معروفة Q جديش الشحنة الكلية مش بدل و بدل + +164 +00:12:11,420 --> 00:12:16,080 +عدد في شحنة كل واحد اذا the total charge in this + +165 +00:12:16,080 --> 00:12:21,840 +section هذي الشحنات هي بتتحرك إلى سبعة بتكون هذي + +166 +00:12:21,840 --> 00:12:29,470 +واحد منهم شحنته Qتما فالشحنة الكلية بيصيح small n + +167 +00:12:29,470 --> 00:12:35,310 +في a dx في q هي طلعت الشحنة الكلية في هذا المقطع + +168 +00:12:35,310 --> 00:12:39,430 +اكم شحنة فيه عشانه في مقطع واحد سميتها dq قولت طب + +169 +00:12:39,430 --> 00:12:44,730 +اودي دي التيار الآن بقول التيار بيسوي dq على dt dq + +170 +00:12:44,730 --> 00:12:49,510 +على dt now the current produced by these charges + +171 +00:12:49,510 --> 00:12:55,040 +areI بيساوي DQ على DT حسب تعريفنا يامان فاضل + +172 +00:12:55,040 --> 00:12:57,880 +الشباب فده ثابت و ده ثابت و ده ثابت ده متغير + +173 +00:12:57,880 --> 00:13:03,600 +الوحيد فبصير بهذا الشكل ايش DX على DT بتساوي + +174 +00:13:03,600 --> 00:13:07,340 +السرعة هي السرعة اذا أنا جيبت العلاقة اللي انا + +175 +00:13:07,340 --> 00:13:12,300 +بديها رابط التيار بالسرعة برضه قانون فرعي يعني + +176 +00:13:12,300 --> 00:13:16,130 +مافيش عليه تطبيقات كتيرةلكن مجرد انه عشان يحكيلي + +177 +00:13:16,130 --> 00:13:20,390 +انه زودت السرعة بزيدي التيار وهذا شغلها مبتقية لان + +178 +00:13:20,390 --> 00:13:27,630 +الطيار حركة عشان كده لو احنا طلعنا شباب الميه + +179 +00:13:27,630 --> 00:13:32,910 +لما تكون عالية كتير بتكون سرعته اعلى او اقبر لما + +180 +00:13:32,910 --> 00:13:38,420 +تصلك تحت صحيح ولا لأ؟لأن السرعة بتزيد وبالتالي + +181 +00:13:38,420 --> 00:13:44,900 +الطيارة الميه بزيد تمام إذا ما I بيسوي NQADV عدد + +182 +00:13:44,900 --> 00:13:48,440 +الشحنات بلعب دور لإن هو حركة الشحنات هذه الشحنة + +183 +00:13:48,440 --> 00:13:51,760 +الكلية وهذه مساحة المخطأ كل ما زادت كل ما كانت + +184 +00:13:51,760 --> 00:13:56,370 +كمية الطيارة أكبرتمام زى ما حكينا هذا قانون مافيش + +185 +00:13:56,370 --> 00:13:59,930 +عليه كتير تطبيقات مباشرة خصوصا بال .. بالتطبيقات + +186 +00:13:59,930 --> 00:14:05,230 +العملية ممكن علميا بربطوها لكن مش كتير مهم في ال + +187 +00:14:05,230 --> 00:14:09,930 +.. في ال microscopic انه كيف انا بدي اشوف التيار و + +188 +00:14:09,930 --> 00:14:13,570 +افهمه من جوا بصير هذا القانون له شوية معنى لكن + +189 +00:14:13,570 --> 00:14:16,550 +بالتطبيقات الخارجية شباب هذا القانون بفقط له اي + +190 +00:14:16,550 --> 00:14:20,130 +معنى يعني مجرد قانون موجود و انا القانون الأصلي + +191 +00:14:20,130 --> 00:14:24,940 +اللى عادنا هناخده قانون امالقانون OM هو القانون + +192 +00:14:24,940 --> 00:14:29,900 +اللى بيدين الطيار بصورة الحقيقية لكن في الاخر بدي + +193 +00:14:29,900 --> 00:14:35,580 +اعرف ان الطيار مرتبط بالسرعة بالقطة طبعا VD is + +194 +00:14:35,580 --> 00:14:38,820 +known as the drift velocity السرعة المتوسطة لأنه + +195 +00:14:38,820 --> 00:14:42,020 +حركة الإلكيونات مزاى السيارة اللى ماشية عدل ده + +196 +00:14:42,020 --> 00:14:45,150 +الإلكيونات اللى بتمشيش بسرعة عدلة بتمشي هيكحركة + +197 +00:14:45,150 --> 00:14:49,450 +بيسموها زجزاجية تمام وبالتالي السرعة Vd أنا معنى + +198 +00:14:49,450 --> 00:14:54,670 +فيها انه المسافة المستقيمة ع الزمن فهذه بيسموها Vd + +199 +00:14:54,670 --> 00:14:59,330 +الاندفاعية السرعة الاندفاعية Vd is the drift + +200 +00:14:59,330 --> 00:15:02,210 +velocity the average displacement per unit time + +201 +00:15:02,210 --> 00:15:05,090 +along the direction of the current لأنه الالكترون + +202 +00:15:05,090 --> 00:15:08,770 +عادة شباب بمشي هيك وبالتالي لو بدي أجيب السرعة بدي + +203 +00:15:08,770 --> 00:15:12,400 +المسافة هذهعلى الزمن مرات بيكون عندك حواكت + +204 +00:15:12,400 --> 00:15:17,240 +إلكترونات لكن مافيش تيار بتكون بتخرج رايح جاي على + +205 +00:15:17,240 --> 00:15:23,700 +الفاضي مابيقطعش مسافات كتيرة تمام الآن ال + +206 +00:15:23,700 --> 00:15:32,240 +resistance التيار بيفوت في أسلاكوالأسلاك متنوعة في + +207 +00:15:32,240 --> 00:15:35,200 +عند إنحاس وفي عند الفضة وفي عند المطاط وفي عند + +208 +00:15:35,200 --> 00:15:40,060 +البلاستيك والزجاج ومائة ألف مادة بمادة كيف بدي + +209 +00:15:40,060 --> 00:15:46,820 +أميز بينهم هذا الـsilic ربطوه بكينية فيزيائية + +210 +00:15:46,820 --> 00:15:51,500 +جديدة سموها المقاومة ال resistance المقاومة بيقول + +211 +00:15:51,500 --> 00:15:55,320 +لي the current results by applying a potential + +212 +00:15:55,320 --> 00:16:00,470 +difference between the ends of a conductorمعروفة + +213 +00:16:00,470 --> 00:16:03,270 +ان الطيار من اين بيجي انك تجيه فرق جوهر بين طرفاك + +214 +00:16:03,270 --> 00:16:06,650 +وconductor هذا الطيار depends on the + +215 +00:16:06,650 --> 00:16:11,370 +characteristic of that conductor كمية مرتبط بنوع + +216 +00:16:11,370 --> 00:16:15,150 +المادة المصنوع منها السلكcharacteristic of that + +217 +00:16:15,150 --> 00:16:19,070 +conductor تمام the quantity that measures this + +218 +00:16:19,070 --> 00:16:22,970 +characteristic خاصية مادة كيبي ده يجيسها قالوا + +219 +00:16:22,970 --> 00:16:26,110 +خلينا نجيسها بكمية فيزيائية سموها ال resistance + +220 +00:16:26,110 --> 00:16:30,630 +المقاومة resistance and the wire whose function is + +221 +00:16:30,630 --> 00:16:33,750 +to provide a specific resistance is called + +222 +00:16:33,750 --> 00:16:37,430 +resistor والسلك اللي بيقول عنه مقاومة ايش بيسميه + +223 +00:16:37,430 --> 00:16:40,850 +برضه مقاومة احنا باللغة تبعتناهذا مقاومة ومقاومته + +224 +00:16:40,850 --> 00:16:45,930 +موجدهش لكن الـ Resistor هو السلك اللي رسمته من هنا + +225 +00:16:45,930 --> 00:16:52,490 +الهيك هتكون صحيح؟ حد ايش بيسميه Resistor؟ Resistor + +226 +00:16:52,490 --> 00:17:00,690 +مقاومة تمام ال resistance R المقاومة Resistance + +227 +00:17:00,690 --> 00:17:06,090 +رمزها R is defined by R بيستوى V على I قانون إيش + +228 +00:17:06,090 --> 00:17:13,720 +هذا؟ هاي قانون Oبقول V تتناسب تناسب ارتضيا مع I + +229 +00:17:13,720 --> 00:17:20,020 +ثابت التناسب هو R ايش يعني؟ بقولي I هذه كل ما زاد + +230 +00:17:20,020 --> 00:17:24,460 +فرق الجهد كل ما بفوض التيار يزيد لأنه لما يزيد فرق + +231 +00:17:24,460 --> 00:17:27,700 +الجهد شباب لو بداي أرجع أرجع واقعي أنها بتزيد + +232 +00:17:27,700 --> 00:17:33,580 +القوة لأنه أنا فرق الجهد أصلا جاي من تكامل E ضد ال + +233 +00:17:33,580 --> 00:17:40,100 +DL وهذه إلى ده أوز أفعل Qصح انا لأ اذا انا لما فيط + +234 +00:17:40,100 --> 00:17:44,000 +الجهد يزيد القوة بتزيد القوة اللى بتحرك + +235 +00:17:44,000 --> 00:17:48,320 +الالكترونات و لما تزيد القوة بتزيد السرعة و لما + +236 +00:17:48,320 --> 00:17:52,500 +تزيد السرعة بتزيد التيار نرجع كمان مرة لو برمين + +237 +00:17:52,500 --> 00:17:57,560 +الميه تبعنا على العاشر و انا ساكن في الاول ولا انا + +238 +00:17:57,560 --> 00:18:02,070 +ساكن في التاسع و كيف الميه بتكون اقوىوقت ايش؟ لما + +239 +00:18:02,070 --> 00:18:05,770 +اكون على الاول .. ليش؟ لما بيكون فرق الجهد اعلى + +240 +00:18:05,770 --> 00:18:09,570 +بين العاشر والاول .. فرق جهد لان فرق energy في + +241 +00:18:09,570 --> 00:18:13,970 +نهاية الجهد هو energy عشان كده لما انت تكون ساكن + +242 +00:18:13,970 --> 00:18:19,050 +وبرمين على السطح تبعدات مرات الأطفال مابيشتغلشلأن + +243 +00:18:19,050 --> 00:18:22,690 +الناس ما بدي قوة دفع. بدي قوة دفع في الميه. نفس + +244 +00:18:22,690 --> 00:18:27,590 +العملية. اللي بيمثل او بيناظر فرق الجهد ما بين + +245 +00:18:27,590 --> 00:18:31,770 +برميل الميه والمصورة اللي عندك في الدار هو فرق + +246 +00:18:31,770 --> 00:18:35,870 +الجهد القهربائي. كل ما زاد فرق الجهد كل ما زاد + +247 +00:18:35,870 --> 00:18:39,330 +التيار. كل ما زاد الارتفاع. الارتفاع هو بيمثل + +248 +00:18:39,330 --> 00:18:44,550 +الجهد هناك. كل ما زاد قوة الميه. تيار الميه. تمام? + +249 +00:18:44,710 --> 00:18:49,550 +فهذا قانون انبياءه قانون عادي.زود فرق الجهد بزيدي + +250 +00:18:49,550 --> 00:18:54,830 +الطيارة هناك نسبة طردية وتناسب طرد بين V و I من + +251 +00:18:54,830 --> 00:19:00,750 +اللي بربطهم؟ R لكن هل R تعتمد على V؟ لأ و لا تعتمد + +252 +00:19:00,750 --> 00:19:06,790 +على I هذا اللي دعوة بهذا لكن هذا ليس دعوة بهذا + +253 +00:19:06,790 --> 00:19:12,590 +بمعنى آخر هذا مقدار ثابت زي بناظر ال capacitance C + +254 +00:19:14,070 --> 00:19:20,050 +C كانت تربوت Q و V لكن لا Q ولا V انهم دعوة بالـ C + +255 +00:19:20,050 --> 00:19:24,550 +بقى تروح على الـ C تامة V is the potential + +256 +00:19:24,550 --> 00:19:27,610 +difference between the ends of a resistor فرق + +257 +00:19:27,610 --> 00:19:30,950 +الجهد رمزه بدل ما يقولوا Delta V اتفقنا من اليوم + +258 +00:19:30,950 --> 00:19:34,730 +اطلع بنخليه V زي فرق الجهد بين طرفي الكباسيتر هنا + +259 +00:19:34,730 --> 00:19:40,130 +فرق الجهد بين طرفي المقاومة او السلك تمةهذه إيش + +260 +00:19:40,130 --> 00:19:43,510 +وحدتها؟ قالوا vote على أمبير طبعا في النهاية هذه + +261 +00:19:43,510 --> 00:19:47,370 +صوت كمية تجارية وبالتالي ادوها وحدة إيش وحدتها؟ + +262 +00:19:47,370 --> 00:19:51,370 +الـOM إذا thus a unit of resistance is vote per + +263 +00:19:51,370 --> 00:19:55,770 +ambeir or OM that is واحد OM بيسوي واحد vote على + +264 +00:19:55,770 --> 00:20:03,090 +أمبير طبعا هذا الرمز إيش بيسموه؟Capital Omega هذي + +265 +00:20:03,090 --> 00:20:07,430 +إيش؟ اسمه Omega طبعا أنتوا بتعرفوا Omega بتمثل حرف + +266 +00:20:07,430 --> 00:20:09,410 +O في اللغة اليونانية + +267 +00:20:12,650 --> 00:20:16,730 +طبعا احنا غالبا بناخد الرمز الانجليزي يعني لما + +268 +00:20:16,730 --> 00:20:20,570 +نقول امبير اخدنا ايه لكن مشكلة اوم قالوا اوم هذا + +269 +00:20:20,570 --> 00:20:24,350 +الحرف بشعه شوية مش هالشنه بشعه بشعه يعني كمنظر لا + +270 +00:20:24,350 --> 00:20:27,810 +بمثل السفر فبالتالي شرضوا منه قالوا هذا مينفعش + +271 +00:20:27,810 --> 00:20:31,070 +ضوروا لك اللغة اليونانية جنبهم قالوا هذا حلو ال + +272 +00:20:31,070 --> 00:20:35,050 +اوم ال اوم هو الحرف ال او في اللغة اليونانية بمثل + +273 +00:20:35,050 --> 00:20:39,200 +ال اوفلقوا طبعا ال small ω هذه كانت متاخدة لل + +274 +00:20:39,200 --> 00:20:42,360 +frequency فقالوا ناخد ال capital فاعتمدت ال + +275 +00:20:42,360 --> 00:20:48,120 +capital O او ال capital ω لك حرف على ال O طبعا + +276 +00:20:48,120 --> 00:20:53,280 +تعرف انت ساعات ال ω بيكون هذا الحرف موجود في ساعة + +277 +00:20:53,280 --> 00:20:57,880 +نحو اوميجا بيكون هذا اللمس محطوط عليها فهذا هو حرف + +278 +00:20:57,880 --> 00:21:04,270 +ال ω باللغة اليونانية وهو بمثل ال Oطبعا فى الرصيم + +279 +00:21:04,270 --> 00:21:07,690 +فى الرصيم احنا عرفنا الكبيرستر بيحطوا عصاية جبال + +280 +00:21:07,690 --> 00:21:11,030 +عصاية و البكترية عصاية صغيرة و عصاية كبيرة عشان ال + +281 +00:21:11,030 --> 00:21:12,950 +good and bad بتبقوا negative طب المقاومة كيف بدنا + +282 +00:21:12,950 --> 00:21:16,290 +نعملها؟ نعملها هى كوكب تعرفوها مظبوط ولا لا + +283 +00:21:16,290 --> 00:21:19,050 +شايفينتوا المقاومات فى المعمل ولا مش شايفينها مش + +284 +00:21:19,050 --> 00:21:23,090 +بيكون محوطة بخشب و عليها ألوان لو جيبت شكوش و خبطت + +285 +00:21:23,090 --> 00:21:27,630 +الخشب بلاجة لسلك متعواج زي هيك طب ليش عاملوله هيك + +286 +00:21:27,630 --> 00:21:35,450 +سلك متعواج طب ليش ماملوليه؟انتوا عارفين ليش يعملوه + +287 +00:21:35,450 --> 00:21:38,850 +هيك؟ عشان يقولوا ان حركة هنا صعبة في مقاومة ان + +288 +00:21:38,850 --> 00:21:44,130 +الطريق مش عدلى، الطريق متعرجة عشان يدّيك إحاء ان + +289 +00:21:44,130 --> 00:21:47,170 +في عندك مقاومة حركة، بس، لكن مش الواحد يقول يا + +290 +00:21:47,170 --> 00:21:49,250 +الله دي هو الخشب لو جات أعطاه بصير السيلك هذا + +291 +00:21:49,250 --> 00:21:52,690 +متعوج، متعوج، لأ، برضه السيلك عادل بيكون، تمام؟ + +292 +00:21:52,690 --> 00:21:55,790 +يعني هو زي .. زي أي سيلك عادي، بس بتلاقي هذا مثلا + +293 +00:21:55,790 --> 00:21:59,970 +من حاسب، هذا من مادة مختلفة، silicone ولا أي حاجة + +294 +00:21:59,970 --> 00:22:06,590 +بيكون له مقاومة معينةبقول اذا و التو حكينا it + +295 +00:22:06,590 --> 00:22:10,110 +should be noted that the resistance R is + +296 +00:22:10,110 --> 00:22:14,970 +independent of I or V لا يعتمد لا على I ولا على V + +297 +00:22:14,970 --> 00:22:17,590 +but found to be directly proportional to the + +298 +00:22:17,590 --> 00:22:20,510 +length of the resistor and inversely proportional + +299 +00:22:20,510 --> 00:22:25,010 +to the cross sectional area لقوا ان السلك كل ما + +300 +00:22:25,010 --> 00:22:30,270 +طال مقاومته بتزيد وكل ما عرض مقاومته بتقل برضه هذا + +301 +00:22:30,270 --> 00:22:35,730 +منطقي كل ما زاد السلكطولة الطريق تعب الإلكترون وهو + +302 +00:22:35,730 --> 00:22:39,750 +بتحرك، معناته صار فيه عندي مقاومة، كل مكان السلك + +303 +00:22:39,750 --> 00:22:43,410 +عريض، أريحة الإلكترون يتحرك، وبالتالي المقاومة + +304 +00:22:43,410 --> 00:22:50,510 +أجال، فجالوا إن R تتناسب ترضيا مع إيه وعكسيا مع + +305 +00:22:50,510 --> 00:22:55,510 +إيه، ثابت التناسب يتبج من مادة لمادةهذا الثابت + +306 +00:22:55,510 --> 00:23:00,410 +سموه Resistivity المقومية التوصيلية أو الموصيلية + +307 +00:23:00,410 --> 00:23:07,810 +عكسه تمام المقاومية طبعا هذه بتسوي O متر لأن هذه + +308 +00:23:07,810 --> 00:23:11,450 +متر و هذه متر تربية فبتصير عندي هنا متر فهذه + +309 +00:23:11,450 --> 00:23:16,410 +محددتها O متر طبعا ال Resistivity كمية علمية لكن + +310 +00:23:16,410 --> 00:23:19,370 +مش تجارية فمددوهاش واحدة خاصة بيها قالوا خليها O + +311 +00:23:19,370 --> 00:23:23,410 +متر تمام و ال convectivity اللي حكيته عنها عكسها + +312 +00:23:24,870 --> 00:23:28,230 +ووحدتها عكسها البروشورية في constants هو is called + +313 +00:23:28,230 --> 00:23:31,510 +the resistivity of the material of which the + +314 +00:23:31,510 --> 00:23:35,150 +resistor is made تمام و ال reciprocal of the + +315 +00:23:35,150 --> 00:23:39,990 +resistivity عكس ال resistivity is called the + +316 +00:23:39,990 --> 00:23:44,690 +conductivity بسموها السجما بسوء واحد على رمط طبعا + +317 +00:23:44,690 --> 00:23:49,630 +هذه واحدتها اوم متر و هذه واحدتها واحد على اوم متر + +318 +00:23:49,630 --> 00:23:55,790 +مش مشكلةالراو والسيجما للمواد هتعطيلكم موجودة في + +319 +00:23:55,790 --> 00:24:01,730 +الكتب وموجودة في كل المواقع حسبت بالمعامل وصارت كل + +320 +00:24:01,730 --> 00:24:07,830 +المادة لها قيمة معينة وتعطى وموجودة في كل المواقع + +321 +00:24:07,830 --> 00:24:12,910 +الذات الصلة تمام حاليا عندي بعض المواد بس عشان + +322 +00:24:12,910 --> 00:24:17,560 +نكون في اناسينسالسلفر أجواء أنواع المواد + +323 +00:24:17,560 --> 00:24:21,940 +كcontactors .. السلفر .. طبعا بيجي ورا نحاس .. + +324 +00:24:21,940 --> 00:24:25,660 +طبعا احنا ليش بنفضل هدا عن هدا؟ عشان الفلوس .. + +325 +00:24:25,660 --> 00:24:30,040 +عشان الرخص .. تمام؟ وإلا كان أخدناها الأيام هتغالق + +326 +00:24:39,200 --> 00:24:46,680 +مش مادة عازلة وموصلة شوفوا ال glass جديش 3×10 أقصى + +327 +00:24:46,680 --> 00:24:51,390 +10تلاتة في عشرة و اصعاشرة هنا واحد و ستة عشر في + +328 +00:24:51,390 --> 00:24:54,930 +عشرة و السرب تمانية شوف الفرق الشاسع بينهم عشان + +329 +00:24:54,930 --> 00:24:59,710 +كده احنا نظريا بنعتبر الكبر او ال silver مقاومة to + +330 +00:24:59,710 --> 00:25:03,970 +zero لما نيجي نعمل مقاومة زي هي رفمة + +331 +00:25:07,210 --> 00:25:11,830 +هذا سيليك انحاسي فانا جديش باعتبر هذا مقاومته زيرو + +332 +00:25:11,830 --> 00:25:16,530 +تقريبا نظريا هو قيمة بس في عشر وسنة بتمانية غير + +333 +00:25:16,530 --> 00:25:19,450 +لما يكون هذا الله علا مش يكون طبعا مش بدرورة عشرة + +334 +00:25:19,450 --> 00:25:23,610 +و عشرة لكن في النهاية حتى لو كان قيمته خمسة غير + +335 +00:25:23,610 --> 00:25:25,990 +لما يكون هذا خمسة في عشر و نقص خمسة و نقص عشرة + +336 +00:25:25,990 --> 00:25:30,690 +يكون صغير فنظريا نحن نعتبر ال conductors مقاومتهم + +337 +00:25:30,690 --> 00:25:33,430 +تقريبا زيرو طبعا كنتوا بتعرفوا الزيرو موجود في ال + +338 +00:25:33,430 --> 00:25:37,250 +super conductorsوالـ superconductors لحد الآن + +339 +00:25:37,250 --> 00:25:41,490 +مالوش تطبيق عملي لأنه بيصير ال superconductors عن + +340 +00:25:41,490 --> 00:25:46,890 +درجة حرارة كتير واطية .. كتير واطية وبالتالي تكلفة + +341 +00:25:46,890 --> 00:25:50,690 +اني اجيب درجة حرارة واطية ما زالت عالية انها تكون + +342 +00:25:50,690 --> 00:25:55,140 +تستخدم بالامور العمليةتمام حتى في دول أوروبا اللي + +343 +00:25:55,140 --> 00:25:58,500 +دالما درجة الحرارة عندهم مواطية برضه بنقلت كتير من + +344 +00:25:58,500 --> 00:26:05,940 +كده فوق 200 ساعة 200 Kelvin يعني امور لسه شوية + +345 +00:26:05,940 --> 00:26:10,720 +عالية هذا temperature coefficient عندنا هنعرف شباب + +346 +00:26:10,720 --> 00:26:16,000 +انه درجة الحرارة بتأثر على المقاومة وبالتالي بتأثر + +347 +00:26:16,000 --> 00:26:20,960 +من مادة لمادة بمعامل عندنا هناخده تمام + +348 +00:26:22,300 --> 00:26:29,580 +الان بدي انا اربط فرق الجهدوالـ Convectors ربطهم + +349 +00:26:29,580 --> 00:26:34,940 +بقانون Ohm وقلت انه R بيساوي V على I وسمته قانون + +350 +00:26:34,940 --> 00:26:39,800 +Ohm هذا قانون Ohm إلى صيغة أخرى صيغة أشهر علميا + +351 +00:26:39,800 --> 00:26:45,340 +هذه صيغة مشهورة تجاريا في صيغة بيجيبلي أصل الجهد + +352 +00:26:45,340 --> 00:26:48,980 +وهو المجال الكهربائي بربطني ب Resistivity بيقولي + +353 +00:26:48,980 --> 00:26:53,740 +خليني أشوف هالشغلة هذا السلك السلك الأحمر طوله L و + +354 +00:26:53,740 --> 00:26:57,560 +ال cross sectional area تبعته I وفيه تيارهي + +355 +00:26:57,560 --> 00:27:03,220 +الطيارة طبعا في فرق جهد فيه قال لي فرق الجهد لو + +356 +00:27:03,220 --> 00:27:07,400 +بدك تجيبه تقدر تجيبه أصلا من شدة المجال ولا لا + +357 +00:27:07,400 --> 00:27:11,480 +بقدر أجيب شدة المجال جوا هذا الـ select بقوله أه + +358 +00:27:11,480 --> 00:27:16,120 +بقوله الجهد بالسوء السالي بالتكامل E ضد ال DL + +359 +00:27:16,120 --> 00:27:20,400 +ذكروا هذا القانون؟ اذا انا ممكن أجيب شدة المجال + +360 +00:27:20,400 --> 00:27:24,980 +اذا فرق الجهد معروفبقول the potential difference V + +361 +00:27:24,980 --> 00:27:28,540 +is related to the electric field و بدي افترض ان ال + +362 +00:27:28,540 --> 00:27:31,360 +electric field assumed to be uniform عشان اطلعه + +363 +00:27:31,360 --> 00:27:35,640 +برا التكامل دلتر دول تكامل دي L قدش تكامل دي L؟ L + +364 +00:27:35,640 --> 00:27:39,100 +فبقولي assumed to be uniform for the relation V + +365 +00:27:39,100 --> 00:27:41,840 +بيساوي ايه في L طبعا V السعر بينسوها لان انا + +366 +00:27:41,840 --> 00:27:44,320 +مااخدها absolute value على اعتبار ان هذا الشيء هو + +367 +00:27:44,320 --> 00:27:46,800 +Delta V Delta V من initial ل final او من final ل + +368 +00:27:46,800 --> 00:27:51,520 +initial لا تفرقش معايا فيها فضلات جهد هذا هوطيب + +369 +00:27:51,520 --> 00:27:58,920 +بقولي لكن V بتسوي I في R V بتسوي I في R طيب إذا + +370 +00:27:58,920 --> 00:28:06,160 +صار I في R بتسوي E في L حلو R توا طلعتها بتسوي Rho + +371 +00:28:06,160 --> 00:28:12,960 +L على A Rho L على A و .. و ال I إلها دعوة بال + +372 +00:28:12,960 --> 00:28:16,500 +current density فبقولي substituting for I from the + +373 +00:28:16,500 --> 00:28:19,840 +relation I بتسوي J في ال A current density في ال + +374 +00:28:19,840 --> 00:28:27,220 +areaوالـ R بيصيح رو L على A عوض شباب عوضوا هنا بدل + +375 +00:28:27,220 --> 00:28:34,340 +I بيضحط JA وهي R بدلها بيصيح رو L على A شوفوا ال A + +376 +00:28:34,340 --> 00:28:40,430 +مع ال A راحت بيصيح E في ال LالـA مع الـA راحت + +377 +00:28:40,430 --> 00:28:44,570 +والـA مع الـA راحت صحيح اندي جي في الروح بالثاوي E + +378 +00:28:44,570 --> 00:28:49,510 +طبعا هذه ماهي واحدة على سجمة صح اذا اذا ممكن اقول + +379 +00:28:49,510 --> 00:28:54,870 +جي بالثاوية سجمة في E هذا + +380 +00:28:54,870 --> 00:28:59,910 +قانون ام صيغة تانية لقانون ام خليني اعملها بس انا + +381 +00:28:59,910 --> 00:29:06,060 +اعملها جي بالثاوية سجمة في E اللي انا طلعتهبرضه زي + +382 +00:29:06,060 --> 00:29:09,400 +ما حكينا هذا صيغة أخرى للقانون Ohm J بيستوي Sigma + +383 +00:29:09,400 --> 00:29:13,660 +في E أو قانون يعطينا قيمة current density that if + +384 +00:29:13,660 --> 00:29:17,840 +the ratio of the current density اللي هي J and the + +385 +00:29:17,840 --> 00:29:22,220 +electric field is constant العلاقة بين J وE is + +386 +00:29:22,220 --> 00:29:26,720 +constant والثابت هذا هو conductivity Sigma this + +387 +00:29:26,720 --> 00:29:29,600 +statement is known as Ohm's law + +388 +00:29:33,290 --> 00:29:34,430 +حلينا نحل مثال + +389 +00:29:37,540 --> 00:29:39,980 +هذه أمثلة برضه بسم جراد احنا جبناها عشان نقول فيها + +390 +00:29:39,980 --> 00:29:43,140 +أمثلة وين كانت سهلة يعني يا جد هتشوفوا اللي بيشتغل + +391 +00:29:43,140 --> 00:29:47,780 +calculator لإن انت لا مخك عايش تشتغل ولا حتى ايدك + +392 +00:29:47,780 --> 00:29:50,780 +حتى تشتغل بيقول لي calculate the resistance بيطلو + +393 +00:29:50,780 --> 00:29:56,320 +R بيطلو R the resistance of aluminium cylinder لما + +394 +00:29:56,320 --> 00:30:00,460 +يقولك aluminium شباب عطول روح اذا انت في امتحان + +395 +00:30:00,460 --> 00:30:02,620 +بديكي اياه او اذا مش في امتحان بيقولكي افتح الكتاب + +396 +00:30:02,620 --> 00:30:05,120 +و جيبلي رول الالمنيوم اللي جدوا اللي توشوا بديتكم + +397 +00:30:05,120 --> 00:30:10,930 +اياه اذا الروح ماتاياof length 10 cm طولها 10 cm + +398 +00:30:10,930 --> 00:30:14,750 +and cross sectional area 10 to 10 to power minus 4 + +399 +00:30:14,750 --> 00:30:18,230 +meter تربية وعطاك ال ايه repeat the calculation + +400 +00:30:18,230 --> 00:30:21,810 +for a similar glass cylinder نفس ال cylinder لكن + +401 +00:30:21,810 --> 00:30:25,730 +مصنوعة من ال glass جديش المقاومة تبعتك فالحل + +402 +00:30:25,730 --> 00:30:31,110 +solution هذا هو هذا القرن رو + +403 +00:30:33,740 --> 00:30:37,740 +عشرة ثانوية متين بس بدي أحولها لصيلة 0.1 والإيه + +404 +00:30:37,740 --> 00:30:42,720 +هده هي موجودة Calculator اشتغلت طلعتناها المقارنة + +405 +00:30:42,720 --> 00:30:49,770 +طلعت 1.4 10⁻⁵ Ohm طبعا صغيرةطب مظبوطا لأ جالى نفس + +406 +00:30:49,770 --> 00:30:54,550 +الستوعة نفس السليك و نفس الطول و نفس المساعة باسم + +407 +00:30:54,550 --> 00:30:57,830 +استوعة من الجلاص بتتوقع المقاومة ده زي ما هي لأ + +408 +00:30:57,830 --> 00:31:01,770 +الجلاص ده مدعازي لأ جالى فاية طب من اين جيجي بروه + +409 +00:31:01,770 --> 00:31:06,090 +جالى برضه شحطة برضه ده عندك في الجداوي تمامشحطناها + +410 +00:31:06,090 --> 00:31:09,950 +و عوضنا جيبناها من الجدول طلعت واحد و نص عشر أقصى + +411 +00:31:09,950 --> 00:31:14,610 +تلتاشر أهم مش موجودش المقارنة كبيرة بين ناقص خمسة + +412 +00:31:14,610 --> 00:31:18,110 +و عشر أقصى تلتاشر فبالتالي هنا في مقامة هناك + +413 +00:31:18,110 --> 00:31:21,430 +المقامة تقريبا negligible و بتكون approximately + +414 +00:31:21,430 --> 00:31:26,730 +zero تمام هذا مثال شوفوا مثال مصعب؟ حتى لأ بالتالي + +415 +00:31:26,730 --> 00:31:31,430 +ال quiz هذا شتبته هيكون سهل إذا على الحال هي هي ان + +416 +00:31:31,430 --> 00:31:36,010 +شاء الله شوف كمان مثال هذا ايش مشكلته؟بيقول + +417 +00:31:36,010 --> 00:31:38,990 +calculate the resistance per unit length لكل واحدة + +418 +00:31:38,990 --> 00:31:43,950 +الطول عشان كده مش بيعطيك الطول فإيش كمان؟ of a 22 + +419 +00:31:43,950 --> 00:31:48,010 +-gauge-nichrome هذي اسم سابقة يا شباب يعني 22 + +420 +00:31:48,010 --> 00:31:50,670 +-gauge-nichrome مش اللي واحد يقول 22 مين يستخدمها + +421 +00:31:50,670 --> 00:31:55,750 +المطايلة من أول عالم لأ تمام؟ which has a radius + +422 +00:31:55,750 --> 00:32:00,050 +of 0.321 millimeters يعطيك ال radius بترى دي + +423 +00:32:00,050 --> 00:32:00,770 +بالمساحة؟ + +424 +00:32:03,820 --> 00:32:07,400 +بدي .. تمام بس بدي ال A انا لان ال A كده اجيبها + +425 +00:32:07,400 --> 00:32:13,820 +اول بدي اجيب ال A by Arthur B يعني مش مساحة + +426 +00:32:13,820 --> 00:32:19,480 +الصوارى مساحة المقطع مش مساحة الصوارى هيتركوا + +427 +00:32:19,480 --> 00:32:23,780 +الصوارى ده انه انا هذه الشي شباب مش مساحة السليك + +428 +00:32:23,780 --> 00:32:29,880 +مساحة مقطع السليكللعرض طبعه بالجسم العرض فبالتالي + +429 +00:32:29,880 --> 00:32:32,660 +اول حاجة ايه بيساوي بيقعد تنبيه طلعتها بعدين + +430 +00:32:32,660 --> 00:32:35,520 +مابيضالش اشي طبعا هو بيكتبولنا الطول بقوله مابديش + +431 +00:32:35,520 --> 00:32:39,840 +الطول انا انا بدي R على L بدي R على L وبالتالي + +432 +00:32:39,840 --> 00:32:44,640 +بقول Now R بيساوي رو الى على A R على L بيساوي رو + +433 +00:32:44,640 --> 00:32:48,840 +على A اذا R على L بيساوي رو على A رو هذه برضه تقطع + +434 +00:32:48,840 --> 00:32:54,020 +من في الجداولبعطينا إياها و طلعت 4.6 only كل متر + +435 +00:32:54,020 --> 00:33:00,400 +يعني كل متر 4.6 لو اتنين متر مضرباتي في اتنين وهذه + +436 +00:33:00,400 --> 00:33:08,280 +مثلة كتير سهلة مافيش عندى مشكلة برضه شغلة سهلة + +437 +00:33:08,280 --> 00:33:12,020 +أوبناتشنجاف عندها كتير هو علاقة المقاومة مع درجة + +438 +00:33:12,020 --> 00:33:12,600 +الحرارة + +439 +00:33:15,050 --> 00:33:18,730 +الان ايش بتسوي ضيوف الحرارة في الحركة و في الأمور؟ + +440 +00:33:18,730 --> 00:33:23,470 +بيقولني اتفقنا ان الطيار الكهربائي هو حركة شحنات + +441 +00:33:23,470 --> 00:33:27,770 +جوا المادة، في عندي فرخ جهد، الالكترون كان فيه، + +442 +00:33:27,770 --> 00:33:33,250 +اتحرك، طب هو بتحرك جوا، جوا السلك، فاض السلك زي + +443 +00:33:33,250 --> 00:33:39,020 +المي ما هي بتمشي بمواسير فارغة؟ لألأن السلك من + +444 +00:33:39,020 --> 00:33:41,860 +داخله ليس فاضي، لو كان فاضي يتحرك، يصيب واسط عازل، + +445 +00:33:41,860 --> 00:33:46,400 +يصيب فلعب، إذا السلك من داخله عبارة عن مادة، وهذه + +446 +00:33:46,400 --> 00:33:51,640 +المادة فيها سكان، وسكان المادة atoms، سكان المادة + +447 +00:33:51,640 --> 00:33:56,490 +atoms، هجيتي من داخلها ممكن تتحركهدول ال atoms إذا + +448 +00:33:56,490 --> 00:34:00,470 +كانوا صعبين ومشاغبين بيخلونك تتحرك بسهولة صح ولا + +449 +00:34:00,470 --> 00:34:03,890 +لأ؟ هتتصور إن أنت بدك تمشي في شارع معاك سيارة بدك + +450 +00:34:03,890 --> 00:34:07,590 +تمشي في شارع الشارع في سيارات مين أسهل لك تمشي في + +451 +00:34:07,590 --> 00:34:10,370 +سيارات في شارع في سيارات واقفة و سيارات بتتحركها؟ + +452 +00:34:11,490 --> 00:34:15,070 +الواقفة حصلة لما تكون واقفة تتطلع أنت وانفرغات + +453 +00:34:15,070 --> 00:34:18,310 +وبتضرب غيارات خط وبتمشي لكن لما تكون متحركة وانت + +454 +00:34:18,310 --> 00:34:21,770 +ماشي بتضرب في صيارة عينة بتنجف ستنام ولا لأ؟ + +455 +00:34:21,770 --> 00:34:27,410 +وبالتالي كل مكان السكان قليلين حركة وهم ال atoms + +456 +00:34:27,410 --> 00:34:31,690 +بيكون حركة الإلكيونات وبالتالي التيار أسفل ال + +457 +00:34:31,690 --> 00:34:36,700 +atoms ايش اللي بيخلي حركتهم تزيد؟ درجة الحرارةلأن + +458 +00:34:36,700 --> 00:34:39,220 +إذا كنت ذاكرين زمان حكينا في المادة، المادة ال + +459 +00:34:39,220 --> 00:34:44,560 +atoms هدول بيكونوش ساكتين عند كل ما زادت الحرارة، + +460 +00:34:44,560 --> 00:34:48,060 +بيهتزوا، بيعملوا حركة توفقية بسيطة، كل ما زادت + +461 +00:34:48,060 --> 00:34:52,310 +الحرارة هذه الحركة بتزيدعشان كده احنا قلنا simple + +462 +00:34:52,310 --> 00:34:56,330 +harmonic motion تُعطى كمثال لإن هنا أهميتها لإن + +463 +00:34:56,330 --> 00:34:59,470 +تركيبة دُول في المادة هي simple harmonic motion + +464 +00:34:59,470 --> 00:35:03,850 +درجة الحرارة تزيد من حركة ال atoms داخل المادة + +465 +00:35:03,850 --> 00:35:09,310 +وبالتالي بتخلل من إمكانية حركة الشحنات لما يكون في + +466 +00:35:09,310 --> 00:35:15,070 +عندى فرخ جذب فبالتاليدرجة الحرارة بتزود المقاومة + +467 +00:35:15,070 --> 00:35:19,110 +وعرفنا ليش يعني بتزود حركة ال atoms بيقول it is + +468 +00:35:19,110 --> 00:35:22,850 +found that resistivity increases with temperature + +469 +00:35:22,850 --> 00:35:27,070 +increases with temperature كم بالزيت أقل و ده + +470 +00:35:27,070 --> 00:35:31,890 +بقانون طبعا عكس اللي هو ال semiconductors في ال + +471 +00:35:31,890 --> 00:35:37,130 +semiconductor الحرارة بتزود ده التيار يعني بقلل + +472 +00:35:37,130 --> 00:35:41,240 +المقاومة ليه في ال semiconductor في مشكلةفي الـ + +473 +00:35:41,240 --> 00:35:45,320 +semiconductor بدك حرارة تنجو للإترون من الحزمة + +474 +00:35:45,320 --> 00:35:50,020 +التكافؤية للحزمة الموصلية أما في الـ conductors لأ + +475 +00:35:50,020 --> 00:35:52,840 +في ال conductors أصلا الإترونات موجودين في ال + +476 +00:35:52,840 --> 00:35:56,080 +convection band already موجودين فبالتالي يبنيهم + +477 +00:35:56,080 --> 00:36:00,500 +يتحركوا مابدهمش يكونوا السكان مشاغبين يكونوا + +478 +00:36:00,500 --> 00:36:04,040 +ساكتين كل ما داشت الحرارة جلت مش هنجول في الحرارة + +479 +00:36:04,270 --> 00:36:08,930 +بتزيد الحركة و في الشتاء الناس بتبص و بتظل ساكنة و + +480 +00:36:08,930 --> 00:36:12,130 +هذا بالكلام بنطبق على ال atoms فلما تكون تتحرك + +481 +00:36:12,130 --> 00:36:15,930 +قليلا بتظل تبصين قاعدين زواد الحرارة بتكتر حركتهم + +482 +00:36:15,930 --> 00:36:19,690 +وبالتالي بتزيد المقاومة طبعا الانلاق اللي وجدوها + +483 +00:36:19,690 --> 00:36:23,610 +كان رو اكوار رو نوت و one plus alpha T minus T نوت + +484 +00:36:23,610 --> 00:36:28,450 +هجدشي رو نوت جالي resistivity عن T نوت و الرو ده + +485 +00:36:28,450 --> 00:36:32,230 +resistivity ال T هذه Alpha ثابت يعتمد على المادة + +486 +00:36:32,230 --> 00:36:37,510 +بمعنى اخر استجابتالمادة ده الحرارة تختلف من نوع + +487 +00:36:37,510 --> 00:36:41,830 +لنوع وكل مادة إلها ألف خاصة بيها ثم تويه شفنة في + +488 +00:36:41,830 --> 00:36:44,050 +ال table و ال raw and raw not are the + +489 +00:36:44,050 --> 00:36:47,570 +resistivities of T and T not respectively + +490 +00:36:47,570 --> 00:36:51,330 +similarly it is found ده طبعا لو حط R و هنا R not + +491 +00:36:51,330 --> 00:36:55,970 +نفس القانون بطلعهو برضه ممكن نحل عليهم أمثلة لان + +492 +00:36:55,970 --> 00:37:00,150 +طبعا على اعتبارنا المثابتين فهذه القانون أو هذه + +493 +00:37:00,150 --> 00:37:03,890 +القانون بس بالدين المعلومة اللي بدنا إياها أنه إيش + +494 +00:37:03,890 --> 00:37:09,450 +بيصير في المقاومة مع درجة حرارة بالزيت دماغ هذا + +495 +00:37:09,450 --> 00:37:14,870 +اللي بدنا إياه طبعا المقاومة لال conductors الآن + +496 +00:37:14,870 --> 00:37:20,990 +موضوع شوية ببدأ من الموضوع الحسابية electric power + +497 +00:37:22,300 --> 00:37:26,340 +القدرة الكهربية هجيت شباب احنا القدرة أخدها + +498 +00:37:26,340 --> 00:37:32,360 +فيزياليف ولا لأ القدرة مين يذكرني فيها و على ايه + +499 +00:37:32,360 --> 00:37:38,800 +او الزمن ايام حاكينا وقتيش بصير مفهوم القدرة له + +500 +00:37:38,800 --> 00:37:44,620 +هنية لما يدخل الزمن وانا ضابط مثال فيزياليف اعيده + +501 +00:37:44,620 --> 00:37:49,370 +ويقول في عندي حمار وفي عندي حصان من أجلهالحصان + +502 +00:37:49,370 --> 00:37:53,350 +عارف ايه؟ الاتنين اللي قلناه محلته هدّلهم الاتنين + +503 +00:37:53,350 --> 00:37:56,390 +ممكن يحلتوا هدّلهم نقول الحمار أعمل شغل و الحصان + +504 +00:37:56,390 --> 00:37:59,030 +أعمل شغل و الاتنين نفس الشغل هذا عارف دلوم و هذا + +505 +00:37:59,030 --> 00:38:01,910 +عارف دلوم لكن الحصان لو أعمل ساعة لحمار كام ساعة + +506 +00:38:01,910 --> 00:38:06,350 +بيدوم؟ بدوام ممكن ندويه صح ولا لأ؟ عشان كده نقول + +507 +00:38:06,350 --> 00:38:11,750 +الحصان أنشط قدرته على تمام؟ اذا الوكتيش بيجي مفهوم + +508 +00:38:11,750 --> 00:38:14,950 +القدرة لما يدخل الزمن برضه تدينا مثال أقرب على + +509 +00:38:14,950 --> 00:38:18,440 +الكهرباهو ماتوري الميه اللى برفقلكم الميه فوق + +510 +00:38:18,440 --> 00:38:21,600 +البراميل فى عندنا احصان فى تلتة و فى احصان و نص و + +511 +00:38:21,600 --> 00:38:24,320 +فى تلت احصان صح او لا لأ حاجات ان تقولانكم برميل + +512 +00:38:24,320 --> 00:38:29,680 +فوق الف و خمس بيت لتر كوب و نص فى الآخر ابو الحصان + +513 +00:38:29,680 --> 00:38:33,840 +و ابو التلت احصان هيقبل هى البرميل تماما لأ الشغل + +514 +00:38:33,840 --> 00:38:37,940 +واحد لكن ليش انا بديب ابوه احصان و نص عشان بدي + +515 +00:38:37,940 --> 00:38:42,670 +أسرعمصبوط ان الميّه ما تجيش عشرة ساعات، بتجيها + +516 +00:38:42,670 --> 00:38:46,370 +ساعتين، بدنا نعديها البراميل و نخلص، بالتالي بنجيب + +517 +00:38:46,370 --> 00:38:52,770 +موتور قدرته أعلى، عشان يعمل نفس الشغل بزمن أقل، + +518 +00:38:52,770 --> 00:38:56,150 +اذا لما ندخل الزمن على الشغل، بيصير عندنا مفهوم + +519 +00:38:56,150 --> 00:39:03,510 +القدرة،طيب، الميّه بدأت تطلع فوق، هنا الشحنات بدأت + +520 +00:39:03,510 --> 00:39:09,150 +تطلع فوق،الشحنات بتتطلع فوق ففي تشابه اكبير بين + +521 +00:39:09,150 --> 00:39:13,910 +الميه والشحنات طيار ميه طيار شحنات قدرة البطارية + +522 +00:39:13,910 --> 00:39:17,230 +زي ما طول الميه عكالة البطارية زي النفورة ايامها + +523 +00:39:17,230 --> 00:39:21,230 +هي جت electric power طب ال power هناك كانت واحدة + +524 +00:39:21,230 --> 00:39:24,250 +اتهواطه هنا ايش بتكون واحدة اتهاطي برضه واط نفس + +525 +00:39:24,250 --> 00:39:27,650 +القضية بيقول ي consider the circuit shown in the + +526 +00:39:27,650 --> 00:39:32,780 +figure هاي الميه تبعتناحاجات احنا الميه بنعديها + +527 +00:39:32,780 --> 00:39:35,240 +فوق في البراميل بنخزنها و بنخليها جوا في البراميل + +528 +00:39:35,240 --> 00:39:39,420 +و خلاص ليش بنعديها في البراميل عشان بتنزلها عشان + +529 +00:39:39,420 --> 00:39:43,400 +تعود تنزل في المصورة تمام حاجات لما تفتحوا المصورة + +530 +00:39:43,400 --> 00:39:47,500 +بدكم مضطر ينزلها و لا تنزل لحالها تنزل لحالها + +531 +00:39:47,500 --> 00:39:50,920 +لأنهم ينقلي و بتنزل تحت انتم بدكم مضطروا ترلعها + +532 +00:39:50,920 --> 00:39:55,020 +فوق تمام فهو المطور الميه اللي بيطلحها فوق هو هذه + +533 +00:39:55,020 --> 00:39:58,980 +البطنية بيطلّها الميه من هنا لهنا هنا السالب و هنا + +534 +00:39:58,980 --> 00:40:03,400 +الموجب من واطل عاليباعد كده بعد ما تصل هنا لحالها + +535 +00:40:03,400 --> 00:40:06,340 +بتنزل فتحت المصورة نزلت طبعا مافيش ممكن هي تنزل + +536 +00:40:06,340 --> 00:40:11,260 +هيك هي تنزل الطريق تاني لأنه هنا بطلع بس فتنزل هان + +537 +00:40:11,260 --> 00:40:14,800 +ايش بيصير الشباب ان الشحنات وهي ناش هنا ناش من + +538 +00:40:14,800 --> 00:40:19,420 +هالهان بتكتسب طاقة ايش اللي خلال الميانين تنزل + +539 +00:40:19,420 --> 00:40:23,980 +طاقة الوضع تبعتها نزلتها اذا ال motor كسبها طاقة + +540 +00:40:24,460 --> 00:40:28,880 +نظبط بهذه الطاقة واتحولت لطاقة حركة وصارت عندي + +541 +00:40:28,880 --> 00:40:33,220 +فتحة مسئولة وديتني مية وإيها سرعة مش بسيطة مرات + +542 +00:40:33,220 --> 00:40:39,120 +بتكون، بيقوللي هي تياري أناطبعا على اتفاقنات تيارة + +543 +00:40:39,120 --> 00:40:44,060 +و شعارات الموجة بقى بيقول a positive charge dq + +544 +00:40:44,060 --> 00:40:49,800 +will gain potential هتكتسب طاقة لما تطلع from + +545 +00:40:49,800 --> 00:40:53,420 +point A to point B through the battery لأنه من + +546 +00:40:53,420 --> 00:40:57,900 +الواطل الآلي من A لB مش A سلبة و B موجبة في + +547 +00:40:57,900 --> 00:41:01,490 +البطارية زي لما هادي بتطلعهااكتسبت طاقة ولا ما + +548 +00:41:01,490 --> 00:41:05,530 +اكتسبتش طاقة؟ اكتسبت طاقة والطاقة هتتخزنها تفلتها + +549 +00:41:05,530 --> 00:41:09,950 +تفقدها تعاود تتحول لطاقة حركة زي الميه طلعت انا + +550 +00:41:09,950 --> 00:41:14,050 +الميه فوق الميه صار فيها عندها طاقة واضح افتح + +551 +00:41:14,050 --> 00:41:18,210 +المصورة بتنزل الميه وتتحول طاقة الوضع لطاقة حركة + +552 +00:41:18,210 --> 00:41:22,870 +تقولني هام وهي طالعة الميه ما بتطلعها طلعت لحالها + +553 +00:41:22,870 --> 00:41:26,730 +ولا بطارية طلعتها؟المطور اللي هو البطارية البطارية + +554 +00:41:26,730 --> 00:41:32,110 +طلعتها. اذا هذه طلعت بفعل قوة خارجية. والقوة + +555 +00:41:32,110 --> 00:41:35,730 +الخارجية هي البطارية. اذا صار في شغل انبدل. هذا + +556 +00:41:35,730 --> 00:41:39,430 +الشغل اللي تخزن جوه عليه الطاقة. فاكتسب الطاقة. طب + +557 +00:41:39,430 --> 00:41:40,190 +هذه الطاقة + +558 +00:41:42,960 --> 00:41:54,340 +نفس الهواء يخسر نفس الهواء نفس الهواء يخسر + +559 +00:41:54,340 --> 00:41:57,940 +نفس الهواء نفس الهواء نفس الهواء نفس الهواء نفس + +560 +00:41:57,940 --> 00:42:01,730 +الهواء نفس الهواء نفس الهواءاذا هذا الانزول شباب + +561 +00:42:01,730 --> 00:42:06,470 +انزول طبيعي اما المش طبيعي انها تطلع من A لB وهذه + +562 +00:42:06,470 --> 00:42:09,210 +المش طبيعي من ساعة ده هي بطارية هي شغلت البطارية + +563 +00:42:09,210 --> 00:42:13,810 +وعكينا زمان انه البطارية شغلتها تدفع الشحنات من + +564 +00:42:13,810 --> 00:42:17,350 +واطي للعالي هي شغلتها تدفع الشحنات من واطي للعالي + +565 +00:42:17,350 --> 00:42:21,290 +ومن عالي لواطي بعدين الشحنات تنزل لحالة بفعل قوة + +566 +00:42:21,290 --> 00:42:25,310 +الجذب والتنافر الطبيعية تمام طيب كيف بيجي أحسبها + +567 +00:42:25,310 --> 00:42:29,850 +ده اللي سهلالـ potential energy بقدر أجيبها إما هي + +568 +00:42:29,850 --> 00:42:32,390 +عبارة عن الشغل و الشغل بالسواء الشحن المنقولة في + +569 +00:42:32,390 --> 00:42:35,530 +فرق الجهود و فرق الجهود هيني بعرفه فرق الجهود تبع + +570 +00:42:35,530 --> 00:42:39,510 +البطارية أو بقول إن دلت ايو بالسواء Q في دلت ايو + +571 +00:42:39,510 --> 00:42:44,760 +كله بقدر أجيبها تمامthis amount is given by .. كيف + +572 +00:42:44,760 --> 00:42:49,040 +بيجيب هذا الشحن الطاقة؟ بقول دي U بتساوي Q .. دي Q + +573 +00:42:49,040 --> 00:42:53,900 +الشحن المنجولة في فرق الجهد دي QV طبعا هذه إبسلون + +574 +00:42:53,900 --> 00:42:57,240 +إليها مفهوم عدا ما نشوفه هذا بتمثل قوة دافعة + +575 +00:42:57,240 --> 00:43:01,700 +كهربية عدا ما نشرح عنه هو نفسه فرق الجهد يعنيDQ في + +576 +00:43:01,700 --> 00:43:05,440 +V قال لي خلاص هاي الطاقة اللي اكتسبتها و اللي + +577 +00:43:05,440 --> 00:43:09,760 +فقدتها حلو اتفاق ما تقول ال power ايش علاقة معاش + +578 +00:43:09,760 --> 00:43:14,540 +مع الزمن حكى زميلكم ان ال power بيساوي شغل على زمن + +579 +00:43:14,540 --> 00:43:20,900 +او DU على DT بقول ال power بيساوي DU على DT وهي DU + +580 +00:43:20,900 --> 00:43:24,860 +طلعتها طبعا بيعملها ده ال DQ على DT في V فرق + +581 +00:43:24,860 --> 00:43:31,520 +الجهود الثابت ايش هذي هاي الطيار اذا هاي ال powerI + +582 +00:43:31,520 --> 00:43:42,020 +V V I V V I V + +583 +00:43:42,020 --> 00:43:48,980 +V I V V I V V I + +584 +00:43:48,980 --> 00:43:55,040 +V V I V V I V V I V V I V V I V V I V V I V V I V + +585 +00:43:55,040 --> 00:43:55,080 +V I V V I V V I V V I V V I V V I V V I V V I V V + +586 +00:43:55,080 --> 00:43:55,180 +I V V I V V I V V I V V I V V I V V I V V I V V I + +587 +00:43:55,180 --> 00:43:58,090 +I V V I V V I Vايش الوحدة اللي بتكون موجودة؟ كم + +588 +00:43:58,090 --> 00:44:03,230 +كيلو منجول سحدنا صح؟ بس بتكون كيلو ولا كيلو واط؟ + +589 +00:44:03,230 --> 00:44:09,750 +كيلو واط ساعة كيلو واط hour بيكون في الفاتورة + +590 +00:44:09,750 --> 00:44:17,750 +مقدار السحب نفر ال 300 كيلو واط شرطة hour بلا 300، + +591 +00:44:17,750 --> 00:44:24,300 +ده بيت كبير، خليها 200 200 كيلو واط hourمتين كيلو + +592 +00:44:24,300 --> 00:44:28,760 +واط .. عشان .. طيب كام بدنا نضربها؟ ليه ليه تلك + +593 +00:44:28,760 --> 00:44:33,480 +الكهربارية؟ الـ 0.6 حوالي ست أجورات أجل من شكل + +594 +00:44:33,480 --> 00:44:36,340 +أكتر من نص شكل طب بيطلع ليه بديهش مائة و عشرين + +595 +00:44:36,340 --> 00:44:39,800 +شكل؟ حاجة اللي بيسحب متين بديه يدفع كل شهر مائة و + +596 +00:44:39,800 --> 00:44:46,480 +عشرين شكل؟ اذا طيب هذه الوحدة وحدة أيش؟ هي القدرة + +597 +00:44:46,480 --> 00:44:52,620 +القدرة وقت خشي الزمن تلقوا يا شباب هي قدرة وهي زمن + +598 +00:44:52,620 --> 00:44:59,460 +ايش بالدينة؟يول energy إذا هذه وحدة energy إذا أنا + +599 +00:44:59,460 --> 00:45:05,280 +بديني أكمل جداش طاقة كهربية سحبت في الشهر تمام؟ + +600 +00:45:05,280 --> 00:45:08,660 +حاجات كيف بدي أحسبها؟ أنا كيف العداد بيشتغل؟ هل + +601 +00:45:08,660 --> 00:45:13,280 +العداد بيجري لما أفتح الكمبيوتر زي بما بيجري لما + +602 +00:45:13,280 --> 00:45:19,520 +بدي أشغل أطمر؟ لأ إذا إيه الأفراج؟ بقولوا قدرك هي + +603 +00:45:19,520 --> 00:45:24,070 +بتلعب دورالقدرة هي اللي بتلعب دوره عشان كده كل + +604 +00:45:24,070 --> 00:45:28,870 +جهاز كهربائي بيكون مكتوب عليه القدرة ولا لأ ليش؟ + +605 +00:45:28,870 --> 00:45:31,750 +هم بيقولك عشان نسبون يعرف انه الكهربا يبدو يدفع + +606 +00:45:31,750 --> 00:45:36,110 +أخر الشهرة جديش لازم يعمل إحساباته تمام؟ احنا + +607 +00:45:36,110 --> 00:45:40,510 +بتفرجش معانا تمام؟ في كل جهاز بتحيط حتى اللابتوب + +608 +00:45:40,510 --> 00:45:46,270 +اللي لازم يكون في مكان ما بيكون كاتب جديش القدرة + +609 +00:45:46,270 --> 00:45:49,890 +طبعته أي إن كان الجهاز حتى الجوال تبعك بيكون مكتوب + +610 +00:45:49,890 --> 00:45:54,250 +عليهطبعا باعرفش انت عمكم سنس على اجهزة اللي في + +611 +00:45:54,250 --> 00:45:59,050 +داركم ولا لأ جديش ال watt تبعتها منى ادينى المثال + +612 +00:45:59,050 --> 00:46:07,210 +اش اللى .. خلنا نقول المكوية المكوية جديش طبعا + +613 +00:46:07,210 --> 00:46:13,280 +المكوية جديش المكويةالمكوية اللى عندك هيك كتير + +614 +00:46:13,280 --> 00:46:16,760 +يعتبر انا بعرف يعني المكوية اللى كبيرة فى 900 + +615 +00:46:16,760 --> 00:46:20,920 +تقريبا 900 ألف ألف و متين بكل عامة طبعا الأنواع + +616 +00:46:20,920 --> 00:46:24,300 +بتختلف شباب ممكن يكون بس على الأقل اللى أنا عندي + +617 +00:46:24,300 --> 00:46:29,940 +900 تماما يمكن الحياة حسب الأنواع اللى موجودة + +618 +00:46:29,940 --> 00:46:34,340 +المكوية برضه بتختلفالمكوية العادية غير عن المكوية + +619 +00:46:34,340 --> 00:46:37,320 +البخار البخار ممكن تطلع من الف و اربعمية و تطلع + +620 +00:46:37,320 --> 00:46:41,760 +لحد ممكن الف و تمانية بتوصل لكن المكوية العادية مش + +621 +00:46:41,760 --> 00:46:44,880 +على البخار اقل من الف ممكن توصل تمانية سبعمية و + +622 +00:46:44,880 --> 00:46:49,800 +خمسين لكن اكتر دي هاد ممكن في الضرب يه تندير في + +623 +00:46:49,800 --> 00:46:54,220 +البخار خمس مش كتير الف و خمسميةأه في أقعد منها + +624 +00:46:54,220 --> 00:46:59,340 +الشافر بتسخن فيه الميه عشان تعمل الشاي عاققاته ألف + +625 +00:46:59,340 --> 00:47:07,960 +أو ألفين بحدود ألفين ألفين ال boiler انا ممكن انا + +626 +00:47:07,960 --> 00:47:11,840 +افتقدهش ال boiler تبع الميه السخان هذا حد بيوصل + +627 +00:47:11,840 --> 00:47:16,340 +تلت الف و خمسمية و ممكن يوصل خمس تلفطبعا الأطمر + +628 +00:47:16,340 --> 00:47:19,580 +اقراه على الأطمر اللى عنده أطمر هيلاجى فيه زرار + +629 +00:47:19,580 --> 00:47:22,740 +تاتي زرار ماهو احد اتنين تلاتة بيكون مكتوب لك كل + +630 +00:47:22,740 --> 00:47:27,140 +زر قداش ال power تبعته بيوصل ل 3500 شباب ع تلاتة + +631 +00:47:27,140 --> 00:47:34,220 +3500 التلاجة هو اكثر جهاز بيسحب في الدار لكن هو + +632 +00:47:34,220 --> 00:47:39,650 +الف تقريبا لكن ايش مشكلته شغالة 24 ساعةغير عن ال + +633 +00:47:39,650 --> 00:47:42,410 +boiler او الاطمر الاطمر الواحد بيشغله مكسما مربع + +634 +00:47:42,410 --> 00:47:45,870 +ساعة و بطفيه المكوية بيشغلها نص ساعة و بطفيها لكن + +635 +00:47:45,870 --> 00:47:49,350 +التلاجة بيبقى شغالة وين كان التلمستات بيوفر كتير + +636 +00:47:49,350 --> 00:47:53,190 +انه عشان كده بيقولوا توصي لما تفتح باب التلاجة + +637 +00:47:53,190 --> 00:47:56,610 +ماتخليوش الأولاد الصغار يلعبوا فيها لان كل ما فتحت + +638 +00:47:56,610 --> 00:48:00,590 +التلاجة كل ما راحت الحرارة وبالتالي تلزم تشغيل + +639 +00:48:01,830 --> 00:48:04,650 +الشغلة اللى بدنا نكملها للشباب شغلة تانية برضه + +640 +00:48:04,650 --> 00:48:08,770 +معلومة عامة الأمنات اللى برا بتعرفوها قبل انكم + +641 +00:48:08,770 --> 00:48:12,490 +تطلعتوا عليها كلهم زى بعض ايش في ميلي ميجوليش + +642 +00:48:12,490 --> 00:48:18,370 +مكتوب عليها 16 ايش امبير في 16 امبير وفي 8 امبير + +643 +00:48:18,370 --> 00:48:22,070 +او 10 امبير العشرة امبير شباب بيعطوها بس للإنارة + +644 +00:48:23,210 --> 00:48:26,210 +والدار بيجسموها ما بين إنارة ما بين بريزات قوة + +645 +00:48:26,210 --> 00:48:29,970 +لبريزات قبل الحاجة بيعملوها 16 امبير طبعا المفروض + +646 +00:48:29,970 --> 00:48:34,530 +يكون فيه أكتر مرات لما تيجي انت تحط boiler واحد + +647 +00:48:34,530 --> 00:48:37,750 +بيغيرلك الأمان بيجيبك واحد اكتر من 16 امبير بيشتغل + +648 +00:48:37,750 --> 00:48:43,350 +عليها هذه القائدة power بيسوي I في V إذا ماقدر + +649 +00:48:43,350 --> 00:48:48,150 +أقول I بيسوي ال power على V مظبوط شباب؟ اتطلعوا + +650 +00:48:48,150 --> 00:48:53,730 +كدش هذي؟هذه 223 دقيقة وهذه 229 دقيقة على اعتبار + +651 +00:48:53,730 --> 00:49:00,230 +229 دقيقة نجي نشوف خلاني اقول في المطبخ في boiler + +652 +00:49:00,230 --> 00:49:07,770 +بحتوت ونقول ال boiler 3500 دقيقة نشوف التيار إذا + +653 +00:49:07,770 --> 00:49:15,690 +فجوز ال 16 أمبير بنزل الأمان هذا هتلاقي 3522 دقيقة + +654 +00:49:15,690 --> 00:49:21,010 +ما أعرف كم تطلع يمكن حوالي 15 دقيقة تقريبااحسبها، + +655 +00:49:21,010 --> 00:49:25,010 +مين معاها كان كلتها؟ تلات تلاف و خمسمية على ماتين + +656 +00:49:25,010 --> 00:49:28,490 +و عشرين، اه اعطا اي جوال قلتك، انا جيت و بيتذمرش + +657 +00:49:28,490 --> 00:49:28,990 +ان كان كلتها + +658 +00:49:35,320 --> 00:49:40,380 +لو التلاجة شغالة بيصير فيه بيفصل لو تلجة نفس + +659 +00:49:40,380 --> 00:49:44,380 +المطبخ عادى كده في المطبخ بحاجة كهربائية يعملوا + +660 +00:49:44,380 --> 00:49:48,560 +توزيع انه مش كل الابريز في المطبخ تكون على نفس + +661 +00:49:48,560 --> 00:49:52,800 +الأنبعاد وإلا لو انا على نفس الابريز حاطيت تلاجة + +662 +00:49:52,800 --> 00:49:57,350 +وحاطيت مثلر وحاطيت نفس ال boiler هينزلمش بتحملش + +663 +00:49:57,350 --> 00:50:03,250 +لإنه فوق ال 16 مين ينزل مرة ما هو بيعملوها أمان + +664 +00:50:03,250 --> 00:50:06,350 +أكتر لكن هو لما يحطوا 16 أمبير معناته maximum + +665 +00:50:06,350 --> 00:50:11,330 +تبعته 16 أمبير هي هيك مصنوعة طبعا انتوا عارفين انه + +666 +00:50:11,330 --> 00:50:15,450 +ليش هيك عاملينه؟ بيقولك إذا علق ومانزلش الأمان + +667 +00:50:15,450 --> 00:50:19,910 +بالسلوك اللي جوا الحيطان بتسيحو هيت عاد تطلعها + +668 +00:50:19,910 --> 00:50:23,710 +ممكن بيبقى تهيت كل وقتها عشان تعمل مشكلة تمام او + +669 +00:50:23,710 --> 00:50:26,190 +ممكن تصيب طبعا حريقة او حاجة زي ذلك فلأ اما لا + +670 +00:50:26,190 --> 00:50:29,490 +تجهت لهذه القضية طبعا تتعرفوا برضه ان احيان + +671 +00:50:29,490 --> 00:50:32,690 +الابريز اللي محمل عليه شغلات بيها بسيح صح ولا لأ + +672 +00:50:32,690 --> 00:50:36,530 +فهذه السيحة اللي ممكن تكون في السلك لجوهتمام؟ + +673 +00:50:36,530 --> 00:50:39,470 +وعادى والله بسيح يعنى في النهاية ده اذا انت محمل + +674 +00:50:39,470 --> 00:50:43,650 +عليه شغلات كتيرة بسيح خصوصا امور التفخيل ال .. ال + +675 +00:50:43,650 --> 00:50:47,150 +atmos و ال .. و ال boilers و .. و فرن الكعبة و + +676 +00:50:47,150 --> 00:50:51,590 +السخان حد شغلات كتيرة طبعا ممكن واحد بيستخدم ممكن + +677 +00:50:51,590 --> 00:50:57,020 +المكيف بفكره بصحى بكتير لكن هو الف مش اكتريعني زي + +678 +00:50:57,020 --> 00:51:00,680 +.. زي أقل من مكوية بس مش شغاليش كتير مرات .. يعني + +679 +00:51:00,680 --> 00:51:04,120 +احنا في بلادنا مش شغاليش كتير في الصعودية و في + +680 +00:51:04,120 --> 00:51:07,660 +بلاد الخليج ب .. بتفيش هي هذه النقطة بس احنا في + +681 +00:51:07,660 --> 00:51:12,300 +النهاية مهما اتشوج تشغله شهر ولا شهرين و بس هناك + +682 +00:51:12,300 --> 00:51:15,980 +انا مرة روحت شهر واحد في جدا كانوا مش شغالين + +683 +00:51:15,980 --> 00:51:19,080 +المكاير شهر واحد الحين انا انا اربعانية كنا مش + +684 +00:51:19,080 --> 00:51:23,880 +شغالين المكاير فالجو مختلف من منطقة لمنطقة تمام + +685 +00:51:26,250 --> 00:51:29,330 +إذا احنا الفاتورة تبعتنا طبعا تحصد بناء على ذلك + +686 +00:51:29,330 --> 00:51:34,230 +طبعا برضه عشان نيجي نتصور احنا كيف نسحب و هم + +687 +00:51:34,230 --> 00:51:38,190 +بيقولوا كام جيجا بيزا من غزة و جديش احنا بنسحب و + +688 +00:51:38,190 --> 00:51:41,690 +عشان كده مش يمكفينا و روحنا أركاننا على حالنا و + +689 +00:51:41,690 --> 00:51:45,250 +طلعنا مش نافعين في الأخر مكاننا بدون محطة كنا + +690 +00:51:45,250 --> 00:51:49,170 +عايشين زمانلما عملنا محطة طولها مش عارفين نجيب لها + +691 +00:51:49,170 --> 00:51:55,130 +صلاة عشان نشغلها و نفصل الأمور على كل حوال بتصير + +692 +00:51:55,130 --> 00:51:59,790 +عملية السحب بناء على الأجهزة اللي مش شغلة مره كان + +693 +00:51:59,790 --> 00:52:03,050 +عندي واحد في .. من محطة الكهربا بيقول من بعض + +694 +00:52:03,050 --> 00:52:06,330 +الأفكار اللي قاعدين يفكر فيها انه نصير نعطي بدل ما + +695 +00:52:06,330 --> 00:52:11,610 +نطفي completely على منطقة نعطيهم أنبير بسيط يشغل + +696 +00:52:11,610 --> 00:52:14,750 +بس إنارة ممكن هو العادى فكرة جيدة اذا كانوا يعرفوا + +697 +00:52:14,750 --> 00:52:19,300 +يطبقوهايعني بمعنى اخر انه يخلوا مثلا ست ساعات فقط + +698 +00:52:19,300 --> 00:52:24,580 +في النهار يعطوا كهربا كاملة تشغل بدكية و باقى + +699 +00:52:24,580 --> 00:52:27,160 +النهار بعد ما تكون طافة يدك انهارة تشغل انهارة و + +700 +00:52:27,160 --> 00:52:31,480 +تشغل تلفزيون تدرس و تعمل quiz و كل حاجة + +701 +00:52:33,870 --> 00:52:39,470 +فهذه من أفكار جديدة لأنه كل ما زودت أنت السحب + +702 +00:52:39,470 --> 00:52:46,170 +بزيدي الحمل على المحطة بيبطل اتكفي الشجرة ومشكلتنا + +703 +00:52:46,170 --> 00:52:49,330 +أننا فينا نسبة كبيرة بتتفعش + +704 +00:52:51,710 --> 00:52:56,190 +وهذه مشكلة ومشكلة كبيرة وانا بعتبرها مسئولية لأ + +705 +00:52:56,190 --> 00:52:59,130 +المفروض ان حل يعنى في النهاية بدنا نفرخ ما بين ان + +706 +00:52:59,130 --> 00:53:04,370 +واحد بقدرش يدفع وواحد يدفع اللي بقدرش يدفع المفروض + +707 +00:53:04,370 --> 00:53:08,430 +كله حل يعنى في النهاية بس برضه اللي بقدرش يدفع أنا + +708 +00:53:08,430 --> 00:53:13,370 +اللي بقدر أدفع أصحب 200 هو عشان مش بقدرش يصحب ألف + +709 +00:53:13,370 --> 00:53:17,330 +والخمسمية ليش لأنه مبدأ اللي بلاش كتر منه بالنهاية + +710 +00:53:17,330 --> 00:53:22,590 +بصير يطبخ على الكعبةوبيشغّل الدفايات في كل دار + +711 +00:53:22,590 --> 00:53:26,030 +طالع منها نازل منها و بيدفعش بتفرد جسمهم غير لو + +712 +00:53:26,030 --> 00:53:30,630 +واحد لما يكون بدفع فتدفع الغربية لإن الكهربا كيف + +713 +00:53:30,630 --> 00:53:35,050 +هي معمولة كروت كروت زي كارت جوال فتحطها الكهربا + +714 +00:53:35,050 --> 00:53:38,310 +خلصتها فتحط عليك الكهربا و بالتالي .. اه .. + +715 +00:53:38,310 --> 00:53:43,150 +بالتالي ..أو يعني بتخلصي زي جوال مابديك مرات رصيد + +716 +00:53:43,150 --> 00:53:47,030 +لو بتخلص كرتك، يحط الكارت يقولك بالسالم بديك كام + +717 +00:53:47,030 --> 00:53:51,770 +شكل و بياخدها بعدين، فبيصير زي .. فهذه .. هذه + +718 +00:53:51,770 --> 00:53:56,850 +جيدة، هذه فكرة طبقات تلفها معناها غزة، تعرفوا ان + +719 +00:53:56,850 --> 00:54:01,750 +لو انه احنا بس كل الناس بتدفع وبالتالي بتقلل في + +720 +00:54:01,750 --> 00:54:05,380 +استخدام القهر وبعد كده مافيش احنا مشكلة؟كان + +721 +00:54:05,380 --> 00:54:08,400 +المشكلة .. مش في حقيقة تجينا ست ساعات، بيكون كتير، + +722 +00:54:08,400 --> 00:54:11,680 +لأن لو في عنا مشكلة يعني في عاملة مقارنة ما بين + +723 +00:54:11,680 --> 00:54:15,300 +واحد واتنين نفس المستوى، واحد بيدفع واحد بيدفعش، + +724 +00:54:15,300 --> 00:54:19,140 +لقوا اللي بيدفعش بيصحب أضعاف اللي بيدفع، و هو نفس + +725 +00:54:19,140 --> 00:54:23,700 +المستوى، مجرد مبدأ اللي بيبقى أكتر منه، بس + +726 +00:54:26,510 --> 00:54:30,550 +تمام طبعا زي ما حكينا القانونين التانيين بهذا + +727 +00:54:30,550 --> 00:54:34,290 +الشكل خليني أشوف مثال عنها الخضية بيقول you are + +728 +00:54:34,290 --> 00:54:37,470 +given an electric heater electric heater اللي هو + +729 +00:54:37,470 --> 00:54:41,510 +تبع الشال made of mecaum weight of resistance 8 + +730 +00:54:41,510 --> 00:54:45,700 +ohmFind the current carried by the wire and the + +731 +00:54:45,700 --> 00:54:50,120 +wire of the heater if it is connected to a 120 + +732 +00:54:50,120 --> 00:54:54,440 +volt source شباب 120 volt هدف الأمريكا كل الكعبة + +733 +00:54:54,440 --> 00:54:58,720 +عندهم 120 volt و أعتقد في أستراليا كمان و في كندا + +734 +00:54:58,720 --> 00:55:03,280 +.. لأ أوروبا كلهم زينا أوروبا كلها زينا احنا + +735 +00:55:03,280 --> 00:55:06,780 +مرتبطين بأوروبا في أكتر من شغل يعني فالولتية تبعت + +736 +00:55:06,780 --> 00:55:12,680 +أوروبا 220 بسالنوعية اللى وقت أوروبا ما هو الأبريز + +737 +00:55:12,680 --> 00:55:15,820 +انتها قبل عشرين سنة اختلفت عنها كل فرح بظهروا بس + +738 +00:55:15,820 --> 00:55:18,400 +التكنولوجيا عندهم كانت تتصرف قبل ومكانت تصيب زيهم + +739 +00:55:18,400 --> 00:55:21,520 +فاختلفت يعني ماعرفت فاج الأبريز تحت ماعرفت أعلى + +740 +00:55:21,520 --> 00:55:25,540 +حسب الموبايل مرة نفس القضية فالأبريز هذه مجرد مضلة + +741 +00:55:25,540 --> 00:55:29,340 +يعني مش أكتر زمان ماكنتش هيك كانت أبسط من هيك + +742 +00:55:29,340 --> 00:55:35,010 +بكتير انتوا مالاحقتيوه زمانسيليشن طبعا هذه أسئلة + +743 +00:55:35,010 --> 00:55:38,890 +بسيطة جدا ان هو قوانين انبير عندك ال volt ثابت 120 + +744 +00:55:38,890 --> 00:55:41,610 +volt عشان كده الأجهزة اللي جاي من أمريكا لازم + +745 +00:55:41,610 --> 00:55:45,730 +يصيحها adaptation تتغير لان انا عندي 220 volt على + +746 +00:55:45,730 --> 00:55:49,130 +ارماطين مياه بتساوي خمس سنوات طبعا 15 انبير معناته + +747 +00:55:49,130 --> 00:55:54,690 +أماني ب10 انبير بفسي مظبوط ولا لأ زي هاي تقريبا هم + +748 +00:55:54,690 --> 00:55:57,770 +الصيابين عندهم لازم الامان يكون اكتر من 15 انبير + +749 +00:55:57,770 --> 00:56:03,790 +عشان يشتغل هذا ال heaterده هو بقى في الجيبة 1.8 + +750 +00:56:03,790 --> 00:56:07,470 +كيلو واط يعني + +751 +00:56:07,470 --> 00:56:11,330 +زي الثخان بالظبط اللي حكى عنه زميركم انه 1800 او + +752 +00:56:11,330 --> 00:56:18,670 +2000 بهذه الحدود بحسب كل أنواع معينة تماماخر هذا + +753 +00:56:18,670 --> 00:56:21,630 +ال section جابه من الشطر اللي وراها بس عساس انه + +754 +00:56:21,630 --> 00:56:25,450 +يعمل شطر محلز يكون فيه quiz محلز في هذا الموضوع + +755 +00:56:25,450 --> 00:56:28,530 +فهذه electromagnetic force ده من الشطر اللي وراها + +756 +00:56:28,530 --> 00:56:32,950 +شطر 28 electromagnetic force يا باب قوة دافعة + +757 +00:56:32,950 --> 00:56:39,160 +كهربية طبعا المفهوم في البداية قوة وقالتها نيوتنهي + +758 +00:56:39,160 --> 00:56:42,840 +هنا بتناقض المفهوم العلمى ل Electromotive force + +759 +00:56:42,840 --> 00:56:47,060 +هذه شباب محددها ال word نفس العملية فكلمة + +760 +00:56:47,060 --> 00:56:50,480 +Electromotive force اجت عشان عملية دفع الشحنات من + +761 +00:56:50,480 --> 00:56:53,500 +واطر اعلى فهي كلمة Electromotive force + +762 +00:56:57,300 --> 00:57:02,360 +Consider a circuit shown where a battery of + +763 +00:57:02,360 --> 00:57:05,420 +internal resistance R is connected to a load + +764 +00:57:05,420 --> 00:57:06,660 +resistant capital R + +765 +00:57:14,730 --> 00:57:18,150 +خلّيني أقول هي بطارية مسكّرة، هي الصندوق، عندي هي + +766 +00:57:18,150 --> 00:57:22,270 +قطب وهي قطب، هذا قطب محصمه موجد، وهذا قطب سالق، + +767 +00:57:22,270 --> 00:57:28,130 +جوا غالبا في مقاومة داخلية، احنا قالنا رمزيا، + +768 +00:57:28,130 --> 00:57:32,000 +ننظرها ب Small R، عشانها صغيرة بتكونوهي عطلها بقول + +769 +00:57:32,000 --> 00:57:38,080 +هذه بطاريتك تمام بدي أوصلها الجهاز الجهاز عبارة عن + +770 +00:57:38,080 --> 00:57:43,360 +مقارنة بيسموه load الحمل اي جهاز اذا كان كمبيوتر + +771 +00:57:43,360 --> 00:57:47,920 +ولا دفاية ولا ميكوايا ولا اي حاجة load resistance + +772 +00:57:47,920 --> 00:57:55,300 +هاي ال load resistance وصلتها تمام بقول الآن a + +773 +00:57:55,300 --> 00:57:57,900 +current will be set in the resistors in the + +774 +00:57:57,900 --> 00:58:01,570 +direction shown هاي الطيارةطبعا من الجهد الأعلى + +775 +00:58:01,570 --> 00:58:04,790 +إلى جهد الأوطة احنا عارفين هاي الجهد الأعلى لأن + +776 +00:58:04,790 --> 00:58:08,010 +هذا موجب هنا جهد الأعلى وهذا جهد الأقل بدي يمشي + +777 +00:58:08,010 --> 00:58:12,470 +الطيار هيك بهذا الشكل عشان كده بيقول من قطب الموجب + +778 +00:58:12,470 --> 00:58:15,690 +للبطارية لقطب السالب من الجهد الأعلى إلى جهد + +779 +00:58:15,690 --> 00:58:20,520 +الأوطةبُلّت بيتشاريز موفي through the resistor + +780 +00:58:20,520 --> 00:58:25,160 +from B to A due to the higher potential at B + +781 +00:58:25,160 --> 00:58:28,480 +relative to A هذه شغلة طبيعية بقول هذه حركة عادية + +782 +00:58:28,480 --> 00:58:32,820 +حركة زي أنزل الميه من فوق لتحت تنزل الميه قاعدة + +783 +00:58:32,820 --> 00:58:38,040 +عادي من العالي للواطي ماعندي أي مشكلة تمام طيب + +784 +00:58:38,040 --> 00:58:41,520 +المشكلة زي ما حكينا مين اللي بده يرفع الشحنات من A + +785 +00:58:41,520 --> 00:58:48,250 +لB جوا البطارية بده دافع بده قوة دافعةبيقول لي for + +786 +00:58:48,250 --> 00:58:51,850 +the current to circulate عشان يكمل to circulate + +787 +00:58:51,850 --> 00:58:56,870 +around a closed circuit the charge must jump from + +788 +00:58:56,870 --> 00:59:00,590 +point A to point B بديو نط بديو اطلع من واطي لعالي + +789 +00:59:00,590 --> 00:59:04,670 +must jump from A to B through the battery اذا انا + +790 +00:59:04,670 --> 00:59:09,390 +ازاي برضه حكينا عن البطارية عن النفورة انا المادة + +791 +00:59:09,390 --> 00:59:13,230 +تنزل لكن ايش بيطلع حفوج بيطنط بدي حد ينطط اه من + +792 +00:59:13,230 --> 00:59:19,370 +واطي لعالي must jumpهذه الحركة بدي حد يعملها + +793 +00:59:19,370 --> 00:59:27,030 +تنعملش صورة طبيعية تمام بيقول لي this means that + +794 +00:59:27,030 --> 00:59:33,150 +we need a device that capable of pumping يعني الضخ + +795 +00:59:33,150 --> 00:59:37,630 +اتشارج from lower potential to higher potential هي + +796 +00:59:37,630 --> 00:59:44,790 +عملية الضخ تكون هذا الاتجاههذه القوة رمزة capital + +797 +00:59:44,790 --> 00:59:51,490 +Epsilon عملية ضخ قوة دافعة كحربية بالرغم إنها قوة + +798 +00:59:51,490 --> 00:59:55,730 +لكن هي وحدتها جهود عندنا سوء لكن المفهوم تبعها قوة + +799 +00:59:55,730 --> 00:59:59,850 +دافع إن أنا بدي أدفع الشحنات من الواطن للعالي من + +800 +00:59:59,850 --> 01:00:04,310 +الأقل جهود للأعلى جهود عشان كده بيقول قوة دافعة + +801 +01:00:04,310 --> 01:00:07,570 +كحربية دايما من القوة من خط السائق إلى خط الموجد + +802 +01:00:07,570 --> 01:00:10,990 +بالواطن للعالي لإني أدفع من الواطن للعاليهذه شمال + +803 +01:00:10,990 --> 01:00:15,570 +البطارية وهذه الخاصية بيسموها القنوة الدافعة + +804 +01:00:15,570 --> 01:00:21,710 +الكهربية للبطارية هنا عشوائية الـ function of such + +805 +01:00:21,710 --> 01:00:28,610 +a device is called electromotive force هو دافعة + +806 +01:00:28,610 --> 01:00:35,170 +كهربية تمام؟ دفعة كهرباية abbreviated E MFH تختصر + +807 +01:00:35,170 --> 01:00:42,080 +electromotive forceEMF تمام and denoted by the + +808 +01:00:42,080 --> 01:00:46,040 +symbol capital Y ورمزة capital Y ايش واحدتها vote + +809 +01:00:46,040 --> 01:00:49,480 +the battery and the generator are common in + +810 +01:00:49,480 --> 01:00:52,520 +devices طبعا البطاريات و المطور خلنا نقول ال + +811 +01:00:52,520 --> 01:00:56,540 +generator اللي في دوركم لما تقطع الكعبةهذا بيعمل + +812 +01:00:56,540 --> 01:01:00,520 +فرق جهود و بيصير فيه عندك طيارة و بيه كل الضعف + +813 +01:01:00,520 --> 01:01:04,300 +تمام؟ اذا ال generator ويه؟ طبعا ال generator ما + +814 +01:01:04,300 --> 01:01:08,620 +هو .. هو خلينا نقول symbol بسيط من محطة الكهربا + +815 +01:01:08,620 --> 01:01:13,450 +نفسه فده ال generator بس كبير جداالمشكلة في لبنان + +816 +01:01:13,450 --> 01:01:16,130 +في عندنا نفس المشكلة يمكن تسمعوا انتوا شباب بس + +817 +01:01:16,130 --> 01:01:20,450 +يمكن في لبنان حلينها شوية انه عاملين مطارات مركزية + +818 +01:01:20,450 --> 01:01:24,610 +لكل حارة وبالتالي بيصير صاحب الدار مرات ييجي ويبعت + +819 +01:01:24,610 --> 01:01:27,390 +في زون بيشكو في مطارة بيوديها ل .. ل .. ل .. ل + +820 +01:01:27,390 --> 01:01:30,450 +الكهربا وفي مطارة .. فاتورة بيوديها لمين صاحب + +821 +01:01:30,450 --> 01:01:32,970 +المطار اللي في الحارة ففي عنده فاتورتين بيدفعهم + +822 +01:01:32,970 --> 01:01:37,490 +أخر شهر لإنه بيدفع هنا وبيدفع هنا في مشكلة يعني + +823 +01:01:37,490 --> 01:01:42,830 +طبعا اه دي مشاكلمشاكل الدول العربية الدول اللي + +824 +01:01:42,830 --> 01:01:48,350 +نكساميها نابيها لإن احنا في الأمور الأساسية لحد + +825 +01:01:48,350 --> 01:01:51,470 +الآن مش ملبين جادرين نلبّي الحاجات الأساسية + +826 +01:01:51,470 --> 01:01:57,250 +للمواطن يعني هذه من الشغلات الضرورية لإنك تتأمن + +827 +01:01:57,250 --> 01:02:02,990 +يمكن تعرفوا لو روحتوا على أوروبافي بعض الدول خليني + +828 +01:02:02,990 --> 01:02:07,850 +اقول بامنوا مية سخنة تاجي 24 ساعة من البلدية مية + +829 +01:02:07,850 --> 01:02:10,290 +سخنة بتكشف .. بتفتح المصورة بتلاقي مية سخنة على + +830 +01:02:10,290 --> 01:02:14,710 +طول بقول كده طب هو أصعب انه يامنوها لإن كده بتمشي + +831 +01:02:14,710 --> 01:02:18,310 +في المواسير جوا وفيه مية سخنة موجودة طبعا فيه أمور + +832 +01:02:18,310 --> 01:02:21,990 +كتيرة طبعا الغاز برضه مأمن من دون لجربة ولا حاجة + +833 +01:02:21,990 --> 01:02:28,280 +على طول زي الكهربا بالظبط فيه لعفاتورةفي الدول كنا + +834 +01:02:28,280 --> 01:02:31,140 +احنا طلاب ندفع فطور الغاز وفطور الميه وفطور الكعبة + +835 +01:02:31,140 --> 01:02:36,340 +فهو كتير كتير في طبعا في مصر في بعض المناطق عاملين + +836 +01:02:36,340 --> 01:02:42,040 +هدش الغازات موجودة لكن في جزء بسيط من القاهرة لكن + +837 +01:02:42,040 --> 01:02:48,330 +بقى المدن المنسية نفس القضية تماممصادر الإنف يمكن + +838 +01:02:48,330 --> 01:02:54,350 +أن يكون مجرد مصادر مصادر مصادر مصادر مصادر مصادر + +839 +01:02:54,350 --> 01:02:57,090 +مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر + +840 +01:02:57,090 --> 01:02:58,090 +مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر + +841 +01:02:58,090 --> 01:02:58,350 +مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر + +842 +01:02:58,350 --> 01:03:02,130 +مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر + +843 +01:03:02,130 --> 01:03:10,650 +مصادر مصادر مصادر مصادر مصادر مصادر + +844 +01:03:13,260 --> 01:03:19,300 +It is exactly like a water pump زي مضخة الميه that + +845 +01:03:19,300 --> 01:03:22,580 +pushes water from lower to a higher level opposite + +846 +01:03:22,580 --> 01:03:24,700 +to the gravitational force. + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/bT-lktSXH0U_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/bT-lktSXH0U_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..dba7047703fdd6357de2f228d15765941e327a31 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/bT-lktSXH0U_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 270, "start": 0.0, "end": 2.7, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3769531349341075, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.005245208740234375, "words": [{"start": 0.0, "end": 2.7, "word": "موسيقى", "probability": 0.734765625}], "temperature": 1.0}, {"id": 2, "seek": 3778, "start": 10.04, "end": 37.78, "text": "بسم الله الرحمن الرحيم نبدأ الآن بال chapter الخامس واللي عنوانه current and resistance اذا كنتوا ذاكرين احنا حكينا ان المادة قسمت او قسمناها إلى 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"word": " مقاومة", "probability": 0.9150390625}, {"start": 3445.35, "end": 3446.73, "word": " داخلية،", "probability": 0.9703125}, {"start": 3446.73, "end": 3446.93, "word": " احنا", "probability": 0.9235026041666666}, {"start": 3446.93, "end": 3447.21, "word": " قالنا", "probability": 0.60498046875}, {"start": 3447.21, "end": 3448.13, "word": " رمزيا،", "probability": 0.81650390625}, {"start": 3448.13, "end": 3448.71, "word": " ننظرها", "probability": 0.643017578125}, {"start": 3448.71, "end": 3448.79, "word": " ب", "probability": 0.87744140625}, {"start": 3448.79, "end": 3449.07, "word": " Small", "probability": 0.13427734375}, {"start": 3449.07, "end": 3449.55, "word": " R،", "probability": 0.624267578125}, {"start": 3449.55, "end": 3449.89, "word": " عشانها", "probability": 0.85205078125}, {"start": 3449.89, "end": 3450.17, "word": " صغيرة", "probability": 0.9913736979166666}, {"start": 3450.17, "end": 3450.57, "word": " بتكون", "probability": 0.940185546875}], "temperature": 1.0}, {"id": 152, "seek": 347990, "start": 3450.88, "end": 3479.9, "text": "وهي عطلها بقول هذه بطاريتك تمام بدي أوصلها الجهاز الجهاز عبارة عن مقارنة بيسموه load الحمل اي جهاز اذا كان كمبيوتر ولا دفاية ولا ميكوايا ولا اي حاجة load resistance هاي ال load resistance وصلتها تمام بقول الآن a current will be set in the resistors in the direction shown هاي الطيارة", "tokens": [2407, 3224, 1829, 6225, 9566, 1211, 11296, 4724, 39648, 29538, 4724, 9566, 9640, 36081, 4117, 46811, 10943, 4724, 16254, 34051, 36520, 11296, 25724, 3224, 31377, 25724, 3224, 31377, 6225, 3555, 9640, 3660, 18871, 3714, 4587, 9640, 1863, 3660, 4724, 1829, 38251, 2407, 3224, 3677, 21542, 42213, 1975, 1829, 10874, 3224, 31377, 1975, 15730, 25961, 9122, 2304, 21292, 35473, 2288, 49429, 11778, 5172, 995, 10632, 49429, 3714, 1829, 4117, 14407, 25528, 49429, 1975, 1829, 11331, 26108, 3660, 3677, 7335, 8032, 47302, 2423, 3677, 7335, 4032, 36520, 2655, 11296, 46811, 10943, 4724, 39648, 6024, 48506, 257, 2190, 486, 312, 992, 294, 264, 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resistors", "probability": 0.873779296875}, {"start": 3477.58, "end": 3477.78, "word": " in", "probability": 0.955078125}, {"start": 3477.78, "end": 3477.9, "word": " the", "probability": 0.9140625}, {"start": 3477.9, "end": 3478.28, "word": " direction", "probability": 0.95166015625}, {"start": 3478.28, "end": 3478.76, "word": " shown", "probability": 0.9453125}, {"start": 3478.76, "end": 3479.44, "word": " هاي", "probability": 0.5697021484375}, {"start": 3479.44, "end": 3479.9, "word": " الطيارة", "probability": 0.83660888671875}], "temperature": 1.0}, {"id": 153, "seek": 349625, "start": 3480.55, "end": 3496.25, "text": "طبعا من الجهد الأعلى إلى جهد الأوطة احنا عارفين هاي الجهد الأعلى لأن هذا موجب هنا جهد الأعلى وهذا جهد الأقل بدي يمشي الطيار هيك بهذا الشكل عشان كده بيقول من قطب الموجب للبطارية لقطب السالب من الجهد الأعلى إلى جهد الأوطة", "tokens": [9566, 3555, 3615, 995, 9154, 25724, 3224, 3215, 16247, 3615, 23942, 30731, 10874, 3224, 3215, 16247, 2407, 9566, 3660, 1975, 5016, 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"word": " الأعلى", "probability": 0.92529296875}, {"start": 3481.57, "end": 3481.71, "word": " إلى", "probability": 0.63330078125}, {"start": 3481.71, "end": 3481.95, "word": " جهد", "probability": 0.8714192708333334}, {"start": 3481.95, "end": 3482.35, "word": " الأوطة", "probability": 0.7918701171875}, {"start": 3482.35, "end": 3482.45, "word": " احنا", "probability": 0.721923828125}, {"start": 3482.45, "end": 3483.11, "word": " عارفين", "probability": 0.9654541015625}, {"start": 3483.11, "end": 3483.61, "word": " هاي", "probability": 0.394287109375}, {"start": 3483.61, "end": 3483.91, "word": " الجهد", "probability": 0.9347330729166666}, {"start": 3483.91, "end": 3484.39, "word": " الأعلى", "probability": 0.978515625}, {"start": 3484.39, "end": 3484.79, "word": " لأن", "probability": 0.633544921875}, {"start": 3484.79, "end": 3484.95, "word": " هذا", "probability": 0.7783203125}, {"start": 3484.95, "end": 3485.45, "word": " موجب", "probability": 0.9860026041666666}, {"start": 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الأعلى", "probability": 0.9724934895833334}, {"start": 3494.81, "end": 3495.33, "word": " إلى", "probability": 0.859375}, {"start": 3495.33, "end": 3495.69, "word": " جهد", "probability": 0.8543294270833334}, {"start": 3495.69, "end": 3496.25, "word": " الأوطة", "probability": 0.9757080078125}], "temperature": 1.0}, {"id": 154, "seek": 352552, "start": 3497.12, "end": 3525.52, "text": "بُلّت بيتشاريز موفي through the resistor from B to A due to the higher potential at B relative to A هذه شغلة طبيعية بقول هذه حركة عادية حركة زي أنزل الميه من فوق لتحت تنزل الميه قاعدة عادي من العالي للواطي ماعندي أي مشكلة تمام طيب المشكلة زي ما حكينا مين اللي بده يرفع الشحنات من A لB جوا البطارية بده دافع بده قوة دافعة", "tokens": [3555, 10859, 1211, 11703, 2655, 4724, 36081, 8592, 9640, 1829, 11622, 3714, 2407, 41185, 807, 264, 37672, 490, 363, 281, 316, 3462, 281, 264, 2946, 3995, 412, 363, 4972, 281, 316, 29538, 13412, 17082, 37977, 23032, 21292, 3615, 10632, 4724, 39648, 29538, 11331, 31747, 3660, 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0000000000000000000000000000000000000000..fdd688f31fa8f4a0155b2026ced1d26d0b5be4be --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/bT-lktSXH0U_raw.srt @@ -0,0 +1,3412 @@ +1 +00:00:00,000 --> 00:00:02,700 +موسيقى + +2 +00:00:10,040 --> 00:00:14,040 +بسم الله الرحمن الرحيم نبدأ الآن بال chapter + +3 +00:00:14,040 --> 00:00:19,740 +الخامس واللي عنوانه current and resistance اذا + +4 +00:00:19,740 --> 00:00:25,020 +كنتوا ذاكرين احنا حكينا ان المادة قسمت او قسمناها + +5 +00:00:25,020 --> 00:00:28,840 +إلى أربع أقسام القسم الأول الكعربية الساكنة القسم + +6 +00:00:28,840 --> 00:00:32,560 +التاني هي الكعربية الدينامكية واللي بتبدأ اليوم ان + +7 +00:00:32,560 --> 00:00:35,040 +شاء الله بال chapter الخامس وchapter السادس + +8 +00:00:35,040 --> 00:00:37,780 +استكمال لهذا الموضوع + +9 +00:00:40,790 --> 00:00:44,810 +under title current and resistance recommended + +10 +00:00:44,810 --> 00:00:51,730 +problems as before هتشوفوا لاسئلة قليلة في هذا ال + +11 +00:00:51,730 --> 00:00:56,210 +chapter لأن هذا ال chapter فيه شوية concepts وثقل + +12 +00:00:56,210 --> 00:00:59,170 +على التطبيق في ال chapter اللي ورا وبالتالي هذا ال + +13 +00:00:59,170 --> 00:01:04,130 +chapter يعتبر خفيف مقارنة باللي ورا بس هدول هذا + +14 +00:01:04,130 --> 00:01:07,910 +بدل انه برضه هتشوفوا أن الأمثلة برضه سهلة وقليلة + +15 +00:01:09,560 --> 00:01:14,520 +مواضيع شوية سهلة عشان هيك ال quiz تبعه أخديت + +16 +00:01:14,520 --> 00:01:16,700 +section من ال chapter اللي وقع على ال chapter هذا + +17 +00:01:16,700 --> 00:01:22,200 +عشان أعمله quiz خاص بي وبالتالي ال quiz تبعه طبعا + +18 +00:01:22,200 --> 00:01:25,240 +ال chapter او ال section اللي أخدته من ال chapter + +19 +00:01:25,240 --> 00:01:29,680 +برضه 10 عوينة في الكتاب فاصلينه وبالتالي هذا ال + +20 +00:01:29,680 --> 00:01:31,900 +chapter هيكون صغير كتير في الكتاب و ال chapter + +21 +00:01:31,900 --> 00:01:35,440 +اللي وقع كبير كتير فأنا فضلت أخد section من ال + +22 +00:01:35,440 --> 00:01:40,360 +chapter 27أو تمانية وعشرين وحطه على الشطار سبعة + +23 +00:01:40,360 --> 00:01:46,460 +وعشرين تمام اول حاجة نجي نشرح ال electric current + +24 +00:01:46,460 --> 00:01:52,240 +current معناه تيار شباب تيار كهربائي كلمة تيار + +25 +00:01:52,240 --> 00:01:58,370 +لغويا اتوا بيجي مفهوم حركةزي طيار ميه طيار هوا + +26 +00:01:58,370 --> 00:02:03,250 +طبعا لما نقول في طيار هوا الشجر ماتتحرك ولا لأ اذا + +27 +00:02:03,250 --> 00:02:08,210 +الهوا بتتحرك طيار ميه واضح الطيار فيه ميه كيف + +28 +00:02:08,210 --> 00:02:12,270 +الميه ماتتحركش بعدها؟ هلجيتي تتحركت حالها ولا لازم + +29 +00:02:12,270 --> 00:02:17,150 +حد ضخها؟ طيب من البراميل اللي فوق بدها مضخها ولا + +30 +00:02:17,150 --> 00:02:22,420 +حالة تنزل؟ليش؟ الجاذبية بمعنى اخر في فرق جهد، احنا + +31 +00:02:22,420 --> 00:02:25,520 +اتفقنا انه عند النقطة هذه فيه جهد ولا لا، فلما + +32 +00:02:25,520 --> 00:02:30,080 +يكون في عندي فرق جهد، بتنزل الميه، فرق في ال + +33 +00:02:30,080 --> 00:02:34,260 +potential energy، بتنزل الميه، اللي بده يقابل الآن + +34 +00:02:34,260 --> 00:02:40,650 +الميه التيار الكهربائيهناك حضّق ميّه سائل بتدفّق، + +35 +00:02:40,650 --> 00:02:45,890 +إن الآن شحنات هتتدفّق، هتتحرك شحنات، فبقولّي + +36 +00:02:45,890 --> 00:02:50,370 +whenever electric charges of the same sign move, + +37 +00:02:51,070 --> 00:02:54,270 +we have what is called electric currentإذا الـ + +38 +00:02:54,270 --> 00:02:57,650 +electric current مرتبط بحركة الشحنات طبعا لازم + +39 +00:02:57,650 --> 00:03:02,070 +يكون الشحنات من نفس النوعية احنا عارفين ان اللي + +40 +00:03:02,070 --> 00:03:05,470 +بتحرك أصلا الشحنات السالبة وهو الالكيونات وبالتالي + +41 +00:03:05,470 --> 00:03:09,050 +أصل الحركة للشحنات السالبة هي من نفس النوعية إذا + +42 +00:03:09,050 --> 00:03:15,450 +في حركة في شحنات طيب الحركة معناته في تغيرحركات + +43 +00:03:15,450 --> 00:03:20,890 +بتتغير ارتبط بالحركة في VCAF ال velocity صحيح ولا + +44 +00:03:20,890 --> 00:03:24,470 +لأ؟ وقلنا ال velocity عرفناها معدل تغير ازاحة + +45 +00:03:24,470 --> 00:03:28,510 +بالنسبة للزمن فبنقول موضوع هو بتتغير بالنسبة للزمن + +46 +00:03:28,510 --> 00:03:32,690 +هنا الشحنات عاملها تتحرك يعني بمعنى اخر هو انا + +47 +00:03:32,690 --> 00:03:38,610 +بتفرج على سلك كهربائي ومعظم الفرد انه مصنوع شفاف + +48 +00:03:38,610 --> 00:03:42,530 +هيك وبتطلع الشحنة اللي بشوفها بتدلها نفسها واقف + +49 +00:03:42,530 --> 00:03:46,070 +ولا بيجي غيرها؟بيشغيرها، اذا الشحنات بتتغير مع + +50 +00:03:46,070 --> 00:03:49,530 +الزمن ولا بتتغيرش، هي معناه تيار كهربائي، اذا + +51 +00:03:49,530 --> 00:03:55,850 +التعريف العلمي للمصطلح بيقول لي معناته I بيساوي DQ + +52 +00:03:55,850 --> 00:04:01,710 +على DT، I هو رمز التيار الكهربائي، هي التيار، معدل + +53 +00:04:01,710 --> 00:04:04,490 +تغير شحنة بالنسبة للزمن، الشحنات عامة بتتغير مع + +54 +00:04:04,490 --> 00:04:10,940 +الزمن، بتفوق و بتيجي، اذا DQ على DT، هي Iرمز جديد + +55 +00:04:10,940 --> 00:04:14,320 +اسمه electric current عندنا نشوف وحداته طبعا من + +56 +00:04:14,320 --> 00:04:19,740 +هذا التعريف q is a scalar quantity and time is a + +57 +00:04:19,740 --> 00:04:23,340 +scalar quantity so the electric current is also a + +58 +00:04:23,340 --> 00:04:26,470 +scalar quantityطبعا احنا بنعرف انها square + +59 +00:04:26,470 --> 00:04:30,090 +quantity لكن دايما بنقول اين اتجاه التيار صح ولا + +60 +00:04:30,090 --> 00:04:34,090 +لأ اتجاه التيار مرتبط باتجاه حركة الشحنات مش + +61 +00:04:34,090 --> 00:04:38,970 +باتجاه الكيمية نفسها ككمية فيزيائية the SI unit of + +62 +00:04:38,970 --> 00:04:42,990 +current in the ampere معروفة والامبير بيساوي كلوم + +63 +00:04:42,990 --> 00:04:46,870 +على second صحيح ولا لأ حسب التعريف هذه ايش وحدتها + +64 +00:04:47,580 --> 00:04:51,080 +كله مهدي سكنت كله مع سكنت هي الطيار لكن الطيار + +65 +00:04:51,080 --> 00:04:55,020 +عشان هو كمية مشهورة حكوا ان تديها واحدة وكلكم + +66 +00:04:55,020 --> 00:04:58,660 +تعرفوا أمبير هو عالم فرنسي وبالتالي تكريما إليه + +67 +00:04:58,660 --> 00:05:04,440 +اعطوا واحدة الطيار الكهربائيبقول although current + +68 +00:05:04,440 --> 00:05:08,720 +is a scalar quantity من التعريف a direction is + +69 +00:05:08,720 --> 00:05:11,320 +always specified to the current دايما بقول وين + +70 +00:05:11,320 --> 00:05:15,380 +تجاه التيار برغم ان هي scalar طب كيف تجاه التيار + +71 +00:05:15,380 --> 00:05:19,060 +بقول the direction of the current is taken by + +72 +00:05:19,060 --> 00:05:24,210 +conventionصار في اتفاق ما بين العلماء كيف يحددوا + +73 +00:05:24,210 --> 00:05:27,610 +اتجاه التيار شباب قالوا خلوها اتجاه حركة الشحنات + +74 +00:05:27,610 --> 00:05:32,770 +الموجبة يقال انه لما اتفقوا على هذا الشيء لسه + +75 +00:05:32,770 --> 00:05:35,870 +المعلومة ماكنتش وصلاهم ان اللي بتحرك هي الشحنات + +76 +00:05:35,870 --> 00:05:39,790 +السالبةفقالوا فهو موجب ولا لأ فقالوا لذا خلّي + +77 +00:05:39,790 --> 00:05:42,650 +الشحنات الموجبة وانت تتحرك ايه اتجاه التيار لما + +78 +00:05:42,650 --> 00:05:45,970 +عرفوا في الآخر انه بتتحرك اصلا للكيونات قالوا + +79 +00:05:45,970 --> 00:05:49,870 +بنغير مش هنغير خلينا زي ما احنا فهذا by confusion + +80 +00:05:49,870 --> 00:05:55,130 +يعني مجرد استراح يعني اتفاق مايش ليش يضحكوا تمام + +81 +00:05:55,130 --> 00:05:58,010 +to be the direction of motion of positive charges + +82 +00:05:58,010 --> 00:06:01,130 +اذا ان انا اتجاه التيار هو اتجاه حركة الشحنات + +83 +00:06:01,130 --> 00:06:04,750 +الموجبة فبالشحنات الموجبة بتتحرك مع المجال ولا + +84 +00:06:04,750 --> 00:06:08,690 +بتتحركش مع المجالمش بتتحرك مع المجال؟ لإن لو انا + +85 +00:06:08,690 --> 00:06:12,830 +في عندي مجال بهذا الشكل يا شباب، هي إيه؟ وفي عندي + +86 +00:06:12,830 --> 00:06:18,950 +شحنة موجبة، و أنا أتحرك هيك ولا هيك؟ بأتحرك هيك، + +87 +00:06:18,950 --> 00:06:24,870 +هذه .. إذا هذا هو أيه؟ هذا تيار، تمام؟ إذا صار + +88 +00:06:24,870 --> 00:06:28,990 +التيار و المجال زي بعض يعني، بمعنى أخر، تمام؟ طيب، + +89 +00:06:28,990 --> 00:06:34,250 +لما أنا أقسم إيه؟ مين جهده على هذه ولا هذه؟ اللي + +90 +00:06:34,250 --> 00:06:38,910 +هيإذا معناته شحنية بتتحرك من الجهد الأعلى لجهد + +91 +00:06:38,910 --> 00:06:42,310 +الأقل ولا لا؟ وعشان هيك حكوا عشان يظلوا الإنسان + +92 +00:06:42,310 --> 00:06:45,810 +مرتبط بحكاية الميه أو أي سيلان أنه أنا بعرف الميه + +93 +00:06:45,810 --> 00:06:48,970 +بتتيجي من فوق لتحت مش من تحت لفوق صح ولا لا؟ من + +94 +00:06:48,970 --> 00:06:51,610 +فوق لتحت يعني من الأعلى إلى الأدنى فخليها بنفس + +95 +00:06:51,610 --> 00:06:56,090 +المفهوم التيار بتتحرك من فوق لتحت من أعلى إلى أسفل + +96 +00:06:56,090 --> 00:06:58,050 +من الجهد الأعلى لجهد الأقل + +97 +00:07:06,110 --> 00:07:09,550 +بارض هذه معلومات واضحة ومافيش فيها مشكلة زيها زي + +98 +00:07:09,550 --> 00:07:11,270 +الميه مافيش اي اشكالية + +99 +00:07:14,090 --> 00:07:18,910 +إذا التيار هو شحنات بس بتتحرك الشحنات ارتبط فيها + +100 +00:07:18,910 --> 00:07:24,130 +charge density وقولنا lambda و sigma و rho نفس + +101 +00:07:24,130 --> 00:07:28,570 +العملية التيار بيرتبط في current density ال + +102 +00:07:28,570 --> 00:07:33,270 +current density عرفت على أنها تيار على مساحة بتشبه + +103 +00:07:33,270 --> 00:07:37,010 +sigma شباب طب ليش قالوا بس مساحة؟ قالوا التيار هو + +104 +00:07:37,010 --> 00:07:41,510 +ماشي زي الميه بقطع مساحات مساحة المقطع بقطعها + +105 +00:07:41,780 --> 00:07:45,620 +بالتالي هذه المساحة اللي بيقطعها جسم التيار عليها + +106 +00:07:45,620 --> 00:07:49,080 +بتعطيك ال current density electric current per + +107 +00:07:49,080 --> 00:07:52,740 +unit area per unit area بس على ال area in the + +108 +00:07:52,740 --> 00:07:55,920 +direction of the positive charge motion is known + +109 +00:07:55,920 --> 00:08:02,480 +as the current density J إذن D I بتسوي J ضد ال D E + +110 +00:08:02,480 --> 00:08:06,760 +هذه تعريف أخر وتأكيد أن التيار is scalar ولا + +111 +00:08:06,760 --> 00:08:11,880 +vectorسكيلة لأنه عبارة عن نتيجة سكيلة البرودكت بين + +112 +00:08:11,880 --> 00:08:16,760 +ال area وال current density ال area احنا عارفينها + +113 +00:08:16,760 --> 00:08:19,520 +من ايام ما أخدنا قانون gauss هي vector quantity + +114 +00:08:19,520 --> 00:08:23,340 +واتجاهها كيف يكون عمودي على السطح لو انا هجيت + +115 +00:08:23,340 --> 00:08:27,140 +الطيار هذا سلك و الطيار ماشي هيك مش بتكون ال area + +116 +00:08:27,140 --> 00:08:31,960 +برضه مع الطيار صح ولا لأ؟ اذا غالبا بتكون ال j و + +117 +00:08:31,960 --> 00:08:33,460 +ال a الزواي بينهم zero + +118 +00:08:38,430 --> 00:08:45,870 +كمل ترفيه المعادلةماذا يتكامل دي اي اي اي اي اي اي + +119 +00:08:45,870 --> 00:08:47,090 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +120 +00:08:47,090 --> 00:08:51,530 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +121 +00:08:51,530 --> 00:08:53,990 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +122 +00:08:53,990 --> 00:08:58,230 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +123 +00:08:58,230 --> 00:08:58,230 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +124 +00:08:58,230 --> 00:09:00,890 +اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي + +125 +00:09:00,890 --> 00:09:00,970 +اي + +126 +00:09:12,280 --> 00:09:17,080 +الان اتفهمنا ان الطيار مرتبط بحركة الشحنات لو + +127 +00:09:17,080 --> 00:09:21,880 +الشحنات واقفة بتتوقع يكون في طيار؟ لأ حسب التعليق + +128 +00:09:21,880 --> 00:09:26,120 +مافيش طيارطبعا انتوا بتعرفوا انه انا عشان اجبر + +129 +00:09:26,120 --> 00:09:32,800 +الشحنات تتحرك لازم اخلي فرق جهد بين طرفي السلك لان + +130 +00:09:32,800 --> 00:09:34,900 +اذا خليت فرق جهد بين طرفي السلك معناه تبقى يبقى في + +131 +00:09:34,900 --> 00:09:37,900 +عندي طرف موجب وطرف سالب و الشحنات تتحرك من الموجب + +132 +00:09:37,900 --> 00:09:41,800 +للسالب هذا الفرق الجهد مين بيأمليه دايما في + +133 +00:09:41,800 --> 00:09:45,910 +الواقع؟البطاريات او ال breeze اللى هان نحنا لما + +134 +00:09:45,910 --> 00:09:49,290 +نقول ال breeze 220 volt مش هدا فرق جهود هدا فرق + +135 +00:09:49,290 --> 00:09:52,750 +جهود البطارية هي واحد و نصف volt هدا فرق جهود ده + +136 +00:09:52,750 --> 00:09:56,350 +طبعا هنعرف حاجة من الراديو عشان يخرب بروح من جزء + +137 +00:09:56,350 --> 00:09:59,550 +من ال voltmeter بصير يعطيني ربع و عشر بنقول خلص + +138 +00:09:59,550 --> 00:10:03,790 +بطل يعطي فرق جهود كافي وبالتالي بدينش تيار ومقدرش + +139 +00:10:03,790 --> 00:10:09,050 +استفيد منه اذا عشان انايصير في عندي طيار لابد ان + +140 +00:10:09,050 --> 00:10:11,870 +يكون فيه فرق جهد بين طرفي أي سلك بده يمر فيه + +141 +00:10:11,870 --> 00:10:17,490 +الطيار تمام الآن الحركة هذه بعرف انا ارتباطها + +142 +00:10:17,490 --> 00:10:20,730 +بالسرعة بدي اجيب علاقة بين الطيار والسرعة بدي اجيب + +143 +00:10:20,730 --> 00:10:26,230 +علاقة بين الطيار والسرعة اقول التالي consider a + +144 +00:10:26,230 --> 00:10:28,790 +section of a convector بدي اجيب سلك واخد جزء من + +145 +00:10:28,790 --> 00:10:33,050 +السلكof cross-sectional area A and length DX + +146 +00:10:39,460 --> 00:10:42,800 +بقولي نبدأ في شحنات في عندي عدة شحنات كتير من + +147 +00:10:42,800 --> 00:10:48,520 +الشحنات تمام كل شحنة شحنتها Q بيسموها charge + +148 +00:10:48,520 --> 00:10:52,200 +carrier يعني الجثيم اللي حامل الشحنة زي البروتون + +149 +00:10:52,200 --> 00:10:56,140 +والإلكرون هذين بيسموها charge carrier حامل شحنة اي + +150 +00:10:56,140 --> 00:11:00,080 +جثيم بيحمل شحنة بيسمونه charge carrier if Q is the + +151 +00:11:00,080 --> 00:11:05,290 +charge of each charge carrier ممكن تعتبر Eو small + +152 +00:11:05,290 --> 00:11:11,830 +n هو عدد + +153 +00:11:11,830 --> 00:11:16,290 +الشحنات لكل واحدة حجم في هذا السيليك كيف بدي أعرف + +154 +00:11:16,290 --> 00:11:20,210 +أقل شحنة موجود مع أنه عدد الشحنات لكل واحدة حجم + +155 +00:11:20,210 --> 00:11:26,270 +معروفة بدي أعطيه small n في الحجم طب حجم الصورة + +156 +00:11:26,270 --> 00:11:27,650 +بقدر أجيبها؟ + +157 +00:11:30,460 --> 00:11:35,100 +ا في dx من صحة القاعدة في الارتفاع تمام ال total + +158 +00:11:35,100 --> 00:11:38,800 +number of charges in this section هو المفروض ان + +159 +00:11:38,800 --> 00:11:43,960 +انا جبت total charge ال total number ايش بيساوي ال + +160 +00:11:43,960 --> 00:11:48,900 +total number in بيساوي small in في ال volume صح + +161 +00:11:48,900 --> 00:11:52,680 +ولا لأ شباب ال + +162 +00:11:52,680 --> 00:11:58,040 +total number طب ال volume ايش بيساوي in a في dx + +163 +00:12:01,400 --> 00:12:06,820 +ن في DX هذي total number طب لو واحد قال ليه شحنة + +164 +00:12:06,820 --> 00:12:11,420 +كل واحد معروفة Q جديش الشحنة الكلية مش بدل و بدل + +165 +00:12:11,420 --> 00:12:16,080 +عدد في شحنة كل واحد اذا the total charge in this + +166 +00:12:16,080 --> 00:12:21,840 +section هذي الشحنات هي بتتحرك إلى سبعة بتكون هذي + +167 +00:12:21,840 --> 00:12:29,470 +واحد منهم شحنته Qتما فالشحنة الكلية بيصيح small n + +168 +00:12:29,470 --> 00:12:35,310 +في a dx في q هي طلعت الشحنة الكلية في هذا المقطع + +169 +00:12:35,310 --> 00:12:39,430 +اكم شحنة فيه عشانه في مقطع واحد سميتها dq قولت طب + +170 +00:12:39,430 --> 00:12:44,730 +اودي دي التيار الآن بقول التيار بيسوي dq على dt dq + +171 +00:12:44,730 --> 00:12:49,510 +على dt now the current produced by these charges + +172 +00:12:49,510 --> 00:12:55,040 +areI بيساوي DQ على DT حسب تعريفنا يامان فاضل + +173 +00:12:55,040 --> 00:12:57,880 +الشباب فده ثابت و ده ثابت و ده ثابت ده متغير + +174 +00:12:57,880 --> 00:13:03,600 +الوحيد فبصير بهذا الشكل ايش DX على DT بتساوي + +175 +00:13:03,600 --> 00:13:07,340 +السرعة هي السرعة اذا أنا جيبت العلاقة اللي انا + +176 +00:13:07,340 --> 00:13:12,300 +بديها رابط التيار بالسرعة برضه قانون فرعي يعني + +177 +00:13:12,300 --> 00:13:16,130 +مافيش عليه تطبيقات كتيرةلكن مجرد انه عشان يحكيلي + +178 +00:13:16,130 --> 00:13:20,390 +انه زودت السرعة بزيدي التيار وهذا شغلها مبتقية لان + +179 +00:13:20,390 --> 00:13:27,630 +الطيار حركة عشان كده لو احنا طلعنا شباب الميه + +180 +00:13:27,630 --> 00:13:32,910 +لما تكون عالية كتير بتكون سرعته اعلى او اقبر لما + +181 +00:13:32,910 --> 00:13:38,420 +تصلك تحت صحيح ولا لأ؟لأن السرعة بتزيد وبالتالي + +182 +00:13:38,420 --> 00:13:44,900 +الطيارة الميه بزيد تمام إذا ما I بيسوي NQADV عدد + +183 +00:13:44,900 --> 00:13:48,440 +الشحنات بلعب دور لإن هو حركة الشحنات هذه الشحنة + +184 +00:13:48,440 --> 00:13:51,760 +الكلية وهذه مساحة المخطأ كل ما زادت كل ما كانت + +185 +00:13:51,760 --> 00:13:56,370 +كمية الطيارة أكبرتمام زى ما حكينا هذا قانون مافيش + +186 +00:13:56,370 --> 00:13:59,930 +عليه كتير تطبيقات مباشرة خصوصا بال .. بالتطبيقات + +187 +00:13:59,930 --> 00:14:05,230 +العملية ممكن علميا بربطوها لكن مش كتير مهم في ال + +188 +00:14:05,230 --> 00:14:09,930 +.. في ال microscopic انه كيف انا بدي اشوف التيار و + +189 +00:14:09,930 --> 00:14:13,570 +افهمه من جوا بصير هذا القانون له شوية معنى لكن + +190 +00:14:13,570 --> 00:14:16,550 +بالتطبيقات الخارجية شباب هذا القانون بفقط له اي + +191 +00:14:16,550 --> 00:14:20,130 +معنى يعني مجرد قانون موجود و انا القانون الأصلي + +192 +00:14:20,130 --> 00:14:24,940 +اللى عادنا هناخده قانون امالقانون OM هو القانون + +193 +00:14:24,940 --> 00:14:29,900 +اللى بيدين الطيار بصورة الحقيقية لكن في الاخر بدي + +194 +00:14:29,900 --> 00:14:35,580 +اعرف ان الطيار مرتبط بالسرعة بالقطة طبعا VD is + +195 +00:14:35,580 --> 00:14:38,820 +known as the drift velocity السرعة المتوسطة لأنه + +196 +00:14:38,820 --> 00:14:42,020 +حركة الإلكيونات مزاى السيارة اللى ماشية عدل ده + +197 +00:14:42,020 --> 00:14:45,150 +الإلكيونات اللى بتمشيش بسرعة عدلة بتمشي هيكحركة + +198 +00:14:45,150 --> 00:14:49,450 +بيسموها زجزاجية تمام وبالتالي السرعة Vd أنا معنى + +199 +00:14:49,450 --> 00:14:54,670 +فيها انه المسافة المستقيمة ع الزمن فهذه بيسموها Vd + +200 +00:14:54,670 --> 00:14:59,330 +الاندفاعية السرعة الاندفاعية Vd is the drift + +201 +00:14:59,330 --> 00:15:02,210 +velocity the average displacement per unit time + +202 +00:15:02,210 --> 00:15:05,090 +along the direction of the current لأنه الالكترون + +203 +00:15:05,090 --> 00:15:08,770 +عادة شباب بمشي هيك وبالتالي لو بدي أجيب السرعة بدي + +204 +00:15:08,770 --> 00:15:12,400 +المسافة هذهعلى الزمن مرات بيكون عندك حواكت + +205 +00:15:12,400 --> 00:15:17,240 +إلكترونات لكن مافيش تيار بتكون بتخرج رايح جاي على + +206 +00:15:17,240 --> 00:15:23,700 +الفاضي مابيقطعش مسافات كتيرة تمام الآن ال + +207 +00:15:23,700 --> 00:15:32,240 +resistance التيار بيفوت في أسلاكوالأسلاك متنوعة في + +208 +00:15:32,240 --> 00:15:35,200 +عند إنحاس وفي عند الفضة وفي عند المطاط وفي عند + +209 +00:15:35,200 --> 00:15:40,060 +البلاستيك والزجاج ومائة ألف مادة بمادة كيف بدي + +210 +00:15:40,060 --> 00:15:46,820 +أميز بينهم هذا الـsilic ربطوه بكينية فيزيائية + +211 +00:15:46,820 --> 00:15:51,500 +جديدة سموها المقاومة ال resistance المقاومة بيقول + +212 +00:15:51,500 --> 00:15:55,320 +لي the current results by applying a potential + +213 +00:15:55,320 --> 00:16:00,470 +difference between the ends of a conductorمعروفة + +214 +00:16:00,470 --> 00:16:03,270 +ان الطيار من اين بيجي انك تجيه فرق جوهر بين طرفاك + +215 +00:16:03,270 --> 00:16:06,650 +وconductor هذا الطيار depends on the + +216 +00:16:06,650 --> 00:16:11,370 +characteristic of that conductor كمية مرتبط بنوع + +217 +00:16:11,370 --> 00:16:15,150 +المادة المصنوع منها السلكcharacteristic of that + +218 +00:16:15,150 --> 00:16:19,070 +conductor تمام the quantity that measures this + +219 +00:16:19,070 --> 00:16:22,970 +characteristic خاصية مادة كيبي ده يجيسها قالوا + +220 +00:16:22,970 --> 00:16:26,110 +خلينا نجيسها بكمية فيزيائية سموها ال resistance + +221 +00:16:26,110 --> 00:16:30,630 +المقاومة resistance and the wire whose function is + +222 +00:16:30,630 --> 00:16:33,750 +to provide a specific resistance is called + +223 +00:16:33,750 --> 00:16:37,430 +resistor والسلك اللي بيقول عنه مقاومة ايش بيسميه + +224 +00:16:37,430 --> 00:16:40,850 +برضه مقاومة احنا باللغة تبعتناهذا مقاومة ومقاومته + +225 +00:16:40,850 --> 00:16:45,930 +موجدهش لكن الـ Resistor هو السلك اللي رسمته من هنا + +226 +00:16:45,930 --> 00:16:52,490 +الهيك هتكون صحيح؟ حد ايش بيسميه Resistor؟ Resistor + +227 +00:16:52,490 --> 00:17:00,690 +مقاومة تمام ال resistance R المقاومة Resistance + +228 +00:17:00,690 --> 00:17:06,090 +رمزها R is defined by R بيستوى V على I قانون إيش + +229 +00:17:06,090 --> 00:17:13,720 +هذا؟ هاي قانون Oبقول V تتناسب تناسب ارتضيا مع I + +230 +00:17:13,720 --> 00:17:20,020 +ثابت التناسب هو R ايش يعني؟ بقولي I هذه كل ما زاد + +231 +00:17:20,020 --> 00:17:24,460 +فرق الجهد كل ما بفوض التيار يزيد لأنه لما يزيد فرق + +232 +00:17:24,460 --> 00:17:27,700 +الجهد شباب لو بداي أرجع أرجع واقعي أنها بتزيد + +233 +00:17:27,700 --> 00:17:33,580 +القوة لأنه أنا فرق الجهد أصلا جاي من تكامل E ضد ال + +234 +00:17:33,580 --> 00:17:40,100 +DL وهذه إلى ده أوز أفعل Qصح انا لأ اذا انا لما فيط + +235 +00:17:40,100 --> 00:17:44,000 +الجهد يزيد القوة بتزيد القوة اللى بتحرك + +236 +00:17:44,000 --> 00:17:48,320 +الالكترونات و لما تزيد القوة بتزيد السرعة و لما + +237 +00:17:48,320 --> 00:17:52,500 +تزيد السرعة بتزيد التيار نرجع كمان مرة لو برمين + +238 +00:17:52,500 --> 00:17:57,560 +الميه تبعنا على العاشر و انا ساكن في الاول ولا انا + +239 +00:17:57,560 --> 00:18:02,070 +ساكن في التاسع و كيف الميه بتكون اقوىوقت ايش؟ لما + +240 +00:18:02,070 --> 00:18:05,770 +اكون على الاول .. ليش؟ لما بيكون فرق الجهد اعلى + +241 +00:18:05,770 --> 00:18:09,570 +بين العاشر والاول .. فرق جهد لان فرق energy في + +242 +00:18:09,570 --> 00:18:13,970 +نهاية الجهد هو energy عشان كده لما انت تكون ساكن + +243 +00:18:13,970 --> 00:18:19,050 +وبرمين على السطح تبعدات مرات الأطفال مابيشتغلشلأن + +244 +00:18:19,050 --> 00:18:22,690 +الناس ما بدي قوة دفع. بدي قوة دفع في الميه. نفس + +245 +00:18:22,690 --> 00:18:27,590 +العملية. اللي بيمثل او بيناظر فرق الجهد ما بين + +246 +00:18:27,590 --> 00:18:31,770 +برميل الميه والمصورة اللي عندك في الدار هو فرق + +247 +00:18:31,770 --> 00:18:35,870 +الجهد القهربائي. كل ما زاد فرق الجهد كل ما زاد + +248 +00:18:35,870 --> 00:18:39,330 +التيار. كل ما زاد الارتفاع. الارتفاع هو بيمثل + +249 +00:18:39,330 --> 00:18:44,550 +الجهد هناك. كل ما زاد قوة الميه. تيار الميه. تمام? + +250 +00:18:44,710 --> 00:18:49,550 +فهذا قانون انبياءه قانون عادي.زود فرق الجهد بزيدي + +251 +00:18:49,550 --> 00:18:54,830 +الطيارة هناك نسبة طردية وتناسب طرد بين V و I من + +252 +00:18:54,830 --> 00:19:00,750 +اللي بربطهم؟ R لكن هل R تعتمد على V؟ لأ و لا تعتمد + +253 +00:19:00,750 --> 00:19:06,790 +على I هذا اللي دعوة بهذا لكن هذا ليس دعوة بهذا + +254 +00:19:06,790 --> 00:19:12,590 +بمعنى آخر هذا مقدار ثابت زي بناظر ال capacitance C + +255 +00:19:14,070 --> 00:19:20,050 +C كانت تربوت Q و V لكن لا Q ولا V انهم دعوة بالـ C + +256 +00:19:20,050 --> 00:19:24,550 +بقى تروح على الـ C تامة V is the potential + +257 +00:19:24,550 --> 00:19:27,610 +difference between the ends of a resistor فرق + +258 +00:19:27,610 --> 00:19:30,950 +الجهد رمزه بدل ما يقولوا Delta V اتفقنا من اليوم + +259 +00:19:30,950 --> 00:19:34,730 +اطلع بنخليه V زي فرق الجهد بين طرفي الكباسيتر هنا + +260 +00:19:34,730 --> 00:19:40,130 +فرق الجهد بين طرفي المقاومة او السلك تمةهذه إيش + +261 +00:19:40,130 --> 00:19:43,510 +وحدتها؟ قالوا vote على أمبير طبعا في النهاية هذه + +262 +00:19:43,510 --> 00:19:47,370 +صوت كمية تجارية وبالتالي ادوها وحدة إيش وحدتها؟ + +263 +00:19:47,370 --> 00:19:51,370 +الـOM إذا thus a unit of resistance is vote per + +264 +00:19:51,370 --> 00:19:55,770 +ambeir or OM that is واحد OM بيسوي واحد vote على + +265 +00:19:55,770 --> 00:20:03,090 +أمبير طبعا هذا الرمز إيش بيسموه؟Capital Omega هذي + +266 +00:20:03,090 --> 00:20:07,430 +إيش؟ اسمه Omega طبعا أنتوا بتعرفوا Omega بتمثل حرف + +267 +00:20:07,430 --> 00:20:09,410 +O في اللغة اليونانية + +268 +00:20:12,650 --> 00:20:16,730 +طبعا احنا غالبا بناخد الرمز الانجليزي يعني لما + +269 +00:20:16,730 --> 00:20:20,570 +نقول امبير اخدنا ايه لكن مشكلة اوم قالوا اوم هذا + +270 +00:20:20,570 --> 00:20:24,350 +الحرف بشعه شوية مش هالشنه بشعه بشعه يعني كمنظر لا + +271 +00:20:24,350 --> 00:20:27,810 +بمثل السفر فبالتالي شرضوا منه قالوا هذا مينفعش + +272 +00:20:27,810 --> 00:20:31,070 +ضوروا لك اللغة اليونانية جنبهم قالوا هذا حلو ال + +273 +00:20:31,070 --> 00:20:35,050 +اوم ال اوم هو الحرف ال او في اللغة اليونانية بمثل + +274 +00:20:35,050 --> 00:20:39,200 +ال اوفلقوا طبعا ال small ω هذه كانت متاخدة لل + +275 +00:20:39,200 --> 00:20:42,360 +frequency فقالوا ناخد ال capital فاعتمدت ال + +276 +00:20:42,360 --> 00:20:48,120 +capital O او ال capital ω لك حرف على ال O طبعا + +277 +00:20:48,120 --> 00:20:53,280 +تعرف انت ساعات ال ω بيكون هذا الحرف موجود في ساعة + +278 +00:20:53,280 --> 00:20:57,880 +نحو اوميجا بيكون هذا اللمس محطوط عليها فهذا هو حرف + +279 +00:20:57,880 --> 00:21:04,270 +ال ω باللغة اليونانية وهو بمثل ال Oطبعا فى الرصيم + +280 +00:21:04,270 --> 00:21:07,690 +فى الرصيم احنا عرفنا الكبيرستر بيحطوا عصاية جبال + +281 +00:21:07,690 --> 00:21:11,030 +عصاية و البكترية عصاية صغيرة و عصاية كبيرة عشان ال + +282 +00:21:11,030 --> 00:21:12,950 +good and bad بتبقوا negative طب المقاومة كيف بدنا + +283 +00:21:12,950 --> 00:21:16,290 +نعملها؟ نعملها هى كوكب تعرفوها مظبوط ولا لا + +284 +00:21:16,290 --> 00:21:19,050 +شايفينتوا المقاومات فى المعمل ولا مش شايفينها مش + +285 +00:21:19,050 --> 00:21:23,090 +بيكون محوطة بخشب و عليها ألوان لو جيبت شكوش و خبطت + +286 +00:21:23,090 --> 00:21:27,630 +الخشب بلاجة لسلك متعواج زي هيك طب ليش عاملوله هيك + +287 +00:21:27,630 --> 00:21:35,450 +سلك متعواج طب ليش ماملوليه؟انتوا عارفين ليش يعملوه + +288 +00:21:35,450 --> 00:21:38,850 +هيك؟ عشان يقولوا ان حركة هنا صعبة في مقاومة ان + +289 +00:21:38,850 --> 00:21:44,130 +الطريق مش عدلى، الطريق متعرجة عشان يدّيك إحاء ان + +290 +00:21:44,130 --> 00:21:47,170 +في عندك مقاومة حركة، بس، لكن مش الواحد يقول يا + +291 +00:21:47,170 --> 00:21:49,250 +الله دي هو الخشب لو جات أعطاه بصير السيلك هذا + +292 +00:21:49,250 --> 00:21:52,690 +متعوج، متعوج، لأ، برضه السيلك عادل بيكون، تمام؟ + +293 +00:21:52,690 --> 00:21:55,790 +يعني هو زي .. زي أي سيلك عادي، بس بتلاقي هذا مثلا + +294 +00:21:55,790 --> 00:21:59,970 +من حاسب، هذا من مادة مختلفة، silicone ولا أي حاجة + +295 +00:21:59,970 --> 00:22:06,590 +بيكون له مقاومة معينةبقول اذا و التو حكينا it + +296 +00:22:06,590 --> 00:22:10,110 +should be noted that the resistance R is + +297 +00:22:10,110 --> 00:22:14,970 +independent of I or V لا يعتمد لا على I ولا على V + +298 +00:22:14,970 --> 00:22:17,590 +but found to be directly proportional to the + +299 +00:22:17,590 --> 00:22:20,510 +length of the resistor and inversely proportional + +300 +00:22:20,510 --> 00:22:25,010 +to the cross sectional area لقوا ان السلك كل ما + +301 +00:22:25,010 --> 00:22:30,270 +طال مقاومته بتزيد وكل ما عرض مقاومته بتقل برضه هذا + +302 +00:22:30,270 --> 00:22:35,730 +منطقي كل ما زاد السلكطولة الطريق تعب الإلكترون وهو + +303 +00:22:35,730 --> 00:22:39,750 +بتحرك، معناته صار فيه عندي مقاومة، كل مكان السلك + +304 +00:22:39,750 --> 00:22:43,410 +عريض، أريحة الإلكترون يتحرك، وبالتالي المقاومة + +305 +00:22:43,410 --> 00:22:50,510 +أجال، فجالوا إن R تتناسب ترضيا مع إيه وعكسيا مع + +306 +00:22:50,510 --> 00:22:55,510 +إيه، ثابت التناسب يتبج من مادة لمادةهذا الثابت + +307 +00:22:55,510 --> 00:23:00,410 +سموه Resistivity المقومية التوصيلية أو الموصيلية + +308 +00:23:00,410 --> 00:23:07,810 +عكسه تمام المقاومية طبعا هذه بتسوي O متر لأن هذه + +309 +00:23:07,810 --> 00:23:11,450 +متر و هذه متر تربية فبتصير عندي هنا متر فهذه + +310 +00:23:11,450 --> 00:23:16,410 +محددتها O متر طبعا ال Resistivity كمية علمية لكن + +311 +00:23:16,410 --> 00:23:19,370 +مش تجارية فمددوهاش واحدة خاصة بيها قالوا خليها O + +312 +00:23:19,370 --> 00:23:23,410 +متر تمام و ال convectivity اللي حكيته عنها عكسها + +313 +00:23:24,870 --> 00:23:28,230 +ووحدتها عكسها البروشورية في constants هو is called + +314 +00:23:28,230 --> 00:23:31,510 +the resistivity of the material of which the + +315 +00:23:31,510 --> 00:23:35,150 +resistor is made تمام و ال reciprocal of the + +316 +00:23:35,150 --> 00:23:39,990 +resistivity عكس ال resistivity is called the + +317 +00:23:39,990 --> 00:23:44,690 +conductivity بسموها السجما بسوء واحد على رمط طبعا + +318 +00:23:44,690 --> 00:23:49,630 +هذه واحدتها اوم متر و هذه واحدتها واحد على اوم متر + +319 +00:23:49,630 --> 00:23:55,790 +مش مشكلةالراو والسيجما للمواد هتعطيلكم موجودة في + +320 +00:23:55,790 --> 00:24:01,730 +الكتب وموجودة في كل المواقع حسبت بالمعامل وصارت كل + +321 +00:24:01,730 --> 00:24:07,830 +المادة لها قيمة معينة وتعطى وموجودة في كل المواقع + +322 +00:24:07,830 --> 00:24:12,910 +الذات الصلة تمام حاليا عندي بعض المواد بس عشان + +323 +00:24:12,910 --> 00:24:17,560 +نكون في اناسينسالسلفر أجواء أنواع المواد + +324 +00:24:17,560 --> 00:24:21,940 +كcontactors .. السلفر .. طبعا بيجي ورا نحاس .. + +325 +00:24:21,940 --> 00:24:25,660 +طبعا احنا ليش بنفضل هدا عن هدا؟ عشان الفلوس .. + +326 +00:24:25,660 --> 00:24:30,040 +عشان الرخص .. تمام؟ وإلا كان أخدناها الأيام هتغالق + +327 +00:24:39,200 --> 00:24:46,680 +مش مادة عازلة وموصلة شوفوا ال glass جديش 3×10 أقصى + +328 +00:24:46,680 --> 00:24:51,390 +10تلاتة في عشرة و اصعاشرة هنا واحد و ستة عشر في + +329 +00:24:51,390 --> 00:24:54,930 +عشرة و السرب تمانية شوف الفرق الشاسع بينهم عشان + +330 +00:24:54,930 --> 00:24:59,710 +كده احنا نظريا بنعتبر الكبر او ال silver مقاومة to + +331 +00:24:59,710 --> 00:25:03,970 +zero لما نيجي نعمل مقاومة زي هي رفمة + +332 +00:25:07,210 --> 00:25:11,830 +هذا سيليك انحاسي فانا جديش باعتبر هذا مقاومته زيرو + +333 +00:25:11,830 --> 00:25:16,530 +تقريبا نظريا هو قيمة بس في عشر وسنة بتمانية غير + +334 +00:25:16,530 --> 00:25:19,450 +لما يكون هذا الله علا مش يكون طبعا مش بدرورة عشرة + +335 +00:25:19,450 --> 00:25:23,610 +و عشرة لكن في النهاية حتى لو كان قيمته خمسة غير + +336 +00:25:23,610 --> 00:25:25,990 +لما يكون هذا خمسة في عشر و نقص خمسة و نقص عشرة + +337 +00:25:25,990 --> 00:25:30,690 +يكون صغير فنظريا نحن نعتبر ال conductors مقاومتهم + +338 +00:25:30,690 --> 00:25:33,430 +تقريبا زيرو طبعا كنتوا بتعرفوا الزيرو موجود في ال + +339 +00:25:33,430 --> 00:25:37,250 +super conductorsوالـ superconductors لحد الآن + +340 +00:25:37,250 --> 00:25:41,490 +مالوش تطبيق عملي لأنه بيصير ال superconductors عن + +341 +00:25:41,490 --> 00:25:46,890 +درجة حرارة كتير واطية .. كتير واطية وبالتالي تكلفة + +342 +00:25:46,890 --> 00:25:50,690 +اني اجيب درجة حرارة واطية ما زالت عالية انها تكون + +343 +00:25:50,690 --> 00:25:55,140 +تستخدم بالامور العمليةتمام حتى في دول أوروبا اللي + +344 +00:25:55,140 --> 00:25:58,500 +دالما درجة الحرارة عندهم مواطية برضه بنقلت كتير من + +345 +00:25:58,500 --> 00:26:05,940 +كده فوق 200 ساعة 200 Kelvin يعني امور لسه شوية + +346 +00:26:05,940 --> 00:26:10,720 +عالية هذا temperature coefficient عندنا هنعرف شباب + +347 +00:26:10,720 --> 00:26:16,000 +انه درجة الحرارة بتأثر على المقاومة وبالتالي بتأثر + +348 +00:26:16,000 --> 00:26:20,960 +من مادة لمادة بمعامل عندنا هناخده تمام + +349 +00:26:22,300 --> 00:26:29,580 +الان بدي انا اربط فرق الجهدوالـ Convectors ربطهم + +350 +00:26:29,580 --> 00:26:34,940 +بقانون Ohm وقلت انه R بيساوي V على I وسمته قانون + +351 +00:26:34,940 --> 00:26:39,800 +Ohm هذا قانون Ohm إلى صيغة أخرى صيغة أشهر علميا + +352 +00:26:39,800 --> 00:26:45,340 +هذه صيغة مشهورة تجاريا في صيغة بيجيبلي أصل الجهد + +353 +00:26:45,340 --> 00:26:48,980 +وهو المجال الكهربائي بربطني ب Resistivity بيقولي + +354 +00:26:48,980 --> 00:26:53,740 +خليني أشوف هالشغلة هذا السلك السلك الأحمر طوله L و + +355 +00:26:53,740 --> 00:26:57,560 +ال cross sectional area تبعته I وفيه تيارهي + +356 +00:26:57,560 --> 00:27:03,220 +الطيارة طبعا في فرق جهد فيه قال لي فرق الجهد لو + +357 +00:27:03,220 --> 00:27:07,400 +بدك تجيبه تقدر تجيبه أصلا من شدة المجال ولا لا + +358 +00:27:07,400 --> 00:27:11,480 +بقدر أجيب شدة المجال جوا هذا الـ select بقوله أه + +359 +00:27:11,480 --> 00:27:16,120 +بقوله الجهد بالسوء السالي بالتكامل E ضد ال DL + +360 +00:27:16,120 --> 00:27:20,400 +ذكروا هذا القانون؟ اذا انا ممكن أجيب شدة المجال + +361 +00:27:20,400 --> 00:27:24,980 +اذا فرق الجهد معروفبقول the potential difference V + +362 +00:27:24,980 --> 00:27:28,540 +is related to the electric field و بدي افترض ان ال + +363 +00:27:28,540 --> 00:27:31,360 +electric field assumed to be uniform عشان اطلعه + +364 +00:27:31,360 --> 00:27:35,640 +برا التكامل دلتر دول تكامل دي L قدش تكامل دي L؟ L + +365 +00:27:35,640 --> 00:27:39,100 +فبقولي assumed to be uniform for the relation V + +366 +00:27:39,100 --> 00:27:41,840 +بيساوي ايه في L طبعا V السعر بينسوها لان انا + +367 +00:27:41,840 --> 00:27:44,320 +مااخدها absolute value على اعتبار ان هذا الشيء هو + +368 +00:27:44,320 --> 00:27:46,800 +Delta V Delta V من initial ل final او من final ل + +369 +00:27:46,800 --> 00:27:51,520 +initial لا تفرقش معايا فيها فضلات جهد هذا هوطيب + +370 +00:27:51,520 --> 00:27:58,920 +بقولي لكن V بتسوي I في R V بتسوي I في R طيب إذا + +371 +00:27:58,920 --> 00:28:06,160 +صار I في R بتسوي E في L حلو R توا طلعتها بتسوي Rho + +372 +00:28:06,160 --> 00:28:12,960 +L على A Rho L على A و .. و ال I إلها دعوة بال + +373 +00:28:12,960 --> 00:28:16,500 +current density فبقولي substituting for I from the + +374 +00:28:16,500 --> 00:28:19,840 +relation I بتسوي J في ال A current density في ال + +375 +00:28:19,840 --> 00:28:27,220 +areaوالـ R بيصيح رو L على A عوض شباب عوضوا هنا بدل + +376 +00:28:27,220 --> 00:28:34,340 +I بيضحط JA وهي R بدلها بيصيح رو L على A شوفوا ال A + +377 +00:28:34,340 --> 00:28:40,430 +مع ال A راحت بيصيح E في ال LالـA مع الـA راحت + +378 +00:28:40,430 --> 00:28:44,570 +والـA مع الـA راحت صحيح اندي جي في الروح بالثاوي E + +379 +00:28:44,570 --> 00:28:49,510 +طبعا هذه ماهي واحدة على سجمة صح اذا اذا ممكن اقول + +380 +00:28:49,510 --> 00:28:54,870 +جي بالثاوية سجمة في E هذا + +381 +00:28:54,870 --> 00:28:59,910 +قانون ام صيغة تانية لقانون ام خليني اعملها بس انا + +382 +00:28:59,910 --> 00:29:06,060 +اعملها جي بالثاوية سجمة في E اللي انا طلعتهبرضه زي + +383 +00:29:06,060 --> 00:29:09,400 +ما حكينا هذا صيغة أخرى للقانون Ohm J بيستوي Sigma + +384 +00:29:09,400 --> 00:29:13,660 +في E أو قانون يعطينا قيمة current density that if + +385 +00:29:13,660 --> 00:29:17,840 +the ratio of the current density اللي هي J and the + +386 +00:29:17,840 --> 00:29:22,220 +electric field is constant العلاقة بين J وE is + +387 +00:29:22,220 --> 00:29:26,720 +constant والثابت هذا هو conductivity Sigma this + +388 +00:29:26,720 --> 00:29:29,600 +statement is known as Ohm's law + +389 +00:29:33,290 --> 00:29:34,430 +حلينا نحل مثال + +390 +00:29:37,540 --> 00:29:39,980 +هذه أمثلة برضه بسم جراد احنا جبناها عشان نقول فيها + +391 +00:29:39,980 --> 00:29:43,140 +أمثلة وين كانت سهلة يعني يا جد هتشوفوا اللي بيشتغل + +392 +00:29:43,140 --> 00:29:47,780 +calculator لإن انت لا مخك عايش تشتغل ولا حتى ايدك + +393 +00:29:47,780 --> 00:29:50,780 +حتى تشتغل بيقول لي calculate the resistance بيطلو + +394 +00:29:50,780 --> 00:29:56,320 +R بيطلو R the resistance of aluminium cylinder لما + +395 +00:29:56,320 --> 00:30:00,460 +يقولك aluminium شباب عطول روح اذا انت في امتحان + +396 +00:30:00,460 --> 00:30:02,620 +بديكي اياه او اذا مش في امتحان بيقولكي افتح الكتاب + +397 +00:30:02,620 --> 00:30:05,120 +و جيبلي رول الالمنيوم اللي جدوا اللي توشوا بديتكم + +398 +00:30:05,120 --> 00:30:10,930 +اياه اذا الروح ماتاياof length 10 cm طولها 10 cm + +399 +00:30:10,930 --> 00:30:14,750 +and cross sectional area 10 to 10 to power minus 4 + +400 +00:30:14,750 --> 00:30:18,230 +meter تربية وعطاك ال ايه repeat the calculation + +401 +00:30:18,230 --> 00:30:21,810 +for a similar glass cylinder نفس ال cylinder لكن + +402 +00:30:21,810 --> 00:30:25,730 +مصنوعة من ال glass جديش المقاومة تبعتك فالحل + +403 +00:30:25,730 --> 00:30:31,110 +solution هذا هو هذا القرن رو + +404 +00:30:33,740 --> 00:30:37,740 +عشرة ثانوية متين بس بدي أحولها لصيلة 0.1 والإيه + +405 +00:30:37,740 --> 00:30:42,720 +هده هي موجودة Calculator اشتغلت طلعتناها المقارنة + +406 +00:30:42,720 --> 00:30:49,770 +طلعت 1.4 10⁻⁵ Ohm طبعا صغيرةطب مظبوطا لأ جالى نفس + +407 +00:30:49,770 --> 00:30:54,550 +الستوعة نفس السليك و نفس الطول و نفس المساعة باسم + +408 +00:30:54,550 --> 00:30:57,830 +استوعة من الجلاص بتتوقع المقاومة ده زي ما هي لأ + +409 +00:30:57,830 --> 00:31:01,770 +الجلاص ده مدعازي لأ جالى فاية طب من اين جيجي بروه + +410 +00:31:01,770 --> 00:31:06,090 +جالى برضه شحطة برضه ده عندك في الجداوي تمامشحطناها + +411 +00:31:06,090 --> 00:31:09,950 +و عوضنا جيبناها من الجدول طلعت واحد و نص عشر أقصى + +412 +00:31:09,950 --> 00:31:14,610 +تلتاشر أهم مش موجودش المقارنة كبيرة بين ناقص خمسة + +413 +00:31:14,610 --> 00:31:18,110 +و عشر أقصى تلتاشر فبالتالي هنا في مقامة هناك + +414 +00:31:18,110 --> 00:31:21,430 +المقامة تقريبا negligible و بتكون approximately + +415 +00:31:21,430 --> 00:31:26,730 +zero تمام هذا مثال شوفوا مثال مصعب؟ حتى لأ بالتالي + +416 +00:31:26,730 --> 00:31:31,430 +ال quiz هذا شتبته هيكون سهل إذا على الحال هي هي ان + +417 +00:31:31,430 --> 00:31:36,010 +شاء الله شوف كمان مثال هذا ايش مشكلته؟بيقول + +418 +00:31:36,010 --> 00:31:38,990 +calculate the resistance per unit length لكل واحدة + +419 +00:31:38,990 --> 00:31:43,950 +الطول عشان كده مش بيعطيك الطول فإيش كمان؟ of a 22 + +420 +00:31:43,950 --> 00:31:48,010 +-gauge-nichrome هذي اسم سابقة يا شباب يعني 22 + +421 +00:31:48,010 --> 00:31:50,670 +-gauge-nichrome مش اللي واحد يقول 22 مين يستخدمها + +422 +00:31:50,670 --> 00:31:55,750 +المطايلة من أول عالم لأ تمام؟ which has a radius + +423 +00:31:55,750 --> 00:32:00,050 +of 0.321 millimeters يعطيك ال radius بترى دي + +424 +00:32:00,050 --> 00:32:00,770 +بالمساحة؟ + +425 +00:32:03,820 --> 00:32:07,400 +بدي .. تمام بس بدي ال A انا لان ال A كده اجيبها + +426 +00:32:07,400 --> 00:32:13,820 +اول بدي اجيب ال A by Arthur B يعني مش مساحة + +427 +00:32:13,820 --> 00:32:19,480 +الصوارى مساحة المقطع مش مساحة الصوارى هيتركوا + +428 +00:32:19,480 --> 00:32:23,780 +الصوارى ده انه انا هذه الشي شباب مش مساحة السليك + +429 +00:32:23,780 --> 00:32:29,880 +مساحة مقطع السليكللعرض طبعه بالجسم العرض فبالتالي + +430 +00:32:29,880 --> 00:32:32,660 +اول حاجة ايه بيساوي بيقعد تنبيه طلعتها بعدين + +431 +00:32:32,660 --> 00:32:35,520 +مابيضالش اشي طبعا هو بيكتبولنا الطول بقوله مابديش + +432 +00:32:35,520 --> 00:32:39,840 +الطول انا انا بدي R على L بدي R على L وبالتالي + +433 +00:32:39,840 --> 00:32:44,640 +بقول Now R بيساوي رو الى على A R على L بيساوي رو + +434 +00:32:44,640 --> 00:32:48,840 +على A اذا R على L بيساوي رو على A رو هذه برضه تقطع + +435 +00:32:48,840 --> 00:32:54,020 +من في الجداولبعطينا إياها و طلعت 4.6 only كل متر + +436 +00:32:54,020 --> 00:33:00,400 +يعني كل متر 4.6 لو اتنين متر مضرباتي في اتنين وهذه + +437 +00:33:00,400 --> 00:33:08,280 +مثلة كتير سهلة مافيش عندى مشكلة برضه شغلة سهلة + +438 +00:33:08,280 --> 00:33:12,020 +أوبناتشنجاف عندها كتير هو علاقة المقاومة مع درجة + +439 +00:33:12,020 --> 00:33:12,600 +الحرارة + +440 +00:33:15,050 --> 00:33:18,730 +الان ايش بتسوي ضيوف الحرارة في الحركة و في الأمور؟ + +441 +00:33:18,730 --> 00:33:23,470 +بيقولني اتفقنا ان الطيار الكهربائي هو حركة شحنات + +442 +00:33:23,470 --> 00:33:27,770 +جوا المادة، في عندي فرخ جهد، الالكترون كان فيه، + +443 +00:33:27,770 --> 00:33:33,250 +اتحرك، طب هو بتحرك جوا، جوا السلك، فاض السلك زي + +444 +00:33:33,250 --> 00:33:39,020 +المي ما هي بتمشي بمواسير فارغة؟ لألأن السلك من + +445 +00:33:39,020 --> 00:33:41,860 +داخله ليس فاضي، لو كان فاضي يتحرك، يصيب واسط عازل، + +446 +00:33:41,860 --> 00:33:46,400 +يصيب فلعب، إذا السلك من داخله عبارة عن مادة، وهذه + +447 +00:33:46,400 --> 00:33:51,640 +المادة فيها سكان، وسكان المادة atoms، سكان المادة + +448 +00:33:51,640 --> 00:33:56,490 +atoms، هجيتي من داخلها ممكن تتحركهدول ال atoms إذا + +449 +00:33:56,490 --> 00:34:00,470 +كانوا صعبين ومشاغبين بيخلونك تتحرك بسهولة صح ولا + +450 +00:34:00,470 --> 00:34:03,890 +لأ؟ هتتصور إن أنت بدك تمشي في شارع معاك سيارة بدك + +451 +00:34:03,890 --> 00:34:07,590 +تمشي في شارع الشارع في سيارات مين أسهل لك تمشي في + +452 +00:34:07,590 --> 00:34:10,370 +سيارات في شارع في سيارات واقفة و سيارات بتتحركها؟ + +453 +00:34:11,490 --> 00:34:15,070 +الواقفة حصلة لما تكون واقفة تتطلع أنت وانفرغات + +454 +00:34:15,070 --> 00:34:18,310 +وبتضرب غيارات خط وبتمشي لكن لما تكون متحركة وانت + +455 +00:34:18,310 --> 00:34:21,770 +ماشي بتضرب في صيارة عينة بتنجف ستنام ولا لأ؟ + +456 +00:34:21,770 --> 00:34:27,410 +وبالتالي كل مكان السكان قليلين حركة وهم ال atoms + +457 +00:34:27,410 --> 00:34:31,690 +بيكون حركة الإلكيونات وبالتالي التيار أسفل ال + +458 +00:34:31,690 --> 00:34:36,700 +atoms ايش اللي بيخلي حركتهم تزيد؟ درجة الحرارةلأن + +459 +00:34:36,700 --> 00:34:39,220 +إذا كنت ذاكرين زمان حكينا في المادة، المادة ال + +460 +00:34:39,220 --> 00:34:44,560 +atoms هدول بيكونوش ساكتين عند كل ما زادت الحرارة، + +461 +00:34:44,560 --> 00:34:48,060 +بيهتزوا، بيعملوا حركة توفقية بسيطة، كل ما زادت + +462 +00:34:48,060 --> 00:34:52,310 +الحرارة هذه الحركة بتزيدعشان كده احنا قلنا simple + +463 +00:34:52,310 --> 00:34:56,330 +harmonic motion تُعطى كمثال لإن هنا أهميتها لإن + +464 +00:34:56,330 --> 00:34:59,470 +تركيبة دُول في المادة هي simple harmonic motion + +465 +00:34:59,470 --> 00:35:03,850 +درجة الحرارة تزيد من حركة ال atoms داخل المادة + +466 +00:35:03,850 --> 00:35:09,310 +وبالتالي بتخلل من إمكانية حركة الشحنات لما يكون في + +467 +00:35:09,310 --> 00:35:15,070 +عندى فرخ جذب فبالتاليدرجة الحرارة بتزود المقاومة + +468 +00:35:15,070 --> 00:35:19,110 +وعرفنا ليش يعني بتزود حركة ال atoms بيقول it is + +469 +00:35:19,110 --> 00:35:22,850 +found that resistivity increases with temperature + +470 +00:35:22,850 --> 00:35:27,070 +increases with temperature كم بالزيت أقل و ده + +471 +00:35:27,070 --> 00:35:31,890 +بقانون طبعا عكس اللي هو ال semiconductors في ال + +472 +00:35:31,890 --> 00:35:37,130 +semiconductor الحرارة بتزود ده التيار يعني بقلل + +473 +00:35:37,130 --> 00:35:41,240 +المقاومة ليه في ال semiconductor في مشكلةفي الـ + +474 +00:35:41,240 --> 00:35:45,320 +semiconductor بدك حرارة تنجو للإترون من الحزمة + +475 +00:35:45,320 --> 00:35:50,020 +التكافؤية للحزمة الموصلية أما في الـ conductors لأ + +476 +00:35:50,020 --> 00:35:52,840 +في ال conductors أصلا الإترونات موجودين في ال + +477 +00:35:52,840 --> 00:35:56,080 +convection band already موجودين فبالتالي يبنيهم + +478 +00:35:56,080 --> 00:36:00,500 +يتحركوا مابدهمش يكونوا السكان مشاغبين يكونوا + +479 +00:36:00,500 --> 00:36:04,040 +ساكتين كل ما داشت الحرارة جلت مش هنجول في الحرارة + +480 +00:36:04,270 --> 00:36:08,930 +بتزيد الحركة و في الشتاء الناس بتبص و بتظل ساكنة و + +481 +00:36:08,930 --> 00:36:12,130 +هذا بالكلام بنطبق على ال atoms فلما تكون تتحرك + +482 +00:36:12,130 --> 00:36:15,930 +قليلا بتظل تبصين قاعدين زواد الحرارة بتكتر حركتهم + +483 +00:36:15,930 --> 00:36:19,690 +وبالتالي بتزيد المقاومة طبعا الانلاق اللي وجدوها + +484 +00:36:19,690 --> 00:36:23,610 +كان رو اكوار رو نوت و one plus alpha T minus T نوت + +485 +00:36:23,610 --> 00:36:28,450 +هجدشي رو نوت جالي resistivity عن T نوت و الرو ده + +486 +00:36:28,450 --> 00:36:32,230 +resistivity ال T هذه Alpha ثابت يعتمد على المادة + +487 +00:36:32,230 --> 00:36:37,510 +بمعنى اخر استجابتالمادة ده الحرارة تختلف من نوع + +488 +00:36:37,510 --> 00:36:41,830 +لنوع وكل مادة إلها ألف خاصة بيها ثم تويه شفنة في + +489 +00:36:41,830 --> 00:36:44,050 +ال table و ال raw and raw not are the + +490 +00:36:44,050 --> 00:36:47,570 +resistivities of T and T not respectively + +491 +00:36:47,570 --> 00:36:51,330 +similarly it is found ده طبعا لو حط R و هنا R not + +492 +00:36:51,330 --> 00:36:55,970 +نفس القانون بطلعهو برضه ممكن نحل عليهم أمثلة لان + +493 +00:36:55,970 --> 00:37:00,150 +طبعا على اعتبارنا المثابتين فهذه القانون أو هذه + +494 +00:37:00,150 --> 00:37:03,890 +القانون بس بالدين المعلومة اللي بدنا إياها أنه إيش + +495 +00:37:03,890 --> 00:37:09,450 +بيصير في المقاومة مع درجة حرارة بالزيت دماغ هذا + +496 +00:37:09,450 --> 00:37:14,870 +اللي بدنا إياه طبعا المقاومة لال conductors الآن + +497 +00:37:14,870 --> 00:37:20,990 +موضوع شوية ببدأ من الموضوع الحسابية electric power + +498 +00:37:22,300 --> 00:37:26,340 +القدرة الكهربية هجيت شباب احنا القدرة أخدها + +499 +00:37:26,340 --> 00:37:32,360 +فيزياليف ولا لأ القدرة مين يذكرني فيها و على ايه + +500 +00:37:32,360 --> 00:37:38,800 +او الزمن ايام حاكينا وقتيش بصير مفهوم القدرة له + +501 +00:37:38,800 --> 00:37:44,620 +هنية لما يدخل الزمن وانا ضابط مثال فيزياليف اعيده + +502 +00:37:44,620 --> 00:37:49,370 +ويقول في عندي حمار وفي عندي حصان من أجلهالحصان + +503 +00:37:49,370 --> 00:37:53,350 +عارف ايه؟ الاتنين اللي قلناه محلته هدّلهم الاتنين + +504 +00:37:53,350 --> 00:37:56,390 +ممكن يحلتوا هدّلهم نقول الحمار أعمل شغل و الحصان + +505 +00:37:56,390 --> 00:37:59,030 +أعمل شغل و الاتنين نفس الشغل هذا عارف دلوم و هذا + +506 +00:37:59,030 --> 00:38:01,910 +عارف دلوم لكن الحصان لو أعمل ساعة لحمار كام ساعة + +507 +00:38:01,910 --> 00:38:06,350 +بيدوم؟ بدوام ممكن ندويه صح ولا لأ؟ عشان كده نقول + +508 +00:38:06,350 --> 00:38:11,750 +الحصان أنشط قدرته على تمام؟ اذا الوكتيش بيجي مفهوم + +509 +00:38:11,750 --> 00:38:14,950 +القدرة لما يدخل الزمن برضه تدينا مثال أقرب على + +510 +00:38:14,950 --> 00:38:18,440 +الكهرباهو ماتوري الميه اللى برفقلكم الميه فوق + +511 +00:38:18,440 --> 00:38:21,600 +البراميل فى عندنا احصان فى تلتة و فى احصان و نص و + +512 +00:38:21,600 --> 00:38:24,320 +فى تلت احصان صح او لا لأ حاجات ان تقولانكم برميل + +513 +00:38:24,320 --> 00:38:29,680 +فوق الف و خمس بيت لتر كوب و نص فى الآخر ابو الحصان + +514 +00:38:29,680 --> 00:38:33,840 +و ابو التلت احصان هيقبل هى البرميل تماما لأ الشغل + +515 +00:38:33,840 --> 00:38:37,940 +واحد لكن ليش انا بديب ابوه احصان و نص عشان بدي + +516 +00:38:37,940 --> 00:38:42,670 +أسرعمصبوط ان الميّه ما تجيش عشرة ساعات، بتجيها + +517 +00:38:42,670 --> 00:38:46,370 +ساعتين، بدنا نعديها البراميل و نخلص، بالتالي بنجيب + +518 +00:38:46,370 --> 00:38:52,770 +موتور قدرته أعلى، عشان يعمل نفس الشغل بزمن أقل، + +519 +00:38:52,770 --> 00:38:56,150 +اذا لما ندخل الزمن على الشغل، بيصير عندنا مفهوم + +520 +00:38:56,150 --> 00:39:03,510 +القدرة،طيب، الميّه بدأت تطلع فوق، هنا الشحنات بدأت + +521 +00:39:03,510 --> 00:39:09,150 +تطلع فوق،الشحنات بتتطلع فوق ففي تشابه اكبير بين + +522 +00:39:09,150 --> 00:39:13,910 +الميه والشحنات طيار ميه طيار شحنات قدرة البطارية + +523 +00:39:13,910 --> 00:39:17,230 +زي ما طول الميه عكالة البطارية زي النفورة ايامها + +524 +00:39:17,230 --> 00:39:21,230 +هي جت electric power طب ال power هناك كانت واحدة + +525 +00:39:21,230 --> 00:39:24,250 +اتهواطه هنا ايش بتكون واحدة اتهاطي برضه واط نفس + +526 +00:39:24,250 --> 00:39:27,650 +القضية بيقول ي consider the circuit shown in the + +527 +00:39:27,650 --> 00:39:32,780 +figure هاي الميه تبعتناحاجات احنا الميه بنعديها + +528 +00:39:32,780 --> 00:39:35,240 +فوق في البراميل بنخزنها و بنخليها جوا في البراميل + +529 +00:39:35,240 --> 00:39:39,420 +و خلاص ليش بنعديها في البراميل عشان بتنزلها عشان + +530 +00:39:39,420 --> 00:39:43,400 +تعود تنزل في المصورة تمام حاجات لما تفتحوا المصورة + +531 +00:39:43,400 --> 00:39:47,500 +بدكم مضطر ينزلها و لا تنزل لحالها تنزل لحالها + +532 +00:39:47,500 --> 00:39:50,920 +لأنهم ينقلي و بتنزل تحت انتم بدكم مضطروا ترلعها + +533 +00:39:50,920 --> 00:39:55,020 +فوق تمام فهو المطور الميه اللي بيطلحها فوق هو هذه + +534 +00:39:55,020 --> 00:39:58,980 +البطنية بيطلّها الميه من هنا لهنا هنا السالب و هنا + +535 +00:39:58,980 --> 00:40:03,400 +الموجب من واطل عاليباعد كده بعد ما تصل هنا لحالها + +536 +00:40:03,400 --> 00:40:06,340 +بتنزل فتحت المصورة نزلت طبعا مافيش ممكن هي تنزل + +537 +00:40:06,340 --> 00:40:11,260 +هيك هي تنزل الطريق تاني لأنه هنا بطلع بس فتنزل هان + +538 +00:40:11,260 --> 00:40:14,800 +ايش بيصير الشباب ان الشحنات وهي ناش هنا ناش من + +539 +00:40:14,800 --> 00:40:19,420 +هالهان بتكتسب طاقة ايش اللي خلال الميانين تنزل + +540 +00:40:19,420 --> 00:40:23,980 +طاقة الوضع تبعتها نزلتها اذا ال motor كسبها طاقة + +541 +00:40:24,460 --> 00:40:28,880 +نظبط بهذه الطاقة واتحولت لطاقة حركة وصارت عندي + +542 +00:40:28,880 --> 00:40:33,220 +فتحة مسئولة وديتني مية وإيها سرعة مش بسيطة مرات + +543 +00:40:33,220 --> 00:40:39,120 +بتكون، بيقوللي هي تياري أناطبعا على اتفاقنات تيارة + +544 +00:40:39,120 --> 00:40:44,060 +و شعارات الموجة بقى بيقول a positive charge dq + +545 +00:40:44,060 --> 00:40:49,800 +will gain potential هتكتسب طاقة لما تطلع from + +546 +00:40:49,800 --> 00:40:53,420 +point A to point B through the battery لأنه من + +547 +00:40:53,420 --> 00:40:57,900 +الواطل الآلي من A لB مش A سلبة و B موجبة في + +548 +00:40:57,900 --> 00:41:01,490 +البطارية زي لما هادي بتطلعهااكتسبت طاقة ولا ما + +549 +00:41:01,490 --> 00:41:05,530 +اكتسبتش طاقة؟ اكتسبت طاقة والطاقة هتتخزنها تفلتها + +550 +00:41:05,530 --> 00:41:09,950 +تفقدها تعاود تتحول لطاقة حركة زي الميه طلعت انا + +551 +00:41:09,950 --> 00:41:14,050 +الميه فوق الميه صار فيها عندها طاقة واضح افتح + +552 +00:41:14,050 --> 00:41:18,210 +المصورة بتنزل الميه وتتحول طاقة الوضع لطاقة حركة + +553 +00:41:18,210 --> 00:41:22,870 +تقولني هام وهي طالعة الميه ما بتطلعها طلعت لحالها + +554 +00:41:22,870 --> 00:41:26,730 +ولا بطارية طلعتها؟المطور اللي هو البطارية البطارية + +555 +00:41:26,730 --> 00:41:32,110 +طلعتها. اذا هذه طلعت بفعل قوة خارجية. والقوة + +556 +00:41:32,110 --> 00:41:35,730 +الخارجية هي البطارية. اذا صار في شغل انبدل. هذا + +557 +00:41:35,730 --> 00:41:39,430 +الشغل اللي تخزن جوه عليه الطاقة. فاكتسب الطاقة. طب + +558 +00:41:39,430 --> 00:41:40,190 +هذه الطاقة + +559 +00:41:42,960 --> 00:41:54,340 +نفس الهواء يخسر نفس الهواء نفس الهواء يخسر + +560 +00:41:54,340 --> 00:41:57,940 +نفس الهواء نفس الهواء نفس الهواء نفس الهواء نفس + +561 +00:41:57,940 --> 00:42:01,730 +الهواء نفس الهواء نفس الهواءاذا هذا الانزول شباب + +562 +00:42:01,730 --> 00:42:06,470 +انزول طبيعي اما المش طبيعي انها تطلع من A لB وهذه + +563 +00:42:06,470 --> 00:42:09,210 +المش طبيعي من ساعة ده هي بطارية هي شغلت البطارية + +564 +00:42:09,210 --> 00:42:13,810 +وعكينا زمان انه البطارية شغلتها تدفع الشحنات من + +565 +00:42:13,810 --> 00:42:17,350 +واطي للعالي هي شغلتها تدفع الشحنات من واطي للعالي + +566 +00:42:17,350 --> 00:42:21,290 +ومن عالي لواطي بعدين الشحنات تنزل لحالة بفعل قوة + +567 +00:42:21,290 --> 00:42:25,310 +الجذب والتنافر الطبيعية تمام طيب كيف بيجي أحسبها + +568 +00:42:25,310 --> 00:42:29,850 +ده اللي سهلالـ potential energy بقدر أجيبها إما هي + +569 +00:42:29,850 --> 00:42:32,390 +عبارة عن الشغل و الشغل بالسواء الشحن المنقولة في + +570 +00:42:32,390 --> 00:42:35,530 +فرق الجهود و فرق الجهود هيني بعرفه فرق الجهود تبع + +571 +00:42:35,530 --> 00:42:39,510 +البطارية أو بقول إن دلت ايو بالسواء Q في دلت ايو + +572 +00:42:39,510 --> 00:42:44,760 +كله بقدر أجيبها تمامthis amount is given by .. كيف + +573 +00:42:44,760 --> 00:42:49,040 +بيجيب هذا الشحن الطاقة؟ بقول دي U بتساوي Q .. دي Q + +574 +00:42:49,040 --> 00:42:53,900 +الشحن المنجولة في فرق الجهد دي QV طبعا هذه إبسلون + +575 +00:42:53,900 --> 00:42:57,240 +إليها مفهوم عدا ما نشوفه هذا بتمثل قوة دافعة + +576 +00:42:57,240 --> 00:43:01,700 +كهربية عدا ما نشرح عنه هو نفسه فرق الجهد يعنيDQ في + +577 +00:43:01,700 --> 00:43:05,440 +V قال لي خلاص هاي الطاقة اللي اكتسبتها و اللي + +578 +00:43:05,440 --> 00:43:09,760 +فقدتها حلو اتفاق ما تقول ال power ايش علاقة معاش + +579 +00:43:09,760 --> 00:43:14,540 +مع الزمن حكى زميلكم ان ال power بيساوي شغل على زمن + +580 +00:43:14,540 --> 00:43:20,900 +او DU على DT بقول ال power بيساوي DU على DT وهي DU + +581 +00:43:20,900 --> 00:43:24,860 +طلعتها طبعا بيعملها ده ال DQ على DT في V فرق + +582 +00:43:24,860 --> 00:43:31,520 +الجهود الثابت ايش هذي هاي الطيار اذا هاي ال powerI + +583 +00:43:31,520 --> 00:43:42,020 +V V I V V I V + +584 +00:43:42,020 --> 00:43:48,980 +V I V V I V V I + +585 +00:43:48,980 --> 00:43:55,040 +V V I V V I V V I V V I V V I V V I V V I V V I V + +586 +00:43:55,040 --> 00:43:55,080 +V I V V I V V I V V I V V I V V I V V I V V I V V + +587 +00:43:55,080 --> 00:43:55,180 +I V V I V V I V V I V V I V V I V V I V V I V V I + +588 +00:43:55,180 --> 00:43:55,180 +V V I V V I V V I V V I V V I V V I V V I V V I V + +589 +00:43:55,180 --> 00:43:55,180 +V I V V I V V I V V I V V I V V I V V I V V I V V + +590 +00:43:55,180 --> 00:43:55,180 +I V V I V V I V V I V V I V V I V V I V V I V V I + +591 +00:43:55,180 --> 00:43:55,180 +V V I V V I V V I V V I V V I V V I V V I V V I V + +592 +00:43:55,180 --> 00:43:55,180 +V I V V I V V I V V I V V I V V I V V I V V I V V + +593 +00:43:55,180 --> 00:43:58,090 +I V V I V V I Vايش الوحدة اللي بتكون موجودة؟ كم + +594 +00:43:58,090 --> 00:44:03,230 +كيلو منجول سحدنا صح؟ بس بتكون كيلو ولا كيلو واط؟ + +595 +00:44:03,230 --> 00:44:09,750 +كيلو واط ساعة كيلو واط hour بيكون في الفاتورة + +596 +00:44:09,750 --> 00:44:17,750 +مقدار السحب نفر ال 300 كيلو واط شرطة hour بلا 300، + +597 +00:44:17,750 --> 00:44:24,300 +ده بيت كبير، خليها 200 200 كيلو واط hourمتين كيلو + +598 +00:44:24,300 --> 00:44:28,760 +واط .. عشان .. طيب كام بدنا نضربها؟ ليه ليه تلك + +599 +00:44:28,760 --> 00:44:33,480 +الكهربارية؟ الـ 0.6 حوالي ست أجورات أجل من شكل + +600 +00:44:33,480 --> 00:44:36,340 +أكتر من نص شكل طب بيطلع ليه بديهش مائة و عشرين + +601 +00:44:36,340 --> 00:44:39,800 +شكل؟ حاجة اللي بيسحب متين بديه يدفع كل شهر مائة و + +602 +00:44:39,800 --> 00:44:46,480 +عشرين شكل؟ اذا طيب هذه الوحدة وحدة أيش؟ هي القدرة + +603 +00:44:46,480 --> 00:44:52,620 +القدرة وقت خشي الزمن تلقوا يا شباب هي قدرة وهي زمن + +604 +00:44:52,620 --> 00:44:59,460 +ايش بالدينة؟يول energy إذا هذه وحدة energy إذا أنا + +605 +00:44:59,460 --> 00:45:05,280 +بديني أكمل جداش طاقة كهربية سحبت في الشهر تمام؟ + +606 +00:45:05,280 --> 00:45:08,660 +حاجات كيف بدي أحسبها؟ أنا كيف العداد بيشتغل؟ هل + +607 +00:45:08,660 --> 00:45:13,280 +العداد بيجري لما أفتح الكمبيوتر زي بما بيجري لما + +608 +00:45:13,280 --> 00:45:19,520 +بدي أشغل أطمر؟ لأ إذا إيه الأفراج؟ بقولوا قدرك هي + +609 +00:45:19,520 --> 00:45:24,070 +بتلعب دورالقدرة هي اللي بتلعب دوره عشان كده كل + +610 +00:45:24,070 --> 00:45:28,870 +جهاز كهربائي بيكون مكتوب عليه القدرة ولا لأ ليش؟ + +611 +00:45:28,870 --> 00:45:31,750 +هم بيقولك عشان نسبون يعرف انه الكهربا يبدو يدفع + +612 +00:45:31,750 --> 00:45:36,110 +أخر الشهرة جديش لازم يعمل إحساباته تمام؟ احنا + +613 +00:45:36,110 --> 00:45:40,510 +بتفرجش معانا تمام؟ في كل جهاز بتحيط حتى اللابتوب + +614 +00:45:40,510 --> 00:45:46,270 +اللي لازم يكون في مكان ما بيكون كاتب جديش القدرة + +615 +00:45:46,270 --> 00:45:49,890 +طبعته أي إن كان الجهاز حتى الجوال تبعك بيكون مكتوب + +616 +00:45:49,890 --> 00:45:54,250 +عليهطبعا باعرفش انت عمكم سنس على اجهزة اللي في + +617 +00:45:54,250 --> 00:45:59,050 +داركم ولا لأ جديش ال watt تبعتها منى ادينى المثال + +618 +00:45:59,050 --> 00:46:07,210 +اش اللى .. خلنا نقول المكوية المكوية جديش طبعا + +619 +00:46:07,210 --> 00:46:13,280 +المكوية جديش المكويةالمكوية اللى عندك هيك كتير + +620 +00:46:13,280 --> 00:46:16,760 +يعتبر انا بعرف يعني المكوية اللى كبيرة فى 900 + +621 +00:46:16,760 --> 00:46:20,920 +تقريبا 900 ألف ألف و متين بكل عامة طبعا الأنواع + +622 +00:46:20,920 --> 00:46:24,300 +بتختلف شباب ممكن يكون بس على الأقل اللى أنا عندي + +623 +00:46:24,300 --> 00:46:29,940 +900 تماما يمكن الحياة حسب الأنواع اللى موجودة + +624 +00:46:29,940 --> 00:46:34,340 +المكوية برضه بتختلفالمكوية العادية غير عن المكوية + +625 +00:46:34,340 --> 00:46:37,320 +البخار البخار ممكن تطلع من الف و اربعمية و تطلع + +626 +00:46:37,320 --> 00:46:41,760 +لحد ممكن الف و تمانية بتوصل لكن المكوية العادية مش + +627 +00:46:41,760 --> 00:46:44,880 +على البخار اقل من الف ممكن توصل تمانية سبعمية و + +628 +00:46:44,880 --> 00:46:49,800 +خمسين لكن اكتر دي هاد ممكن في الضرب يه تندير في + +629 +00:46:49,800 --> 00:46:54,220 +البخار خمس مش كتير الف و خمسميةأه في أقعد منها + +630 +00:46:54,220 --> 00:46:59,340 +الشافر بتسخن فيه الميه عشان تعمل الشاي عاققاته ألف + +631 +00:46:59,340 --> 00:47:07,960 +أو ألفين بحدود ألفين ألفين ال boiler انا ممكن انا + +632 +00:47:07,960 --> 00:47:11,840 +افتقدهش ال boiler تبع الميه السخان هذا حد بيوصل + +633 +00:47:11,840 --> 00:47:16,340 +تلت الف و خمسمية و ممكن يوصل خمس تلفطبعا الأطمر + +634 +00:47:16,340 --> 00:47:19,580 +اقراه على الأطمر اللى عنده أطمر هيلاجى فيه زرار + +635 +00:47:19,580 --> 00:47:22,740 +تاتي زرار ماهو احد اتنين تلاتة بيكون مكتوب لك كل + +636 +00:47:22,740 --> 00:47:27,140 +زر قداش ال power تبعته بيوصل ل 3500 شباب ع تلاتة + +637 +00:47:27,140 --> 00:47:34,220 +3500 التلاجة هو اكثر جهاز بيسحب في الدار لكن هو + +638 +00:47:34,220 --> 00:47:39,650 +الف تقريبا لكن ايش مشكلته شغالة 24 ساعةغير عن ال + +639 +00:47:39,650 --> 00:47:42,410 +boiler او الاطمر الاطمر الواحد بيشغله مكسما مربع + +640 +00:47:42,410 --> 00:47:45,870 +ساعة و بطفيه المكوية بيشغلها نص ساعة و بطفيها لكن + +641 +00:47:45,870 --> 00:47:49,350 +التلاجة بيبقى شغالة وين كان التلمستات بيوفر كتير + +642 +00:47:49,350 --> 00:47:53,190 +انه عشان كده بيقولوا توصي لما تفتح باب التلاجة + +643 +00:47:53,190 --> 00:47:56,610 +ماتخليوش الأولاد الصغار يلعبوا فيها لان كل ما فتحت + +644 +00:47:56,610 --> 00:48:00,590 +التلاجة كل ما راحت الحرارة وبالتالي تلزم تشغيل + +645 +00:48:01,830 --> 00:48:04,650 +الشغلة اللى بدنا نكملها للشباب شغلة تانية برضه + +646 +00:48:04,650 --> 00:48:08,770 +معلومة عامة الأمنات اللى برا بتعرفوها قبل انكم + +647 +00:48:08,770 --> 00:48:12,490 +تطلعتوا عليها كلهم زى بعض ايش في ميلي ميجوليش + +648 +00:48:12,490 --> 00:48:18,370 +مكتوب عليها 16 ايش امبير في 16 امبير وفي 8 امبير + +649 +00:48:18,370 --> 00:48:22,070 +او 10 امبير العشرة امبير شباب بيعطوها بس للإنارة + +650 +00:48:23,210 --> 00:48:26,210 +والدار بيجسموها ما بين إنارة ما بين بريزات قوة + +651 +00:48:26,210 --> 00:48:29,970 +لبريزات قبل الحاجة بيعملوها 16 امبير طبعا المفروض + +652 +00:48:29,970 --> 00:48:34,530 +يكون فيه أكتر مرات لما تيجي انت تحط boiler واحد + +653 +00:48:34,530 --> 00:48:37,750 +بيغيرلك الأمان بيجيبك واحد اكتر من 16 امبير بيشتغل + +654 +00:48:37,750 --> 00:48:43,350 +عليها هذه القائدة power بيسوي I في V إذا ماقدر + +655 +00:48:43,350 --> 00:48:48,150 +أقول I بيسوي ال power على V مظبوط شباب؟ اتطلعوا + +656 +00:48:48,150 --> 00:48:53,730 +كدش هذي؟هذه 223 دقيقة وهذه 229 دقيقة على اعتبار + +657 +00:48:53,730 --> 00:49:00,230 +229 دقيقة نجي نشوف خلاني اقول في المطبخ في boiler + +658 +00:49:00,230 --> 00:49:07,770 +بحتوت ونقول ال boiler 3500 دقيقة نشوف التيار إذا + +659 +00:49:07,770 --> 00:49:15,690 +فجوز ال 16 أمبير بنزل الأمان هذا هتلاقي 3522 دقيقة + +660 +00:49:15,690 --> 00:49:21,010 +ما أعرف كم تطلع يمكن حوالي 15 دقيقة تقريبااحسبها، + +661 +00:49:21,010 --> 00:49:25,010 +مين معاها كان كلتها؟ تلات تلاف و خمسمية على ماتين + +662 +00:49:25,010 --> 00:49:28,490 +و عشرين، اه اعطا اي جوال قلتك، انا جيت و بيتذمرش + +663 +00:49:28,490 --> 00:49:28,990 +ان كان كلتها + +664 +00:49:35,320 --> 00:49:40,380 +لو التلاجة شغالة بيصير فيه بيفصل لو تلجة نفس + +665 +00:49:40,380 --> 00:49:44,380 +المطبخ عادى كده في المطبخ بحاجة كهربائية يعملوا + +666 +00:49:44,380 --> 00:49:48,560 +توزيع انه مش كل الابريز في المطبخ تكون على نفس + +667 +00:49:48,560 --> 00:49:52,800 +الأنبعاد وإلا لو انا على نفس الابريز حاطيت تلاجة + +668 +00:49:52,800 --> 00:49:57,350 +وحاطيت مثلر وحاطيت نفس ال boiler هينزلمش بتحملش + +669 +00:49:57,350 --> 00:50:03,250 +لإنه فوق ال 16 مين ينزل مرة ما هو بيعملوها أمان + +670 +00:50:03,250 --> 00:50:06,350 +أكتر لكن هو لما يحطوا 16 أمبير معناته maximum + +671 +00:50:06,350 --> 00:50:11,330 +تبعته 16 أمبير هي هيك مصنوعة طبعا انتوا عارفين انه + +672 +00:50:11,330 --> 00:50:15,450 +ليش هيك عاملينه؟ بيقولك إذا علق ومانزلش الأمان + +673 +00:50:15,450 --> 00:50:19,910 +بالسلوك اللي جوا الحيطان بتسيحو هيت عاد تطلعها + +674 +00:50:19,910 --> 00:50:23,710 +ممكن بيبقى تهيت كل وقتها عشان تعمل مشكلة تمام او + +675 +00:50:23,710 --> 00:50:26,190 +ممكن تصيب طبعا حريقة او حاجة زي ذلك فلأ اما لا + +676 +00:50:26,190 --> 00:50:29,490 +تجهت لهذه القضية طبعا تتعرفوا برضه ان احيان + +677 +00:50:29,490 --> 00:50:32,690 +الابريز اللي محمل عليه شغلات بيها بسيح صح ولا لأ + +678 +00:50:32,690 --> 00:50:36,530 +فهذه السيحة اللي ممكن تكون في السلك لجوهتمام؟ + +679 +00:50:36,530 --> 00:50:39,470 +وعادى والله بسيح يعنى في النهاية ده اذا انت محمل + +680 +00:50:39,470 --> 00:50:43,650 +عليه شغلات كتيرة بسيح خصوصا امور التفخيل ال .. ال + +681 +00:50:43,650 --> 00:50:47,150 +atmos و ال .. و ال boilers و .. و فرن الكعبة و + +682 +00:50:47,150 --> 00:50:51,590 +السخان حد شغلات كتيرة طبعا ممكن واحد بيستخدم ممكن + +683 +00:50:51,590 --> 00:50:57,020 +المكيف بفكره بصحى بكتير لكن هو الف مش اكتريعني زي + +684 +00:50:57,020 --> 00:51:00,680 +.. زي أقل من مكوية بس مش شغاليش كتير مرات .. يعني + +685 +00:51:00,680 --> 00:51:04,120 +احنا في بلادنا مش شغاليش كتير في الصعودية و في + +686 +00:51:04,120 --> 00:51:07,660 +بلاد الخليج ب .. بتفيش هي هذه النقطة بس احنا في + +687 +00:51:07,660 --> 00:51:12,300 +النهاية مهما اتشوج تشغله شهر ولا شهرين و بس هناك + +688 +00:51:12,300 --> 00:51:15,980 +انا مرة روحت شهر واحد في جدا كانوا مش شغالين + +689 +00:51:15,980 --> 00:51:19,080 +المكاير شهر واحد الحين انا انا اربعانية كنا مش + +690 +00:51:19,080 --> 00:51:23,880 +شغالين المكاير فالجو مختلف من منطقة لمنطقة تمام + +691 +00:51:26,250 --> 00:51:29,330 +إذا احنا الفاتورة تبعتنا طبعا تحصد بناء على ذلك + +692 +00:51:29,330 --> 00:51:34,230 +طبعا برضه عشان نيجي نتصور احنا كيف نسحب و هم + +693 +00:51:34,230 --> 00:51:38,190 +بيقولوا كام جيجا بيزا من غزة و جديش احنا بنسحب و + +694 +00:51:38,190 --> 00:51:41,690 +عشان كده مش يمكفينا و روحنا أركاننا على حالنا و + +695 +00:51:41,690 --> 00:51:45,250 +طلعنا مش نافعين في الأخر مكاننا بدون محطة كنا + +696 +00:51:45,250 --> 00:51:49,170 +عايشين زمانلما عملنا محطة طولها مش عارفين نجيب لها + +697 +00:51:49,170 --> 00:51:55,130 +صلاة عشان نشغلها و نفصل الأمور على كل حوال بتصير + +698 +00:51:55,130 --> 00:51:59,790 +عملية السحب بناء على الأجهزة اللي مش شغلة مره كان + +699 +00:51:59,790 --> 00:52:03,050 +عندي واحد في .. من محطة الكهربا بيقول من بعض + +700 +00:52:03,050 --> 00:52:06,330 +الأفكار اللي قاعدين يفكر فيها انه نصير نعطي بدل ما + +701 +00:52:06,330 --> 00:52:11,610 +نطفي completely على منطقة نعطيهم أنبير بسيط يشغل + +702 +00:52:11,610 --> 00:52:14,750 +بس إنارة ممكن هو العادى فكرة جيدة اذا كانوا يعرفوا + +703 +00:52:14,750 --> 00:52:19,300 +يطبقوهايعني بمعنى اخر انه يخلوا مثلا ست ساعات فقط + +704 +00:52:19,300 --> 00:52:24,580 +في النهار يعطوا كهربا كاملة تشغل بدكية و باقى + +705 +00:52:24,580 --> 00:52:27,160 +النهار بعد ما تكون طافة يدك انهارة تشغل انهارة و + +706 +00:52:27,160 --> 00:52:31,480 +تشغل تلفزيون تدرس و تعمل quiz و كل حاجة + +707 +00:52:33,870 --> 00:52:39,470 +فهذه من أفكار جديدة لأنه كل ما زودت أنت السحب + +708 +00:52:39,470 --> 00:52:46,170 +بزيدي الحمل على المحطة بيبطل اتكفي الشجرة ومشكلتنا + +709 +00:52:46,170 --> 00:52:49,330 +أننا فينا نسبة كبيرة بتتفعش + +710 +00:52:51,710 --> 00:52:56,190 +وهذه مشكلة ومشكلة كبيرة وانا بعتبرها مسئولية لأ + +711 +00:52:56,190 --> 00:52:59,130 +المفروض ان حل يعنى في النهاية بدنا نفرخ ما بين ان + +712 +00:52:59,130 --> 00:53:04,370 +واحد بقدرش يدفع وواحد يدفع اللي بقدرش يدفع المفروض + +713 +00:53:04,370 --> 00:53:08,430 +كله حل يعنى في النهاية بس برضه اللي بقدرش يدفع أنا + +714 +00:53:08,430 --> 00:53:13,370 +اللي بقدر أدفع أصحب 200 هو عشان مش بقدرش يصحب ألف + +715 +00:53:13,370 --> 00:53:17,330 +والخمسمية ليش لأنه مبدأ اللي بلاش كتر منه بالنهاية + +716 +00:53:17,330 --> 00:53:22,590 +بصير يطبخ على الكعبةوبيشغّل الدفايات في كل دار + +717 +00:53:22,590 --> 00:53:26,030 +طالع منها نازل منها و بيدفعش بتفرد جسمهم غير لو + +718 +00:53:26,030 --> 00:53:30,630 +واحد لما يكون بدفع فتدفع الغربية لإن الكهربا كيف + +719 +00:53:30,630 --> 00:53:35,050 +هي معمولة كروت كروت زي كارت جوال فتحطها الكهربا + +720 +00:53:35,050 --> 00:53:38,310 +خلصتها فتحط عليك الكهربا و بالتالي .. اه .. + +721 +00:53:38,310 --> 00:53:43,150 +بالتالي ..أو يعني بتخلصي زي جوال مابديك مرات رصيد + +722 +00:53:43,150 --> 00:53:47,030 +لو بتخلص كرتك، يحط الكارت يقولك بالسالم بديك كام + +723 +00:53:47,030 --> 00:53:51,770 +شكل و بياخدها بعدين، فبيصير زي .. فهذه .. هذه + +724 +00:53:51,770 --> 00:53:56,850 +جيدة، هذه فكرة طبقات تلفها معناها غزة، تعرفوا ان + +725 +00:53:56,850 --> 00:54:01,750 +لو انه احنا بس كل الناس بتدفع وبالتالي بتقلل في + +726 +00:54:01,750 --> 00:54:05,380 +استخدام القهر وبعد كده مافيش احنا مشكلة؟كان + +727 +00:54:05,380 --> 00:54:08,400 +المشكلة .. مش في حقيقة تجينا ست ساعات، بيكون كتير، + +728 +00:54:08,400 --> 00:54:11,680 +لأن لو في عنا مشكلة يعني في عاملة مقارنة ما بين + +729 +00:54:11,680 --> 00:54:15,300 +واحد واتنين نفس المستوى، واحد بيدفع واحد بيدفعش، + +730 +00:54:15,300 --> 00:54:19,140 +لقوا اللي بيدفعش بيصحب أضعاف اللي بيدفع، و هو نفس + +731 +00:54:19,140 --> 00:54:23,700 +المستوى، مجرد مبدأ اللي بيبقى أكتر منه، بس + +732 +00:54:26,510 --> 00:54:30,550 +تمام طبعا زي ما حكينا القانونين التانيين بهذا + +733 +00:54:30,550 --> 00:54:34,290 +الشكل خليني أشوف مثال عنها الخضية بيقول you are + +734 +00:54:34,290 --> 00:54:37,470 +given an electric heater electric heater اللي هو + +735 +00:54:37,470 --> 00:54:41,510 +تبع الشال made of mecaum weight of resistance 8 + +736 +00:54:41,510 --> 00:54:45,700 +ohmFind the current carried by the wire and the + +737 +00:54:45,700 --> 00:54:50,120 +wire of the heater if it is connected to a 120 + +738 +00:54:50,120 --> 00:54:54,440 +volt source شباب 120 volt هدف الأمريكا كل الكعبة + +739 +00:54:54,440 --> 00:54:58,720 +عندهم 120 volt و أعتقد في أستراليا كمان و في كندا + +740 +00:54:58,720 --> 00:55:03,280 +.. لأ أوروبا كلهم زينا أوروبا كلها زينا احنا + +741 +00:55:03,280 --> 00:55:06,780 +مرتبطين بأوروبا في أكتر من شغل يعني فالولتية تبعت + +742 +00:55:06,780 --> 00:55:12,680 +أوروبا 220 بسالنوعية اللى وقت أوروبا ما هو الأبريز + +743 +00:55:12,680 --> 00:55:15,820 +انتها قبل عشرين سنة اختلفت عنها كل فرح بظهروا بس + +744 +00:55:15,820 --> 00:55:18,400 +التكنولوجيا عندهم كانت تتصرف قبل ومكانت تصيب زيهم + +745 +00:55:18,400 --> 00:55:21,520 +فاختلفت يعني ماعرفت فاج الأبريز تحت ماعرفت أعلى + +746 +00:55:21,520 --> 00:55:25,540 +حسب الموبايل مرة نفس القضية فالأبريز هذه مجرد مضلة + +747 +00:55:25,540 --> 00:55:29,340 +يعني مش أكتر زمان ماكنتش هيك كانت أبسط من هيك + +748 +00:55:29,340 --> 00:55:35,010 +بكتير انتوا مالاحقتيوه زمانسيليشن طبعا هذه أسئلة + +749 +00:55:35,010 --> 00:55:38,890 +بسيطة جدا ان هو قوانين انبير عندك ال volt ثابت 120 + +750 +00:55:38,890 --> 00:55:41,610 +volt عشان كده الأجهزة اللي جاي من أمريكا لازم + +751 +00:55:41,610 --> 00:55:45,730 +يصيحها adaptation تتغير لان انا عندي 220 volt على + +752 +00:55:45,730 --> 00:55:49,130 +ارماطين مياه بتساوي خمس سنوات طبعا 15 انبير معناته + +753 +00:55:49,130 --> 00:55:54,690 +أماني ب10 انبير بفسي مظبوط ولا لأ زي هاي تقريبا هم + +754 +00:55:54,690 --> 00:55:57,770 +الصيابين عندهم لازم الامان يكون اكتر من 15 انبير + +755 +00:55:57,770 --> 00:56:03,790 +عشان يشتغل هذا ال heaterده هو بقى في الجيبة 1.8 + +756 +00:56:03,790 --> 00:56:07,470 +كيلو واط يعني + +757 +00:56:07,470 --> 00:56:11,330 +زي الثخان بالظبط اللي حكى عنه زميركم انه 1800 او + +758 +00:56:11,330 --> 00:56:18,670 +2000 بهذه الحدود بحسب كل أنواع معينة تماماخر هذا + +759 +00:56:18,670 --> 00:56:21,630 +ال section جابه من الشطر اللي وراها بس عساس انه + +760 +00:56:21,630 --> 00:56:25,450 +يعمل شطر محلز يكون فيه quiz محلز في هذا الموضوع + +761 +00:56:25,450 --> 00:56:28,530 +فهذه electromagnetic force ده من الشطر اللي وراها + +762 +00:56:28,530 --> 00:56:32,950 +شطر 28 electromagnetic force يا باب قوة دافعة + +763 +00:56:32,950 --> 00:56:39,160 +كهربية طبعا المفهوم في البداية قوة وقالتها نيوتنهي + +764 +00:56:39,160 --> 00:56:42,840 +هنا بتناقض المفهوم العلمى ل Electromotive force + +765 +00:56:42,840 --> 00:56:47,060 +هذه شباب محددها ال word نفس العملية فكلمة + +766 +00:56:47,060 --> 00:56:50,480 +Electromotive force اجت عشان عملية دفع الشحنات من + +767 +00:56:50,480 --> 00:56:53,500 +واطر اعلى فهي كلمة Electromotive force + +768 +00:56:57,300 --> 00:57:02,360 +Consider a circuit shown where a battery of + +769 +00:57:02,360 --> 00:57:05,420 +internal resistance R is connected to a load + +770 +00:57:05,420 --> 00:57:06,660 +resistant capital R + +771 +00:57:14,730 --> 00:57:18,150 +خلّيني أقول هي بطارية مسكّرة، هي الصندوق، عندي هي + +772 +00:57:18,150 --> 00:57:22,270 +قطب وهي قطب، هذا قطب محصمه موجد، وهذا قطب سالق، + +773 +00:57:22,270 --> 00:57:28,130 +جوا غالبا في مقاومة داخلية، احنا قالنا رمزيا، + +774 +00:57:28,130 --> 00:57:32,000 +ننظرها ب Small R، عشانها صغيرة بتكونوهي عطلها بقول + +775 +00:57:32,000 --> 00:57:38,080 +هذه بطاريتك تمام بدي أوصلها الجهاز الجهاز عبارة عن + +776 +00:57:38,080 --> 00:57:43,360 +مقارنة بيسموه load الحمل اي جهاز اذا كان كمبيوتر + +777 +00:57:43,360 --> 00:57:47,920 +ولا دفاية ولا ميكوايا ولا اي حاجة load resistance + +778 +00:57:47,920 --> 00:57:55,300 +هاي ال load resistance وصلتها تمام بقول الآن a + +779 +00:57:55,300 --> 00:57:57,900 +current will be set in the resistors in the + +780 +00:57:57,900 --> 00:58:01,570 +direction shown هاي الطيارةطبعا من الجهد الأعلى + +781 +00:58:01,570 --> 00:58:04,790 +إلى جهد الأوطة احنا عارفين هاي الجهد الأعلى لأن + +782 +00:58:04,790 --> 00:58:08,010 +هذا موجب هنا جهد الأعلى وهذا جهد الأقل بدي يمشي + +783 +00:58:08,010 --> 00:58:12,470 +الطيار هيك بهذا الشكل عشان كده بيقول من قطب الموجب + +784 +00:58:12,470 --> 00:58:15,690 +للبطارية لقطب السالب من الجهد الأعلى إلى جهد + +785 +00:58:15,690 --> 00:58:20,520 +الأوطةبُلّت بيتشاريز موفي through the resistor + +786 +00:58:20,520 --> 00:58:25,160 +from B to A due to the higher potential at B + +787 +00:58:25,160 --> 00:58:28,480 +relative to A هذه شغلة طبيعية بقول هذه حركة عادية + +788 +00:58:28,480 --> 00:58:32,820 +حركة زي أنزل الميه من فوق لتحت تنزل الميه قاعدة + +789 +00:58:32,820 --> 00:58:38,040 +عادي من العالي للواطي ماعندي أي مشكلة تمام طيب + +790 +00:58:38,040 --> 00:58:41,520 +المشكلة زي ما حكينا مين اللي بده يرفع الشحنات من A + +791 +00:58:41,520 --> 00:58:48,250 +لB جوا البطارية بده دافع بده قوة دافعةبيقول لي for + +792 +00:58:48,250 --> 00:58:51,850 +the current to circulate عشان يكمل to circulate + +793 +00:58:51,850 --> 00:58:56,870 +around a closed circuit the charge must jump from + +794 +00:58:56,870 --> 00:59:00,590 +point A to point B بديو نط بديو اطلع من واطي لعالي + +795 +00:59:00,590 --> 00:59:04,670 +must jump from A to B through the battery اذا انا + +796 +00:59:04,670 --> 00:59:09,390 +ازاي برضه حكينا عن البطارية عن النفورة انا المادة + +797 +00:59:09,390 --> 00:59:13,230 +تنزل لكن ايش بيطلع حفوج بيطنط بدي حد ينطط اه من + +798 +00:59:13,230 --> 00:59:19,370 +واطي لعالي must jumpهذه الحركة بدي حد يعملها + +799 +00:59:19,370 --> 00:59:27,030 +تنعملش صورة طبيعية تمام بيقول لي this means that + +800 +00:59:27,030 --> 00:59:33,150 +we need a device that capable of pumping يعني الضخ + +801 +00:59:33,150 --> 00:59:37,630 +اتشارج from lower potential to higher potential هي + +802 +00:59:37,630 --> 00:59:44,790 +عملية الضخ تكون هذا الاتجاههذه القوة رمزة capital + +803 +00:59:44,790 --> 00:59:51,490 +Epsilon عملية ضخ قوة دافعة كحربية بالرغم إنها قوة + +804 +00:59:51,490 --> 00:59:55,730 +لكن هي وحدتها جهود عندنا سوء لكن المفهوم تبعها قوة + +805 +00:59:55,730 --> 00:59:59,850 +دافع إن أنا بدي أدفع الشحنات من الواطن للعالي من + +806 +00:59:59,850 --> 01:00:04,310 +الأقل جهود للأعلى جهود عشان كده بيقول قوة دافعة + +807 +01:00:04,310 --> 01:00:07,570 +كحربية دايما من القوة من خط السائق إلى خط الموجد + +808 +01:00:07,570 --> 01:00:10,990 +بالواطن للعالي لإني أدفع من الواطن للعاليهذه شمال + +809 +01:00:10,990 --> 01:00:15,570 +البطارية وهذه الخاصية بيسموها القنوة الدافعة + +810 +01:00:15,570 --> 01:00:21,710 +الكهربية للبطارية هنا عشوائية الـ function of such + +811 +01:00:21,710 --> 01:00:28,610 +a device is called electromotive force هو دافعة + +812 +01:00:28,610 --> 01:00:35,170 +كهربية تمام؟ دفعة كهرباية abbreviated E MFH تختصر + +813 +01:00:35,170 --> 01:00:42,080 +electromotive forceEMF تمام and denoted by the + +814 +01:00:42,080 --> 01:00:46,040 +symbol capital Y ورمزة capital Y ايش واحدتها vote + +815 +01:00:46,040 --> 01:00:49,480 +the battery and the generator are common in + +816 +01:00:49,480 --> 01:00:52,520 +devices طبعا البطاريات و المطور خلنا نقول ال + +817 +01:00:52,520 --> 01:00:56,540 +generator اللي في دوركم لما تقطع الكعبةهذا بيعمل + +818 +01:00:56,540 --> 01:01:00,520 +فرق جهود و بيصير فيه عندك طيارة و بيه كل الضعف + +819 +01:01:00,520 --> 01:01:04,300 +تمام؟ اذا ال generator ويه؟ طبعا ال generator ما + +820 +01:01:04,300 --> 01:01:08,620 +هو .. هو خلينا نقول symbol بسيط من محطة الكهربا + +821 +01:01:08,620 --> 01:01:13,450 +نفسه فده ال generator بس كبير جداالمشكلة في لبنان + +822 +01:01:13,450 --> 01:01:16,130 +في عندنا نفس المشكلة يمكن تسمعوا انتوا شباب بس + +823 +01:01:16,130 --> 01:01:20,450 +يمكن في لبنان حلينها شوية انه عاملين مطارات مركزية + +824 +01:01:20,450 --> 01:01:24,610 +لكل حارة وبالتالي بيصير صاحب الدار مرات ييجي ويبعت + +825 +01:01:24,610 --> 01:01:27,390 +في زون بيشكو في مطارة بيوديها ل .. ل .. ل .. ل + +826 +01:01:27,390 --> 01:01:30,450 +الكهربا وفي مطارة .. فاتورة بيوديها لمين صاحب + +827 +01:01:30,450 --> 01:01:32,970 +المطار اللي في الحارة ففي عنده فاتورتين بيدفعهم + +828 +01:01:32,970 --> 01:01:37,490 +أخر شهر لإنه بيدفع هنا وبيدفع هنا في مشكلة يعني + +829 +01:01:37,490 --> 01:01:42,830 +طبعا اه دي مشاكلمشاكل الدول العربية الدول اللي + +830 +01:01:42,830 --> 01:01:48,350 +نكساميها نابيها لإن احنا في الأمور الأساسية لحد + +831 +01:01:48,350 --> 01:01:51,470 +الآن مش ملبين جادرين نلبّي الحاجات الأساسية + +832 +01:01:51,470 --> 01:01:57,250 +للمواطن يعني هذه من الشغلات الضرورية لإنك تتأمن + +833 +01:01:57,250 --> 01:02:02,990 +يمكن تعرفوا لو روحتوا على أوروبافي بعض الدول خليني + +834 +01:02:02,990 --> 01:02:07,850 +اقول بامنوا مية سخنة تاجي 24 ساعة من البلدية مية + +835 +01:02:07,850 --> 01:02:10,290 +سخنة بتكشف .. بتفتح المصورة بتلاقي مية سخنة على + +836 +01:02:10,290 --> 01:02:14,710 +طول بقول كده طب هو أصعب انه يامنوها لإن كده بتمشي + +837 +01:02:14,710 --> 01:02:18,310 +في المواسير جوا وفيه مية سخنة موجودة طبعا فيه أمور + +838 +01:02:18,310 --> 01:02:21,990 +كتيرة طبعا الغاز برضه مأمن من دون لجربة ولا حاجة + +839 +01:02:21,990 --> 01:02:28,280 +على طول زي الكهربا بالظبط فيه لعفاتورةفي الدول كنا + +840 +01:02:28,280 --> 01:02:31,140 +احنا طلاب ندفع فطور الغاز وفطور الميه وفطور الكعبة + +841 +01:02:31,140 --> 01:02:36,340 +فهو كتير كتير في طبعا في مصر في بعض المناطق عاملين + +842 +01:02:36,340 --> 01:02:42,040 +هدش الغازات موجودة لكن في جزء بسيط من القاهرة لكن + +843 +01:02:42,040 --> 01:02:48,330 +بقى المدن المنسية نفس القضية تماممصادر الإنف يمكن + +844 +01:02:48,330 --> 01:02:54,350 +أن يكون مجرد مصادر مصادر مصادر مصادر مصادر مصادر + +845 +01:02:54,350 --> 01:02:57,090 +مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر + +846 +01:02:57,090 --> 01:02:58,090 +مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر + +847 +01:02:58,090 --> 01:02:58,090 +مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر + +848 +01:02:58,090 --> 01:02:58,350 +مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر + +849 +01:02:58,350 --> 01:03:02,130 +مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر + +850 +01:03:02,130 --> 01:03:10,650 +مصادر مصادر مصادر مصادر مصادر مصادر + +851 +01:03:13,260 --> 01:03:19,300 +It is exactly like a water pump زي مضخة الميه that + +852 +01:03:19,300 --> 01:03:22,580 +pushes water from lower to a higher level opposite + +853 +01:03:22,580 --> 01:03:24,700 +to the gravitational force. + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y.srt new file mode 100644 index 0000000000000000000000000000000000000000..de2ba1c14fce8ddf1a0ed6c83acfc06624b0f5b4 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y.srt @@ -0,0 +1,1579 @@ +1 +00:00:10,120 --> 00:00:15,880 +بعد بسم الله الرحمن الرحيم نبدأ آخر محاضرة التيار + +2 +00:00:15,880 --> 00:00:19,820 +المتردد اتفقنا أنه بيجي من الـ Source اللي هو ال + +3 +00:00:19,820 --> 00:00:23,840 +Generator أو الـ Dynamo، الـ Voltage يُعطى بهذه + +4 +00:00:23,840 --> 00:00:28,000 +الصيغة V ماكسيموم ساين أوميجا تي، هجيت التيار، + +5 +00:00:28,000 --> 00:00:33,820 +مشكلته إنه صيغة إما بكون in phase أو out of phase + +6 +00:00:33,820 --> 00:00:38,780 +أو 90 درجة أو بزاوية ما با، in general إحنا بنقول I + +7 +00:00:38,780 --> 00:00:44,880 +ماكسيموم، اتفقنا، ساين أوميجا تي ناقص فاي هيتهدف فاي + +8 +00:00:44,880 --> 00:00:50,100 +إذا الدائرة فيها فقط R بتكون صفر، إذا فقط فيها L + +9 +00:00:50,100 --> 00:00:53,840 +بتكون تسعين درجة، إذا فقط فيها C بتكون سالب تسعين + +10 +00:00:53,840 --> 00:00:57,700 +درجة، إذا فيها التلاتة مع بعض بتكون فاي قيمة + +11 +00:00:57,700 --> 00:01:02,000 +لها، ثلاثين، ستين، ناقص ستين، ما نقعش فيها تمام؟ لكن + +12 +00:01:02,000 --> 00:01:06,560 +في النهاية هدول التنتين in general الآن بدنا نشوف + +13 +00:01:06,560 --> 00:01:11,780 +الـ Power زي ما اتفقنا إن التيار والجهود له قيم + +14 +00:01:11,780 --> 00:01:15,840 +مختلفة، وبما إن الـ Power بالسوء التيار في الجهود + +15 +00:01:15,840 --> 00:01:19,560 +إذا أنا بتوقع برضه الـ Power تتغير مع تغير الزمان، كيف + +16 +00:01:19,560 --> 00:01:24,540 +نتعامل معاها، بجهة التيار والجهود يفهمنا إن I am a + +17 +00:01:24,540 --> 00:01:28,600 +RMS، وهي القيمة الفعالة، وهي الـ Average Value بنفسي + +18 +00:01:28,600 --> 00:01:31,350 +عمري أجيب الـ Average Value تبعت الـ Power إذا + +19 +00:01:31,350 --> 00:01:35,090 +الموضوع الآن Power in AC circuits، كيف الـ Power و + +20 +00:01:35,090 --> 00:01:38,590 +احنا في الآخر الفائدة من الـ Generator أو من التيار + +21 +00:01:38,590 --> 00:01:40,970 +الـ Generator هو الـ Power اللي بتطلع أو هي الطاقة اللي + +22 +00:01:40,970 --> 00:01:44,210 +بتطلع، إذا كانت الطاقة ضوئية، طاقة حرارية، طاقة ميكانيكية + +23 +00:01:44,210 --> 00:01:49,470 +أيًّا كان نوع الطاقة، أو الطاقة معناته Power، بيقول The + +24 +00:01:49,470 --> 00:01:54,110 +Instantaneous Power Delivered by AC Source is + +25 +00:01:54,110 --> 00:01:56,750 +بتعرف بقى إن الـ Power بتبقى أي Source، احنا كنا لما + +26 +00:01:56,750 --> 00:02:02,230 +زمان لما نقول هيك، هاي المقاومة، وهذه إبسلون، بقول + +27 +00:02:02,230 --> 00:02:05,510 +والله هنا في Power بالثانية I في إبسلون، مظبوط ولا + +28 +00:02:05,510 --> 00:02:09,790 +لأ؟ هذه فاية طبعة الـ Source، بقول هي حسبها هنا + +29 +00:02:09,790 --> 00:02:12,890 +Power بالثانية I تربيع في الـ R، هذه بالثانية هذه + +30 +00:02:13,700 --> 00:02:16,660 +وانتهت، يعني أنا باخد من هنا طاقة بفقدها هنا، كيف + +31 +00:02:16,660 --> 00:02:21,300 +فقدت هنا، أنا لاقيت طاقة حرارة بسرعة عامة تمام، إذا + +32 +00:02:21,300 --> 00:02:24,820 +أنا في عندي أول كنت أجيب الـ I في V، بدي احسب نفس + +33 +00:02:24,820 --> 00:02:29,900 +القضية أنا عندي Source الآن، في عندي خليني أقول هاي + +34 +00:02:29,900 --> 00:02:33,580 +Source، وفي عندي أنا ممكن اكتبت حالات اللي عندي هدا + +35 +00:02:33,580 --> 00:02:37,840 +هي، هاي عندي الحالات هدي، في عندي Source هنا اللي هو + +36 +00:02:37,840 --> 00:02:43,370 +V بيسموه V ماكسيموم ساين أوميجا تي، هنا في تياروالتيار + +37 +00:02:43,370 --> 00:02:46,930 +هذي بيساوي I ماكسيموم في ساين أوميجا تي ناقص فاي بيقولي + +38 +00:02:46,930 --> 00:02:50,850 +جبلي الطاقة تبعت الـ Source خليني نقوله عشان ده + +39 +00:02:50,850 --> 00:02:54,230 +مزكين الـ Source هو الـ Generator اللي في بيوتكم هذا + +40 +00:02:54,230 --> 00:02:59,330 +في إله قدرة بيكون مكتوبة في كل Generator عندكم لو + +41 +00:02:59,330 --> 00:03:02,490 +Generator صغير في الدار عندكم هتلاقوا مكتوب عليه + +42 +00:03:02,490 --> 00:03:08,590 +الـ Volt Ampere أو واحد كيلو Volt Ampere هيك بيكون + +43 +00:03:08,590 --> 00:03:12,690 +مكتوب عليه تمام اللي بنقول عنه تلاتة احنا بنقول + +44 +00:03:12,690 --> 00:03:15,890 +عنه تلاتة بيكون مكتوب عليه تلاتة كيلو Volt Ampere + +45 +00:03:15,890 --> 00:03:18,850 +بيكون مكتوب على الـ Generator تمام طبعًا زي ما أنتم + +46 +00:03:18,850 --> 00:03:22,770 +عارفين برضه الشغل العام اللي وصلتنا للكل لحد + +47 +00:03:22,770 --> 00:03:26,450 +العامين إن التلاتة بتديك تلاتة بديك أقل من تلاتة + +48 +00:03:26,450 --> 00:03:29,990 +ونشوف الآن من وين تيجي هذه الأمور، بيقول أنت كدا + +49 +00:03:29,990 --> 00:03:35,330 +بتحسب الـ Power، الاصل الـ Power هتكون بتساوي I في V هي + +50 +00:03:35,330 --> 00:03:39,850 +الاصل أنا عندي قال لي I ما هيش قيمة واحدة، بتساوي I + +51 +00:03:39,850 --> 00:03:43,790 +ماكسيموم ساين أوميجا تي ناقص فاي، و V بتساوي V ماكسيموم + +52 +00:03:43,790 --> 00:03:49,500 +ساين أوميجا تي، دربتهم وضعتها بس قبل ما آخد ال + +53 +00:03:49,500 --> 00:03:52,800 +Average هذه بدي أفكها يا شباب، في أولها في حساب + +54 +00:03:52,800 --> 00:03:57,220 +المثلثات بتقول ساين أوميجا تي ناقص فاي بيساوي ساين أوميجا + +55 +00:03:57,220 --> 00:04:04,280 +تي كوساين فاي ناقص ساين فاي كوساين أوميجا تي تمام؟ فدي + +56 +00:04:04,280 --> 00:04:10,000 +حطها هنا بس اضبطها وده هي، إذا هذه مجرد بعد ما + +57 +00:04:10,000 --> 00:04:13,220 +ضربتهم، بعد ضرب عادي بيتعلقوا بالزمن، بيتعلقوا + +58 +00:04:13,220 --> 00:04:18,160 +بالزمن بس فكتها طبعًا الـ I ماكسيموم و V ماكسيموم عامل + +59 +00:04:18,160 --> 00:04:21,100 +مشترك واشتغلنا على هذا الأساس، جاي دلوقتي نجيب ال + +60 +00:04:21,100 --> 00:04:25,140 +Average Value لهذه القيمة، الـ Average Value لهذه + +61 +00:04:25,140 --> 00:04:28,380 +القيمة، كيف بدي أجيبها؟ بدي أجيبها بهذه الصيغة بيقول + +62 +00:04:28,380 --> 00:04:33,560 +بيـ Average بتساوي I ماكسيموم V ماكسيموم عامل مشترك + +63 +00:04:33,560 --> 00:04:39,400 +طب على الثابت الـ Average تبعه مبيأثرش بيطلع نفسه، إيش ال + +64 +00:04:39,400 --> 00:04:43,720 +Average لو القيم خمسة وخمسة وخمسة وخمسة؟ خمسة، فال + +65 +00:04:43,720 --> 00:04:47,780 +Average ما هو الـ Average بشبه يا شباب الاشتقاق الحديث + +66 +00:04:49,170 --> 00:04:53,170 +تجيبها تمام I ماكسيموم V ماكسيموم ساين أوميجا تي + +67 +00:04:53,170 --> 00:04:56,910 +Average كوساين فاي، هذا ثابت وهذا ثابت ضبط، ما هو ساين + +68 +00:04:56,910 --> 00:05:00,790 +أوميجا تي ناقص ساين أوميجا تي كوساين أوميجا تي Average ساين + +69 +00:05:00,790 --> 00:05:05,090 +فاي، الآن احنا سابقًا لما جبنا الـ RMS والـ V RMS + +70 +00:05:05,090 --> 00:05:09,510 +قلنا ساين تربيع الـ Average بحنص ولا لأ لما + +71 +00:05:09,510 --> 00:05:11,570 +يقولون إن كوساين تربيع زي ساين تربيع بتساوي + +72 +00:05:11,570 --> 00:05:13,690 +واحد، وبالتالي يقولون إن ساين تربيع الـ Every + +73 +00:05:13,690 --> 00:05:19,130 +بتبقى نص، طيب هذه بده أحط محل نص، طب هذه جالي هذه + +74 +00:05:19,130 --> 00:05:24,900 +ساين في كوساين، و ساين في كوساين ساين صح مش ساين + +75 +00:05:24,900 --> 00:05:28,640 +تربيع يعني ساين 2 ثيتا بالنهاية مش ساين 2 ثيتا + +76 +00:05:28,640 --> 00:05:32,920 +بتساوي 2 ساين ثيتا كوساين ثيتا، يعني أنا لما أقول هذه + +77 +00:05:32,920 --> 00:05:42,680 +عبارة عن ساين أوميجا تي كوساين أوميجا تي بتساوي ساين أوميجا تي عتني مظبوط + +78 +00:05:42,680 --> 00:05:46,080 +ولا لأ؟ في النهاية ساين واحنا متفقين من أول الـ ساين + +79 +00:05:46,080 --> 00:05:49,460 +لحالها أو الـ كوساين لحالها قديش الـ Average بتاعتها؟ الـ ساين + +80 +00:05:49,460 --> 00:05:57,600 +لحالها ماذا يعني عدد عددها؟ عدد عددها نص، وعدد عدد + +81 +00:05:57,600 --> 00:06:04,060 +عددها نص، تمام يعني يعني يعني يعني يعني يعني يعني + +82 +00:06:04,060 --> 00:06:08,060 +يعني يعني يعني يعني يعني يعني يعني يعني يعني + +83 +00:06:08,060 --> 00:06:08,640 +يعني يعني يعني يعني يعني يعني يعني يعني يعني + +84 +00:06:08,640 --> 00:06:08,740 +يعني يعني يعني يعني يعني يعني يعني يعني يعني + +85 +00:06:08,740 --> 00:06:09,080 +يعني يعني يعني يعني يعني يعني يعني يعني يعني + +86 +00:06:09,080 --> 00:06:09,140 +يعني يعني يعني يعني يعني يعني يعني يعني يعني + +87 +00:06:09,140 --> 00:06:09,460 +يعني يعني يعني يعني يعني يعني يعني يعني يعني + +88 +00:06:09,460 --> 00:06:14,580 +يعني يعني يعني يعني يعني يعني هذه بدي أحط محلها نص + +89 +00:06:14,580 --> 00:06:19,220 +صار نص I ماكسيموم V ماكسيموم والباقي Zero، وبدي أحط + +90 +00:06:19,220 --> 00:06:24,060 +كوساين فاي، هذه بدي أحط كوساين فاي، فطلعت بهذه الصيغة + +91 +00:06:28,110 --> 00:06:31,570 +هذه القيمة تخليني أشيلها ماكسيموم وما يبقى ماكسيموم + +92 +00:06:31,570 --> 00:06:35,090 +وأنتم متفقين الآن من يوم ما طلعتوا في الـ AC circuits إن + +93 +00:06:35,090 --> 00:06:38,230 +الأجهزة بتقيس الـ ماكسيموم ولا الـ RMS Value؟ الـ RMS + +94 +00:06:38,230 --> 00:06:41,030 +Value وبالتالي لما أقول إن أنا 220 Volt، هذي 220 + +95 +00:06:41,030 --> 00:06:45,250 +Volt ماكسيموم ولا الـ RMS؟ الـ RMS وكل القوانين تبعتي + +96 +00:06:45,250 --> 00:06:49,430 +بشتغل عليها على الـ RMS أنا وبالتالي قال لي هذي حولها I + +97 +00:06:49,430 --> 00:06:54,710 +RMS، بقول هذول الاتنين بيعملوا هيك وبيعملوا هيك بصح + +98 +00:06:54,710 --> 00:07:00,410 +ليه؟ مش جذر اتنين في جذر اتنين؟ طيب هذه I ماكسيموم I + +99 +00:07:00,410 --> 00:07:08,270 +جذر اتنين مش هي RMS، وهذه هي V RMS، إذا الصيغة الـ P + +100 +00:07:08,270 --> 00:07:15,070 +Average بتساوي I RMS في V RMS في كوساين فاي، في كوساين فاي طلعت + +101 +00:07:15,070 --> 00:07:20,710 +بهذه الصيغة أنا المفروض القانون في الـ DC Circuit I + +102 +00:07:20,710 --> 00:07:27,670 +في V، هنا طلعت I في V بصناعة كوساين فاي، نقطة كوساين فاي ليه؟ + +103 +00:07:27,670 --> 00:07:32,750 +من وين اجت؟ كوساين فاي اجت لإن أنت لما تيجي تضرب مشكلتك + +104 +00:07:32,750 --> 00:07:36,250 +إن أنت عارف تضرب حد، يعني خمسة في تلاتة مش جاي ما + +105 +00:07:36,250 --> 00:07:39,310 +بتساوي خمستعشَر عندهم لإن لما تكون أنت خمسة ليك مش + +106 +00:07:39,310 --> 00:07:42,830 +مبروه تكون تلاتة في اللحظات، هي هي قعدنا نشوف كيف + +107 +00:07:42,830 --> 00:07:47,530 +بعض الرسمات، بالتالي اجت كوساين فاي تطلعوا أنتم واكتشف + +108 +00:07:47,530 --> 00:07:50,570 +هدي الـ P Average بتساوي هدي في هدي وهدي مالهاش + +109 +00:07:50,570 --> 00:07:55,850 +دعوة لإن هدي تكون اس في صفر، لما تكون صفر معناته ال + +110 +00:07:55,850 --> 00:07:58,850 +Phase بيصلوا مع بعض، لما تكون هذه خمسة هذه تكون + +111 +00:07:58,850 --> 00:08:02,170 +تلاتة، لما تكون هذه اتنين هذه تكون أقل شوية وهكذا + +112 +00:08:02,170 --> 00:08:04,370 +لما تكون واحدة ماكسيموم التانية بالضرورة تكون + +113 +00:08:04,370 --> 00:08:06,790 +ماكسيموم، لما تكون واحدة مينيموم التانية بالضرورة + +114 +00:08:06,790 --> 00:08:10,210 +تكون مينيموم، بالتالي أنت بتضرب ضرب عادي وهذه + +115 +00:08:10,210 --> 00:08:14,450 +الشغلة المنطقية، عشان كده إيش بنقول كوساين فاي إيه + +116 +00:08:14,450 --> 00:08:20,640 +شغلها؟ قيمة لها؟ وأقصى قيمة صفر، هالـ Gate اللي مكتوب + +117 +00:08:20,640 --> 00:08:26,400 +يا شباب اللي مكتوب عندكم على الـ Generator هو هذا في + +118 +00:08:26,400 --> 00:08:31,810 +هذه، هذه بيسموها الـ Real، الـ Apparent Power، ال + +119 +00:08:31,810 --> 00:08:36,490 +Apparent Power، القدرة الظاهرة، هادي في هادي بتطلع + +120 +00:08:36,490 --> 00:08:39,610 +عندي أنا واحد اللي أنا بستخدمه، هادي بتضربها في + +121 +00:08:39,610 --> 00:08:42,530 +كوساين الفاي، كوساين الفاي غالبًا بتكونش بتساوي واحد + +122 +00:08:42,530 --> 00:08:47,590 +بتساوي 0.8 أو 0.7 عشان كده بيقول أنا عندي هادي في + +123 +00:08:47,590 --> 00:08:50,710 +هادي هي اللي بيكون مكتوب على الـ Generator، الـ I RMS + +124 +00:08:50,710 --> 00:08:55,190 +في الـ V RMS بيكون مكتوب عليها تلاتة تلاف كيلو فولت + +125 +00:08:55,190 --> 00:08:57,350 +أمبير، إذا ما أريد استخدام كيلو فولت أمبير إذا ما + +126 +00:08:57,350 --> 00:08:57,370 +أريد استخدام كيلو فولت أمبير إذا ما أريد استخدام + +127 +00:08:57,370 --> 00:08:58,310 +كيلو فولت أمبير إذا ما أريد استخدام كيلو فولت + +128 +00:08:58,310 --> 00:08:58,930 +أريد استخدام كيلو فولت أمبير إذا ما أريد استخدام + +129 +00:08:58,930 --> 00:09:00,090 +كيلو فولت أمبير إذا ما أريد استخدام كيلو فولت + +130 +00:09:00,090 --> 00:09:02,970 +أمبير، إذا ما أريد استخدام كيلو فولت أمبير إذا ما + +131 +00:09:02,970 --> 00:09:05,990 +أريد استخدام كيلو فولت أمبير إذا ما أريد استخدام + +132 +00:09:05,990 --> 00:09:10,810 +كيلو فولت أمبير، إذا ما أريد اللي بيكون مكتوب يا شباب + +133 +00:09:10,810 --> 00:09:14,910 +دايمًا على الـ Generator هي الـ RMS Value في الـ V RMS + +134 +00:09:14,910 --> 00:09:17,470 +Value، إنه أنا عارف إن الـ Power مستوى I في الـ V + +135 +00:09:17,470 --> 00:09:22,690 +كده برضه جاله عشان يميز بديّش أحط Watt، بدي أحط Volt + +136 +00:09:22,690 --> 00:09:25,940 +Ampere هجيت في الفيزياء Volt Ampere مش هي Watt، هي + +137 +00:09:25,940 --> 00:09:29,460 +وقتي في النهاية، لكن برضه عشان التمييز التجاري + +138 +00:09:29,460 --> 00:09:33,560 +قالوا خلي الـ Watt مفهوم، يصيرها مفهوم والـ Watt مفهوم + +139 +00:09:33,560 --> 00:09:36,420 +قالوا خلي الـ Watt هي الشغلة اللي أنت في الحقيقة + +140 +00:09:36,420 --> 00:09:42,140 +بتستغلها في الآخر، أنت بدك تشغل جهاز عبارة عن ألف + +141 +00:09:42,140 --> 00:09:46,030 +Watt، تقدرش تشغله، مقدرش تشغله تمام؟ ليش؟ لأنه أنا ب + +142 +00:09:46,030 --> 00:09:50,510 +... مظبوط هو لكن بديك ألف Watt لكن بيصلحش ألف Watt + +143 +00:09:50,510 --> 00:09:54,530 +في النهاية، عشان كده تمانية تقدر تشغل، فخلوا الـ Watt + +144 +00:09:54,530 --> 00:09:58,690 +للـ ... للـ Real Power، فخلوا الـ Watt للشغل الـ Real أما + +145 +00:09:58,690 --> 00:10:02,050 +الـ Appearance، الشغل الظاهر، إنه مكتوب عليها الجدول + +146 +00:10:02,180 --> 00:10:05,660 +عشان كده بيسموها Apparent Power، هذا الظاهر هذا + +147 +00:10:05,660 --> 00:10:08,640 +المكتوب على الـ Generator، الـ Real اللي أنت بتقدر + +148 +00:10:08,640 --> 00:10:11,840 +تستخدمه بيكتبه من الـ Cosine of فاي، والـ Cosine of فاي + +149 +00:10:11,840 --> 00:10:17,760 +بيعتمد على الدائرة تبعتك حسب إيش فيها طبعًا وكنا + +150 +00:10:17,760 --> 00:10:22,100 +بنعرف لو كانت في الشغل العملية، الآن نحكي عن الشغل + +151 +00:10:22,100 --> 00:10:27,560 +العملية مفيش دائرة ممكن تكون L لحالها، بيور L أو + +152 +00:10:27,560 --> 00:10:30,780 +بيور C لإن احنا فيها إن أيّ سلك في الدنيا مقاومته + +153 +00:10:30,780 --> 00:10:37,360 +Tend to Zero، لأ نظريًا اه بس عمليًا لأ، وبالتالي حتى الملف + +154 +00:10:37,360 --> 00:10:39,360 +هنقول عنه Inductor، المواد الملف عبارة عن سلك + +155 +00:10:39,360 --> 00:10:45,060 +له مقاومة، والنفس العملية هل في عندك + +156 +00:10:45,060 --> 00:10:47,580 +دائرة كهربائية حقيقية في مصنع ولا في بيت ولا في + +157 +00:10:47,580 --> 00:10:51,600 +مشغل ما يكونش في عندك ملفات، ولا ممكن إلا يكون في + +158 +00:10:51,600 --> 00:10:55,650 +RLC وبالتالي الدائرة الحقيقية بيكون غالبًا فيها + +159 +00:10:55,650 --> 00:10:58,950 +التلات أنواع الـ R والـ L والـ C في كل دائرة + +160 +00:10:58,950 --> 00:11:02,370 +الكهربائية الحقيقية في بيوتنا في مصانعنا في مشغلنا + +161 +00:11:02,370 --> 00:11:05,270 +وين ما كان متلاصق هدول التلاتة لإن مش هي الدائرة + +162 +00:11:05,270 --> 00:11:09,590 +الكهربائية تبعت البيت هي كل الأجهزة الشغالة هي كل + +163 +00:11:09,590 --> 00:11:13,460 +الموتورات الشغالة خليني أقول مصنع، فترات كتيرة أو أو + +164 +00:11:13,460 --> 00:11:16,540 +أو حاجة، هو أهم حاجة موجودة في الموتورات غير الأسلاك + +165 +00:11:16,540 --> 00:11:19,560 +هي الملفات، مائة ألف ملف موجود، إن تقول كل جهاز خش + +166 +00:11:19,560 --> 00:11:22,940 +جوا بتلا + +201 +00:13:52,860 --> 00:13:57,660 +أو مع .. مع .. مع حصن الحظ والاستخدام إنه التيار + +202 +00:13:57,660 --> 00:14:00,380 +مرة بيكون مجرد ومرة بيكون سالب بالتالي بيخزّن بعض + +203 +00:14:00,380 --> 00:14:03,680 +بيفقد بيخزّن بعض بيفقد في المحصلة الـ source بيعطيك + +204 +00:14:03,680 --> 00:14:06,480 +بوارة بعض بيقول خدها بيديك بوارة بعض بيقول خدها في + +205 +00:14:06,480 --> 00:14:10,590 +النهاية ده مافيش بوارة، مافيش power استخدمة لإن الـ + +206 +00:14:10,590 --> 00:14:14,710 +power رايحة جاية، الـ doctor بيخزن power في نص بيعود + +207 +00:14:14,710 --> 00:14:17,750 +بفقد الـ power بيوديه للـ source في الأخر إذا مافيش + +208 +00:14:17,750 --> 00:14:23,950 +أسلاك إنه مقاومة مافيش أي فقد في الطاقة، بالتالي الـ + +209 +00:14:23,950 --> 00:14:28,430 +power فقط تفقد في المقاومات، طبعا هل تفقين أن كمان + +210 +00:14:28,430 --> 00:14:33,510 +مرة بنعيد مافيش pure A اطلاقا، مافيش pure C اطلاقا + +211 +00:14:33,510 --> 00:14:36,190 +لازم يكون في عندك مقاومات، وبالتالي هذه الشكلة + +212 +00:14:36,190 --> 00:14:40,190 +النظرية أن الطاقة بتبقى zero لكن الطاقة لأ بتكون + +213 +00:14:40,190 --> 00:14:44,950 +مفقودة في هذا الكلام، قعدنا بنشوف طبعا زي ما توي + +214 +00:14:44,950 --> 00:14:50,110 +حكينا، عشان بس نوضح هذه الشغلات أكتر، هذه نشوف كيف + +215 +00:14:50,110 --> 00:14:55,570 +بيصير معاك هذه، بيقول لي resistive power بيقول لي هذا + +216 +00:14:55,570 --> 00:15:00,690 +تيار وهذا جهود، هذا تيار وهذا جهود طبعا هدول اتنين + +217 +00:15:00,690 --> 00:15:04,030 +minimum، اتنين maximum اضربهم في بعض تطلع هذه الـ + +218 +00:15:04,030 --> 00:15:08,470 +power القوة هذه الخضراء لما تقضي على القوة هذه قوة + +219 +00:15:08,470 --> 00:15:11,850 +positive و positive، تعالى هنا شوف سالب مع سالب ايش + +220 +00:15:11,850 --> 00:15:14,730 +سالب في سالب ايش موجب، يعني في النهاية ما زالت + +221 +00:15:14,730 --> 00:15:17,230 +الاتنين ماشيين مع بعض، لما اتنين يكون موجبات موجبات + +222 +00:15:17,230 --> 00:15:20,010 +اتنين، واحدة سالبة التانية بتكون سالبة في النهاية + +223 +00:15:20,010 --> 00:15:22,810 +يعني القوة مش I في V، بتقضي سالب في سالب تلاقى + +224 +00:15:22,810 --> 00:15:26,190 +موجبة، فتقول أن انت هنا ضربت هذه في هذه، الضربات .. + +225 +00:15:26,190 --> 00:15:29,570 +فاعتقوا من العلي و الوطي، احنا ما اتفقين ممكن أش + +226 +00:15:29,570 --> 00:15:32,590 +نقارن من أعلى من التاني تماما لإن هذي وط هذي امبير + +227 +00:15:32,590 --> 00:15:35,930 +هذي فولت، ما .. ماناجعها فيها، بالتالي بيقول لي هنا الـ + +228 +00:15:35,930 --> 00:15:40,410 +power زي ما انت شايف ممكن أو زي رو أو أسوأ الظروف + +229 +00:15:40,410 --> 00:15:42,730 +بقدر أجيب الـ average، بقدر أجيب الـ averageلها قيمة + +230 +00:15:42,730 --> 00:15:47,830 +معينة بقدر أجيبها و بشتغلها، مافيش أي مشكلة عندي لو + +231 +00:15:47,830 --> 00:15:51,870 +كان في عندي فقط C أو فقط L ايش بصير؟ واحد بدى + +232 +00:15:51,870 --> 00:15:55,130 +يتقدم عن التاني بتسعين درجة، لما يكون فقط L أو فقط + +233 +00:15:55,130 --> 00:16:00,010 +C، واحد بدى جاهز يتقدم، مين يتقدم؟ في الـL الجهد + +234 +00:16:00,010 --> 00:16:03,590 +بتقدم وفي الـC التيار اللي بتقدم، مظبوط ولا لأ؟ + +235 +00:16:03,590 --> 00:16:06,710 +بفريش معناه كثير، خلّينا هذا purely resistive + +236 +00:16:06,710 --> 00:16:14,060 +circuit، circuit هذه أساسي مش موجودة تماما، بيقول لي + +237 +00:16:14,060 --> 00:16:19,880 +reactive يعني reactive، اما C أو L، بيفرجش معانا هنا + +238 +00:16:19,880 --> 00:16:24,220 +طلعاش بصير معاك، بيقول لي هادي positive و هادي + +239 +00:16:24,220 --> 00:16:27,920 +positive، بطلع positive طبعا هنا برضه positive و + +240 +00:16:27,920 --> 00:16:31,200 +positive، زرعي، اما هنا في هذا النص هادي positive + +241 +00:16:31,200 --> 00:16:35,140 +هادي ايش positive في negative، negative تطلع عندك + +242 +00:16:35,140 --> 00:16:40,170 +negative عشان 90 درجة وانت بتمشي هتلاقي الـ positive + +243 +00:16:40,170 --> 00:16:42,590 +بيساوي الـ negative .. positive بيساوي الـ negative + +244 +00:16:42,590 --> 00:16:45,130 +.. خدي الـ average .. Zero .. Zero .. Zero .. Zero + +245 +00:16:45,130 --> 00:16:46,870 +.. Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +246 +00:16:46,870 --> 00:16:46,970 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +247 +00:16:46,970 --> 00:16:46,990 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +248 +00:16:46,990 --> 00:16:48,490 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +249 +00:16:48,490 --> 00:16:48,910 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +250 +00:16:48,910 --> 00:16:49,150 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +251 +00:16:49,150 --> 00:16:49,190 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +252 +00:16:49,190 --> 00:16:49,270 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +253 +00:16:49,270 --> 00:16:49,350 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +254 +00:16:49,350 --> 00:16:56,370 +Zero .. + +255 +00:16:56,370 --> 00:17:01,970 +Zero .. Zero .. بتطلع negative وهنا positive مع + +256 +00:17:01,970 --> 00:17:06,150 +negative وهي negative تبعي وهنا برجع negative مع + +257 +00:17:06,150 --> 00:17:11,990 +negative، positive وهكذا فبتلاقي هذه هي موجودة و + +258 +00:17:11,990 --> 00:17:16,750 +بتطلع الـ power zero، طب لو جمعتهم كلهم بطلع التنين + +259 +00:17:16,750 --> 00:17:20,970 +مش مع بعض بس زاوية مش تسعين درجة، متفقنا لأ لما + +260 +00:17:20,970 --> 00:17:25,650 +تكون R وL وC بتكون هذه five مش تسعين، تلاتين ستين + +261 +00:17:25,650 --> 00:17:29,870 +أربعين مش عارفها، بقي تكون الرسمة بيقول الرسمة في + +262 +00:17:29,870 --> 00:17:33,290 +هذه الحالة بتكون هيك حاجة هذا و هذا مش 90 درجة + +263 +00:17:33,290 --> 00:17:37,790 +بيكون مرات positive و مرات negative لكن ايش بيكون + +264 +00:17:37,790 --> 00:17:40,530 +الـ positive أكتر من الـ negative، بيسوهوش بالظبط تفهم + +265 +00:17:40,530 --> 00:17:43,110 +انت الـ negative شغلة صغيرة وهنا الـ negative شغلة + +266 +00:17:43,110 --> 00:17:46,510 +صغيرة هذه لما ايش لما تكون عندك الـ R و الـ L و الـ C + +267 +00:17:46,510 --> 00:17:51,650 +مع بعضهم كلهم مع بعض، يعني طبعا أنا كلهم مع بعض حتى لو + +268 +00:17:51,650 --> 00:17:54,670 +واحد منهم فقد، بقي دي اعتبرهم كلهم مع بعض، بالتالي + +269 +00:17:54,670 --> 00:17:59,750 +لكن الـ average ماهواش فيه، لو كان هذا zero بروح منه + +270 +00:17:59,750 --> 00:18:04,210 +هادي وكأنها هي قصان الفاي اللي بتضايق السالب اللي + +271 +00:18:04,210 --> 00:18:10,360 +موجود، قصان الفاي بتضايقه في هذه الشغلة، تمام، طبعا + +272 +00:18:10,360 --> 00:18:14,500 +احنا الـ power اللي استخدمناها بس هحطها ونكمل + +273 +00:18:14,500 --> 00:18:18,480 +شغلنا ويأكد الكلام اللي احنا بنحكيه أن لا الـ + +274 +00:18:18,480 --> 00:18:22,880 +capacitor ولا الـ inductor بيعمل consuming للـ power + +275 +00:18:22,880 --> 00:18:29,340 +احنا بنقول الـ power average بتساوي I maximum + +276 +00:18:29,340 --> 00:18:31,060 +sorry I RMS + +277 +00:18:36,220 --> 00:18:42,900 +وهي قيمة طلعناها، جالي المنطق أن لما كنت عندي + +278 +00:18:42,900 --> 00:18:51,000 +دائرة زي هيك في كنة وهيك وهيك وأن هذه I في + +279 +00:18:51,000 --> 00:18:56,010 +إبسلون، معناته هنا I تربيع في الارهنا بيكون فيه + +280 +00:18:56,010 --> 00:18:58,510 +power وهنا بيكون فيه power، أقول الـ power هذه وهذه + +281 +00:18:58,510 --> 00:19:03,390 +وهذه ساوة هذه، صحيح ولا لأ؟ هذا في الـ DC circuit في + +282 +00:19:03,390 --> 00:19:06,730 +الـ AC circuit نفس القضية، المفروض هذه الـ power اللي + +283 +00:19:06,730 --> 00:19:12,230 +انت طلعت ليها وانت في عندك R وC وL، بتجيب الـ power + +284 +00:19:12,230 --> 00:19:14,150 +اللي هان والـ power اللي هان والـ power اللي هان + +285 +00:19:14,150 --> 00:19:19,330 +إذا هذه ساوة بس هذه ماتهدولش فيهم Zero power صح + +286 +00:19:19,330 --> 00:19:24,930 +ولا لأ؟ هجت هذه فيها اشتقها وشوف ما بتطلع معاك بدي + +287 +00:19:24,930 --> 00:19:29,510 +أثبت الآن أن ها بتساوي بس I تربيع في الـ R بأكد أن + +288 +00:19:29,510 --> 00:19:33,870 +كل الـ بيورمين راحت بس في المقاومة لأ كمستر فاية + +289 +00:19:33,870 --> 00:19:37,790 +استهلاك طاقة ولا الـ inductor استهلاك طاقة، جالي + +290 +00:19:37,790 --> 00:19:44,410 +قصان الفاي زمان لما عملتي المثلف هذا، قولت هدي V + +291 +00:19:44,410 --> 00:19:51,810 +مكسما، هدي VR وهدي VL ناقص VC ذاكرينه؟ هذه الزاوية + +292 +00:19:51,810 --> 00:19:56,190 +فاى، وقنية متان الفاي بتساوي هذه على هذه، الآن بدي + +293 +00:19:56,190 --> 00:20:00,310 +الـ cosine الفاي مش هذه على هذه، تمام، بقول الـ cosine + +294 +00:20:00,310 --> 00:20:02,930 +الفاي بتساوي VR على دي maximum، طبعا احنا ممكن + +295 +00:20:02,930 --> 00:20:06,610 +نكتبهم كالتالي، هذه ممكن يجي محلها Z لأن هذه بتساوي I + +296 +00:20:06,610 --> 00:20:15,270 +في Z وهذه بتساوي I عام، المشترك XL-XC وهذه بتساوي I + +297 +00:20:15,270 --> 00:20:22,850 +في الـ R فممكن تجيب I وI وI وتحط في المثلث ZRXL + +298 +00:20:22,850 --> 00:20:26,110 +-XC وبالتالي Z بتساوي هذه التربيعة زاد هذه + +299 +00:20:26,110 --> 00:20:31,250 +التربيعة، بالظبط هي من هنا جت في أن هذا المتلقى + +300 +00:20:31,250 --> 00:20:36,290 +المهم cos فى بس نذكره أنه بتساوي مجاور على وتر، مجاور + +301 +00:20:36,290 --> 00:20:41,190 +على وتر الـ VR قانونها بتساوي I maximum في الـ R الـ + +302 +00:20:41,190 --> 00:20:44,190 +VR بتساوي I maximum في الـ R، قال يلا عوّد مثل cos + +303 +00:20:44,190 --> 00:20:48,990 +فى هنا بتحط حجة cos فى طلعت لما اتعودتها طلعت + +304 +00:20:48,990 --> 00:20:57,680 +خليني أنا أعملها بدل هادي أحط I أرمزها هي V RMS بعد + +305 +00:20:57,680 --> 00:21:02,340 +الـ cos φ بدي أحط I maximum في الـ R على V maximum + +306 +00:21:02,340 --> 00:21:07,360 +هجت الـ I maximum و V maximum من وين بجيبها؟ الـ I + +307 +00:21:07,360 --> 00:21:13,920 +maximum هذه بتساوي جزء التمين I RMS حسنًا هذي بيسوي + +308 +00:21:13,920 --> 00:21:19,820 +جزء 2 V RMS، جزء 2 مع جزء 2 راحت، V RMS مع V RMS + +309 +00:21:19,820 --> 00:21:23,860 +راحت، I RMS و I RMS تربيع في R إذا ايش معناته + +310 +00:21:23,860 --> 00:21:29,290 +هنا بيقول الـ P average تحت الـ source دور عليها كلها + +311 +00:21:29,290 --> 00:21:33,330 +استهلكتها المقاومة، كلها استهلكت في المقاومة، هذا + +312 +00:21:33,330 --> 00:21:37,090 +بيأكد أن لا هنا في استهلاك طاقة ولا هنا في استهلاك + +313 +00:21:37,090 --> 00:21:41,510 +طاقة، الكلام اللي توحكناه والرسمات بتأكد هذا + +314 +00:21:41,510 --> 00:21:46,820 +الكلام إذا اللي أنا المعلومة اللي بدي إياها في + +315 +00:21:46,820 --> 00:21:51,080 +الآخر بيقول لي the power is completely dissipated + +316 +00:21:51,080 --> 00:21:56,860 +كلها استهلكات through the resistor i.e. no energy + +317 +00:21:56,860 --> 00:22:03,540 +dissipation in a capacitor or an inductor، طبعا أن + +318 +00:22:03,540 --> 00:22:10,960 +في الـ C وفي الـ L عشان التيار متردد، الطاقة تروح + +319 +00:22:10,960 --> 00:22:14,840 +الكباسة تربعها وترجحها تروح عليها وترجحها عشان + +320 +00:22:14,840 --> 00:22:18,880 +بيشحن وبيفقد في نفس القضية، وبالتالي الشغل المنطقي + +321 +00:22:18,880 --> 00:22:23,660 +أنه مايكونش فيه بوار اطلاقا، هذا مثال طبعا هذه + +322 +00:22:23,660 --> 00:22:27,670 +مقدمة الـ section هذا واللي وراه مقدمة لمواضيع كثير + +323 +00:22:27,670 --> 00:22:32,350 +واسعة خصوصا في الهندسة الكهربية بتلاقي كتب كاملة + +324 +00:22:32,350 --> 00:22:36,510 +على الـ power وعلى الشغلات اللي زي هذه وفي courses + +325 +00:22:36,510 --> 00:22:43,190 +اسمهم circuits والـ machines، المكن تتعاملوا مع + +326 +00:22:43,190 --> 00:22:46,770 +الـ power فبالتالي هذه موضوع صغير مقدمة + +327 +00:22:48,760 --> 00:22:51,860 +لموضوع، عبارة عن عدد شباتر وعبارة عن عنوان course + +328 +00:22:51,860 --> 00:22:57,100 +كامل موجود في قسم الهندسة الكهربية كيف تتعامل مع + +329 +00:22:57,100 --> 00:23:00,140 +البوار والـ generators والشغلات اللي زي هذه وجثة + +330 +00:23:00,140 --> 00:23:02,740 +البوار الـ apparent والـ real والـ imaginary وفي + +331 +00:23:02,740 --> 00:23:06,200 +جثات كبيرة، احنا لما ندخل في تفاصيلها كلها أن انت + +332 +00:23:06,200 --> 00:23:08,660 +لو حاطيتها على الـ net شغلات زي هيك هتلاقي شغلات + +333 +00:23:08,660 --> 00:23:12,360 +ممرضتش عليك لإن في معادلات ليها معقدة كيف تجيب الـ + +334 +00:23:12,360 --> 00:23:14,800 +imaginary part والـ real part وكيف تحل المعادلة + +335 +00:23:14,800 --> 00:23:18,420 +اللي فيها sin وcos وsin تربيع، قضية طويلة، احنا + +336 +00:23:18,420 --> 00:23:22,660 +بهمنا في الآخر يعني خلّيني أقول قشور الموضوع عشان + +337 +00:23:22,660 --> 00:23:25,920 +كده هتلاقي الـ example شغبة بسيطة جدا، المعلومة اللي + +338 +00:23:25,920 --> 00:23:31,360 +أنا عندي أن في عندي power factor الـ power تبع الـ + +339 +00:23:31,360 --> 00:23:35,560 +source عبارة عن الـ IRMS VRMS وبقفش بحط جنب كسن + +340 +00:23:35,560 --> 00:23:39,650 +الفايهذه الطاقة وأنفق ذات كاملة في المقاومة لو + +341 +00:23:39,650 --> 00:23:42,550 +قال لي أودر كل الطاقة، بقوله I RMS تربيع في الارض + +342 +00:23:42,550 --> 00:23:47,170 +زي هذا المثال، بقول لي أن series RLC circuit we have + +343 +00:23:47,170 --> 00:23:50,630 +الـ V maximum اللي أعطاكيه 150 volt، طبعا الـ V + +344 +00:23:50,630 --> 00:23:54,830 +maximum لو بده الـ V RMS بتجيبه صحيح ولا لأ؟ تمام، R + +345 +00:23:54,830 --> 00:24:02,580 +و C وL معطى ومجه مُعطَى What is the power delivered + +346 +00:24:02,580 --> 00:24:05,340 +to the circuit؟ بيقول يقدّش الـ power اللي أنا + +347 +00:24:05,340 --> 00:24:08,420 +جايبها من الـ source، أنا بدل ما أقول cos φ وأغلب + +348 +00:24:08,420 --> 00:24:10,940 +حالي بقول الـ power تبعت الـ source هي نفس الـ power + +349 +00:24:10,940 --> 00:24:14,900 +تبعت المقامة ولا لأ؟ ما هي فيش غيرها، ماحنا متفقين + +350 +00:24:14,900 --> 00:24:18,720 +إذا معناته الـ power لو جبتها بدل ما أقول I RMS V + +351 +00:24:18,720 --> 00:24:23,380 +RMS كصين الفاي ممكن أقول I RMS تربيع في الـ R خلاص + +352 +00:24:23,380 --> 00:24:26,580 +ولا بدي كصين الفاي ولا بدي حاجة، طب هذه من اين + +353 +00:24:26,580 --> 00:24:33,770 +أجيبها؟ بقول هذه عبارة عن V RMS على Z على Z لأن هذه + +354 +00:24:33,770 --> 00:24:37,190 +دائرة كاملة، شايفينش فيها، فيها R وL وC وبالتالي + +355 +00:24:37,190 --> 00:24:41,130 +بدي أنا المقاومة الكلية، مش واحد ينسى يقول هدول + +356 +00:24:41,130 --> 00:24:45,470 +متواصلة على التوالي، معناته R زائد XL ناقص XC هذا + +357 +00:24:45,470 --> 00:24:48,830 +كلام ما فيش منه لأن أنا بجمع جماعة عادي ماحياتي Z + +358 +00:24:48,830 --> 00:24:54,850 +سميتها تمام، Z بقدر أجيبها بقانونها V على max مديني + +359 +00:24:54,850 --> 00:24:59,530 +V maximum، مقدر أجيبها والـ R موطن، خلص السؤال تمام + +360 +00:24:59,530 --> 00:25:03,930 +هو طبعا هذا مثال الأرقام هذه السابقة فهو بيقول هنا + +361 +00:25:03,930 --> 00:25:08,490 +from the previous example، في example سابق يعطيني + +362 +00:25:08,490 --> 00:25:12,670 +نفس القيمة مطلعة قيمة Z بيقول Z بتساوي هذا هي 518 + +363 +00:25:12,670 --> 00:25:16,290 +طبعا هذه Z شبه الكلمة مرة نذكرها Z بتساوي square + +364 +00:25:16,290 --> 00:25:25,290 +root of R تربيع plus XL نقص XC، كاربيا هادي XL بساوة + +365 +00:25:25,290 --> 00:25:29,790 +Omega في L وهذه بساوة واحد على Omega في C عشان + +366 +00:25:29,790 --> 00:25:34,150 +نظرتنا ذاكرينهم، بالتالي Omega بعطية L بعطية طلعت + +367 +00:25:34,150 --> 00:25:39,430 +XL C معطية و Omega بعطية طلعت XC وR بعطية بعمل + +368 +00:25:39,430 --> 00:25:43,150 +كالكوليتر تطلع Z، Z طلعت عند + +401 +00:28:03,490 --> 00:28:07,330 +maximum when omega equal omega not يعني at + +402 +00:28:07,330 --> 00:28:11,150 +resonance صار في resonance at resonance the + +403 +00:28:11,150 --> 00:28:14,810 +average power is given by هذه روحات هذه بتروح مع + +404 +00:28:14,810 --> 00:28:19,050 +هذه و هذه بتروح مع هذه بيصير فيه تربيع على R مش + +405 +00:28:19,050 --> 00:28:22,490 +قضية برضه هذه صيغة بدلاش نحفظها بيقولوا يا مالدين + +406 +00:28:22,490 --> 00:28:28,760 +اليوم نرسمها بترسم هيك هاي ال power هذا العرض تبع + +407 +00:28:28,760 --> 00:28:34,920 +الـ Q هو دلالة على جودة ال circuit كل ما هذه + +408 +00:28:34,920 --> 00:28:39,420 +باقت كل ما كانت ال circuit جودة جدًا وبالتالي صار + +409 +00:28:39,420 --> 00:28:43,360 +في عندهم شغل القياس معدلي الجودة ليش؟ بقولك أنت في + +410 +00:28:43,360 --> 00:28:47,960 +النهاية بدك موجة بدي موجة إذا ها أنت بدك هذه وسمعت + +411 +00:28:47,960 --> 00:28:52,380 +هذه وسمعت هذه تمام؟ تسمعهم كلهم يصيبوا يشاوشوا لكن + +412 +00:28:52,380 --> 00:28:56,440 +هاذك هاذك اللي هاروحها تسمحها طبعا ال digital + +413 +00:28:56,440 --> 00:29:02,080 +الشارب the sharpness في ال digital زي ما تاول كنا نحكي + +414 +00:29:02,080 --> 00:29:04,760 +احنا زمان مش على أيامكم على أيامنا كان في عندنا + +415 +00:29:04,760 --> 00:29:09,400 +محطات يمكن شبه انقرضت لأ كنا نسمع منتقله كنا + +416 +00:29:09,400 --> 00:29:14,160 +نسمع ال BBC و نسمع صوت العرب وهذه المحطات ما عاد + +417 +00:29:14,160 --> 00:29:19,610 +منتقاله تسمعوا فيها ولا لأ كانت إذاعة منتقله مشهورة + +418 +00:29:19,610 --> 00:29:23,990 +كتير وانشهرت أكتر حاجة في الحرب الإسرائيلية على + +419 +00:29:23,990 --> 00:29:28,090 +بيروت في التامينات المصري اللي احتلت ووصلت بيروت + +420 +00:29:28,090 --> 00:29:33,470 +فيناك وطبعا دي الأخر جلت في جنوب لبنان مدة طويلة + +421 +00:29:33,470 --> 00:29:38,790 +من كذا سنة بس انسحبت لكن أول ما اشتذت لبنان ووصلت + +422 +00:29:38,790 --> 00:29:41,790 +بيروت وطلعت الفلسطينيين ويا ما راحوا على تونس + +423 +00:29:41,790 --> 00:29:46,750 +فكانت انشرت منتقله كتير لأنه كانت أغلب أخبارها الـ + +424 +00:29:46,750 --> 00:29:49,530 +pro palestinians يعني أخبارها كتير متأيدة + +425 +00:29:49,530 --> 00:29:52,710 +للفلسطينيين فو أنت ماشي فيها على شوارع غزة يمكن + +426 +00:29:52,710 --> 00:29:55,610 +تسعين فالمية من الناس فاتحين الراديو على منتقله بس + +427 +00:29:55,610 --> 00:29:58,710 +وكانت أنت أخبار تقريبا كل ساعة أو كل نص ساعة + +428 +00:29:58,710 --> 00:30:03,030 +أحيانا فكانت كتير محطة شهيرة منتقلة وولاية في + +429 +00:30:03,030 --> 00:30:07,370 +فرنسا أو أمارة في فرنسا عندها استقلال شبيه ذاتي + +430 +00:30:07,370 --> 00:30:13,320 +عندهم أظن حكم فدرالي بينهم وبين فرنسا فكانت يعني + +431 +00:30:13,320 --> 00:30:16,100 +محطة عربيه بس كانت تبث من هناك يعني عربي اللي + +432 +00:30:16,100 --> 00:30:18,640 +بيحكوا يعني بالعربي مش بالفرنسي فكانت مشهورة جدا + +433 +00:30:18,640 --> 00:30:23,100 +فالواحد كان هذه المحطة كانت كتير واضحة و تبث و و + +434 +00:30:23,100 --> 00:30:28,220 +الراديوهات كانت كتير تنحط عليها وانهم هذا بجيس + +435 +00:30:28,220 --> 00:30:31,580 +الجودة يعني مش معنين فيها the sharpness of the + +436 +00:30:31,580 --> 00:30:35,160 +curve is measured by a factor known as the quality + +437 +00:30:35,160 --> 00:30:38,820 +factor Q بيسموها Q بيسموها Omega Not على Delta + +438 +00:30:38,820 --> 00:30:43,160 +Omega هذا كل هذه مجلة كل ما هذه إيش صار فيها زادت + +439 +00:30:43,160 --> 00:30:48,020 +فكل ما العرض تبع قل نقول عن في عندي معامل جودة + +440 +00:30:48,020 --> 00:30:51,060 +عالي جداهذا المعامل الجودال احنا عملنا دعوة فيه + +441 +00:30:51,060 --> 00:30:55,300 +برضه وشغلات هندسية وشغلات تقانية الشيء هذه بقى سهل + +442 +00:30:55,300 --> 00:30:59,060 +الماكسيما نجيبه من النص هذا الماكسيما من النص جيس + +443 +00:30:59,060 --> 00:31:02,560 +العرض هذا هو delta omega طبعا هذه مالواش وحدات + +444 +00:31:02,560 --> 00:31:05,440 +شباب لان هذه frequency وهذه frequency وبالتالي + +445 +00:31:05,440 --> 00:31:08,980 +مالواش وحدات بس هذه مجرد ال quality factor عشان + +446 +00:31:08,980 --> 00:31:13,040 +فيه ملوى مرت عليكم بعد كده تكون له أصل في الكتب + +447 +00:31:14,300 --> 00:31:17,340 +بذاته omega is the width of the resonant power + +448 +00:31:17,340 --> 00:31:21,140 +curve at half maximum and given by برضه هذا ممكن + +449 +00:31:21,140 --> 00:31:26,060 +نشتقه من رياضيات مش مطالبين باشتقاقه وهذه قيمته + +450 +00:31:26,060 --> 00:31:29,440 +برضه مش مطالبين فيها القيمة تبعتها يعني احنا قعدنا + +451 +00:31:29,440 --> 00:31:31,820 +نشوف ايش المطالبين فيه في ال resonance لأن ال + +452 +00:31:31,820 --> 00:31:35,500 +resonance مر علينا عدة مرات فلازم احنا ندي الخلاصة + +453 +00:31:35,500 --> 00:31:40,300 +تبعته هاي ال example شوف ايش المطلوب فقط نقول in a + +454 +00:31:40,300 --> 00:31:43,040 +series RLC circuit + +455 +00:31:51,710 --> 00:31:57,890 +ماذا إذا قيمة C للطاقة هي أكتر؟ + +456 +00:32:05,230 --> 00:32:08,770 +يعني بتكون maximum at resonance .. at resonance + +457 +00:32:08,770 --> 00:32:10,790 +يعني أميجا بتسوي أميجا نوت .. هي المعلومة اللي + +458 +00:32:10,790 --> 00:32:14,890 +بدنا إياها .. لإن لو عرفت أنا أميجا اللي هي هاجسات + +459 +00:32:14,890 --> 00:32:17,850 +أميجا نوت و أميجا نوت أنا بعرف واحد على جذر ال IFC + +460 +00:32:17,850 --> 00:32:22,870 +طلع الجواب .. فبقولي solution The maximum current + +461 +00:32:22,870 --> 00:32:27,130 +is attained when omega equals omega naught diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..7c5ca8252aa467daeb8c49ed53dbe696468cd0d6 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y_postprocess.srt @@ -0,0 +1,1844 @@ +1 +00:00:10,120 --> 00:00:15,880 +بعد بسم الله الرحمن الرحيم نبدأ اخر محاضرة التيار + +2 +00:00:15,880 --> 00:00:19,820 +المتردد اتفقنا انه بيجي من source اللي هو ال + +3 +00:00:19,820 --> 00:00:23,840 +generator او ال dynamoالـ Voltage يُعطى بهذه + +4 +00:00:23,840 --> 00:00:28,000 +الصيغة V بصوّي Maximum Sine Omega T، هجيت التيار، + +5 +00:00:28,000 --> 00:00:33,820 +مشكلته إنه صيغة إما بكون in phase أو out of phase + +6 +00:00:33,820 --> 00:00:38,780 +أو 90 درجة أو بزاوية مابا، in general إحنا بنقول I + +7 +00:00:38,780 --> 00:00:44,880 +Maximum، اتفقنا، Sine Omega T ماقص Phiهيتهدف فاي + +8 +00:00:44,880 --> 00:00:50,100 +إذا الدائرة فيها فقط R بتكون سفر إذا فقط فيها L + +9 +00:00:50,100 --> 00:00:53,840 +بتكون تسعين درجة إذا فقط فيها C بتكون ثالث تسعين + +10 +00:00:53,840 --> 00:00:57,700 +درجة إذا فيها التلاتة مع بعض بتكون هدف فاي قيمة + +11 +00:00:57,700 --> 00:01:02,000 +لها تلاتين ستين ماقص ستين مانجعوا فيها تمام؟ لكن + +12 +00:01:02,000 --> 00:01:06,560 +في النهاية هادوا التنتين in general الآن بدنا نشوف + +13 +00:01:06,560 --> 00:01:11,780 +ال powerزي ما اتفقنا ان الطيار والجهود له قيم + +14 +00:01:11,780 --> 00:01:15,840 +مختلفة وبما ان ال power بالسوء الطيار في الجهود + +15 +00:01:15,840 --> 00:01:19,560 +اذا انا بتوقع برضه البواي تتغير مع تغير الزمان كيف + +16 +00:01:19,560 --> 00:01:24,540 +نتعامل معاها بجهة الطيار والجهود يفهمنا ان I am a + +17 +00:01:24,540 --> 00:01:28,600 +mass وهي القيمة الفعالة وهي ال average value بنفسي + +18 +00:01:28,600 --> 00:01:31,350 +عمري نجيب ال average value تبعتي ال powerإذا + +19 +00:01:31,350 --> 00:01:35,090 +الموضوع الان power in AC circuits كيف ال power و + +20 +00:01:35,090 --> 00:01:38,590 +احنا في الآخر الفايدة من الكعبة او من التيار + +21 +00:01:38,590 --> 00:01:40,970 +الكعبية هو ال power اللي بتطلع او هي الطاقة اللي + +22 +00:01:40,970 --> 00:01:44,210 +بتطلع اذا كانت الطاقة ضوئية طاقة حرارية طاقة عركية + +23 +00:01:44,210 --> 00:01:49,470 +اي ان كانت الطاقة او الطاقة معناته power بيقول the + +24 +00:01:49,470 --> 00:01:54,110 +instantaneous power delivered by AC source is + +25 +00:01:54,110 --> 00:01:56,750 +بتدري بقى ان ال power بتبقى اي source احنا كنا لما + +26 +00:01:56,750 --> 00:02:02,230 +زمان لما نقول هيك هاي المقاومةوهذه إبسلون بقول + +27 +00:02:02,230 --> 00:02:05,510 +والله هنا في power بالثاوي I في إبسلون، مظبوط ولا + +28 +00:02:05,510 --> 00:02:09,790 +لأ؟ هذه فاية طبعة ال source بقول هي حسبها هنا + +29 +00:02:09,790 --> 00:02:12,890 +power بالثاوي I تربيع في ال R هذه بالثاوي هذه + +30 +00:02:13,700 --> 00:02:16,660 +وانتهت يعني انا باخد من هنا طاقة بفقدها هنا كيف + +31 +00:02:16,660 --> 00:02:21,300 +فقدت هنا انا لقي طاقة حرارة بسرعة عامة تمام اذا + +32 +00:02:21,300 --> 00:02:24,820 +انا في عندي اول كنت اجيب ال I في Y بدي احسب نفس + +33 +00:02:24,820 --> 00:02:29,900 +القضية انا عندي source الان في عندي خليني اقول هاي + +34 +00:02:29,900 --> 00:02:33,580 +source وفي عندي انا ممكن اكتبت حالات اللي عندى هدا + +35 +00:02:33,580 --> 00:02:37,840 +هى هاي عندي الحالات هدى في عندي source هنا اللي هو + +36 +00:02:37,840 --> 00:02:43,370 +V بيسموه V maximum sine Omega T هنا في تياروالتيار + +37 +00:02:43,370 --> 00:02:46,930 +هذي بيسوي I maximum فى I Omega T نقص Phi بيقولى + +38 +00:02:46,930 --> 00:02:50,850 +جبلى الطاقة تبعات ال source خلينى نقوله عشان ده + +39 +00:02:50,850 --> 00:02:54,230 +مزكين ال source هو ال generator اللى فى بيوتكم هذا + +40 +00:02:54,230 --> 00:02:59,330 +فى إله قدرة بيكون مكتوبة فى كل generator عندكم لو + +41 +00:02:59,330 --> 00:03:02,490 +generator صغير فى الدار عندكم هتلاقوا مكتوب عليه + +42 +00:03:02,490 --> 00:03:08,590 +الفوولت أمبير او واحد كيلو وولت أمبير هيك بيكون + +43 +00:03:08,590 --> 00:03:12,690 +مكتوب عليه تمام اللي بنقول عنه تلاتة احنا بنقول + +44 +00:03:12,690 --> 00:03:15,890 +عنه تلاتة بيكون مكتوب عليه تلاتة كيلو وولت أمبير + +45 +00:03:15,890 --> 00:03:18,850 +بيكون مكتوب على ال generator تمام طبعا زي ما انتوا + +46 +00:03:18,850 --> 00:03:22,770 +عارفين برضه الشغل العام اللي وصلتنا للكل لحد + +47 +00:03:22,770 --> 00:03:26,450 +العامين ان التلاتة بتديك تلاتةبديك أقل من تلاتة + +48 +00:03:26,450 --> 00:03:29,990 +ونشوف الآن من وين تيجي هذه الأمور بيقول انت كدا + +49 +00:03:29,990 --> 00:03:35,330 +بتحسب البوار الاصل البوار هتكون بتساوي I في V هى + +50 +00:03:35,330 --> 00:03:39,850 +الاصل انا عندي قاللي I ماهاش قيمة واحدة بتساوي I + +51 +00:03:39,850 --> 00:03:43,790 +maximum sine Omega T نقص Phi و V بتساوي V maximum + +52 +00:03:43,790 --> 00:03:49,500 +sine Omega Tدربتها وضعتها بس قبل ما اخدي ال + +53 +00:03:49,500 --> 00:03:52,800 +average هذه بدي افكها شباب في اولاقها في حساب + +54 +00:03:52,800 --> 00:03:57,220 +المثلثات بتقول sin omega t نقص فاي بيسوي sin omega + +55 +00:03:57,220 --> 00:04:04,280 +t cosine فاي ماقص sin phi cosine omega t تمام؟ فدي + +56 +00:04:04,280 --> 00:04:10,000 +حطها هنا بس اضبطها وده هيإذا هذه مجرد بعد ما + +57 +00:04:10,000 --> 00:04:13,220 +ضرقتهم بعد درب عادي بيتعلقوا بالزمن بيتعلقوا + +58 +00:04:13,220 --> 00:04:18,160 +بالزمن بس فكتها طبعا ال I maximum و V maximum عامل + +59 +00:04:18,160 --> 00:04:21,100 +مشترك و اشتغلنا على هذه الأساس جاي دلوقتي نجيب ال + +60 +00:04:21,100 --> 00:04:25,140 +average value لهذه القيمة ال average value لهذه + +61 +00:04:25,140 --> 00:04:28,380 +القيمة كيف بدي أجيبها بدي أجيبها بهذه الصيغة بيقول + +62 +00:04:28,380 --> 00:04:33,560 +بي average بتساوي I maximum V maximum عامل مشترك + +63 +00:04:33,560 --> 00:04:39,400 +طب على الثابت ال average تبعه مدهشطب نفسه، اش ال + +64 +00:04:39,400 --> 00:04:43,720 +average لو القيم خمسة وخمسة وخمسة وخمسة؟ خمسة فال + +65 +00:04:43,720 --> 00:04:47,780 +average ما هو ال average بشبه شباب الاشتقاق الحديث + +66 +00:04:49,170 --> 00:04:53,170 +تجيبها تمام I maximum V maximum Sine Omega T + +67 +00:04:53,170 --> 00:04:56,910 +average Cos Phi هذا ثابت وهذا ثابت ضبط ما هو Sine + +68 +00:04:56,910 --> 00:05:00,790 +Omega T ماقس Sine Omega T Cos Omega T average Sine + +69 +00:05:00,790 --> 00:05:05,090 +Phi الآن احنا سابقا لما جيبنا الارمس و ال V ارمس + +70 +00:05:05,090 --> 00:05:09,510 +قولنا ال Sine تربية ال average بحنص ولا لألما + +71 +00:05:09,510 --> 00:05:11,570 +يقولون ان ال cosine تربيع زي ال sine تربيع بتسوى + +72 +00:05:11,570 --> 00:05:13,690 +واحد وبالتالي يقولون ان ال sine تربيع ال every + +73 +00:05:13,690 --> 00:05:19,130 +تبحى واحد طيب هذه بده حط محل همس طب هذه جالي هذه + +74 +00:05:19,130 --> 00:05:24,900 +sin في cosine و ال sin في cosine sinصح مش sin + +75 +00:05:24,900 --> 00:05:28,640 +تربية يعني sin 2 فيتا بالنهاية مش sin 2 فيتا + +76 +00:05:28,640 --> 00:05:32,920 +بتساوي 2 sin فيتا cos فيتا يعني انا لما اقول هذه + +77 +00:05:32,920 --> 00:05:42,680 +عبارة عن sin ωt cos ωt بتساوي sin ωt عتني مظبوط + +78 +00:05:42,680 --> 00:05:46,080 +ولا لأ في النهاية sin و احنا متفقين من اول ال sin + +79 +00:05:46,080 --> 00:05:49,460 +لحالها او ال cos لحالها جديش الأول يتبعها ال sin + +80 +00:05:49,460 --> 00:05:57,600 +لحالهاماذا يعني عدد عددها؟ عدد عددها نصف وعدد عدد + +81 +00:05:57,600 --> 00:06:04,060 +عددها نصف تمام يعني يعني يعني يعني يعني يعني يعني + +82 +00:06:04,060 --> 00:06:08,060 +يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني + +83 +00:06:08,060 --> 00:06:08,640 +يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني + +84 +00:06:08,640 --> 00:06:08,740 +يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني + +85 +00:06:08,740 --> 00:06:09,080 +يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني + +86 +00:06:09,080 --> 00:06:09,140 +يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني + +87 +00:06:09,140 --> 00:06:09,460 +يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني + +88 +00:06:09,460 --> 00:06:14,580 +يعني يعني يعني يعني يعني يعهذه بدي احط محلها نص + +89 +00:06:14,580 --> 00:06:19,220 +صار نص I maximum V maximum و الباقي Zero و بدي احط + +90 +00:06:19,220 --> 00:06:24,060 +cos فهذه بدي احط cos فهذه فطلعت بهذه الصيغة + +91 +00:06:28,110 --> 00:06:31,570 +هذه القيمة تخلّيني اشيها maximum و مايبقى maximum + +92 +00:06:31,570 --> 00:06:35,090 +وانت متفقين الآن من يوم مطالع في ال AC circuits ان + +93 +00:06:35,090 --> 00:06:38,230 +الأجهزة بتقيص ال maximum و لا ال RMS value ال RMS + +94 +00:06:38,230 --> 00:06:41,030 +value وبالتالي لما أقول ان انا 220 volt هذي 220 + +95 +00:06:41,030 --> 00:06:45,250 +volt maximum و لا ال RMS ال RMS وكل القوانين تبعتي + +96 +00:06:45,250 --> 00:06:49,430 +بشتغل عليها على RMS أنا وبالتالي قاللي هذي طلحها I + +97 +00:06:49,430 --> 00:06:54,710 +RMS بقول هذي الاتنين بيعمل هيك و بيعمل هيك بصح + +98 +00:06:54,710 --> 00:07:00,410 +ليه؟مش جزر تنين في جزر تنين طيب هذه I I maximum I + +99 +00:07:00,410 --> 00:07:08,270 +جزر تين مش هي RMS و هذه هي VRMS إذا الصيغة الـP + +100 +00:07:08,270 --> 00:07:15,070 +average بيساوي IRMS في VRMS في cos ف في cos فطلعت + +101 +00:07:15,070 --> 00:07:20,710 +بهذه الصيغة انا المفروض القانون في ال DC circuit I + +102 +00:07:20,710 --> 00:07:27,670 +في V هنا طلعت I في V بصناعتة cos فنطة cos فى ليه؟ + +103 +00:07:27,670 --> 00:07:32,750 +منون اجت؟ cos فى اجت لان انت لما تيجي تضرب مشكلتك + +104 +00:07:32,750 --> 00:07:36,250 +ان انت عارفش تضرب حد يعني خمسة في تلاتة مش جاي مان + +105 +00:07:36,250 --> 00:07:39,310 +بتسوي خمستعاش عندهم لان لما تكون انت خمسة ليك مش + +106 +00:07:39,310 --> 00:07:42,830 +مبروه تكون تلاتة في اللحظات هى هى قعدنا نشوف كيف + +107 +00:07:42,830 --> 00:07:47,530 +بعض الرسمات بالتالي اجت cos فى تطلعوا انتوا واكتش + +108 +00:07:47,530 --> 00:07:50,570 +هدى ال P average بيساوي هدى فى هدى وهدى مالهاش + +109 +00:07:50,570 --> 00:07:55,850 +دعوة لان هدى تكون اس فى0 لما تكون 0 معناته ال + +110 +00:07:55,850 --> 00:07:58,850 +phase بيصلوا مع بعض لما تكون هذه خمسة هذه تكون + +111 +00:07:58,850 --> 00:08:02,170 +تلاتة لما تكون هذه اتنين هذه تكون اقل شوية و هكذا + +112 +00:08:02,170 --> 00:08:04,370 +لما تكون واحدة maximum التانية بالضرورة تكون + +113 +00:08:04,370 --> 00:08:06,790 +maximum لما تكون واحدة minimum التانية بالضرورة + +114 +00:08:06,790 --> 00:08:10,210 +تكون minimum بالتالي انت بتضرب ضرب عادي وهذه + +115 +00:08:10,210 --> 00:08:14,450 +الشغله المنطقية عشان كده ايش بنقول قصان الفي ايه + +116 +00:08:14,450 --> 00:08:20,640 +شقبق قيمة لها؟وأزر قيمة صفر هال gate اللي مكتوب + +117 +00:08:20,640 --> 00:08:26,400 +شباب اللي مكتوب عندكم على ال generator هو هذا في + +118 +00:08:26,400 --> 00:08:31,810 +هذاهذه بيسموها الـ Real الـ Apparent Power الـ + +119 +00:08:31,810 --> 00:08:36,490 +Apparent Power القدرة الظاهرة هادي في هادي بتطلع + +120 +00:08:36,490 --> 00:08:39,610 +عندي انا واحد اللي انا بستهلكه هادي بتضربها في + +121 +00:08:39,610 --> 00:08:42,530 +قصاني الفاي قصاني الفاي غالبا بتكونش بتسوي واحد + +122 +00:08:42,530 --> 00:08:47,590 +بتسوي 0.8 أو 0.7 عشان كده بيقول انا عندي هادي في + +123 +00:08:47,590 --> 00:08:50,710 +هادي هي اللي بيكون مكتوب على ال generator ال I RMS + +124 +00:08:50,710 --> 00:08:55,190 +في ال V RMS بيكون كتبين عليها تلات تلافكيلو فولت + +125 +00:08:55,190 --> 00:08:57,350 +انبير اذا ما اريد استخدام كيلو فولت انبير اذا ما + +126 +00:08:57,350 --> 00:08:57,370 +اريد استخدام كيلو فولت انبير اذا ما اريد استخدام + +127 +00:08:57,370 --> 00:08:58,310 +كيلو فولت انبير اذا ما اريد استخدام كيلو فولت + +128 +00:08:58,310 --> 00:08:58,930 +اريد استخدام كيلو فولت انبير اذا ما اريد استخدام + +129 +00:08:58,930 --> 00:09:00,090 +كيلو فولت انبير اذا ما اريد استخدام كيلو فولت + +130 +00:09:00,090 --> 00:09:02,970 +انبير اذا ما اريد استخدام كيلو فولت انبير اذا ما + +131 +00:09:02,970 --> 00:09:05,990 +اريد استخدام كيلو فولت انبير اذا ما اريد استخدام + +132 +00:09:05,990 --> 00:09:10,810 +كيلو فولت انبير اذا ما اريداللي بيكون مكتوب شباب + +133 +00:09:10,810 --> 00:09:14,910 +دايما على ال generator هي ال RMS value فى ال V RMS + +134 +00:09:14,910 --> 00:09:17,470 +value انه انا معرفه ان ال power مستوى I فى ال V + +135 +00:09:17,470 --> 00:09:22,690 +كده برضه جاله عشان يميز بديش احط watt بدي احط volt + +136 +00:09:22,690 --> 00:09:25,940 +ampere هجيت فى الفيزيا volt ampere مش هي wattهي + +137 +00:09:25,940 --> 00:09:29,460 +وقتي في النهاية لكن برضه عشان التمييز التجاري + +138 +00:09:29,460 --> 00:09:33,560 +قالوا خلّي الوقت مفهوم يصيرها مفهوم و الوقت مفهوم + +139 +00:09:33,560 --> 00:09:36,420 +قالوا خلّي الوقت هي الشغلة اللي انت في الحقيقة + +140 +00:09:36,420 --> 00:09:42,140 +بتستغلها في الآخر انت بدك تشغل جهاز عبارة عن الف + +141 +00:09:42,140 --> 00:09:46,030 +وقت تقدرش تشغله مقدرش تشغلهتمام؟ ليش؟ لأنه أنا ب + +142 +00:09:46,030 --> 00:09:50,510 +.. مظبوط هو لكن بديك ألف وات لكن بيصلقاش الف وات + +143 +00:09:50,510 --> 00:09:54,530 +في النهاية عشان كده تمانية تقدر تشغل فخلوا الوقت + +144 +00:09:54,530 --> 00:09:58,690 +لل .. لل real power فخلوا الوقت للشغل ال real أما + +145 +00:09:58,690 --> 00:10:02,050 +ال appearance الشغل الظاهر انه مكتوب عليها الجدى + +146 +00:10:02,180 --> 00:10:05,660 +عشان كده بيسموها apparent power هذا الظاهر هذا + +147 +00:10:05,660 --> 00:10:08,640 +المكتوب على ال generator ال real اللي انت بتقدر + +148 +00:10:08,640 --> 00:10:11,840 +تستخدمه بيكتبه من ال cosine of y و ال cosine of y + +149 +00:10:11,840 --> 00:10:17,760 +بيعتمد على الدائرة تبعتك حسب إيش فيها طبعا و كنا + +150 +00:10:17,760 --> 00:10:22,100 +بنعرف لو كانت في الشغل العملية الآن نحكي عن الشغل + +151 +00:10:22,100 --> 00:10:27,560 +العملية مافيش دائرة ممكن تكون L لحالها ب your L او + +152 +00:10:27,560 --> 00:10:30,780 +ب your C لإن احنا فيها إنا أي سلك في الدنيا مقام + +153 +00:10:30,780 --> 00:10:37,360 +to zeroلأ نظريا اه بس عمليا لأ وبالتالي حتى الملف + +154 +00:10:37,360 --> 00:10:39,360 +هنقول عنه inductor المواد الملف عبارة عن سلك + +155 +00:10:39,360 --> 00:10:45,060 +الحاسب والحاسب المقاومة بالنفس العملية هل في عندك + +156 +00:10:45,060 --> 00:10:47,580 +دائرة كهربائية حقيقية في مصنع ولا في بيت ولا في + +157 +00:10:47,580 --> 00:10:51,600 +مشغل مايكونش في عندك ملفات ولا ممكن الا يكون في + +158 +00:10:51,600 --> 00:10:55,650 +ILSبالتالي الديارة الحقيقية بيكون غالبا فيها + +159 +00:10:55,650 --> 00:10:58,950 +التلات أنواع ال R و ال L و ال C في كل الديارة + +160 +00:10:58,950 --> 00:11:02,370 +الكهربائية الحقيقية في بيوتنا في مصانعنا في مشغلنا + +161 +00:11:02,370 --> 00:11:05,270 +وين ما كان متلابس هدول التلاتة لان مش هي الديارة + +162 +00:11:05,270 --> 00:11:09,590 +الكهربية تبعتي البيت هي كل الأجهزة الشغالة هي كل + +163 +00:11:09,590 --> 00:11:13,460 +المطارات الشغالة خلاني أقول مصنعمفترات كتيرة و او + +164 +00:11:13,460 --> 00:11:16,540 +او حاجة هو اهم حاجة موجودة في المطرات غير الأسلاك + +165 +00:11:16,540 --> 00:11:19,560 +هي الملفات مائة ألف ملف موجود ان تقول كل جهاز خش + +166 +00:11:19,560 --> 00:11:22,940 +جوا بتلاقي فيه ملفات فبالتالي الألموجودة طبعا + +167 +00:11:22,940 --> 00:11:25,500 +بالإضافة إلى ال C الكثير الأجهزة بيكون فيها C's + +168 +00:11:25,500 --> 00:11:28,740 +اللي هو الcapacitors والأسلاك والارض ما هي مفهومين + +169 +00:11:28,740 --> 00:11:31,580 +هدول already موجودة by default فبالتالي الدوائل + +170 +00:11:31,580 --> 00:11:37,210 +الحقيقيةالعملية غالبا بيكون فيها R و L و C .. R و + +171 +00:11:37,210 --> 00:11:42,590 +L و C .. تمام .. و هدول التراتة شركتهم بتحدد قيمة + +172 +00:11:42,590 --> 00:11:46,870 +Phi .. شركتهم هي بتحدد قيمة Phi في الدائرة + +173 +00:11:53,460 --> 00:11:56,300 +معامل ال power يعني انا عندى ال power ألف بضرورة + +174 +00:11:56,300 --> 00:12:00,160 +في معامل معين عشان اشوف كده انا بستفيد منها فاسمه + +175 +00:12:00,160 --> 00:12:04,380 +cos φ عبارة عن معامل ال power طيب ايش محق واحدة + +176 +00:12:04,380 --> 00:12:09,700 +cos ف هلجت؟وحدتها مالهاش وحدة لإن احنا متقنين ال + +177 +00:12:09,700 --> 00:12:12,800 +power volt ampere او هديك volt ampere اذا انا دي + +178 +00:12:12,800 --> 00:12:15,960 +مالهاش عشان كده دول اصلا مالها معامل معامل ال + +179 +00:12:15,960 --> 00:12:19,360 +power تمام it is clear that حاجات اللي اتول انا + +180 +00:12:19,360 --> 00:12:24,780 +حكيته for a purely resistive power شغلها نظرية + +181 +00:12:24,780 --> 00:12:28,520 +مافيش عندك الا مقاومة مش بيكون ال I و ال V in + +182 +00:12:28,520 --> 00:12:34,370 +phase يعني الفاي هدي زفرلما يكون صفر كوساين صفر + +183 +00:12:34,370 --> 00:12:39,590 +واحد بتكون هذه average بالساوى maximum وهذه لو ان + +184 +00:12:39,590 --> 00:12:43,250 +في عندى انا دائرة ال motor generator مظبوط فيها + +185 +00:12:43,250 --> 00:12:47,090 +ملفات ولا فيها capacitors كان انا مكتوب الف بستفيد + +186 +00:12:47,090 --> 00:12:51,400 +الف لكن هذه الصغارات ماتحصلشالفيز أنجل فاي هو زيرو + +187 +00:12:51,400 --> 00:12:55,680 +والقوة الواحدة هي واحدة يعني بسوء واحد and so the + +188 +00:12:55,680 --> 00:12:58,420 +average power is maximum قال لي طب لو كان في عندك + +189 +00:12:58,420 --> 00:13:06,340 +دائرة فيها بس C أو بس L بس C فاي ب 97 درجة فقط L + +190 +00:13:06,340 --> 00:13:10,520 +بتكون فاي ب 97 انا في النهاية عندي cosine ال + +191 +00:13:10,520 --> 00:13:14,880 +cosine أرجع أقول even و load functionالكوساين even + +192 +00:13:14,880 --> 00:13:18,200 +يعني كوساين التسعين و لا كوساين السالب تسعين بتفرج + +193 +00:13:18,200 --> 00:13:23,660 +و جديش بالساوي zero مافيش power تطلع مافيش power + +194 +00:13:23,660 --> 00:13:27,720 +وهذه شغلة منطقية خلينا نشوف انه بيقول في ال + +195 +00:13:27,720 --> 00:13:31,860 +capacitor و في ال inductor مافيش طاقة مافيش power + +196 +00:13:31,860 --> 00:13:36,240 +ليش؟ بيقول هو نيجي نرجع روح حد واحدة ال capacitor + +197 +00:13:36,240 --> 00:13:42,420 +ايش شغلته؟يخزّن طاقة والإندكتور الشغلته يخزّن طاقة + +198 +00:13:42,420 --> 00:13:46,760 +إذا قد تخزين بس هنا إيش مشكلة كمان في ال .. في ال + +199 +00:13:46,760 --> 00:13:49,320 +EC circuit في ال DC circuit بيخزّن طاقة .. الطاقة + +200 +00:13:49,320 --> 00:13:52,860 +موجودة في ال EC circuit بيقول لإنه مع .. مع الأسف + +201 +00:13:52,860 --> 00:13:57,660 +أو مع .. مع .. مع حصن الحظ والاستخدام إنه التيار + +202 +00:13:57,660 --> 00:14:00,380 +مرة بيكون مجرد ومرة بيكون سالد بالتالي بيخزّن بعض + +203 +00:14:00,380 --> 00:14:03,680 +بيفقد بيخزّن بعض بيفقد في المحصلة ال source بيعطيك + +204 +00:14:03,680 --> 00:14:06,480 +بوارة بعض بيقول خدها بيديك بوارة بعض بيقول خدها في + +205 +00:14:06,480 --> 00:14:10,590 +النهاية ده مافيش بوارةمافيش power استخدمة لإن ال + +206 +00:14:10,590 --> 00:14:14,710 +power رايحة جاية ال doctor بيخزن power في نص بيعود + +207 +00:14:14,710 --> 00:14:17,750 +بفقد ال power بيوديه لل source في الأخر إذا مافيش + +208 +00:14:17,750 --> 00:14:23,950 +أسلاك إنه مقاومة مافيش أي فقد في الطاقةبالتالي ال + +209 +00:14:23,950 --> 00:14:28,430 +power فقط تفقد في المقاومات طبعا هل تفقين ان كمان + +210 +00:14:28,430 --> 00:14:33,510 +مرة بنعيد مافيش pure A اطلاقا مافيش pure C اطلاقا + +211 +00:14:33,510 --> 00:14:36,190 +لازم يكون في عندك مقاومات وبالتالي هذه الشكلة + +212 +00:14:36,190 --> 00:14:40,190 +النظرية ان الطاقة بتبقى zero لكن الطاقة لأ بتكون + +213 +00:14:40,190 --> 00:14:44,950 +مفقودة في هذا الكلام قعدنا بنشوف طبعا زي ما توي + +214 +00:14:44,950 --> 00:14:50,110 +حكينا عشان بس نوضح هذه الشغلات اكترهذه نشوف كيف + +215 +00:14:50,110 --> 00:14:55,570 +بيصير معاك هذه بيقوللي resistive power بيقوللي هذا + +216 +00:14:55,570 --> 00:15:00,690 +تيار وهذا جهود هذا تيار وهذا جهود طبعا هدول اتنين + +217 +00:15:00,690 --> 00:15:04,030 +minimum اتنين maximum اضربهم في بعض تطلع هذه ال + +218 +00:15:04,030 --> 00:15:08,470 +powerالقوة هذه الخضراء لما تقضي على القوة هذه قوة + +219 +00:15:08,470 --> 00:15:11,850 +positive و positive تعالى هنا شوف سالب مع سالب ايش + +220 +00:15:11,850 --> 00:15:14,730 +سالب في سالب ايش موجب يعني في النهاية ما زالت + +221 +00:15:14,730 --> 00:15:17,230 +الاتنين ماشيين مع بعض لما اتنين يكون موجبات موجبات + +222 +00:15:17,230 --> 00:15:20,010 +اتنين واحدة سالبة التانية بتكون سالبة في النهاية + +223 +00:15:20,010 --> 00:15:22,810 +يعني القوة مش I في V بتقضي سالب في سالب تلاقى + +224 +00:15:22,810 --> 00:15:26,190 +موجبة فتقول ان انت هنا ضربتهذه في هذه الضربات .. + +225 +00:15:26,190 --> 00:15:29,570 +فاعتقوا من العلي و الوطي احنا مااتفقين ممكن اش + +226 +00:15:29,570 --> 00:15:32,590 +نقارن من اعلى من التاني تماما لإن هذي وط هذي امبير + +227 +00:15:32,590 --> 00:15:35,930 +هذي فولت ما .. ماناجعها فيها بالتالي بيقولي هنا ال + +228 +00:15:35,930 --> 00:15:40,410 +power زي ما انت شايف ممكن او زي رو او اسوأ الظروف + +229 +00:15:40,410 --> 00:15:42,730 +بقدر اجيب ال average بقدر اجيب ال averageلها قيمة + +230 +00:15:42,730 --> 00:15:47,830 +معينة بقدر اجيبها و بشتغلها مافيش اي مشكلة عندي لو + +231 +00:15:47,830 --> 00:15:51,870 +كان في عندي فقط C او فقط L ايش بصير؟ واحد بدى + +232 +00:15:51,870 --> 00:15:55,130 +يتقدم عن التاني بتسعين درجة لما يكون فقط L او فقط + +233 +00:15:55,130 --> 00:16:00,010 +C واحد بدى جاهز يتقدم، مين يتقدم؟ في الـL الجهد + +234 +00:16:00,010 --> 00:16:03,590 +بتقدم وفي الـC الطيارة اللى بتقدم، مظبوط ولا لأ؟ + +235 +00:16:03,590 --> 00:16:06,710 +بفريش معناه كتير خلّينا هذا purely resistive + +236 +00:16:06,710 --> 00:16:14,060 +circuit circuit هذه أساسي مش موجودة تمامها بيقولي + +237 +00:16:14,060 --> 00:16:19,880 +reactive يعني reactive اما C او L بيفرجش معانا هنا + +238 +00:16:19,880 --> 00:16:24,220 +طلعاش بصير معاك بيقولي هادي positive و هادي + +239 +00:16:24,220 --> 00:16:27,920 +positive بطلع positive طبعا هنا برضه positive و + +240 +00:16:27,920 --> 00:16:31,200 +positive زرعي اما هنا في هذا النص هادي positive + +241 +00:16:31,200 --> 00:16:35,140 +هادي ايش positive في negative negative تطلع عندك + +242 +00:16:35,140 --> 00:16:40,170 +negativeعشان 90 درجة وانت بتمشي هتلاقي ال positive + +243 +00:16:40,170 --> 00:16:42,590 +بيساوي ال negative .. positive بيساوي ال negative + +244 +00:16:42,590 --> 00:16:45,130 +.. خدي ال average .. Zero .. Zero .. Zero .. Zero + +245 +00:16:45,130 --> 00:16:46,870 +.. Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +246 +00:16:46,870 --> 00:16:46,970 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +247 +00:16:46,970 --> 00:16:46,990 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +248 +00:16:46,990 --> 00:16:48,490 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +249 +00:16:48,490 --> 00:16:48,910 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +250 +00:16:48,910 --> 00:16:49,150 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +251 +00:16:49,150 --> 00:16:49,190 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +252 +00:16:49,190 --> 00:16:49,270 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +253 +00:16:49,270 --> 00:16:49,350 +Zero .. Zero .. Zero .. Zero .. Zero .. Zero .. + +254 +00:16:49,350 --> 00:16:56,370 +Zero .. + +255 +00:16:56,370 --> 00:17:01,970 +Zero .. Zero ..بتطلع negative وهنا positive مع + +256 +00:17:01,970 --> 00:17:06,150 +negative وهي negative تبعي وهنا برجع negative مع + +257 +00:17:06,150 --> 00:17:11,990 +negative positive وهكذا فبتلاقي هذه هي موجودة و + +258 +00:17:11,990 --> 00:17:16,750 +بتطلع ال power zero طب لو جمعتهم كلهم بطلع التنين + +259 +00:17:16,750 --> 00:17:20,970 +مش مع بعض بس تزاوية مش تسعين درجة متفقنا لأ لما + +260 +00:17:20,970 --> 00:17:25,650 +تكون R وL وC بتكون هذه five مش تسعين تلاتي ستين + +261 +00:17:25,650 --> 00:17:29,870 +اربعين مش عارفهابقى تكون الرسمة بيقول الرسمة في + +262 +00:17:29,870 --> 00:17:33,290 +هذه الحالة بتكون هيك حاجة هذا و هذا مش 90 درجة + +263 +00:17:33,290 --> 00:17:37,790 +بيكون مرات positive و مرات negative لكن ايش بيكون + +264 +00:17:37,790 --> 00:17:40,530 +ال positive اكتر من ال negative بيسوهوش بالظبط تفه + +265 +00:17:40,530 --> 00:17:43,110 +انت ال negative شغلة صغيرة و هنا ال negative شغلة + +266 +00:17:43,110 --> 00:17:46,510 +صغيرة هذه لما ايش لما تكون عندك ال R و ال L و ال C + +267 +00:17:46,510 --> 00:17:51,650 +مع بعضكلهم مع بعض يعني طبعا انا كلهم مع بعض حتى لو + +268 +00:17:51,650 --> 00:17:54,670 +واحد منهم فقد بقى دي اعتبرهم كلهم مع بعض بالتالي + +269 +00:17:54,670 --> 00:17:59,750 +لكن ال average ماهواش فيه لو كان هذا zero بروح منه + +270 +00:17:59,750 --> 00:18:04,210 +هادي و كأنها هي قصان الفاي اللي بتضايق السالب اللي + +271 +00:18:04,210 --> 00:18:10,360 +موجود قصان الفاي بتضايقه في هذه الشغلة تمامطبعا + +272 +00:18:10,360 --> 00:18:14,500 +احنا ال power اللي استخدمناها بس هحطها و نكمل + +273 +00:18:14,500 --> 00:18:18,480 +شغلنا و يأكد الكلام اللي احنا بنحكيه انه لا ال + +274 +00:18:18,480 --> 00:18:22,880 +capacitor ولا ال inductor بيعمل consuming لل power + +275 +00:18:22,880 --> 00:18:29,340 +احنا بقولنا ال power average بتساوي I maximum + +276 +00:18:29,340 --> 00:18:31,060 +sorry I RMS + +277 +00:18:36,220 --> 00:18:42,900 +وهي قيمة طلعناها جالي المنطق انه لما كنت عندي + +278 +00:18:42,900 --> 00:18:51,000 +دائرة زي هيك في كنة و هيك و هيك و ان هذه I في + +279 +00:18:51,000 --> 00:18:56,010 +إبسلون معناته هنا I تربع في الارهنا بيكون فيه + +280 +00:18:56,010 --> 00:18:58,510 +power وهنا بيكون فيه power اقول ال power هذه وهذه + +281 +00:18:58,510 --> 00:19:03,390 +وهذه ساوة هذه صحيح ولا لأ؟ هذا في ال DC circuit في + +282 +00:19:03,390 --> 00:19:06,730 +ال EC circuit نفس القضية المفروض هذه ال power اللي + +283 +00:19:06,730 --> 00:19:12,230 +انت طلعت ليها وانت في عندك R وC وL بتجيب ال power + +284 +00:19:12,230 --> 00:19:14,150 +اللي هان و ال power اللي هان و ال power اللي هان + +285 +00:19:14,150 --> 00:19:19,330 +إذا هذه ساوة بس هذه ماتهدولش فيهم Zero power صح + +286 +00:19:19,330 --> 00:19:24,930 +ولا لأ؟ هجت هذه فيهااشتقها وشوف ما بتطلع معاك بدي + +287 +00:19:24,930 --> 00:19:29,510 +اثبت الان انها بتساوي بس I تربيع في ال R بأكد ان + +288 +00:19:29,510 --> 00:19:33,870 +كل ال بيورمين راحت بس في المقاومة لأ كمستر فاية + +289 +00:19:33,870 --> 00:19:37,790 +استهلاك طاقة ولا ال inductor استهلاك طاقة جالي + +290 +00:19:37,790 --> 00:19:44,410 +قصان الفاي زمان لما يعملتي المثلف هذا قولت هدي V + +291 +00:19:44,410 --> 00:19:51,810 +مكسما هدي VR و هدي VL ناقص VC ذاكرينه؟هذه الزاوية + +292 +00:19:51,810 --> 00:19:56,190 +فاى وقنية متان الفاى بتساوي هذه على هذه الان بدي + +293 +00:19:56,190 --> 00:20:00,310 +ال cosine الفاى مش هذه على هذه تمام بقول ال cosine + +294 +00:20:00,310 --> 00:20:02,930 +الفاى بتساوي VR على دي maximum طبعا احنا ممكن + +295 +00:20:02,930 --> 00:20:06,610 +نكتبهم كتالة هذه ممكن يجي محلها Z لان هذه بتساوي I + +296 +00:20:06,610 --> 00:20:15,270 +في Zو هذه بتساوي I عام المشترك XL-XC وهذه بتساوي I + +297 +00:20:15,270 --> 00:20:22,850 +في ال R فممكن تجيب I و I و I و تحط في المثلث ZRXL + +298 +00:20:22,850 --> 00:20:26,110 +-XC وبالتالي Z بتساوي هذه التربيهة زاد هذه + +299 +00:20:26,110 --> 00:20:31,250 +التربيهةبالظبط هي من هنا جت فى ان هذا المتلقى + +300 +00:20:31,250 --> 00:20:36,290 +المهم cos فى بس نذكره انه بتساوي مجاور عاطر مجاور + +301 +00:20:36,290 --> 00:20:41,190 +عبقر عطر ال VR قانونها بتساوي I maximum فى ال R ال + +302 +00:20:41,190 --> 00:20:44,190 +VR بتساوي I maximum فى ال R قال يلا عوّد مثل cos + +303 +00:20:44,190 --> 00:20:48,990 +فى هنا بتحط حجة cos فى طلعت لما اتعودتها طلعت + +304 +00:20:48,990 --> 00:20:57,680 +خليني انا اعملها بدل هادي احط I ارمزوهي V RMS بعد + +305 +00:20:57,680 --> 00:21:02,340 +الـ cos 5 بدي أحط I maximum في ال R على V maximum + +306 +00:21:02,340 --> 00:21:07,360 +هجت ال I maximum و V maximum من وين بجيبها؟ ال I + +307 +00:21:07,360 --> 00:21:13,920 +maximum هذه بتساوي جزء التمين I RMSحسنًا هذي بيسوي + +308 +00:21:13,920 --> 00:21:19,820 +جزء 2 V أرمس جزء 2 مع جزء 2 راحت V أرمس مع V أرمس + +309 +00:21:19,820 --> 00:21:23,860 +راحت أي أرمس و أي أرمس دربيع في R إذا إيش معناته + +310 +00:21:23,860 --> 00:21:29,290 +هنا بيقول ال B average تحت ال source دور عليهاكلها + +311 +00:21:29,290 --> 00:21:33,330 +استهلكتها المقاومة، كلها استهلكت في المقاومة، هذا + +312 +00:21:33,330 --> 00:21:37,090 +بيأكد أن لا هنا في استهلاك طاقة ولا هنا في استهلاك + +313 +00:21:37,090 --> 00:21:41,510 +طاقة، الكلام اللي توحكناه والرسمات بتأكد هذا + +314 +00:21:41,510 --> 00:21:46,820 +الكلامإذا اللي أنا المعلومة اللي بدي إياها في + +315 +00:21:46,820 --> 00:21:51,080 +الآخر بيقول لي the power is completely dissipated + +316 +00:21:51,080 --> 00:21:56,860 +كلها استخلكات through the resistor i.e. no energy + +317 +00:21:56,860 --> 00:22:03,540 +dissipation in a capacitor or an inductorطبعا انه + +318 +00:22:03,540 --> 00:22:10,960 +في ال C و في ال L عشان الفيار متردد الطاقة تروح + +319 +00:22:10,960 --> 00:22:14,840 +الكباسة تربعها و ترجحها تروح عليها و ترجحها عشان + +320 +00:22:14,840 --> 00:22:18,880 +بيشحن و بيفقد في نفس القضية وبالتالي الشغل المنطقي + +321 +00:22:18,880 --> 00:22:23,660 +انه مايكونش فيه بوار اطلاقا هذا مثال طبعا هذه + +322 +00:22:23,660 --> 00:22:27,670 +مقدمة ال section هذا و اللي وراهمقدمة لمواضيع كتير + +323 +00:22:27,670 --> 00:22:32,350 +واسعة خصوصا في الهندسة الكهربية بتلاقي كتب كاملة + +324 +00:22:32,350 --> 00:22:36,510 +على البور وعلى الشغلات اللي زي هذه وفي courses + +325 +00:22:36,510 --> 00:22:43,190 +اسمهم circuits و ال machines المكن تتعاملوا مع + +326 +00:22:43,190 --> 00:22:46,770 +البور فبالتالي هذه موضوع صغير مقدمة + +327 +00:22:48,760 --> 00:22:51,860 +لموضوع عبارة عن عدد شباتر وعبارة عن عنوان course + +328 +00:22:51,860 --> 00:22:57,100 +كامل موجود في قسم الهندسة الكهربية كيف تتعامل مع + +329 +00:22:57,100 --> 00:23:00,140 +البوار و ال generators و الشغلات اللي زي هذه و جثة + +330 +00:23:00,140 --> 00:23:02,740 +البوار ال apparent و ال real و ال imaginary و في + +331 +00:23:02,740 --> 00:23:06,200 +جثات كبيرة احنا لما ندخل في تفاصيلها كلها ان انت + +332 +00:23:06,200 --> 00:23:08,660 +لو حاطيتها على ال net شغلات زي هيك هتلاقي شغلات + +333 +00:23:08,660 --> 00:23:12,360 +ممرضتش عليك لإن في معادلات ليها معقدة كيف تجيب ال + +334 +00:23:12,360 --> 00:23:14,800 +imaginary part و ال real part و كيف تحل المعادلة + +335 +00:23:14,800 --> 00:23:18,420 +اللي فيها sin و cos و sin تربيةقضية طويلة احنا + +336 +00:23:18,420 --> 00:23:22,660 +بهمنا في الآخر يعني خلّيني اقول قشور الموضوع عشان + +337 +00:23:22,660 --> 00:23:25,920 +كده هتلاقي ال example شغبة بسيطة جدا المعلومة اللي + +338 +00:23:25,920 --> 00:23:31,360 +انا عندى انه في عندى power factor ال power تبع ال + +339 +00:23:31,360 --> 00:23:35,560 +source عبارة عن ال IRMS VRMS و بقفش بحط جنب كسن + +340 +00:23:35,560 --> 00:23:39,650 +الفايهذه الطاقة وانفق ذات كاملة في المقاومة لو + +341 +00:23:39,650 --> 00:23:42,550 +قاللي اودر كل الطاقة بقوله اي ارمس تربيع في الارض + +342 +00:23:42,550 --> 00:23:47,170 +زي هذا المثال بقولي ان ا سيريز RLC circuit we have + +343 +00:23:47,170 --> 00:23:50,630 +ال V maximum اللي اعطاكيه 150 volt طبعا ال V + +344 +00:23:50,630 --> 00:23:54,830 +maximum لو بده ال V ارمس بتجيبه صحيح ولا لأ تمام R + +345 +00:23:54,830 --> 00:24:02,580 +وC وL معطىومجة مُعطَى What is the power delivered + +346 +00:24:02,580 --> 00:24:05,340 +to the circuit؟ بيقول يقدّش ال power اللي أنا + +347 +00:24:05,340 --> 00:24:08,420 +جايبها من ال source أنا بدل ما أقول cos φ و أغلب + +348 +00:24:08,420 --> 00:24:10,940 +حالي بقول ال power تبعت ال source هي نفس ال power + +349 +00:24:10,940 --> 00:24:14,900 +تبعت المقامة ولا لأ؟ما هي فيش غيرها ماحنا متفقين + +350 +00:24:14,900 --> 00:24:18,720 +اذا معناته ال power لو جبتها بدل ما اقول I رمز V + +351 +00:24:18,720 --> 00:24:23,380 +رمز كصين الفاى ممكن اقول I رمز تربيع في الار خلاص + +352 +00:24:23,380 --> 00:24:26,580 +ولا بدي كصين الفاى ولا بدي حاجة طب هذه من اين + +353 +00:24:26,580 --> 00:24:33,770 +اجيبها بقول هذه عبارة عن V RMS على Zعلى Z لأن هذه + +354 +00:24:33,770 --> 00:24:37,190 +دائرة كاملة شايفينش فيها فيها R و L و C وبالتالي + +355 +00:24:37,190 --> 00:24:41,130 +بدي أنا المقاومة الكلية مش واحد ينسى يقول هدول + +356 +00:24:41,130 --> 00:24:45,470 +متواصلة على التوالي معناته R زاد XL زاد XC هذا + +357 +00:24:45,470 --> 00:24:48,830 +كلام مافيش منه لأن أنا بجمع جماعة عادي ماحياتي Z + +358 +00:24:48,830 --> 00:24:54,850 +سميتها تمام Z بقدر أجيبهابقانونها V على max مديني + +359 +00:24:54,850 --> 00:24:59,530 +V maximum مقدر اجيبها و ال R موطن خلص السؤال تمام + +360 +00:24:59,530 --> 00:25:03,930 +هو طبعا هذا مثال الأرقام هذه السابقة فهو بيقول هنا + +361 +00:25:03,930 --> 00:25:08,490 +from the previous example في example سابق يعطيني + +362 +00:25:08,490 --> 00:25:12,670 +نفس القيمة مطلعة قيمة Z بيقول Z بتساوي هذا هي 518 + +363 +00:25:12,670 --> 00:25:16,290 +طبعا هذه Z شبه الكلمة مرة نذكرها Z بتساوي square + +364 +00:25:16,290 --> 00:25:25,290 +root of R square plus XL نقص XCكاربيا هادي XLبساوة + +365 +00:25:25,290 --> 00:25:29,790 +Omega في L وهذه بساوة واحد على Omega في C عشان + +366 +00:25:29,790 --> 00:25:34,150 +نظرنا نذاكرينهم بالتالي Omega بعطية L بعطية طلعت + +367 +00:25:34,150 --> 00:25:39,430 +XL C معطية و Omega بعطية طلعت XC وR بعطية بعمل + +368 +00:25:39,430 --> 00:25:43,150 +كالكوليتر تطلع Z Z طلعت عندي 518 Ohm أول ما طلع + +369 +00:25:43,150 --> 00:25:48,790 +518 Ohm بقول I على M S بساوة V maximum عاجزة 2 في + +370 +00:25:48,790 --> 00:25:54,530 +Z لأن عشان هذه V maximum عاجزة 2 هي V على M Sفهي + +371 +00:25:54,530 --> 00:25:58,390 +طلعت ال I RMS خلاص خلص السؤال بقول على طول B + +372 +00:25:58,390 --> 00:26:02,650 +average بتثوي ال I RMS تربيع في ال R وطلاقها بتثوي + +373 +00:26:02,650 --> 00:26:09,230 +18.1 watt طبعا لو حطيت I RMS في V RMS بتطلع اكتر + +374 +00:26:09,230 --> 00:26:12,410 +من 18.1 watt و هناك بيسموها شوية بيسميها volt + +375 +00:26:12,410 --> 00:26:16,710 +ampere اللي هي ال RMS في ال V RMS تمام مش مشكلة + +376 +00:26:16,710 --> 00:26:22,770 +هذا الموضوع تبع ال powerأخر موضوع هو الـ Resonance + +377 +00:26:22,770 --> 00:26:25,990 +برضه موضوع احنا مابدناش نخش في تفاصيله لإنه برضه + +378 +00:26:25,990 --> 00:26:31,090 +بعتمد على شغلات كتيرة أو مقدمة لمواضيع كتيرة في ال + +379 +00:26:31,090 --> 00:26:34,650 +antennas و ال receiving و الشغلات اللي زيها دي لكن + +380 +00:26:34,650 --> 00:26:38,790 +احنا في النهاية ال resonance أخدنا بدنا نحكي عنه + +381 +00:26:38,790 --> 00:26:41,470 +كلمتين it is known that بيقول ال P average تو انت + +382 +00:26:41,470 --> 00:26:46,630 +اشتقته عبارة عن I أرمز تربيع في ال R هي ال I أرمز + +383 +00:26:46,630 --> 00:26:50,730 +تربيع بيسوي V أرمز تربيع على ال Z تربيع + +384 +00:26:53,050 --> 00:26:57,390 +مظبوط؟ لأن أنا برجّأ تمام ال Z هي هربحها اهدافيا + +385 +00:26:57,390 --> 00:27:01,010 +بتساوي هذه الصيرة تمام بقولي بس عشان نشتغلها صح + +386 +00:27:01,010 --> 00:27:04,170 +الاصل ان هذه بتكون maximum لما المقام يكون minimum + +387 +00:27:04,170 --> 00:27:07,470 +وعلى طول بتطيّن ان المقام minimum اذا هذه تهيأ + +388 +00:27:07,470 --> 00:27:11,250 +مروحصح ولا لأ؟ وهذا ال film ممكن يبروح أن هذه يسوي + +389 +00:27:11,250 --> 00:27:15,690 +هذا وهذا بيسوي هذا عندي ال resonance XL بيسوي ال + +390 +00:27:15,690 --> 00:27:20,250 +XC عندي ال resonance بيقول لي XL نقص XC هذه Omega + +391 +00:27:20,250 --> 00:27:25,310 +L وهذه واحدة على Omega C انت عارفها اشتغلها جبري + +392 +00:27:25,310 --> 00:27:30,150 +خد ال L تربيع Omega تربيع أو من هنا ال Omega خدها + +393 +00:27:30,150 --> 00:27:34,030 +عالم المشترك واشتغلها تطلع بهذه الصيغة بس في عادة + +394 +00:27:34,030 --> 00:27:40,000 +سياغة فكتبناها بصيغة هذه قاللي هذا هوهذا بيأكد أن + +395 +00:27:40,000 --> 00:27:44,600 +هذه هي omega not تربيع واحد على هذه فطلعت هذه + +396 +00:27:44,600 --> 00:27:48,220 +المعادلة بهذه الصيغة جالها جت له omega بس هو omega + +397 +00:27:48,220 --> 00:27:52,000 +not هتروح نفس الكلام معناته هذه ب average صارت + +398 +00:27:52,000 --> 00:27:57,040 +maximum صارت maximum ايه جالي ارسم ب average جالية + +399 +00:27:57,040 --> 00:28:01,450 +ال omega لو طلعت كده ده ارسمهاfrom the last + +400 +00:28:01,450 --> 00:28:03,490 +equation it is clear that the average power is + +401 +00:28:03,490 --> 00:28:07,330 +maximum when omega equal omega not يعني at + +402 +00:28:07,330 --> 00:28:11,150 +resonance صار في resonance at resonance the + +403 +00:28:11,150 --> 00:28:14,810 +average power is given by هذه روحات هذه بتروح مع + +404 +00:28:14,810 --> 00:28:19,050 +هذه و هذه بتروح مع هذه بيصير فيه تربيع على R مش + +405 +00:28:19,050 --> 00:28:22,490 +قضية برضه هذه صيغة بدلاش نحفظها بيقولوا يا مالدين + +406 +00:28:22,490 --> 00:28:28,760 +اليوم نرسمها بترسم هيك هاي ال powerهذا العرض تبع + +407 +00:28:28,760 --> 00:28:34,920 +الـ Cave هو دلالة على جودة ال circuit كل ما هذه + +408 +00:28:34,920 --> 00:28:39,420 +باقت كل ما كانت ال circuit جودة جدًا وبالتالي صار + +409 +00:28:39,420 --> 00:28:43,360 +في عندهم شغل القياس معدلي الجودة ليش؟ بقولك أنت في + +410 +00:28:43,360 --> 00:28:47,960 +النهاية بدك موجة بدي موجة إذا ها أنت بدك هذه وسمعت + +411 +00:28:47,960 --> 00:28:52,380 +هذه وسمعت هذهتمام؟ تسمحهم كلهم يصيبوا يشاوشوا لكن + +412 +00:28:52,380 --> 00:28:56,440 +هاذك هاذك اللي هاروحها تسمحها طبعا ال digital + +413 +00:28:56,440 --> 00:29:02,080 +الشارب T شارب في ال digital زي ما تاول كنا نحكي + +414 +00:29:02,080 --> 00:29:04,760 +احنا زمان مش على أيامكم على أيامنا كان في عندنا + +415 +00:29:04,760 --> 00:29:09,400 +محطات يمكن شبه انقرضتي لأ كنا نسمع منتقاله كنا + +416 +00:29:09,400 --> 00:29:14,160 +نسمع ال BBC و نسمع صوت العرب وهذه المحطات ماعش + +417 +00:29:14,160 --> 00:29:19,610 +منتقاله تسمعوا فيها ولا لأكانت إذاعة منتقله مشهورة + +418 +00:29:19,610 --> 00:29:23,990 +كتير وانشهرت أكتر حاجة في الحرب الإسرائيلية على + +419 +00:29:23,990 --> 00:29:28,090 +بيروت في التامينات المصري اللي احتلت ووصلت بيروت + +420 +00:29:28,090 --> 00:29:33,470 +فيناك وطبعا دي الأخر جلت في جنوب لبنان مدة طويلة + +421 +00:29:33,470 --> 00:29:38,790 +من كذا سنة بس انسحبت لكن أول ما اشتذت لبنان ووصلت + +422 +00:29:38,790 --> 00:29:41,790 +بيروت وطلعت الفلسطينيين ويا ما راحوا على تونس + +423 +00:29:41,790 --> 00:29:46,750 +فكانت انشرت منتقله كتير لأنه كانت أغلب أخبارهاالـ + +424 +00:29:46,750 --> 00:29:49,530 +pro palestinians يعني أخبارها كتير متأيدة + +425 +00:29:49,530 --> 00:29:52,710 +للفلسطينيين فو أنت ماشي فيها على شوارع غزة يمكن + +426 +00:29:52,710 --> 00:29:55,610 +تسعين فالمية من الناس فاتحين الراديو على منتقله بس + +427 +00:29:55,610 --> 00:29:58,710 +وكانت أنت أخبار تقريبا كل ساعة أو كل نص ساعة + +428 +00:29:58,710 --> 00:30:03,030 +أحيانا فكانت كتير محطة شهيرة منتقلة وولاية في + +429 +00:30:03,030 --> 00:30:07,370 +فرنسا أو أمارة في فرنسا عندها استقلال شبيه ذاتي + +430 +00:30:07,370 --> 00:30:13,320 +عندهم اظن حكمفدرالي بينهم وبين فرنسا فكانت يعني + +431 +00:30:13,320 --> 00:30:16,100 +محطة عربيه بس كانت تبث من هناك يعني عربي اللي + +432 +00:30:16,100 --> 00:30:18,640 +بيحكوا يعني بالعربي مش بالفرنسي فكانت مشهورة جدا + +433 +00:30:18,640 --> 00:30:23,100 +فالواحد كان هذه المحطة كانت كتير واضحة و تبث و و + +434 +00:30:23,100 --> 00:30:28,220 +الراديوهات كانت كتير تنحط عليها وانهم هذا بجيس + +435 +00:30:28,220 --> 00:30:31,580 +الجودة يعني مش معنين فيها the sharpness of the + +436 +00:30:31,580 --> 00:30:35,160 +curveis measured by a factor known as the quality + +437 +00:30:35,160 --> 00:30:38,820 +factor Q بيسموها Q بيسموها Omega Note على Delta + +438 +00:30:38,820 --> 00:30:43,160 +Omega هذا كل هذه مجلة كل ما هذه إيش صار فيها زادت + +439 +00:30:43,160 --> 00:30:48,020 +فكل ما العرض تبح قل نقول عن في عندي معامل جودة + +440 +00:30:48,020 --> 00:30:51,060 +عالي جداهذا المعامل الجودال احنا عملنا دعوة فيه + +441 +00:30:51,060 --> 00:30:55,300 +برضه وشغلات هندسية وشغلات تقانية الشيء هذه بقى سهل + +442 +00:30:55,300 --> 00:30:59,060 +الماكسيما نجيبه من النص هذا الماكسيما من النص جيس + +443 +00:30:59,060 --> 00:31:02,560 +العرض هذا هو delta omega طبعا هذه مالواش وحدات + +444 +00:31:02,560 --> 00:31:05,440 +شباب لان هذه frequency وهذه frequency وبالتالي + +445 +00:31:05,440 --> 00:31:08,980 +مالواش وحدات بس هذه مجرد ال quality factor عشان + +446 +00:31:08,980 --> 00:31:13,040 +فيه ملوى مرت عليكم بعد كده تكون له أصل في الكتب + +447 +00:31:14,300 --> 00:31:17,340 +بذاته omega is the width of the resonant power + +448 +00:31:17,340 --> 00:31:21,140 +curve at half maximum and given by برضه هذا ممكن + +449 +00:31:21,140 --> 00:31:26,060 +نشتقه من رياضيات مش مطالبين باشتقاقه وهذه قيمته + +450 +00:31:26,060 --> 00:31:29,440 +برضه مش مطالبين فيها القيمة تبعتها يعني احنا قعدنا + +451 +00:31:29,440 --> 00:31:31,820 +نشوف ايش المطالبين فيه في ال resonance لأن ال + +452 +00:31:31,820 --> 00:31:35,500 +resonance مر علينا عدة مرات فلازم احنا ندي الخلاصة + +453 +00:31:35,500 --> 00:31:40,300 +تبعته هاي ال example شوف ايش المطلوب فقط نقول in a + +454 +00:31:40,300 --> 00:31:43,040 +series RLC circuit + +455 +00:31:51,710 --> 00:31:57,890 +ماذا إذا قيمة C للطاقة هي أكتر؟ + +456 +00:32:05,230 --> 00:32:08,770 +يعني بتكون maximum at resonance .. at resonance + +457 +00:32:08,770 --> 00:32:10,790 +يعني أميجا بتسوي أميجا نوت .. هي المعلومة اللي + +458 +00:32:10,790 --> 00:32:14,890 +بدنا إياها .. لإن لو عرفت أنا أميجا اللي هي هاجسات + +459 +00:32:14,890 --> 00:32:17,850 +أميجا نوت و أميجا نوت أنا بعرف واحد على جذر ال IFC + +460 +00:32:17,850 --> 00:32:22,870 +طلع الجواب .. فبقولي solutionThe maximum current + +461 +00:32:22,870 --> 00:32:27,130 +is attained when omega equals omega naught + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/cqn6278MXnQ_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/cqn6278MXnQ_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..770ad8dfaa8b9f0a594085e947a29ae168e6a214 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/cqn6278MXnQ_postprocess.srt @@ -0,0 +1,1992 @@ +1 +00:00:00,000 --> 00:00:02,680 +موسيقى + +2 +00:00:10,020 --> 00:00:13,440 +بسم الله الرحمن الرحيم لساكمل ما تبقى من هذا ال + +3 +00:00:13,440 --> 00:00:18,380 +charter بدأنا احنا capacitors with dielectric + +4 +00:00:18,380 --> 00:00:23,020 +واتفقنا محصلة الكلام اللى اتفقنا عليه ان وجود ال + +5 +00:00:23,020 --> 00:00:27,360 +dielectric جوا ال capacitor بزيدي السعة بمقدار + +6 +00:00:27,360 --> 00:00:31,260 +معين هذا المقدار سمته ال dielectric constants + +7 +00:00:31,260 --> 00:00:35,540 +kappa واتفقنا ان kappa تختلف من مادة لمادة لفرق + +8 +00:00:35,540 --> 00:00:43,080 +بتسوي واحد وهو اقل قيمة بعد كده كل مادةايها قيمة + +9 +00:00:43,080 --> 00:00:47,780 +معينة C بتساوي كعبة في C not C with directly و C + +10 +00:00:47,780 --> 00:00:51,460 +not without directly يعني كل حاجة not من اليوم + +11 +00:00:51,460 --> 00:00:56,020 +اللي طالع هيكون حسب الفرق و بدون ال not بتكون حسب + +12 +00:00:56,020 --> 00:01:00,630 +المادة اللي معطيةو هذه المواد اللي اتفقنا عليها كل + +13 +00:01:00,630 --> 00:01:03,430 +واحدة و هذه اصلا معطية اليك و هتواطى اليك في كل + +14 +00:01:03,430 --> 00:01:06,710 +الأسئلة موجودة في كل الكتب و موجودة في كل المواقع + +15 +00:01:06,710 --> 00:01:09,990 +الانترنت بس اكتب انت كلمة bioelectric في اي مادة + +16 +00:01:09,990 --> 00:01:13,070 +بيجيبلك قيمة ال bioelectric ما الناس محافظها ولا + +17 +00:01:13,070 --> 00:01:16,270 +حاجة لان هتواطى الينا طبعا واضح شباب ان هذا + +18 +00:01:16,270 --> 00:01:22,290 +القانون ان قابة اليها وحدات حد ما جدش وحدكهافرد + +19 +00:01:22,290 --> 00:01:27,090 +وهادي فرد افراد مافيش وحدة فكابا مالهاش وحدة عبارة + +20 +00:01:27,090 --> 00:01:30,050 +عن بلد تلهاد عشان كده انظر انتم ملاحظين هنا مافيش + +21 +00:01:30,050 --> 00:01:32,930 +وحدة هادي فورت عالمية لكن هنا مافيش اي وحدة لان + +22 +00:01:32,930 --> 00:01:37,250 +كابا is a numerical value بتعتمد على ان هو المادة + +23 +00:01:38,360 --> 00:01:42,440 +وشرحنا ايش اللي خلّى الساعة تزيد اتفقنا وجود + +24 +00:01:42,440 --> 00:01:49,060 +المادة العازلة بيخليها polarized تترتب وانتوا + +25 +00:01:49,060 --> 00:01:52,880 +ذاكرين فيه تشابه يا شباب ما بين ال polarization و + +26 +00:01:52,880 --> 00:01:56,740 +ال magnetization انه انا كيف المادة بخليها مغناطيس + +27 +00:01:56,740 --> 00:02:01,660 +بحطها في مجال مغناطيسي ولا لأ؟تتصفط في بعض المواد + +28 +00:02:01,660 --> 00:02:06,060 +لما أجيب المؤثر بترجع تتخربش وفي بعض المواد لما + +29 +00:02:06,060 --> 00:02:09,960 +أجيب المؤثر بتضرها عاجلة بتضرها مصفطة هذه المواد + +30 +00:02:09,960 --> 00:02:12,560 +اللي بتضرها مصفطة هكون تسميها ferromagnetic + +31 +00:02:12,560 --> 00:02:16,280 +materials عشان كده بتضرها معناطيس لكن المعناطيس + +32 +00:02:16,280 --> 00:02:19,620 +الكهربائي قطف الكهربا بيصير معناطيس بيبطل فيه + +33 +00:02:19,620 --> 00:02:22,840 +معناطيس اذا في بعض المواد زي هذه احنا لما عملنا + +34 +00:02:22,840 --> 00:02:28,410 +هيك شباب يومتهابدي انا هادي هجيت هادي كانت أفشة و + +35 +00:02:28,410 --> 00:02:31,550 +جيت هنا و اترتبت لو جيت هادي بعد ما اترتبت عاوز + +36 +00:02:31,550 --> 00:02:35,470 +بتطلعتها ايش بيصير فيها بتعود تتصير تتخربش تتصير + +37 +00:02:35,470 --> 00:02:39,130 +تتبقى polarized إذا ان هي polarized بفعل مؤثر + +38 +00:02:39,130 --> 00:02:42,630 +خارجي و هو المجال الكهربائي جيه من المؤثر الخارجي + +39 +00:02:42,630 --> 00:02:46,330 +بيرجعوا يتقاتلوا ال people جوا كل واحد بيروح على + +40 +00:02:46,330 --> 00:02:52,050 +كيفه لكن بيكونوا مصفطين و مادبين بتأثيرقوة خارجية + +41 +00:02:52,050 --> 00:02:55,830 +تمام في ال magnetization لأ في بعض المواد حتى game + +42 +00:02:55,830 --> 00:02:59,590 +المؤثر الخارجي بتظهر ممرتبين وهي بيصير ساعتها + +43 +00:02:59,590 --> 00:03:02,850 +permanent magnet بيصير مغناطيس دائم اللي هي ال + +44 +00:03:02,850 --> 00:03:05,670 +pheromagnetic materials بعض المواد زي الحديد كلكم + +45 +00:03:05,670 --> 00:03:08,930 +عارفينها فبالتالي في تشابه ما بين ال polarization + +46 +00:03:08,930 --> 00:03:12,930 +و ال magnetization polarization إلها دعوة في + +47 +00:03:12,930 --> 00:03:16,620 +الكهربا و magnetization إلها دعوة في المجالمهم + +48 +00:03:16,620 --> 00:03:20,960 +اتفقنا ان هذا التصفير خلّى في عندى مجال كهربائي + +49 +00:03:20,960 --> 00:03:25,140 +يتولد جوا المادة معاكس للمجال الأصلي وبالتالي عمل + +50 +00:03:25,140 --> 00:03:28,680 +reduction in the electric field and so reduction + +51 +00:03:28,680 --> 00:03:32,360 +in the voltage between the capacitors from the + +52 +00:03:32,360 --> 00:03:36,300 +reduction of the voltage C is increased تمام + +53 +00:03:36,300 --> 00:03:41,900 +واتفقنا عليهاوصار في عندى ال total E is reduced + +54 +00:03:41,900 --> 00:03:47,080 +ومنها ال total V is reduced بط سي بيساوي Q على V + +55 +00:03:47,080 --> 00:03:51,380 +لما هدى تخس او تنقص هدى ايش بيصير فيها بالزيد وهدى + +56 +00:03:51,380 --> 00:03:54,300 +اللى حاكناه احنا اللى بدناه يعنى التفسير هدى كيف + +57 +00:03:54,300 --> 00:03:59,520 +صارك مش مطلبين بتفسيره احنابس في النهاية لازم انا + +58 +00:03:59,520 --> 00:04:02,560 +اعرف ايش اللي خلص ساعات زيد فايش اللي خلص ساعات + +59 +00:04:02,560 --> 00:04:07,740 +زيد انه E زاد .. خدست E reduced ما زال E reduced + +60 +00:04:07,740 --> 00:04:12,720 +اذا V reduced و بما انه في عرق عكسية V reduced اذا + +61 +00:04:12,720 --> 00:04:18,960 +C increased تمام اتفقنا عليها و هذا حكينا عنه الآن + +62 +00:04:18,960 --> 00:04:23,620 +شوفنا مثال طبعا ايش بيقولبقول a parallel plate + +63 +00:04:23,620 --> 00:04:27,500 +capacitor is charged by a battery of potential + +64 +00:04:27,500 --> 00:04:32,200 +difference V0 انا شحنتها ببطارية لما تنقلي جهدها + +65 +00:04:32,200 --> 00:04:37,380 +ايش بيساوي جهد البطارية لو ساعتها معروفة بقدر اجيب + +66 +00:04:37,380 --> 00:04:40,960 +الشحنات اللي عليها ولا لأ الشحنات بيساوي ساعتها في + +67 +00:04:40,960 --> 00:04:47,520 +فرق الجهد C0 في V0 بيقوللي هي المكثفتمام شبكته + +68 +00:04:47,520 --> 00:04:51,800 +بالبطارية بعد كده ايش بيقوللي ال battery is then + +69 +00:04:51,800 --> 00:04:56,200 +removed بتطير البطارية و انا عملت تماثل بين + +70 +00:04:56,200 --> 00:05:01,380 +البطارية و المصورة المصورة بتنزل ميه في إيناق + +71 +00:05:01,380 --> 00:05:07,000 +البطارية بتدخش ميه، بتدخش شحنات صح ولا لا؟ لكن انا + +72 +00:05:07,000 --> 00:05:12,500 +لو سكرت المصورة و غيرت الإيناق بدل ما هو صغير كبير + +73 +00:05:12,500 --> 00:05:18,610 +بتزيد الميهخططه تحت المصورة بزدش المي طب انا الان + +74 +00:05:18,610 --> 00:05:22,490 +البطارية بدي ارميها فين كان يزيدي شحنات بعد كده + +75 +00:05:22,490 --> 00:05:25,430 +زود الساعة ولا تخصص الساعة وليه ما يتعمل في ال + +76 +00:05:25,430 --> 00:05:30,250 +capacitor من أين تيجي الشحنات؟إذا البطارية راحت و + +77 +00:05:30,250 --> 00:05:34,610 +كأني سكرت ميّة الشحنات جمت مصدر الشحنات بيقولي the + +78 +00:05:34,610 --> 00:05:38,690 +battery is then removed رميتها and a dielectric + +79 +00:05:38,690 --> 00:05:43,210 +slab of dielectric constant kappa is inserted + +80 +00:05:43,210 --> 00:05:46,190 +between the blades of the capacitor I shown بعد ما + +81 +00:05:46,190 --> 00:05:51,940 +جمت البطاريةبتجيب مواقع البرنامج الوطنية و تنزلها + +82 +00:05:51,940 --> 00:05:57,480 +و تضعها فيها .. ايش صار في السيعة؟ زادت؟ ايش صار + +83 +00:05:57,480 --> 00:06:02,220 +في الشحنة؟ ممنوعات زيد؟ من وين بتيجي؟ احنا قولنا + +84 +00:06:02,220 --> 00:06:05,120 +زمان ان الـ charge is conserved ولا لا؟ فى إمكانية + +85 +00:06:05,120 --> 00:06:09,680 +تولدش الـ charge لحالها؟ لأ فى مصدر الشحنة إذا كان + +86 +00:06:09,680 --> 00:06:13,020 +فيه بطارية موجودة بتزيد الشحنات لان زادت السيعة صح + +87 +00:06:13,020 --> 00:06:16,510 +ولا لا؟لو البطارية بقى اللي موجودة و انا غيرت + +88 +00:06:16,510 --> 00:06:20,610 +القناة انا اكبر بزيدي المي المي موجودة لكن انا + +89 +00:06:20,610 --> 00:06:24,930 +سكرت مصدر الشحنات اللي هي البطارية رميتها الشحنات + +90 +00:06:24,930 --> 00:06:29,310 +الممنوعة ازيد السعة هتزيد لإن في الداي الهيكليك + +91 +00:06:29,310 --> 00:06:31,830 +ماتيريال is inserted between the blades of the + +92 +00:06:31,830 --> 00:06:34,390 +capacitor بيقول find the energy stored in the + +93 +00:06:34,390 --> 00:06:36,590 +capacitor before and after the slab is inserted + +94 +00:06:44,510 --> 00:06:54,990 +خلاص راحت البطارية هدول الشحنات + +95 +00:06:54,990 --> 00:06:58,830 +متغيروش + +96 +00:07:02,010 --> 00:07:06,170 +ممنوع تغيّر الشحنات بما ان الطاقة موجودة في + +97 +00:07:06,170 --> 00:07:12,630 +الكباسيتر قبل انشطة الـ dielectric هي U initial U + +98 +00:07:12,630 --> 00:07:13,870 +نُعطي يعني قبل ما تغيّر الشحنات + +99 +00:07:30,460 --> 00:07:39,700 +الان اذا بدأ اضاف دايلكريك انا اضاف دايلكريك انا + +100 +00:07:39,700 --> 00:07:45,810 +اضاف دايلكريكصارت U بيسوي Q Note تربيعة 2C ها مش Q + +101 +00:07:45,810 --> 00:07:49,710 +تربيعة 2C نفس الـ Q Note لإن الـ Q ماتغيرتش وهي + +102 +00:07:49,710 --> 00:07:52,530 +تلك السؤال مرات بيجي السؤال في الامتحان بيقول خلّي + +103 +00:07:52,530 --> 00:07:55,390 +البطارية زي ما هي وحط ضي إلكتريك ايش اللي بيضلوا + +104 +00:07:55,390 --> 00:08:00,760 +ثابت شباب في هذه الحالة؟فرق الجهد يبقى ثابت إذا + +105 +00:08:00,760 --> 00:08:05,340 +البطارية موجودة و V تتغير فهو مربوط في نفس + +106 +00:08:05,340 --> 00:08:05,840 +البطارية + +107 +00:08:29,030 --> 00:08:35,250 +أه مش سي بيسوي كابا في سي نوت؟ اه ده ده ايه ال Q + +108 +00:08:35,250 --> 00:08:38,190 +note جبتها من هناك وبعدين سي حطت كابا سي نوت هذه + +109 +00:08:38,190 --> 00:08:41,770 +ال Q note اللي جبتها من هناك من أول فهذه بتطلحها + +110 +00:08:41,770 --> 00:08:46,700 +طبعا بيسوي نقطة على كابا يعني يو في النهاية جلةانت + +111 +00:08:46,700 --> 00:08:49,420 +تذهب في النهاية لك .. طب وراحت حد يوم؟ انا عندى + +112 +00:08:49,420 --> 00:08:52,460 +energy كانت موجودة لاجيتها راحة .. طب انا بعرف ال + +113 +00:08:52,460 --> 00:08:55,800 +energy is conserved .. وين راحة؟ بيقولى هو ال + +114 +00:08:55,800 --> 00:08:58,240 +director اللى كنت بتنزل فيها هو ال capacitor بيبقى + +115 +00:08:58,240 --> 00:09:01,540 +داله ساكت؟ لأ .. احنا فى عندنا خاصية فى كل + +116 +00:09:01,540 --> 00:09:06,140 +المخلوقات انه دايما بقاوم التغيير ولا لأ .. فهذا + +117 +00:09:06,140 --> 00:09:09,540 +قاعد فى director اللى بدى يخش عنده يحاول يطرده .. + +118 +00:09:09,540 --> 00:09:11,980 +لما يحاول يطرده يبدأ الشغل .. هذا الشغل اللى بدأ + +119 +00:09:11,980 --> 00:09:15,580 +هو لضعف الفرق ما بين ال two energy .. تمام؟ + +120 +00:09:16,610 --> 00:09:20,910 +الاختلاف في الطاقة يمكن انه يتم تفسيره في عملية + +121 +00:09:20,910 --> 00:09:23,570 +الهواتف من خلال الكباسيتر الشغل يحاول ان يطرد الضي + +122 +00:09:23,570 --> 00:09:27,870 +إلكتريك بقوة عكس هو نازلته و يحاول ان يطلعه فوق و + +123 +00:09:27,870 --> 00:09:32,110 +إلى حسبة طبعا في المواد المتقدمة يمكنهم ان يطلعوا + +124 +00:09:32,110 --> 00:09:35,850 +ال work و يطلعوا القوة حتى اللي بدالها الكباسيتر و + +125 +00:09:35,850 --> 00:09:39,010 +نستطيع ان نحسب كم الشغل اللي بدله الكباسيتر لكن + +126 +00:09:39,010 --> 00:09:42,710 +احنا مش معنين فيها عشان بس مجرد ان واحد مايسألش + +127 +00:09:42,710 --> 00:09:45,370 +وين روحت ال energy و انا عارف من زمان ان ال energy + +128 +00:09:45,370 --> 00:09:49,100 +is concernedبنقوله ال energy راحت عبارة عن شغل + +129 +00:09:49,100 --> 00:09:53,560 +بذله الcapacitor عشان يقاوم دخول الداي electric + +130 +00:09:53,560 --> 00:09:57,340 +دائما هذه شغلة معروفة واخدتها في المغناطسية كمان + +131 +00:09:57,340 --> 00:10:00,820 +انه لما يكون في عندي حاجة بتنزل لازم يكون في حاجة + +132 +00:10:00,820 --> 00:10:07,100 +قاعدة بتطلحها تمام نشوف هنا كمان مثالإذا إضاءة + +133 +00:10:07,100 --> 00:10:10,160 +إلكتريك لما يدخل فيه الكباسيتر بيزيد سيحته هذا هي + +134 +00:10:10,160 --> 00:10:13,580 +هل جيت شحنة تتضلها أو ماتضلهاش بعتمد على البطارية + +135 +00:10:13,580 --> 00:10:16,520 +دلت موجودة ولا مش موجودة إذا البطارية دلت موجودة + +136 +00:10:16,520 --> 00:10:20,940 +بقول بيدله بيه ثابت إذا البطارية انجامك بقول كيو + +137 +00:10:20,940 --> 00:10:25,160 +بتتغيرش واضح شباب؟ هترك كذلك المثال السابق هنشوف + +138 +00:10:25,160 --> 00:10:29,100 +المثال بيقول ا parallel plate capacitor has a + +139 +00:10:29,100 --> 00:10:35,750 +plate separation D and plate area A تمامانتشارج + +140 +00:10:35,750 --> 00:10:38,930 +متاليكسلاب متاليكسلاب مش dielectric شباب + +141 +00:10:38,930 --> 00:10:43,810 +متاليكسلاب يعني كوندكتر و thickness E is inserted + +142 +00:10:43,810 --> 00:10:49,870 +midway between the blades يعني هيك الكبسطرا الأصلي + +143 +00:10:49,870 --> 00:10:53,450 +اللي هو الأحمر و الأزرق عندي two كوندكتر منهم مادة + +144 +00:10:53,450 --> 00:10:57,270 +عازلة و حطيت الصفر هذه صفرة من النحاس شباب مادة + +145 +00:10:57,270 --> 00:11:03,100 +نحاسية النحاس dielectric ولا كوندكتر كوندكترقال لي + +146 +00:11:03,100 --> 00:11:06,640 +جدّيش الساعة الكلية صارت؟ و إيش عامل هذا النحاس + +147 +00:11:06,640 --> 00:11:10,420 +جوا؟ طيب و إيش علاقته بالـ dielectric؟ عشان جاملك + +148 +00:11:10,420 --> 00:11:14,860 +بعد كده يجيب الـ dielectric بيقوللي هذا conductor + +149 +00:11:14,860 --> 00:11:19,900 +هذا conductor طب هذا capacitor و هذا capacitor و + +150 +00:11:19,900 --> 00:11:23,900 +بينهم سيك صارت عبارة عن two conductors او two + +151 +00:11:23,900 --> 00:11:30,500 +capacitors موصلين مع بعض على التوالي صح ولا لأ؟هل + +152 +00:11:30,500 --> 00:11:34,100 +جيت هذا الشباب الفجاني بقدر أقول عبارة عن هيك؟ + +153 +00:11:34,100 --> 00:11:39,260 +والتحتاني عبارة عن هيك؟ الأصفر هذا بقدر أستبدله + +154 +00:11:39,260 --> 00:11:44,100 +بسلك زي هيك؟ اه ممكن دكتور طب هذا التوصيلة شباب لو + +155 +00:11:44,100 --> 00:11:48,980 +عملت هيك وعملت هيك قولت هي C1 وهي C2 كيف المصريين؟ + +156 +00:11:48,980 --> 00:11:56,220 +توالي مش توالي عشان هم فوق بعض لأ هدول توالي طيب + +157 +00:11:56,220 --> 00:11:58,120 +طبعا الواحد يقول الموج الشحنات هدول + +158 +00:12:01,050 --> 00:12:03,930 +بالتأثير بالتأثير صح إذا هدولتوا ال conductor + +159 +00:12:03,930 --> 00:12:06,770 +الموصلين بالظبط زي التوصيل على التوالي اللي انا + +160 +00:12:06,770 --> 00:12:11,610 +قصدتكم من اياهم المرة هذيك كانوا هيك وقلت ووصلتهم + +161 +00:12:11,610 --> 00:12:15,230 +هيك فصار هذي positive نيجاتيف بعدين هذي صارت + +162 +00:12:15,230 --> 00:12:17,790 +negative positive بالتأثير هذي نفس العملية إذا + +163 +00:12:17,790 --> 00:12:21,310 +هدولتوا ال capacitors الموصلين على التوالي ولمّا + +164 +00:12:21,310 --> 00:12:24,610 +أقول على التوالي مش بقول C equivalent بتسوي C1 C2 + +165 +00:12:24,610 --> 00:12:29,410 +على C1 زي C2 طب قالتلي إيش هيجيب C1 قاللي سهلةهذا + +166 +00:12:29,410 --> 00:12:37,810 +بره الـ plate C1 بسوء E Note A على D1 و C2 بسوء E + +167 +00:12:37,810 --> 00:12:42,650 +Note A على D2 فى مشكلة ولا لأ؟ مش هذا بره ال plate + +168 +00:12:42,650 --> 00:12:49,290 +كما ستعرف هل A لهذا و A لهذا نفس الـ A؟ طلع عليها + +169 +00:12:49,290 --> 00:12:54,810 +نفس الـ A طب هل D1 و D2 هى نفسها D هذى؟ كيف بيجيب + +170 +00:12:54,810 --> 00:13:04,780 +D؟نص ال D نقص ايه؟ نص ال D نقص ايه؟ نص ال D نقص + +171 +00:13:04,780 --> 00:13:12,220 +ايه؟ نص ال D نقص ايه؟ نص ال D نقص ايه؟ نص ال D نقص + +172 +00:13:12,220 --> 00:13:22,520 +ايه؟ نص ال D نقص ايه؟ نص ال D نقص ايه؟ نص ال D نقص + +173 +00:13:22,520 --> 00:13:27,880 +ايه؟أيه يا بني من الصفر؟ حطت الصفر و حطت الحصيجي + +174 +00:13:27,880 --> 00:13:31,620 +ده بيقول show that the capacitance of the original + +175 +00:13:31,620 --> 00:13:37,160 +capacitor is unaffected by the insertion of the + +176 +00:13:37,160 --> 00:13:41,480 +metallic slab if the slab is infinitely thin لما + +177 +00:13:41,480 --> 00:13:45,100 +تكون كتير رفيعة الكباسيتر بيظلوا نفسها دي القيمة + +178 +00:13:45,100 --> 00:13:49,360 +طب كيف يدعو ده اعتبرها thin كتير؟ لما يقول الـA + +179 +00:13:49,360 --> 00:13:50,420 +goes to zero + +180 +00:13:54,550 --> 00:13:59,410 +Solution بنقول الـ metal slab الميتل الصفر هذي + +181 +00:13:59,410 --> 00:14:04,050 +Divide the capacitor into two capacitors Hence the + +182 +00:14:04,050 --> 00:14:06,910 +capacitors is equivalent to two capacitors in + +183 +00:14:06,910 --> 00:14:13,900 +seriesEach having a split separation D-A ع 2 + +184 +00:14:32,500 --> 00:14:37,000 +بذال C1 بيتساوى C2 إذا C equivalent بتساوى وصي أما + +185 +00:14:37,000 --> 00:14:39,340 +التفقين أما يكونوا اتنين أربعة وأربعة جديد C + +186 +00:14:39,340 --> 00:14:42,600 +equivalent بتصير اتنين صح ولا لأ؟ لما توكابسترز زي + +187 +00:14:42,600 --> 00:14:46,440 +بعد واتوصلوا على التوالي معناته C equivalent نص لو + +188 +00:14:46,440 --> 00:14:49,700 +واحدة ستة وستة ال equivalent جديش تلاتة تمانية + +189 +00:14:49,700 --> 00:14:52,860 +تمانية أربعة فبالتالي C1 وC2 بتساوى لأنهم نفس ال + +190 +00:14:52,860 --> 00:14:55,940 +days إذا C equivalent بتساوى وصي وعليه طلعناها هذه + +191 +00:14:55,940 --> 00:15:02,860 +قانونها طلعت طبعا واضح يا شبابC بتسوي D نقص A هنا + +192 +00:15:02,860 --> 00:15:07,700 +في اختلاف هجيت لو هادي A goes to zero ايش صح بترجح + +193 +00:15:07,700 --> 00:15:11,480 +هادي ولا لأ هاي المطلوب التاني المطلوب التاني + +194 +00:15:11,480 --> 00:15:19,180 +لحاله مبين تمام حلو letting + +195 +00:15:19,180 --> 00:15:24,900 +A goes to zero in the reverse of part A C بتسوي A + +196 +00:15:24,900 --> 00:15:28,380 +goes to zero طولها تفس القضية طب سؤالي الآن ارجع + +197 +00:15:28,380 --> 00:15:33,110 +انا لنفس الرصمةلو كانت هذه السفرة ضاي electric مش + +198 +00:15:33,110 --> 00:15:41,110 +conductor أكم كبستر قولكم بتصير تلاتة + +199 +00:15:41,110 --> 00:15:48,030 +هاي واحد و هاي اتنين و بصير هذا تالت هذا ليش مش + +200 +00:15:48,030 --> 00:15:50,390 +كبستر لما كان conductor كندركتر ممنوع يكون كبستر + +201 +00:15:50,390 --> 00:15:53,490 +لحاله لإن هو .. لكن لما كان ضاي electric بيقول + +202 +00:15:53,490 --> 00:15:58,270 +يبصي الواقع ان هو هذا وجهه و هذا وجههو بيهم مادة + +203 +00:15:58,270 --> 00:16:02,670 +عازلة لو كانت كفاسر تالت بيصيروا تلعتة لو كانت + +204 +00:16:02,670 --> 00:16:06,870 +مادة عازلة و كيف متواصلين على التواري نفس القضية + +205 +00:16:06,870 --> 00:16:14,070 +هاي مثال أبيلا فيه و وين ال polarization ذاكر لما + +206 +00:16:14,070 --> 00:16:16,410 +جيبنا في النص خلينا على أطراف بيصيروا كأنه فيه + +207 +00:16:16,410 --> 00:16:19,510 +شحنات من جابات مش من التأثير الآن من ال + +208 +00:16:19,510 --> 00:16:22,550 +polarization ال polarization بيصير في شحنات في ال + +209 +00:16:22,550 --> 00:16:27,420 +conductor بيصير من التأثير بيشوف المثالبس هذا مسهل + +210 +00:16:27,420 --> 00:16:31,180 +اكتر بيقول ان عبارة عن ال blade capacitor has a + +211 +00:16:31,180 --> 00:16:36,750 +blade separation Dand a capacitance C0 in the + +212 +00:16:36,750 --> 00:16:39,550 +absence of the dielectric بيقول بدون الخضرة سعته + +213 +00:16:39,550 --> 00:16:43,950 +C0 هذا بدون الخضرة بعد كده what is the capacitance + +214 +00:16:43,950 --> 00:16:47,530 +ايه بيحصل السعة؟ when a slab of dielectric + +215 +00:16:47,530 --> 00:16:51,830 +material of dielectric constants kappa is inserted + +216 +00:16:51,830 --> 00:16:55,590 +between the blades والthickness جالي تلتة D طبعا + +217 +00:16:55,590 --> 00:16:57,670 +انا ماحطهاش فانا سحطه في الطرف فوق ايه كام + +218 +00:16:57,670 --> 00:17:02,110 +capacitance موجود؟ هنا اتنين الخضرة واحد والفاضية + +219 +00:17:02,110 --> 00:17:07,120 +البيضة واحدإذا هدول two capastas كيف هم وصلين؟ ع + +220 +00:17:07,120 --> 00:17:11,580 +التوالي طيب كيف بده يجيبهم؟ هل مقدر أقول الأول + +221 +00:17:11,580 --> 00:17:16,720 +والتاني لهم نفس ال A؟ طلع عليهم هو شو هو ال A؟ + +222 +00:17:16,720 --> 00:17:22,940 +شباب هاي اللي هم هاي ال A نفس ال Dلأ وحد تلت دي + +223 +00:17:22,940 --> 00:17:29,360 +تاني تلت ان دي طيب بقدر اقول ان ال C1 الفجاني + +224 +00:17:29,360 --> 00:17:36,940 +بتساوي epsilon note A على D1 اللي هي تلت ال D ايش + +225 +00:17:36,940 --> 00:17:39,580 +فيه خلال ان هذه ممنوعة تكون epsilon note صراحة + +226 +00:17:39,580 --> 00:17:43,920 +بتضربها في الكعبة لإن هذه epsilon note ايش بتمثل + +227 +00:17:43,920 --> 00:17:47,920 +التطبخنا طب هنا فيه هوا؟ لأ الخط رازنزنيش من المخط + +228 +00:17:47,920 --> 00:17:53,980 +كعبة طب التاني بقولأبسلونوت ده قعبة في أبسلونوت + +229 +00:17:53,980 --> 00:17:58,100 +هدى + +230 +00:17:58,100 --> 00:18:02,160 +بيسموها أبسلونوت قعبة في أبسلونوت هي أبسلونوت + +231 +00:18:02,160 --> 00:18:07,140 +بيحطوها تمام سيتني بيسمو أبسلونوت اي على تلتين دى + +232 +00:18:07,140 --> 00:18:13,240 +خلاص انتهى السؤالبصير هيك احنا بنقول بالزيد بمقدار + +233 +00:18:13,240 --> 00:18:16,740 +كعبة اذا انا بضربها بكعبة بس فكعبة في epsilon نوت + +234 +00:18:16,740 --> 00:18:19,480 +بيسموها epsilon و ال epsilon ها دي لحاله بيسموها + +235 +00:18:19,480 --> 00:18:23,440 +ال diuretic او ال permittivity constant of the + +236 +00:18:23,440 --> 00:18:26,600 +material هديك قلناها epsilon نوت ال permittivity + +237 +00:18:26,600 --> 00:18:30,060 +of free space epsilon بيسموها permittivity of the + +238 +00:18:30,060 --> 00:18:33,920 +material اي كانت ال material the capacitor is + +239 +00:18:33,920 --> 00:18:38,800 +equivalent to two capacitors in seriesEach with + +240 +00:18:38,800 --> 00:18:42,400 +تلعب سي نوت او سي واحد اش عاملة في وجهني كعبة في + +241 +00:18:42,400 --> 00:18:45,520 +ابسلون نوت علشان انا حاطينا الكعبة يا شباب عشان في + +242 +00:18:45,520 --> 00:18:49,200 +ضاء إلكتريك لو في فراغ مايجيش الكعبة للفراغ ترجع + +243 +00:18:49,200 --> 00:18:53,400 +ابسلون نوت طبعا ايه على طول تديه؟ طب و التانية + +244 +00:18:53,400 --> 00:18:58,920 +ابسلون نوت مش كعبة لإن التانية جيبها تحت بواب فراغ + +245 +00:18:59,830 --> 00:19:04,930 +تلتين دى خلاص بقت كده بقول C equivalent واحد على C + +246 +00:19:04,930 --> 00:19:08,090 +بيصيح واحد على C اتنين بطلحها بديب C equivalent + +247 +00:19:08,090 --> 00:19:15,030 +حلو تمام طبعا شباب وقتش بيكون في تواصل على التوازن + +248 +00:19:15,030 --> 00:19:17,970 +مرات في وقت سواء في الكتاب عاملكم الرسمة بهذا + +249 +00:19:17,970 --> 00:19:22,790 +الشكل شباب جاي الهيكة بسطر لها جيبت بقى الهيكة + +250 +00:19:22,790 --> 00:19:26,330 +وانا كيف حاطيته حاطيته هيك المنطقة خدت هيكة عملتها + +251 +00:19:30,410 --> 00:19:35,370 +ملا؟ ماملاهوش جزء طب هدولة كانوا كبستر صاروا؟ برضه + +252 +00:19:35,370 --> 00:19:40,490 +اتنين هاي واحد هذا الأخضر وهذا التاني طيب على + +253 +00:19:40,490 --> 00:19:43,870 +التوازي ولا على التوازي؟ على التوازي صاروا كفش بقى + +254 +00:19:43,870 --> 00:19:47,930 +وكانهم هيك واتوصلوا هيك فهمتوا عليها لإن هم نزلوا + +255 +00:19:47,930 --> 00:19:55,960 +على بعض طيب إيش هو هذه نفس ال area؟نفس ال area نفس + +256 +00:19:55,960 --> 00:19:59,740 +ال D نفس ال D بس هنا ال area بتختلف إذا في النص + +257 +00:19:59,740 --> 00:20:02,260 +بقول نص ال area إذا تلت بقول تلت ال area حسب إيش + +258 +00:20:02,260 --> 00:20:05,940 +هو بيقوللي إذا لما يكون هيك مره أكتر في سؤال في + +259 +00:20:05,940 --> 00:20:10,780 +الكتاب هيك عاملهي كابة واحد هى كابة اتنين هى كابة + +260 +00:20:10,780 --> 00:20:15,300 +تلاتة ايه كبستر هدول تلاتة كده بتحلهم بيقول تنتين + +261 +00:20:15,300 --> 00:20:20,280 +على التوازي الملموعة مع هذا توازي هيك بنحله لما هو + +262 +00:20:20,280 --> 00:20:22,780 +بتصير عملي التوازي توازي اذا معناته اتضايق + +263 +00:20:22,780 --> 00:20:26,320 +electric بيروح بيجسمل الكبستر لعدد كبستر حسب + +264 +00:20:26,320 --> 00:20:29,940 +المارتخال هو باحتلها لكن لما يكون احتلها كلها + +265 +00:20:29,940 --> 00:20:33,200 +بيقول مادلش لكبستر واحد مافيش غيره وكل ساعته + +266 +00:20:33,200 --> 00:20:34,360 +اتغيرت تمام + +267 +00:20:44,310 --> 00:20:49,130 +عشان التوالي والتوازي ما خيش حقه حاولت احل سؤال 27 + +268 +00:20:49,130 --> 00:20:52,550 +و28 في الكتاب طبعا شباب احنا امتحاننا يوم التلاتة + +269 +00:20:52,550 --> 00:20:55,990 +من يوم التلاتة احل اعمالها مراجعة المحاضرة في + +270 +00:20:55,990 --> 00:21:01,410 +النهاية طالب عشان يجيبي علامة الحلوة اللي هو بدوية + +271 +00:21:01,410 --> 00:21:03,630 +احنا عارفين امتحاننا مقال مخصص من إلى جزء اين + +272 +00:21:03,630 --> 00:21:07,890 +خمساشر سؤال multiple choice وفي أربع سؤال حالي + +273 +00:21:07,890 --> 00:21:10,490 +طبعا ال quote ذات بتفيدك في multiple choices ولا + +274 +00:21:10,490 --> 00:21:16,350 +لألكن الحل الأسئلة كيف تتدرب عليها فهو كل chapter + +275 +00:21:16,350 --> 00:21:19,370 +بديتكم أسئلة تحلوها إذا حلت تمانين في المية على + +276 +00:21:19,370 --> 00:21:22,870 +الأقل بتضمن أنه تحل كل الأسئلة على الأقل تمانين + +277 +00:21:22,870 --> 00:21:25,570 +يعني في بعض الأسئلة شوية متقدمة ما .. ما ننجعوا + +278 +00:21:25,570 --> 00:21:29,410 +فيها مرة طبعا بتأتمت لكن في الآخر لازم الواحد يرقل + +279 +00:21:29,410 --> 00:21:32,330 +الأسئلة اللي بديكم إياها في بداية كل chapter وهي + +280 +00:21:32,330 --> 00:21:34,950 +جزء من الأسئلة الكلية تبع الكتاب المفروض تحلوا + +281 +00:21:34,950 --> 00:21:38,750 +فعلها وتعرفوا تحلوها على كل أحوالهذا سؤالين من + +282 +00:21:38,750 --> 00:21:41,610 +الأسئلة الـ recommended اللي أنا أديتكم إياها + +283 +00:21:41,610 --> 00:21:46,110 +بيقول find the equivalent capacitance between A + +284 +00:21:46,110 --> 00:21:51,590 +and B for the combination shown ومديك C1 قداش وC2 + +285 +00:21:51,590 --> 00:21:56,650 +قداش وC3 قداش السؤال اللي وراه له 28 مش بيقول if + +286 +00:21:56,650 --> 00:22:00,350 +DAB بالساوية 60 volt إذا كان فرق الجهد بين A وB + +287 +00:22:00,350 --> 00:22:05,150 +عدي مديكم الرسمة 60 volt for the charge on C3 هي + +288 +00:22:05,150 --> 00:22:10,950 +الرسمة شبابهذه a و b وهذه c1 وهذه c3 وهذه c2 وهذه + +289 +00:22:10,950 --> 00:22:17,040 +c12 وهذه c2بيقولي بين A و B بيديه C equivalent + +290 +00:22:17,040 --> 00:22:20,740 +يعني واحد تمين تلاتة اربع خمسة ست سنة Capacitors + +291 +00:22:20,740 --> 00:22:23,800 +هدول سبعة Capacitors دلّا مجّص فيهم لما صيروا + +292 +00:22:23,800 --> 00:22:27,340 +كمستر واحد هذا يعتبر C equivalent بعد كده بيقولي + +293 +00:22:27,340 --> 00:22:30,200 +لو كان فرق جوهر بين A و B ستين Volt هذا يجديش + +294 +00:22:30,200 --> 00:22:33,900 +عليها شحنات طبعا هذا مجربه لكن ممكن يقولي اوي + +295 +00:22:33,900 --> 00:22:37,580 +الشحنات على كل Capacitors هذا جديش عليه وهذا جديش + +296 +00:22:37,580 --> 00:22:41,420 +عليه وهذا جديش عليه وهذا كذالنجي نشوف كيف بدنا + +297 +00:22:41,420 --> 00:22:44,100 +نوصل انا جيبت السؤال هذا لان و مرات كنا نجيبه في + +298 +00:22:44,100 --> 00:22:47,800 +امتحان و الطالب مايكونش مركز يطلع على رأسه الجوية + +299 +00:22:47,800 --> 00:22:52,000 +الوردية محله على رأسها يعمل هيك فوق بعد برايل و + +300 +00:22:52,000 --> 00:22:54,700 +يعمل هيك و يقول برايل و يطلع الجوية الوردية مثل + +301 +00:22:54,700 --> 00:22:58,480 +الامتحان حالتها برايل ييجي بعد ما يستمر الدرجة بلا + +302 +00:22:58,480 --> 00:23:07,670 +جهزيه برايل هدول؟ لأتعرفين عليه يا شباب؟ هدول براي + +303 +00:23:07,670 --> 00:23:10,590 +اللي بقى .. هادي براي ايه؟ السنة واحدة واحدة هدول + +304 +00:23:10,590 --> 00:23:13,710 +series تطلع عشان .. كيف بدي احكم عليه انه توازي و + +305 +00:23:13,710 --> 00:23:17,750 +لا مش توازي؟ احنا وجوهنا شرط التوازي تساوي الجهود + +306 +00:23:17,750 --> 00:23:21,210 +كيف بدي احكم عليه انه هذه الجهود متساوية و لا لأ؟ + +307 +00:23:21,210 --> 00:23:25,490 +بقول السهلة انا عندي قاعدة معروفة كل two + +308 +00:23:25,490 --> 00:23:29,070 +conductors بينهم سلك جهدهم واحد و لا لأمظبوط ولا + +309 +00:23:29,070 --> 00:23:33,750 +لأ؟ طيب انا بقول طب هدوش جهدهم واحد بقول اه هده و + +310 +00:23:33,750 --> 00:23:37,770 +هده جهدهم واحد بس هده و هده جهدهم واحد لأ كيف اعرف + +311 +00:23:37,770 --> 00:23:41,750 +شباب عشان برضه تجرب ال .. ال .. ال resistors؟ + +312 +00:23:41,750 --> 00:23:44,890 +بلاكي مشي من plate لplate ده طول ما انت ماشي ممرتش + +313 +00:23:44,890 --> 00:23:48,990 +لا ع كبستر ولا ع بطارية ولا ع بقاوة ولا ع ملافظة + +314 +00:23:48,990 --> 00:23:51,700 +بيقولوا اللي هو نفس الجهدهتقول انا ماشي من هال + +315 +00:23:51,700 --> 00:23:53,920 +لهان ماريت على حاجة من هدول اللي اشتغلتها و ذكرته + +316 +00:23:53,920 --> 00:23:57,280 +اللي هو نفس الجهود فبيلمشولي من هال لهان و ماتمروش + +317 +00:23:57,280 --> 00:24:00,760 +ولا على حاجة في إمكانية؟ ولا ممكن يعني الناس يمشي + +318 +00:24:00,760 --> 00:24:03,760 +في الطريق هذه هي فيه كبستر يمشي في الطريق هذه فيه + +319 +00:24:03,760 --> 00:24:06,760 +two kbusters مظبوط ولا لأ إذا مافيش إمكانية إذا + +320 +00:24:06,760 --> 00:24:09,660 +ماقدرش أقول هدول اللي هو نفس الجهود مزايا هدول + +321 +00:24:09,660 --> 00:24:12,420 +اللي هو مش نفس الجهود إذا ماقدرش أقول V1 بيساوي V2 + +322 +00:24:12,420 --> 00:24:15,660 +وهذا شرط التوازي إذا هدول مش متواصلة على التوازي + +323 +00:24:16,700 --> 00:24:20,260 +لكن طبعا واضح وإن كان غسني بالراس محطم فوق بعض + +324 +00:24:20,260 --> 00:24:23,760 +هدول اللي حاطموا جانب و بعض هي هي لو انا يبت هذا + +325 +00:24:23,760 --> 00:24:25,960 +السلك ما هو انتوا لما تكونوا في المعمل بقولكم + +326 +00:24:25,960 --> 00:24:29,000 +انتوا لما تنغسوا توالي توازن بتكون هيك الصبطة رايح + +327 +00:24:29,000 --> 00:24:31,980 +هيك بالظبط ولا السلك رايح هيك ومتنم هيك ومين هذا + +328 +00:24:31,980 --> 00:24:35,320 +السلك متنم اعملوه هيك بصف .. بصفة عادي هي نفس + +329 +00:24:35,320 --> 00:24:39,190 +الصفة هدول توالي وهذا اعملوه هنا يصير هناهدول + +330 +00:24:39,190 --> 00:24:43,330 +توالي شباب لإن طلع لو طيار دخل هنا هو نفسه بيجي + +331 +00:24:43,330 --> 00:24:46,230 +هنا ولا لأ؟ هو نفسه إذا أنا هاد الشحنات نفسها + +332 +00:24:46,230 --> 00:24:51,810 +تمام؟ إذا معناته كيف بدي أقول؟ بدي أقول هدول كيف؟ + +333 +00:24:51,810 --> 00:24:57,890 +توالي توالي و هدول؟ توالي برضه توالي طب و هدول؟ + +334 +00:24:57,890 --> 00:25:01,270 +توالي اتطلعوا يا شباب شرط التوازي أنا ماشي من هنا + +335 +00:25:01,270 --> 00:25:05,800 +ل هنا ماشيت ولا ماماشيتش؟ مريت بحاجة؟طب مخلصتش بـ + +336 +00:25:05,800 --> 00:25:08,660 +3 اجراء لسه لان انا بتعامل مع فاق لغوط طب هين + +337 +00:25:08,660 --> 00:25:14,840 +مشيك؟ في مشكلة؟ اذا شرط التوازي اتحقق تحت فبقول + +338 +00:25:14,840 --> 00:25:23,700 +هدول مالهم براوين حلو series 1 على c1 في c2 اتنين + +339 +00:25:23,700 --> 00:25:25,880 +في .. عشرة في اتنين ماتطلعش + +340 +00:25:28,890 --> 00:25:37,630 +عشرين عقبعش و هد عشرين عقبعش بطلحها طبعا هد C2 وC2 + +341 +00:25:37,630 --> 00:25:39,750 +عشرين فبتطلع بهذا الشكل + +342 +00:25:43,940 --> 00:25:47,680 +و هذه هيك هذه عشرين عطنعة تلاتة point تلاتة وهذه + +343 +00:25:47,680 --> 00:25:52,500 +تلاتة point تلاتة وهذه عشرين عشرة وعشرة ع التوازي + +344 +00:25:52,500 --> 00:25:56,280 +في مشكلة يا شباب؟ لكن عملت طيب التلاتة اللي فوق + +345 +00:25:56,280 --> 00:26:02,460 +كيف مصلين؟ توازي فبقول هدول التلاتة كلهم توازي + +346 +00:26:05,050 --> 00:26:13,410 +بعمل هيك توازي يعني اجمعهم 3.3 و 3.3 6.6 و C3 2 + +347 +00:26:13,410 --> 00:26:23,370 +إلى 8.6 و 21كيف تقلبتين فوق بعض؟ توالي توالي + +348 +00:26:23,370 --> 00:26:26,990 +بضربهم فوق بعض و بجسمهم و تطلع ال end لما عملتم + +349 +00:26:26,990 --> 00:26:31,950 +تقريبا إجابة ستة بال calculator إذا انجد دي C + +350 +00:26:31,950 --> 00:26:36,770 +equivalent ستة مايكروفارات صح ولا لأ؟ C equivalent + +351 +00:26:36,770 --> 00:26:40,930 +بتساوي ستة مايكروفارات طبعا أنا في الانتحان هذا مش + +352 +00:26:40,930 --> 00:26:44,530 +داخل في الانتحان الأول بكفي على الرأس ما تتعاملوا + +353 +00:26:44,530 --> 00:26:47,320 +معاه من دون ما تحلوا أي حاجة بكفيإذا الإجابات + +354 +00:26:47,320 --> 00:26:50,040 +صحيحة مابدوبولش إيش القوانين اللي استخدمتوها بس + +355 +00:26:50,040 --> 00:26:53,220 +أنا بحب مرات الواحد بخربط في الحسابات أو عشان أنا + +356 +00:26:53,220 --> 00:26:57,000 +بحاسبش عن الحسابات بحب فوق الطالب و بحلسه زي هذه + +357 +00:26:57,000 --> 00:27:00,640 +بيقوللي C equivalent في ال series بالساوي C1 على + +358 +00:27:00,640 --> 00:27:05,260 +C2 على C1 زي C2 بيكتبلي في البرادل C equivalent + +359 +00:27:05,260 --> 00:27:09,540 +بالساوي C1 زي C2 بس تعملليهم هيك و حطهم و يرميبحيث + +360 +00:27:09,540 --> 00:27:13,960 +انه لو غلط في الحساب مقسملهش اشي مضطر لو حد بيخبط + +361 +00:27:13,960 --> 00:27:17,820 +مثلا نفطر الدبال اتنين في تلاته احطها خمسة هذه + +362 +00:27:17,820 --> 00:27:21,000 +غلطة شاية دايما بس اه هو انا ماتفرجش معايا بس + +363 +00:27:21,000 --> 00:27:25,800 +بتتأكد انه اشتغل على القوانين الصح ماعكسهمشطبعا لو + +364 +00:27:25,800 --> 00:27:29,400 +صح الحل وماحطش القوانين مدورش عليه .. مديش + +365 +00:27:29,400 --> 00:27:32,120 +القوانين .. لكن لو حل غلط و هدول القوانين صح برضه + +366 +00:27:32,120 --> 00:27:35,720 +حطوا علامة كاملة .. فاهمين؟ طبعا كيف الحل صح .. إن + +367 +00:27:35,720 --> 00:27:39,500 +الأصل هدول حكم عليهم صح .. هذا الاصل .. يعني إيش + +368 +00:27:39,500 --> 00:27:41,920 +هو ال series و إيش هو ال variable هدول كتير مهمين + +369 +00:27:41,920 --> 00:27:45,700 +.. لكن انا طلعت واحد حطلي هنا variable بكمليش .. + +370 +00:27:45,700 --> 00:27:49,980 +لو حطلي هنا variable بكمليش .. أو والله حطلي هدول + +371 +00:27:49,980 --> 00:27:53,640 +series خلاص .. خلط مركزي هذا .. يعني طبعا .. لكن + +372 +00:27:53,640 --> 00:27:59,580 +..والجواب هنا غلط وعارف القوانين صح بدي علامة + +373 +00:27:59,580 --> 00:28:03,180 +كاملة فهو أهم الجواب فاهمين عليها أما الحكم على أن + +374 +00:28:03,180 --> 00:28:05,200 +parallel ولا series هي شغل مركزية ممنوع حد يغلط + +375 +00:28:05,200 --> 00:28:08,600 +فيها ممنوع شغلات تكون لا هي parallel ولا هي series + +376 +00:28:08,600 --> 00:28:10,940 +وحد يقول هي هذي series او هذي parallel واحنا + +377 +00:28:10,940 --> 00:28:13,380 +عارفين أنه في شغلات لا هي بتكون لا هي series ولا + +378 +00:28:13,380 --> 00:28:16,140 +هي parallel فبننتبه وطبعا في المتحالة ليه يكونش + +379 +00:28:16,140 --> 00:28:19,660 +سؤال سهل يعني مصفّل جنبها زي ما تعرفين لازم يكون + +380 +00:28:19,660 --> 00:28:23,360 +فيه تفكير وبالتالي في بعض الرسلة في الكتاب موجودة + +381 +00:28:23,360 --> 00:28:28,210 +كيف يتحلل الآن العكس؟بيقول لي إذا كانت VAB بسوء 60 + +382 +00:28:28,210 --> 00:28:32,550 +Volt، مجددش يتشحن اللي على هدا؟ طب عشان هدي + +383 +00:28:32,550 --> 00:28:35,790 +بشحنته، بدي أعرف جهده، صح ولا لأ؟ إذا عارفش جهده + +384 +00:28:35,790 --> 00:28:39,410 +هدا، بقى عارفش بشحنته، بصبوط؟ فهو إيش مديني؟ مديني + +385 +00:28:39,410 --> 00:28:42,750 +جهده؟ هل هذا الجهد هو نفسه تبقى الجهد هذا؟ عشان + +386 +00:28:42,750 --> 00:28:45,730 +كده مرات لما أحط السؤال ويطالب برضه مش مركزي، + +387 +00:28:45,730 --> 00:28:47,850 +مقولي إيش بده هدا؟ يا ورا دي مثلة للسؤال، مديني + +388 +00:28:47,850 --> 00:28:51,650 +جهد و بده Q طب هاي غلط، ستين فيها دي، تلاتة، إذا + +389 +00:28:51,650 --> 00:28:59,310 +الـ120لكن هل الجهود هنا بالساعة ستين فول؟ لأ كيب + +390 +00:28:59,310 --> 00:29:02,010 +ده حل .. طبعا الشبكات بيحلها في الاسلات زي هذه .. + +391 +00:29:02,010 --> 00:29:08,030 +بيقول هذه VAB بقدر أقول عنها V equivalent VAB + +392 +00:29:08,030 --> 00:29:11,430 +equivalent ولا لأ؟ اه طيب الكون اللي كان عندي + +393 +00:29:11,430 --> 00:29:16,630 +بينها دي صح ولا لأ؟ إذا بيبدأ من هذه بيبدأي + +394 +00:29:16,630 --> 00:29:21,670 +بالشحنة الكلية بقول الشحنة الكلية بعرف Cالكلية ولا + +395 +00:29:21,670 --> 00:29:27,670 +لا؟ مش عرفتها؟ 6 في 60 طلعتها هذه 60 volt اذا 360 + +396 +00:29:27,670 --> 00:29:33,270 +micro column ولا لا؟ هذه طلعتها بعدين بتطلع اذا + +397 +00:29:33,270 --> 00:29:37,770 +VEP هي الجهد الكلي الجهد الكلي يعني ال equivalent + +398 +00:29:37,770 --> 00:29:42,570 +بروح الساعة الكلية بقول جيب Q equivalent بجيبها + +399 +00:29:42,570 --> 00:29:46,590 +بقولي طب هذا اخر واحد من وين جه؟ هو equivalent + +400 +00:29:46,590 --> 00:29:51,800 +لمين؟ لكن كيف بتوصلين؟توالي .. ايه شرط التوالي؟ + +401 +00:29:51,800 --> 00:29:58,300 +تساوي الشحنات .. طب هذه 360 .. فهذه جد ايه؟ 360 .. + +402 +00:29:58,300 --> 00:30:02,740 +و هذه بقري 360 .. بقول اذا .. اذا انا بعرف توالي و + +403 +00:30:02,740 --> 00:30:05,900 +توازي و بعرف ايش بأستغل .. بقول هذه 360 .. وهذه + +404 +00:30:05,900 --> 00:30:08,600 +360 .. اذا هذه من وين شبهت؟ استغرقتي؟ لأ .. + +405 +00:30:08,600 --> 00:30:12,680 +ماعرفهم توالي .. و بعرف شرط التوالي .. هطلقهم .. + +406 +00:30:12,680 --> 00:30:16,980 +جالي حلو ..هذه هي نفسها هذه ولا لا؟ كده الشحنات + +407 +00:30:16,980 --> 00:30:22,300 +هذه؟ برائل + +408 +00:30:22,300 --> 00:30:27,240 +.. اي شرط البرائل؟ تساوي الجهود .. جيب الجهود .. + +409 +00:30:27,240 --> 00:30:31,880 +بقدر اجيب الجهود لهذا؟ اه .. بيساوي هذه على هذه .. + +410 +00:30:31,880 --> 00:30:35,080 +ولا لا؟ بس الجهود بيساوي كيلو على سي؟ اذا عرفش + +411 +00:30:35,080 --> 00:30:38,860 +جهود هذه .. كده جهود هذه؟ و هذه؟ اذا جهود هذه .. + +412 +00:30:38,860 --> 00:30:44,210 +اه .. هذه هي نفسها هذه ولا لا؟ نحل السؤالطبعا بقول + +413 +00:30:44,210 --> 00:30:49,850 +عشان انهم طلعوا تيازي بدي جود جبت جود طلعت 42 volt + +414 +00:30:49,850 --> 00:30:55,950 +جسمت 360 على 8.6 طلعت 42 volt كل زرقه هجيت ويانته + +415 +00:30:55,950 --> 00:31:00,630 +كدش هذى طبعا هذى 42 و 42 بس انا مابديش يهو انه بدي + +416 +00:31:00,630 --> 00:31:05,090 +هو هذى انا عايز بحرصه على الكتاب يعنى طب هذى جود + +417 +00:31:05,090 --> 00:31:08,850 +انا عرفه و ساعتها Z3 انا عرفت بقدر اجيب شحنتها ولا + +418 +00:31:08,850 --> 00:31:16,690 +لأ هذى شحنتهاطب هل هذه هي نفسها دي؟ لأ لأ لكن هل + +419 +00:31:16,690 --> 00:31:19,970 +ال 42 هي نفسها دي؟ لأ طبعا بضرب 42 في 3.3 بطلع + +420 +00:31:19,970 --> 00:31:25,250 +الجواب صح ولا لأ؟ و هذه 42 في 3.3 بطلع الجواب صح؟ + +421 +00:31:25,250 --> 00:31:30,010 +هنا .. طب هجيت المداجي أقول هذه عارفة جهد .. شحنة + +422 +00:31:30,010 --> 00:31:33,170 +تهان بكون نفسها اليهان و نفس اليهان ولا لأ؟ او + +423 +00:31:33,170 --> 00:31:36,750 +انتوازن .. توارث و الشحنة اليهان هي نفسها دي و + +424 +00:31:36,750 --> 00:31:40,800 +نفسها اليهان؟ بكون دي بتكل الشحناتإذا عرفت ما هي + +425 +00:31:40,800 --> 00:31:46,880 +تلاتة بين تلاتة في 42 ستة + +426 +00:31:46,880 --> 00:31:55,860 +اتناش ستة تمانية تلاتة واحد طلعت اتنين واربعين + +427 +00:31:55,860 --> 00:32:01,500 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +428 +00:32:01,500 --> 00:32:01,880 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +429 +00:32:01,880 --> 00:32:01,980 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +430 +00:32:01,980 --> 00:32:02,020 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +431 +00:32:02,020 --> 00:32:02,120 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +432 +00:32:02,120 --> 00:32:07,520 +تلاتة تلاتة تلاتة تلات + +433 +00:32:11,290 --> 00:32:20,250 +أه 138.6 هدي جدي الشباب برضه 138.6 وهدي انا عرفته + +434 +00:32:20,250 --> 00:32:22,910 +هدي انا عرفته هدي انا عرفته هدي كيف بدي اجيب هدي و + +435 +00:32:22,910 --> 00:32:29,730 +هدي هدول متواصلة على التوازي بدي اعرف جودهوهذه هي + +436 +00:32:29,730 --> 00:32:33,850 +شحنتها وهي سلطتها تجيب الزغل بيقول هو نفس الجهد + +437 +00:32:33,850 --> 00:32:36,270 +اللي هام لو هو نفس الجهد اللي هام بقدر اجيب الشحنة + +438 +00:32:36,270 --> 00:32:41,010 +اللي هام و بقدر اجيب الشحنة اللي هاد واضح شباب؟ + +439 +00:32:41,010 --> 00:32:45,610 +اذا الأسئلة غالبا بتكون بيقول كدي بيجيب C + +440 +00:32:45,610 --> 00:32:50,010 +equivalent غالبا بيقولك جيبك يو على احد المكثفات + +441 +00:32:50,010 --> 00:32:52,950 +وما زاد انك تجيبك يو على احد المكثفات غالبا بلزمك + +442 +00:32:52,950 --> 00:32:56,190 +C equivalent او الاقل وانت ماشي تعرف التواريه + +443 +00:32:56,190 --> 00:32:59,580 +وتعرف التوازيحكفالدكتور في الامتحان ممكن نكتب + +444 +00:32:59,580 --> 00:33:02,800 +الخطوات اللى هو اللى .. اللى بدأنا .. لأ ع الرسمة + +445 +00:33:02,800 --> 00:33:07,560 +بس ع الرسمة بس ع الرسمة زى منعان انا مش .. انت مش + +446 +00:33:07,560 --> 00:33:10,360 +أحسن منه ولا انا أحسن منك زى منعان ماني أعمل زيه + +447 +00:33:10,360 --> 00:33:14,180 +تمام؟ يعني انا كل .. كل حل كان ع الرسمة بدون احط + +448 +00:33:14,180 --> 00:33:17,950 +قوارب ولا حاجةخلاص طبعا إذا أنا مازال حاطيت توالي + +449 +00:33:17,950 --> 00:33:22,490 +توازي بقدر أتبعك أهم حاجة يا شباب الحكاية هدول ال + +450 +00:33:22,490 --> 00:33:25,170 +series و ال parallel تكون أنت حتمت عليهم صح و + +451 +00:33:25,170 --> 00:33:29,490 +تماشي خلاص أنا مقدر أتبعك في الآخر مديش تحطلي ولا + +452 +00:33:29,490 --> 00:33:32,690 +قانون هدول إذا حطتها في مخك ومانفتش حاجة ده ماني + +453 +00:33:32,690 --> 00:33:36,810 +أشيها و كمان لكن أحطهم أحصلك أمان إلك لإنك لو خربت + +454 +00:33:36,810 --> 00:33:41,030 +في الحساب بسامحكتمام؟ لأ صديقي الأمان إليك مش أمان + +455 +00:33:41,030 --> 00:33:45,270 +إليك أنا حافظهم و بقدر أطبعك للآخر بس احكملي على + +456 +00:33:45,270 --> 00:33:53,690 +التوازي و التوازي صح شباب واضح؟ هحكي من A ل B لو + +457 +00:33:53,690 --> 00:33:59,050 +ال C2 و ال C2 هاي انا و واحدة ان هي ال C2 و ال C2 + +458 +00:33:59,050 --> 00:34:04,370 +البلد هدول؟ طيب و قلنا ان الجمهور هو نفسهم طبع ال + +459 +00:34:04,370 --> 00:34:10,210 +C2 جمعناهم على اللي فوق ال C2ال EAB مالو مش جاعب + +460 +00:34:10,210 --> 00:34:16,010 +هدول .. بيزاوش في يورو .. هالجمهد هذي هو نفسه + +461 +00:34:16,010 --> 00:34:20,950 +هالجمهد؟ مجموح .. مجموح ما هو نفسه ال EAB؟ هدور + +462 +00:34:20,950 --> 00:34:28,230 +تاني من جمهد مجموح هم EAB؟ مجموح + +463 +00:34:28,230 --> 00:34:32,490 +هدول .. جمهد ستين .. يعني جمهد هد و جمهد هد .. + +464 +00:34:32,490 --> 00:34:38,900 +وقولك هد مديش جهده .. و انا مغمّططمن طعش .. طمن + +465 +00:34:38,900 --> 00:34:44,620 +طعش .. طمن + +466 +00:34:44,620 --> 00:34:54,580 +طعش .. طمن طعش .. طمن طعش .. طمن طعش .. طمن طعش + +467 +00:34:54,580 --> 00:34:58,060 +.. طمن طعش .. طمن طعش .. + +468 +00:35:01,850 --> 00:35:06,390 +والثاني هو Gold لأن هذه كيلو اربعين طب أطلعلها + +469 +00:35:06,390 --> 00:35:12,230 +فإذا كانت 18 جيه ده أعرفها لدرجة سحنتها أعرفها طب + +470 +00:35:12,230 --> 00:35:19,030 +هذي كده؟18 قطعا خي 18 بول كم يوم يوم انا بجيبها .. + +471 +00:35:19,030 --> 00:35:27,530 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +472 +00:35:27,530 --> 00:35:32,150 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +473 +00:35:32,150 --> 00:35:32,290 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +474 +00:35:32,290 --> 00:35:32,610 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +475 +00:35:32,610 --> 00:35:32,650 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +476 +00:35:32,650 --> 00:35:36,230 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +477 +00:35:38,950 --> 00:35:43,250 +في أي كيوب أقدر أجيبها بالمعكوس بقى دي ليش + +478 +00:35:43,250 --> 00:35:48,250 +بالمعكوس لأنه غالبا بدين الجهد الكلي عشان كده لازم + +479 +00:35:48,250 --> 00:35:52,070 +أروح ل C equivalent في الآخر و أجيب قد أجيبها و + +480 +00:35:52,070 --> 00:35:55,190 +أرجع أرجوها لإن هذا أصلا أنا اللي جبته عارف أصلا + +481 +00:35:55,190 --> 00:35:59,910 +من وين إجا جا من نتيجة التوصيلة توالي أو توادي + +482 +00:36:00,000 --> 00:36:03,760 +عارفها و التوازي شرطه عارفه و التوازي انا شرطه + +483 +00:36:03,760 --> 00:36:07,260 +عارفه بضلني ماشي لما اجيب المطاليب اللي هو + +484 +00:36:07,260 --> 00:36:10,560 +بدهوياها فاغلب الأسئلة في الامتحان او في الكتاب + +485 +00:36:10,560 --> 00:36:15,480 +بتكون مديكي جهود بقولك اوجد الشحنات عندك لو طلعته + +486 +00:36:15,480 --> 00:36:22,680 +على الشغلات هذه بتكون موجودة تمام هيك بيكون احنا + +487 +00:36:22,680 --> 00:36:30,100 +أنجزنا الشابتر الرابع اكوزه هخليه بعد امتحانعشان + +488 +00:36:30,100 --> 00:36:33,560 +امتحان طبعا امتحاني لو امتحان كيميا او calculus + +489 +00:36:33,560 --> 00:36:37,200 +بهمنيش طبعا امتحان فيزا في الأخر امتحاننا فبالتالي + +490 +00:36:37,200 --> 00:36:41,680 +مش هنبدأ اليوم طبعا ولا بكرا هنبدأ يوم التلاتة ان + +491 +00:36:41,680 --> 00:36:44,300 +شاء الله الساعة تمانية في الليل بعد ما تكونوا + +492 +00:36:44,300 --> 00:36:46,880 +ارتاحتوا و نسيتوا الامتحان يعني نمتوا و صحيتوا + +493 +00:36:46,880 --> 00:36:49,420 +طبعا هو لما نفتح يوم التلاتة في الليل مش بدرورة + +494 +00:36:49,420 --> 00:36:53,480 +تامتحنوا يوم التلاتة في الليل يعني معاكم حد هضلني + +495 +00:36:53,480 --> 00:37:00,250 +مديكم وجه يوم الأحدالليلة بيخلص الساعة اتناش الا + +496 +00:37:00,250 --> 00:37:09,050 +خمسة غيرت ال quiz مغيرتش انا المهم مفتوح الليلة + +497 +00:37:09,050 --> 00:37:16,230 +اليوم الساعة اتناش الا خمسة شغل تاني شباب بتاعة + +498 +00:37:16,230 --> 00:37:16,970 +المحاضرة دي + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/cqn6278MXnQ_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/cqn6278MXnQ_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..0132fd0dc8c7067cc7a94c7164b385c1433fb121 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/cqn6278MXnQ_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 268, "start": 0.0, "end": 2.68, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3730468700329463, "compression_ratio": 0.5714285714285714, "no_speech_prob": 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كانوا هيك وقلت ووصلتهم هيك فصار هذي positive نيجاتيف بعدين هذي صارت negative positive بالتأثير هذي نفس العملية إذا هدولتوا ال capacitors الموصلين على التوالي ولمّا أقول على التوالي مش بقول C equivalent بتسوي C1 C2 على C1 زي C2 طب قالتلي إيش هيجيب C1 قاللي سهلة", "tokens": [3555, 6027, 2655, 10721, 12984, 13546, 20666, 2655, 10721, 12984, 13546, 20328, 5016, 11933, 15730, 8032, 3215, 12610, 2655, 14407, 2423, 29957, 9673, 2407, 36520, 9957, 20666, 19913, 3555, 9566, 30767, 1829, 16712, 2407, 9381, 26895, 15844, 16712, 2407, 6027, 1829, 13672, 1829, 1975, 8315, 12174, 9381, 3215, 2655, 24793, 9154, 1975, 25528, 16095, 9673, 25720, 8032, 8848, 1829, 4117, 25961, 14407, 39896, 4117, 4032, 4587, 1211, 2655, 4032, 2407, 36520, 2655, 16095, 39896, 4117, 6156, 9381, 9640, 8032, 8848, 1829, 3353, 8717, 1829, 7435, 9307, 1829, 5172, 39182, 9957, 8032, 8848, 1829, 20328, 9640, 2655, 3671, 3353, 20666, 2655, 10721, 12984, 13546, 8032, 8848, 1829, 8717, 36178, 18863, 42213, 10632, 11933, 15730, 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لما توكابسترز زي بعد واتوصلوا على التوالي معناته C equivalent نص لو واحدة ستة وستة ال equivalent جديش تلاتة تمانية تمانية أربعة فبالتالي C1 وC2 بتساوى لأنهم نفس ال days إذا C equivalent بتساوى وصي وعليه طلعناها هذه قانونها طلعت طبعا واضح يا شباب", "tokens": [3555, 8848, 6027, 383, 16, 4724, 1829, 2655, 3794, 995, 2407, 7578, 383, 17, 11933, 15730, 383, 10344, 39894, 3794, 995, 2407, 7578, 4032, 9381, 1829, 5551, 15042, 16712, 5172, 4587, 9957, 5551, 15042, 7251, 30544, 14407, 1975, 2655, 1863, 9957, 5551, 25513, 27884, 36725, 25513, 27884, 10874, 16254, 3215, 383, 10344, 39894, 9381, 13546, 1975, 2655, 1863, 9957, 20328, 5016, 49429, 5296, 10721, 22807, 5296, 15042, 6055, 2407, 4117, 16758, 14851, 2288, 11622, 30767, 1829, 45030, 3215, 4032, 9307, 2407, 36520, 14407, 15844, 16712, 2407, 6027, 1829, 20449, 8315, 47395, 383, 10344, 8717, 9381, 45164, 36764, 24401, 3660, 8608, 2655, 3660, 4032, 14851, 3660, 2423, 10344, 10874, 16254, 8592, 6055, 1211, 9307, 3660, 46811, 7649, 10632, 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"word": " جديش", "probability": 0.8513997395833334}, {"start": 888.76, "end": 889.5, "word": " تلاتة", "probability": 0.77276611328125}, {"start": 889.5, "end": 889.7, "word": " تمانية", "probability": 0.7347819010416666}, {"start": 889.7, "end": 889.96, "word": " تمانية", "probability": 0.9098307291666666}, {"start": 889.96, "end": 890.32, "word": " أربعة", "probability": 0.9285481770833334}, {"start": 890.32, "end": 890.92, "word": " فبالتالي", "probability": 0.9344889322916666}, {"start": 890.92, "end": 891.26, "word": " C1", "probability": 0.829345703125}, {"start": 891.26, "end": 891.66, "word": " وC2", "probability": 0.8986002604166666}, {"start": 891.66, "end": 892.28, "word": " بتساوى", "probability": 0.921875}, {"start": 892.28, "end": 892.6, "word": " لأنهم", "probability": 0.68994140625}, {"start": 892.6, "end": 892.74, "word": " نفس", "probability": 0.99609375}, {"start": 892.74, "end": 892.86, "word": " ال", "probability": 0.9375}, {"start": 892.86, "end": 893.1, "word": " 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+00:00:18,380 --> 00:00:23,020 +واتفقنا محصلة الكلام اللى اتفقنا عليه ان وجود ال + +5 +00:00:23,020 --> 00:00:27,360 +dielectric جوا ال capacitor بزيدي السعة بمقدار + +6 +00:00:27,360 --> 00:00:31,260 +معين هذا المقدار سمته ال dielectric constants + +7 +00:00:31,260 --> 00:00:35,540 +kappa واتفقنا ان kappa تختلف من مادة لمادة لفرق + +8 +00:00:35,540 --> 00:00:43,080 +بتسوي واحد وهو اقل قيمة بعد كده كل مادةايها قيمة + +9 +00:00:43,080 --> 00:00:47,780 +معينة C بتساوي كعبة في C not C with directly و C + +10 +00:00:47,780 --> 00:00:51,460 +not without directly يعني كل حاجة not من اليوم + +11 +00:00:51,460 --> 00:00:56,020 +اللي طالع هيكون حسب الفرق و بدون ال not بتكون حسب + +12 +00:00:56,020 --> 00:01:00,630 +المادة اللي معطيةو هذه المواد اللي اتفقنا عليها كل + +13 +00:01:00,630 --> 00:01:03,430 +واحدة و هذه اصلا معطية اليك و هتواطى اليك في كل + +14 +00:01:03,430 --> 00:01:06,710 +الأسئلة موجودة في كل الكتب و موجودة في كل المواقع + +15 +00:01:06,710 --> 00:01:09,990 +الانترنت بس اكتب انت كلمة bioelectric في اي مادة + +16 +00:01:09,990 --> 00:01:13,070 +بيجيبلك قيمة ال bioelectric ما الناس محافظها ولا + +17 +00:01:13,070 --> 00:01:16,270 +حاجة لان هتواطى الينا طبعا واضح شباب ان هذا + +18 +00:01:16,270 --> 00:01:22,290 +القانون ان قابة اليها وحدات حد ما جدش وحدكهافرد + +19 +00:01:22,290 --> 00:01:27,090 +وهادي فرد افراد مافيش وحدة فكابا مالهاش وحدة عبارة + +20 +00:01:27,090 --> 00:01:30,050 +عن بلد تلهاد عشان كده انظر انتم ملاحظين هنا مافيش + +21 +00:01:30,050 --> 00:01:32,930 +وحدة هادي فورت عالمية لكن هنا مافيش اي وحدة لان + +22 +00:01:32,930 --> 00:01:37,250 +كابا is a numerical value بتعتمد على ان هو المادة + +23 +00:01:38,360 --> 00:01:42,440 +وشرحنا ايش اللي خلّى الساعة تزيد اتفقنا وجود + +24 +00:01:42,440 --> 00:01:49,060 +المادة العازلة بيخليها polarized تترتب وانتوا + +25 +00:01:49,060 --> 00:01:52,880 +ذاكرين فيه تشابه يا شباب ما بين ال polarization و + +26 +00:01:52,880 --> 00:01:56,740 +ال magnetization انه انا كيف المادة بخليها مغناطيس + +27 +00:01:56,740 --> 00:02:01,660 +بحطها في مجال مغناطيسي ولا لأ؟تتصفط في بعض المواد + +28 +00:02:01,660 --> 00:02:06,060 +لما أجيب المؤثر بترجع تتخربش وفي بعض المواد لما + +29 +00:02:06,060 --> 00:02:09,960 +أجيب المؤثر بتضرها عاجلة بتضرها مصفطة هذه المواد + +30 +00:02:09,960 --> 00:02:12,560 +اللي بتضرها مصفطة هكون تسميها ferromagnetic + +31 +00:02:12,560 --> 00:02:16,280 +materials عشان كده بتضرها معناطيس لكن المعناطيس + +32 +00:02:16,280 --> 00:02:19,620 +الكهربائي قطف الكهربا بيصير معناطيس بيبطل فيه + +33 +00:02:19,620 --> 00:02:22,840 +معناطيس اذا في بعض المواد زي هذه احنا لما عملنا + +34 +00:02:22,840 --> 00:02:28,410 +هيك شباب يومتهابدي انا هادي هجيت هادي كانت أفشة و + +35 +00:02:28,410 --> 00:02:31,550 +جيت هنا و اترتبت لو جيت هادي بعد ما اترتبت عاوز + +36 +00:02:31,550 --> 00:02:35,470 +بتطلعتها ايش بيصير فيها بتعود تتصير تتخربش تتصير + +37 +00:02:35,470 --> 00:02:39,130 +تتبقى polarized إذا ان هي polarized بفعل مؤثر + +38 +00:02:39,130 --> 00:02:42,630 +خارجي و هو المجال الكهربائي جيه من المؤثر الخارجي + +39 +00:02:42,630 --> 00:02:46,330 +بيرجعوا يتقاتلوا ال people جوا كل واحد بيروح على + +40 +00:02:46,330 --> 00:02:52,050 +كيفه لكن بيكونوا مصفطين و مادبين بتأثيرقوة خارجية + +41 +00:02:52,050 --> 00:02:55,830 +تمام في ال magnetization لأ في بعض المواد حتى game + +42 +00:02:55,830 --> 00:02:59,590 +المؤثر الخارجي بتظهر ممرتبين وهي بيصير ساعتها + +43 +00:02:59,590 --> 00:03:02,850 +permanent magnet بيصير مغناطيس دائم اللي هي ال + +44 +00:03:02,850 --> 00:03:05,670 +pheromagnetic materials بعض المواد زي الحديد كلكم + +45 +00:03:05,670 --> 00:03:08,930 +عارفينها فبالتالي في تشابه ما بين ال polarization + +46 +00:03:08,930 --> 00:03:12,930 +و ال magnetization polarization إلها دعوة في + +47 +00:03:12,930 --> 00:03:16,620 +الكهربا و magnetization إلها دعوة في المجالمهم + +48 +00:03:16,620 --> 00:03:20,960 +اتفقنا ان هذا التصفير خلّى في عندى مجال كهربائي + +49 +00:03:20,960 --> 00:03:25,140 +يتولد جوا المادة معاكس للمجال الأصلي وبالتالي عمل + +50 +00:03:25,140 --> 00:03:28,680 +reduction in the electric field and so reduction + +51 +00:03:28,680 --> 00:03:32,360 +in the voltage between the capacitors from the + +52 +00:03:32,360 --> 00:03:36,300 +reduction of the voltage C is increased تمام + +53 +00:03:36,300 --> 00:03:41,900 +واتفقنا عليهاوصار في عندى ال total E is reduced + +54 +00:03:41,900 --> 00:03:47,080 +ومنها ال total V is reduced بط سي بيساوي Q على V + +55 +00:03:47,080 --> 00:03:51,380 +لما هدى تخس او تنقص هدى ايش بيصير فيها بالزيد وهدى + +56 +00:03:51,380 --> 00:03:54,300 +اللى حاكناه احنا اللى بدناه يعنى التفسير هدى كيف + +57 +00:03:54,300 --> 00:03:59,520 +صارك مش مطلبين بتفسيره احنابس في النهاية لازم انا + +58 +00:03:59,520 --> 00:04:02,560 +اعرف ايش اللي خلص ساعات زيد فايش اللي خلص ساعات + +59 +00:04:02,560 --> 00:04:07,740 +زيد انه E زاد .. خدست E reduced ما زال E reduced + +60 +00:04:07,740 --> 00:04:12,720 +اذا V reduced و بما انه في عرق عكسية V reduced اذا + +61 +00:04:12,720 --> 00:04:18,960 +C increased تمام اتفقنا عليها و هذا حكينا عنه الآن + +62 +00:04:18,960 --> 00:04:23,620 +شوفنا مثال طبعا ايش بيقولبقول a parallel plate + +63 +00:04:23,620 --> 00:04:27,500 +capacitor is charged by a battery of potential + +64 +00:04:27,500 --> 00:04:32,200 +difference V0 انا شحنتها ببطارية لما تنقلي جهدها + +65 +00:04:32,200 --> 00:04:37,380 +ايش بيساوي جهد البطارية لو ساعتها معروفة بقدر اجيب + +66 +00:04:37,380 --> 00:04:40,960 +الشحنات اللي عليها ولا لأ الشحنات بيساوي ساعتها في + +67 +00:04:40,960 --> 00:04:47,520 +فرق الجهد C0 في V0 بيقوللي هي المكثفتمام شبكته + +68 +00:04:47,520 --> 00:04:51,800 +بالبطارية بعد كده ايش بيقوللي ال battery is then + +69 +00:04:51,800 --> 00:04:56,200 +removed بتطير البطارية و انا عملت تماثل بين + +70 +00:04:56,200 --> 00:05:01,380 +البطارية و المصورة المصورة بتنزل ميه في إيناق + +71 +00:05:01,380 --> 00:05:07,000 +البطارية بتدخش ميه، بتدخش شحنات صح ولا لا؟ لكن انا + +72 +00:05:07,000 --> 00:05:12,500 +لو سكرت المصورة و غيرت الإيناق بدل ما هو صغير كبير + +73 +00:05:12,500 --> 00:05:18,610 +بتزيد الميهخططه تحت المصورة بزدش المي طب انا الان + +74 +00:05:18,610 --> 00:05:22,490 +البطارية بدي ارميها فين كان يزيدي شحنات بعد كده + +75 +00:05:22,490 --> 00:05:25,430 +زود الساعة ولا تخصص الساعة وليه ما يتعمل في ال + +76 +00:05:25,430 --> 00:05:30,250 +capacitor من أين تيجي الشحنات؟إذا البطارية راحت و + +77 +00:05:30,250 --> 00:05:34,610 +كأني سكرت ميّة الشحنات جمت مصدر الشحنات بيقولي the + +78 +00:05:34,610 --> 00:05:38,690 +battery is then removed رميتها and a dielectric + +79 +00:05:38,690 --> 00:05:43,210 +slab of dielectric constant kappa is inserted + +80 +00:05:43,210 --> 00:05:46,190 +between the blades of the capacitor I shown بعد ما + +81 +00:05:46,190 --> 00:05:51,940 +جمت البطاريةبتجيب مواقع البرنامج الوطنية و تنزلها + +82 +00:05:51,940 --> 00:05:57,480 +و تضعها فيها .. ايش صار في السيعة؟ زادت؟ ايش صار + +83 +00:05:57,480 --> 00:06:02,220 +في الشحنة؟ ممنوعات زيد؟ من وين بتيجي؟ احنا قولنا + +84 +00:06:02,220 --> 00:06:05,120 +زمان ان الـ charge is conserved ولا لا؟ فى إمكانية + +85 +00:06:05,120 --> 00:06:09,680 +تولدش الـ charge لحالها؟ لأ فى مصدر الشحنة إذا كان + +86 +00:06:09,680 --> 00:06:13,020 +فيه بطارية موجودة بتزيد الشحنات لان زادت السيعة صح + +87 +00:06:13,020 --> 00:06:16,510 +ولا لا؟لو البطارية بقى اللي موجودة و انا غيرت + +88 +00:06:16,510 --> 00:06:20,610 +القناة انا اكبر بزيدي المي المي موجودة لكن انا + +89 +00:06:20,610 --> 00:06:24,930 +سكرت مصدر الشحنات اللي هي البطارية رميتها الشحنات + +90 +00:06:24,930 --> 00:06:29,310 +الممنوعة ازيد السعة هتزيد لإن في الداي الهيكليك + +91 +00:06:29,310 --> 00:06:31,830 +ماتيريال is inserted between the blades of the + +92 +00:06:31,830 --> 00:06:34,390 +capacitor بيقول find the energy stored in the + +93 +00:06:34,390 --> 00:06:36,590 +capacitor before and after the slab is inserted + +94 +00:06:44,510 --> 00:06:54,990 +خلاص راحت البطارية هدول الشحنات + +95 +00:06:54,990 --> 00:06:58,830 +متغيروش + +96 +00:07:02,010 --> 00:07:06,170 +ممنوع تغيّر الشحنات بما ان الطاقة موجودة في + +97 +00:07:06,170 --> 00:07:12,630 +الكباسيتر قبل انشطة الـ dielectric هي U initial U + +98 +00:07:12,630 --> 00:07:13,870 +نُعطي يعني قبل ما تغيّر الشحنات + +99 +00:07:30,460 --> 00:07:39,700 +الان اذا بدأ اضاف دايلكريك انا اضاف دايلكريك انا + +100 +00:07:39,700 --> 00:07:45,810 +اضاف دايلكريكصارت U بيسوي Q Note تربيعة 2C ها مش Q + +101 +00:07:45,810 --> 00:07:49,710 +تربيعة 2C نفس الـ Q Note لإن الـ Q ماتغيرتش وهي + +102 +00:07:49,710 --> 00:07:52,530 +تلك السؤال مرات بيجي السؤال في الامتحان بيقول خلّي + +103 +00:07:52,530 --> 00:07:55,390 +البطارية زي ما هي وحط ضي إلكتريك ايش اللي بيضلوا + +104 +00:07:55,390 --> 00:08:00,760 +ثابت شباب في هذه الحالة؟فرق الجهد يبقى ثابت إذا + +105 +00:08:00,760 --> 00:08:05,340 +البطارية موجودة و V تتغير فهو مربوط في نفس + +106 +00:08:05,340 --> 00:08:05,840 +البطارية + +107 +00:08:29,030 --> 00:08:35,250 +أه مش سي بيسوي كابا في سي نوت؟ اه ده ده ايه ال Q + +108 +00:08:35,250 --> 00:08:38,190 +note جبتها من هناك وبعدين سي حطت كابا سي نوت هذه + +109 +00:08:38,190 --> 00:08:41,770 +ال Q note اللي جبتها من هناك من أول فهذه بتطلحها + +110 +00:08:41,770 --> 00:08:46,700 +طبعا بيسوي نقطة على كابا يعني يو في النهاية جلةانت + +111 +00:08:46,700 --> 00:08:49,420 +تذهب في النهاية لك .. طب وراحت حد يوم؟ انا عندى + +112 +00:08:49,420 --> 00:08:52,460 +energy كانت موجودة لاجيتها راحة .. طب انا بعرف ال + +113 +00:08:52,460 --> 00:08:55,800 +energy is conserved .. وين راحة؟ بيقولى هو ال + +114 +00:08:55,800 --> 00:08:58,240 +director اللى كنت بتنزل فيها هو ال capacitor بيبقى + +115 +00:08:58,240 --> 00:09:01,540 +داله ساكت؟ لأ .. احنا فى عندنا خاصية فى كل + +116 +00:09:01,540 --> 00:09:06,140 +المخلوقات انه دايما بقاوم التغيير ولا لأ .. فهذا + +117 +00:09:06,140 --> 00:09:09,540 +قاعد فى director اللى بدى يخش عنده يحاول يطرده .. + +118 +00:09:09,540 --> 00:09:11,980 +لما يحاول يطرده يبدأ الشغل .. هذا الشغل اللى بدأ + +119 +00:09:11,980 --> 00:09:15,580 +هو لضعف الفرق ما بين ال two energy .. تمام؟ + +120 +00:09:16,610 --> 00:09:20,910 +الاختلاف في الطاقة يمكن انه يتم تفسيره في عملية + +121 +00:09:20,910 --> 00:09:23,570 +الهواتف من خلال الكباسيتر الشغل يحاول ان يطرد الضي + +122 +00:09:23,570 --> 00:09:27,870 +إلكتريك بقوة عكس هو نازلته و يحاول ان يطلعه فوق و + +123 +00:09:27,870 --> 00:09:32,110 +إلى حسبة طبعا في المواد المتقدمة يمكنهم ان يطلعوا + +124 +00:09:32,110 --> 00:09:35,850 +ال work و يطلعوا القوة حتى اللي بدالها الكباسيتر و + +125 +00:09:35,850 --> 00:09:39,010 +نستطيع ان نحسب كم الشغل اللي بدله الكباسيتر لكن + +126 +00:09:39,010 --> 00:09:42,710 +احنا مش معنين فيها عشان بس مجرد ان واحد مايسألش + +127 +00:09:42,710 --> 00:09:45,370 +وين روحت ال energy و انا عارف من زمان ان ال energy + +128 +00:09:45,370 --> 00:09:49,100 +is concernedبنقوله ال energy راحت عبارة عن شغل + +129 +00:09:49,100 --> 00:09:53,560 +بذله الcapacitor عشان يقاوم دخول الداي electric + +130 +00:09:53,560 --> 00:09:57,340 +دائما هذه شغلة معروفة واخدتها في المغناطسية كمان + +131 +00:09:57,340 --> 00:10:00,820 +انه لما يكون في عندي حاجة بتنزل لازم يكون في حاجة + +132 +00:10:00,820 --> 00:10:07,100 +قاعدة بتطلحها تمام نشوف هنا كمان مثالإذا إضاءة + +133 +00:10:07,100 --> 00:10:10,160 +إلكتريك لما يدخل فيه الكباسيتر بيزيد سيحته هذا هي + +134 +00:10:10,160 --> 00:10:13,580 +هل جيت شحنة تتضلها أو ماتضلهاش بعتمد على البطارية + +135 +00:10:13,580 --> 00:10:16,520 +دلت موجودة ولا مش موجودة إذا البطارية دلت موجودة + +136 +00:10:16,520 --> 00:10:20,940 +بقول بيدله بيه ثابت إذا البطارية انجامك بقول كيو + +137 +00:10:20,940 --> 00:10:25,160 +بتتغيرش واضح شباب؟ هترك كذلك المثال السابق هنشوف + +138 +00:10:25,160 --> 00:10:29,100 +المثال بيقول ا parallel plate capacitor has a + +139 +00:10:29,100 --> 00:10:35,750 +plate separation D and plate area A تمامانتشارج + +140 +00:10:35,750 --> 00:10:38,930 +متاليكسلاب متاليكسلاب مش dielectric شباب + +141 +00:10:38,930 --> 00:10:43,810 +متاليكسلاب يعني كوندكتر و thickness E is inserted + +142 +00:10:43,810 --> 00:10:49,870 +midway between the blades يعني هيك الكبسطرا الأصلي + +143 +00:10:49,870 --> 00:10:53,450 +اللي هو الأحمر و الأزرق عندي two كوندكتر منهم مادة + +144 +00:10:53,450 --> 00:10:57,270 +عازلة و حطيت الصفر هذه صفرة من النحاس شباب مادة + +145 +00:10:57,270 --> 00:11:03,100 +نحاسية النحاس dielectric ولا كوندكتر كوندكترقال لي + +146 +00:11:03,100 --> 00:11:06,640 +جدّيش الساعة الكلية صارت؟ و إيش عامل هذا النحاس + +147 +00:11:06,640 --> 00:11:10,420 +جوا؟ طيب و إيش علاقته بالـ dielectric؟ عشان جاملك + +148 +00:11:10,420 --> 00:11:14,860 +بعد كده يجيب الـ dielectric بيقوللي هذا conductor + +149 +00:11:14,860 --> 00:11:19,900 +هذا conductor طب هذا capacitor و هذا capacitor و + +150 +00:11:19,900 --> 00:11:23,900 +بينهم سيك صارت عبارة عن two conductors او two + +151 +00:11:23,900 --> 00:11:30,500 +capacitors موصلين مع بعض على التوالي صح ولا لأ؟هل + +152 +00:11:30,500 --> 00:11:34,100 +جيت هذا الشباب الفجاني بقدر أقول عبارة عن هيك؟ + +153 +00:11:34,100 --> 00:11:39,260 +والتحتاني عبارة عن هيك؟ الأصفر هذا بقدر أستبدله + +154 +00:11:39,260 --> 00:11:44,100 +بسلك زي هيك؟ اه ممكن دكتور طب هذا التوصيلة شباب لو + +155 +00:11:44,100 --> 00:11:48,980 +عملت هيك وعملت هيك قولت هي C1 وهي C2 كيف المصريين؟ + +156 +00:11:48,980 --> 00:11:56,220 +توالي مش توالي عشان هم فوق بعض لأ هدول توالي طيب + +157 +00:11:56,220 --> 00:11:58,120 +طبعا الواحد يقول الموج الشحنات هدول + +158 +00:12:01,050 --> 00:12:03,930 +بالتأثير بالتأثير صح إذا هدولتوا ال conductor + +159 +00:12:03,930 --> 00:12:06,770 +الموصلين بالظبط زي التوصيل على التوالي اللي انا + +160 +00:12:06,770 --> 00:12:11,610 +قصدتكم من اياهم المرة هذيك كانوا هيك وقلت ووصلتهم + +161 +00:12:11,610 --> 00:12:15,230 +هيك فصار هذي positive نيجاتيف بعدين هذي صارت + +162 +00:12:15,230 --> 00:12:17,790 +negative positive بالتأثير هذي نفس العملية إذا + +163 +00:12:17,790 --> 00:12:21,310 +هدولتوا ال capacitors الموصلين على التوالي ولمّا + +164 +00:12:21,310 --> 00:12:24,610 +أقول على التوالي مش بقول C equivalent بتسوي C1 C2 + +165 +00:12:24,610 --> 00:12:29,410 +على C1 زي C2 طب قالتلي إيش هيجيب C1 قاللي سهلةهذا + +166 +00:12:29,410 --> 00:12:37,810 +بره الـ plate C1 بسوء E Note A على D1 و C2 بسوء E + +167 +00:12:37,810 --> 00:12:42,650 +Note A على D2 فى مشكلة ولا لأ؟ مش هذا بره ال plate + +168 +00:12:42,650 --> 00:12:49,290 +كما ستعرف هل A لهذا و A لهذا نفس الـ A؟ طلع عليها + +169 +00:12:49,290 --> 00:12:54,810 +نفس الـ A طب هل D1 و D2 هى نفسها D هذى؟ كيف بيجيب + +170 +00:12:54,810 --> 00:13:04,780 +D؟نص ال D نقص ايه؟ نص ال D نقص ايه؟ نص ال D نقص + +171 +00:13:04,780 --> 00:13:12,220 +ايه؟ نص ال D نقص ايه؟ نص ال D نقص ايه؟ نص ال D نقص + +172 +00:13:12,220 --> 00:13:22,520 +ايه؟ نص ال D نقص ايه؟ نص ال D نقص ايه؟ نص ال D نقص + +173 +00:13:22,520 --> 00:13:27,880 +ايه؟أيه يا بني من الصفر؟ حطت الصفر و حطت الحصيجي + +174 +00:13:27,880 --> 00:13:31,620 +ده بيقول show that the capacitance of the original + +175 +00:13:31,620 --> 00:13:37,160 +capacitor is unaffected by the insertion of the + +176 +00:13:37,160 --> 00:13:41,480 +metallic slab if the slab is infinitely thin لما + +177 +00:13:41,480 --> 00:13:45,100 +تكون كتير رفيعة الكباسيتر بيظلوا نفسها دي القيمة + +178 +00:13:45,100 --> 00:13:49,360 +طب كيف يدعو ده اعتبرها thin كتير؟ لما يقول الـA + +179 +00:13:49,360 --> 00:13:50,420 +goes to zero + +180 +00:13:54,550 --> 00:13:59,410 +Solution بنقول الـ metal slab الميتل الصفر هذي + +181 +00:13:59,410 --> 00:14:04,050 +Divide the capacitor into two capacitors Hence the + +182 +00:14:04,050 --> 00:14:06,910 +capacitors is equivalent to two capacitors in + +183 +00:14:06,910 --> 00:14:13,900 +seriesEach having a split separation D-A ع 2 + +184 +00:14:32,500 --> 00:14:37,000 +بذال C1 بيتساوى C2 إذا C equivalent بتساوى وصي أما + +185 +00:14:37,000 --> 00:14:39,340 +التفقين أما يكونوا اتنين أربعة وأربعة جديد C + +186 +00:14:39,340 --> 00:14:42,600 +equivalent بتصير اتنين صح ولا لأ؟ لما توكابسترز زي + +187 +00:14:42,600 --> 00:14:46,440 +بعد واتوصلوا على التوالي معناته C equivalent نص لو + +188 +00:14:46,440 --> 00:14:49,700 +واحدة ستة وستة ال equivalent جديش تلاتة تمانية + +189 +00:14:49,700 --> 00:14:52,860 +تمانية أربعة فبالتالي C1 وC2 بتساوى لأنهم نفس ال + +190 +00:14:52,860 --> 00:14:55,940 +days إذا C equivalent بتساوى وصي وعليه طلعناها هذه + +191 +00:14:55,940 --> 00:15:02,860 +قانونها طلعت طبعا واضح يا شبابC بتسوي D نقص A هنا + +192 +00:15:02,860 --> 00:15:07,700 +في اختلاف هجيت لو هادي A goes to zero ايش صح بترجح + +193 +00:15:07,700 --> 00:15:11,480 +هادي ولا لأ هاي المطلوب التاني المطلوب التاني + +194 +00:15:11,480 --> 00:15:19,180 +لحاله مبين تمام حلو letting + +195 +00:15:19,180 --> 00:15:24,900 +A goes to zero in the reverse of part A C بتسوي A + +196 +00:15:24,900 --> 00:15:28,380 +goes to zero طولها تفس القضية طب سؤالي الآن ارجع + +197 +00:15:28,380 --> 00:15:33,110 +انا لنفس الرصمةلو كانت هذه السفرة ضاي electric مش + +198 +00:15:33,110 --> 00:15:41,110 +conductor أكم كبستر قولكم بتصير تلاتة + +199 +00:15:41,110 --> 00:15:48,030 +هاي واحد و هاي اتنين و بصير هذا تالت هذا ليش مش + +200 +00:15:48,030 --> 00:15:50,390 +كبستر لما كان conductor كندركتر ممنوع يكون كبستر + +201 +00:15:50,390 --> 00:15:53,490 +لحاله لإن هو .. لكن لما كان ضاي electric بيقول + +202 +00:15:53,490 --> 00:15:58,270 +يبصي الواقع ان هو هذا وجهه و هذا وجههو بيهم مادة + +203 +00:15:58,270 --> 00:16:02,670 +عازلة لو كانت كفاسر تالت بيصيروا تلعتة لو كانت + +204 +00:16:02,670 --> 00:16:06,870 +مادة عازلة و كيف متواصلين على التواري نفس القضية + +205 +00:16:06,870 --> 00:16:14,070 +هاي مثال أبيلا فيه و وين ال polarization ذاكر لما + +206 +00:16:14,070 --> 00:16:16,410 +جيبنا في النص خلينا على أطراف بيصيروا كأنه فيه + +207 +00:16:16,410 --> 00:16:19,510 +شحنات من جابات مش من التأثير الآن من ال + +208 +00:16:19,510 --> 00:16:22,550 +polarization ال polarization بيصير في شحنات في ال + +209 +00:16:22,550 --> 00:16:27,420 +conductor بيصير من التأثير بيشوف المثالبس هذا مسهل + +210 +00:16:27,420 --> 00:16:31,180 +اكتر بيقول ان عبارة عن ال blade capacitor has a + +211 +00:16:31,180 --> 00:16:36,750 +blade separation Dand a capacitance C0 in the + +212 +00:16:36,750 --> 00:16:39,550 +absence of the dielectric بيقول بدون الخضرة سعته + +213 +00:16:39,550 --> 00:16:43,950 +C0 هذا بدون الخضرة بعد كده what is the capacitance + +214 +00:16:43,950 --> 00:16:47,530 +ايه بيحصل السعة؟ when a slab of dielectric + +215 +00:16:47,530 --> 00:16:51,830 +material of dielectric constants kappa is inserted + +216 +00:16:51,830 --> 00:16:55,590 +between the blades والthickness جالي تلتة D طبعا + +217 +00:16:55,590 --> 00:16:57,670 +انا ماحطهاش فانا سحطه في الطرف فوق ايه كام + +218 +00:16:57,670 --> 00:17:02,110 +capacitance موجود؟ هنا اتنين الخضرة واحد والفاضية + +219 +00:17:02,110 --> 00:17:07,120 +البيضة واحدإذا هدول two capastas كيف هم وصلين؟ ع + +220 +00:17:07,120 --> 00:17:11,580 +التوالي طيب كيف بده يجيبهم؟ هل مقدر أقول الأول + +221 +00:17:11,580 --> 00:17:16,720 +والتاني لهم نفس ال A؟ طلع عليهم هو شو هو ال A؟ + +222 +00:17:16,720 --> 00:17:22,940 +شباب هاي اللي هم هاي ال A نفس ال Dلأ وحد تلت دي + +223 +00:17:22,940 --> 00:17:29,360 +تاني تلت ان دي طيب بقدر اقول ان ال C1 الفجاني + +224 +00:17:29,360 --> 00:17:36,940 +بتساوي epsilon note A على D1 اللي هي تلت ال D ايش + +225 +00:17:36,940 --> 00:17:39,580 +فيه خلال ان هذه ممنوعة تكون epsilon note صراحة + +226 +00:17:39,580 --> 00:17:43,920 +بتضربها في الكعبة لإن هذه epsilon note ايش بتمثل + +227 +00:17:43,920 --> 00:17:47,920 +التطبخنا طب هنا فيه هوا؟ لأ الخط رازنزنيش من المخط + +228 +00:17:47,920 --> 00:17:53,980 +كعبة طب التاني بقولأبسلونوت ده قعبة في أبسلونوت + +229 +00:17:53,980 --> 00:17:58,100 +هدى + +230 +00:17:58,100 --> 00:18:02,160 +بيسموها أبسلونوت قعبة في أبسلونوت هي أبسلونوت + +231 +00:18:02,160 --> 00:18:07,140 +بيحطوها تمام سيتني بيسمو أبسلونوت اي على تلتين دى + +232 +00:18:07,140 --> 00:18:13,240 +خلاص انتهى السؤالبصير هيك احنا بنقول بالزيد بمقدار + +233 +00:18:13,240 --> 00:18:16,740 +كعبة اذا انا بضربها بكعبة بس فكعبة في epsilon نوت + +234 +00:18:16,740 --> 00:18:19,480 +بيسموها epsilon و ال epsilon ها دي لحاله بيسموها + +235 +00:18:19,480 --> 00:18:23,440 +ال diuretic او ال permittivity constant of the + +236 +00:18:23,440 --> 00:18:26,600 +material هديك قلناها epsilon نوت ال permittivity + +237 +00:18:26,600 --> 00:18:30,060 +of free space epsilon بيسموها permittivity of the + +238 +00:18:30,060 --> 00:18:33,920 +material اي كانت ال material the capacitor is + +239 +00:18:33,920 --> 00:18:38,800 +equivalent to two capacitors in seriesEach with + +240 +00:18:38,800 --> 00:18:42,400 +تلعب سي نوت او سي واحد اش عاملة في وجهني كعبة في + +241 +00:18:42,400 --> 00:18:45,520 +ابسلون نوت علشان انا حاطينا الكعبة يا شباب عشان في + +242 +00:18:45,520 --> 00:18:49,200 +ضاء إلكتريك لو في فراغ مايجيش الكعبة للفراغ ترجع + +243 +00:18:49,200 --> 00:18:53,400 +ابسلون نوت طبعا ايه على طول تديه؟ طب و التانية + +244 +00:18:53,400 --> 00:18:58,920 +ابسلون نوت مش كعبة لإن التانية جيبها تحت بواب فراغ + +245 +00:18:59,830 --> 00:19:04,930 +تلتين دى خلاص بقت كده بقول C equivalent واحد على C + +246 +00:19:04,930 --> 00:19:08,090 +بيصيح واحد على C اتنين بطلحها بديب C equivalent + +247 +00:19:08,090 --> 00:19:15,030 +حلو تمام طبعا شباب وقتش بيكون في تواصل على التوازن + +248 +00:19:15,030 --> 00:19:17,970 +مرات في وقت سواء في الكتاب عاملكم الرسمة بهذا + +249 +00:19:17,970 --> 00:19:22,790 +الشكل شباب جاي الهيكة بسطر لها جيبت بقى الهيكة + +250 +00:19:22,790 --> 00:19:26,330 +وانا كيف حاطيته حاطيته هيك المنطقة خدت هيكة عملتها + +251 +00:19:30,410 --> 00:19:35,370 +ملا؟ ماملاهوش جزء طب هدولة كانوا كبستر صاروا؟ برضه + +252 +00:19:35,370 --> 00:19:40,490 +اتنين هاي واحد هذا الأخضر وهذا التاني طيب على + +253 +00:19:40,490 --> 00:19:43,870 +التوازي ولا على التوازي؟ على التوازي صاروا كفش بقى + +254 +00:19:43,870 --> 00:19:47,930 +وكانهم هيك واتوصلوا هيك فهمتوا عليها لإن هم نزلوا + +255 +00:19:47,930 --> 00:19:55,960 +على بعض طيب إيش هو هذه نفس ال area؟نفس ال area نفس + +256 +00:19:55,960 --> 00:19:59,740 +ال D نفس ال D بس هنا ال area بتختلف إذا في النص + +257 +00:19:59,740 --> 00:20:02,260 +بقول نص ال area إذا تلت بقول تلت ال area حسب إيش + +258 +00:20:02,260 --> 00:20:05,940 +هو بيقوللي إذا لما يكون هيك مره أكتر في سؤال في + +259 +00:20:05,940 --> 00:20:10,780 +الكتاب هيك عاملهي كابة واحد هى كابة اتنين هى كابة + +260 +00:20:10,780 --> 00:20:15,300 +تلاتة ايه كبستر هدول تلاتة كده بتحلهم بيقول تنتين + +261 +00:20:15,300 --> 00:20:20,280 +على التوازي الملموعة مع هذا توازي هيك بنحله لما هو + +262 +00:20:20,280 --> 00:20:22,780 +بتصير عملي التوازي توازي اذا معناته اتضايق + +263 +00:20:22,780 --> 00:20:26,320 +electric بيروح بيجسمل الكبستر لعدد كبستر حسب + +264 +00:20:26,320 --> 00:20:29,940 +المارتخال هو باحتلها لكن لما يكون احتلها كلها + +265 +00:20:29,940 --> 00:20:33,200 +بيقول مادلش لكبستر واحد مافيش غيره وكل ساعته + +266 +00:20:33,200 --> 00:20:34,360 +اتغيرت تمام + +267 +00:20:44,310 --> 00:20:49,130 +عشان التوالي والتوازي ما خيش حقه حاولت احل سؤال 27 + +268 +00:20:49,130 --> 00:20:52,550 +و28 في الكتاب طبعا شباب احنا امتحاننا يوم التلاتة + +269 +00:20:52,550 --> 00:20:55,990 +من يوم التلاتة احل اعمالها مراجعة المحاضرة في + +270 +00:20:55,990 --> 00:21:01,410 +النهاية طالب عشان يجيبي علامة الحلوة اللي هو بدوية + +271 +00:21:01,410 --> 00:21:03,630 +احنا عارفين امتحاننا مقال مخصص من إلى جزء اين + +272 +00:21:03,630 --> 00:21:07,890 +خمساشر سؤال multiple choice وفي أربع سؤال حالي + +273 +00:21:07,890 --> 00:21:10,490 +طبعا ال quote ذات بتفيدك في multiple choices ولا + +274 +00:21:10,490 --> 00:21:16,350 +لألكن الحل الأسئلة كيف تتدرب عليها فهو كل chapter + +275 +00:21:16,350 --> 00:21:19,370 +بديتكم أسئلة تحلوها إذا حلت تمانين في المية على + +276 +00:21:19,370 --> 00:21:22,870 +الأقل بتضمن أنه تحل كل الأسئلة على الأقل تمانين + +277 +00:21:22,870 --> 00:21:25,570 +يعني في بعض الأسئلة شوية متقدمة ما .. ما ننجعوا + +278 +00:21:25,570 --> 00:21:29,410 +فيها مرة طبعا بتأتمت لكن في الآخر لازم الواحد يرقل + +279 +00:21:29,410 --> 00:21:32,330 +الأسئلة اللي بديكم إياها في بداية كل chapter وهي + +280 +00:21:32,330 --> 00:21:34,950 +جزء من الأسئلة الكلية تبع الكتاب المفروض تحلوا + +281 +00:21:34,950 --> 00:21:38,750 +فعلها وتعرفوا تحلوها على كل أحوالهذا سؤالين من + +282 +00:21:38,750 --> 00:21:41,610 +الأسئلة الـ recommended اللي أنا أديتكم إياها + +283 +00:21:41,610 --> 00:21:46,110 +بيقول find the equivalent capacitance between A + +284 +00:21:46,110 --> 00:21:51,590 +and B for the combination shown ومديك C1 قداش وC2 + +285 +00:21:51,590 --> 00:21:56,650 +قداش وC3 قداش السؤال اللي وراه له 28 مش بيقول if + +286 +00:21:56,650 --> 00:22:00,350 +DAB بالساوية 60 volt إذا كان فرق الجهد بين A وB + +287 +00:22:00,350 --> 00:22:05,150 +عدي مديكم الرسمة 60 volt for the charge on C3 هي + +288 +00:22:05,150 --> 00:22:10,950 +الرسمة شبابهذه a و b وهذه c1 وهذه c3 وهذه c2 وهذه + +289 +00:22:10,950 --> 00:22:17,040 +c12 وهذه c2بيقولي بين A و B بيديه C equivalent + +290 +00:22:17,040 --> 00:22:20,740 +يعني واحد تمين تلاتة اربع خمسة ست سنة Capacitors + +291 +00:22:20,740 --> 00:22:23,800 +هدول سبعة Capacitors دلّا مجّص فيهم لما صيروا + +292 +00:22:23,800 --> 00:22:27,340 +كمستر واحد هذا يعتبر C equivalent بعد كده بيقولي + +293 +00:22:27,340 --> 00:22:30,200 +لو كان فرق جوهر بين A و B ستين Volt هذا يجديش + +294 +00:22:30,200 --> 00:22:33,900 +عليها شحنات طبعا هذا مجربه لكن ممكن يقولي اوي + +295 +00:22:33,900 --> 00:22:37,580 +الشحنات على كل Capacitors هذا جديش عليه وهذا جديش + +296 +00:22:37,580 --> 00:22:41,420 +عليه وهذا جديش عليه وهذا كذالنجي نشوف كيف بدنا + +297 +00:22:41,420 --> 00:22:44,100 +نوصل انا جيبت السؤال هذا لان و مرات كنا نجيبه في + +298 +00:22:44,100 --> 00:22:47,800 +امتحان و الطالب مايكونش مركز يطلع على رأسه الجوية + +299 +00:22:47,800 --> 00:22:52,000 +الوردية محله على رأسها يعمل هيك فوق بعد برايل و + +300 +00:22:52,000 --> 00:22:54,700 +يعمل هيك و يقول برايل و يطلع الجوية الوردية مثل + +301 +00:22:54,700 --> 00:22:58,480 +الامتحان حالتها برايل ييجي بعد ما يستمر الدرجة بلا + +302 +00:22:58,480 --> 00:23:07,670 +جهزيه برايل هدول؟ لأتعرفين عليه يا شباب؟ هدول براي + +303 +00:23:07,670 --> 00:23:10,590 +اللي بقى .. هادي براي ايه؟ السنة واحدة واحدة هدول + +304 +00:23:10,590 --> 00:23:13,710 +series تطلع عشان .. كيف بدي احكم عليه انه توازي و + +305 +00:23:13,710 --> 00:23:17,750 +لا مش توازي؟ احنا وجوهنا شرط التوازي تساوي الجهود + +306 +00:23:17,750 --> 00:23:21,210 +كيف بدي احكم عليه انه هذه الجهود متساوية و لا لأ؟ + +307 +00:23:21,210 --> 00:23:25,490 +بقول السهلة انا عندي قاعدة معروفة كل two + +308 +00:23:25,490 --> 00:23:29,070 +conductors بينهم سلك جهدهم واحد و لا لأمظبوط ولا + +309 +00:23:29,070 --> 00:23:33,750 +لأ؟ طيب انا بقول طب هدوش جهدهم واحد بقول اه هده و + +310 +00:23:33,750 --> 00:23:37,770 +هده جهدهم واحد بس هده و هده جهدهم واحد لأ كيف اعرف + +311 +00:23:37,770 --> 00:23:41,750 +شباب عشان برضه تجرب ال .. ال .. ال resistors؟ + +312 +00:23:41,750 --> 00:23:44,890 +بلاكي مشي من plate لplate ده طول ما انت ماشي ممرتش + +313 +00:23:44,890 --> 00:23:48,990 +لا ع كبستر ولا ع بطارية ولا ع بقاوة ولا ع ملافظة + +314 +00:23:48,990 --> 00:23:51,700 +بيقولوا اللي هو نفس الجهدهتقول انا ماشي من هال + +315 +00:23:51,700 --> 00:23:53,920 +لهان ماريت على حاجة من هدول اللي اشتغلتها و ذكرته + +316 +00:23:53,920 --> 00:23:57,280 +اللي هو نفس الجهود فبيلمشولي من هال لهان و ماتمروش + +317 +00:23:57,280 --> 00:24:00,760 +ولا على حاجة في إمكانية؟ ولا ممكن يعني الناس يمشي + +318 +00:24:00,760 --> 00:24:03,760 +في الطريق هذه هي فيه كبستر يمشي في الطريق هذه فيه + +319 +00:24:03,760 --> 00:24:06,760 +two kbusters مظبوط ولا لأ إذا مافيش إمكانية إذا + +320 +00:24:06,760 --> 00:24:09,660 +ماقدرش أقول هدول اللي هو نفس الجهود مزايا هدول + +321 +00:24:09,660 --> 00:24:12,420 +اللي هو مش نفس الجهود إذا ماقدرش أقول V1 بيساوي V2 + +322 +00:24:12,420 --> 00:24:15,660 +وهذا شرط التوازي إذا هدول مش متواصلة على التوازي + +323 +00:24:16,700 --> 00:24:20,260 +لكن طبعا واضح وإن كان غسني بالراس محطم فوق بعض + +324 +00:24:20,260 --> 00:24:23,760 +هدول اللي حاطموا جانب و بعض هي هي لو انا يبت هذا + +325 +00:24:23,760 --> 00:24:25,960 +السلك ما هو انتوا لما تكونوا في المعمل بقولكم + +326 +00:24:25,960 --> 00:24:29,000 +انتوا لما تنغسوا توالي توازن بتكون هيك الصبطة رايح + +327 +00:24:29,000 --> 00:24:31,980 +هيك بالظبط ولا السلك رايح هيك ومتنم هيك ومين هذا + +328 +00:24:31,980 --> 00:24:35,320 +السلك متنم اعملوه هيك بصف .. بصفة عادي هي نفس + +329 +00:24:35,320 --> 00:24:39,190 +الصفة هدول توالي وهذا اعملوه هنا يصير هناهدول + +330 +00:24:39,190 --> 00:24:43,330 +توالي شباب لإن طلع لو طيار دخل هنا هو نفسه بيجي + +331 +00:24:43,330 --> 00:24:46,230 +هنا ولا لأ؟ هو نفسه إذا أنا هاد الشحنات نفسها + +332 +00:24:46,230 --> 00:24:51,810 +تمام؟ إذا معناته كيف بدي أقول؟ بدي أقول هدول كيف؟ + +333 +00:24:51,810 --> 00:24:57,890 +توالي توالي و هدول؟ توالي برضه توالي طب و هدول؟ + +334 +00:24:57,890 --> 00:25:01,270 +توالي اتطلعوا يا شباب شرط التوازي أنا ماشي من هنا + +335 +00:25:01,270 --> 00:25:05,800 +ل هنا ماشيت ولا ماماشيتش؟ مريت بحاجة؟طب مخلصتش بـ + +336 +00:25:05,800 --> 00:25:08,660 +3 اجراء لسه لان انا بتعامل مع فاق لغوط طب هين + +337 +00:25:08,660 --> 00:25:14,840 +مشيك؟ في مشكلة؟ اذا شرط التوازي اتحقق تحت فبقول + +338 +00:25:14,840 --> 00:25:23,700 +هدول مالهم براوين حلو series 1 على c1 في c2 اتنين + +339 +00:25:23,700 --> 00:25:25,880 +في .. عشرة في اتنين ماتطلعش + +340 +00:25:28,890 --> 00:25:37,630 +عشرين عقبعش و هد عشرين عقبعش بطلحها طبعا هد C2 وC2 + +341 +00:25:37,630 --> 00:25:39,750 +عشرين فبتطلع بهذا الشكل + +342 +00:25:43,940 --> 00:25:47,680 +و هذه هيك هذه عشرين عطنعة تلاتة point تلاتة وهذه + +343 +00:25:47,680 --> 00:25:52,500 +تلاتة point تلاتة وهذه عشرين عشرة وعشرة ع التوازي + +344 +00:25:52,500 --> 00:25:56,280 +في مشكلة يا شباب؟ لكن عملت طيب التلاتة اللي فوق + +345 +00:25:56,280 --> 00:26:02,460 +كيف مصلين؟ توازي فبقول هدول التلاتة كلهم توازي + +346 +00:26:05,050 --> 00:26:13,410 +بعمل هيك توازي يعني اجمعهم 3.3 و 3.3 6.6 و C3 2 + +347 +00:26:13,410 --> 00:26:23,370 +إلى 8.6 و 21كيف تقلبتين فوق بعض؟ توالي توالي + +348 +00:26:23,370 --> 00:26:26,990 +بضربهم فوق بعض و بجسمهم و تطلع ال end لما عملتم + +349 +00:26:26,990 --> 00:26:31,950 +تقريبا إجابة ستة بال calculator إذا انجد دي C + +350 +00:26:31,950 --> 00:26:36,770 +equivalent ستة مايكروفارات صح ولا لأ؟ C equivalent + +351 +00:26:36,770 --> 00:26:40,930 +بتساوي ستة مايكروفارات طبعا أنا في الانتحان هذا مش + +352 +00:26:40,930 --> 00:26:44,530 +داخل في الانتحان الأول بكفي على الرأس ما تتعاملوا + +353 +00:26:44,530 --> 00:26:47,320 +معاه من دون ما تحلوا أي حاجة بكفيإذا الإجابات + +354 +00:26:47,320 --> 00:26:50,040 +صحيحة مابدوبولش إيش القوانين اللي استخدمتوها بس + +355 +00:26:50,040 --> 00:26:53,220 +أنا بحب مرات الواحد بخربط في الحسابات أو عشان أنا + +356 +00:26:53,220 --> 00:26:57,000 +بحاسبش عن الحسابات بحب فوق الطالب و بحلسه زي هذه + +357 +00:26:57,000 --> 00:27:00,640 +بيقوللي C equivalent في ال series بالساوي C1 على + +358 +00:27:00,640 --> 00:27:05,260 +C2 على C1 زي C2 بيكتبلي في البرادل C equivalent + +359 +00:27:05,260 --> 00:27:09,540 +بالساوي C1 زي C2 بس تعملليهم هيك و حطهم و يرميبحيث + +360 +00:27:09,540 --> 00:27:13,960 +انه لو غلط في الحساب مقسملهش اشي مضطر لو حد بيخبط + +361 +00:27:13,960 --> 00:27:17,820 +مثلا نفطر الدبال اتنين في تلاته احطها خمسة هذه + +362 +00:27:17,820 --> 00:27:21,000 +غلطة شاية دايما بس اه هو انا ماتفرجش معايا بس + +363 +00:27:21,000 --> 00:27:25,800 +بتتأكد انه اشتغل على القوانين الصح ماعكسهمشطبعا لو + +364 +00:27:25,800 --> 00:27:29,400 +صح الحل وماحطش القوانين مدورش عليه .. مديش + +365 +00:27:29,400 --> 00:27:32,120 +القوانين .. لكن لو حل غلط و هدول القوانين صح برضه + +366 +00:27:32,120 --> 00:27:35,720 +حطوا علامة كاملة .. فاهمين؟ طبعا كيف الحل صح .. إن + +367 +00:27:35,720 --> 00:27:39,500 +الأصل هدول حكم عليهم صح .. هذا الاصل .. يعني إيش + +368 +00:27:39,500 --> 00:27:41,920 +هو ال series و إيش هو ال variable هدول كتير مهمين + +369 +00:27:41,920 --> 00:27:45,700 +.. لكن انا طلعت واحد حطلي هنا variable بكمليش .. + +370 +00:27:45,700 --> 00:27:49,980 +لو حطلي هنا variable بكمليش .. أو والله حطلي هدول + +371 +00:27:49,980 --> 00:27:53,640 +series خلاص .. خلط مركزي هذا .. يعني طبعا .. لكن + +372 +00:27:53,640 --> 00:27:59,580 +..والجواب هنا غلط وعارف القوانين صح بدي علامة + +373 +00:27:59,580 --> 00:28:03,180 +كاملة فهو أهم الجواب فاهمين عليها أما الحكم على أن + +374 +00:28:03,180 --> 00:28:05,200 +parallel ولا series هي شغل مركزية ممنوع حد يغلط + +375 +00:28:05,200 --> 00:28:08,600 +فيها ممنوع شغلات تكون لا هي parallel ولا هي series + +376 +00:28:08,600 --> 00:28:10,940 +وحد يقول هي هذي series او هذي parallel واحنا + +377 +00:28:10,940 --> 00:28:13,380 +عارفين أنه في شغلات لا هي بتكون لا هي series ولا + +378 +00:28:13,380 --> 00:28:16,140 +هي parallel فبننتبه وطبعا في المتحالة ليه يكونش + +379 +00:28:16,140 --> 00:28:19,660 +سؤال سهل يعني مصفّل جنبها زي ما تعرفين لازم يكون + +380 +00:28:19,660 --> 00:28:23,360 +فيه تفكير وبالتالي في بعض الرسلة في الكتاب موجودة + +381 +00:28:23,360 --> 00:28:28,210 +كيف يتحلل الآن العكس؟بيقول لي إذا كانت VAB بسوء 60 + +382 +00:28:28,210 --> 00:28:32,550 +Volt، مجددش يتشحن اللي على هدا؟ طب عشان هدي + +383 +00:28:32,550 --> 00:28:35,790 +بشحنته، بدي أعرف جهده، صح ولا لأ؟ إذا عارفش جهده + +384 +00:28:35,790 --> 00:28:39,410 +هدا، بقى عارفش بشحنته، بصبوط؟ فهو إيش مديني؟ مديني + +385 +00:28:39,410 --> 00:28:42,750 +جهده؟ هل هذا الجهد هو نفسه تبقى الجهد هذا؟ عشان + +386 +00:28:42,750 --> 00:28:45,730 +كده مرات لما أحط السؤال ويطالب برضه مش مركزي، + +387 +00:28:45,730 --> 00:28:47,850 +مقولي إيش بده هدا؟ يا ورا دي مثلة للسؤال، مديني + +388 +00:28:47,850 --> 00:28:51,650 +جهد و بده Q طب هاي غلط، ستين فيها دي، تلاتة، إذا + +389 +00:28:51,650 --> 00:28:59,310 +الـ120لكن هل الجهود هنا بالساعة ستين فول؟ لأ كيب + +390 +00:28:59,310 --> 00:29:02,010 +ده حل .. طبعا الشبكات بيحلها في الاسلات زي هذه .. + +391 +00:29:02,010 --> 00:29:08,030 +بيقول هذه VAB بقدر أقول عنها V equivalent VAB + +392 +00:29:08,030 --> 00:29:11,430 +equivalent ولا لأ؟ اه طيب الكون اللي كان عندي + +393 +00:29:11,430 --> 00:29:16,630 +بينها دي صح ولا لأ؟ إذا بيبدأ من هذه بيبدأي + +394 +00:29:16,630 --> 00:29:21,670 +بالشحنة الكلية بقول الشحنة الكلية بعرف Cالكلية ولا + +395 +00:29:21,670 --> 00:29:27,670 +لا؟ مش عرفتها؟ 6 في 60 طلعتها هذه 60 volt اذا 360 + +396 +00:29:27,670 --> 00:29:33,270 +micro column ولا لا؟ هذه طلعتها بعدين بتطلع اذا + +397 +00:29:33,270 --> 00:29:37,770 +VEP هي الجهد الكلي الجهد الكلي يعني ال equivalent + +398 +00:29:37,770 --> 00:29:42,570 +بروح الساعة الكلية بقول جيب Q equivalent بجيبها + +399 +00:29:42,570 --> 00:29:46,590 +بقولي طب هذا اخر واحد من وين جه؟ هو equivalent + +400 +00:29:46,590 --> 00:29:51,800 +لمين؟ لكن كيف بتوصلين؟توالي .. ايه شرط التوالي؟ + +401 +00:29:51,800 --> 00:29:58,300 +تساوي الشحنات .. طب هذه 360 .. فهذه جد ايه؟ 360 .. + +402 +00:29:58,300 --> 00:30:02,740 +و هذه بقري 360 .. بقول اذا .. اذا انا بعرف توالي و + +403 +00:30:02,740 --> 00:30:05,900 +توازي و بعرف ايش بأستغل .. بقول هذه 360 .. وهذه + +404 +00:30:05,900 --> 00:30:08,600 +360 .. اذا هذه من وين شبهت؟ استغرقتي؟ لأ .. + +405 +00:30:08,600 --> 00:30:12,680 +ماعرفهم توالي .. و بعرف شرط التوالي .. هطلقهم .. + +406 +00:30:12,680 --> 00:30:16,980 +جالي حلو ..هذه هي نفسها هذه ولا لا؟ كده الشحنات + +407 +00:30:16,980 --> 00:30:22,300 +هذه؟ برائل + +408 +00:30:22,300 --> 00:30:27,240 +.. اي شرط البرائل؟ تساوي الجهود .. جيب الجهود .. + +409 +00:30:27,240 --> 00:30:31,880 +بقدر اجيب الجهود لهذا؟ اه .. بيساوي هذه على هذه .. + +410 +00:30:31,880 --> 00:30:35,080 +ولا لا؟ بس الجهود بيساوي كيلو على سي؟ اذا عرفش + +411 +00:30:35,080 --> 00:30:38,860 +جهود هذه .. كده جهود هذه؟ و هذه؟ اذا جهود هذه .. + +412 +00:30:38,860 --> 00:30:44,210 +اه .. هذه هي نفسها هذه ولا لا؟ نحل السؤالطبعا بقول + +413 +00:30:44,210 --> 00:30:49,850 +عشان انهم طلعوا تيازي بدي جود جبت جود طلعت 42 volt + +414 +00:30:49,850 --> 00:30:55,950 +جسمت 360 على 8.6 طلعت 42 volt كل زرقه هجيت ويانته + +415 +00:30:55,950 --> 00:31:00,630 +كدش هذى طبعا هذى 42 و 42 بس انا مابديش يهو انه بدي + +416 +00:31:00,630 --> 00:31:05,090 +هو هذى انا عايز بحرصه على الكتاب يعنى طب هذى جود + +417 +00:31:05,090 --> 00:31:08,850 +انا عرفه و ساعتها Z3 انا عرفت بقدر اجيب شحنتها ولا + +418 +00:31:08,850 --> 00:31:16,690 +لأ هذى شحنتهاطب هل هذه هي نفسها دي؟ لأ لأ لكن هل + +419 +00:31:16,690 --> 00:31:19,970 +ال 42 هي نفسها دي؟ لأ طبعا بضرب 42 في 3.3 بطلع + +420 +00:31:19,970 --> 00:31:25,250 +الجواب صح ولا لأ؟ و هذه 42 في 3.3 بطلع الجواب صح؟ + +421 +00:31:25,250 --> 00:31:30,010 +هنا .. طب هجيت المداجي أقول هذه عارفة جهد .. شحنة + +422 +00:31:30,010 --> 00:31:33,170 +تهان بكون نفسها اليهان و نفس اليهان ولا لأ؟ او + +423 +00:31:33,170 --> 00:31:36,750 +انتوازن .. توارث و الشحنة اليهان هي نفسها دي و + +424 +00:31:36,750 --> 00:31:40,800 +نفسها اليهان؟ بكون دي بتكل الشحناتإذا عرفت ما هي + +425 +00:31:40,800 --> 00:31:46,880 +تلاتة بين تلاتة في 42 ستة + +426 +00:31:46,880 --> 00:31:55,860 +اتناش ستة تمانية تلاتة واحد طلعت اتنين واربعين + +427 +00:31:55,860 --> 00:32:01,500 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +428 +00:32:01,500 --> 00:32:01,880 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +429 +00:32:01,880 --> 00:32:01,980 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +430 +00:32:01,980 --> 00:32:02,020 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +431 +00:32:02,020 --> 00:32:02,120 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +432 +00:32:02,120 --> 00:32:07,520 +تلاتة تلاتة تلاتة تلات + +433 +00:32:11,290 --> 00:32:20,250 +أه 138.6 هدي جدي الشباب برضه 138.6 وهدي انا عرفته + +434 +00:32:20,250 --> 00:32:22,910 +هدي انا عرفته هدي انا عرفته هدي كيف بدي اجيب هدي و + +435 +00:32:22,910 --> 00:32:29,730 +هدي هدول متواصلة على التوازي بدي اعرف جودهوهذه هي + +436 +00:32:29,730 --> 00:32:33,850 +شحنتها وهي سلطتها تجيب الزغل بيقول هو نفس الجهد + +437 +00:32:33,850 --> 00:32:36,270 +اللي هام لو هو نفس الجهد اللي هام بقدر اجيب الشحنة + +438 +00:32:36,270 --> 00:32:41,010 +اللي هام و بقدر اجيب الشحنة اللي هاد واضح شباب؟ + +439 +00:32:41,010 --> 00:32:45,610 +اذا الأسئلة غالبا بتكون بيقول كدي بيجيب C + +440 +00:32:45,610 --> 00:32:50,010 +equivalent غالبا بيقولك جيبك يو على احد المكثفات + +441 +00:32:50,010 --> 00:32:52,950 +وما زاد انك تجيبك يو على احد المكثفات غالبا بلزمك + +442 +00:32:52,950 --> 00:32:56,190 +C equivalent او الاقل وانت ماشي تعرف التواريه + +443 +00:32:56,190 --> 00:32:59,580 +وتعرف التوازيحكفالدكتور في الامتحان ممكن نكتب + +444 +00:32:59,580 --> 00:33:02,800 +الخطوات اللى هو اللى .. اللى بدأنا .. لأ ع الرسمة + +445 +00:33:02,800 --> 00:33:07,560 +بس ع الرسمة بس ع الرسمة زى منعان انا مش .. انت مش + +446 +00:33:07,560 --> 00:33:10,360 +أحسن منه ولا انا أحسن منك زى منعان ماني أعمل زيه + +447 +00:33:10,360 --> 00:33:14,180 +تمام؟ يعني انا كل .. كل حل كان ع الرسمة بدون احط + +448 +00:33:14,180 --> 00:33:17,950 +قوارب ولا حاجةخلاص طبعا إذا أنا مازال حاطيت توالي + +449 +00:33:17,950 --> 00:33:22,490 +توازي بقدر أتبعك أهم حاجة يا شباب الحكاية هدول ال + +450 +00:33:22,490 --> 00:33:25,170 +series و ال parallel تكون أنت حتمت عليهم صح و + +451 +00:33:25,170 --> 00:33:29,490 +تماشي خلاص أنا مقدر أتبعك في الآخر مديش تحطلي ولا + +452 +00:33:29,490 --> 00:33:32,690 +قانون هدول إذا حطتها في مخك ومانفتش حاجة ده ماني + +453 +00:33:32,690 --> 00:33:36,810 +أشيها و كمان لكن أحطهم أحصلك أمان إلك لإنك لو خربت + +454 +00:33:36,810 --> 00:33:41,030 +في الحساب بسامحكتمام؟ لأ صديقي الأمان إليك مش أمان + +455 +00:33:41,030 --> 00:33:45,270 +إليك أنا حافظهم و بقدر أطبعك للآخر بس احكملي على + +456 +00:33:45,270 --> 00:33:53,690 +التوازي و التوازي صح شباب واضح؟ هحكي من A ل B لو + +457 +00:33:53,690 --> 00:33:59,050 +ال C2 و ال C2 هاي انا و واحدة ان هي ال C2 و ال C2 + +458 +00:33:59,050 --> 00:34:04,370 +البلد هدول؟ طيب و قلنا ان الجمهور هو نفسهم طبع ال + +459 +00:34:04,370 --> 00:34:10,210 +C2 جمعناهم على اللي فوق ال C2ال EAB مالو مش جاعب + +460 +00:34:10,210 --> 00:34:16,010 +هدول .. بيزاوش في يورو .. هالجمهد هذي هو نفسه + +461 +00:34:16,010 --> 00:34:20,950 +هالجمهد؟ مجموح .. مجموح ما هو نفسه ال EAB؟ هدور + +462 +00:34:20,950 --> 00:34:28,230 +تاني من جمهد مجموح هم EAB؟ مجموح + +463 +00:34:28,230 --> 00:34:32,490 +هدول .. جمهد ستين .. يعني جمهد هد و جمهد هد .. + +464 +00:34:32,490 --> 00:34:38,900 +وقولك هد مديش جهده .. و انا مغمّططمن طعش .. طمن + +465 +00:34:38,900 --> 00:34:44,620 +طعش .. طمن + +466 +00:34:44,620 --> 00:34:54,580 +طعش .. طمن طعش .. طمن طعش .. طمن طعش .. طمن طعش + +467 +00:34:54,580 --> 00:34:58,060 +.. طمن طعش .. طمن طعش .. + +468 +00:35:01,850 --> 00:35:06,390 +والثاني هو Gold لأن هذه كيلو اربعين طب أطلعلها + +469 +00:35:06,390 --> 00:35:12,230 +فإذا كانت 18 جيه ده أعرفها لدرجة سحنتها أعرفها طب + +470 +00:35:12,230 --> 00:35:19,030 +هذي كده؟18 قطعا خي 18 بول كم يوم يوم انا بجيبها .. + +471 +00:35:19,030 --> 00:35:27,530 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +472 +00:35:27,530 --> 00:35:32,150 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +473 +00:35:32,150 --> 00:35:32,290 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +474 +00:35:32,290 --> 00:35:32,610 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +475 +00:35:32,610 --> 00:35:32,610 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +476 +00:35:32,610 --> 00:35:32,650 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +477 +00:35:32,650 --> 00:35:32,650 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +478 +00:35:32,650 --> 00:35:32,650 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +479 +00:35:32,650 --> 00:35:32,650 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +480 +00:35:32,650 --> 00:35:36,230 +18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول .. + +481 +00:35:38,950 --> 00:35:43,250 +في أي كيوب أقدر أجيبها بالمعكوس بقى دي ليش + +482 +00:35:43,250 --> 00:35:48,250 +بالمعكوس لأنه غالبا بدين الجهد الكلي عشان كده لازم + +483 +00:35:48,250 --> 00:35:52,070 +أروح ل C equivalent في الآخر و أجيب قد أجيبها و + +484 +00:35:52,070 --> 00:35:55,190 +أرجع أرجوها لإن هذا أصلا أنا اللي جبته عارف أصلا + +485 +00:35:55,190 --> 00:35:59,910 +من وين إجا جا من نتيجة التوصيلة توالي أو توادي + +486 +00:36:00,000 --> 00:36:03,760 +عارفها و التوازي شرطه عارفه و التوازي انا شرطه + +487 +00:36:03,760 --> 00:36:07,260 +عارفه بضلني ماشي لما اجيب المطاليب اللي هو + +488 +00:36:07,260 --> 00:36:10,560 +بدهوياها فاغلب الأسئلة في الامتحان او في الكتاب + +489 +00:36:10,560 --> 00:36:15,480 +بتكون مديكي جهود بقولك اوجد الشحنات عندك لو طلعته + +490 +00:36:15,480 --> 00:36:22,680 +على الشغلات هذه بتكون موجودة تمام هيك بيكون احنا + +491 +00:36:22,680 --> 00:36:30,100 +أنجزنا الشابتر الرابع اكوزه هخليه بعد امتحانعشان + +492 +00:36:30,100 --> 00:36:33,560 +امتحان طبعا امتحاني لو امتحان كيميا او calculus + +493 +00:36:33,560 --> 00:36:37,200 +بهمنيش طبعا امتحان فيزا في الأخر امتحاننا فبالتالي + +494 +00:36:37,200 --> 00:36:41,680 +مش هنبدأ اليوم طبعا ولا بكرا هنبدأ يوم التلاتة ان + +495 +00:36:41,680 --> 00:36:44,300 +شاء الله الساعة تمانية في الليل بعد ما تكونوا + +496 +00:36:44,300 --> 00:36:46,880 +ارتاحتوا و نسيتوا الامتحان يعني نمتوا و صحيتوا + +497 +00:36:46,880 --> 00:36:49,420 +طبعا هو لما نفتح يوم التلاتة في الليل مش بدرورة + +498 +00:36:49,420 --> 00:36:53,480 +تامتحنوا يوم التلاتة في الليل يعني معاكم حد هضلني + +499 +00:36:53,480 --> 00:37:00,250 +مديكم وجه يوم الأحدالليلة بيخلص الساعة اتناش الا + +500 +00:37:00,250 --> 00:37:09,050 +خمسة غيرت ال quiz مغيرتش انا المهم مفتوح الليلة + +501 +00:37:09,050 --> 00:37:16,230 +اليوم الساعة اتناش الا خمسة شغل تاني شباب بتاعة + +502 +00:37:16,230 --> 00:37:16,970 +المحاضرة دي + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/eWbOXmuvg0Y.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/eWbOXmuvg0Y.srt new file mode 100644 index 0000000000000000000000000000000000000000..1707c9b5151400989abc094453dc416c253888f5 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/eWbOXmuvg0Y.srt @@ -0,0 +1,2310 @@ +1 +00:00:09,460 --> 00:00:16,220 +تمام بعد اسم الله الرحمن الرحيم نكمل اللي أخذناه + +2 +00:00:16,220 --> 00:00:23,860 +مع بداية هذه الدائرة للعاشر هو أنه قاعدة فرضًا بتشتغل + +3 +00:00:23,860 --> 00:00:28,940 +أثناء فتح و أغلاق أي مفتاح في الدائرة لأن في هذه + +4 +00:00:28,940 --> 00:00:33,920 +اللحظات ساعة ما نغلق الدائرة بيتغير التيار from + +5 +00:00:33,920 --> 00:00:38,320 +zero to a specific value so we have increasing in + +6 +00:00:38,320 --> 00:00:43,850 +current and increasing in magnetic flux نفس الظاهرة + +7 +00:00:43,850 --> 00:00:48,730 +بتطلع لما نفتح المفتاح لما في هذه الحالة the + +8 +00:00:48,730 --> 00:00:52,990 +current and so the magnetic flux decreasing from + +9 +00:00:52,990 --> 00:00:58,170 +specific value to zero مزال صار في change of + +10 +00:00:58,170 --> 00:01:02,230 +magnetic flux بحسب قانون فرداي بيقول في عندي + +11 +00:01:02,230 --> 00:01:08,280 +induced electric current induce current لز جال هذا + +12 +00:01:08,280 --> 00:01:12,120 +الـ current دائما بيعمل معاكسة عشان مبدأ ال + +13 +00:01:12,120 --> 00:01:17,580 +conservation of energy يظل محفظ ومحافظ عليه الآن + +14 +00:01:17,580 --> 00:01:21,880 +كتطبيق عشان نشوف بالظبط أيش اللي صار وكيف بتصير + +15 +00:01:21,880 --> 00:01:27,440 +عملية التغيير وكيف المعادلات الرياضية بتربط عملية + +16 +00:01:27,440 --> 00:01:32,400 +الحث الذاتي الحث الذاتي قولنا أي سلك له حث لكن + +17 +00:01:32,400 --> 00:01:37,400 +السلك اللي له حث معقول هو الـ coil واتفقنا أنه + +18 +00:01:37,400 --> 00:01:43,540 +هنمثل أي coil من يوم ما طالع برمز السولينويد هو + +19 +00:01:43,540 --> 00:01:49,160 +هذا الـ هو الـ inductance تبع أي coil أو تبع أي + +20 +00:01:49,160 --> 00:01:53,000 +inductor اللي وحدة تبعته هنري وهي volt second على + +21 +00:01:53,000 --> 00:01:56,320 +امبير في عندي الدائرة اللي أنتو شايفينها أنا عندي + +22 +00:01:56,320 --> 00:01:59,120 +الدائرة في عندي حالتين لها لا بشبكها مع البطارية + +23 +00:01:59,120 --> 00:02:02,880 +لا بفكها من البطارية إذا أنا شبكتها عن رقم واحد + +24 +00:02:03,590 --> 00:02:07,970 +بيصير البطارية مشبوكة بيمر تيار من البطارية الأصل + +25 +00:02:07,970 --> 00:02:13,430 +بيمر تيار حسب ما أخذنا المرة الماضية هذا التيار + +26 +00:02:13,430 --> 00:02:19,690 +بيزيد للحظات معينة بفعل وجود الملف بعد كده + +27 +00:02:19,690 --> 00:02:25,740 +التيار بيصل إلى قيمته العظمى تمام لما آجي المفتاح + +28 +00:02:25,740 --> 00:02:28,580 +بعد ما يكون هنا بيقعه ويحطه من هنا بيجي فوق + +29 +00:02:28,580 --> 00:02:33,240 +البطارية التيار المفروض يكون لزيرو يروح برضه ذهابه + +30 +00:02:33,240 --> 00:02:39,440 +لزيرو بياخد بعض الوقت بفعل الـ self inductance اللي + +31 +00:02:39,440 --> 00:02:44,940 +موجود في الملف الآن بدنا نشرح معادلات رياضية + +32 +00:02:44,940 --> 00:02:48,220 +اتكلمنا عن هذه الظاهرة بيقول لي + +33 +00:02:51,220 --> 00:02:55,700 +consider the RL circuit shown فيها عندي الـ RL + +34 +00:02:55,700 --> 00:02:59,060 +circuit اللي شايفينها suppose that the switch is + +35 +00:02:59,060 --> 00:03:03,460 +thrown to point one at T equal to zero applying + +36 +00:03:03,460 --> 00:03:08,300 +Kirchhoff's loop rule to the circuit at T at any time + +37 +00:03:08,300 --> 00:03:12,360 +بحجة أنا بعد ما أسكره هيك شباب هيك صار في + +38 +00:03:12,360 --> 00:03:15,160 +عندي loop مغلقة الآن ولا لأ؟ في عندي loop مغلقة + +39 +00:03:15,160 --> 00:03:20,420 +تتكون من كم عنصر بتتكون من العناصر التلاتة بطارية + +40 +00:03:20,420 --> 00:03:27,980 +مقاومة وملف كيرشوف بيقول مجموع فروق الجهود بين كل + +41 +00:03:27,980 --> 00:03:32,310 +التلاتة العناصر هدول اللي بيساوي zero فرق الجهد بين + +42 +00:03:32,310 --> 00:03:37,830 +طرفي البطارية هي ε إبسلون فرق الجهد بين طرفي أي + +43 +00:03:37,830 --> 00:03:43,330 +مقاومة بيساوي I في R حسب قانون أوم فرق الجهد بين + +44 +00:03:43,330 --> 00:03:48,390 +طرفي أي ملف اللي اتعلمناه من اليوم مطالع أن ε + +45 +00:03:48,390 --> 00:03:58,060 +تبعت الـ L بتساوي سالب L Di على Dt إذا هذا هو العنصر + +46 +00:03:58,060 --> 00:04:02,260 +الجديد اللي بيجي معايا شباب أنه فرق الجهد بين طرفي + +47 +00:04:02,260 --> 00:04:06,140 +أي ملف يُعطى بالقيمة هذه يلا نشتغل على كده شوف + +48 +00:04:06,140 --> 00:04:12,340 +بدي أبجى من هان وأمشي مع عقارب الساعة أيش بجانب + +49 +00:04:12,340 --> 00:04:18,460 +اللي الأول بطارية معايا ε إبسلون التيار معايا سالب + +50 +00:04:18,460 --> 00:04:23,940 +I في الـ R بجانب النهار ده أيش فرق بيحصل؟ بدقولها + +51 +00:04:23,940 --> 00:04:27,360 +قيمة وحط زائد أو ناقص هو أصلا اللي ناقص دائما + +52 +00:04:27,360 --> 00:04:31,880 +لأنه معاكس أصلا تمام؟ ولو أجيت أنا بدي أعمل معاملة + +53 +00:04:31,880 --> 00:04:35,300 +البطارية هو لما المرة دي حكيت أن هنا في عندي تيار + +54 +00:04:35,300 --> 00:04:38,700 +تبع البطارية وهنا تيار تبع الملف وكأنه هنا + +55 +00:04:38,700 --> 00:04:42,000 +positive هنا negative بيصير وبالتالي بيكون الـ ε + +56 +00:04:42,000 --> 00:04:44,720 +بتبقى على عكس البطارية فلازم يكون سالب بكل الأحوال + +57 +00:04:44,720 --> 00:04:48,380 +ويحط السالب حسب قاعدة لنز عشان يؤكد هذا الشيء أن + +58 +00:04:48,380 --> 00:04:51,620 +في عملية المعاكسة دائما فهو الـ emf دائما معاكس + +59 +00:04:51,620 --> 00:04:57,060 +للأصل الحث الذاتي أو الحثية الذاتية فبيقول لي بهذه + +60 +00:04:57,060 --> 00:05:01,620 +الحالة لما تيجي أنت تطبق قاعدة كيرشوف هتطلع لك هذه + +61 +00:05:01,620 --> 00:05:07,280 +المعادلة ε ماينص آي في الـ R ماينص L DI على + +62 +00:05:07,280 --> 00:05:15,110 +DT equal to zero حلو هذه معادلة تفاضلية يا شباب من + +63 +00:05:15,110 --> 00:05:18,910 +درجة أيش؟ الأولى المفروض أن المعادلة سهلة الدرجة + +64 +00:05:18,910 --> 00:05:22,770 +الأولى سهل حلها لكن برضه بتاخد شوية شغل خلنا نحلها + +65 +00:05:22,770 --> 00:05:25,390 +احنا وإياكم طبعا احنا نحلها بدون مملعفة + +66 +00:05:25,390 --> 00:05:29,910 +differential equation وانفلّتنا من الـ rules تبع حل + +67 +00:05:29,910 --> 00:05:32,810 +differential equations بنحلها بطريقة سهلة جدا + +68 +00:05:32,810 --> 00:05:37,730 +انقول هذه معادلة بدي أجسم هذه المعادلة على أرض صح + +69 +00:05:37,730 --> 00:05:43,690 +ليه؟ خلّيني أنحلها هنا بصحيح اللي أقول ابسلون على R + +70 +00:05:43,690 --> 00:05:52,830 +minus I minus L على R DI over DT equal to 0 ولا + +71 +00:05:52,830 --> 00:05:56,630 +لأ؟ في إشكالية هيك؟ عادي ما فيش.. ما ناقص جعبة طيب + +72 +00:05:56,630 --> 00:06:04,910 +بيقول لي هذا خلّيها X غير شوية variables بيقول لك Y + +73 +00:06:04,910 --> 00:06:10,350 +على r minus i equal to x x variable أي variable + +74 +00:06:10,350 --> 00:06:18,250 +قال فابر طلع لي المعادلة هذه Y على R constant هذه Y + +75 +00:06:18,250 --> 00:06:22,950 +على R constant يعني أنت ماشي زمن بتتغير Y أو R لأ + +76 +00:06:22,950 --> 00:06:29,730 +طيب إذا معناته بقدر أقول من هنا ناقص DI equal to + +77 +00:06:29,730 --> 00:06:30,210 +DX + +78 +00:06:32,920 --> 00:06:36,460 +مظبوط ولا لأ أنا اعتبرت أن هذه zero هذه ناقص صار دي + +79 +00:06:36,460 --> 00:06:41,020 +I وهذه صار دي X اتفقنا بدل هذه أيش بتحط محلها + +80 +00:06:41,020 --> 00:06:50,240 +X إذا X ناقص L على R أيش هحط بدل دي I سالب دي + +81 +00:06:50,240 --> 00:06:53,900 +X مظبوط ولا لأ إذا بدل دي I هحط سالب دي X + +82 +00:06:58,090 --> 00:07:03,350 +فاكثرة لأ X هذه مش position ها هذي X variable تمام + +83 +00:07:03,350 --> 00:07:05,790 +الـ X تبعت الـ calculus شبهت غير X تبعت الـ physics + +84 +00:07:05,790 --> 00:07:09,530 +الـ X تبعت الـ calculus أي حاجة بتتخيلها بتكون هي + +85 +00:07:09,530 --> 00:07:13,210 +تمام ممكن تكون زمن ممكن تكون mass ممكن تكون volume + +86 +00:07:13,210 --> 00:07:15,790 +ممكن تكون area ممكن تكون energy ممكن تكون power + +87 +00:07:15,790 --> 00:07:18,730 +بدّاك إياها بتكون أما الـ X تبعت الـ physics position + +88 +00:07:18,730 --> 00:07:22,010 +وبالتالي دي X على دي t بتكون V لأن هذي X + +89 +00:07:22,010 --> 00:07:23,930 +unvariable تمام احكي + +90 +00:07:26,480 --> 00:07:32,780 +بالنسبة للتفاضل فهي فاضل الترفيه المعادل فهي فاضل + +91 +00:07:32,780 --> 00:07:34,060 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +92 +00:07:34,060 --> 00:07:35,340 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +93 +00:07:35,340 --> 00:07:35,800 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +94 +00:07:35,800 --> 00:07:36,200 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +95 +00:07:36,200 --> 00:07:38,420 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +96 +00:07:38,420 --> 00:07:45,540 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +97 +00:07:45,540 --> 00:07:52,760 +الترفيه المعادل فهي فاضل الترفيه + +98 +00:07:52,760 --> 00:07:59,960 +المعادل فهي بتساوي سالب L على R DX دلوقت رتبته + +99 +00:07:59,960 --> 00:08:04,220 +ليه؟ ورتبت المعادلة صحيح ولا لأ؟ ما فيش أي إشكالية، + +100 +00:08:04,220 --> 00:08:09,960 +قلت X DT بتساوي سالب L على R DX طيب، هذه جيبها هنا + +101 +00:08:09,960 --> 00:08:14,440 +وهذول جيبهم هنا هذه جيبها، يعني أجسم المعادلة على + +102 +00:08:14,440 --> 00:08:21,500 +X يعني بصي واحد على X، إذا بصي المعادلة DX على X + +103 +00:08:23,090 --> 00:08:31,290 +بتساوي سالب R على L DT تمام؟ + +104 +00:08:31,290 --> 00:08:34,330 +عشان أنا عارف اشتغل، هاجيت ما عرفتش اشتغل هاجيت بديها + +105 +00:08:34,330 --> 00:08:42,470 +كامل بكامل تعرفي المعادلة هذه من صفر لـ T دائما هذه + +106 +00:08:42,470 --> 00:08:50,570 +عند صفر بتكون X not وهذه X أي X أيش تكامل DX على X + +107 +00:08:50,570 --> 00:08:56,030 +لن الـ X من X لـ X not لن X على X not صحيح لأ إذا + +108 +00:08:56,030 --> 00:09:02,870 +أنا صاحبي عندي لن X over X not بالساوي سالب R على L + +109 +00:09:02,870 --> 00:09:09,570 +أيّش تكامل DT كاملة + +110 +00:09:09,570 --> 00:09:15,670 +دي بالـ X بقول X على X not equal E to power minus R + +111 +00:09:15,670 --> 00:09:25,960 +على L في الـ T صحيح؟ تمام؟ إذا X equal X naught E + +112 +00:09:25,960 --> 00:09:30,900 +ناقص R على L في الـ T متفقين ايه يا شباب ولا لأ؟ + +113 +00:09:30,900 --> 00:09:36,040 +أرجع ليه X؟ هو معناه.. هيرجع لحاجة أقول X not على + +114 +00:09:36,040 --> 00:09:41,480 +R ماينص I بتساوي.. أيش X note؟ قال الـ X note هي + +115 +00:09:41,480 --> 00:09:46,720 +قيمة X عن T بتساوي صفر.. صح قال أن T بتساوي صفر + +116 +00:09:46,720 --> 00:09:50,440 +كان في تيار؟ لأ.. إذا بقدر أقول X note هي X + +117 +00:09:50,440 --> 00:09:52,980 +not على R ولا لأ؟ هي X not على I.. إذا بدي الـ X + +118 +00:09:52,980 --> 00:09:57,520 +note بتحط X not على R.. ايه بتبقى؟ ماينص R على LT + +119 +00:09:58,610 --> 00:10:05,930 +طيب هيتّأدي بتوديها هناك تمام فبتصير I بتساوي Y + +120 +00:10:05,930 --> 00:10:15,010 +على R واحد ماينص E طبعا ناقص R على L في الـ T هذه + +121 +00:10:15,010 --> 00:10:19,070 +التيار طلع معايا أيش طلع معايا التيار بيقول التيار + +122 +00:10:19,070 --> 00:10:25,390 +بيعتمد على الزمن عن ما له بيتغير بيجيش له قيمة ثابتة + +123 +00:10:25,390 --> 00:10:29,210 +معينة بيعتمد على الزمن طبعا أنا هنا مش شرحة كاملة + +124 +00:10:29,210 --> 00:10:31,910 +لأنه على اعتبار احنا الاشتقاق اللي هو معادلة + +125 +00:10:31,910 --> 00:10:36,710 +تفاضلية مش مطلوب مننا أنه نحفظه لأنه دي حال معادلة + +126 +00:10:36,710 --> 00:10:40,130 +تفاضلية by chance مرات الحل بيكون سهل أتعامل معه + +127 +00:10:40,130 --> 00:10:42,970 +ونفهمه ومرات بيكون زي ما عملنا في الـ simple + +128 +00:10:42,970 --> 00:10:45,630 +harmonic motion بيكون الـ second order differential + +129 +00:10:45,630 --> 00:10:49,530 +equation بيقول أن هذا الحل وأنت راح تحله وتتحقق أن هو + +130 +00:10:49,530 --> 00:10:52,910 +هذا حل ولا لا على اعتبار أنا ما بقدرش أحل زي simple + +131 +00:10:52,910 --> 00:10:58,570 +harmonic motion of sine و cosine تمامه هو طبعا هنا + +132 +00:10:58,570 --> 00:11:03,530 +أيّش عامل بيقول it is not difficult to verify that + +133 +00:11:03,530 --> 00:11:06,390 +the solution of the differential equation given in + +134 +00:11:06,390 --> 00:11:09,590 +the above is هذه علاقتها يعني هذه هي نفس العلاقة + +135 +00:11:09,590 --> 00:11:13,090 +اللي جبتها دي بس أيش الـ τاو هنا حطها إلا على R + +136 +00:11:13,090 --> 00:11:15,990 +عكس هذه إلا على R عشان بحطها في المقام إلا على R + +137 +00:11:15,990 --> 00:11:20,210 +طبعا أيّش حطها τاو وبدأها تذكر τاو تبعت الـ capacitor RC + +138 +00:11:20,210 --> 00:11:25,450 +قال بعد ما حدد.. قال أيّش هذه وحدتها ثانية طبعا أيّش + +139 +00:11:25,450 --> 00:11:29,790 +هذه برضه تيار مظبوط إذا هذه أمبير إذا أقولها أجسم + +140 +00:11:29,790 --> 00:11:35,670 +منها كل وحدة طبعا إذا هذه T قال لي إذا معناته R على + +141 +00:11:35,670 --> 00:11:39,930 +L لازم تكون واحدة على T أو L على R لازم تكون T لما + +142 +00:11:39,930 --> 00:11:44,470 +تشوف L على R شباب L على R بتقول هذه O فاهمينها احنا + +143 +00:11:44,470 --> 00:11:48,110 +من أول وإيه الـ Henry والـ Henry Volt ثانية على + +144 +00:11:48,110 --> 00:11:52,630 +أمبير ولا لأ هذه الـ Henry Volt ثانية على أمبير قال لي + +145 +00:11:52,630 --> 00:11:57,190 +هذه شيء الـ O ما هي Volt على أمبير هذه مع هذه و + +146 +00:11:57,190 --> 00:12:01,840 +هذه مع هذه طلعت ثانية صحيحة إذا جلّي L على R اعتبرها + +147 +00:12:01,840 --> 00:12:06,620 +time وهي time لأن في النهاية أي كمية فيزيائية + +148 +00:12:06,620 --> 00:12:10,740 +وحدتها second أو hour أو يوم أو شهر معناته الزمن + +149 +00:12:10,740 --> 00:12:14,700 +قطعا فهي طلع لي هذه المعادلة طبعا I maximum هنا + +150 +00:12:14,700 --> 00:12:19,720 +أيّش بتساوي ε إبسلون على R with I maximum بتساوي ε + +151 +00:12:19,720 --> 00:12:22,900 +على R طبعا أنا هذه حالتها لو احنا ما نعرفش في الـ + +152 +00:12:22,900 --> 00:12:28,630 +calculus بسمع جرب أقول كيف بيتأكد أن هذه شباب هي حل + +153 +00:12:28,630 --> 00:12:33,630 +هذه المعادلة كيف بدي أتأكد؟ بدي أنا أعوض مظبوط + +154 +00:12:33,630 --> 00:12:36,450 +ولا لأ؟ يعني لو أنا بعوض في differential equation و + +155 +00:12:36,450 --> 00:12:38,870 +واحد قال لك هذه الحل، بقول يلا نشوف هم يصدقونك ولا + +156 +00:12:38,870 --> 00:12:39,630 +هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم + +157 +00:12:39,630 --> 00:12:40,430 +هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم + +158 +00:12:40,430 --> 00:12:44,110 +هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم + +159 +00:12:44,110 --> 00:12:51,870 +هم هم هم هم هم هم هم هم + +160 +00:12:53,480 --> 00:12:56,420 +هل بتطلع حل ولا لا؟ احنا بنعوض طبعا وبالتالي + +161 +00:12:56,420 --> 00:12:59,940 +قدرنا نعوض طلعت حل لكن أنا هنا في الـ في الشرايح + +162 +00:12:59,940 --> 00:13:03,440 +بتبقى الـ power point مش حيلها على اعتبار أنه احنا + +163 +00:13:03,440 --> 00:13:08,100 +مش مش معنيين كتير هجيب دي I على دي t مين اشتق + +164 +00:13:08,100 --> 00:13:11,520 +لها؟ يلا يا جماعة هذه المعادلة تعرفتوا تشتقوا الـ + +165 +00:13:11,520 --> 00:13:18,120 +exponential ولا لا؟ يلا اشتقوا I maximum في واحد + +166 +00:13:18,120 --> 00:13:23,020 +في الأول جدّاش؟ I maximum في واحد اشتقاقها Zero Zero + +167 +00:13:23,020 --> 00:13:27,340 +Zero الثاني I maximum في الـ exponential في سالب هنا + +168 +00:13:27,340 --> 00:13:34,000 +وبيجيك سالب من هنا راح فبيصير I maximum على τاو E + +169 +00:13:34,000 --> 00:13:38,480 +to power minus T على τاو صح يا شباب أو لا؟ طبعا I + +170 +00:13:38,480 --> 00:13:42,240 +maximum احنا بيقولين ε إبسلون على R ها دي بيجي لها + +171 +00:13:42,240 --> 00:13:49,970 +ε إبسلون على R τاو بتساوي L على R L على R E + +172 +00:13:49,970 --> 00:13:57,770 +ناقص T على τاو نجي نعوض بقول ε إبسلون ماينص I I + +173 +00:13:57,770 --> 00 + +201 +00:16:23,780 --> 00:16:28,800 +شوية بسيط عليهم. طيب احنا كما تقول حكينا عن كي + +202 +00:16:28,800 --> 00:16:32,460 +بتساوي صفر التيار صفر وعن كي بتساوي من نهاية + +203 +00:16:32,460 --> 00:16:36,140 +التيار بيصير maximum واحنا متفقين لأهم من هذا + +204 +00:16:36,140 --> 00:16:40,560 +الشيء ان ال inductor او الملف لا يعمل الا لفترة + +205 +00:16:40,560 --> 00:16:45,020 +زمنية قصيرة جدا وهي ساعة الإغلاق وساعة الفتح. طب + +206 +00:16:45,020 --> 00:16:50,080 +بعد زمن طويل ايش بيصير دور الملف بيصير short circuit + +207 +00:16:50,080 --> 00:16:54,200 +عادي يعني short circuit تمام فبنقول it is clear + +208 +00:16:54,200 --> 00:16:58,260 +that ال T بتساوي صفر I بتساوي صفر while as T goes + +209 +00:16:58,260 --> 00:17:04,020 +to من النهاية هذه I I بتساوي I maximum I بتساوي I + +210 +00:17:04,020 --> 00:17:08,100 +maximum this means that القاعدة اللي هي عكس ال + +211 +00:17:08,100 --> 00:17:13,010 +capacitor بتقول the inductor acts as if it were an + +212 +00:17:13,010 --> 00:17:17,250 +open circuit at t بيتساوى 0 and acts as if it were + +213 +00:17:17,250 --> 00:17:20,150 +a wire with negligible resistance at t goes to ملا نهاية + +214 +00:17:20,150 --> 00:17:22,870 +عن t بيبتساوى 0 بيكون open circuit لإن + +215 +00:17:22,870 --> 00:17:25,730 +التيار بيكون 0 والتيار لا يساوي 0 إلا في ال open + +216 +00:17:25,730 --> 00:17:30,010 +circuits وبرجع سلك normal wire with negligible + +217 +00:17:30,010 --> 00:17:33,650 +resistance لما t goes to ملا نهاية يعني هو سلك + +218 +00:17:33,650 --> 00:17:38,470 +نحاس. طول ولا جسر التف ولا كان عدل في النهاية ما + +219 +00:17:38,470 --> 00:17:41,370 +زال سلك من النحاس كونبكتر انا بعتبر ارتباطه قديش + +220 +00:17:41,370 --> 00:17:46,350 +Zero وبتعامل معاه على هذا الأساس الآن في الدائرة + +221 +00:17:47,340 --> 00:17:51,440 +عشان بس نرجع للدائرة الدائرة الآن بقول انت هيك + +222 +00:17:51,440 --> 00:17:57,000 +وصرت واستنتى عليه المنطق شباب بيقول الملف مش بال + +223 +00:17:57,000 --> 00:18:01,200 +capacitor ال capacitor بيخزن طاقة كهربية والملف + +224 +00:18:01,200 --> 00:18:07,060 +بيخزن طاقة مغناطيسية. ايه لما حفظت عليه بقول الان + +225 +00:18:07,060 --> 00:18:11,530 +فيه طاقة جوا مخزنة ولا لافي هنا طاقة مخزنة لما افك + +226 +00:18:11,530 --> 00:18:15,470 +هادي واربط هان الطاقة اللي هان بستفيد منها + +227 +00:18:15,470 --> 00:18:20,890 +بترجعليه. عشان كده بتلاقي ان في عندك طيار من وين يه + +228 +00:18:20,890 --> 00:18:25,410 +الطيار نتيجة ال magnetic energy اللي يخزنته هنحسب + +229 +00:18:25,410 --> 00:18:28,330 +كيف خزنته احنا ال magnetic energy وبالظبط كمتها + +230 +00:18:28,330 --> 00:18:29,890 +بيقول هنا + +231 +00:18:33,560 --> 00:18:37,220 +If the battery is suddenly removed by throwing the + +232 +00:18:37,220 --> 00:18:42,040 +switch to point 2 in the circuit and applying + +233 +00:18:42,040 --> 00:18:45,340 +Kirchhoff's rule again المعادلة الأولية كانت + +234 +00:18:45,340 --> 00:18:51,080 +كالتالي. ابسلون نقص I في ال R نقص LDI على DT بالساعة + +235 +00:18:51,080 --> 00:18:53,760 +0 ده اللي جيه المفقترية لان ايش بتتوقع يصير + +236 +00:18:57,570 --> 00:19:00,390 +تمام؟ طب بتفهم عندك هذه المعادلة سهل بسهولة تصير هذه + +237 +00:19:00,390 --> 00:19:05,490 +زائد زائد وخلاص تصير عندك المعادلة التالية في + +238 +00:19:05,490 --> 00:19:09,930 +الدائرة هذه. طيب هذه معادلة برضه differential + +239 +00:19:09,930 --> 00:19:12,290 +equation first order بس هذه سهلة لا بدي x ولا بدي + +240 +00:19:12,290 --> 00:19:15,810 +y لأنه مافيش عندى الحد تبقى المن homogeneous ال + +241 +00:19:15,810 --> 00:19:19,090 +tier حد بيقول هذه سهلة كيف نتعامل معها؟ بقول هذه + +242 +00:19:19,090 --> 00:19:21,590 +نتعامل فيها حكاية تالية تصير + +243 +00:19:24,050 --> 00:19:31,070 +DI على DT بسوى سالب I في ال R في مشكلة؟ مافي مشكلة + +244 +00:19:31,070 --> 00:19:34,150 +جال يجيب ال I هنا ويضيع ويضع ويضع ويضع و + +245 +00:19:34,150 --> 00:19:34,310 +يوضع ويضع ويضع ويضع ويضع ويضع ويضع و + +246 +00:19:34,310 --> 00:19:34,510 +يوضع ويضع ويضع ويضع ويضع ويضع ويضع و + +247 +00:19:34,510 --> 00:19:35,350 +يوضع ويضع ويضع ويضع ويضع ويضع ويضع و + +248 +00:19:35,350 --> 00:19:40,850 +يوضع و + +249 +00:19:40,850 --> 00:19:40,870 +يوضع ويضع ويضع ويضع ويضع ويضع ويضع و + +250 +00:19:40,870 --> 00:19:42,030 +يوضع ويضع ويضع ويضع ويضع + +251 +00:19:47,980 --> 00:19:50,700 +تي واش تكرر مولي دي اي على اي لان الا اي اذا الا + +252 +00:19:50,700 --> 00:19:55,240 +اي بيساوي على طول من هنا بقول اي بيساوي اي نوت + +253 +00:19:55,240 --> 00:20:01,380 +اتبع ناقص تي على تاو. هاتلعب طيارة على طول بضربة + +254 +00:20:01,380 --> 00:20:05,080 +واحدة بدون اي اشكالية. طبعا التاو هنا بيساوي L على + +255 +00:20:05,080 --> 00:20:10,190 +R وهذه من صفر ل T وهذه من I not ل I و I not هي ل I + +256 +00:20:10,190 --> 00:20:14,270 +maximum مش خضية فهذه معادلة سهلة بس برضه وبرضه + +257 +00:20:14,270 --> 00:20:18,850 +اشتقاقها انا مش معنى فيها طلعت I بتسوي I maximum E + +258 +00:20:18,850 --> 00:20:23,270 +تباول نقص T على T اول هذه exponential عادي كيف + +259 +00:20:23,270 --> 00:20:29,150 +نصمتها؟ هذه نصمتها هيك شبكهذه الرسمة I not او I + +260 +00:20:29,150 --> 00:20:34,030 +maximum تُصِن بهذا الشكل إذا الطيار كان له قيمة + +261 +00:20:34,030 --> 00:20:37,210 +بديه يروح لل zero الطيار كان له قيمة بديه يروح لل + +262 +00:20:37,210 --> 00:20:41,530 +zero بس مالروحش لل zero مرة واحدة بروح بيه بطق + +263 +00:20:41,530 --> 00:20:46,910 +تمام ال variation هاي اللي بدي نرسم الرسمات الآن + +264 +00:20:46,910 --> 00:20:52,730 +ال variation of I versus time are plotted in the + +265 +00:20:52,730 --> 00:20:56,210 +figure as shown بيقول لي ولما أسكر مفتاح حقيقة + +266 +00:20:56,210 --> 00:21:00,930 +الطيار بيصيرالطيار شويه شويه بزيد لما يصل لقيمته + +267 +00:21:00,930 --> 00:21:04,410 +العظمى وحنا حكينا لملافة ايش مهمته يعيق وصول + +268 +00:21:04,410 --> 00:21:08,910 +الطيار ل... وصوله لقيمته النهائية لبعد الوقت هو + +269 +00:21:08,910 --> 00:21:12,150 +الطيار هيق قيمته النهائية ماجعش نطة... نطة واحدة + +270 +00:21:12,150 --> 00:21:15,170 +أخدوا شوية وجت عبر المواصلة طبعا الشباب هذا وجت + +271 +00:21:15,170 --> 00:21:19,190 +milli second أو micro second مش إنه ساعات ولا حتى + +272 +00:21:19,190 --> 00:21:22,450 +seconds هدول غاربة بال micro seconds فبالتالي + +273 +00:21:22,450 --> 00:21:28,160 +بياخدوا شوية وجت وبرجع تمام ولمّا...عطفى بنذرش مرة + +274 +00:21:28,160 --> 00:21:31,380 +واحدة بياخدوا شوية واجهة طبعا شوفها ايه يعني تعتبر + +275 +00:21:31,380 --> 00:21:34,900 +نعمة لو انت تيجي تمثلها كالتالت انت لما تيجي بدك + +276 +00:21:34,900 --> 00:21:37,640 +تتواجه زي تخبر صاحبك ولا اي واحد بتعرفه مصيبة + +277 +00:21:37,640 --> 00:21:42,560 +تخبره خبط... خبط واحدة مش بيصير عنده صدمة وراه + +278 +00:21:42,560 --> 00:21:46,460 +ماسيصرا ممكن فتصير تبقى هدله وراه يمين وشمال وشوية + +279 +00:21:46,460 --> 00:21:50,100 +شوية بعد ما تديها ممكن تديه الخبر بمصف ثانية تديه + +280 +00:21:50,100 --> 00:21:53,080 +الخبر وراك تظهر وتطلع ممكن تحكي له قصة ساعة و + +281 +00:21:53,080 --> 00:21:57,060 +بعدين تديه الخبر الخبر ماتغير ايش مضبوط الخبر + +282 +00:21:57,060 --> 00:22:02,360 +مضايقش لإيه؟ لأنه دائما الصدمة تتغير قدرات كثيرة + +283 +00:22:02,360 --> 00:22:05,700 +في أي حاجة عطب مهل بين أدمين نفس الخبرية في + +284 +00:22:05,700 --> 00:22:10,240 +الأجهزة لإن القعنة بتروح وتجيب وكتفت كل الأجهزة + +285 +00:22:10,240 --> 00:22:14,300 +بتخاف تخرب لإن بيصير فيه تغييرات سريعة ومفاجئة + +286 +00:22:14,300 --> 00:22:20,400 +دائما فهذا الملف بيأمل على تلقى الصدمة شوي شوي + +287 +00:22:20,400 --> 00:22:24,380 +عشان مايصير فيه صدمة ويصير فيه choke ويصير فيه ضرر + +288 +00:22:24,680 --> 00:22:30,760 +فهذه رحمة من الرحمات الموجودة ومن القدرات تبعها + +289 +00:22:30,760 --> 00:22:35,700 +الخالق في الأمور كلها انه التغيير مستشفى باللي + +290 +00:22:35,700 --> 00:22:41,620 +يصير بلطف حتى في هذه الأمور موجودة طبعا رحمة تفقيد + +291 +00:22:43,020 --> 00:22:45,240 +الأجيزة ممكن تقولها صحيحة، لأن حتى الأجيزة ما + +292 +00:22:45,240 --> 00:22:48,080 +يبصروا عندها صدمة، بصروا عندها مستشفى، بيبصروها، + +293 +00:22:48,080 --> 00:22:53,080 +يعني سبحان الله ربنا يخلّى كل الأمور فيه مشتركين + +294 +00:22:53,080 --> 00:22:56,340 +بسمات معينة، كل الأمور، طبعا كلها مخلوقات، إذا + +295 +00:22:56,340 --> 00:22:59,520 +كانت بنا أدمين ولا حيوانات ولا جماد، حتى الجماد، + +296 +00:22:59,520 --> 00:23:02,200 +لأن في النهاية الجماد يا إخوان لو تيجي تفكر فيه، + +297 +00:23:02,200 --> 00:23:04,900 +نحن بيقول عنه جماد عشان البينموش وشغلات، لكن في + +298 +00:23:04,900 --> 00:23:07,620 +النهاية في حركة واحنا متفقين إن كل هالدنيا كلها + +299 +00:23:07,620 --> 00:23:11,820 +جاية من كعربية ومن نفسية عشان نتيجة حركة فالحركة + +300 +00:23:11,820 --> 00:23:14,680 +موجودة حتى بالجماد اللي بنحكي عنه جماد احنا جواته + +301 +00:23:14,680 --> 00:23:19,640 +حركة كاملة لا ترع تمام؟ وبالتالي الحركة موجودة ففي + +302 +00:23:19,640 --> 00:23:24,920 +common sense و common properties في كل المخلوقات + +303 +00:23:24,920 --> 00:23:29,820 +من ضمن هذه الشغلات وكتير أمور واحد بيعكسها على + +304 +00:23:29,820 --> 00:23:32,620 +البلد الأدمين بيلاقيها موجودة في باق المخلوقات + +305 +00:23:32,620 --> 00:23:38,220 +فطبعا هذه الشغلات المعروفة بقول as it is clear from + +306 +00:23:38,220 --> 00:23:42,960 +figure a graph a the current takes some time to + +307 +00:23:42,960 --> 00:23:45,900 +reach its maximum value يبقى ياخد شوية وقت لما يصل + +308 +00:23:45,900 --> 00:23:49,860 +ال maximum value while the graph of figure b + +309 +00:23:49,860 --> 00:23:52,780 +التحتانى till the current takes some time to reach + +310 +00:23:52,780 --> 00:23:56,860 +its zero value لما أفتح ياخد شوية وقت لما يصل ال + +311 +00:23:56,860 --> 00:24:02,010 +zero value. In another word ايش هو... بنرجع نقول ايه + +312 +00:24:02,010 --> 00:24:05,170 +شغل ال inductor؟ بقول the inductor has the effect + +313 +00:24:05,170 --> 00:24:09,170 +to hinder the current يعيق التيار... هندر معاه + +314 +00:24:09,170 --> 00:24:12,510 +تيعيق... to hinder the current from reaching its + +315 +00:24:12,510 --> 00:24:16,130 +final value for some time لكن مش لوقت كبير، تبقى + +316 +00:24:16,130 --> 00:24:20,050 +sometime في الآخر الخبر خبر ما هو بدي يصل يبدي يصل + +317 +00:24:20,050 --> 00:24:24,570 +والتيار بدي يصل بدي يصل بس بياخده شوية وقت بعدين + +318 +00:24:24,570 --> 00:24:27,790 +بيصل لقيمته مافيش اي مشكلة واحنا متفقين شباب ان ال + +319 +00:24:27,790 --> 00:24:31,890 +inductor شغلته الطبيعية الحقيقية الصح في ال + +320 +00:24:31,890 --> 00:24:35,410 +alternating current circuits لأنه هناك الملف + +321 +00:24:35,410 --> 00:24:39,130 +بتحولش ل short circuit عمره ما بيخصيص short circuit لأنه + +322 +00:24:39,130 --> 00:24:41,730 +هناك مش شغل... ليش فارش short circuit بقولوا انه + +323 +00:24:41,730 --> 00:24:45,750 +ثبات ل flux بطر للشغل في ال alternating current في + +324 +00:24:45,750 --> 00:24:50,610 +ثبات ل flux مافيش ثابت الفقر بالتالي بيضلوا يتغير + +325 +00:24:50,610 --> 00:24:55,470 +احنا في الشطر اللي ورا هذا بيكون كله مخصص لدوائر + +326 +00:24:55,470 --> 00:24:59,470 +التيار المتردد طيب احنا لان قاعدين ناخد ال inductor + +327 +00:24:59,470 --> 00:25:05,570 +وقولنا انه الملف بيشتغل ك open circuit أنتي بتساوي + +328 +00:25:05,570 --> 00:25:09,310 +صفر وك short circuit أنتي بتساوي ملا نهاية صحيح + +329 +00:25:09,310 --> 00:25:13,170 +ولا لأ؟ هنرجع ناخد ال inductor في دوائر التيار + +330 +00:25:13,170 --> 00:25:18,290 +المتردد من يقدر يقولي أنا كيف بدي أعمل مقارنة بين + +331 +00:25:18,290 --> 00:25:21,590 +دوائر التيار المتردد ودوائر المستمر بمعنى آخر + +332 +00:25:21,590 --> 00:25:25,910 +واكتشف ان اقدر أخل التيار المتردد يصير مستمر ايش + +333 +00:25:25,910 --> 00:25:30,340 +ممكن أغير في التيار المتردد عشان أصير مستمر يعني + +334 +00:25:30,340 --> 00:25:36,040 +تردده لـ frequency ايش أخليها؟ صفر ماهيش اي ادعية + +335 +00:25:36,040 --> 00:25:39,840 +هو شو التيار متردد عشان رايح جال لو التيار رحله + +336 +00:25:39,840 --> 00:25:44,150 +بيجي بصير متردد؟ بصير DC طب ايش هو اللي بيقيصه و + +337 +00:25:44,150 --> 00:25:46,850 +يقراه عريانه؟ هي ال frequency مش ال frequency + +338 +00:25:46,850 --> 00:25:50,810 +تعريفه عدد دورات في الثانية الواحدة لو واحد بيعملش + +339 +00:25:50,810 --> 00:25:52,870 +دورات، يعني كام دورة بيعمل في الثانية معناته؟ + +340 +00:25:52,870 --> 00:25:56,090 +Zero نفرضته بقى Zero الآن بكرا لما بدنا نعمل + +341 +00:25:56,090 --> 00:25:59,610 +correspondence ونعمل مقارة، بنقول Omega اللي هي + +342 +00:25:59,610 --> 00:26:02,330 +ال New ال frequency سويا ب Zero شوف بتطلع معاك + +343 +00:26:02,330 --> 00:26:05,610 +نفس القيم تبعت هذا الشرطة ولا لا؟ إذا التيار + +344 +00:26:05,610 --> 00:26:09,790 +المتردد أنا كرياضيات كمعادلات بخلّيه مستمر إذا + +345 +00:26:09,790 --> 00:26:13,850 +Omega تبعتة ساوة Zero إذا Omega تبعت التيار متردد + +346 +00:26:13,850 --> 00:26:18,710 +ساوة صفر وهو أصلا كيف عملية ال filtration تبعته + +347 +00:26:18,710 --> 00:26:21,830 +أنا كيف بحوّل التيار مستمر التيار المتردد لمستمر + +348 +00:26:21,830 --> 00:26:26,850 +هي حاجة زي ت بضلني أنا أعمل شغلات بحيث أنه القمة و + +349 +00:26:26,850 --> 00:26:29,430 +القمة يجربوا على بعض كتير وبالتالي ال frequency + +350 +00:26:29,430 --> 00:26:31,770 +بيقول إلى ال Zero وبصير مستمر + +351 +00:26:35,240 --> 00:26:38,720 +الـ value تبعته بيجرب أكتر من دايو وحط دايو ولا + +352 +00:26:38,720 --> 00:26:41,600 +اتنين ولا تلاتة طبعا اول دايو بيبني عليك لتحت + +353 +00:26:41,600 --> 00:26:45,920 +لإنه الدايوت الوصلة التنائية أخدتها يا شباب احنا + +354 +00:26:45,920 --> 00:26:49,140 +بيحكي مصطلحات بيهمش بقى في من انا كام شبك ماخدين + +355 +00:26:49,140 --> 00:26:53,920 +هذه الشغلات فالدايوت الوصلة التنائية ميزته انه + +356 +00:26:53,920 --> 00:26:56,740 +بدخل باتجاه الماء والتيالة مترددة انا عندي + +357 +00:26:56,740 --> 00:26:59,520 +اتجاهينه positive و negative فبيجي الدايوت ال + +358 +00:26:59,520 --> 00:27:02,140 +positive بدخله وال negative كله ممنوع فبتطلع عندي + +359 +00:27:02,140 --> 00:27:07,250 +هيك بدل ما هي الدائرة هك بروحي بيساوي بيقول هذه تخش + +360 +00:27:07,250 --> 00:27:10,730 +وهذه مانعو تخش بصي صفر بعدين بيقول هذه تخش وهذه + +361 +00:27:10,730 --> 00:27:16,170 +مانعو تخش طبعا هنا مشكلة كبيرة صار يضوي ويضوي هنا + +362 +00:27:16,170 --> 00:27:19,830 +في الأول كان يضوي ويضوي وفي الثانية هنا زربا وطفا + +363 +00:27:19,830 --> 00:27:22,590 +فبروحوا ويوحوا مديموا شغلات تانية بحيث انهم يعملوا + +364 +00:27:22,590 --> 00:27:25,610 +هت ويعملوا هت وبعدين يجربوها بحيث انها تكون هك + +365 +00:27:25,610 --> 00:27:31,710 +وهذا عمل احنا ارادوا تبعكم شباب او اي مسجل لما انت + +366 +00:27:31,710 --> 00:27:36,180 +تدخله على الـ breeze تبعك بيكون إما فيه transformer + +367 +00:27:36,180 --> 00:27:39,240 +موجود فيه نفسه أو جواته هادو ايش مهمته؟ مهمته + +368 +00:27:39,240 --> 00:27:43,880 +شغلتين تحويل التيار المتردد إلى تيار مستمر وتقليل + +369 +00:27:43,880 --> 00:27:48,260 +الفولتية من ال... ال 120 غالبا ال 12 volt غالبا + +370 +00:27:48,260 --> 00:27:51,840 +بيشتغل زي شحن الجوال بالظبط شحن الجوال هذه الكبيرة + +371 +00:27:51,840 --> 00:27:55,100 +هذه جوها transformer والفيش + +401 +00:30:00,270 --> 00:30:04,070 +الأجهزة لإن أول ما تطفى فيه طبعا لحظات مرات + +402 +00:30:04,070 --> 00:30:08,090 +وحالتها انتبه بإنه لسه فيه شوية كهربا مظلومة لأ + +403 +00:30:08,090 --> 00:30:11,730 +وبالتالي ما هي عشان الزمن قصير جدا مش دائما بتكون + +404 +00:30:11,730 --> 00:30:18,070 +ملاحظة تمام؟ لإن فبالتالي هذه الأزراج الصدمة خفت + +405 +00:30:18,070 --> 00:30:22,610 +والأحمر الصدمة بتيجي فجة واحدة بيقول the red line + +406 +00:30:22,610 --> 00:30:25,150 +representing I + +407 +00:30:29,890 --> 00:30:34,790 +Blue line representing I vs T with self-inductance + +408 +00:30:34,790 --> 00:30:38,330 +وعالح الأمور ايش الفرق بينهم طبعا في دوائر الطيارة + +409 +00:30:38,330 --> 00:30:43,290 +المستمر بتديني فائدة إنه بتحفظ الأجهزة من نتيجة + +410 +00:30:43,290 --> 00:30:46,990 +تاخد الصدمة بتحفظها وبالتالي دائما التغير ال + +411 +00:30:46,990 --> 00:30:52,530 +smooth له كثير إيجابيات وله كثير نواتج حميدة + +412 +00:30:52,530 --> 00:30:58,600 +بالعكس التغير الصادم ال abrupt في ال calculus ال + +413 +00:30:58,600 --> 00:31:01,620 +function اللي بيسموه abrupt change بيكون بشع دائما + +414 +00:31:01,620 --> 00:31:06,100 +اللي بتغيره السريع بيكون دائما function هيك بشع + +415 +00:31:06,100 --> 00:31:09,820 +حتى في منظره وفي التعامل معه دائما ال abrupt + +416 +00:31:09,820 --> 00:31:13,840 +change إله مشاكله لكن ال smooth change دائما + +417 +00:31:13,840 --> 00:31:16,820 +بيكون التعامل معه كثير وهنا كان في continuous و + +418 +00:31:16,820 --> 00:31:18,500 +discontinuous أنتو عارفين ال discontinuous + +419 +00:31:18,500 --> 00:31:22,060 +function إله مشاكله في أمور كثير إنه integrable و + +420 +00:31:22,060 --> 00:31:26,750 +لا مش integrable طبعا هذه مصروحات رياضيات موجودة + +421 +00:31:26,750 --> 00:31:30,250 +ويلها إشكالياتها في التعامل بالصورة الإجمالية + +422 +00:31:30,250 --> 00:31:35,270 +نشألها المثال بقول consider the circuit shown find + +423 +00:31:35,270 --> 00:31:39,910 +the time constants of the circuit بال time + +424 +00:31:39,910 --> 00:31:42,490 +constants هذه ال time constants هي بنجلة قانون هذه + +425 +00:31:42,490 --> 00:31:45,570 +أكيد بالساوية بس هي في خطأ اتنين millisecond الحال + +426 +00:31:45,570 --> 00:31:49,450 +صح الحال صح Find the time constants of the circuit + +427 +00:32:01,550 --> 00:32:05,970 +مابدهش يعني مش مستحيل تمام and compare the + +428 +00:32:05,970 --> 00:32:09,250 +potential difference across the resistor with that + +429 +00:32:09,250 --> 00:32:12,430 +across the inductor هاي الرسمة شباب بيقولي ها دي + +430 +00:32:12,430 --> 00:32:16,070 +الرسمة RL circuit ولا مش RL circuit؟ RL circuit + +431 +00:32:16,070 --> 00:32:19,250 +بيقولي بيبقى تسكر مفتاحك سكرنا المفتاح وبعدين + +432 +00:32:19,250 --> 00:32:23,450 +نشتغل بيقولي أو دي دي ال a ال time constant بيقول + +433 +00:32:23,450 --> 00:32:27,220 +L على R كدش L؟ تلاتين ميلي هنري تلاتين في عشر أو + +434 +00:32:27,220 --> 00:32:32,120 +تسالي بتلاتة جدش اه ست هاي أول مطلوب the time + +435 +00:32:32,120 --> 00:32:36,300 +constant is given by اخسار على الكالكوليتر مافيشش + +436 +00:32:36,300 --> 00:32:40,720 +تلاتين على .. مش هاش كالكوليتر بس بيجيب على كل صحي + +437 +00:32:40,720 --> 00:32:45,620 +ويحول تلاتين على ستة خمسة ميلي second طبعا زمان + +438 +00:32:45,620 --> 00:32:48,980 +مش هاتين ميلي second فالزمان دي هو خاصي ملي و مراح + +439 +00:32:48,980 --> 00:32:53,220 +micro حتى بحسب الدوائر اللي عندي التالت اخر five + +440 +00:32:53,220 --> 00:32:58,360 +millisecond مش خبيرة ايش بده؟ بيقولي أو دي تيار لما + +441 +00:32:58,360 --> 00:33:01,940 +T بيساوي 2 ميلي ثانية طيب بيقولي أنا هجيبني + +442 +00:33:01,940 --> 00:33:04,980 +القاعدة أو القانون اللي تاوي استقباله مش هذا اللي + +443 +00:33:04,980 --> 00:33:08,760 +هو I بيساوي I ماكسيما واحد ماكسي تقريبا واحد ماكس + +444 +00:33:08,760 --> 00:33:11,920 +T على النار ايش بده؟ بيقولي ال T بيساوي 2 ميلي + +445 +00:33:11,920 --> 00:33:15,020 +ثانية انت تحط بحالك T ثلاثة أو عشان تساوي ثلاثة + +446 +00:33:15,020 --> 00:33:15,820 +بتروح مع بعض + +447 +00:33:24,330 --> 00:33:28,390 +مقام التاني برضه تقدر مباشر إنه تجيب المعادلة و + +448 +00:33:28,390 --> 00:33:32,670 +تعويض فبالتالي ال current is given by I maximum + +449 +00:33:32,670 --> 00:33:37,690 +one minus E to power minus T على تاو تي equal two + +450 +00:33:37,690 --> 00:33:40,950 +milliseconds تاو طلعناها خمسة ملي ساكند فطلعت معه + +451 +00:33:40,950 --> 00:33:45,440 +تيار 0.6 امبير مافيش أي مشكلة، يعني انت + +452 +00:33:45,440 --> 00:33:49,120 +بدك أرقام عشان تعوض، ماتكاش رموز، الرموز بتسهلك يا + +453 +00:33:49,120 --> 00:33:52,920 +ابني، طبعا، وإذا طيعت ال calculator وكنت مش جايبها + +454 +00:33:52,920 --> 00:33:55,280 +معاك في الامتحان، تقعد رابع ساعة ماتدورتش، حاطيه + +455 +00:33:55,280 --> 00:33:58,160 +ال calculator، لأ هيك بالناس إيه ال calculator ولا + +456 +00:33:58,160 --> 00:34:01,960 +ضيافة ولا حاجة، طبعا، تشوف المفروض التاني الشباب، + +457 +00:34:01,960 --> 00:34:05,980 +المفروض التاني بيقولك قارن لي بين الـ Potential + +458 +00:34:05,980 --> 00:34:08,840 +Difference Across R والـ Potential Difference + +459 +00:34:08,840 --> 00:34:13,940 +Across L المنطق شباب بحسب كيرشوف إن لو جمعت هادي + +460 +00:34:13,940 --> 00:34:18,600 +و جمعت هادي بيطلع هادي مش هيك بيقول قلني طب يا رفي + +461 +00:34:18,600 --> 00:34:23,900 +اجمع هادي و اجمع هادي هادي معروفة I في ال R هادي + +462 +00:34:23,900 --> 00:34:29,740 +ال DI على DT هي مشكلتها هادي مشكلتك اصبعلك بكتفاضي + +463 +00:34:29,740 --> 00:34:36,320 +عشان تطلع لإنه DI على DT طب وين هي I؟ متهيألي مش هاد + +464 +00:34:36,320 --> 00:34:40,480 +AI فاملها جيب هادي و جيب هادي و جمّحهم إذا فلقت + +465 +00:34:40,480 --> 00:34:46,880 +معاك إبسلون معناته كلامك صح المنطق منطق بيقولي + +466 +00:34:46,880 --> 00:34:50,460 +the potential difference across the resistor بيقول + +467 +00:34:50,460 --> 00:34:55,140 +V سو I في ال R، في إشكالية؟ I، I وضّت محلها، I وضّت + +468 +00:34:55,140 --> 00:34:59,600 +محلها، إدارة عن I maximum I not أنا مانعت بحط I not + +469 +00:34:59,600 --> 00:35:02,500 +و I maximum لإن هو I maximum هي I not، I خمتها + +470 +00:35:02,500 --> 00:35:07,120 +على التي بالسوء Zero صفّع شجّع هذه أمنّا فيها خلّصنا + +471 +00:35:07,120 --> 00:35:10,600 +منها بيقول لي the potential difference across the + +472 +00:35:10,600 --> 00:35:14,080 +inductor is given by ناقص LDI على DT طبعا أنا و + +473 +00:35:14,080 --> 00:35:19,240 +اياكم اشتقتها شباب لما نقول هذه اشتقها بيصير سالب + +474 +00:35:19,240 --> 00:35:24,540 +مع سالب راحة فبيصير I not على Tau E تبوّر ناقص T + +475 +00:35:24,540 --> 00:35:30,360 +على Tau مظبوطة أو لا؟ هي اشتقاقها لما جيت قولتش هي + +476 +00:35:30,360 --> 00:35:37,170 +Tau هي مش L على R L على R المعرّفة طلّيت هادي قال + +477 +00:35:37,170 --> 00:35:43,710 +هاي VL و هاي VR جمّحهم اتطلّعوا هادي مع هادي و + +478 +00:35:43,710 --> 00:35:48,190 +هادي إخوان ولا مش إخوان جمّحهم على سنة بواحدة موجب + +479 +00:35:48,190 --> 00:35:52,210 +اش بيضل بيضل I NOT في ال R في ال one I NOT في ال R + +480 +00:35:52,210 --> 00:35:57,350 +هي إبسلون هي إبسلون إذا صحيح الكلام بقول لي الآن VR + +481 +00:35:57,350 --> 00:36:01,190 +زي VL طلّيت I NOT في ال R وهي إبسلون بتعرض ال 12 V + +482 +00:36:02,010 --> 00:36:07,010 +إذن كيرشوف وكأني أنا جاية بتحقق من قانون كيرشوف + +483 +00:36:07,010 --> 00:36:12,370 +كمان مرة إنه الفرق الجوهر تبع البطارية راح جزء منه + +484 +00:36:12,370 --> 00:36:18,370 +على المقاومة وجزء منه راح على الملف تمام بدي أحل + +485 +00:36:18,370 --> 00:36:25,090 +problem الآن سؤال problem 23 بدي أحمل example عشان + +486 +00:36:26,540 --> 00:36:29,320 +أغلب الأسئلة مرة واحدة نحاول نعمل a test عشان + +487 +00:36:29,320 --> 00:36:32,780 +نغلبكوش في الحسابات نقول ال T بالساوية 0 وال T + +488 +00:36:32,780 --> 00:36:35,200 +بالساوية من النهاية اتعامل معه طبعا ال T + +489 +00:36:35,200 --> 00:36:38,380 +بالساوية 0 open circuit ال T بالساوية من النهاية + +490 +00:36:38,380 --> 00:36:42,140 +short circuit اتعامل معه هذا الأساس فيبقى السؤال + +491 +00:36:42,140 --> 00:36:46,740 +problem 23 في أكثر من سؤال في النهاية بيحكي على + +492 +00:36:46,740 --> 00:36:49,420 +هذه القاعدة بيقولي the switch in the figure هي + +493 +00:36:49,420 --> 00:36:53,910 +دائرة بيقولي هذا ال switch in the figure is open + +494 +00:36:53,910 --> 00:36:57,610 +at T بالثلاث أسفر هذا كان مفتوح كان مفتوح ما + +495 +00:36:57,610 --> 00:37:02,570 +زال مفتوح البطارية مشبوكة ماجدش تيارات Zero مافيش + +496 +00:37:02,570 --> 00:37:07,390 +ولا تيارات بيقولي and then it closed at T + +497 +00:37:07,390 --> 00:37:10,370 +equal to zero سكرته وبعدين أشغل ساعتي بيقولي + +498 +00:37:10,370 --> 00:37:14,030 +find the currents in the circuit that I'm in at T + +499 +00:37:14,030 --> 00:37:17,430 +بالثلاث أسفر and a long time after closing the + +500 +00:37:17,430 --> 00:37:21,360 +switch and T بالثلاث و ملا مهية ايش بيسوي؟ بيقول + +501 +00:37:21,360 --> 00:37:25,300 +ال T بيساوي 0 كذا عامل الملاف Open Circle يجدش + +502 +00:37:25,300 --> 00:37:33,060 +I2؟ I2 0 و I1 و I3 بيساووا بعد بيساووا 10 على 8 + +503 +00:37:33,060 --> 00:37:40,420 +صحيح ولا لأ؟ تمام إذا معناته هاي سكرّت مفتاحي زي ما + +504 +00:37:40,420 --> 00:37:45,200 +حكت الدائرة وبقول الآن ال T بتساوي صفر المعلومة + +505 +00:37:45,200 --> 00:37:50,080 +اللي عندي the inductor treated as an open circuit + +506 +00:37:50,080 --> 00:37:53,320 +ما زال open circuit على طول بقول آية اتنين جده + +507 +00:37:53,320 --> 00:37:57,500 +ايش؟ Zero لأن هادي وكده إنها صارت شباك كمان في + +508 +00:37:57,500 --> 00:38:00,240 +الكاباستر كانت أحلى إن الشباك ما موجوده خالص بس هنا + +509 +00:38:00,240 --> 00:38:01,480 +بدي أعتبره إنه شباك + +510 +00:38:25,590 --> 00:38:26,990 +I1I2I3I4I5I6I7I8I9I10I11I12I13I14I15I16I17I18I20I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21 + +511 +00:38:27,570 --> 00:38:32,230 +بيصير التنتين على التوازي تمام وهي لها قيمة بيصير + +512 +00:38:32,230 --> 00:38:36,230 +هدول التنتين توازي ولا مش توازي هدول توازي قيمتهم + +513 +00:38:36,230 --> 00:38:39,750 +جدش أربعة في ثمانية ثانية و تلاتين على اتنين بقدر + +514 +00:38:39,750 --> 00:38:43,610 +أجيب R equivalent للتانين بجمعهم على أربعة بجيب R + +515 +00:38:43,610 --> 00:38:46,850 +equivalent على عشرة بقدر أجيب I equivalent اللي هي + +516 +00:38:46,850 --> 00:38:51,250 +I واحد خليني أشوف ايش كاتب بيقولي R equivalent عشرة + +517 +00:38:51,250 --> 00:38:56,040 +سنة توازي بتساوي أربعة زائد التنتين على التوازي + +518 +00:38:56,040 --> 00:38:59,440 +بتوصله مع الأربع على التوالي ولا لأ؟ فهذه التوازي + +519 +00:38:59,440 --> 00:39:05,460 +32×12 هي 6.7 Ohm هذي R equivalent تحت الدائرة بقدر + +520 +00:39:05,460 --> 00:39:09,340 +أجيب I equivalent لان ولا لأ؟ بتساوي عشرة على هذا + +521 +00:39:09,340 --> 00:39:12,660 +المبلغ طب I واحد هي نفسها I equivalent ولا لأ؟ + +522 +00:39:14,030 --> 00:39:17,850 +فبيقول لي اشتري عليها بيقول لي اي واحد هي نفسها + +523 +00:39:17,850 --> 00:39:21,210 +equivalent بالسنة عشرة على ستة بون سبعة تلقى واحد + +524 +00:39:21,210 --> 00:39:25,410 +ونص أمبير طب واحد ونص أمبير هدى واحد ونص أمبير + +525 +00:39:25,410 --> 00:39:28,930 +هدول كيه بتجيبوا مش هدول يجسموا هدى بدياخد حصة و + +526 +00:39:28,930 --> 00:39:34,450 +هدى بدياخد حصة تقدر تقوله حصة هدى ضعيف حصة هدى ليه + +527 +00:39:34,450 --> 00:39:37,810 +فهدى أربعة واحد ثمانية هدى ضعف لإن بيجسم على تلاتة + +528 +00:39:39,090 --> 00:39:42,990 +لأ مش نفس الشيء بقى أنا بقول هذه فاف هذه إذا + +529 +00:39:42,990 --> 00:39:46,030 +واحد بتاخد واحد واحد بتاخد نص فإنه بتجسم الواحد + +530 +00:39:46,030 --> 00:39:48,970 +نص ع طلعته يعني زي ما بيعملوا في الميرات لما + +531 +00:39:48,970 --> 00:39:50,870 +يكونوا قاعدين بيقولوا جسدنا أنا أنا أنا أنا أنا أنا + +532 +00:39:50,870 --> 00:39:51,330 +أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا + +533 +00:39:51,330 --> 00:39:51,770 +أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا + +534 +00:39:51,770 --> 00:39:52,010 +أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا + +535 +00:39:52,010 --> 00:39:53,990 +أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا + +536 +00:39:53,990 --> 00:39:54,230 +أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا + +537 +00:39:54,230 --> 00:40:01,710 +أنا أنا أن هو المصدر واحد هي زي جهود واحد المصدر + +538 +00:40:01,710 --> 00:40:05,090 +واحد عندهم عشر حصص بجاسمه على عشر حصص وواحد اللي + +539 +00:40:05,090 --> 00:40:10,670 +بياخد حصته ومبغوظ الكل من البلاد والبيت بتاخد + +540 +00:40:10,670 --> 00:40:11,510 +حصة + +541 +00:40:37,670 --> 00:40:46,390 +خلينا نرجع لأصل شغل الملف الملف شباب هو جهاز + +542 +00:40:46,390 --> 00:40:53,010 +لتخزين الطاقة المغناطيسية في إنه جهاز بيخزن الطاقة + +543 +00:40:53,010 --> 00:40:58,690 +الكفاسيتر هو جهاز لتخزين الطاقة الكهربائية U تبعت + +544 +00:40:58,690 --> 00:41:05,920 +الكفاسيتر بساوي نص Q تربيع على C أياما حسبت كداش U + +545 +00:41:05,920 --> 00:41:09,120 +للكباسيتر كيف حسبتها؟ قولت الكباسيتر هو كيبتها + +546 +00:41:09,120 --> 00:41:13,860 +بيشحن بيمكن شحنات من طرف لطرف ونقل الشحنات من طرف + +547 +00:41:13,860 --> 00:41:18,100 +لطرف بيرد الشغل حسبت الشغل قولت هي الطاقة الآن + +548 +00:41:18,100 --> 00:41:23,400 +بنفس الكيفية بدي أحاول أنا وياكم نشتق قانون يقول + +549 +00:41:23,400 --> 00:41:26,420 +الطاقة المغناطيسية اللي بتحكي عنها هي جدش قيمتها + +550 +00:41:26,420 --> 00:41:31,120 +وايش علاقتها بالتيار بيقول لي ارجع انت لدائرتك اللي + +551 +00:41:31,120 --> 00:41:32,780 +هي هذه الدائرة + +552 +00:41:39,720 --> 00:41:45,280 +هذه y وهذه r وهذه a اشخر على كده شوف كلها اشتغلت + +553 +00:41:45,280 --> 00:41:48,440 +على كده شوف طلعت عندي هذه المعادلة صح ولا لأ؟ الأصل + +554 +00:41:48,440 --> 00:41:52,860 +بعد مدة معينة أنا بقول الملف بطل يشتغل لكن هذا لا + +555 +00:41:52,860 --> 00:41:56,480 +يعني إنه ما خزنش طاقة خزن طاقة عشان كده لما أفتح + +556 +00:41:56,480 --> 00:42:00,860 +المفتاح بيشتغل من أول وجديد لإن كان الطاقة يتخزن + +557 +00:42:00,860 --> 00:42:04,720 +تشتغل فهو في طاقة خزنت برغم إنه بطل يشتغل لكن دوا + +558 +00:42:04,720 --> 00:42:07,360 +طاقة خزنت بالدعسبة قال لي طيب انت اشتغلت على + +559 +00:42:07,360 --> 00:42:11,680 +كيرشوف واحدة هي بصحي لي أضرب المعادلة بأي شيء؟ أي + +560 +00:42:11,680 --> 00:42:14,560 +معادلة بصحي لي أضربها بأي حاجة؟ قال لي اضربها ب I + +561 +00:42:16,240 --> 00:42:18,440 +multiplying the above equation by I واش اللي + +562 +00:42:18,440 --> 00:42:21,680 +استفدته؟ اللي استفدته شغلات كثير الشيء هدى I في + +563 +00:42:21,680 --> 00:42:24,840 +V power وهدى طب هدى ممنوع .. م .. م .. م .. م .. + +564 +00:42:24,840 --> 00:42:25,000 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +565 +00:42:25,000 --> 00:42:25,180 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +566 +00:42:25,180 --> 00:42:25,620 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +601 +00:44:51,670 --> 00:44:55,930 +هذا المصرحات نشوف المثال بقول consider once again + +602 +00:44:55,930 --> 00:44:58,130 +there are circuits shown in the figure بقول هذه + +603 +00:44:58,130 --> 00:45:02,060 +الدائرة اللي كانت عندك ماذا يقول؟ With the switch + +604 +00:45:02,060 --> 00:45:05,540 +is thrown to point two after being on position one + +605 +00:45:05,540 --> 00:45:08,460 +for a long time. يقول هذا المفتاح كان فيه أول عند + +606 +00:45:08,460 --> 00:45:11,740 +واحد. لما كان عند واحد معناته كان شبك بالبطارية + +607 +00:45:11,740 --> 00:45:16,490 +ولا لأ؟ كان شبك بالبطارية وستنت عليه. سنت عليه لما + +608 +00:45:16,490 --> 00:45:20,910 +بطل الملف يشتغل لكن لما بطل الملف يشتغل خزن طاقة + +609 +00:45:20,910 --> 00:45:25,230 +ولا ماخزنش طاقة؟ خزن طاقة وقيمتها توي أنا وياكم + +610 +00:45:25,230 --> 00:45:31,010 +اشتقيتها بتساوي نص الـ I تربيع إذا you شباب اللي + +611 +00:45:31,010 --> 00:45:38,130 +اتخزنت الآن نص الـ I تربيع حلو بقول لي بعد ما خزن + +612 +00:45:38,130 --> 00:45:41,550 +المفتاح بدي اجيبه من واحد و احطه على اثنين بقول لي + +613 +00:45:41,550 --> 00:45:45,900 +وين الطاقة اللي بدأت روحكم؟ بدي امسك المقاومة + +614 +00:45:45,900 --> 00:45:49,820 +وامسكها تسخن صح؟ ميلاده بدي يكون مرتيار ولا لا؟ طب + +615 +00:45:49,820 --> 00:45:53,980 +هذه الطاقة الممتق يقول أن الطاقة اللي فقدت هنا + +616 +00:45:53,980 --> 00:45:57,420 +بتثير الطاقة اللي كانت مخزنة هنا صح ولا لا؟ طبعا + +617 +00:45:57,420 --> 00:46:00,320 +عن اعتبارها نظريا احنا هنا ما نعتبرهاش ليش طاقات اه + +618 +00:46:00,320 --> 00:46:03,480 +لكن هي نظرية موجودة هنا لما تنسك هذا برضه بتلاقي + +619 +00:46:03,480 --> 00:46:06,760 +سخن في طاقة لكن احنا بنعتبر أن هذا ما فيش طاقة + +620 +00:46:06,760 --> 00:46:10,200 +بيقول اثبت أن الطاقة اللي فقدت هنا هي هي نفسها + +621 +00:46:10,200 --> 00:46:15,100 +كلها اللي كانت مخزنة هنا ايش بيقول هنا السؤال؟ بقول + +622 +00:46:15,100 --> 00:46:18,360 +طبعا with a switch in the throne to point two + +623 +00:46:18,360 --> 00:46:21,640 +after being on position one for a long time عشان + +624 +00:46:21,640 --> 00:46:24,880 +يقول لي في طاقة مخزنة وخلصت منها تمام show that + +625 +00:46:24,880 --> 00:46:29,300 +all the energy initially stored in the inductor + +626 +00:46:29,300 --> 00:46:33,380 +اللي كانت مخزنة في الـ inductor appears as internal + +627 +00:46:33,380 --> 00:46:36,640 +energy in the resistor as the current decays to + +628 +00:46:36,640 --> 00:46:40,600 +zero طيب أنا بعرف تبعت المقاومة بقول الـ power + +629 +00:46:40,600 --> 00:46:47,340 +بالساوي I تربيع في الـ R صح ولا لأ؟ هذه الـ power هي + +630 +00:46:47,340 --> 00:46:54,540 +عبارة عن du على dt بظبط ولا لأ؟ هذه الـ u إذا طلعت + +631 +00:46:54,540 --> 00:46:59,080 +هذه كلامك صح هذه المهمة دي جيبها لما أنا قاعد + +632 +00:46:59,080 --> 00:47:03,840 +بأشبك هذا التيار شباب I بتساوي I not ايه تبقى و + +633 +00:47:03,840 --> 00:47:08,230 +ناقص T على T هي طيب لما أكون أ فُك مش واحد ناقص لان + +634 +00:47:08,230 --> 00:47:13,350 +أنا بفُك طيب ربّحها بيصير الـ power بيساوي I naught + +635 +00:47:13,350 --> 00:47:18,050 +تربية بيبقى power ناقص اثنين T على Tau وهي أحطها + +636 +00:47:18,050 --> 00:47:25,030 +هنا بالمرة بيساوي Du على Dt هذا هي عشان أطلع U ايش + +637 +00:47:25,030 --> 00:47:34,940 +ممكن تسوي؟ ممكن تكمل؟ Du بتساوي I0 تربيع في الـR E² + +638 +00:47:34,940 --> 00:47:42,260 +-2T على TAU DT كامل + +639 +00:47:42,260 --> 00:47:45,620 +عشان نطلع الـ U لازم تطلع حد يه رباكم إذا ما طلعتش + +640 +00:47:45,620 --> 00:47:52,440 +حد يه فيه مشكلة كامل هنا ذاكر كامل أنت لنزيله لـD + +641 +00:47:52,440 --> 00:47:58,560 +و ها دي ماهي DU واضحة تمام هذي U بتساوي I0 تربيع + +642 +00:47:58,560 --> 00:48:06,140 +على الـ R نفس هو بتتجسم على الثابت صح ولا لأ فهذه + +643 +00:48:06,140 --> 00:48:13,980 +عبارة عن E تبارك ناقص 2T على T وT تتجسم على 2T + +644 +00:48:13,980 --> 00:48:20,420 +بالسالب طبعا السالب بضيع منه من Zero ل T فهنا في + +645 +00:48:20,420 --> 00:48:25,200 +سالب أخليها من T ل Zero عشان أضيع السالب مظبوط يكو + +646 +00:48:25,200 --> 00:48:31,260 +ولا لأ تمام قال لي يللا أشتغل هذي T و هدى حطينا ال + +647 +00:48:31,260 --> 00:48:37,560 +T كل شي تمام هدى صارت اي نوع التربية R على اثنين + +648 +00:48:37,560 --> 00:48:45,720 +ال tau ايش بتساوي ال R ايه تبار ناقص اثنين T على + +649 +00:48:45,720 --> 00:48:52,880 +tau مظبوط هيك ولا لأ تمام ال هي T + +650 +00:49:02,590 --> 00:49:09,230 +طيب هدى ال R مع ال R هدى راحت تمام هدى النص اجت + +651 +00:49:09,230 --> 00:49:18,750 +شباب هدى في هدى هي I تربيع صح اذا طلعت بالظبط هنا + +652 +00:49:18,750 --> 00:49:26,490 +نص الـ I تربيع إذا صح الكلام طبعا نظريا عمليا بتلاقي + +653 +00:49:26,490 --> 00:49:29,430 +هنا في شرط طاعة بصحيح أننا اعتبرينها طبعا أنا هنا + +654 +00:49:29,430 --> 00:49:33,610 +عاملها على طول أنا مبين هنا عندي صفحة بيضاء طلعت + +655 +00:49:33,610 --> 00:49:36,810 +على هنا لاجيتها زرقاء أجري ملأها تمه + +656 +00:49:43,450 --> 00:49:46,650 +It is meant that the current decay as I بسهولة I + +657 +00:49:46,650 --> 00:49:49,890 +not اتبع و ناقص T على τاو بس حطت التاو على طول I + +658 +00:49:49,890 --> 00:49:53,730 +على R تمام فهذه تبارك طبعا قانون أن الطيار لما + +659 +00:49:53,730 --> 00:49:56,770 +يكون decreasing هي قانون أن increasing في واحد + +660 +00:49:56,770 --> 00:50:01,880 +ناقص بنميز بحسب السؤال اللي عندنا الـ Power بيساوي + +661 +00:50:01,880 --> 00:50:04,560 +DU على DT بيساوي تربيع على الأرض اللي بتاوي عملت + +662 +00:50:04,560 --> 00:50:09,260 +وبداخل بيقول إذا DU بيساوي التكامل و طلعها نص + +663 +00:50:09,260 --> 00:50:15,240 +العينات تربيع وهذا إثبات على أنه الطاقة اللي خزنت + +664 +00:50:15,240 --> 00:50:17,480 +فيه الـ inductor راحت كلها على + +665 +00:50:25,150 --> 00:50:31,470 +القوانين اللي ثابتة ولي ماحد بحكي عنها إشي لإنه كل + +666 +00:50:31,470 --> 00:50:35,450 +الدنيا شبه مركبة عليها إنه حاجة تاخد من حاجة كلها + +667 +00:50:35,450 --> 00:50:38,770 +سادات ودين زي ما بيحكوها فالأمور هيك تمام بيكفنا + +668 +00:50:38,770 --> 00:50:39,330 +اليوم diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/eWbOXmuvg0Y_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/eWbOXmuvg0Y_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..ee4c2b6f3f756c3ea675f3e5aafb5765cf257371 --- 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1205.36, "text": "تي واش تكرر مولي دي اي على اي لان الا اي اذا الا اي بيساوي على طول من هنا بقول اي بيساوي اي نوت اتبع ناقص تي على تاو هاتلعب طيارة على طول بضربة واحدة بدون اي اشكالية طبعا التاو هنا بيساوي L على R", "tokens": [2655, 1829, 4032, 33599, 6055, 37983, 2288, 3714, 12610, 1829, 11778, 1829, 1975, 1829, 15844, 1975, 1829, 5296, 7649, 42963, 1975, 1829, 1975, 15730, 42963, 1975, 1829, 4724, 1829, 3794, 995, 45865, 15844, 23032, 12610, 9154, 34105, 4724, 39648, 1975, 1829, 4724, 1829, 3794, 995, 45865, 1975, 1829, 8717, 35473, 1975, 2655, 3555, 3615, 8717, 995, 4587, 9381, 6055, 1829, 15844, 6055, 995, 2407, 8032, 9307, 1211, 3615, 3555, 23032, 1829, 9640, 3660, 15844, 23032, 12610, 4724, 11242, 25513, 3660, 36764, 24401, 3660, 47525, 11536, 1975, 1829, 1975, 8592, 4117, 6027, 10632, 23032, 3555, 3615, 995, 16712, 995, 2407, 34105, 4724, 1829, 3794, 995, 45865, 441, 15844, 497], "avg_logprob": -0.3297018468926806, "compression_ratio": 2.035502958579882, "no_speech_prob": 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+current and increasing in magnetic fluxنفس الظاهرة + +7 +00:00:43,850 --> 00:00:48,730 +بتطلع لما نفتح المفتاح لما في هذه الحالة the + +8 +00:00:48,730 --> 00:00:52,990 +current and so the magnetic flux decreasing from + +9 +00:00:52,990 --> 00:00:58,170 +specific value to zero مزال صار في change of + +10 +00:00:58,170 --> 00:01:02,230 +magnetic flux بحسب قانون فردال بيقول في عندي + +11 +00:01:02,230 --> 00:01:08,280 +induced electric currentinduce current لز جال هذا + +12 +00:01:08,280 --> 00:01:12,120 +ال current دائما بيعمل معاكسة عشان مبدأ ال + +13 +00:01:12,120 --> 00:01:17,580 +conservation of energy يظل محفظ ومحافظ عليه الان + +14 +00:01:17,580 --> 00:01:21,880 +كتطبيق عشان نشوف بالظبط أيش اللي صار وكيف بتصير + +15 +00:01:21,880 --> 00:01:27,440 +عملية التغيير وكيف المعادلات الرياضية بتربط عملية + +16 +00:01:27,440 --> 00:01:32,400 +الحث الذاتي الحث الذاتي قولنا أي سلك له حث لكن + +17 +00:01:32,400 --> 00:01:37,400 +السلك اللي له حث معقولهو ال coil واتفقنا انه + +18 +00:01:37,400 --> 00:01:43,540 +هانمثل اي coil من يوم ما طالع برمز السولينويد هو + +19 +00:01:43,540 --> 00:01:49,160 +هذا الا هو ال impactance تبع اي coil او تبع اي + +20 +00:01:49,160 --> 00:01:53,000 +impactor اللي واحدة تبعته هنري وهي volt second على + +21 +00:01:53,000 --> 00:01:56,320 +امبير في عندي الدائرة اللي انتوا شايفينها انا عندي + +22 +00:01:56,320 --> 00:01:59,120 +الدائرة في عندي حالتين الها لا بشبكها مع البطارية + +23 +00:01:59,120 --> 00:02:02,880 +لا بفكها من البطارية اذا انا شبكتها عن رقم واحد + +24 +00:02:03,590 --> 00:02:07,970 +بيصير البطارية مشبوكة بمرطيار من البطارية الاصل + +25 +00:02:07,970 --> 00:02:13,430 +بمرطيار حسب ما أخدنا المرة الماضية هذا الطيار + +26 +00:02:13,430 --> 00:02:19,690 +يعاقق للحظات المعينة بفعل وجود الملف بعد كده + +27 +00:02:19,690 --> 00:02:25,740 +الطيار يصل إلى قيمته العظمى تماملما اجي المفتاح + +28 +00:02:25,740 --> 00:02:28,580 +بعد ما يكون هنا بيقعه ويحطه من هنا بيجي فوق + +29 +00:02:28,580 --> 00:02:33,240 +الفطارية الطيار المفروض يكون لزيرو يروح برضه ذهابه + +30 +00:02:33,240 --> 00:02:39,440 +لزيرو بياخد بعض الوقت بفعل ال self inductance اللي + +31 +00:02:39,440 --> 00:02:44,940 +موجود في الملف الآن بدنا نشرح معادلات رياضية + +32 +00:02:44,940 --> 00:02:48,220 +اتكلمنا هذه الظاهرة بيقول لي + +33 +00:02:51,220 --> 00:02:55,700 +consider the RL circuit shown فيها عندي ال RL + +34 +00:02:55,700 --> 00:02:59,060 +circuit اللي تشايفينها suppose that the switch is + +35 +00:02:59,060 --> 00:03:03,460 +thrown to point one at T equal to zero applying + +36 +00:03:03,460 --> 00:03:08,300 +Kirchhoff's loop to the circuit at T at any time + +37 +00:03:08,300 --> 00:03:12,360 +بحججت أنا بعد ما أسكره هيك شباب هيك صعب صار في + +38 +00:03:12,360 --> 00:03:15,160 +عندي loop مغلقة الآن ولا لأ؟ في عندي loop مغلقة + +39 +00:03:15,160 --> 00:03:20,420 +تتكون من أكم عنصربتتكون من العناصر التلاتة بطارية + +40 +00:03:20,420 --> 00:03:27,980 +مقاومة وملف كيرتشوف بقول مجموع فروق الجهود بين كل + +41 +00:03:27,980 --> 00:03:32,310 +التلاتة العناصر هدول اللي نساوي Zeroفرق الجهد بين + +42 +00:03:32,310 --> 00:03:37,830 +طرفي البطارية هي Inf إبسلون فرق الجهد بين طرفي أي + +43 +00:03:37,830 --> 00:03:43,330 +مقاومة بتسوي I في R حسب قانون Ohm فرق الجهد بين + +44 +00:03:43,330 --> 00:03:48,390 +طرفي أي ملف اللي اتعلمناه من اليوم مطالع أن إبسلون + +45 +00:03:48,390 --> 00:03:58,060 +تبعت L بتساوي سالب L Di على Dtاذا هذا هو العنصر + +46 +00:03:58,060 --> 00:04:02,260 +الجدي اللي يجي معايا شباب انه فرق الجهد بين طرفي + +47 +00:04:02,260 --> 00:04:06,140 +أي ملف يُعطى بالقيمة هذه يالا نشتغل على كده شوف + +48 +00:04:06,140 --> 00:04:12,340 +بدي أبجى من هان و أمشي مع قارب الساعة ايش بجانب + +49 +00:04:12,340 --> 00:04:18,460 +اللي الأول بطارية معايا ابسلون الطيارة معايا سالب + +50 +00:04:18,460 --> 00:04:23,940 +I في ال R بجانب النهار دهايش فرق يحضر؟ بدقولها + +51 +00:04:23,940 --> 00:04:27,360 +قيمة وحط زائد او ناقص هو اصلا ياللي ناقص دائما + +52 +00:04:27,360 --> 00:04:31,880 +لانه معاكس اصلا تمام؟ ولو اجيت انا بدي اعمل معاملة + +53 +00:04:31,880 --> 00:04:35,300 +بطارية هو لما المرة دي حكيت ان هنا في عندى طيار + +54 +00:04:35,300 --> 00:04:38,700 +تبع البطارية و هنا طيار تبع الملف وكأنه هنا + +55 +00:04:38,700 --> 00:04:42,000 +positive هنا negativeبصير وبالتالي بيكون الانف + +56 +00:04:42,000 --> 00:04:44,720 +تبقى على عكس البطارية فلازم يكون سالب بكل أحوال + +57 +00:04:44,720 --> 00:04:48,380 +ويحطط السالب حسب قاعدة lens عشان يأكد هذا الشيء ان + +58 +00:04:48,380 --> 00:04:51,620 +في عملية المعاكسة دائما فهو المناف دائما معاكس + +59 +00:04:51,620 --> 00:04:57,060 +للاصل الحث الذاتي او الحثية الذاتية فبقولي بهذه + +60 +00:04:57,060 --> 00:05:01,620 +الحالة لما تيجي انتقبّل قاعدة كيرشوف هتطلع لك هذه + +61 +00:05:01,620 --> 00:05:07,280 +المعادلة إبسلون ماينوس آي في ال R ماينوس L DI على + +62 +00:05:07,280 --> 00:05:15,110 +DT equal to zero حلو هذه معادلة تفضلية يا شبابمن + +63 +00:05:15,110 --> 00:05:18,910 +درجة ايش؟ الأولى المفروض ان المعادلة سهلة الدرجة + +64 +00:05:18,910 --> 00:05:22,770 +الأولى سهل حلها لكن برضه بتا شوية شغل خلنا نحلها + +65 +00:05:22,770 --> 00:05:25,390 +احنا و اياكم طبعا احنا نحلها بدون مملاعف + +66 +00:05:25,390 --> 00:05:29,910 +differential equation وانفلتنا من ال rules تبع حل + +67 +00:05:29,910 --> 00:05:32,810 +differential equations بنحلها بطريقة سريسة جدا + +68 +00:05:32,810 --> 00:05:37,730 +انقول هذه معادلة بدي اجسم هذه المعادلة على ارض صح + +69 +00:05:37,730 --> 00:05:43,690 +ليه؟خلّيني أنحلها هنا بصحيح اللي اقول ابسرن على R + +70 +00:05:43,690 --> 00:05:52,830 +minus I minus L على R DI over DT equal to 0 ولا + +71 +00:05:52,830 --> 00:05:56,630 +لأ؟ في إشكالية هيك؟ عادي مافيش .. ماناش جعبة طيب + +72 +00:05:56,630 --> 00:06:04,910 +بقولي هذا خلّيها X غير شوية variables بقولي لكy + +73 +00:06:04,910 --> 00:06:10,350 +على r minus i equal to x x variable اي variable + +74 +00:06:10,350 --> 00:06:18,250 +قال فابر طلفي المعادلة هدى y على r constant هدى y + +75 +00:06:18,250 --> 00:06:22,950 +على r constant يعنى انت ماشي زمن بتتغير y او r لأ + +76 +00:06:22,950 --> 00:06:29,730 +طيب اذا معناته بقدر اقول من هنا ناقص di equal to + +77 +00:06:29,730 --> 00:06:30,210 +dx + +78 +00:06:32,920 --> 00:06:36,460 +مظبط ولا لأ انا اعتبر ان هذه zero هذه ناقص صار دي + +79 +00:06:36,460 --> 00:06:41,020 +اي و هذه صار دي اكس اتفقنا بدل هذه ايش بتحط محلها + +80 +00:06:41,020 --> 00:06:50,240 +اكس اذا اكس ناقص L على R ايش هحط بدل دي اي سالب دي + +81 +00:06:50,240 --> 00:06:53,900 +اكس مظبط ولا لأ اذا بدل دي اي هحط سالب دي اكس + +82 +00:06:58,090 --> 00:07:03,350 +فاكثرة لأ X هذه مش position ها هذي X variable تمام + +83 +00:07:03,350 --> 00:07:05,790 +ال X تبعت ال calculus شبهت غير X تبعت ال physics + +84 +00:07:05,790 --> 00:07:09,530 +ال X تبعت ال calculus أي حاجة بتتخيلها بتكون هي + +85 +00:07:09,530 --> 00:07:13,210 +تمام ممكن تكون زمن ممكن تكون mass ممكن تكون volume + +86 +00:07:13,210 --> 00:07:15,790 +ممكن تكون area ممكن تكون energy ممكن تكون power + +87 +00:07:15,790 --> 00:07:18,730 +بداكيها بتكون أما ال X تبعت ال physics position + +88 +00:07:18,730 --> 00:07:22,010 +وبالتالي دي X على دي key بتكون V لإن هذي X + +89 +00:07:22,010 --> 00:07:23,930 +unvariable تمام احكي + +90 +00:07:26,480 --> 00:07:32,780 +بالنسبة للتفاضل فهي فاضل الترفيه المعادل فهي فاضل + +91 +00:07:32,780 --> 00:07:34,060 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +92 +00:07:34,060 --> 00:07:35,340 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +93 +00:07:35,340 --> 00:07:35,800 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +94 +00:07:35,800 --> 00:07:36,200 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +95 +00:07:36,200 --> 00:07:38,420 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +96 +00:07:38,420 --> 00:07:45,540 +الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل + +97 +00:07:45,540 --> 00:07:52,760 +الترفيه المعادل فهي فاضل الترفيه + +98 +00:07:52,760 --> 00:07:59,960 +المعادل فهي فبتسوي سالب L على R DX دلوقت ارتبته + +99 +00:07:59,960 --> 00:08:04,220 +ليه؟ ورتبت المعادلة صحيح ولا لأ؟ مافيش اي اشكالية، + +100 +00:08:04,220 --> 00:08:09,960 +قولت X DT بتسوي سالب L على R DX طيب، هذي جيبها هنا + +101 +00:08:09,960 --> 00:08:14,440 +و هذول جيبهم هنا هذي جيبها، يعني جسم المعادلة على + +102 +00:08:14,440 --> 00:08:21,500 +X يعني بصي واحد على X، اذا بصي المعادلة DX على X + +103 +00:08:23,090 --> 00:08:31,290 +بتساوي سانب R على L DT تمام؟ + +104 +00:08:31,290 --> 00:08:34,330 +عشان انا عارف اشتغل، هاجيت ماعرف اشتغل هاجيت بديها + +105 +00:08:34,330 --> 00:08:42,470 +كامل بكامل تعرفي المعادلة هذه من صفر ل T دائما هذه + +106 +00:08:42,470 --> 00:08:50,570 +عند صفر بتكون X Note وهذه X أي Xأيش تكامل DX على X + +107 +00:08:50,570 --> 00:08:56,030 +لن ال X من X ل X not لن X على X not صحيح لأ إذا + +108 +00:08:56,030 --> 00:09:02,870 +أنا صاحب عندي لن X over X not بالساوي سالب R على L + +109 +00:09:02,870 --> 00:09:09,570 +ايش تكامل DT كامده + +110 +00:09:09,570 --> 00:09:15,670 +دي بال X بقول X على X not equal E to power minus R + +111 +00:09:15,670 --> 00:09:25,960 +على L في ال Tصحيح؟ تمام؟ اذا x equal x naught اتبع + +112 +00:09:25,960 --> 00:09:30,900 +ناطس R على L في الـT متفقين ايه يا شباب ولا لأ؟ + +113 +00:09:30,900 --> 00:09:36,040 +اجعش ليه x؟هو معناه .. هيرجع حاجة تقول اكس نوت على + +114 +00:09:36,040 --> 00:09:41,480 +ا ر ماقص I بتساوي .. ايش X note؟ قال ال X note هي + +115 +00:09:41,480 --> 00:09:46,720 +قيمة X عن T بتساوي سفر .. صح قال ان T بتساوي سفر + +116 +00:09:46,720 --> 00:09:50,440 +.. كان في تيار؟ لأ .. اذا بقدر اقول X note هي اكس + +117 +00:09:50,440 --> 00:09:52,980 +نوت على R ولا لأ؟ هي اكس نوت على I .. اذا بدي ال X + +118 +00:09:52,980 --> 00:09:57,520 +note بتحط اكس نوت على R .. ايه تبقى؟ ماقص R على LT + +119 +00:09:58,610 --> 00:10:05,930 +طيب هيتهادي بتوديها هناك تمام فبتصير I بتساوي Y + +120 +00:10:05,930 --> 00:10:15,010 +على R واحد ناقص E طبعا ناقص R على L في ال T هاي + +121 +00:10:15,010 --> 00:10:19,070 +الطيار طلع معايا ايش طلع معايا الطيار بيقول الطيار + +122 +00:10:19,070 --> 00:10:25,390 +بيتمد على الزمن عن ماله بتغيربيجيش له قيمة ثابتة + +123 +00:10:25,390 --> 00:10:29,210 +معينة باعتمد على الزمن طبعا انا هنا مش شريحة كاملة + +124 +00:10:29,210 --> 00:10:31,910 +لأنه على اعتبار احنا الاشتقاق اللي هو معادلة + +125 +00:10:31,910 --> 00:10:36,710 +تفاضلية مش مطلوب مننا انه نحفظه لأنه دي حال معادلة + +126 +00:10:36,710 --> 00:10:40,130 +تفاضلية by chance مرات الحل بيكون سهل اتعامل معه + +127 +00:10:40,130 --> 00:10:42,970 +ونفهمه ومرات بيكون زي ما عملنا في ال simple + +128 +00:10:42,970 --> 00:10:45,630 +harmonic motion بيكون ال second order differential + +129 +00:10:45,630 --> 00:10:49,530 +equation بقول ان هاي الحلوانت راح حالك اتحقق ان هو + +130 +00:10:49,530 --> 00:10:52,910 +هذا حل ولا لا على اعتبار انا مابقدرش احل زي simple + +131 +00:10:52,910 --> 00:10:58,570 +harmonic motion of sine و cosine تمامهو طبعا هنا + +132 +00:10:58,570 --> 00:11:03,530 +ايش عامل بيقول it is not difficult to verify that + +133 +00:11:03,530 --> 00:11:06,390 +the solution of the differential equation given in + +134 +00:11:06,390 --> 00:11:09,590 +the above is هاي علاقتها يعني هذه هي نفس العلاقة + +135 +00:11:09,590 --> 00:11:13,090 +اللي جيبتها دي بس إيش ال tau هنا حطها إلا على R + +136 +00:11:13,090 --> 00:11:15,990 +عكس هذه إلا على R عشان بحطها في المقام إلا على R + +137 +00:11:15,990 --> 00:11:20,210 +طبعا إيش حطها تاو وبدأها تذكر تاو تبعت الكبسيطر RC + +138 +00:11:20,210 --> 00:11:25,450 +قال بعد ما حد .. قال إيش هذه وحدتها انبيل طبعا إيش + +139 +00:11:25,450 --> 00:11:29,790 +هذه برضه طيارمظبوط اذا هذه امبير اذا مقولها الجسم + +140 +00:11:29,790 --> 00:11:35,670 +منها كل وحدةطبعا إذا هذه T قال لي إذا معناته R على + +141 +00:11:35,670 --> 00:11:39,930 +L لازم تكون واحدة على T أو L على R لازم تكون T لما + +142 +00:11:39,930 --> 00:11:44,470 +شوف L على R شباب L على R تقول هذه O فاهمينها احنا + +143 +00:11:44,470 --> 00:11:48,110 +من أول و إيه ال Henry و ال Henry Volt سكن على + +144 +00:11:48,110 --> 00:11:52,630 +أمبير ولا لأ هذه ال Henry Volt سكن على أمبير قاللي + +145 +00:11:52,630 --> 00:11:57,190 +هذه شيهية ال O ما هي Volt على أمبير هذه مع هذه و + +146 +00:11:57,190 --> 00:12:01,840 +هذه مع هذه طلعت سكن صحيحةإذا جلّي L على R اعتبرها + +147 +00:12:01,840 --> 00:12:06,620 +time و هي time لأن في النهاية أي كمية فيزيائية + +148 +00:12:06,620 --> 00:12:10,740 +وحدتها second او hour او يوم او شهر معناته الزمن + +149 +00:12:10,740 --> 00:12:14,700 +قطعا فهي طلّالي هذه المعادلة طبعا I maximum هنا + +150 +00:12:14,700 --> 00:12:19,720 +إيش بتسوي إبسلون على R with I maximum بتسوي إبسلون + +151 +00:12:19,720 --> 00:12:22,900 +على R طبعا أنا هذه حالتها لو احنا ماعرفش في ال + +152 +00:12:22,900 --> 00:12:28,630 +calculus بسمع جرب أقول كيف بيتأكد أن هذه شبابهي حل + +153 +00:12:28,630 --> 00:12:33,630 +هذه المعادلة كيف بدي أتأكد؟ بدي أنا عوّد، مظبوط + +154 +00:12:33,630 --> 00:12:36,450 +ولا لأ؟ يعني لو أنا بعشت differential equation و + +155 +00:12:36,450 --> 00:12:38,870 +واحد قالك هاي الحل، بقول يلا نشوف هم يصدقونك ولا + +156 +00:12:38,870 --> 00:12:39,630 +هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم + +157 +00:12:39,630 --> 00:12:40,430 +هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم + +158 +00:12:40,430 --> 00:12:44,110 +هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم + +159 +00:12:44,110 --> 00:12:44,110 +هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم + +160 +00:12:44,110 --> 00:12:51,870 +هم هم هم هم هم هم هم هم ه + +161 +00:12:53,480 --> 00:12:56,420 +هل بتطلع حال ولا لا؟ احنا حال لا طبعا وبالتالي + +162 +00:12:56,420 --> 00:12:59,940 +قدرنا تطلع حال لكن انا هنا في ال .. في الشرايح + +163 +00:12:59,940 --> 00:13:03,440 +تبقى ال power point مش حيلها على اعتبار انه احنا + +164 +00:13:03,440 --> 00:13:08,100 +مش .. مش معنيين كتير هجد دي I على دي K مين اشتق + +165 +00:13:08,100 --> 00:13:11,520 +ليها؟ يلا يا جبرت هذي المعادلة تعرفت تشتقوا ال + +166 +00:13:11,520 --> 00:13:18,120 +exponential ولا لا؟ يلا اشتقوا I maximum في واحد + +167 +00:13:18,120 --> 00:13:23,020 +في الأول جداش؟I maximum في واحد افتقها Zero Zero + +168 +00:13:23,020 --> 00:13:27,340 +Zero التاني I maximum في ال exponential في سلب هنا + +169 +00:13:27,340 --> 00:13:34,000 +و بيجيك سلب من هنا راح فبصير I maximum على tau E + +170 +00:13:34,000 --> 00:13:38,480 +to power minus T على tau صح شبابيكوا او لا؟ طبعا I + +171 +00:13:38,480 --> 00:13:42,240 +maximum احنا بيقولين ايبسلون على R ها دي بيجي لها + +172 +00:13:42,240 --> 00:13:49,970 +ايبسلون على Rتاو بتساوي L على R L على R اتباوت + +173 +00:13:49,970 --> 00:13:57,770 +ناقص T على تاو نجي نعود بقول اكسلو minus I I + +174 +00:13:57,770 --> 00:14:07,680 +maximum plus I maximum اتباوت ناقص T على تاو- L Di + +175 +00:14:07,680 --> 00:14:11,440 +على Dt هدى مع هدى راحت و هدى راحت صارت عندى + +176 +00:14:11,440 --> 00:14:21,160 +epsilon ايه طب هو ناقص T على Tau تمام هدى احنا + +177 +00:14:21,160 --> 00:14:28,720 +غلطنا حاجة لأ في Tau I maximum اه في R I maximum + +178 +00:14:28,720 --> 00:14:34,500 +هدى R و هدى R تمام هدى تصبحوا ايه لا بتظهرش الا + +179 +00:14:34,500 --> 00:14:41,930 +هيكهذه I مكسما متفقنا Y على A فهذه ضيعت هذه شباب + +180 +00:14:44,300 --> 00:14:51,700 +فهي zero صحيحة اذا الحل صحيح اكيد لان I maximum في + +181 +00:14:51,700 --> 00:14:55,680 +ال R هي إبسلون و I maximum في ال R هي إبسلون مع + +182 +00:14:55,680 --> 00:14:59,480 +هادى بتطير فصحيح معناته الحل في كل أحوال صحيح اما + +183 +00:14:59,480 --> 00:15:02,700 +بتحلوا انت من ال zero و بتاخد الحل او بتقول هذا حل + +184 +00:15:02,700 --> 00:15:06,640 +أمين عوضت هنا طلعت صحيح عملت verification ان هذا + +185 +00:15:06,640 --> 00:15:10,360 +حل احنا في كل أحوال الحل كفاية مش معنيين فيه اما + +186 +00:15:10,360 --> 00:15:14,480 +معنى انه نصدق ان هذا حل للمعادلة هذههذه حل + +187 +00:15:14,480 --> 00:15:17,400 +المعادلة دي لو انا بدي ارسمها شباب ادى انا بدي + +188 +00:15:17,400 --> 00:15:20,380 +ارسمها لو بدي ادى ارسم لو بدي ادى ارسم كده بدي + +189 +00:15:20,380 --> 00:15:26,400 +ارسم انت بتساوي سفر جدش قيمة تاية ليش ايه تباور + +190 +00:15:26,400 --> 00:15:32,340 +Zero واحد ايه تباور Zero واحد واحد نقص واحد Zero + +191 +00:15:32,340 --> 00:15:36,300 +اذا تاية طب بعد زمن طويل ايه تباور سالب من نهاية + +192 +00:15:36,300 --> 00:15:39,280 +سفر فبصير I بيساوي I maximum لو بدي ادى ارسمها + +193 +00:15:39,280 --> 00:15:45,480 +بتطلع حكمة على بصمةالطيار قد شويه توجه تموصل + +194 +00:15:45,480 --> 00:15:49,540 +لنهايته عند + +195 +00:15:49,540 --> 00:15:53,960 +T بالثانو صفر الطيار كان صفر و بعد زمن معين يصبح I + +196 +00:15:53,960 --> 00:15:57,480 +بالثانو I maximum و I maximum هي epsilon على R + +197 +00:15:57,480 --> 00:16:04,800 +القانون ابتدائيتمام and τاو بتساوي L على R بجودة + +198 +00:16:04,800 --> 00:16:09,040 +حكيناها in the time constant of the RL circuit + +199 +00:16:09,040 --> 00:16:13,440 +والتاو هذا زي ما هناك سمته RC وبتساوي ال time + +200 +00:16:13,440 --> 00:16:17,600 +constant of the RC circuit طبعا الملاحظين هناك ال + +201 +00:16:17,600 --> 00:16:23,780 +RC ال C و ال L هنا L على R و هناك RC ففي اختلاف + +202 +00:16:23,780 --> 00:16:28,800 +شوية بسيط عليهمطيب احنا كما تقول حكينا عن كي + +203 +00:16:28,800 --> 00:16:32,460 +بتساوي سفر التيار سفر وعن كي بتساوي من نهاية + +204 +00:16:32,460 --> 00:16:36,140 +التيار بيصير maximum واحنا متفقين لأهم من هذا + +205 +00:16:36,140 --> 00:16:40,560 +الشيء ان ال inductor او الملف لا يعمل الا لفترة + +206 +00:16:40,560 --> 00:16:45,020 +زمنية قصيرة جدا و هي ساعة الإغلاق و ساعة الفتح طب + +207 +00:16:45,020 --> 00:16:50,080 +بعد زمن طويل ايش بيصير دور الملف بيصير silicسلك + +208 +00:16:50,080 --> 00:16:54,200 +عادي يعني short circuit تمام فبنقول it is clear + +209 +00:16:54,200 --> 00:16:58,260 +that ال T بتساوي صفر I بتساوي صفر while as T goes + +210 +00:16:58,260 --> 00:17:04,020 +to من النهاية هذه I I بتساوي I maximum I بتساوي I + +211 +00:17:04,020 --> 00:17:08,100 +maximum this means that القاعدة اللي هي عكس ال + +212 +00:17:08,100 --> 00:17:13,010 +capacitorبتقول the inductor acts as if it were an + +213 +00:17:13,010 --> 00:17:17,250 +open circuit at t بيتساوى 0 and acts as if it were + +214 +00:17:17,250 --> 00:17:20,150 +a wire with negligible resistance at t goes to ملا + +215 +00:17:20,150 --> 00:17:22,870 +نهاية عن t بيبتساوى 0 بيكون open circuit لإن + +216 +00:17:22,870 --> 00:17:25,730 +الطيار بيكون 0 والطيار لا يساوي 0 إلا في ال open + +217 +00:17:25,730 --> 00:17:30,010 +circuits وبرجع سلك normal wire with negligible + +218 +00:17:30,010 --> 00:17:33,650 +resistance لما t goes to ملا نهاية يعني هو سلك + +219 +00:17:33,650 --> 00:17:38,470 +نحاسيطول ولا جسر التف ولا كان عدل في النهاية ما + +220 +00:17:38,470 --> 00:17:41,370 +زال سلك من النحاس كونبكتر انا بعتبر ارتباطه قديش + +221 +00:17:41,370 --> 00:17:46,350 +Zero وبتعامل معاه على هذه الأساس الآن في الدائرة + +222 +00:17:47,340 --> 00:17:51,440 +عشان بس نرجع للدائرة الدائرة الآن بقول انت هيك + +223 +00:17:51,440 --> 00:17:57,000 +وصرت واستنتى عليه المنطق شباب بيقول الملف مش بال + +224 +00:17:57,000 --> 00:18:01,200 +capacitor ال capacitor بيخزن طاقة كهربية والملف + +225 +00:18:01,200 --> 00:18:07,060 +بيخزن طاقة مغناطسية ايه لما حفظت عليه بقول الان + +226 +00:18:07,060 --> 00:18:11,530 +فيه طاقة جوا مخزنة ولا لافي هنا طاقة مخزنة لما افك + +227 +00:18:11,530 --> 00:18:15,470 +هادي و اربط هان الطاقة اللي هان بستفيد منها + +228 +00:18:15,470 --> 00:18:20,890 +بترجعليه عشان كده بتلاقي ان في عندك طيار من وين يه + +229 +00:18:20,890 --> 00:18:25,410 +الطيار نتيجة ال magnetic energy اللي يخزنته هنحسب + +230 +00:18:25,410 --> 00:18:28,330 +كيف خزنته احنا ال magnetic energy و بالظبط كمتها + +231 +00:18:28,330 --> 00:18:29,890 +بيقول هنا + +232 +00:18:33,560 --> 00:18:37,220 +If the battery is suddenly removed by throwing the + +233 +00:18:37,220 --> 00:18:42,040 +switch to point 2 in the circuit and applying + +234 +00:18:42,040 --> 00:18:45,340 +Kirchhoff's rule again المعادلة الأولية كانت + +235 +00:18:45,340 --> 00:18:51,080 +كالتالي أبسلو نقص I في ال R نقص LDI على DT بالساعة + +236 +00:18:51,080 --> 00:18:53,760 +0 ده اللي جيه المفقترية لان ايش بتتوقع يصير + +237 +00:18:57,570 --> 00:19:00,390 +تمام؟ طب بتفهم عندك هذه المعادلة سهل بسهل تصير هذه + +238 +00:19:00,390 --> 00:19:05,490 +زائد زائد و خلاص تصير عندك المعادلة التالية في + +239 +00:19:05,490 --> 00:19:09,930 +الدائرة هذه طيب هذه معادلة برضه differential + +240 +00:19:09,930 --> 00:19:12,290 +equation first order بس هذه سهلة لا بدي x ولا بدي + +241 +00:19:12,290 --> 00:19:15,810 +y لأنه مافيش عندى الحد تبقى المن homogeneous ال + +242 +00:19:15,810 --> 00:19:19,090 +tier حد بيقول هذه سهلة كيف نتعامل معها؟ بقول هذه + +243 +00:19:19,090 --> 00:19:21,590 +نتعامل فيها حكاية تالية تصير + +244 +00:19:24,050 --> 00:19:31,070 +Di على Dt بسوى سالب I في ال R في مشكلة؟ مافي مشكلة + +245 +00:19:31,070 --> 00:19:34,150 +جال يجيب ال I هنا و يضيع و يوضع و يوضع و يوضع و + +246 +00:19:34,150 --> 00:19:34,310 +يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و + +247 +00:19:34,310 --> 00:19:34,510 +يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و + +248 +00:19:34,510 --> 00:19:35,350 +يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و + +249 +00:19:35,350 --> 00:19:40,850 +يوضع و + +250 +00:19:40,850 --> 00:19:40,870 +يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و + +251 +00:19:40,870 --> 00:19:42,030 +يوضع و يوضع و يوضع و يوضع و يوضع + +252 +00:19:47,980 --> 00:19:50,700 +تي واش تكرر مولي دي اي على اي لان الا اي اذا الا + +253 +00:19:50,700 --> 00:19:55,240 +اي بيساوي على طول من هنا بقول اي بيساوي اي نوت + +254 +00:19:55,240 --> 00:20:01,380 +اتبع ناقص تي على تاو هاتلعب طيارة على طول بضربة + +255 +00:20:01,380 --> 00:20:05,080 +واحدة بدون اي اشكالية طبعا التاو هنا بيساوي L على + +256 +00:20:05,080 --> 00:20:10,190 +Rوهذه من صفر ل T وهذه من I not ل I و I not هي ل I + +257 +00:20:10,190 --> 00:20:14,270 +maximum مش خضية فهذه معادلة سهلة بس برضه و برضه + +258 +00:20:14,270 --> 00:20:18,850 +اشتقاقها انا مش معنى فيها طلعت I بتسوي I maximum E + +259 +00:20:18,850 --> 00:20:23,270 +تباول نقص T على T اول هذه exponential عادي كيف + +260 +00:20:23,270 --> 00:20:29,150 +نصمتها؟ هذه نصمتها هيك شبكهذه الرسمة I not او I + +261 +00:20:29,150 --> 00:20:34,030 +maximum تُصِن بهذا الشكل إذا الطيار كان له قيمة + +262 +00:20:34,030 --> 00:20:37,210 +بديه يروح لل zero الطيار كان له قيمة بديه يروح لل + +263 +00:20:37,210 --> 00:20:41,530 +zero بس مالروحش لل zero مرة واحدة بروح بيه بطق + +264 +00:20:41,530 --> 00:20:46,910 +تمام ال variation هاي اللي بدي نرسم الرسمات الآن + +265 +00:20:46,910 --> 00:20:52,730 +ال variation of I versus time are plotted in the + +266 +00:20:52,730 --> 00:20:56,210 +figure as shown بيقول لي و لما أسكر مفتاح حقيقة + +267 +00:20:56,210 --> 00:21:00,930 +الطيار بيصيرالطيار شويه شويه بزيد لما يصل لقيمته + +268 +00:21:00,930 --> 00:21:04,410 +العظمى وحنا حكينا لملافة إيش مهمته يعيق وصول + +269 +00:21:04,410 --> 00:21:08,910 +الطيار ل .. وصوله لقيمته النهائية لبعد الوقت هو + +270 +00:21:08,910 --> 00:21:12,150 +الطيار هيق قيمته النهائية ماجعش نطة .. نطة واحدة + +271 +00:21:12,150 --> 00:21:15,170 +أخدوا شوية وجت عبر المواصلة طبعا الشباب هذا وجت + +272 +00:21:15,170 --> 00:21:19,190 +milli second أو micro second مش إنه ساعات ولا حتى + +273 +00:21:19,190 --> 00:21:22,450 +seconds هدول غاربة بال micro seconds فبالتالي + +274 +00:21:22,450 --> 00:21:28,160 +بياخدوا شوية وجت وبرجع تمام ولمّا ..عطفى بنذرش مرة + +275 +00:21:28,160 --> 00:21:31,380 +واحدة بياخدوا شوية واجهة طبعا شوفها ايه يعني تعتبر + +276 +00:21:31,380 --> 00:21:34,900 +نعمة لو انت تيجي تمثلها كالتالت انت لما تيجي بدك + +277 +00:21:34,900 --> 00:21:37,640 +تتواجه زي تخبر صاحبك ولا اي واحد بتعرفه مصيبة + +278 +00:21:37,640 --> 00:21:42,560 +تخبره خبط .. خبط واحدة مش بيصير عنده صدمة وراه + +279 +00:21:42,560 --> 00:21:46,460 +ماسيصرا ممكن فتصير تبقى هدله وراه يمين وشمال وشوية + +280 +00:21:46,460 --> 00:21:50,100 +شوية بعد ما تديها ممكن تديه الخبر بمصف ثانية تديه + +281 +00:21:50,100 --> 00:21:53,080 +الخبر وراك تظهر و تطلع ممكن تحكي له قصة ساعة و + +282 +00:21:53,080 --> 00:21:57,060 +بعدين تديه الخبر الخبر ماتغير ايشمظبوط الخبر + +283 +00:21:57,060 --> 00:22:02,360 +مضايقش لإيه؟ لأنه دائما الصدمة تتغير قدرات كثيرة + +284 +00:22:02,360 --> 00:22:05,700 +في أي حاجة عطب مهل بين أدمين نفس الخبرية في + +285 +00:22:05,700 --> 00:22:10,240 +الأجهزة لإن القعنة بتروح وتجيب وكتفت كل الأجهزة + +286 +00:22:10,240 --> 00:22:14,300 +بتخاف تخرب لإن بيصير فيه تغييرات سريعة ومفاجئة + +287 +00:22:14,300 --> 00:22:20,400 +دائما فهذا الملف بيأمل على تلقى الصدمة شوي شوي + +288 +00:22:20,400 --> 00:22:24,380 +عشان مايصير فيه صدمة ويصير فيه choke ويصير فيه ضرر + +289 +00:22:24,680 --> 00:22:30,760 +فهذه رحمة من الرحمات الموجودة ومن القدرات تبعها + +290 +00:22:30,760 --> 00:22:35,700 +الخالق في الأمور كلها انه التغيير مستشفى باللي + +291 +00:22:35,700 --> 00:22:41,620 +يصير بلطف حتى في هذه الأمور موجودة طبعا رحمة تفقيد + +292 +00:22:43,020 --> 00:22:45,240 +الأجيزة ممكن تقولها صحيحة، لأن حتى الأجيزة ما + +293 +00:22:45,240 --> 00:22:48,080 +يبصروا عندها صدمة، بصروا عندها مستشفى، بيبصروها، + +294 +00:22:48,080 --> 00:22:53,080 +يعني سبحان الله ربنا يخلّى كل الأمور فيه مشتركين + +295 +00:22:53,080 --> 00:22:56,340 +بسمات معينة، كل الأمور، طبعا كلها مخلوقات، إذا + +296 +00:22:56,340 --> 00:22:59,520 +كانت بنا أدمين ولا حيوانات ولا جماد، حتى الجماد، + +297 +00:22:59,520 --> 00:23:02,200 +لأن في النهاية الجماد يا إخوان لو تيجي تفكر فيه، + +298 +00:23:02,200 --> 00:23:04,900 +نحن بيقول عنه جماد عشان البينموش وشغلات، لكن في + +299 +00:23:04,900 --> 00:23:07,620 +النهاية في حركةواحنا متفقين إن كل هالدنيا كلها + +300 +00:23:07,620 --> 00:23:11,820 +جاية من كعربية ومن نفسية عشان نتيجة حركة فالحركة + +301 +00:23:11,820 --> 00:23:14,680 +موجودة حتى بالجماد اللي بنحكي عنه جماد احنا جواته + +302 +00:23:14,680 --> 00:23:19,640 +حركة كاملة لا ترع تمام؟ وبالتالي الحركة موجودة ففي + +303 +00:23:19,640 --> 00:23:24,920 +common sense و common properties في كل المخلوقات + +304 +00:23:24,920 --> 00:23:29,820 +من ضمن هذه الشغلات وكتير أمور واحد بيعكسها على + +305 +00:23:29,820 --> 00:23:32,620 +البلد الأدمين بيلاقيها موجودة في باق المخلوقات + +306 +00:23:32,620 --> 00:23:38,220 +فطبعا هذه الشغلات المعروفةبقول as it is clear from + +307 +00:23:38,220 --> 00:23:42,960 +figure a graph a the current takes some time to + +308 +00:23:42,960 --> 00:23:45,900 +reach its maximum value يبقى ياخد شوية وقت لما يصل + +309 +00:23:45,900 --> 00:23:49,860 +ال maximum value while the graph of figure b + +310 +00:23:49,860 --> 00:23:52,780 +التحتانى till the current takes some time to reach + +311 +00:23:52,780 --> 00:23:56,860 +its zero value لما أفتح ياخد شوية وقت لما يصل ال + +312 +00:23:56,860 --> 00:24:02,010 +zero valueIn another word ايش هو .. بنرجع نقول ايه + +313 +00:24:02,010 --> 00:24:05,170 +شغل ال inductor؟ بقول the inductor has the effect + +314 +00:24:05,170 --> 00:24:09,170 +to hinder the current يعيق التيار .. هندر معاه + +315 +00:24:09,170 --> 00:24:12,510 +تيعيق .. to hinder the current from reaching its + +316 +00:24:12,510 --> 00:24:16,130 +final value for some time لكن مش لوقت كبير، تبقى + +317 +00:24:16,130 --> 00:24:20,050 +sometimeفي الآخر الخبر خبر ما هو بدي يصل يبدي يصل + +318 +00:24:20,050 --> 00:24:24,570 +والتيار بدي يصل بدي يصل بس بياخده شوية وقت بعدين + +319 +00:24:24,570 --> 00:24:27,790 +بيصل لقيمته مافيش اي مشكلة واحنا متفقين شباب ان ال + +320 +00:24:27,790 --> 00:24:31,890 +inductor شغلته الطبيعية الحقيقية الصح في ال + +321 +00:24:31,890 --> 00:24:35,410 +alternating current circuits لأنه هناك الملف + +322 +00:24:35,410 --> 00:24:39,130 +بتحولش ل silic عمره ما بيخصيص short circuit لأنه + +323 +00:24:39,130 --> 00:24:41,730 +هناك مش شغل .. ليش فارش short circuit بقولوا انه + +324 +00:24:41,730 --> 00:24:45,750 +ثبات ل flux بطر للشغل في ال alternating current في + +325 +00:24:45,750 --> 00:24:50,610 +ثبات ل fluxمافيش ثابت الفقر بالتالي بيضلوا يتغير + +326 +00:24:50,610 --> 00:24:55,470 +احنا في الشطر اللي ورا هذا بيكون كله مخصص لدوائر + +327 +00:24:55,470 --> 00:24:59,470 +التيار المتردد طيب احنا لان قاعدين ناخد ال اندكتر + +328 +00:24:59,470 --> 00:25:05,570 +وقولنا انهالملف بيشتغل ك open circuit أنتي بتساوي + +329 +00:25:05,570 --> 00:25:09,310 +سفر و ك short circuit أنتي بتساوي ملا نهاية صحيح + +330 +00:25:09,310 --> 00:25:13,170 +ولا لأ هنرجع ناخد ال inductor في دوائر التيار + +331 +00:25:13,170 --> 00:25:18,290 +المتردد من يقدر يقولي أنا كيف بدي أعمل مقارنة بين + +332 +00:25:18,290 --> 00:25:21,590 +دوائر التيار المتردد و دوائر المستمر بمعنى أخر + +333 +00:25:21,590 --> 00:25:25,910 +واكتشف ان اقدر أخل التيار المتردد يصير مستمر ايش + +334 +00:25:25,910 --> 00:25:30,340 +ممكن أغير في التيار المتردد عشان أصير مستمريعني + +335 +00:25:30,340 --> 00:25:36,040 +تردده لـ frequency ايش خلّيها؟ سيفر ماهيش اي ادعية + +336 +00:25:36,040 --> 00:25:39,840 +هو شو الطياب متردد عشان رايح جال لو الطياب رحله + +337 +00:25:39,840 --> 00:25:44,150 +بيجي بصير متردد؟بصير DC طب ايش هو اللي بيقيصه و + +338 +00:25:44,150 --> 00:25:46,850 +يقراه عريانه؟ هي ال frequency مش ال frequency + +339 +00:25:46,850 --> 00:25:50,810 +تعريفه عدد دورات في الثانية الواحدة لو واحد بيعملش + +340 +00:25:50,810 --> 00:25:52,870 +دورات، يعني كام دورة بيعمل في الثانية معناته؟ + +341 +00:25:52,870 --> 00:25:56,090 +Zero، نفرضته بقى Zero، الآن بكرا لما بدنا نعمل + +342 +00:25:56,090 --> 00:25:59,610 +correspondence و نعمل مقارة، بنقول Omega، اللي هي + +343 +00:25:59,610 --> 00:26:02,330 +ال New، ال frequency، سويا ب Zero، شوف بتطلع معاك + +344 +00:26:02,330 --> 00:26:05,610 +نفس القيم، تبعت هذا الشرطة ولا لا؟إذا الطيارة + +345 +00:26:05,610 --> 00:26:09,790 +المتردد أنا كرياضيات كمعادلات بخلّيه مستمر إذا + +346 +00:26:09,790 --> 00:26:13,850 +Omega تبعته ساوة Zero إذا Omega تبعت الطيارة متردد + +347 +00:26:13,850 --> 00:26:18,710 +ساوة صفر وهو أصلا كيف عملية ال filtration تبعته + +348 +00:26:18,710 --> 00:26:21,830 +أنا كيف بحوّل الطيارة مستمر الطيارة المتردد لمستمر + +349 +00:26:21,830 --> 00:26:26,850 +هي حاجة زي ت بضلني أنا أعمل شغلات بحيث أنه القمة و + +350 +00:26:26,850 --> 00:26:29,430 +القمة يجربوا على بعض كتير وبالتالي ال frequency + +351 +00:26:29,430 --> 00:26:31,770 +بيقول إلى ال Zero و بصير مستمر + +352 +00:26:35,240 --> 00:26:38,720 +الـ value تبعته بيجرب اكتر من دايوت وحط دايوت ولا + +353 +00:26:38,720 --> 00:26:41,600 +اتنين ولا تلاتة طبعا اول دايوت بيبني عليك لتحت + +354 +00:26:41,600 --> 00:26:45,920 +لإنه الدايوت الوصلة التنائية أخدتها يا شباب احنا + +355 +00:26:45,920 --> 00:26:49,140 +بيحكي مصطلحات بيهمش بقى في من انا كام شبك ماخدين + +356 +00:26:49,140 --> 00:26:53,920 +هذه الشغلات فالدايوت الوصلة التنائية ميزته انه + +357 +00:26:53,920 --> 00:26:56,740 +بدخل باتجاه الماء والتيالة مترددة انا عندي + +358 +00:26:56,740 --> 00:26:59,520 +اتجاهينه positive و negative فبيجي الدايوت ال + +359 +00:26:59,520 --> 00:27:02,140 +positive بدخله و ال negative كله ممنوع فبتطلع عندي + +360 +00:27:02,140 --> 00:27:07,250 +هيك بدل ما هي الدائرةهك بروحي بيساوي بيقول هذه تخش + +361 +00:27:07,250 --> 00:27:10,730 +وهذه مانعو تخش بصي صفر بعدين بيقول هذه تخش وهذه + +362 +00:27:10,730 --> 00:27:16,170 +مانعو تخش طبعا هنا مشكلة كبيرة صار يضوي ويضوي هنا + +363 +00:27:16,170 --> 00:27:19,830 +في الأول كان يضوي ويضوي وفي الثانية هنا زربا وطفا + +364 +00:27:19,830 --> 00:27:22,590 +فبروحوا ويوحوا مديموا شغلات تانية بحيث انهم يعملوا + +365 +00:27:22,590 --> 00:27:25,610 +هت ويعملوا هت وبعدين يجربوها بحيث انها تكون هك + +366 +00:27:25,610 --> 00:27:31,710 +وهذا عمل احنا ارادوا تبعكم شباب او اي مسجل لما انت + +367 +00:27:31,710 --> 00:27:36,180 +تدخله علىالـ breeze تبعك بيكون إما فيه transformer + +368 +00:27:36,180 --> 00:27:39,240 +موجود فيه نفسه أو جواته هادو إيش مهمته؟ مهمته + +369 +00:27:39,240 --> 00:27:43,880 +شغلتين تحويل التيار المتردد إلى تيار مستمر و تقليل + +370 +00:27:43,880 --> 00:27:48,260 +الفولتية من ال .. ال 120 غالبا ال 12 volt غالبا + +371 +00:27:48,260 --> 00:27:51,840 +بيشتغل زي شحن الجوال بالظبط شحن الجوال هذه الكبيرة + +372 +00:27:51,840 --> 00:27:55,100 +هذه جوها transformer والفيش اللي احنا عارفينها + +373 +00:27:55,100 --> 00:27:58,220 +الفيش الصغيرة سلكين وفيها الأصبعين بيخشوا على + +374 +00:27:58,220 --> 00:28:01,820 +الكعبة و بيضنوا اللي تبقى الجوال بيلاديه كذا كتبة + +375 +00:28:02,060 --> 00:28:05,080 +لأن معناته إيه جواته فيه؟ فيه transformer .. فيه + +376 +00:28:05,080 --> 00:28:09,320 +transformer بيحول من AC ل DC و بعدين تتطلع أنت ع + +377 +00:28:09,320 --> 00:28:12,360 +ال voltage تبعي جوالك بيكون مكتوب بيكون كذا volt + +378 +00:28:12,360 --> 00:28:16,380 +.. ده بقى كل واحد بقى .. انا بقول لكوا انا انفطت + +379 +00:28:16,380 --> 00:28:19,660 +اسمعوا انا جيت في حد معاه جوال فيه كوه .. و كل كوم + +380 +00:28:19,660 --> 00:28:22,560 +يعني بقى .. و ال transformer جاري ولا ما جاري مش + +381 +00:28:22,560 --> 00:28:27,210 +خضيع .. تمامجالي عشان احكاية الصدمة اللي حكينا + +382 +00:28:27,210 --> 00:28:32,010 +عنها بتعمل مقارنة شباب كيف ال pulse الكهربية كيف + +383 +00:28:32,010 --> 00:28:35,610 +بتكون بدون inductance وكيف بتكون بال inductance + +384 +00:28:35,610 --> 00:28:39,410 +يعني كيف بتكون عملية وصول التيار الكهربائي لأي + +385 +00:28:39,410 --> 00:28:45,580 +جهاز معراهيات الحد و بدون راهيات الحد بيقولي انا + +386 +00:28:45,580 --> 00:28:48,860 +هنا هنا طيار بدي اشوف اقيص الطيار مع الزمان انا + +387 +00:28:48,860 --> 00:28:53,820 +هنا بدي اسكر مفتاحي او بدي اشغل جهازي وهنا شباب + +388 +00:28:53,820 --> 00:28:59,180 +بدي اقص جهازي طبعا تشغيل الجهاز يعني السماح بمور + +389 +00:28:59,180 --> 00:29:03,420 +الطيار الكعبائي داخله صحيح ولا لأ؟ بموره اللي اصلا + +390 +00:29:03,420 --> 00:29:08,460 +اول ما تشغل .. تشغل الجهاز بصير انك طيار صح ولا + +391 +00:29:08,460 --> 00:29:14,160 +لأ؟ بتكون هيك الطيار هيكهذه صدمة تيجي مرة واحدة + +392 +00:29:14,160 --> 00:29:20,700 +على طول بال inductor ايش بيصير ال steel smooth هذي + +393 +00:29:20,700 --> 00:29:25,580 +بدون .. هذي بدون باهرة الحسن الذاتي بدون ملف تطفئ + +394 +00:29:25,580 --> 00:29:27,660 +.. تضوي .. تطفئ .. على طول بيصير بال steel الضوء + +395 +00:29:27,660 --> 00:29:33,260 +عندك تطفئ .. تطفئ .. كمان؟ بوجود الحسن ايش بيصير + +396 +00:29:33,260 --> 00:29:36,480 +معاك؟ بيقول حسب التجارب .. يقولك التجارب تمشيش هيك + +397 +00:29:36,480 --> 00:29:40,100 +.. تجارب اعمل ليه؟ تعمل ليه؟ و هنا التجارب يمشي + +398 +00:29:40,100 --> 00:29:46,240 +ليه؟ فبتكونمع اطلاع كيف صار الطيار اخلي شوية .. + +399 +00:29:46,240 --> 00:29:50,420 +مابتصفت واحدة شوية شوية بعدين وصل في النهاية وصل و + +400 +00:29:50,420 --> 00:29:56,750 +لا موصل ايش وصل و هنا بده اطفي اطفيمدكار سفر على + +401 +00:29:56,750 --> 00:30:00,270 +طول اخد وجهة لما سفر وطبعا انتوا بتلاحظوها كتير في + +402 +00:30:00,270 --> 00:30:04,070 +الأجهزة لإن أول ما تطفى فيه طبعا لحظات مرات + +403 +00:30:04,070 --> 00:30:08,090 +وحالتها انتبه بإنه لسه فيه شوية كهربا مظلومة لأ + +404 +00:30:08,090 --> 00:30:11,730 +وبالتالي ما هي عشان الزمن قصير جدا مش دايما بتكون + +405 +00:30:11,730 --> 00:30:18,070 +ملاحظة تمام؟ لإن فبالتالي هذا الأزراج الصدمة خفت + +406 +00:30:18,070 --> 00:30:22,610 +والأحمر الصدمة بتيجي فجة واحدة بيقول the red line + +407 +00:30:22,610 --> 00:30:25,150 +representing I + +408 +00:30:29,890 --> 00:30:34,790 +Blue line representing I vs T with self-impactance + +409 +00:30:34,790 --> 00:30:38,330 +وعالح الأمور ايش الفرق بينهم طبعا في دوائر الطيارة + +410 +00:30:38,330 --> 00:30:43,290 +المستمر بتديني فائدة انه بتحفظ الأجهزة من نتيجة + +411 +00:30:43,290 --> 00:30:46,990 +تاخد الصدمة بتحفظها وبالتالي دائما التغير ال + +412 +00:30:46,990 --> 00:30:52,530 +smooth له كتير إيجابيات وله كتير نواتج حميدة + +413 +00:30:52,530 --> 00:30:58,600 +بالعكس التغير الصادم ال abruptفي ال calculus ال + +414 +00:30:58,600 --> 00:31:01,620 +function اللي بيسموه abrupt change بيكون بشع دائما + +415 +00:31:01,620 --> 00:31:06,100 +اللي بتغيره السريع بيكون دائما function هيك بشع + +416 +00:31:06,100 --> 00:31:09,820 +حتى في منظره وفي التعامل معاه دائما ال abrupt + +417 +00:31:09,820 --> 00:31:13,840 +change إله مشاكله لكن ال smooth exchange دائما + +418 +00:31:13,840 --> 00:31:16,820 +بيكون التعامل معاه كتير و هنا كان في continuous و + +419 +00:31:16,820 --> 00:31:18,500 +discontinuous انتوا عارفين ال discontinuous + +420 +00:31:18,500 --> 00:31:22,060 +function إله مشاكله في أمور كتيرة انه integrable و + +421 +00:31:22,060 --> 00:31:26,750 +لا مش integrable طبعاهذه مصروحات رياضيات موجودة + +422 +00:31:26,750 --> 00:31:30,250 +ويلها إشكالياتها في التعامل بالصورة الإجمالية + +423 +00:31:30,250 --> 00:31:35,270 +نشألها المثال بقول consider the circuit shown find + +424 +00:31:35,270 --> 00:31:39,910 +the time constants of the circuit بالtime + +425 +00:31:39,910 --> 00:31:42,490 +constants هذه ال time constants هي بنجلة قانون هذه + +426 +00:31:42,490 --> 00:31:45,570 +أكيد بالساوية بس هي في خطأ اتنين millisecond الحال + +427 +00:31:45,570 --> 00:31:49,450 +صح الحال صحFind the time constants of the circuit + +428 +00:32:01,550 --> 00:32:05,970 +مابدهش يعني مش مستحيل تمام and compare the + +429 +00:32:05,970 --> 00:32:09,250 +potential difference across the resistor with that + +430 +00:32:09,250 --> 00:32:12,430 +across the inductor هاي الرسمة شباب بيقولي ها دي + +431 +00:32:12,430 --> 00:32:16,070 +الرسمة RL circuit ولا مش RL circuit؟ RL circuit + +432 +00:32:16,070 --> 00:32:19,250 +بيقولي بيبقى تسكر مفتاحك سكرنا المفتاح و بعدين + +433 +00:32:19,250 --> 00:32:23,450 +نشتغل بيقولي او دي دي ال a ال time constant بيقول + +434 +00:32:23,450 --> 00:32:27,220 +L على R كدش L؟تلاتين ميلي هنري تلاتين في عشر او + +435 +00:32:27,220 --> 00:32:32,120 +تسالي بتلاتة جدش اه ست هاي اول مطلوب the time + +436 +00:32:32,120 --> 00:32:36,300 +constant is given by اخسار على الكالكوليتر مافيشش + +437 +00:32:36,300 --> 00:32:40,720 +تلاتين على .. مش هاش كالكوليتر بس بيجيب على كل صحي + +438 +00:32:40,720 --> 00:32:45,620 +و يحول تلاتين على ستة خمسة ميلي second طبعا زمان + +439 +00:32:45,620 --> 00:32:48,980 +مش هاتين ميلي second فالزمان دي هو خاصي ملي و مراح + +440 +00:32:48,980 --> 00:32:53,220 +micro حتى بحسب الدوائر اللي عندى التالت اخر five + +441 +00:32:53,220 --> 00:32:58,360 +millisecond مش خبيرةأيش بده؟ بيقولي او دي تيار لما + +442 +00:32:58,360 --> 00:33:01,940 +T بيساوي 2 ميلي ثانية طيب بيقولي انا هجيبني + +443 +00:33:01,940 --> 00:33:04,980 +القاعدة او القانون اللي تاوي استقباله مش هذا اللي + +444 +00:33:04,980 --> 00:33:08,760 +هو I بيساوي I ماكسيما واحد ماكسي تقريبا واحد ماكس + +445 +00:33:08,760 --> 00:33:11,920 +T على النار ايش بده؟ بيقولي ال T بيساوي 2 ميلي + +446 +00:33:11,920 --> 00:33:15,020 +ثانية انت تحط بحالك T ثلاثة او عشان تساوي ثلاثة + +447 +00:33:15,020 --> 00:33:15,820 +بتروح مع بعض + +448 +00:33:24,330 --> 00:33:28,390 +مقم التاني برضه تقدر مباشر انه تجيب المعادلة و + +449 +00:33:28,390 --> 00:33:32,670 +تعويب فبالتالي ال current is given by I maximum + +450 +00:33:32,670 --> 00:33:37,690 +one minus E to power minus T على تاو تي equal two + +451 +00:33:37,690 --> 00:33:40,950 +milliseconds تاو طلعناها خمسة ملي ساكند فطلعت معاه + +452 +00:33:40,950 --> 00:33:45,440 +تيار اوبون سيكسيس امبيرمافيش اي مشكلة، يعني انت + +453 +00:33:45,440 --> 00:33:49,120 +بدك أرقام عشان تعوض، ماتكاش رموز، الرموز نسهلك يا + +454 +00:33:49,120 --> 00:33:52,920 +ابني، طبعا، وإذا طيعت ال calculator وكنت مش جايبها + +455 +00:33:52,920 --> 00:33:55,280 +معاك في الامتحان، تقعد رابع ساعة ماتدورتش، حاطيه + +456 +00:33:55,280 --> 00:33:58,160 +ال calculator، لأ هيك بالناس إيه ال calculator ولا + +457 +00:33:58,160 --> 00:34:01,960 +ضياحة ولا حاجة، طبعا، تشوف المفروض التاني الشباب، + +458 +00:34:01,960 --> 00:34:05,980 +المفروض التاني بيقولكقارنني بين الـ Potential + +459 +00:34:05,980 --> 00:34:08,840 +Difference Across R والـ Potential Difference + +460 +00:34:08,840 --> 00:34:13,940 +Across L المنطق شباب بحسب كيرتشوف ان لو جمعت هادي + +461 +00:34:13,940 --> 00:34:18,600 +و جمعت هادي بيطلع هادي مش هيك بيقول قلني طب يا رفي + +462 +00:34:18,600 --> 00:34:23,900 +اجمع هادي و اجمع هادي هادي معروفة I في الـR هادي + +463 +00:34:23,900 --> 00:34:29,740 +الـDI على DT هي مشكلتها هادي مشكلتك اصبعلك بكتفاضي + +464 +00:34:29,740 --> 00:34:36,320 +عشان تطلع لإنه DI على DT طب وين هي I؟متهيأر مش هاد + +465 +00:34:36,320 --> 00:34:40,480 +AI فاملها جيب هادي و جيب هادي و جمّحهم إذا فلقت + +466 +00:34:40,480 --> 00:34:46,880 +معاك إبسلون معناته كلامك صح المنطق منطق بيقولي + +467 +00:34:46,880 --> 00:34:50,460 +the potential difference across the resistor بيقول + +468 +00:34:50,460 --> 00:34:55,140 +V سو I في ال R، في إشكالية؟ I، I وضت محله، I وضت + +469 +00:34:55,140 --> 00:34:59,600 +محله، إدارة عن I maximum I not انا مانعت بحط I not + +470 +00:34:59,600 --> 00:35:02,500 +و I maximum لإن هو I maximum هي I not، I خمتها + +471 +00:35:02,500 --> 00:35:07,120 +عالتي بالسوء Zeroصفّع شجّع هذه أمنّا فيها خلّصنا + +472 +00:35:07,120 --> 00:35:10,600 +منها بيقول لي the potential difference across the + +473 +00:35:10,600 --> 00:35:14,080 +n vector is given by ناقص LDI على DT طبعا انا و + +474 +00:35:14,080 --> 00:35:19,240 +اياكم اشتقتها شباب لما نقول هذه اشتقها بيصير سالب + +475 +00:35:19,240 --> 00:35:24,540 +مع سالب راحة فبيصير I not على Tau E تبوّر ناقص T + +476 +00:35:24,540 --> 00:35:30,360 +على Tau مظبوطة او لا؟ هي اشتقاقها لما جيت قولتش هي + +477 +00:35:30,360 --> 00:35:37,170 +Tau هي مش L على RL على R المعرّعة طلّيت هادي قال + +478 +00:35:37,170 --> 00:35:43,710 +هاي VL و هاي VR جمّحهم اتطلّعوا هادي مع هادي و + +479 +00:35:43,710 --> 00:35:48,190 +هادي اخوان ولا مش اخوان جمّحهم على سنة بواحدة موجب + +480 +00:35:48,190 --> 00:35:52,210 +اش بيضل بيضل I NOT في ال R في ال one I NOT في ال R + +481 +00:35:52,210 --> 00:35:57,350 +هي إبسلون هي إبسلون إذا صحيح الكلام بقولّي الآن VR + +482 +00:35:57,350 --> 00:36:01,190 +زي VL طلّيت I NOT في ال R وهي إبسلون بتعرض ال 12 V + +483 +00:36:02,010 --> 00:36:07,010 +إذن كيرشوف و كأني أنا جاية بتحقق من قانون كيرشوف + +484 +00:36:07,010 --> 00:36:12,370 +كمان مرة انه الفرق الجوهر تبع البطارية راح جزء منه + +485 +00:36:12,370 --> 00:36:18,370 +على المقارنة وجزء منه راح على الال تمام بدي أحل + +486 +00:36:18,370 --> 00:36:25,090 +problem الآن سؤال problem 23 بدي أحمل example عشان + +487 +00:36:26,540 --> 00:36:29,320 +أغلب الأسئلة مرة واحدة نحاول نعمل ا test عشان + +488 +00:36:29,320 --> 00:36:32,780 +نغلبكوش في الحسابات نقول ال T بالساوية 0 و ال T + +489 +00:36:32,780 --> 00:36:35,200 +بالساوية من النهاية اتعامل معاهك طبعا ال T + +490 +00:36:35,200 --> 00:36:38,380 +بالساوية 0 open circuit ال T بالساوية من النهاية + +491 +00:36:38,380 --> 00:36:42,140 +short circuit اتعامل معاه هذا الأساس فيبقى السؤال + +492 +00:36:42,140 --> 00:36:46,740 +problem 23 في أكتر من سؤال في النهاية بيحكي على + +493 +00:36:46,740 --> 00:36:49,420 +هذه القاعدة بيقولي the switch in the figure هي + +494 +00:36:49,420 --> 00:36:53,910 +دائرةبيقولي هذا الـ switch in the figure is open + +495 +00:36:53,910 --> 00:36:57,610 +at T بالثلاث أسفر، هذا كان مفتوح، كان مفتوح، ما + +496 +00:36:57,610 --> 00:37:02,570 +زال مفتوح، البطارية مشبوكة، ماجدش تيارات، Zero، + +497 +00:37:02,570 --> 00:37:07,390 +مافيش ولا تيارات، بيقولي and then it closed at T + +498 +00:37:07,390 --> 00:37:10,370 +equal to zero، سكرته و بعدين أشغل ساعتي، بيقولي + +499 +00:37:10,370 --> 00:37:14,030 +find the currents in the circuit that I'm in at T + +500 +00:37:14,030 --> 00:37:17,430 +بالثلاث أسفر and a long time after closing the + +501 +00:37:17,430 --> 00:37:21,360 +switch، and T بالثلاث و ملا مهيةأيش بيسوي؟ بيقول + +502 +00:37:21,360 --> 00:37:25,300 +الـ T بيساوي 0 كذا عامل الملاف Open Circle، يجدش + +503 +00:37:25,300 --> 00:37:33,060 +I2؟ I2 0 و I1 و I3 بيسووا بعد، بيسووا 10 على 8 + +504 +00:37:33,060 --> 00:37:40,420 +صحيح ولا لأ؟ تمامأذا معناته هاي سكّرت مفتاحي زي ما + +505 +00:37:40,420 --> 00:37:45,200 +حكت الدائرة وبقول الآن ال T بتساوي صفر المعلومة + +506 +00:37:45,200 --> 00:37:50,080 +اللي عندي the inductor treated as an open circuit + +507 +00:37:50,080 --> 00:37:53,320 +ما زال open circuit على طول ببقول آية اتنين جده + +508 +00:37:53,320 --> 00:37:57,500 +ايش؟ Zero لأن هادي و كده انها صارت شباك كمان في + +509 +00:37:57,500 --> 00:38:00,240 +الكاباستر كانت أحلى ان الشباك ماوجوده خالص بس هنا + +510 +00:38:00,240 --> 00:38:01,480 +بدي اعتبره انه شباك + +511 +00:38:25,590 --> 00:38:26,990 +I1I2I3I4I5I6I7I8I9I10I11I12I13I14I15I16I17I18I20I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21 + +512 +00:38:27,570 --> 00:38:32,230 +بصير التنتين على التوازي تمام وهي لها قيمة بصير + +513 +00:38:32,230 --> 00:38:36,230 +هدول التنتين توازي و لا مش توازي هدول توازي قيمتهم + +514 +00:38:36,230 --> 00:38:39,750 +جديش اربعة في تمانية تانية و تلاتين على اتلاش بقدر + +515 +00:38:39,750 --> 00:38:43,610 +اجيب R equivalent للتانين بجمعهم على اربعة بجيب R + +516 +00:38:43,610 --> 00:38:46,850 +equivalent على عشرة بقدر اجيب I equivalent اللي هي + +517 +00:38:46,850 --> 00:38:51,250 +I واحد خليني اشوف ايش كاتب بقولي R equivalent عشرة + +518 +00:38:51,250 --> 00:38:56,040 +سنة توازي بتساوي اربعةزائد التنتين على التوازي + +519 +00:38:56,040 --> 00:38:59,440 +بتوصله مع الأربع على التوالي ولا لأ؟ فهذه التوازي + +520 +00:38:59,440 --> 00:39:05,460 +32×12 هي 6.7 Ohm هذي R equivalent تحت الدائرة بقدر + +521 +00:39:05,460 --> 00:39:09,340 +اجيب I equivalent لان ولا لأ؟ بتساوي عشرة على هذا + +522 +00:39:09,340 --> 00:39:12,660 +المبلغ طب I واحد هي نفسها I equivalent ولا لأ؟ + +523 +00:39:14,030 --> 00:39:17,850 +فبقوللي اشتري عليها بقوللي اي واحد هي نفسها + +524 +00:39:17,850 --> 00:39:21,210 +equivalent بالسنة عشرة على ستة بون سبعة تلقى واحد + +525 +00:39:21,210 --> 00:39:25,410 +و نص أمبير طب واحد و نص أمبير هدى واحد و نص أمبير + +526 +00:39:25,410 --> 00:39:28,930 +هدول كيه بتجيبوا مش هدول يجسموا هدى بدياخد حصة و + +527 +00:39:28,930 --> 00:39:34,450 +هدى بدياخد حصة تقدر تقوله حصة هدى ضعيف حصة هدى ليه + +528 +00:39:34,450 --> 00:39:37,810 +فهدى اربعة واحد تمانية هدى ضعف لإن بيجسم على تلاتة + +529 +00:39:39,090 --> 00:39:42,990 +لأ مش نفس الشيء، بقى أنا بقول هذه فاف هذه، إذا + +530 +00:39:42,990 --> 00:39:46,030 +واحد بتاخد واحد، واحد بتاخد نص، فإنه بتجسم الواحد + +531 +00:39:46,030 --> 00:39:48,970 +نص ع طلعته، يعني زي ما بيعملوا في الميرات، لما + +532 +00:39:48,970 --> 00:39:50,870 +يكونوا قاعد بيقولوا جسدنا انا انا انا انا انا انا + +533 +00:39:50,870 --> 00:39:51,330 +انا انا انا انا انا انا انا انا انا انا انا انا + +534 +00:39:51,330 --> 00:39:51,770 +انا انا انا انا انا انا انا انا انا انا انا انا + +535 +00:39:51,770 --> 00:39:52,010 +انا انا انا انا انا انا انا انا انا انا انا انا + +536 +00:39:52,010 --> 00:39:53,990 +انا انا انا انا انا انا انا انا انا انا انا انا + +537 +00:39:53,990 --> 00:39:54,230 +انا انا انا انا انا انا انا انا انا انا انا انا + +538 +00:39:54,230 --> 00:40:01,710 +انا انا اان هو المصدر واحد هي زي جهود واحد، المصدر + +539 +00:40:01,710 --> 00:40:05,090 +واحد عندهم عشر حصص بجاسمه على عشر حصص و واحد اللي + +540 +00:40:05,090 --> 00:40:10,670 +بياخد حصته و مبغوظ الكل من البلاد و البيت بتاخد + +541 +00:40:10,670 --> 00:40:11,510 +حصة + +542 +00:40:37,670 --> 00:40:46,390 +خلّينا نرجع لأصل شغل الملفالملف شباب هو جهاز + +543 +00:40:46,390 --> 00:40:53,010 +لتخزين الطاقة المغناطية في انها جهاز بيخزن الطاقة + +544 +00:40:53,010 --> 00:40:58,690 +الكفاسيتر هو جهاز لتخزين الطاقة الكهربائية U تبعت + +545 +00:40:58,690 --> 00:41:05,920 +الكفاسيتر بساوي نص Q تربيع على Cأياما حسبت كداش U + +546 +00:41:05,920 --> 00:41:09,120 +للكباسيتر كيف حزبتها؟ قولت الكباسيتر هو كيبتها + +547 +00:41:09,120 --> 00:41:13,860 +بيشحن بيمكن شحنات من طرف لطرف ونقل الشحنات من طرف + +548 +00:41:13,860 --> 00:41:18,100 +لطرف بيرد الشغل حسبت الشغل قولت هي الطاقة الآن + +549 +00:41:18,100 --> 00:41:23,400 +بنفس الكيفية بدي أحاول أنا وياكم نشتق قانون يقول + +550 +00:41:23,400 --> 00:41:26,420 +الطاقة المغناطسية اللي بتحكي عنها هي جديش قيمتها + +551 +00:41:26,420 --> 00:41:31,120 +وإيش علاقتها بالتيار بيقوللي ارجع انت لدائرتك اللي + +552 +00:41:31,120 --> 00:41:32,780 +هي هذه الدائرة + +553 +00:41:39,720 --> 00:41:45,280 +هذه y وهذه r وهذه a اشخر على كده شوف كلها اشتغلت + +554 +00:41:45,280 --> 00:41:48,440 +على كده شوف طلعت عندي هذه المعادلة صح ولا لأ؟الأصل + +555 +00:41:48,440 --> 00:41:52,860 +بعد مدة معينة أنا بقول الملف بطل يشتغل لكن هذا لا + +556 +00:41:52,860 --> 00:41:56,480 +يعني أنه ماخزنش طاقة، خزن طاقة عشان كده لما أفتح + +557 +00:41:56,480 --> 00:42:00,860 +المفتاح بيشتغل من أول و جديد لإن كان الطاقة يتخزن + +558 +00:42:00,860 --> 00:42:04,720 +تشتغل فهو في طاقة خزنت برغم إنه بطل يشتغل لكن دوا + +559 +00:42:04,720 --> 00:42:07,360 +طاقة خزنت بالدعسبة قال لي طيب انت اشتغلت على + +560 +00:42:07,360 --> 00:42:11,680 +كيرشوف واحدة هي بصحي لي أضرب المعادلة بأي إشي؟ أي + +561 +00:42:11,680 --> 00:42:14,560 +معادلة بصحي لي أضربها بأي حاجة؟ قال لي اضربها بI + +562 +00:42:16,240 --> 00:42:18,440 +multiplying the above equation by I واش اللي + +563 +00:42:18,440 --> 00:42:21,680 +استفدته؟ اللي استفدته شغلات كتيرة، الشيء هدى، I في + +564 +00:42:21,680 --> 00:42:24,840 +V power و هدى، طب هدى ممنوع .. م .. م .. م .. م .. + +565 +00:42:24,840 --> 00:42:25,000 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +566 +00:42:25,000 --> 00:42:25,180 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +567 +00:42:25,180 --> 00:42:25,620 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +568 +00:42:25,620 --> 00:42:26,860 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +569 +00:42:26,860 --> 00:42:27,760 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +570 +00:42:27,760 --> 00:42:28,000 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +571 +00:42:28,000 --> 00:42:28,640 +م .. م .. م .. م .. م .. م .. م .. م .. م .. م .. + +572 +00:42:28,640 --> 00:42:34,920 +م .. م .. م .. م .. م .. م .. م .. م .. م .. + +573 +00:42:34,920 --> 00:42:42,320 +م + +574 +00:42:46,650 --> 00:43:00,170 +ماذا تفعل؟ تبعث الملف تبعث الملف تبعث + +575 +00:43:00,170 --> 00:43:04,170 +الملف تبعث الملف تبعث الملف تبعث الملف تبعث الملف + +576 +00:43:04,170 --> 00:43:06,060 +تبعث الملف تبعث الملف تبعث الملف تبعث الملفالأول + +577 +00:43:06,060 --> 00:43:13,280 +ترم يمثل قوة البطارية، والثاني ترم يمثل قوة + +578 +00:43:13,280 --> 00:43:22,640 +الانتجار، والثالث ترم يمثل القوةdelivered to the + +579 +00:43:22,640 --> 00:43:27,700 +inductor بسوء + +580 +00:43:27,700 --> 00:43:32,220 +LIDI على DT و هذه علاقتها مع ال energy DU على DT + +581 +00:43:32,220 --> 00:43:33,240 +بسوء LIDI على DT و هذه علاقتها مع ال energy DU على + +582 +00:43:33,240 --> 00:43:35,180 +DT بسوء LIDI على DT و هذه علاقتها مع ال energy DU + +583 +00:43:35,180 --> 00:43:41,600 +على DT بسوء LIDI على DT و هذه علاقتها مع ال energy + +584 +00:43:41,600 --> 00:43:41,740 +DU على DT بسوء LIDI على DT و هذه علاقتها مع ال + +585 +00:43:41,740 --> 00:43:42,400 +energy DU على DT بسوء LIDI على DT و هذه علاقتها مع + +586 +00:43:42,400 --> 00:43:43,740 +ال energy DU على DT بسوء LIDI على DT و هذه علاقتها + +587 +00:43:43,740 --> 00:43:47,340 +مع ال energy DU على DT بسوء LIDI على DT و هذه + +588 +00:43:47,340 --> 00:43:48,790 +علاقتها مع ال energy DU على DT بسوءبقول دي يو + +589 +00:43:48,790 --> 00:43:54,930 +بيستوي L Zero ل I I D I I D I ايه تكرمه ال I D I I + +590 +00:43:54,930 --> 00:44:01,350 +تربيعتني طلع القانون هيو تفرج كتير عن هذه تشوف I + +591 +00:44:01,350 --> 00:44:04,290 +تربيعه هناك في هذي I تربيع مش عارف بينك انها اللي + +592 +00:44:04,290 --> 00:44:09,740 +تربيعبعدين ال Q تربية ايش حطيت؟ I تربية وبعدين ال + +593 +00:44:09,740 --> 00:44:15,040 +C L بس كان في ال bus و أنا في المقام هذه قيمة + +594 +00:44:15,040 --> 00:44:21,760 +الطاقة المغناطيسية شباب اللي تتولد جوا ال coal وهي + +595 +00:44:21,760 --> 00:44:26,080 +اللي بستفيد منها لما افتح المفتاح تبعي انه بترجح + +596 +00:44:26,080 --> 00:44:28,520 +هذه الطاقة بعيد استخدامها زي لما اقول والله هي + +597 +00:44:28,520 --> 00:44:31,540 +طاقة مخزنة طب ايش اللي بيجي نزله هذا؟ بقول الطاقة + +598 +00:44:31,540 --> 00:44:35,340 +المخزنة هي اللي بتنزله بتتحول لطاقة حركة وبنزل، + +599 +00:44:35,340 --> 00:44:41,350 +انزلإذا هذه هي الطاقة المغناطسية اللي تخزن داخل أي + +600 +00:44:41,350 --> 00:44:46,170 +coil و بنرجح و بنقول ال coil is a device that is + +601 +00:44:46,170 --> 00:44:51,670 +storing magnetic energy طبعا بيكون خزن بال field + +602 +00:44:51,670 --> 00:44:55,930 +هذا المصرحات نشوف المثال بقول consider once again + +603 +00:44:55,930 --> 00:44:58,130 +there are circuits shown in the figure بقول هذه + +604 +00:44:58,130 --> 00:45:02,060 +الدائرة اللي كانت عندكماذا يقول؟ With the switch + +605 +00:45:02,060 --> 00:45:05,540 +is thrown to point two after being on position one + +606 +00:45:05,540 --> 00:45:08,460 +for a long time. يقول هذا المفتاح كان فيه أول عند + +607 +00:45:08,460 --> 00:45:11,740 +واحد. لما كان عند واحد معناته كان شبك بالبطارية + +608 +00:45:11,740 --> 00:45:16,490 +ولا لأ؟ كان شبك بالبطارية وستنت عليه.سنت عليه لما + +609 +00:45:16,490 --> 00:45:20,910 +بطل الملف يشتغل لكن لما بطل الملف يشتغل خزن طاقة + +610 +00:45:20,910 --> 00:45:25,230 +ولا ماخزنش طاقة؟ خزن طاقة وقيمتها توي انا وياكم + +611 +00:45:25,230 --> 00:45:31,010 +اشتقيتها بتساوي نص ال I تربية اذا you شباب اللي + +612 +00:45:31,010 --> 00:45:38,130 +اتخزنت الان نص ال I تربية حلو بقولي بعد ما خزن + +613 +00:45:38,130 --> 00:45:41,550 +المفتاح بدي اجيبه من واحد و احطه على اتنين بقولي + +614 +00:45:41,550 --> 00:45:45,900 +وين الطاقة اللي بدأت روحكم؟بدي امسك المقاومة + +615 +00:45:45,900 --> 00:45:49,820 +وامسكها تسخن صح؟ ميلاده بدي يكون مرتيار ولا لا؟ طب + +616 +00:45:49,820 --> 00:45:53,980 +هذه الطاقة الممتق يقول ان الطاقة اللي فقدت هنا + +617 +00:45:53,980 --> 00:45:57,420 +بتثير الطاقة اللي كانت مخزنة هنا صح ولا لا؟ طبعا + +618 +00:45:57,420 --> 00:46:00,320 +عن اعتبارها نظريا احنا هنا مانعتبراش ليش طاقات اه + +619 +00:46:00,320 --> 00:46:03,480 +لكن هي نظرية موجودة هنا لما تنسك هذا برضه بتلاقي + +620 +00:46:03,480 --> 00:46:06,760 +سخن في طاقة لكن احنا بنعتبر ان هذا مافيش طاقة + +621 +00:46:06,760 --> 00:46:10,200 +بيقول اثبت ان الطاقة اللي فقدت هنا هي هي نفسها + +622 +00:46:10,200 --> 00:46:15,100 +كلها اللي كانت مخزنة هنا ايش بيقول هنا السؤال؟بقول + +623 +00:46:15,100 --> 00:46:18,360 +طبعا with a switch in the throne to point two + +624 +00:46:18,360 --> 00:46:21,640 +after being on position one for a long time عشان + +625 +00:46:21,640 --> 00:46:24,880 +يقول لي في طاقة مخزنة و خلصت منها تمام show that + +626 +00:46:24,880 --> 00:46:29,300 +all the energy initially stored in the inductor + +627 +00:46:29,300 --> 00:46:33,380 +اللي كانت مخزنة في ال inductor appears as internal + +628 +00:46:33,380 --> 00:46:36,640 +energy in the resistor as the current decays to + +629 +00:46:36,640 --> 00:46:40,600 +zero طيب أنا بعرف تبعت المقاومة بقول ال power + +630 +00:46:40,600 --> 00:46:47,340 +بالساوي I تربيع في ال Rصح ولا لأ؟ هذه ال power هي + +631 +00:46:47,340 --> 00:46:54,540 +عبارة عن du على dt بظبط ولا لأ؟ هذه ال u إذا طلعت + +632 +00:46:54,540 --> 00:46:59,080 +هذه كلامك صح هذه المهمة دي جيبها لما أنا قاعد + +633 +00:46:59,080 --> 00:47:03,840 +بأشبك هذا التيار شباب I بتساوي I not ايه تبقى و + +634 +00:47:03,840 --> 00:47:08,230 +نقص T على Tهي طيب لما اكون ا فُك مش واحد ناقص لان + +635 +00:47:08,230 --> 00:47:13,350 +انا بفُك طيب ربّحها بيصير ال power بيساوي I naught + +636 +00:47:13,350 --> 00:47:18,050 +تربية بيبقى power ناقص اتنين T على Tau وهي احطها + +637 +00:47:18,050 --> 00:47:25,030 +هنا بالمرة بيساوي Du على Dt هذا هي عشان اطلع U ايش + +638 +00:47:25,030 --> 00:47:34,940 +ممكن تسوي؟ ممكن تكمل؟ Du بتساويI0 تربيع في الـR E² + +639 +00:47:34,940 --> 00:47:42,260 +-2T على TAU DT كامل + +640 +00:47:42,260 --> 00:47:45,620 +عشان نطلع الـU لازم تطلع حد يه رباكم إذا ما طلعتش + +641 +00:47:45,620 --> 00:47:52,440 +حد يه فيه مشكلة كامل هنا ذاكر كامل انت لنزيله لـD + +642 +00:47:52,440 --> 00:47:58,560 +وها دي ماهي DU واضحة تمام هذي U بتساوي I0 تربيع + +643 +00:47:58,560 --> 00:48:06,140 +على الـRنفس هو بتتجسم على الثابت صح ولا لأ فهذه + +644 +00:48:06,140 --> 00:48:13,980 +عبارة عن E تبارك ناقص 2T على T وT تتجسم على 2T + +645 +00:48:13,980 --> 00:48:20,420 +بالسالب طبعا السالب بضيع منه من Zero ل T فهنا في + +646 +00:48:20,420 --> 00:48:25,200 +سالب أخليها من T ل Zero عشان أضيع السالب مظبوطيكوا + +647 +00:48:25,200 --> 00:48:31,260 +ولا لأ تمام قال لي يللا أشتغل هذي Tو هدى حطينا ال + +648 +00:48:31,260 --> 00:48:37,560 +T كل شي تمام هدى صارت اي نوع التربية R على اتنين + +649 +00:48:37,560 --> 00:48:45,720 +ال tau ايش بتساوي ال R ايه تبار ناقص اتنين T على + +650 +00:48:45,720 --> 00:48:52,880 +tau مظبوط هيك ولا لأ تمام ال هى T + +651 +00:49:02,590 --> 00:49:09,230 +طيب هدى ال R مع ال R هدى روحت تمام هدى النص اجت + +652 +00:49:09,230 --> 00:49:18,750 +شباب هدى فى هدى هى I تربية صح اذا طلعت بالظبط هنا + +653 +00:49:18,750 --> 00:49:26,490 +نص ال I تربيةإذا صح الكلام طبعا نغريا عمليا بتلاقي + +654 +00:49:26,490 --> 00:49:29,430 +هنا في شرط طاعة بصحيح اننا اعتبرينها طبعا انا هنا + +655 +00:49:29,430 --> 00:49:33,610 +عاملها على طول انا مبين هنا عندي صفحه بيضه طلعت + +656 +00:49:33,610 --> 00:49:36,810 +على هنا لاجيتها زرقه اجري ملاها تمه + +657 +00:49:43,450 --> 00:49:46,650 +It is meant that the current decay as I بسهولة I + +658 +00:49:46,650 --> 00:49:49,890 +not اتبع وانناقص T على τاو بس حطت التاو على طول I + +659 +00:49:49,890 --> 00:49:53,730 +على R تمام فهذه تبارك طبعا قانون ان الطيار لما + +660 +00:49:53,730 --> 00:49:56,770 +يكون decreasing هي قانون ان increasing في واحد + +661 +00:49:56,770 --> 00:50:01,880 +ناقص بنميز بحسب السؤال اللي عندناالـ Power بيساوي + +662 +00:50:01,880 --> 00:50:04,560 +DU على DT بيساوي تربية على الأرض اللي بتاوي عملت + +663 +00:50:04,560 --> 00:50:09,260 +وبداخل بيقول إذا DU بيساوي التكامل و طلعها نص + +664 +00:50:09,260 --> 00:50:15,240 +العينات تربية وهذا إثبات على أنه الطاقة اللي خزنت + +665 +00:50:15,240 --> 00:50:17,480 +فيه ال inductor راحت كلها على + +666 +00:50:25,150 --> 00:50:31,470 +القوانين اللي ثابتة ولي ماحد بحكي عنها إشي لإنه كل + +667 +00:50:31,470 --> 00:50:35,450 +الدنيا شبه مركبة عليها إنه حاجة تاخد من حاجة كلها + +668 +00:50:35,450 --> 00:50:38,770 +سادات ودين زي ما بيحكوها فالأمور هيك تمام بيكفنا + +669 +00:50:38,770 --> 00:50:39,330 +اليوم + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw.srt new file mode 100644 index 0000000000000000000000000000000000000000..da7182e956446c0c72e895eb7ef4af5325788a73 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw.srt @@ -0,0 +1,3377 @@ +1 +00:00:09,820 --> 00:00:14,440 +بِسْمِ اللهِ الرَّحْمَنِ الرَّحِيمِ نستكمل المحاضرة + +2 +00:00:14,440 --> 00:00:20,980 +الماضية اللي حكينا عنها عن ال electric charge + +3 +00:00:20,980 --> 00:00:26,400 +بعدين وقفنا عن Coulomb's law بسرعة بدي أعيد كولوم + +4 +00:00:26,400 --> 00:00:31,940 +law عشان بعد هيك بدنا نبدأ نطبق عليه أمثلة احنا + +5 +00:00:31,940 --> 00:00:35,520 +اتفقنا في البداية أن في we have two kind of + +6 +00:00:35,520 --> 00:00:38,840 +charges positive charge and negative charge + +7 +00:00:50,710 --> 00:00:57,750 +الشحنات المختلفة تتجذب والشحنات المتشابهة تتنافر + +8 +00:01:05,690 --> 00:01:10,930 +هذا هو الثاني مفهوم. الثالث مفهوم هو أن المشكلة + +9 +00:01:10,930 --> 00:01:17,190 +مكممة. مكممة يعني أن أي شحنة موجودة في الطبيعة هي + +10 +00:01:17,190 --> 00:01:23,960 +مضاعفات شحنة الإلكترون. بعدين حكينا عن أن المواد قسمت + +11 +00:01:23,960 --> 00:01:28,100 +إلى conductors و insulators وفيه طبعًا ال + +12 +00:01:28,100 --> 00:01:32,800 +semiconductors ما لناش دعوة فيها. قوة الجذب وقوة + +13 +00:01:32,800 --> 00:01:38,060 +التنافر هي قوة، إذا لابد من وجود قانون يمكنني أن + +14 +00:01:38,060 --> 00:01:45,200 +أحسب هذه القوة. كل يوم هو لأوجِد هذا القانون كولومز + +15 +00:01:45,200 --> 00:01:50,860 +لو أعطاني عدة ملاحظات طبعًا هذه الملاحظات احنا + +16 +00:01:50,860 --> 00:01:54,520 +قدّمناها وحكيناها قبل كده بس عيدها بسرعة بيقول لي + +17 +00:01:54,520 --> 00:01:57,240 +the force is directly proportional to the + +18 +00:01:57,240 --> 00:02:00,160 +magnitude of the charges of each particle يعني + +19 +00:02:00,160 --> 00:02:04,480 +القوة تتناسب تناسبًا طرديًا مع مقدار الشحنتين اللي + +20 +00:02:04,480 --> 00:02:15,250 +بيهم القوة. الملاحظة التالية القوة تتناسب + +21 +00:02:15,250 --> 00:02:19,650 +تناسبًا عكسيًا مع مربع المسافة اللي بينهم. الشغل اللي + +22 +00:02:19,650 --> 00:02:22,930 +يتركه في اتجاه القوة هو الشغل اللي يتركه في اتجاه + +23 +00:02:22,930 --> 00:02:24,230 +القوة هو الشغل اللي يتركه في اتجاه القوة هو الشغل + +24 +00:02:24,230 --> 00:02:25,810 +اللي يتركه في اتجاه القوة هو الشغل اللي يتركه في + +25 +00:02:25,810 --> 00:02:26,470 +اتجاه القوة هو الشغل اللي يتركه في اتجاه القوة هو + +26 +00:02:26,470 --> 00:02:27,270 +الشغل اللي يتركه في اتجاه القوة هو الشغل اللي + +27 +00:02:27,270 --> 00:02:28,970 +يتركه في اتجاه القوة هو الشغل اللي يتركه في اتجاه + +28 +00:02:28,970 --> 00:02:33,750 +القوة هو الشغل اللي يتركه في اتجاه القوة هو الشغل + +29 +00:02:33,750 --> 00:02:39,050 +اللي يت- إذا كانت الملاحظات متشابهة ومتطابقة إذا كانت + +30 +00:02:39,050 --> 00:02:44,870 +الملاحظات متشابهة هذه الملاحظات حقق كلهم بقانون + +31 +00:02:44,870 --> 00:02:54,190 +معين اللي هو الوافة 2 1 the force on one due to two + +32 +00:02:54,190 --> 00:02:58,450 +هذه القوة اللي على واحد من اثنين يعني هذه القوة + +33 +00:02:58,450 --> 00:03:05,030 +اللي بتأثر على Q1 بتساوي K ثابت تناسب في Q1 في Q2 + +34 +00:03:05,030 --> 00:03:10,710 +تناسب طردي حاصل ضرب الشحنتين شباب ال Q1 و Q2 على + +35 +00:03:10,710 --> 00:03:17,370 +مربع المسافة اللي بينهم ال absolute value شباب + +36 +00:03:17,370 --> 00:03:22,740 +انحطت ليش؟ عشان أنا بقعد أجيب ال magnitude و ال + +37 +00:03:22,740 --> 00:03:26,260 +sign بتاعة ال charge بتحدد لي ال direction زي ما + +38 +00:03:26,260 --> 00:03:33,160 +قد شفنا تمام، و R اتفقنا عليه والـ K هي ثابت مقداره + +39 +00:03:33,160 --> 00:03:40,260 +يعطيه لكم وقعدنا هنكتبه equal 9 × 9 وحدة نيوتن متر + +40 +00:03:40,260 --> 00:03:45,960 +سكوير على كولوم سكوير وحدة نيوتن متر سكوير على كولوم + +41 +00:03:45,960 --> 00:03:49,240 +سكوير وحدة نيوتن متر سكوير على كولوم سكوير وحدة + +42 +00:03:49,240 --> 00:03:49,760 +نيوتن متر سكوير على كولوم سكوير وحدة نيوتن متر + +43 +00:03:49,760 --> 00:03:51,560 +سكوير على كولوم سكوير وحدة نيوتن متر سكوير على كولوم + +44 +00:03:51,560 --> 00:04:01,060 +سكوير وحدة نيوتن متر سكوير على كولوم + +45 +00:04:01,060 --> 00:04:07,450 +سكوير. هو زي ما حكيت أنا أن الـ K تُعطى بهذه الصيغة 9 + +46 +00:04:07,450 --> 00:04:11,310 +في 10 أو 9 النيوتن متر تربيع على كولوم تربيع وهذه + +47 +00:04:11,310 --> 00:04:15,450 +من الثوابت اللي هيعطيها لكم دائمًا في كل امتحاناتكم + +48 +00:04:15,450 --> 00:04:19,110 +برضه الـ K اتفقنا عليه أنه يكون بصيغة ثانية يكتب على + +49 +00:04:19,110 --> 00:04:22,750 +شكل أنه 1 على 4 باي Epsilon not هذه Epsilon not + +50 +00:04:22,750 --> 00:04:27,090 +ثابت ثاني معروف برضه علميًا وموجود في كل كتب + +51 +00:04:27,090 --> 00:04:31,150 +الفيزياء موجود كمقدار يسمى permittivity of free + +52 +00:04:31,150 --> 00:04:35,230 +space ثابت النفاذية الكهربية للفراغ وحكينا عنه + +53 +00:04:35,230 --> 00:04:41,570 +بهذه الكيفية تمام. اتفقنا + +54 +00:04:41,570 --> 00:04:44,570 +أن الكولوم كـ vector ممكن يكتب بهذه الصيغة ما زال + +55 +00:04:44,570 --> 00:04:47,370 +كتابة vector بتروح الـ absolute value يا شباب لما + +56 +00:04:47,370 --> 00:04:50,270 +بدي أجيب الـ magnitude لازم أحط الـ absolute values + +57 +00:04:50,270 --> 00:04:53,210 +بدي أكتبه كـ vector بتروح الـ absolute value هذه + +58 +00:04:53,210 --> 00:04:57,780 +الشيء الثاني اللي عرفناه أن الـ Electric force is + +59 +00:04:57,780 --> 00:05:03,940 +a force يعني زيها زي الشد زيها زي الـ friction زيها + +60 +00:05:03,940 --> 00:05:09,100 +زي الـ weight ينطبق عليها جميع قوانين نيوتن الثلاثة + +61 +00:05:09,100 --> 00:05:13,280 +وبما فيهم الثالث اللي بيقول لكل فعل رد فعل مساوي + +62 +00:05:13,280 --> 00:05:16,240 +له في المقدار ومضاد له في الاتجاه. بالتالي زي ما + +63 +00:05:16,240 --> 00:05:21,560 +Q1 بتتأثر في Q2 هي هتأثر على Q2 بنفس القوة وبالتالي + +64 +00:05:21,560 --> 00:05:27,740 +أنا بتوقع أن F12 و F21 بينهم مساوي بس بإشارة سالب + +65 +00:05:27,740 --> 00:05:33,800 +عشان المعاكسة تمام وإذا كان في عندك أكثر من قوة + +66 +00:05:33,800 --> 00:05:38,100 +اتفقنا بتكون الـ resultant force هي مجموع القوى + +67 +00:05:38,100 --> 00:05:42,940 +اللي على الشحنة وهذا جمع اتجاهي مش أكثر زي ما + +68 +00:05:42,940 --> 00:05:48,000 +اتفقنا F21 و F12 عكس بعض وهذا هو نيوتن الثالث + +69 +00:05:48,000 --> 00:05:53,690 +وآخر حاجة اتفقنا عليها أن قانون كولوم لا ينطبق إلا + +70 +00:05:53,690 --> 00:05:57,270 +على ال pointy charges أو الشحنات اللي حجمها بحجم + +71 +00:05:57,270 --> 00:06:00,770 +النقطة وانتم عارفين ليش، أن في عندي خلل في المسافات + +72 +00:06:00,770 --> 00:06:07,050 +بتكون بهذه الحالة تمام. هجب أن نبدأ جديا ونحل أسئلة + +73 +00:06:07,700 --> 00:06:11,940 +أول مثال عشان يديني الـ Sense أحس بالشيء القوة + +74 +00:06:11,940 --> 00:06:17,220 +الكهربية قال لي خذ مثال بسيط جدًا جسمين مشحونين + +75 +00:06:17,220 --> 00:06:20,760 +اللي هم الإلكترون والبروتون وقال لي روح على ذرة + +76 +00:06:20,760 --> 00:06:26,480 +الهيدروجين أبسط أنواع الذرات وأنتم عارفينها فحكى + +77 +00:06:26,480 --> 00:06:31,710 +لي أنه أنتم في عندكم قانون كولوم مشبعته بقانون الجاذبية + +78 +00:06:31,710 --> 00:06:36,250 +العامة صح ولا لأ؟ قانون الجاذبية العامة بيجيب لك القوة + +79 +00:06:36,250 --> 00:06:41,940 +التجاذب بقى بين أي كتلتين صح؟ والقانون بتاع كولوم + +80 +00:06:41,940 --> 00:06:44,860 +بيجيب لك القوة الكهربية بين جسمين لازم يكونوا + +81 +00:06:44,860 --> 00:06:48,060 +مشحونين. القوة الكهربية مش مضطرة يكونوا مشحونين قلت لك + +82 +00:06:48,060 --> 00:06:53,420 +تقولي قارن لي بين هالقوتين، قولي find the magnitude + +83 +00:06:53,420 --> 00:06:57,600 +of the electrical force and the gravitational + +84 +00:06:57,600 --> 00:07:01,560 +force between the electron and the proton in the + +85 +00:07:01,560 --> 00:07:04,680 +hydrogen atom الإلكترون والبروتون شباب ما هم كتل + +86 +00:07:05,200 --> 00:07:11,440 +هذا كتلة وهذا كتلة وكتلة وكتلة وكتلة + +87 +00:07:11,440 --> 00:07:16,600 +وكتلة وكتلة + +88 +00:07:16,600 --> 00:07:17,320 +وكتلة وكتلة وكتلة وكتلة وكتلة وكتلة وكتلة و + +89 +00:07:17,320 --> 00:07:17,360 +كتلة وكتلة وكتلة وكتلة وكتلة وكتلة وكتلة و + +90 +00:07:17,360 --> 00:07:18,260 +كتلة وكتلة وكتلة وكتلة وكتلة وكتلة وكتلة و + +91 +00:07:18,260 --> 00:07:19,560 +كتلة وكتلة وكتلة وكتلة وكتلة وكتلة وكتلة و + +92 +00:07:19,560 --> 00:07:20,580 +كتلة وكتلة وكتلة وكتلة وكتلة وكتلة وكتلة و + +93 +00:07:20,580 --> 00:07:23,060 +كتلة وكتلة وكتلة وكتلة وكتلة وكتلة وكتلة و + +94 +00:07:23,060 --> 00:07:26,020 +كتلة وكتلة وكتلة وكتلة وكتلة وكتلة و ك + +95 +00:07:26,050 --> 00:07:29,570 +والإلكترون يدور حولها وبالتالي نصف قطر ذرة + +96 +00:07:29,570 --> 00:07:34,070 +الهيدروجين هي المسافة ما بين الإلكترون والبروتون كـ + +97 +00:07:34,070 --> 00:07:37,230 +average مدة إليها. ده اللي هجيب القوة الكهربية + +98 +00:07:37,230 --> 00:07:41,910 +وهجيب برضه قوة الجذب وأقارن بينهم أشوف إيش هذي وإيش + +99 +00:07:41,910 --> 00:07:46,330 +هذي بمجرد بسيط. نبدأ بالقوة الجديدة وهي قوة كولوم أو + +100 +00:07:46,330 --> 00:07:52,160 +القوة الكهربية Fe Electric Force. قانون كولوم مش بيقول + +101 +00:07:52,160 --> 00:07:57,640 +بيقول K في Q1 في Q2 على مربع المسافة اللي بينهم صح + +102 +00:07:57,640 --> 00:08:04,520 +ولا لأ؟ هاي القانون حلو. K ثابت معطى الـ Q1 و Q2 + +103 +00:08:04,520 --> 00:08:08,160 +عندي معلومة بتقول شحنة الإلكترون وشحنة البروتون + +104 +00:08:08,160 --> 00:08:15,330 +بتساوي بتساوي 1.6 × -19 وبرضه هيعطيها لكم تمام. نقدر نقول + +105 +00:08:15,330 --> 00:08:18,310 +المسافة هي هيديني إياها، ببقى عليّ أعرف أنه عشان + +106 +00:08:18,310 --> 00:08:24,740 +أستخدم الـ SI system لازم أحول من أنجستروم ليش؟ لمتر + +107 +00:08:24,740 --> 00:08:29,140 +طبعًا الأنجستروم ten to power minus ten عشر عوض + +108 +00:08:29,140 --> 00:08:34,160 +سالب عشرة متر. فهي نضرب طب لما نحسب بقول نحسب تسعة + +109 +00:08:34,160 --> 00:08:39,120 +في عشرة أسّ تسعة هو مقدار K صح ولا لأ؟ الـ Q واحد و + +110 +00:08:39,120 --> 00:08:42,940 +Q اتنين أخوان بيساويوا one point six ten to power + +111 +00:08:42,940 --> 00:08:46,760 +minus nineteen كولوم. one point six ten to power + +112 +00:08:46,760 --> 00:08:51,000 +minus nineteen square لإن في عندي two Q's تمام؟ على + +113 +00:08:51,000 --> 00:08:58,100 +مربع المسافة 0.53 أنجستروم حولتها لمتر 10⁻10 متر + +114 +00:08:58,100 --> 00:09:02,920 +وعملت square و دخلتها الـ calculator حسبت طلعت 0.8.2 + +115 +00:09:02,920 --> 00:09:10,670 +10⁻8 نيوتن. كبيرة ولا صغيرة؟ صغيرة تقريبًا جزء من مائة + +116 +00:09:10,670 --> 00:09:13,850 +مليون شباب لإن المليون عشرة أسّ ستة بتعرفوا + +117 +00:09:13,850 --> 00:09:16,310 +هذه عشرة أسّ ثمانية يعني أنا مائة مليون جزء + +118 +00:09:16,310 --> 00:09:19,750 +من مائة مليون. شوفوا قد إيش صغيرة لكن لسه ما أقدر أقول + +119 +00:09:19,750 --> 00:09:24,070 +صغيرة ولا كبيرة بدي أشوف الثانية بدي أشوف الثانية + +120 +00:09:24,070 --> 00:09:30,730 +تمام. to find the gravitational force we have قانون + +121 +00:09:30,730 --> 00:09:39,550 +فيزيائي. لتذكروا مع بعضه. اف بتساوي capital G M1 M2 + +122 +00:09:39,550 --> 00:09:42,570 +over R122 + +123 +00:09:44,760 --> 00:09:49,780 +G ثابت محطوط في الكتب. The mass of the proton is + +124 +00:09:49,780 --> 00:09:53,260 +known وموجود في الكتب. The mass of the electron is + +125 +00:09:53,260 --> 00:09:56,440 +known constant وموجود في الكتب. مربعين مسافة هي + +126 +00:09:56,440 --> 00:10:01,380 +وعطينا إياها صح ولا لأ؟ مضروبة. برضه لما أتعودنا G + +127 +00:10:01,380 --> 00:10:06,420 +equal 6.67 10 to power minus 11 طبعًا في الـ two + +128 +00:10:06,420 --> 00:10:13,110 +masses اللي اللي بيحصل صحية يا راح ده 9.11 × 10⁻³¹ + +129 +00:10:13,110 --> 00:10:22,450 +كيلوجرام. 1.67 × 10⁻²⁷ + +130 +00:10:22,450 --> 00:10:23,050 +كيلوجرام. 1.67 × 10⁻²⁷ كيلوجرام 9.11 × 10⁻³¹ + +131 +00:10:23,050 --> 00:10:23,570 +كيلوجرام. 1.67 × 10⁻²⁷ كيلوجرام 9.11 × 10⁻³¹ + +132 +00:10:23,570 --> 00:10:26,850 +كيلوجرام. 1.67 × 10⁻²⁷ كيلوجرام 9.11 × 10⁻³¹ + +133 +00:10:26,850 --> 00:10:30,290 +كيلوجرام. 1.67 × 10⁻²⁷ كيلوجرام 9.11 × 10⁻³¹ + +134 +00:10:30,290 --> 00:10:36,740 +كيلوجرام. 3.6 × 10⁻⁴ + +135 +00:10:36,740 --> 00:10:47,620 +هو 3.6 × 10⁻⁴ وهي نفس المسافة. تصور في 10-47 هذه 10 + +136 +00:10:47,620 --> 00:10:50,800 +-8 ويقول لنا أنها صغيرة طب هذه .. هذه مقارنتها متساوية + +137 +00:10:50,800 --> 00:10:55,380 +0 approximate equal to zero مش موجودة يعني بوجود + +138 +00:10:55,380 --> 00:10:59,180 +قوة كهربية بقى قوة الجاذبية ننساها، بقول لك ولا إلا + +139 +00:10:59,180 --> 00:11:04,540 +تأثير عشان بس أنت تحس فيها شوف اللي تحتها أقل + +140 +00:11:04,540 --> 00:11:08,260 +ضعف أكبر من الفجانية. أقل ضعف ده اللي جسموا مع بعض + +141 +00:11:09,870 --> 00:11:14,930 +نسبة FE على FG تقريبًا + +142 +00:11:14,930 --> 00:11:21,930 +تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا + +143 +00:11:21,930 --> 00:11:22,130 +تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا + +144 +00:11:22,130 --> 00:11:22,270 +تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا + +145 +00:11:22,270 --> 00:11:25,610 +تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا + +146 +00:11:25,610 --> 00:11:29,720 +تُقارب المليارات وبالتالي هذا بس عشان العلماء + +147 +00:11:29,720 --> 00:11:32,800 +يحسسوا أنه أنا لما أتعامل مع القوة الكهربية ما حد + +148 +00:11:32,800 --> 00:11:37,780 +يقول لي وين نسيت قوة الجاذبية بينهم. قوة الجاذبية تُهمَل + +149 +00:11:37,780 --> 00:11:41,100 +مقارنة بالقوة الكهربية. شوفوا قد إيش صغيرة هذا مثال + +150 +00:11:41,100 --> 00:11:44,580 +هيك بس يعني مجرد نسخ مع بعضه طبعًا أنه عشان + +151 +00:11:44,580 --> 00:11:47,040 +المفاجئين كانوا بيديها حساب قانون كولوم وأنا بدي أن + +152 +00:11:47,040 --> 00:11:50,560 +أحِلّ مثال حقيقي example + +153 +00:11:51,380 --> 00:11:56,320 +بيقول لي three pointed charges طبعًا قلت لك pointed + +154 +00:11:56,320 --> 00:11:58,780 +charge عشان قانون كولوم لا ينطبق على الـ pointed + +155 +00:11:58,780 --> 00:12:01,620 +charges يا شباب صحيح ولا لأ؟ فقال لي هي هم pointed + +156 +00:12:01,620 --> 00:12:04,700 +charge عشان ما تعملش حجة قانون كولوم ينطبق على الـ three + +157 +00:12:04,700 --> 00:12:10,280 +pointed charges of مقاديرهم كلهم معطيين five micro + +158 +00:12:10,280 --> 00:12:14,980 +coulomb minus two micro coulomb يعني حتى نوع الشحنة + +159 +00:12:14,980 --> 00:12:18,960 +يعطينا minus two يعني مقدارها اثنين ونوعها سالب + +160 +00:12:18,960 --> 00:12:23,040 +صح ولا لأ؟ and five micro coulomb والثالثة five + +161 +00:12:23,040 --> 00:12:25,820 +micro coulomb زي الأولى. مش قابلين I'm located at + +162 +00:12:25,820 --> 00:12:28,280 +the corner of a right triangle as shown in the + +163 +00:12:28,280 --> 00:12:31,960 +figure. دائمًا الرسمة من معطيات السؤال شباب. الـ + +164 +00:12:31,960 --> 00:12:34,360 +triangle هو right وقعدنا نشوف أنه متساوي الساقين + +165 +00:12:34,360 --> 00:12:40,400 +كمان. تمام Find the resultant electric force exerted + +166 +00:12:40,400 --> 00:12:41,360 +on Q3 + +167 +00:12:48,590 --> 00:12:53,130 +هذه الـ Q1 وهذه الـ Q2 وهذه الـ Q3 والمسافات معطية + +168 +00:12:53,130 --> 00:12:56,810 +هذه معطيات. هجت الـ Q2 السالب اللي هو أنا اعتمدت + +169 +00:12:56,810 --> 00:12:59,850 +اللون الأزرق للسالب واللون الأحمر للم + +201 +00:15:11,850 --> 00:15:15,830 +اتجاه القوة. هذا هو اتجاه القوة اللي بيحدده. في + +202 +00:15:15,830 --> 00:15:19,410 +بينهم قوة التنافر. بطل على كيو تلاتة. وقالينكم + +203 +00:15:19,410 --> 00:15:24,030 +شباب بيكترصموا free body diagram of كيو ثري. إذن + +204 +00:15:24,030 --> 00:15:26,650 +بالتاني لما ترصموا free body diagram القوة بتكون + +205 +00:15:26,650 --> 00:15:28,850 +على الشحنة اللي بيكترصمولها لـ free body diagram + +206 +00:15:28,850 --> 00:15:33,370 +ولا لأ. إذن بالتاني لو بدي أدي أحيل شباب هي بتشارج + +207 +00:15:33,370 --> 00:15:34,030 +كيو ثري + +208 +00:15:41,310 --> 00:15:47,270 +القوة اللي على تلاتة من واحد due to Q1 and F23 من + +209 +00:15:47,270 --> 00:15:51,090 +وين جاء الـF23؟ من الـ2 من الـ2 with the direction + +210 +00:15:51,090 --> 00:15:54,350 +shown يلّا نحط الـ direction زي ما قبل حكينا الـQ3 + +211 +00:15:54,350 --> 00:15:59,910 +will be repulsive with Q1 the force on Q3 will be + +212 +00:15:59,910 --> 00:16:03,410 +repulsive بالتاني هتكون القوة بهذه الشكل صح ولا + +213 +00:16:03,410 --> 00:16:03,970 +لأ؟ + +214 +00:16:07,310 --> 00:16:09,590 +حاجات أنا ايش قاعد بديب القوة؟ على مين؟ ايش + +215 +00:16:09,590 --> 00:16:13,190 +المطلوب مني؟ مطلوب القوة على Q3 هذا مطلوب السؤال + +216 +00:16:13,190 --> 00:16:17,430 +أنا هعدده مش باختياري بقول find the resultant + +217 +00:16:17,430 --> 00:16:22,410 +electric force exerted on Q3 تمام؟ على Q3 بقول Q3 + +218 +00:16:22,410 --> 00:16:26,250 +is affected by two forces عليها قوتين Q3 صح ولا + +219 +00:16:26,250 --> 00:16:31,290 +لأ؟ من واحد عليها قوة ومن اتنين عليها قوة بديعوا + +220 +00:16:31,290 --> 00:16:36,070 +واحدة واحدة نبدأ بواحدواحد و تلاتة are like the + +221 +00:16:36,070 --> 00:16:39,950 +same sign of charges صح ولا لأ، اتنين موجبات، + +222 +00:16:39,950 --> 00:16:44,010 +اتانية كماطة، هي خمسة و خمسة، تمام؟ إذا بقول القوة + +223 +00:16:44,010 --> 00:16:47,870 +اللي بينهم repulsive، صح؟ شوف repulsive يعني بدي + +224 +00:16:47,870 --> 00:16:51,970 +تتنافر، بما أن طالب القوة على Q تلاتة بقول Q تلاتة + +225 +00:16:51,970 --> 00:16:55,810 +هي بدي تتنافر، مش واحد، لأن هو طالب Q تلاتة، + +226 +00:16:55,810 --> 00:17:02,140 +بالتالي بقول Q threeسيتأثر من قوة التنافر F13 كما + +227 +00:17:02,140 --> 00:17:06,780 +تشاهد في الفيجارة طيب بالنسبة لـQ2 القوة التانية + +228 +00:17:06,780 --> 00:17:10,080 +بينهم قوة تنافر و لا قوة تجارة طيب إذا أنا أشتغل + +229 +00:17:10,080 --> 00:17:11,580 +على قوة تنافر قواتي تنافر قواتي تنافر قواتي تنافر + +230 +00:17:11,580 --> 00:17:12,280 +قواتي تنافر قواتي تنافر قواتي تنافر قواتي تنافر + +231 +00:17:12,280 --> 00:17:12,540 +قواتي تنافر قواتي تنافر قواتي تنافر قواتي تنافر + +232 +00:17:12,540 --> 00:17:12,960 +قواتي تنافر قواتي تنافر قواتي تنافر قواتي تنافر + +233 +00:17:12,960 --> 00:17:22,900 +قواتي تنافر قواتي تنافر قواتي + +234 +00:17:22,900 --> 00:17:29,480 +تنافر الشباب اللي كان على رأسنا حددت اتجاه القوتين + +235 +00:17:29,480 --> 00:17:35,320 +واضح أن بالتالي F23 is directed along the negative + +236 +00:17:35,320 --> 00:17:44,180 +x axis ولا لأ لكن f13 between the x and the y بدي + +237 +00:17:44,180 --> 00:17:48,260 +تحليل صح أي مرة بحلل بظبط ولا لا أخذنا التحليل + +238 +00:17:48,260 --> 00:17:51,780 +واحدة واحدة ما زال ما حددت الاتجاه و خلصت الدورة + +239 +00:17:51,780 --> 00:17:54,880 +جيب الـ magnitude و الـ magnitude قانون كلهم بيجيبهم + +240 +00:17:54,880 --> 00:17:59,670 +صح ولا لا كم بعد أنا هادى الخطوة كتير ماهمأول ما + +241 +00:17:59,670 --> 00:18:01,890 +بدي أدي بدي أحدد الـ directions على الرسمة يا شباب + +242 +00:18:01,890 --> 00:18:04,850 +أول خطوة بدي أعملها أحدد الـ directions على الرسمة + +243 +00:18:04,850 --> 00:18:08,150 +وبعد كده بدي بالـ magnitude و بشتغل كـ vectors سهلة + +244 +00:18:08,150 --> 00:18:15,270 +نتعامل معها بقول F13 كـ magnitude عشان كده مش حاطب + +245 +00:18:15,270 --> 00:18:19,810 +vector فوق الـ F equal K في الـ absolute value لـ Q1 + +246 +00:18:19,810 --> 00:18:25,590 +multiplied by the absolute value of Q3 over R132 + +247 +00:18:27,960 --> 00:18:39,520 +9 X 9 Q1 5 X 10⁻⁶ الماكرو كلهم يتحولوا لكلهم شباب + +248 +00:18:39,520 --> 00:18:45,000 +مينساش الـ S I unit of charge is كلهم مش ماكرو كلهم + +249 +00:18:45,000 --> 00:18:50,060 +الـدانى ماكرو كلهم يتحولها و الماكرو 10⁻⁶ و Q3 فرضه + +250 +00:18:50,060 --> 00:18:54,980 +5 بحطها طب مربع أي مسافة او point oneهل المسافة + +251 +00:18:54,980 --> 00:18:58,260 +بين واحد و تلاتة او point one و لا اي رقم بدي اشوف + +252 +00:18:58,260 --> 00:19:02,700 +و بدي اخده بقدر اجيبه من الـ FIFA goals زي ما انتوا + +253 +00:19:02,700 --> 00:19:08,240 +حكيته تمام بقول nine ten to power nine هذا مقدار K + +254 +00:19:08,240 --> 00:19:14,540 +five ten to power minus six the value of Q1 five + +255 +00:19:14,540 --> 00:19:17,680 +ten to power minus six the value of Q3 they are + +256 +00:19:17,680 --> 00:19:25,380 +equal over هذه المسافة شباب هي مربع جذر التربيعي لـ + +257 +00:19:25,380 --> 00:19:29,300 +0.1 ولا لأ من فيثاغورس صح ولا لأ هاي فيثاغورس + +258 +00:19:29,300 --> 00:19:35,720 +بتجيبها فحطيتها وربعتها بس + +259 +00:19:35,720 --> 00:19:39,660 +2 تحت الجذر والباقي 0.1 طبعا ربعتها 0.1 اللي هي + +260 +00:19:39,660 --> 00:19:43,260 +اللي فوق طولها تحت 11 نيوتن طبعا هاي أول واحدة + +261 +00:19:43,260 --> 00:19:46,800 +جيبتها 11 نيوتن لإن أنا كنت قادر أقول باتجاه الـ I + +262 +00:19:46,800 --> 00:19:50,080 +ولا باتجاه الـ J صح ولا لأ واحدة واحدة ماني بحللها + +263 +00:19:50,080 --> 00:19:57,610 +بس أجيب أختها أعطوه كمجموعة بقول F23 equal to the + +264 +00:19:57,610 --> 00:20:04,070 +absolute value of Q2 over the square of the + +265 +00:20:04,070 --> 00:20:08,450 +distance between them بدا نقل الشباب لما حطوا Q2 + +266 +00:20:08,450 --> 00:20:12,070 +حطوا absolute value بديش بكرة طالب يقولوا حرام هذه + +267 +00:20:12,070 --> 00:20:16,200 +السالب ماحطهاش في جوابه السالب ممنوع تنحط لأن الـ + +268 +00:20:16,200 --> 00:20:19,640 +absolute value يعني أن أنا ماليش دقوة بالسالب و + +269 +00:20:19,640 --> 00:20:22,480 +أنا ماديه magnitude بالتالي أنا ماني بدي اعود مش + +270 +00:20:22,480 --> 00:20:26,700 +واحد يحط لي minus two لأ هي two مع أن المعطيات + +271 +00:20:26,700 --> 00:20:29,840 +هناك minus minus one في الآخر عشان كده أنا حاطط الـ + +272 +00:20:29,840 --> 00:20:32,480 +absolute value للشباب وهذه بأكسل الشغلات الكتيرة + +273 +00:20:32,480 --> 00:20:36,050 +اللي حاطط السالب بتعرفها خطأ عن خطأ وبالتالي لما + +274 +00:20:36,050 --> 00:20:39,830 +أقول absolute value لأنه أنا بجيب المجلد two تبع + +275 +00:20:39,830 --> 00:20:43,490 +الـ force two ten to power minus six the value of + +276 +00:20:43,490 --> 00:20:47,330 +q2 five ten to power minus six the value of q3 + +277 +00:20:47,330 --> 00:20:51,470 +over the distance between two and three 0.1 ولا + +278 +00:20:51,470 --> 00:20:57,240 +لأ؟ 0.1 ردعتها اشتغلت طولها التسعة نيوتن الـ two + +279 +00:20:57,240 --> 00:21:01,480 +forces كمجموعة جابه الـ direction جاهز إذا فيه أي + +280 +00:21:01,480 --> 00:21:05,340 +طالب بنسى بيقول خلص السؤال نجمع تسعة و أحداشر + +281 +00:21:05,340 --> 00:21:09,620 +عشرين في مشكلة كلها اللي بنشتغله و كلها الشطر + +282 +00:21:09,620 --> 00:21:13,680 +الأولاني الفيزيائي أتعلمنا كيف نجيب نتعامل مع الـ + +283 +00:21:13,680 --> 00:21:18,000 +vectors بينفعش نقول عشرين صح ولا لأ؟ لازم أشتغل + +284 +00:21:18,000 --> 00:21:23,040 +الآن أحلل عشان أشتغل أحلل برجع بقول عشان تجمع + +285 +00:21:23,040 --> 00:21:27,820 +اكتبلي الـ two forces كـ vectors يعني بدلالة I and J + +286 +00:21:27,820 --> 00:21:32,060 +او K اذا مش موجود مش هيكون عندى يلا نشغل F13 شباب + +287 +00:21:32,060 --> 00:21:36,120 +متفقين بدي تحليل ولا لا؟ يلا نحلل بقول هي تحلل + +288 +00:21:36,120 --> 00:21:41,080 +اتحرك بدي اتحلل positive X component and positive + +289 +00:21:41,080 --> 00:21:46,200 +Y component عشان احلل بدي زاوية صح ولا لا الزاوية + +290 +00:21:46,200 --> 00:21:51,780 +هادى خليني نشوفها طبعا خلّيني اقول زاوية ماليش دعوة + +291 +00:21:51,780 --> 00:21:54,500 +فيها أنا بدي في الآخر الـ cosine تبعها و الـ sine + +292 +00:21:54,500 --> 00:21:59,080 +تبعها صح ولا لأ هاي زاوية بقدر أقول الآن ان F13 + +293 +00:21:59,080 --> 00:22:03,700 +بسويها F13 اللي هي ضالعة من 11 11 cosine فيتا + +294 +00:22:03,700 --> 00:22:07,920 +باتجاه الـ I زائد 11 sine فيتا باتجاه الـ J ولا لأ + +295 +00:22:07,920 --> 00:22:13,000 +اه هاي الحللنها طلعت هيك مافيش مشكلة ضل علي اجيب + +296 +00:22:13,000 --> 00:22:16,320 +cosine فيتا و sine فيتا عشان اجيب cosine فيتا و + +297 +00:22:16,320 --> 00:22:20,850 +sine فيتا طلعت فيتا هي نفسها ديمش هي ذاك الزاوية + +298 +00:22:20,850 --> 00:22:25,390 +الزاوية الثانية بالتقابل بالرأس بغض النظر عن أنها + +299 +00:22:25,390 --> 00:22:29,910 +تلقى 45 بايت شانس لو ماكنش تعوج أديش الزاوية مش الـ + +300 +00:22:29,910 --> 00:22:35,230 +cosine هي بيساوي 0.1 على الوتر cosine هي بيساوي 0.1 + +301 +00:22:35,230 --> 00:22:38,010 +على الوتر لذا أنا مانيش تعوج أديش الزاوية اللي ده + +302 +00:22:38,010 --> 00:22:41,430 +هو بالأبعاد أنا بدي أنا بدي القابل و الوتر و + +303 +00:22:41,430 --> 00:22:44,210 +المجاور و الوتر إذا موجودين مانا أديش الزاوية + +304 +00:22:44,210 --> 00:22:47,690 +بتعني مش لإن في خطأ شاية أي زاوية بيغلب فيها + +305 +00:22:47,690 --> 00:22:51,760 +الطالب وحطها 45 حتى لو ماكنتش 45 لأ الزاوية بدي + +306 +00:22:51,760 --> 00:22:55,100 +أجيبها في نهاية من أبعادها لإنها بقت شهص مع طيارة + +307 +00:22:55,100 --> 00:22:59,040 +الدفنين 45 طب أتكلم من 45 القصارى والصين بيساوي + +308 +00:22:59,040 --> 00:23:03,980 +واحد و بيساوي 0.707 فضال علي مجمرة أكتبهم هيطلعت + +309 +00:23:03,980 --> 00:23:09,340 +F13 كـ vector زي ما انتوا شايفين لا هي سينية ولا هي + +310 +00:23:09,340 --> 00:23:13,100 +صادية it has two components X component and Y + +311 +00:23:13,100 --> 00:23:17,990 +component بالنسبة للتانية بدي تحليل لأ جاهزة لأ + +312 +00:23:17,990 --> 00:23:24,350 +جاهزة after three we have ما هي سالب I السالب مش + +313 +00:23:24,350 --> 00:23:27,350 +عشان التنين سالب شباب لأ السالب أن هو تجاه سالب + +314 +00:23:27,350 --> 00:23:32,910 +صيني حطي السالب I هيك خلصنا حاجات بدي أجمع بقول + +315 +00:23:32,910 --> 00:23:38,190 +القوة الكلية على F3 بيساوي مجموع القوتين صح ولا + +316 +00:23:38,190 --> 00:23:44,870 +لأ؟ فبتصير Now the resultant force acting on Q3 is + +317 +00:23:44,870 --> 00:23:49,250 +the vector sum of the two forces سهل أصير جمعته في + +318 +00:23:49,250 --> 00:23:53,950 +vector الشباب جسدنا سهل أبتصير بعد كده F3 بتسوي + +319 +00:23:53,950 --> 00:23:59,490 +F13 plus F23 وكنا بنعرف نجمع في vectors من يجمعهم + +320 +00:23:59,490 --> 00:24:05,010 +الـ I مع الـ I و الـ J مع الـ J بتطلع عندى minus 1.1 I + +321 +00:24:05,010 --> 00:24:11,250 +plus 7.9 J نيوتن صحيح يا شباب؟ في اي مشكلة؟ في اي + +322 +00:24:11,250 --> 00:24:13,810 +تعليق اي استفسار على السؤال احكي + +323 +00:24:17,250 --> 00:24:21,270 +طبعا يعني هو عادي أسئلة من أسئلة كتير مشهورة في + +324 +00:24:21,270 --> 00:24:24,530 +الكتاب و في الامتحانات ايش هيتغير زي ما عاكي عامة + +325 +00:24:24,530 --> 00:24:27,570 +اما هيتغير الأزرق محل الأحمر و الأحمر محل الأزرق + +326 +00:24:27,570 --> 00:24:30,770 +أو المثلث بدل ما هو قائم ازاى يعمل ايه متساوي + +327 +00:24:30,770 --> 00:24:34,590 +الأضلاع متساوي الساقين ازاي ماستين و تلاتين ممكن + +328 +00:24:34,590 --> 00:24:37,570 +يجيبلي اربع شحنات محطوطين عرص مربع و لا مرعرص + +329 +00:24:37,570 --> 00:24:40,270 +مستطيل في النهاية بيكون عندي في هذه الحالة تلاتة + +330 +00:24:40,270 --> 00:24:45,550 +forces صح ولا لأ إذا هاي العامر علينا مجرد شغلات زي + +331 +00:24:45,550 --> 00:24:48,770 +هيك أن أنا اول حاجة بدي احدد الـ direction of the + +332 +00:24:48,770 --> 00:24:52,350 +forces on the diagram عن الرسمة وبعد كده اجيب الـ + +333 +00:24:52,350 --> 00:24:55,170 +magnitudes و بعد ما اجيب الـ magnitude و الـ + +334 +00:24:55,170 --> 00:24:58,770 +direction أنا محدده اكتب الـ forces كـ vectors عشان + +335 +00:24:58,770 --> 00:25:02,710 +اجمع صح شبان ..بالناس نقلطوا نجمعهم كـ scalars لان + +336 +00:25:02,710 --> 00:25:07,010 +هذه a very big mistake انه اجمع كـ scalar غلطة + +337 +00:25:07,010 --> 00:25:10,450 +لا تختفربنفعش نقول والله تسعة واحد عشان عشان عشان + +338 +00:25:10,450 --> 00:25:11,490 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +339 +00:25:11,490 --> 00:25:11,710 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +340 +00:25:11,710 --> 00:25:12,030 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +341 +00:25:12,030 --> 00:25:14,530 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +342 +00:25:14,530 --> 00:25:14,550 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +343 +00:25:14,550 --> 00:25:15,110 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +344 +00:25:15,110 --> 00:25:26,790 +عشان عشان عشان عشان عشان عشان + +345 +00:25:26,790 --> 00:25:35,930 +عشان + +346 +00:25:36,370 --> 00:25:40,670 +نشوف ايش جاهز بيقول الـ Q1 equal plus 15 + +347 +00:25:40,670 --> 00:25:46,470 +microcoulomb at x equal 2 meter مديني بعضها و كأنه + +348 +00:25:46,470 --> 00:25:50,390 +بيعمللي على الـ x axis يعني تمام الـ Q2 equal 6 + +349 +00:25:50,390 --> 00:25:53,250 +microcoulomb at the origin و Q2 محطوطة في منطقة + +350 +00:25:53,250 --> 00:26:00,760 +الأصل and Q3 at x طبعا الـ Q3 لم يديكم مقدارها ولا + +351 +00:26:00,760 --> 00:26:03,780 +نوعها صح ولا لأ تمام بصراحة بصراحة ما زال مش مديني + +352 +00:26:03,780 --> 00:26:05,820 +نوعها ممكن اعتبرها positive ممكن اعتبرها negative + +353 +00:26:05,820 --> 00:26:10,800 +صح ولا لأ تمام إذا كانت قوة الكهربية المتواجدة + +354 +00:26:10,800 --> 00:26:21,400 +في الـ Q3 صحيحًا، إذا كانت قوة الكهربية + +355 +00:26:21,400 --> 00:26:22,400 +المتواجدة في الـ Q3 صحيحًا، إذا كانت قوة + +356 +00:26:22,400 --> 00:26:22,720 +الكهربية المتواجدة في الـ Q3 صحيحًا، إذا كانت + +357 +00:26:22,720 --> 00:26:22,840 +قوة الكهربية المتواجدة في الـ Q3 صحيحًا، إذا + +358 +00:26:22,840 --> 00:26:23,080 +كانت قوة الكهربية المتواجدة في الـ Q3 صحيحًا، + +359 +00:26:23,080 --> 00:26:23,540 +إذا كانت قوة الكهربية المتواجدة في الـ Q3 + +360 +00:26:23,540 --> 00:26:26,520 +صحيحًا، إذا كانت قوة الكهربية المتواجدة في الـ + +361 +00:26:26,520 --> 00:26:30,230 +Q3 صحيحًا، إذا كانت قوة الكهربية المبسيطة، + +362 +00:26:30,230 --> 00:26:33,690 +المعطى صار مطلوب و المطلوب صار معطى، مش أكثر بس + +363 +00:26:33,690 --> 00:26:37,190 +أول نص من الرسمة، الرسمة من طبيعة الأسنان، هي + +364 +00:26:37,190 --> 00:26:40,530 +الثلاث شحنات طبعا اللي في النص أنا حطيتها سالب عشان + +365 +00:26:40,530 --> 00:26:43,450 +نغير هال .. هـالألوان، يعني الصور في حلوة ألوان، + +366 +00:26:43,450 --> 00:26:47,050 +لأنه التالتة ما جاليش سالبة هو، صح ولا لا؟ ممكن + +367 +00:26:47,050 --> 00:26:49,710 +تحطها موجيبة، ممكن تحطها سالبة، أنا اخترت سالبة، + +368 +00:26:49,710 --> 00:26:52,550 +تمام؟ اللي أنا .. التنتين الأولانية هو دانياهم + + +401 +00:29:12,540 --> 00:29:16,670 +طب أنت حاططها عند X، طب ممكن X تكون هنا لا هتبرطها + +402 +00:29:16,670 --> 00:29:22,890 +هنا؟ بنفع تكون حاجة زرقاء هنا تكمل لي + +403 +00:29:22,890 --> 00:29:27,970 +بس نص دقيقة، هل في إمكانية القوتين يكونوا عكس بعض؟ + +404 +00:29:27,970 --> 00:29:33,650 +لأ، مستحيل، بيصيروا، خليها زرقاء زي ما هي، لو كانت + +405 +00:29:33,650 --> 00:29:37,030 +حاجة زرقاء، بيبقى تصير هنا تجاذب و ثانية تجاذب + +406 +00:29:37,030 --> 00:29:41,260 +ولا لأ؟ إذا نفسك تجيب القوة تكون P0، صح؟ إذا معناته + +407 +00:29:41,260 --> 00:29:45,780 +لازم تكون X في النص، صح ولا لأ؟ لكن لو معطياتي + +408 +00:29:45,780 --> 00:29:51,180 +السؤال من أصله بيقول Q1 15 و Q2 سالب 6، مش 6، + +409 +00:29:51,180 --> 00:29:55,100 +معناته هذه ممنوع تكون في النص، مظبوط ولا لأ؟ لازم + +410 +00:29:55,100 --> 00:30:00,500 +تكون برة، طبعا برة و إن بالضبط بيدّح حسب الأرقام و + +411 +00:30:00,500 --> 00:30:04,180 +الـ magnitude، مظبوط، عشان يتساوى تمامًا إذا احنا الآن + +412 +00:30:04,180 --> 00:30:08,640 +عملنا إن أنا اختياري لازرق مجرد هيك مزاج أنا ممكن + +413 +00:30:08,640 --> 00:30:11,740 +أختارها حمراء عشان كده هو أعطاني إياها Q3 وماجليش + +414 +00:30:11,740 --> 00:30:14,920 +positive or negative لأنه عارف في الحالتين تظبط + +415 +00:30:14,920 --> 00:30:19,020 +معاه تمام هيك؟ تمام إذا أنا كيف بده احتياط فهو بده + +416 +00:30:19,020 --> 00:30:23,860 +X، X المجهول الوحيد تمام قال لي the two forces + +417 +00:30:23,860 --> 00:30:29,560 +acting on Q3 are both attractive صح ولا لأ؟ and so + +418 +00:30:29,560 --> 00:30:35,820 +opposite عشان كده opposite و هذا هم F1 تلاتة و F2 + +419 +00:30:35,820 --> 00:30:39,240 +تلاتة صح ولا لأ؟ مازالهم opposite إذا كلامه صح ممكن + +420 +00:30:39,240 --> 00:30:42,460 +يكون صفر إيش ضال عليّ؟ لازم يتساوى مش لازم يتساوى + +421 +00:30:42,460 --> 00:30:47,260 +لازم يتساوى كفوش opposite و بس لازم يتساوى عشان + +422 +00:30:47,260 --> 00:30:53,200 +أجمعهم يطلع صفر تمام the net force to be zero + +423 +00:30:58,450 --> 00:31:06,030 +أفعال التلاتة يجب أن تكون أكثر + +424 +00:31:06,030 --> 00:31:14,970 +من 4 بيكون أكثر من 4 بيكون أكثر من 4 بيكون أكثر + +425 +00:31:15,370 --> 00:31:22,430 +بقول F13 بتساوي K Q1 absolute value في Q3 absolute + +426 +00:31:22,430 --> 00:31:26,970 +value over the distance between 1 and 3 square و + +427 +00:31:26,970 --> 00:31:32,830 +الثانية 2 و 3 K Q2 Q3 over R23 square صحيح الشباب + +428 +00:31:32,830 --> 00:31:37,930 +شغالين ولا لأ؟ صح صحين معنا تمام هجيت R13 هي قد إيش + +429 +00:31:37,930 --> 00:31:44,910 +بين 1 و 3 شايفين على الرسمة قد إيش المسافة دي ما نقص X + +430 +00:31:44,910 --> 00:31:50,590 +لأنه بين واحد واثنين اثنين أو بين two and three X + +431 +00:31:50,590 --> 00:31:57,850 +إذا المسافة between one and three اللي هي هادي + +432 +00:31:57,850 --> 00:32:03,990 +عبارة عن 2 ناقص X صحيح الشباب ولا لأ؟ and the + +433 +00:32:03,990 --> 00:32:08,470 +distance between two and three is X طبعا واضح من + +434 +00:32:08,470 --> 00:32:13,810 +الرسمة لأن إن K مع K بتروح عنها تمام و Q3 المجموعة + +435 +00:32:13,810 --> 00:32:20,430 +مش مديني إياها بلزمني لأ بقول أول K + +436 +00:32:20,430 --> 00:32:25,450 +مع K الله سهل عليهم صحيح ولا لأ؟ و Q3 with Q3 + +437 +00:32:25,450 --> 00:32:31,470 +cancel each other بيروح بيروح عوض الآن عوضنا imply + +438 +00:32:31,470 --> 00:32:40,050 +that Q1 المعطيني إياها 15 X 10⁻⁶ على 2 ناقص X² صح ولا + +439 +00:32:40,050 --> 00:32:46,710 +لأ equal 6 the magnitude of Q2 على X تربيع خلاص + +440 +00:32:46,710 --> 00:32:57,450 +10⁻⁶ with 10⁻⁶ cancel هذه الله سهل عليها هذه بصير + +441 +00:32:57,450 --> 00:33:02,210 +2 و هذه بصير 5 مظبوط ولا لأ؟ هذه بصير 4 + +442 +00:33:08,620 --> 00:33:15,820 +ندربوا دور التبادل بصير 5x2 equal to 8 ناقص 8x + +443 +00:33:15,820 --> 00:33:24,340 +زائد 2x تربيع فبصير بهذا الشكل رتبها طبعا هذه x + +444 +00:33:24,340 --> 00:33:27,880 +تربيع و هذه x تربيع لما نحنا هادي مديها هناك و + +445 +00:33:27,880 --> 00:33:32,420 +نرتب كل معادلة فبصير عندي معادلة 3x2 زائد 8x + +446 +00:33:32,420 --> 00:33:37,000 +ناقص 8 equal to 0 معادلة من الدرجة الثانية في + +447 +00:33:37,000 --> 00:33:39,880 +معادلة عامة لحلها صح ولا لأ؟ طبعا احنا بنعرف إن في + +448 +00:33:39,880 --> 00:33:43,520 +بعض المعادلات بنحللها لكن مش كل المعادلات متحللة في + +449 +00:33:43,520 --> 00:33:46,980 +عندي قانون عام بحيث كل معادلة التبادلية القانون + +450 +00:33:46,980 --> 00:33:50,740 +العام مش حافظه بهمش موجود في كل الكتب تمام بس + +451 +00:33:50,740 --> 00:33:54,620 +تعرف إن في قانون عشان تدور عليه أما إذا أنا حافظ + +452 +00:33:54,620 --> 00:33:58,880 +القانون مش معضلة لو أنت كنت ناسيه لكن معضلة تقول + +453 +00:33:58,880 --> 00:34:02,320 +هذا كيف بنحل المعادلة لكن لما تعرف إن لأ والله في + +454 +00:34:02,320 --> 00:34:05,280 +معادلة بتطلع على أي كتاب و بلاش على أي كتاب بقيت و + +455 +00:34:05,280 --> 00:34:09,740 +أنت قاعد على الـ net و على الـ laptop و هو في حضنك + +456 +00:34:09,740 --> 00:34:14,060 +تحط second order equation بتطلع لك المعادلة و + +457 +00:34:14,060 --> 00:34:16,340 +بيجيب لك إياها و بتجيبها يعني بمعنى آخر بس ليه أعرف + +458 +00:34:16,340 --> 00:34:19,700 +إن كيف كانت الحالة تحكي ممكن نجيب الجذر التربيعي + +459 +00:34:19,700 --> 00:34:24,320 +على الطرفين يعني بدون ... + +460 +00:34:24,320 --> 00:34:32,060 +إذا بتجيبها مالك حكم المالكة بدون امتحانات لأ بروح + +461 +00:34:32,060 --> 00:34:34,180 +التربيع مع التربيع لما .. إن هو تربيع و أين هو + +462 +00:34:34,180 --> 00:34:39,040 +التربيع التالي بتروحه .. أما + +463 +00:34:39,040 --> 00:34:41,200 +تبقى بتاخد جزء التربيع اللي هتغلقه .. من فوق و من + +464 +00:34:41,200 --> 00:34:43,700 +فوق .. تمام .. اه من أول و من فوق .. اه يعني x + +465 +00:34:43,700 --> 00:34:46,300 +بيساوي 2 ناقص x بس بتحتاج تاخد جزء التربيع على + +466 +00:34:46,300 --> 00:34:49,040 +خمسة أو اثنين .. اه تمام .. اه فكرت إن أنت بتلعب + +467 +00:34:49,040 --> 00:34:54,160 +في تحت .. اه من أول .. تمام .. خلينا .. عندك محل + +468 +00:34:54,160 --> 00:34:58,120 +بتطلع شباب بس طبعا هناك حاجات ينسوا الشغل معايا مش + +469 +00:34:58,120 --> 00:35:01,680 +مشكلة بتجيبها إذا انتبهت في عندي حلين شباب طلعوا + +470 +00:35:01,680 --> 00:35:04,340 +الحلين إيش بتطلعوهم؟ واحد positive واحد negative + +471 +00:35:04,340 --> 00:35:07,960 +طبعا أنتم عارفين لو كان هذا زمن سالب بترضه ولا لأ؟ + +472 +00:35:07,960 --> 00:35:13,860 +لأنه منطقيًا ما فيش زمن سالب هنا عندي جوابين هذول X X + +473 +00:35:13,860 --> 00:35:17,040 +ممكن تكون موجبة وممكن تكون سالبة حسب رسمتي الـ + +474 +00:35:17,040 --> 00:35:21,740 +origin هي أول حمراء على يدي اليمين صح ولا لأ؟ لما + +475 +00:35:21,740 --> 00:35:25,100 +تقول لي X سالبة معناته وين هذه الزجاجة واجعة؟ على + +476 +00:35:25,100 --> 00:35:30,300 +يسار Q2 ولا لأ؟ أنت فين قانيها؟ لأ لأ إذا الـ + +477 +00:35:30,300 --> 00:35:34,680 +second solution is not acceptable ليش؟ لأنه هناك الـ + +478 +00:35:34,680 --> 00:35:37,940 +two forces are in the same direction إذا بيقول لي + +479 +00:35:37,940 --> 00:35:41,880 +the second solution اللي هو السالب is not + +480 +00:35:41,880 --> 00:35:46,920 +acceptable since at a point to the left لأنه + +481 +00:35:46,920 --> 00:35:52,800 +بيقول لي لما تكون x سالبة معناته هنا صارت هادي هنا + +482 +00:35:52,800 --> 00:35:58,180 +لما تكون هذه سالبة بتكون هي قوة والثاني هيها صحيح + +483 +00:35:58,180 --> 00:36:02,060 +اللي هنا؟ و هل في هذا الموضوع ممكن القوة تكون + +484 +00:36:02,060 --> 00:36:06,730 +صفر؟ لا، إذن فالحل الثاني ليس مقبولًا، لأن في + +485 +00:36:06,730 --> 00:36:11,790 +نقطة نحو الـ Q2، القوتين ستكون في نفس الاتجاه، و + +486 +00:36:11,790 --> 00:36:14,090 +لذلك لا يمكن أن يكون هناك نقطة أزرق على الإطلاق، + +487 +00:36:14,090 --> 00:36:17,290 +حتى لو كانت مجموعاتها متساوية، إذا إن الجواب + +488 +00:36:17,290 --> 00:36:25,810 +الوحيد هو X بيساوي 0.78 متر، إذا أنا حددت X، احكي، + +489 +00:36:27,540 --> 00:36:31,400 +اه زي ما أنا حكيت لك في الأول إنه لو كانت بدل ما + +490 +00:36:31,400 --> 00:36:33,680 +تكتب positive واحدة positive واحدة negative إذا + +491 +00:36:33,680 --> 00:36:37,400 +لازم الشحنة تكون برة لا positive لا negative إذا + +492 +00:36:37,400 --> 00:36:40,480 +في عندي حلّين لا positive لا negative لأنه ممكن + +493 +00:36:40,480 --> 00:36:45,890 +تكون برة هنا صح؟ ما عندها X موجبة بقى، طب و برة هنا X + +494 +00:36:45,890 --> 00:36:48,750 +سالب بقى، إذا أنت تلقي لهم معنى، طبعًا بده أطلع + +495 +00:36:48,750 --> 00:36:51,090 +عايش لبعني الثاني و أشوف هو صح ولا لأ، إذا ممكن ما + +496 +00:36:51,090 --> 00:36:54,570 +زال برة، في الحالتين برة، positive برة، بس بتكون + +497 +00:36:54,570 --> 00:36:57,510 +أكثر من 2، عايش أن تكون برة، X لازم تكون two point + +498 +00:36:57,510 --> 00:37:00,890 +كذا أو أربعة أو سالب، حتى لو سالب أو point one، + +499 +00:37:00,890 --> 00:37:04,750 +ممكن تكون، إذا ممكن الحلين يكون لهم معنى فيزيائي، + +500 +00:37:04,750 --> 00:37:06,570 +كنت عليها؟ تمام، غيره؟ + +501 +00:37:12,530 --> 00:37:16,810 +لأ، سنة شوية، وقت إيش بتكون بالنص في الظابط، بينهم + +502 +00:37:16,810 --> 00:37:21,210 +جزاك الله، برافو عليك، لكن وقت إيش بتكون بالنص في الظابط، + +503 +00:37:21,210 --> 00:37:27,790 +لما يكون الشحنتين متساويتين، اه مازال + +504 +00:37:27,790 --> 00:37:31,790 +الاثنتين متشابهات، مش متشابهات بالضرورة، مش متشابهات، + +505 +00:37:31,790 --> 00:37:34,990 +متشابهات، يعني لو ابتدأت صليبات نفس القضية، بتكون + +506 +00:37:34,990 --> 00:37:37,650 +الشحنة الثالثة في النص، مش في النص بالضبط، in + +507 +00:37:37,650 --> 00:37:41,190 +between يعني، in between في النص، تمام، أقرأ أما + +508 +00:37:41,190 --> 00:37:44,570 +لما يكونوا الشحنتين opposite بيكون الشحنة الثالثة + +509 +00:37:44,570 --> 00:37:47,850 +عشان تكون الـ equilibrium برة طبعا على يمين ولا على + +510 +00:37:47,850 --> 00:37:51,470 +يسار بيعتمد على الـ magnitude تمام لما تكون أجرب + +511 +00:37:51,470 --> 00:37:56,630 +لأن كبيرة صغيرة مع صغيرة أجرب لصغيرة صحيح تبع + +512 +00:37:56,630 --> 00:38:03,310 +السؤال الآخر هذا سؤال عادي جرت إن الـ force is + +513 +00:38:03,310 --> 00:38:09,040 +given and we find the distance مش أكثر تمام احنا + +514 +00:38:09,040 --> 00:38:12,780 +حكينا في البداية إن الـ electric force is a force + +515 +00:38:12,780 --> 00:38:16,300 +إيش يعني force؟ يعني نطبق عليها جميع قوانين + +516 +00:38:16,300 --> 00:38:19,860 +الـ Newton صح ولا لأ؟ بدأ مواجهي المعلومة عشان ما + +517 +00:38:19,860 --> 00:38:25,260 +اتضلاش هيك زمنية مجردة جلي بدي أرجعك لفيزياء ألف + +518 +00:38:25,260 --> 00:38:30,120 +بسؤال وأطبق عليها قوانين الـ Newton فهي السؤال + +519 +00:38:30,120 --> 00:38:35,030 +الثالث إيش السؤال الثالث بيقول؟ بيقول لي two identical + +520 +00:38:35,030 --> 00:38:39,870 +charge spheres كورتين شباب لكن هاتين الكورتين ليس + +521 +00:38:39,870 --> 00:38:44,840 +عنده identical يعني لهما نفس الحاجة نفس الكتلة نفس + +522 +00:38:44,840 --> 00:38:50,100 +الشحنة كل حاجة identical each of mass thirty gram + +523 +00:38:50,100 --> 00:38:54,780 +ثلاثين جرام and its charge Q كل واحدة فيهم شحنتها + +524 +00:38:54,780 --> 00:39:00,720 +Q زي بعض يعني are hanged in equilibrium ومعلقتين + +525 +00:39:00,720 --> 00:39:07,070 +ومتزنين الاتزان أخذناه له شروطه والشروط الثلاثة + +526 +00:39:07,070 --> 00:39:11,570 +تبعته إن the sum of f x equal to zero the sum of f + +527 +00:39:11,570 --> 00:39:14,410 +y equal to zero and the torque about any point + +528 +00:39:14,410 --> 00:39:19,110 +must be zero صح ولا لأ؟ تمام نرسم الرسمة بيقول the + +529 +00:39:19,110 --> 00:39:22,330 +length of each string طبعا مربوطتين بحبل هذول + +530 +00:39:22,330 --> 00:39:27,790 +الكورتين طول كل حبل 0.15 متر والزاوية اللي بيعملها + +531 +00:39:27,790 --> 00:39:33,740 +الحبل خمس درجات هذا هي هاي الكورتين الحمراء طبعًا كمان + +532 +00:39:33,740 --> 00:39:37,740 +مرة ممكن يكونوا الاثنتين زرقاء؟ ممكن ممكن تكونوا واحدة + +533 +00:39:37,740 --> 00:39:40,380 +حمراء وواحدة زرقاء وتكونوا معلقتين هناك؟ لأ لأ لأ + +534 +00:39:40,380 --> 00:39:43,820 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +535 +00:39:43,820 --> 00:39:44,240 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +536 +00:39:44,240 --> 00:39:44,480 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +537 +00:39:44,480 --> 00:39:45,540 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +538 +00:39:45,540 --> 00:39:47,300 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ ل + +539 +00:39:51,000 --> 00:39:54,400 +هذول in equilibrium طول الحبلين و صمم الحبلين + +540 +00:39:54,400 --> 00:39:58,220 +و الخطوط هذول مربوطين مسافات مش أكثر الزاوية بعد + +541 +00:39:58,220 --> 00:40:02,620 +ما تنافروا طبعًا هم تنافروا لأنهم متشابهات بعد ما + +542 +00:40:02,620 --> 00:40:06,060 +تنافروا مالهم زاوية جاس الزاوية لجوها five + +543 +00:40:06,060 --> 00:40:10,310 +degree جيلي أو جيت شحنة هذه القرار طبعًا أي واحدة + +544 +00:40:10,310 --> 00:40:14,290 +منهم ممكن نسميها qq مظبوط ولا لأ؟ عشان أشتغل وفيه + +545 +00:40:14,290 --> 00:40:17,170 +equilibrium بدي أرسم الـ free body diagram صح ولا + +546 +00:40:17,170 --> 00:40:20,910 +لأ عشان أقول the sum of fx و the sum of fy بدي الـ + +547 +00:40:20,910 --> 00:40:25,910 +forces لأ لأ نرسم ونحل بيقول هذه خلّي المسافة 2A + +548 +00:40:25,910 --> 00:40:30,950 +عشان إن هذه إيه شباب من هالهد وهذه إيه يعني هي + +549 +00:40:30,950 --> 00:40:38,130 +إيه وهذه إيه ماشي طبعًا a بقدر أجيبها لأن sin θ + +550 +00:40:38,130 --> 00:40:46,810 +بتساوي a على 0.15 ولا لأ؟ sin θ بتساوي a over 0.15 + +551 +00:40:46,810 --> 00:40:54,630 +يعني من هنا a بتساوي 0.15 في sin θ وثمانية هي five + +552 +00:40:54,630 --> 00:40:57,750 +إذا a ممكن أجيبها يعني أنا مش فاكر إيش بدنا إياها + +553 +00:40:57,750 --> 00:41:03,490 +تمام هجيت بيقول لي let it is enough to study the + +554 +00:41:03,490 --> 00:41:06,050 +equilibrium state of one of the spheres بدي أنا + +555 +00:41:06,050 --> 00:41:09,670 +أركز على واحدة من الـ sphere بتكفيني الـ free body + +556 +00:41:09,670 --> 00:41:11,950 +diagram of the left sphere الـ left sphere اللي + +557 +00:41:11,950 --> 00:41:15,930 +هناك ركزوا عليها ونشوف إيش عليها قوة الشباب طبعًا + +558 +00:41:15,930 --> 00:41:19,610 +احنا في بداية كنا أول قوة ما ننساهاش الشيء الوزن + +559 +00:41:19,610 --> 00:41:24,050 +صح ولا لأ؟ كيف اتجاه الوزن؟ directly downward صحيح + +560 +00:41:24,050 --> 00:41:25,390 +إلى أسفل يلا نرسم + +561 +00:41:28,500 --> 00:41:32,720 +high lift sphere high mg صح ولا لأ؟ زي ما حكت + +562 +00:41:32,720 --> 00:41:36,840 +منكم، في شد، في حبل، مبين، طبعًا؟ الـ normal force + +563 +00:41:36,840 --> 00:41:40,680 +منينها؟ ليش؟ ليش الـ normal force هي؟ محطوطة على + +564 +00:41:40,680 --> 00:41:46,120 +سطح هي؟ ولا معلقة؟ الـ normal force due to a + +565 +00:41:46,120 --> 00:41:50,260 +surface، we don't have any surface here، طبعًا؟ الـ + +566 +00:41:50,260 --> 00:41:54,820 +T زي ما أنتم شايفينه، سيني ولا صادي؟ نحن لدينا 2 + +567 +00:41:54,820 --> 00:41:58,900 +جزئين وبالتالي بدي تحليل إيش القوة الجديدة اللي + +568 +00:41:58,900 --> 00:42:03,120 +أتت عليها؟ إيش اللي خلاه يبعد عن بعضنا؟ نحن لدينا + +569 +00:42:03,120 + +601 +00:44:44,240 --> 00:44:48,660 +بتلاتة يعني إما بتعملوا هدى و بتجيبوا هدى أو + +602 +00:44:48,660 --> 00:44:51,140 +بتكليوها تلاتين في عشر و نص بتلاتة لإن أنا بتحول + +603 +00:44:51,140 --> 00:44:54,740 +جرام لـ kilogram شباب تمام، الخطأ المطبعي هو 30 في + +604 +00:44:54,740 --> 00:45:01,220 +10 أس سالب 3 درب + +605 +00:45:01,220 --> 00:45:06,060 +G 9.8 في تان الـ 5 + +606 +00:45:08,570 --> 00:45:14,690 +بيطلع الـ 2.6 × 10⁻² لـ Newton هذي F E طيب F E كولوم + +607 +00:45:14,690 --> 00:45:20,390 +حكينا إنه تساوي K Q1 في Q2 على مربع المسافة اللي + +608 +00:45:20,390 --> 00:45:24,550 +بينهم ولا لأ؟ طبعا خلينا نرجع The magnitude of the + +609 +00:45:24,550 --> 00:45:27,490 +electric force F E is obtained from Coulomb's law as + +610 +00:45:27,490 --> 00:45:31,310 +هذه المسافة لزمتني الآن، إيه يا شباب؟ هل المسافة بين + +611 +00:45:31,310 --> 00:45:38,790 +الـ 2 charges هي الـ 0.15 متر لأ، ولا هي الـ 2A و أنا + +612 +00:45:38,790 --> 00:45:42,230 +2a جبتها، هي الـ a موجودة صحيح ولا لأ؟ إذا + +613 +00:45:42,230 --> 00:45:47,930 +المعناته F E بتساوي K Q في Q، صارت Q تربيع مظبوط + +614 +00:45:47,930 --> 00:45:51,530 +ولا لأ؟ على R تربيع طبعا زي ما حكيناه، 2 حمراء أو + +615 +00:45:51,530 --> 00:45:53,710 +2 زرق مفرّجش معايا، أنا ما أخدت absolute value في + +616 +00:45:53,710 --> 00:45:57,430 +الآخر تمام؟ وبالتالي خليت الـ absolute value موجودة + +617 +00:45:57,430 --> 00:46:07,790 +تمام، knowing that R هي 2a، و a is equal to 0.15 + +618 +00:46:07,790 --> 00:46:19,250 +Sin 5 وطلعت 0.013 وطبّق و we get Q إجازة تربيعي + +619 +00:46:19,250 --> 00:46:23,470 +هادي في هادي على هادي صح ولا لأ؟ طلعتها طلعت 4.4 + +620 +00:46:23,470 --> 00:46:28,010 +× 10⁻⁸ كلهم طبعا positive or negative ما بتعنّنيش أنا + +621 +00:46:28,010 --> 00:46:30,210 +ما جاي بالـ absolute value ممكن التنتين يكونوا + +622 +00:46:30,210 --> 00:46:34,650 +positive وممكن التنتين يكونوا negative طبعا شباب + +623 +00:46:34,650 --> 00:46:40,810 +في ISA، إذا إن أنا حليت تلت أمثلة مختلفة على الـ + +624 +00:46:40,810 --> 00:46:47,550 +forces الشغل الشائعة إنه يديك point charges ويطلب + +625 +00:46:47,550 --> 00:46:51,490 +منك حساب الـ force على واحدة منهم، هذا المثال الأول + +626 +00:46:51,490 --> 00:46:55,150 +وهو الشائعة، الشغل التاني ممكن يلعب بالأسئلة إنه + +627 +00:46:55,150 --> 00:46:59,360 +يقولك والله أنا في عندي شحنة، الـ net force عليها + +628 +00:46:59,360 --> 00:47:02,660 +معطاة، أو أي مقدار، ودي بلي مسافات، في النهاية + +629 +00:47:02,660 --> 00:47:06,060 +نفس المبدأ، أنا بجيب forces و بجمعهم و بجيبهم + +630 +00:47:06,060 --> 00:47:11,020 +قيمتهم، مجددش، الشغل التالتة إن هذه الـ force ينطبق + +631 +00:47:11,020 --> 00:47:15,230 +عليها قوانين نيوتن التلاتة، وبالتالي بدأت تتحرك + +632 +00:47:15,230 --> 00:47:20,270 +تسكن فيها اتزان، تتزن مع الشد، تتزن مع Mg كلها + +633 +00:47:20,270 --> 00:47:26,110 +بتنجمع مع all the kind of forces مع friction مع Mg + +634 +00:47:26,110 --> 00:47:29,870 +مع tension مع normal force أي إن كانت الـ force + +635 +00:47:29,870 --> 00:47:32,970 +موجودة، ما هي force وحدتها نيوتن، with a vector + +636 +00:47:32,970 --> 00:47:36,410 +quantity زيها زي أي force، واتعاملنا إن كيف ممكن + +637 +00:47:36,410 --> 00:47:40,890 +نتعامل معاها بنفس شغل physics a الـ mechanics و + +638 +00:47:40,890 --> 00:47:48,970 +اتعامل معاها بهذه الكيفية، تمام، عنواننا الجديد هيكون + +639 +00:47:48,970 --> 00:47:54,510 +المجال الكهربائي، electric field، electric field + +640 +00:47:54,510 --> 00:47:59,070 +كلمة field مرت علينا بمجال الجذب الأرضي، مجال + +641 +00:47:59,070 --> 00:48:04,450 +الجاذبية الأرضية، عشان نسمع فيها هيكون كل جسم بتأثر + +642 +00:48:04,450 --> 00:48:08,880 +في جاذبية الأرض، حتى لو ما كانش في مجالها، إذا لازم + +643 +00:48:08,880 --> 00:48:14,220 +يكون في مجالها صح ولا لأ؟ طيب حكينا توي إنه أنا في + +644 +00:48:14,220 --> 00:48:26,780 +عندي هنا Q1 وهنا Q2 حاجة، Q2 تتأثر بـ Q1 بقوة صح + +645 +00:48:26,780 --> 00:48:32,360 +ولا لا؟ حلو، الـ Q2 ابعدها شوية هتخف التأثير صح ولا + +646 +00:48:32,360 --> 00:48:35,200 +لا؟ ابعدها كمان شوية، ممكن بعض اللحظة يكون التأثير + +647 +00:48:35,200 --> 00:48:39,940 +يساوي 0 لما تبقى ∞، و يصير صفر، بقول الـ Q2 بطل يتأثر في + +648 +00:48:39,940 --> 00:48:46,620 +مجال الـ Q1 صح ولا لأ؟ إذا الـ Q2 هادي عشان تتأثر + +649 +00:48:46,620 --> 00:48:52,440 +بـ Q1 لابد إنّها تقع في مجالها صح ولا لأ؟ يعني كل + +650 +00:48:52,440 --> 00:48:57,870 +شحنة لها مجال، كل شحنة إلها مجال، هذا المجال ما هوش + +651 +00:48:57,870 --> 00:49:01,250 +مجال جاذب زي جاذبية أرضية، مجال كهربائي لإنه بدي + +652 +00:49:01,250 --> 00:49:05,150 +تتأثر بقوة، مش قوة جاذبة، قوة كهربية، إذا هذا المجال + +653 +00:49:05,150 --> 00:49:09,510 +بسميه مجال كهربائي، إذا الآن في عند كمية جيدة شباب + +654 +00:49:09,510 --> 00:49:13,310 +بدي نتعرف عليها هي المجال الكهربائي، or the + +655 +00:49:13,310 --> 00:49:15,730 +electric field، بنبدأ بالتالي + +656 +00:49:18,610 --> 00:49:23,030 +بيقول لي any charge has its own electric field + +657 +00:49:23,030 --> 00:49:27,950 +within a region surrounding that charge يعني أنا + +658 +00:49:27,950 --> 00:49:32,030 +كل شحنة إلها مجالها، المجال تبعها بيكون بعيد عنها ولا + +659 +00:49:32,030 --> 00:49:35,850 +حواليها؟ حواليها، يعني في المنطقة اللي هو فيها، شحنة + +660 +00:49:35,850 --> 00:49:38,470 +موجودة في غزة، مجالها مش هيكون في قانوني، في غزة، + +661 +00:49:38,470 --> 00:49:42,630 +حواليها صح ولا لأ؟ ثم هيتحدى مجالها اللي في غزة، + +662 +00:49:42,630 --> 00:49:45,870 +بدي يصل جباليا أو بدي يصل بس باب الجامعة، بعتمد + +663 +00:49:45,870 --> 00:49:49,390 +على شغلات كتيرة صح ولا لأ؟ كل ما كبرت الشحنة، كل + +664 +00:49:49,390 --> 00:49:52,770 +ما المجال تبعها بيكبر، هذا المنطق صح ولا لأ؟ إذا في + +665 +00:49:52,770 --> 00:49:57,350 +مجال، هجيت أي شحنة غريبة تجعل في المجال، بيأثر + +666 +00:49:57,350 --> 00:50:01,190 +بيها صح ولا لأ؟ كيف أنا بدي أعرف إن في الغرفة هذه + +667 +00:50:01,190 --> 00:50:04,270 +في مجال كهربائي ولا لأ؟ إيه هسوي؟ + +668 +00:50:07,140 --> 00:50:11,240 +بدي أجيب شحنة خارجية و أحطها في هالغرفة، اتحركت + +669 +00:50:11,240 --> 00:50:14,620 +بقولوا إيه؟ إيش الحركة؟ في مجال كهربائي صح ولا لأ؟ و + +670 +00:50:14,620 --> 00:50:17,060 +الله، وإيه ما حطيتها ضلت قاعدة وساكتة وعاجلة بقول + +671 +00:50:17,060 --> 00:50:20,380 +ما عرفت ما فيش حاجة أثرت عليها، ما فيش مجال كهربائي إذن + +672 +00:50:20,380 --> 00:50:23,440 +أنا بقدر أفحص إنه في مجال أو ما فيش مجال، إن أشوف + +673 +00:50:23,440 --> 00:50:27,400 +القوة، الشحنة الغريبة تتحرك أو ما تتحركش، يعني عليها + +674 +00:50:27,400 --> 00:50:31,600 +قوة كهربية، و أنا ما عليهاش قوة كهربية، إذن المجال + +675 +00:50:31,600 --> 00:50:36,740 +بعرفه بقوة إنه في قوة على شحنة غريبة ولا ما فيش قوة + +676 +00:50:36,910 --> 00:50:40,110 +هذا اللي بنتعامل معه، وإحنا عارفين دائما الشغل + +677 +00:50:40,110 --> 00:50:44,610 +الجديدة لازم تعرف بشغل أنا عارفها، وأنا الشغل + +678 +00:50:44,610 --> 00:50:47,190 +الوحيد حتى اللي أنا عارفها هي القوة الكهربية صح + +679 +00:50:47,190 --> 00:50:50,230 +ولا لأ؟ بالتالي لابد من تعريف المجال الكهربائي + +680 +00:50:50,230 --> 00:50:55,310 +بدلالة القوة الكهربية، تمام، أنا عارف هاي بتعريف + +681 +00:50:55,310 --> 00:51:00,270 +بيقول لي the electric field رمزه E شباب، الـ force إيش + +682 +00:51:00,270 --> 00:51:05,070 +رمزها؟ الكمية الجديدة رمزها E طبعا ما زالت دوها رمز + +683 +00:51:05,070 --> 00:51:09,010 +مختلف، إذا إن هي كمية مختلفة، ماهيّش force، the + +684 +00:51:09,010 --> 00:51:13,290 +electric field E، و E is a bold عشان يديني دلالة + +685 +00:51:13,290 --> 00:51:16,010 +إن هذه الكمية الفيزيائية الجديدة vector ولا scalar + +686 +00:51:16,010 --> 00:51:23,770 +الـ bold لمن نعطيه للـ vector الرمز معناته + +687 +00:51:23,770 --> 00:51:28,090 +الكمية اللي رمزها bold معناته vector، بدل ما نكتب + +688 +00:51:28,090 --> 00:51:32,830 +في الكتابة بنكتب E و بنحط هيك صح ولا لا؟ هذه vector + +689 +00:51:32,830 --> 00:51:36,530 +واتفقنا في الكتب بطّلوا يحطوا هذه الشغلة، اعتمدوا الـ + +690 +00:51:36,530 --> 00:51:43,620 +bold، The vector field E at a point، عند نقطة ما، + +691 +00:51:43,620 --> 00:51:46,140 +طبعا إحنا ما حكينا إنه في عندي، أنا هنا شحنة، + +692 +00:51:46,140 --> 00:51:48,860 +ما نعتها، هنا في مجال، وهنا في مجال، وهنا في مجال، + +693 +00:51:48,860 --> 00:51:52,240 +وهنا في مجال صح ولا لأ؟ طبعا بختلف شدة المجال من + +694 +00:51:52,240 --> 00:51:55,160 +نقطة لنقطة، كل ما ابعدت كل ما المجال قلّ، كل ما + +695 +00:51:55,160 --> 00:51:58,440 +قربت كل ما المجال زاد، إذا أنا بقيس المجال عند + +696 +00:51:58,440 --> 00:52:02,070 +نقطة ما، حاجات، أنا هنا في مجال ولا ما فيش مجال؟ إيش + +697 +00:52:02,070 --> 00:52:05,850 +بنسوي؟ بنجيب شحنة و نحطها هنا صح ولا لأ؟ اتحركت، + +698 +00:52:05,850 --> 00:52:08,910 +بقول في مجال، ما اتحركتش، بقول ما فيش مجال، مشكلة + +699 +00:52:08,910 --> 00:52:12,430 +اتفقنا؟ إذا كيف بدي أعرف؟ بيقول الـ electric field + +700 +00:52:12,430 --> 00:52:16,770 +E at a point in space في الفرق is a vector + +701 +00:52:16,770 --> 00:52:20,160 +quantity إذا الكمية اللي بتعرف عليها is a vector + +702 +00:52:20,160 --> 00:52:25,320 +quantity defined as تعرف علي إنها the electric + +703 +00:52:25,320 --> 00:52:31,300 +force القوة الكهربية التي تؤثر acting on a + +704 +00:52:31,300 --> 00:52:36,120 +positive small tested charge q0 قالوا هذه الـ + +705 +00:52:36,120 --> 00:52:38,780 +charge اللي بتعمل عليها test عشان أنا بدي أعرف + +706 +00:52:38,780 --> 00:52:42,320 +تعريف common كل الناس تكون متفقة عليه، قالوا يا + +707 +00:52:42,320 --> 00:52:45,700 +علماء نتفق الـ test is charge خليه positive، بديش + +708 +00:52:45,700 --> 00:52:48,560 +حد يقول لي بدي أجيب لي شحنة سالبة اعمل test عليها، مش + +709 +00:52:48,560 --> 00:52:52,880 +هنتفقنا عشان أنا اعمل test إنه if we have an + +710 +00:52:52,880 --> 00:52:56,440 +electric field or not we have to test on a tested + +711 +00:52:56,440 --> 00:52:59,200 +charge بدي أجيب شحنة، طبعا الشحنة ممكن تكون + +712 +00:52:59,200 --> 00:53:01,440 +positive وممكن تكون negative عشان يصير common + +713 +00:53:01,440 --> 00:53:05,830 +وتوحيد بالمفهوم قالوا اتفقوا على إن الـ test شحنة + +714 +00:53:05,830 --> 00:53:10,350 +بيكون positive، اتفاق مش أكثر، إذا بدي أجيب force + +715 +00:53:10,350 --> 00:53:16,360 +بدي أجيب شحنة charge positive و small سمّوها test + +716 +00:53:16,360 --> 00:53:20,880 +charge شحنة إنه اختبار الـ Q not ادوها رمز، a place + +717 +00:53:20,880 --> 00:53:23,780 +at that point، بعدين بيقول لي، بعد ما إنت شفت حاطيتها + +718 +00:53:23,780 --> 00:53:27,680 +ولاجيتها اتحركت إيش قلت؟ في مجال، بعد كده الشحنة + +719 +00:53:27,680 --> 00:53:32,000 +بدك اياها بتكاشي اياها الشحنة خلاص قدت المهمة إنه + +720 +00:53:32,000 --> 00:53:34,880 +عرفت إنه في مجال، بعد كده قداشي المجال، شغل تانية + +721 +00:53:34,880 --> 00:53:39,940 +بعد كده بيقول لي، جسم على هذه الشحنة، عشان اطير divided + +722 +00:53:39,940 --> 00:53:43,260 +by the magnitude of the thesis charge، يعني هذا + +723 +00:53:43,260 --> 00:53:48,220 +الكلام ترجمته بيقول E بيساوي force على Q naught + +724 +00:53:52,460 --> 00:54:00,240 +E بتساوي F على Q0، إذا E تعرف علي إنها القوة التي + +725 +00:54:00,240 --> 00:54:04,140 +تؤثر على test charge positive وبعدين جسم على test + +726 +00:54:04,140 --> 00:54:06,600 +charge، طب على test charge في النهاية بتبين في + +727 +00:54:06,600 --> 00:54:11,760 +الحل؟ لأ ما بتجسم عليها في الآخر بتبينش تمام، من هنا + +728 +00:54:11,760 --> 00:54:20,080 +شباب بقدر أقول قداش واحدة E، إيش واحدة E؟ يعني نيوتن + +729 +00:54:20,920 --> 00:54:25,180 +أكله خلاص، وطبعا رابحة إنّها vector quantity لإنه + +730 +00:54:25,180 --> 00:54:27,940 +أنا عرفتها الـ vector quantity اللي هي الـ force و + +731 +00:54:27,940 --> 00:54:30,340 +over scalar، over scalar في vector is a vector + +732 +00:54:30,340 --> 00:54:33,020 +صحيح ولا لأ؟ إذا إن هي vector quantity زي ما إنت + +733 +00:54:33,020 --> 00:54:36,320 +حكينا، وهي إيه؟ طبعا a q not positive معناته أي + +734 +00:54:36,320 --> 00:54:39,580 +وقت في نفس الاتجاه، صحيح ولا لأ؟ كاتجاه، + +735 +00:54:39,580 --> 00:54:43,500 +تمام، طبعا هو بيقول لي اللي تقلت الـ tested + +736 +00:54:43,500 --> 00:54:47,300 +charge must be positive أمن عشان نتفق، طب ليش جالي + +737 +00:54:47,300 --> 00:54:50,700 +لازم تكون small؟ جالي عشان تكون small لإنه إنت بدك + +738 +00:54:50,700 --> 00:54:53,920 +المجال في الغرفة، والمجال جاي مش منها هذه الشحنة + +739 +00:54:53,920 --> 00:54:56,660 +جاي من شحنات غيرها، لما تحطها بديش يأثر على اللي + +740 +00:54:56,660 --> 00:55:00,400 +حواليها، عشان كده اعتبرها صغيرة عشان لما أقول حطيتها + +741 +00:55:00,400 --> 00:55:05,800 +هنا، اللي حواليها ما يتأثرش، تمام؟ إذا بيقول لي the + +742 +00:55:05,800 --> 00:55:08,860 +tested charge should be small enough + +743 +00:55:11,560 --> 00:55:19,300 +لتأكد أن وجودها لا يؤثر على الشحنات التي تنتج E + +744 +00:55:19,300 --> 00:55:23,060 +عشان ما تؤثرش على الشحنات اللي أنتجت E أصلاً هي + +745 +00:55:23,060 --> 00:55:26,080 +هاتي تكست شجرة خطوطها صغيرة، بس بديها تشوف اتحركت + +746 +00:55:26,080 --> 00:55:29,720 +أو ما اتحركتش و بس مجدش مقدارها، مجدش يكون كبير ولا + +747 +00:55:29,720 --> 00:55:32,960 +بيأثر لي على كل المنطقة اللي أنا قاعد معنى فيها و + +748 +00:55:32,960 --> 00:55:39,100 +أجيب مجالها، تم أنا فهمنا + +749 +00:55:41,290 --> 00:55:44,830 +إنه عشان أعرف إنه في مجال كهربائي شباب، بدي أجيب + +750 +00:55:44,830 --> 00:55:48,710 +شحنة، الشحنة اتأثرت بقوة إذا في مجال ولا ما فيش + +751 +00:55:48,710 --> 00:55:53,930 +مجال؟ في مجال، طيب حكيت لو واحد حكالي إنه أنا حطيت + +752 +00:55:53,930 --> 00:55:58,390 +شحنة واتحركت، كيف بدي أجيب القوة اللي عليها؟ هي + +753 +00:55:58,390 --> 00:56:00,790 +اتحركت إذا عليها قوة ولا ما شاء الله ليها قوة؟ كيف + +754 +00:56:00,790 --> 00:56:04,150 +أجيب القوة؟ قال ليش بدي أجيب القوة؟ هي القانون F + +755 +00:56:04,150 --> 00:56:08,920 +إيش بيساوي؟ EQ صح ولا لا؟ إذن خلاص بدل ما أنا أغلب + +756 +00:56:08,920 --> 00:56:13,120 +حالي وهذه بجيبها يعني بمعنى آخر، لو المثال السابق + +757 +00:56:13,120 --> 00:56:16,700 +هذا عشان + +758 +00:56:16,700 --> 00:56:23,900 +حاطينا Q أظن 2 و Q3 و Q1 وقلنا هنا في قوة جاي من + +759 +00:56:23,900 --> 00:56:27,200 +هناك 2 كيف ممكن أن أحسبها؟ فأقول هذه Q3 موجودة + +760 +00:56:27,200 --> 00:56:31,810 +عندك طالع، مش موجودة فيها مجال بقولوا اه فيها مجال + +761 +00:56:31,810 --> 00:56:35,910 +هذا مجال جاي من هنا وجاي من هنا، لو حسبت E عند + +762 +00:56:35,910 --> 00:56:41,490 +النقطة هذه وضربت في Q تلاتة تطلع القوة، خلاص هي + +763 +00:56:41,490 --> 00:56:45,050 +نفس القضية، تمام، طبعا حدّناها نعرفها بس كده إيش + +764 +00:56:45,050 --> 00:56:49,400 +بيقول ليه Since Q0 is always positive, the + +765 +00:56:49,400 --> 00:56:51,040 +direction of E is the direction of F + +766 +00:57:08,130 --> 00:57:23,090 +أي شحنة محطوطة في نقطة، والنقطة هذه لها مجال، يعني + +767 +00:57:23,090 --> 00:57:28,150 +لو جيبت E هنا شباب وقال لي أوجد F على Q ثلاثة، بقول له + +768 +00:57:28, + +801 +00:59:56,570 --> 00:59:59,290 +تانية بيعتمد على شروط كتيرة بيعتمد على شحنة Q + +802 +00:59:59,290 --> 01:00:03,050 +كبيرة ولا صغيرة وبيعتمد على R المسافة ما بينهم صح + +803 +01:00:03,050 --> 01:00:07,100 +ولا لا فهو بيقول المسافة دي R كيف بدي أحسبها؟ قال لي + +804 +01:00:07,100 --> 01:00:11,220 +التعريف إيش بيقول؟ بيقول لي جيب test charge صح ولا + +805 +01:00:11,220 --> 01:00:16,620 +لأ؟ حطها عند النقطة B الـ test charge هادي بيكون + +806 +01:00:16,620 --> 01:00:19,700 +positive حسب الاتفاق اللي بينعاني وتكون small صحيح + +807 +01:00:19,700 --> 01:00:25,750 +ولا لأ؟ تمام بيقول لي to do so we assume the + +808 +01:00:25,750 --> 01:00:31,330 +existence بدنا نفترض وجود at this charge q0 at + +809 +01:00:31,330 --> 01:00:32,250 +point B + +810 +01:00:35,850 --> 01:00:38,210 +وإذا عملت فتنة تكون positive ولا لا؟ positive + +811 +01:00:38,210 --> 01:00:41,530 +يعني إيش؟ بتكون حمرا ولا لا؟ ها .. هاي الشحنة + +812 +01:00:41,530 --> 01:00:44,510 +تبعيتك صلات حمرا، هاي الشحنة الصلاة دلوقتي أنا + +813 +01:00:44,510 --> 01:00:48,170 +افترضت افتراض صحيح ولا لا تتشاجر وقلت ليش مقدارها + +814 +01:00:48,170 --> 01:00:51,710 +Q naught تمام؟ بعد كده إيش حكالي؟ قال لي أوجد الفرص + +815 +01:00:51,710 --> 01:00:57,560 +عليها أوجد الفرص عليها الـQ0 بتتأثر بـQ ولا بتتأثراش + +816 +01:00:57,560 --> 01:01:02,500 +بقوة قانون كولوم بقدر أجيب القوة اللي على Q0 ولا لأ + +817 +01:01:02,500 --> 01:01:05,940 +اه اتعلمت أول حاجة أعملها أجيب الـ direction تبع الـ + +818 +01:01:05,940 --> 01:01:10,640 +force Q حمرا و Q0 حمرا القوة بينهم تنفرية و + +819 +01:01:10,640 --> 01:01:15,860 +التجذبية تنفرية يعني أعملها هي القوة صح ولا لأ أجيب + +820 +01:01:15,860 --> 01:01:18,600 +الـ magnitude تبعها قال لي جيب الـ magnitude وبعدين + +821 +01:01:18,600 --> 01:01:23,340 +تجسمها كيو نوت هاي التعريف شباب تمام بيقول لي الآن + +822 +01:01:23,340 --> 01:01:27,620 +from Coulomb's law قانون كولوم اللي بتعرفوه the + +823 +01:01:27,620 --> 01:01:32,060 +force upon the tested charge q naught الـ force + +824 +01:01:32,060 --> 01:01:35,840 +اللي بتأثر على q naught بدي أجيب شباب يلا نجيبها + +825 +01:01:35,840 --> 01:01:42,000 +طبعا كـ vector بتساوي K Q واحد في Q اتنين على مربع + +826 +01:01:42,000 --> 01:01:45,670 +المسافة بينهم وفي R unit vector كـ vector صح ولا + +827 +01:01:45,670 --> 01:01:49,370 +لأ؟ قلت الشحنة الأولى مقدارها Q الشحنة التانية + +828 +01:01:49,370 --> 01:01:52,430 +اللي أنا افترضتها مقدارها Q0 على مربع المسافة اللي + +829 +01:01:52,430 --> 01:01:56,290 +بينهم اللي هي R وفي R unit vector اللي هي باتجاه + +830 +01:01:56,290 --> 01:02:00,070 +الـ unit vector طبعا الـ R unit vector هنا اتجاهه + +831 +01:02:00,070 --> 01:02:05,830 +كيف في الرسمة مش بيروح من Q لـ Q0 من Q لـ Q0 أو من Q + +832 +01:02:05,830 --> 01:02:10,620 +لنقطة لأن Q0 النهاية محطوط على النقطة طبعا إذا R + +833 +01:02:10,620 --> 01:02:13,620 +unit vector هو اتجاه هذا طبعا عشان مافيش واحد + +834 +01:02:13,620 --> 01:02:16,360 +اتنين احنا متعودين نحط ايا Q واحد و Q اتنين شوف + +835 +01:02:16,360 --> 01:02:18,700 +أنا مظبوط ولا لأ أنا الآن مافيش عندي واحد و اتنين + +836 +01:02:18,700 --> 01:02:24,000 +عندي Q و Q not فـ R هي ما بين Q و Q not طبعا طلعت هي + +837 +01:02:24,000 --> 01:02:27,760 +بيقول لي هجيجيش هجبت الـ force في الآخر عشان يجيب + +838 +01:02:27,760 --> 01:02:32,280 +المجال إيش بتساوي؟ إنك تجسم على Q not مش بيقولي + +839 +01:02:32,280 --> 01:02:36,580 +إيه بتساوي F على Q not طب هي F جاهزة اجسم على Q not + +840 +01:02:36,580 --> 01:02:37,880 +هي جاهزة + +841 +01:02:40,710 --> 01:02:47,530 +هذا قانوننا الجديد هذا بيجيب لي شدة المجال لأي شحنة + +842 +01:02:47,530 --> 01:02:51,550 +عند نقطة ما والنقطة بتبعد عن الشحنة مسافة R + +843 +01:02:51,550 --> 01:02:55,670 +معروفة صح ولا لأ؟ سبب حاجة هو إيش حكالي من الأول يقول + +844 +01:02:55,670 --> 01:02:59,870 +every charge has its own electric field every + +845 +01:02:59,870 --> 01:03:05,580 +charge والـ charge مثلا بـ Q صح ولا لأ؟ يعني point و + +846 +01:03:05,580 --> 01:03:09,520 +الـ point متمثلها R لأن الـ point تبعد عن الشحنة بـ R + +847 +01:03:09,520 --> 01:03:15,180 +again كل ما بعدت إيش بيصير فيه؟ بتقل منطق ولا مش + +848 +01:03:15,180 --> 01:03:20,920 +منطق؟ منطق لأن R بتزيد معناته E بتقل وكل ما زادت + +849 +01:03:20,920 --> 01:03:24,520 +Q الشحنة بيزيد .. المجال بيزيد ولا بيزيدش برضه + +850 +01:03:24,520 --> 01:03:28,540 +منطق الصيغة طبعا القانون بتشبه قانون كولوم ولا لأ؟ + +851 +01:03:28,540 --> 01:03:33,290 +إذن سهل أحفظهم قانون كولوم كان يحسب الـ force between + +852 +01:03:33,290 --> 01:03:36,630 +two charges صح ولا لا؟ المجال بده two charges ولا + +853 +01:03:36,630 --> 01:03:41,110 +كل واحدة لحالها إيه؟ بيزمني بس شحنة شحنة واحدة هيها + +854 +01:03:41,110 --> 01:03:44,910 +مش غيرها لأن كل شحنة إلها مجال مافيش داعي أقول q1 + +855 +01:03:44,910 --> 01:03:49,810 +و q2 صح ولا لا يا شباب؟ هيها E بتساوي KQ على R + +856 +01:03:49,810 --> 01:03:53,030 +تربيع و R unit vector والـ unit vector زي ما اتفقنا + +857 +01:03:53,030 --> 01:03:56,810 +where the unit vector directed from Q to the point + +858 +01:03:57,190 --> 01:04:00,010 +كانت الـ point حطيتها Q0 والـ Q0 في الآخر أنا فرضها + +859 +01:04:00,010 --> 01:04:03,910 +برضه المعطى عندي هي النقطة B هي العصر وبالتالي بدأ + +860 +01:04:03,910 --> 01:04:11,090 +أنسب إلها فبالتالي R من Q لنقطة B هاي قانون بدأ + +861 +01:04:11,090 --> 01:04:14,890 +أحط زي قانون جديدة طبعا تدبش بيه قانون كولوم هذا Q1 + +862 +01:04:14,890 --> 01:04:19,250 +و Q2 على R تربيع هذا Q بس مش غير شحنة لأن المجال + +863 +01:04:19,250 --> 01:04:24,010 +يتولد من شحنة بس شحنة واحدة لحالها كافية تولد لي + +864 +01:04:24,010 --> 01:04:25,250 +مجال حلو + +865 +01:04:28,360 --> 01:04:33,700 +نرجع لها وهذه النقطة بيه وحسبناها إيه وهذه إيه عند + +866 +01:04:33,700 --> 01:04:37,600 +النقطة بيه صار هذا المجال واضح شباب طبعا ولما + +867 +01:04:37,600 --> 01:04:43,440 +اتفقنا المجال بيكون بهذا الشكل اتجاهه حلو It is + +868 +01:04:43,440 --> 01:04:46,840 +clear that if the charge Q is negative، احنا قولنا + +869 +01:04:46,840 --> 01:04:51,180 +Q نقطة تفق عليها تكون positive، صح؟ لكن الـQ، هذه + +870 +01:04:51,180 --> 01:04:56,240 +حرق فيها أنا، مش ممكن تكون سالبة؟ ممكن، طب لو كانت + +871 +01:04:56,240 --> 01:04:58,740 +سلبية، إيش بده يصير معايا؟ الـQ نقطة positive + +872 +01:04:58,740 --> 01:05:02,920 +دايما، الـQ سالبة، القوة بتكون تنفرية ولا + +873 +01:05:02,920 --> 01:05:05,760 +تجاذبية؟ تجاذبية، تجاذبية، إذا القوة بدت تنعكس + +874 +01:05:05,760 --> 01:05:09,080 +ولا بدت تنعكس؟ الاتجاه بتتناقص بيقول it is clear + +875 +01:05:09,080 --> 01:05:13,100 +that if that charge Q is negative the direction of + +876 +01:05:13,100 --> 01:05:16,620 +E will be reversed صح ولا لا؟ هذه شغلة منطقية هي + +877 +01:05:16,620 --> 01:05:23,560 +صارت درجة بتبقى هيك E؟ لأ E هتصير هيك إذا صارت E + +878 +01:05:23,560 --> 01:05:30,160 +اتجاه بيعتمد على مين؟ على الـQ المسبب إليها، هي E + +879 +01:05:30,160 --> 01:05:33,720 +من أين جاءت؟ ليس من الـQ، إذن الـQ هي صاحبة + +880 +01:05:33,720 --> 01:05:38,680 +الصراحية والحق الحصري إنها تحدد اتجاه E ولا لا، + +881 +01:05:38,680 --> 01:05:43,300 +طبعا من مجالها هي بتحدد مقداره وبتحدد اتجاهه + +882 +01:05:43,580 --> 01:05:48,040 +اتجاهه بتحدد تبع نوع الشحنة والمقدار بتحدد تبع + +883 +01:05:48,040 --> 01:05:51,660 +مقدار الشحنة وبعد النقطة صح ولا لأ؟ إذا المقدار + +884 +01:05:51,660 --> 01:05:55,760 +بيلعب فيه شغلتين المجنتود تبع الشحنة وبعد النقطة + +885 +01:05:55,760 --> 01:06:00,340 +عنها أما الـ direction بس نوعها positive طالعة منها + +886 +01:06:00,340 --> 01:06:06,060 +negative داخلة عليها صح ولا لأ؟ هذا هي تمام واضحة + +887 +01:06:06,060 --> 01:06:11,050 +الأمور بيقول لي إيش معناه if q is positive + +888 +01:06:11,050 --> 01:06:15,290 +الأولانية لما كانت حمرا the direction of e is + +889 +01:06:15,290 --> 01:06:19,390 +outward from that charge طالعة من الشحنة رايحة عن + +890 +01:06:19,390 --> 01:06:24,510 +النقطة صح ولا لأ is outward from that charge و if + +891 +01:06:24,510 --> 01:06:27,730 +q is negative اللي هي المرسومة عندكم الآن the + +892 +01:06:27,730 --> 01:06:32,490 +direction of e is inward toward that charge رايحة + +893 +01:06:32,490 --> 01:06:39,530 +من النقطة ع الشحنة سهلة سهلة إذا أنا لما كنت أحل + +894 +01:06:39,530 --> 01:06:42,510 +forces أول حاجة كنت أعملها أحدد الـ direction of + +895 +01:06:42,510 --> 01:06:45,430 +the forces وكنت أحددها تبعا للـ attractive والـ + +896 +01:06:45,430 --> 01:06:49,010 +repulsive ليش؟ لأنه أنا بتعامل مع vectors وكان + +897 +01:06:49,010 --> 01:06:52,310 +بالذنب الـ directions طب المجال القهوة بقى سكالر؟ + +898 +01:06:53,310 --> 01:06:56,610 +ولا vector برضه؟ برضه vector إذا بلزمني الـ + +899 +01:06:56,610 --> 01:06:59,810 +direction ولا بلزمنيش؟ برضه بلزمني إذا برضه ع + +900 +01:06:59,810 --> 01:07:03,450 +الرسمة بدي أحدد الـ direction كيف بيقول لي هدول الـ two + +901 +01:07:03,450 --> 01:07:06,930 +remarks بيساعدوني كيف أحدد الـ direction هو في + +902 +01:07:06,930 --> 01:07:10,230 +الآخر بده المجال بس من شحنة مش شحنتين يعطيك إياها و + +903 +01:07:10,230 --> 01:07:14,830 +لا مش نعطيك إياها يعطيك إياها لمقدارا ونوعا إذا + +904 +01:07:14,830 --> 01:07:19,310 +كانت الشحنة موجبة بيقول المجال بيخلع منها إذا الشحنة + +905 +01:07:19,310 --> 01:07:22,790 +سالبة بيقول المجال راجع عليها إذا هدول الملاحظتين + +906 +01:07:22,790 --> 01:07:27,670 +هم اللي بدهم يساعدوني أحدد اتجاه المجال الكهربائي + +907 +01:07:27,670 --> 01:07:32,350 +شباب واضح؟ وهيكون الحل بيشبه الحل تبع كولوم + +908 +01:07:32,350 --> 01:07:35,550 +law بس هنا بتعامل مع قوة هنا بتعامل مع electric + +909 +01:07:35,550 --> 01:07:38,710 +fields مش أكثر في الآخر هنا vectors هنا vectors + +910 +01:07:38,710 --> 01:07:42,930 +بدي أكتبهم كـ vectors بدلالة I و J وهنا نفس القضية + +911 +01:07:43,670 --> 01:07:47,170 +هناك كنت أتعامل مع الـ direction على أساس + +912 +01:07:47,170 --> 01:07:50,990 +attractive or repulsive هنا بنتعامل مش عندي شحنة + +913 +01:07:50,990 --> 01:07:55,430 +وحيدة it is inward or outward outward if q is + +914 +01:07:55,430 --> 01:08:00,930 +positive and inward if q is negative واضح شباب؟ في + +915 +01:08:00,930 --> 01:08:06,470 +أي استفسار لحد هذه اللحظة؟ كل شحنة إلها مجالها طيب + +916 +01:08:06,470 --> 01:08:11,190 +هذه q تلاتة مش موجودة وأنا هنا وهذه نقطة + +917 +01:08:13,810 --> 01:08:18,250 +هذه النقطة جامعة كم شحنة؟ شحنتين المجال اللي عند + +918 +01:08:18,250 --> 01:08:22,510 +النقطة بس جاي ملكي واحد ولا من واحد واثنين؟ إذا كل + +919 +01:08:22,510 --> 01:08:25,830 +شحنة إلها نصيب ولا لا؟ كيف بدي أحسبه؟ بيقول لك لواحد + +920 +01:08:25,830 --> 01:08:29,790 +إنّه نصيب بحسب اتجاهه وبحسب مقداره ولا لا؟ إذا هي + +921 +01:08:29,790 --> 01:08:35,070 +.. بقدر بالعربي وبالبلدي أقول إن الـ E at point P + +922 +01:08:35,070 --> 01:08:41,100 +is the sum of E1 and E2 but the vector sum إذا أنا + +923 +01:08:41,100 --> 01:08:45,740 +بدي أجمع إذا بدي أجمع E1 و E2 وأجمعهم كـ vectors + +924 +01:08:45,740 --> 01:08:48,300 +بيطلع عندي المجال ساعتها كل واحد بياخد نصيبه + +925 +01:08:48,300 --> 01:08:53,940 +بالعادل صحيح ولا لا؟ تمام شوف اشكلت مين هنا the + +926 +01:08:53,940 --> 01:08:56,300 +electric field at a point due to a group of + +927 +01:08:56,300 --> 01:08:58,860 +pointed charges مافيش عندي شحنة واحدة لأ في عندي + +928 +01:08:58,860 --> 01:09:03,970 +شحنات كتيرة group إن شاء الله مليون E is the vector + +929 +01:09:03,970 --> 01:09:08,970 +sum الجمع الاتجاهي of the electric fields at that + +930 +01:09:08,970 --> 01:09:13,870 +point due to each charge individually يعني بجيب E + +931 +01:09:13,870 --> 01:09:18,630 +للأولى E للتانية E للتالتة وهكذا كل واحدة لحالها + +932 +01:09:18,630 --> 01:09:21,550 +على حدة وبعد كده بجمعهم جمعتهم اتجاهي + +933 +01:09:21,550 --> 01:09:27,190 +individually IE E if we have N charges عندي N + +934 +01:09:27,190 --> 01:09:30,130 +charges والـ N هذه ممكن تكون عشرة ممكن تكون مليون + +935 +01:09:30,130 --> 01:09:38,720 +تمام؟ المجال الكهربائي E هو E1 جبتها E2 جبتها E3 + +936 +01:09:38,720 --> 01:09:42,880 +جبتها ضلتني أمشي أمشي لما خلصت لها N الـ N زي ما + +937 +01:09:42,880 --> 01:09:46,500 +اتفقنا مليون ولا مية ولا عشرة ولا تلاتة ولا اتنين + +938 +01:09:46,500 --> 01:09:49,940 +مفرقش معاها بضلني أجمع لما أعصلها إذا أنا لما يكون + +939 +01:09:49,940 --> 01:09:53,160 +في عندي أكثر من شحنة بده شدة المجال عند نقطة مطلوب + +940 +01:09:53,160 --> 01:09:58,780 +مني أجيب E1 due to Q1 E2 due to Q2 E3 due to Q3 وهكذا لما أخلص وبعدين أجمع جميع الـ vectors و جمع + +941 +01:09:58,780 --> 01:10:02,280 +الـ vectors عملية سهلة E1 E2 and EN are the electric + +942 +01:10:02,280 --> 01:10:07,940 +fields due to the charges Q1 Q2 and QN + +943 +01:10:07,940 --> 01:10:12,120 +respectively طبعا + +944 +01:10:12,120 --> 01:10:16,260 +احنا لما جبنا القانون قلنا إيه + +945 +01:10:16,260 --> 01:10:18,580 +بتساوي KQ على R تربيع وحطينا هنا R unit vector صح + +946 +01:10:21,830 --> 01:10:25,490 +ولا لأ؟ جيري طب لو بدك تجيب الـ magnitude مازال + +947 +01:10:25,490 --> 01:10:28,670 +هادي بدي أجيب الـ magnitude بدك تطير هادي لأن هادي + +948 +01:10:28,670 --> 01:10:32,570 +بتضيع الـ scale لأن ماعندكش في vector عشان أطير هادي + +949 +01:10:32,570 --> 01:10:35,310 +بدي أحط هنا absolute value مظبوط ولا لا؟ ليش؟ أنا + +950 +01:10:35,310 --> 01:10:39,560 +بقول لك الـ direction اللي جبته على رأسنا، إيش لك + +951 +01:10:39,560 --> 01:10:41,540 +فيه كمان مرة؟ خلاص، بيكفي، إيش ضايل عليك؟ الـ + +952 +01:10:41,540 --> 01:10:43,640 +magnitude صح ولا لا؟ إذا أنت الـ direction حددته، و + +953 +01:10:43,640 --> 01:10:47,020 +الـ vector شغلتين، الـ direction والـ magnitude، الـ + +954 +01:10:47,020 --> 01:10:49,600 +direction اتحددت بالملاحظين اللي حكيناها، لأ + +955 +01:10:49,600 --> 01:10:52,260 +outward for positive charges أو inward for + +956 +01:10:52,260 --> 01:10:55,200 +negative charges، حددتها، إيش بضل عليك؟ جيب الـ + +957 +01:10:57,800 --> 01:11:00,140 +magnitude، الـ magnitude يعني مافيش داعي ليه + +958 +01:11:00,140 --> 01:11:03,240 +vector ولا unit vector ولا حاجة، هيك، استخدم هذا + +959 +01:11:03,240 --> 01:11:06,170 +القانون طبعا زي ما حكينا بالـ Coulomb's Law لما + +960 +01:11:06,170 --> 01:11:08,750 +يكون أنا بتعامل مع مجموعة الـ charge must be + +961 +01:11:08,750 --> 01:11:13,570 +absolute value صح ولا لأ؟ لأنه خلاص مهمة الـ sine + +962 +01:11:13,570 --> 01:11:16,750 +إن عملت بتحديد الاتجاه خلاص ما لها دعوة فيها + +963 +01:11:16,750 --> 01:11:21,250 +حددت اتجاه وخلصت فبتصير K absolute value لـ Q على + +964 +01:11:21,250 --> 01:11:26,270 +R تربيع مافيش أي مشكلة في هذه القضية زيها .. زي + +965 +01:11:26,270 --> 01:11:31,830 +هذه في أي صف صار شباب؟ احكي؟ حكي معايا، اسأل كلمة + +966 +01:11:31,830 --> 01:11:36,460 +بدك اهو بس إنه مصطلح الـ characteristics .. the magnitude of + +967 +01:11:36,460 --> 01:11:41,860 +.. اه ده خطأ مضحك .. اه ده الـ magnitude of الـ الـ + +968 +01:11:41,860 --> 01:11:46,180 +الـ characteristics فانا مصحح .. لأنه هيجينا الـ magnitude بس + +969 +01:11:46,180 --> 01:11:48,180 +لسه .. ده اللي هو ست سبعة شباب يعني .. احكي .. + +970 +01:11:48,180 --> 01:11:52,920 +هيجينا الـ magnitude كل الـ .. كل المشكلات حواليها + +971 +0 \ No newline at end of file diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..1bfccb20c0942202fd73986d8aa35a8a3fb13df6 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw_raw.srt @@ -0,0 +1,3960 @@ +1 +00:00:09,820 --> 00:00:14,440 +بسلامة بسم الله الرحمن الرحيم نستكمل المحاضرة + +2 +00:00:14,440 --> 00:00:20,980 +الماضية اللى حكينا عنها عن ال electric charge + +3 +00:00:20,980 --> 00:00:26,400 +بعدين وقفنا عن Coulomb's lawبسرعة بدي اعيد columns + +4 +00:00:26,400 --> 00:00:31,940 +law عشان بعد هيك بدنا نبدأ نطبق عليه امثلة احنا + +5 +00:00:31,940 --> 00:00:35,520 +اتفقنا في البداية ان في we have two kind of + +6 +00:00:35,520 --> 00:00:38,840 +charges positive charge and negative charge + +7 +00:00:50,710 --> 00:00:57,750 +الشحنات المختلفة تتجذب والشحنات المتشابهة تتنافر + +8 +00:01:05,690 --> 00:01:10,930 +هذا هو الثاني مفهوم.الثالث مفهوم هو أن المشكلة + +9 +00:01:10,930 --> 00:01:17,190 +مكممة.مكممة يعني أن أي شحنة موجودة في الطبيعة هي + +10 +00:01:17,190 --> 00:01:23,960 +مضاعفات شحنة الإلكترون.بعد حكينا عنان المواد قسمت + +11 +00:01:23,960 --> 00:01:28,100 +الى conductors وinsulators وفيه طبعا ال + +12 +00:01:28,100 --> 00:01:32,800 +semiconductors مالناجعة فيها قوة الجذب وقوة + +13 +00:01:32,800 --> 00:01:38,060 +التنافر هي قوة اذا لابد من وجود قانون يمكنني ان + +14 +00:01:38,060 --> 00:01:45,200 +احسب هذه القوة كل يوم هو لأوجه هذا القانون كولومز + +15 +00:01:45,200 --> 00:01:50,860 +لو اعطاني عدةملاحظات طبعا هذه الملاحظات احنا + +16 +00:01:50,860 --> 00:01:54,520 +قدناها وحكيناها قبل كده بس عيدها بسرعة بيقول لي + +17 +00:01:54,520 --> 00:01:57,240 +the force is directly proportional to the + +18 +00:01:57,240 --> 00:02:00,160 +magnitude of the charges of each particle يعني + +19 +00:02:00,160 --> 00:02:04,480 +القوة تتناسب تناسب انترضيا مع مقدار الشحنتين اللي + +20 +00:02:04,480 --> 00:02:15,250 +بيهم القوةالملاحظة التالية القوة تتناسب + +21 +00:02:15,250 --> 00:02:19,650 +تناسبا عكسيا مع مربع المسافر اللي بينهم الشغل اللي + +22 +00:02:19,650 --> 00:02:22,930 +يتركه في اتجاه القوة هو الشغل اللي يتركه في اتجاه + +23 +00:02:22,930 --> 00:02:24,230 +القوة هو الشغل اللي يتركه في اتجاه القوة هو الشغل + +24 +00:02:24,230 --> 00:02:25,810 +اللي يتركه في اتجاه القوة هو الشغل اللي يتركه في + +25 +00:02:25,810 --> 00:02:26,470 +اتجاه القوة هو الشغل اللي يتركه في اتجاه القوة هو + +26 +00:02:26,470 --> 00:02:27,270 +الشغل اللي يتركه في اتجاه القوة هو الشغل اللي + +27 +00:02:27,270 --> 00:02:28,970 +يتركه في اتجاه القوة هو الشغل اللي يتركه في اتجاه + +28 +00:02:28,970 --> 00:02:33,750 +القوة هو الشغل اللي يتركه في اتجاه القوة هو الشغل + +29 +00:02:33,750 --> 00:02:39,050 +اللي يتإذا كانت الملاحظات متشابهة ومتطرفة إذا كانت + +30 +00:02:39,050 --> 00:02:44,870 +الملاحظات متشابهة هذه الملاحظات حقق كلهم بقانون + +31 +00:02:44,870 --> 00:02:54,190 +معين اللي هو الوافة2 1 the force on one due to two + +32 +00:02:54,190 --> 00:02:58,450 +هذه القوة اللي على واحد من اتنين يعني هذه القوة + +33 +00:02:58,450 --> 00:03:05,030 +اللي بتأثر على Q1 بتساوي K ثابت تناسب في Q1 في Q2 + +34 +00:03:05,030 --> 00:03:10,710 +تناسب ترضي محاصر ضرب الشحنتين شباب ال Q1 و Q2 على + +35 +00:03:10,710 --> 00:03:17,370 +مربع المسافة اللي بينهم ال absolute value شباب + +36 +00:03:17,370 --> 00:03:22,740 +انحطت ليش؟عشان انا بقعد مجيب ال magnitude و ال + +37 +00:03:22,740 --> 00:03:26,260 +sign تبعتلي ال charge بتحددلي ال direction زي ما + +38 +00:03:26,260 --> 00:03:33,160 +قد حشوف تمام و R اتفقنا الشيء و K هي ثابت مقداره + +39 +00:03:33,160 --> 00:03:40,260 +يعطيه لكم و قعدنا هنكتبهEqual 9 X 9 وحدة نيوتن متر + +40 +00:03:40,260 --> 00:03:45,960 +سكوير على كلهم سكوير وحدة نيوتن متر سكوير على كلهم + +41 +00:03:45,960 --> 00:03:49,240 +سكوير وحدة نيوتن متر سكوير على كلهم سكوير وحدة + +42 +00:03:49,240 --> 00:03:49,240 +نيوتن متر سكوير على كلهم سكوير وحدة نيوتن متر + +43 +00:03:49,240 --> 00:03:49,240 +سكوير على كلهم سكوير وحدة نيوتن متر سكوير على كلهم + +44 +00:03:49,240 --> 00:03:49,240 +سكوير وحدة نيوتن متر سكوير على كلهم سكوير وحدة + +45 +00:03:49,240 --> 00:03:49,760 +نيوتن متر سكوير على كلهم سكوير وحدة نيوتن متر + +46 +00:03:49,760 --> 00:03:51,560 +سكوير على كلهم سكوير وحدة نيوتن متر سكوير على كلهم + +47 +00:03:51,560 --> 00:04:01,060 +سكوير وحدة نيوتن متر سكوير على كلهم + +48 +00:04:01,060 --> 00:04:07,450 +سكوهو زي ما حكيت انا ان ال K تُعطى بهذه الصيغة 9 + +49 +00:04:07,450 --> 00:04:11,310 +في 10 أو 9 النيوتن متر تربية على كلهم تربية وهذه + +50 +00:04:11,310 --> 00:04:15,450 +من الثوابت اللي هيعطيه لكم دائما في كل امتحاناتكم + +51 +00:04:15,450 --> 00:04:19,110 +برضه K اتفقنا عليه انه يكون وصيغة تانية يكتب على + +52 +00:04:19,110 --> 00:04:22,750 +شكل انه 1 على 4 by epsilon not هذه epsilon not + +53 +00:04:22,750 --> 00:04:27,090 +ثابت تاني معروف برضه علميا وموجود وفي كل كتب + +54 +00:04:27,090 --> 00:04:31,150 +الفيزيا موجود كمقداريسمى permittivity of free + +55 +00:04:31,150 --> 00:04:35,230 +space ثابت النفاذية الكعربية للفراغ وحكينا عنه + +56 +00:04:35,230 --> 00:04:41,570 +بهذه الكيفية تم اتفاقنا + +57 +00:04:41,570 --> 00:04:44,570 +ان الكلوم ك vector ممكن يكتب بهذه الصيغة ما زال + +58 +00:04:44,570 --> 00:04:47,370 +كتابة vector بتروح ال absolute value يا شباب لما + +59 +00:04:47,370 --> 00:04:50,270 +بدي اجيب ال magnitude لازم احط ال absolute values + +60 +00:04:50,270 --> 00:04:53,210 +بدي اكتبه ك vector بتروح ال absolute value هذه + +61 +00:04:53,210 --> 00:04:57,780 +الشيء التاني اللي عرفناها انهالـ Electric force is + +62 +00:04:57,780 --> 00:05:03,940 +a force يعني زيها زي الشد زيها زي ال friction زيها + +63 +00:05:03,940 --> 00:05:09,100 +زي ال weight ينطبق عليها جميع قوانين نيوتن التلاتة + +64 +00:05:09,100 --> 00:05:13,280 +و بما فيهم التالت اللي بيقول لكل فعل رد فعل مساوي + +65 +00:05:13,280 --> 00:05:16,240 +له في المقدار و مضاد له في الاتجاه بالتالي زي ما + +66 +00:05:16,240 --> 00:05:21,560 +Q1 بتتأثر في Q2 هي هتأثر على Q2 بنفس القوةوبالتالي + +67 +00:05:21,560 --> 00:05:27,740 +انا بتوقع ان F12 و F21 بينهم مسواء بس إشارة سالب + +68 +00:05:27,740 --> 00:05:33,800 +عشان المعاكسة تمام وإذا كان في عندك أكتر من القوة + +69 +00:05:33,800 --> 00:05:38,100 +اتفقنا بتكون ال resultant force هي مجموع القوة + +70 +00:05:38,100 --> 00:05:42,940 +اللي على الشحنة وهذا جماع اتجاهي مش أكتر زي ما + +71 +00:05:42,940 --> 00:05:48,000 +اتفقنا F21 و F12 عكس بعيد وهذا هو نيوتن التالت + +72 +00:05:48,000 --> 00:05:53,690 +واخر حاجة اتفقنا عليهاإن قانون كلوم لا ينطبق إلا + +73 +00:05:53,690 --> 00:05:57,270 +على ال pointy charges أو الشحنات اللي حجمها بحجم + +74 +00:05:57,270 --> 00:06:00,770 +النقطة وانت واعرفنا ليش ان في عندي خلل في المسافات + +75 +00:06:00,770 --> 00:06:07,050 +بتكون بهذه الحالة تمام هجب أن نبدأ جديا ونحل أسئلة + +76 +00:06:07,700 --> 00:06:11,940 +أول مثال عشان يديني الـSense أحس الشيء القوة + +77 +00:06:11,940 --> 00:06:17,220 +الكهربية قال لي حلم مثال بسيط جدا جسمين مشحونين + +78 +00:06:17,220 --> 00:06:20,760 +اللي هم الالكيوم و البروتون و قال لي روح على ذرة + +79 +00:06:20,760 --> 00:06:26,480 +الهيجروجين أبسط أنواع الذرات و انت عارفينها فحكى + +80 +00:06:26,480 --> 00:06:31,710 +لي انه انت في عندك قانون قلومشبعته بقالون الجاذب + +81 +00:06:31,710 --> 00:06:36,250 +العام صح ولا لأ؟ قالون الجاذب العام بيجيبلك القوة + +82 +00:06:36,250 --> 00:06:41,940 +التجاذب بقى بين أي كتلتين صح؟والقانون تبقى عقلوم + +83 +00:06:41,940 --> 00:06:44,860 +بيجيبلك القوة الكهربية بين جسمين لازم يكونوا + +84 +00:06:44,860 --> 00:06:48,060 +مشحونين قوة الجانب مش مضلولة يكونوا مشحونين قولتلي + +85 +00:06:48,060 --> 00:06:53,420 +تقولي قارنني بين هالقواتين قولي find the magnitude + +86 +00:06:53,420 --> 00:06:57,600 +of the electrical force and the gravitational + +87 +00:06:57,600 --> 00:07:01,560 +force between the electron and the proton in the + +88 +00:07:01,560 --> 00:07:04,680 +hydrogen atom الالكرون و البروتون شباب ما هم كتل + +89 +00:07:05,200 --> 00:07:11,440 +هذا كتلة و هذا كتلة و كتلة و كتلة و كتلة + +90 +00:07:11,440 --> 00:07:16,600 +و كتلة و كتلة + +91 +00:07:16,600 --> 00:07:17,320 +و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و + +92 +00:07:17,320 --> 00:07:17,360 +كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و + +93 +00:07:17,360 --> 00:07:18,260 +كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و + +94 +00:07:18,260 --> 00:07:19,560 +كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و + +95 +00:07:19,560 --> 00:07:20,580 +كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و + +96 +00:07:20,580 --> 00:07:23,060 +كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و + +97 +00:07:23,060 --> 00:07:26,020 +كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و ك + +98 +00:07:26,050 --> 00:07:29,570 +وبالإلكترون يدور حولها وبالتالي نصف قطر ذرة + +99 +00:07:29,570 --> 00:07:34,070 +الهيدروجين هي المسافة ما بين الإلكترون والبروتون ك + +100 +00:07:34,070 --> 00:07:37,230 +average مدينة إليها ده اللي جيب القوة الكعربية + +101 +00:07:37,230 --> 00:07:41,910 +وجيب برضه قوة الجذب وقارن بينهم شوف إيش هذي وإيش + +102 +00:07:41,910 --> 00:07:46,330 +هذي بمجرد بسيط نبدأ بالقوة الجديدة وهي قوة كلوم أو + +103 +00:07:46,330 --> 00:07:52,160 +القوة الكعربية Fe Electric Forceقالون كله مش بيقول + +104 +00:07:52,160 --> 00:07:57,640 +بيقول K في Q1 في Q2 على مربع المسافة اللي بينهم صح + +105 +00:07:57,640 --> 00:08:04,520 +ولا لأ؟ هاي القانون حلو K ثابت معطق ال Q1 و Q2 + +106 +00:08:04,520 --> 00:08:08,160 +عندي معلومة بتقول شحنة الإلكترون و شحنة البروتون + +107 +00:08:08,160 --> 00:08:15,330 +بتساويوبتسوي 1.6×-19 وبرضه يعطيلكم تمام كنقدر مقبع + +108 +00:08:15,330 --> 00:08:18,310 +المسافة هى نديني إياها ببقى علي أعرف أنه عشان + +109 +00:08:18,310 --> 00:08:24,740 +أستخدم ال SI system لازم أحول لانجسترونليش؟ لمتر + +110 +00:08:24,740 --> 00:08:29,140 +طبعا الانجسترون ten to power minus ten عشر عوض + +111 +00:08:29,140 --> 00:08:34,160 +سالب عشرة متر فهي نضال طب لما نحسب بقول نحسب تسعة + +112 +00:08:34,160 --> 00:08:39,120 +في عشر عنصر تسعة هو مقدار K صح ولا لأ ال Q واحد و + +113 +00:08:39,120 --> 00:08:42,940 +Q اتنين اخوة بيسووا one point six ten to power + +114 +00:08:42,940 --> 00:08:46,760 +minus nineteen كلوم one point six ten to power + +115 +00:08:46,760 --> 00:08:51,000 +minus nineteen square لان في عندي two Q'sتمام؟ على + +116 +00:08:51,000 --> 00:08:58,100 +مربع المسافة 0.53 أنجسترون عوّلتها لمتر 10⁻10 متر + +117 +00:08:58,100 --> 00:09:02,920 +وعملت square وديبت ال calculator حسبت طلعت 0.8.2 + +118 +00:09:02,920 --> 00:09:10,670 +10⁻8 ليوتن كبيرة ولا صغيرةسغيرة تقريبا جزء من مائة + +119 +00:09:10,670 --> 00:09:13,850 +مليون شباب لأن المليون عشرة و أسالة بستة بتعرفين + +120 +00:09:13,850 --> 00:09:16,310 +هذه عشرة و أسالة بتمانية يعني انا مائة مليون جزء + +121 +00:09:16,310 --> 00:09:19,750 +من مائة مليون شوفوا قداشي صغيرة لكن لسه مقدش اقول + +122 +00:09:19,750 --> 00:09:24,070 +صغيرة ولا كبيرة بدي اشوف التانية بدي اشوف التانية + +123 +00:09:24,070 --> 00:09:30,730 +تمام to find the gravitational force we have قانون + +124 +00:09:30,730 --> 00:09:39,550 +فيزياليف لتذكروا مع بعضأف بتساوي capital G M1 M2 + +125 +00:09:39,550 --> 00:09:42,570 +over R122 + +126 +00:09:44,760 --> 00:09:49,780 +G ثابت محطوط في الكتب The mass of the proton is + +127 +00:09:49,780 --> 00:09:53,260 +known وموجود في الكتب The mass of the electron is + +128 +00:09:53,260 --> 00:09:56,440 +known constant وموجود في الكتب مربعين مسافة هي + +129 +00:09:56,440 --> 00:10:01,380 +وعطانياها صح ولا لأ؟ مضي غاوت برضه لما يتعودت G + +130 +00:10:01,380 --> 00:10:06,420 +equal 6.67 10 to power minus 11 طبعا في ال two + +131 +00:10:06,420 --> 00:10:13,110 +tens اللي اللي بحصل صحيه يا راح ده9.11 X 10⁻³¹1 + +132 +00:10:13,110 --> 00:10:22,450 +كيلو جرام 9.11 X 10⁻³¹1 + +133 +00:10:22,450 --> 00:10:23,050 +كيلو جرام 9.11 X 10⁻³¹1 كيلو جرام 9.11 X 10⁻³¹1 + +134 +00:10:23,050 --> 00:10:23,570 +كيلو جرام 9.11 X 10⁻³¹1 كيلو جرام 9.11 X 10⁻³¹1 + +135 +00:10:23,570 --> 00:10:23,570 +كيلو جرام 9.11 X 10⁻³¹1 كيلو جرام 9.11 X 10⁻¹¹1 + +136 +00:10:23,570 --> 00:10:26,850 +كيلو جرام 9.11 X 10⁻¹¹1 كيلو جرام 9.11 X 10⁻¹¹1 + +137 +00:10:26,850 --> 00:10:30,290 +كيلو جرام 9.11 X 10⁻¹¹1 كيلو جرام 9.11 X 10⁻¹¹1 + +138 +00:10:30,290 --> 00:10:36,740 +كيلو جرام 9.11 X 10⁻�3.6 X 10⁻⁴ + +139 +00:10:36,740 --> 00:10:47,620 +هو 3.6 X 10⁻⁴ وهي نفس المسافةتصور في 10-47 هذي 10 + +140 +00:10:47,620 --> 00:10:50,800 +-8 ويقولنا أنها صغيرة طب هذي .. هذي مقاتلة متساوية + +141 +00:10:50,800 --> 00:10:55,380 +0 approximate equal to zero مش موجودة يعني بوجود + +142 +00:10:55,380 --> 00:10:59,180 +قوة القهرة بقى قوة الجاذب انساها بقولي ولا إلا + +143 +00:10:59,180 --> 00:11:04,540 +تأثير عشان بس أنت تحس فيها شوف اللي تحتنيها أقل + +144 +00:11:04,540 --> 00:11:08,260 +ضعف أكبر من الفجانية أقل ضعف ده اللي جسموا مع بعض + +145 +00:11:09,870 --> 00:11:14,930 +نذة FE على FG تقريبا + +146 +00:11:14,930 --> 00:11:21,930 +تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا + +147 +00:11:21,930 --> 00:11:22,130 +تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا + +148 +00:11:22,130 --> 00:11:22,130 +تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا + +149 +00:11:22,130 --> 00:11:22,270 +تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا + +150 +00:11:22,270 --> 00:11:22,270 +تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا + +151 +00:11:22,270 --> 00:11:25,610 +تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا + +152 +00:11:25,610 --> 00:11:29,720 +تقمليارات المليارات وبالتالي هذا بس عشان الدين + +153 +00:11:29,720 --> 00:11:32,800 +يحسس انه انا لما اتعامل مع القوة الكهربية ماحد + +154 +00:11:32,800 --> 00:11:37,780 +يقولي وين انسيت قوة الجاذب بينهم قوة الجاذب تهمل + +155 +00:11:37,780 --> 00:11:41,100 +مقارنة بالقوة الكهربية شوفوا قديش صغيرة هذا مثال + +156 +00:11:41,100 --> 00:11:44,580 +هيك بس يعني مجرد نسخ مع بعض طبعا انه عشان + +157 +00:11:44,580 --> 00:11:47,040 +المفاجئين كانوا بيديها حساب قانون كلهم وانا بدي ان + +158 +00:11:47,040 --> 00:11:50,560 +احلي مثال حقيقي example + +159 +00:11:51,380 --> 00:11:56,320 +بيقول لي three pointed charges طبعا قللي pointed + +160 +00:11:56,320 --> 00:11:58,780 +charge عشان قانون كلهم لا ينطبق على ال pointed + +161 +00:11:58,780 --> 00:12:01,620 +charges يا باب صحيح ولا لأ؟ فقاللي هى هم pointed + +162 +00:12:01,620 --> 00:12:04,700 +charge عشان ماتعملش حجة قانون كلهم ينطبق ال three + +163 +00:12:04,700 --> 00:12:10,280 +pointed charges ofمقادهم كلهم معطيين five micro + +164 +00:12:10,280 --> 00:12:14,980 +column minus two micro column يعني حتى نوع الشحنة + +165 +00:12:14,980 --> 00:12:18,960 +يعطينا minus two يعني مقدارها اتنين و نوعها سالب + +166 +00:12:18,960 --> 00:12:23,040 +صح ولا لا؟ and five micro column و تالتة five + +167 +00:12:23,040 --> 00:12:25,820 +micro column زي الأولى مش قابلية I'm located at + +168 +00:12:25,820 --> 00:12:28,280 +the corner of a right triangle as shown in the + +169 +00:12:28,280 --> 00:12:31,960 +figure دائما الرسمة من معطيات السؤال شباب ال + +170 +00:12:31,960 --> 00:12:34,360 +triangle هو right و قعدنا نشوف ان هو متساور اضلاع + +171 +00:12:34,360 --> 00:12:40,400 +كمان تمامFind the resultant electric force exerted + +172 +00:12:40,400 --> 00:12:41,360 +on Q3 + +173 +00:12:48,590 --> 00:12:53,130 +هذه الـ Q1 وهذه الـ Q2 وهذه الـ Q3 والمسافات عقنية + +174 +00:12:53,130 --> 00:12:56,810 +هذه معطيات هجت الـ Q2 السالب اللي هو أنا اعتمد + +175 +00:12:56,810 --> 00:12:59,850 +اللون الأزرق للسالب و اللون الأحمر للموجب زي ما + +176 +00:12:59,850 --> 00:13:02,910 +احنا متعودين دايما ان السليك الأحمر هو الموجب و + +177 +00:13:02,910 --> 00:13:05,370 +السليك الأزرق هو السالب فاننا نعتمد احنا اللون + +178 +00:13:05,370 --> 00:13:08,710 +الأزرق ل negative charges و اللون الأحمر ل + +179 +00:13:08,710 --> 00:13:12,010 +positive charges فهذه معطيات السؤال بيقول لي عندي + +180 +00:13:12,010 --> 00:13:16,750 +تلت شحناتمقاديرهم وانواعهم مُعطَيِّن، مُحطُطين على + +181 +00:13:16,750 --> 00:13:21,210 +رؤوس مثلث قائم الزاوية ومتساوى الساقين، 0.1، 0.1، + +182 +00:13:21,210 --> 00:13:24,930 +نظروا الألتالت اللي ممكن يجيبوا؟ من؟ من في فرغوص، + +183 +00:13:24,930 --> 00:13:30,530 +تمام، إيش بده؟ بيقوللي أوجد القوة الكلية على كيو + +184 +00:13:30,530 --> 00:13:34,690 +تماتة شباب، الـQ تماتة بتتأثر بشحنة ولا بشحنتين؟ + +185 +00:13:35,350 --> 00:13:39,870 +يعني أنا كم قوة بتأثر عليها؟ بدي أجيبهم وبعدين + +186 +00:13:39,870 --> 00:13:45,170 +أجمعهم أجمعهم ك vectors او ك skills؟ ك vector + +187 +00:13:45,170 --> 00:13:49,890 +لأنهم قدرات و ال force is a vector quantity يعني + +188 +00:13:49,890 --> 00:13:53,290 +لما تطلع واحد منهم خمسة و التانية تلاتة او تمانية + +189 +00:13:53,290 --> 00:13:57,750 +لأ بتطلع ال directions صح ولا لأ؟ كيف ننحي الشباب؟ + +190 +00:13:57,750 --> 00:14:01,170 +أول خطوة بدي نعملها بدي أحدد ال directions على + +191 +00:14:01,170 --> 00:14:06,030 +الرسمة كيف بدي أحدد ال directions؟تبع للتجاذب + +192 +00:14:06,030 --> 00:14:10,750 +والتنافر المعلوم اللى عندي لو الشحنات متشابهات + +193 +00:14:10,750 --> 00:14:15,990 +تنافر لو مختلفات تجاذب الان انا ايش بده اطلع هو + +194 +00:14:15,990 --> 00:14:20,010 +ايش بده قوة على اي شحنة شباب على Q3 اذا انا باطلع + +195 +00:14:20,010 --> 00:14:24,180 +على Q3 هي اللى بيجيبهي بتتنافرهي اللي بدهن يجذبهي + +196 +00:14:24,180 --> 00:14:27,340 +بالإتنافر. يعني هي اللي بدهن تتحرك. أنا بديش شحنات + +197 +00:14:27,340 --> 00:14:30,440 +منهم، أنا بديش دقاء فيهم. هم مؤثرين لكن أنا بدرسش + +198 +00:14:30,440 --> 00:14:33,460 +حركتهم. أنا بدرس القوة اللي على مين قاعد؟ على + +199 +00:14:33,460 --> 00:14:40,260 +الـQ3. بالتالي بدي أكون تركيزي on الـQ3. وده شباب؟ + +200 +00:14:40,260 --> 00:14:46,300 +تمام. نبدأ الـQ3 و الـQ1 متشابهات ولا مختلفات؟ + +201 +00:14:46,300 --> 00:14:50,000 +متشابهات. إذا القوة بينهم attractive or repulsive؟ + +202 +00:14:50,950 --> 00:14:54,250 +reversive يعني تنافورية يعني بدي اتطلع مين بدي + +203 +00:14:54,250 --> 00:14:59,570 +اتنافر Q3 ولا Q1 ايش المقلوب مني انا Q3 انا + +204 +00:14:59,570 --> 00:15:02,130 +المقلوب مني Q3 التنتين مظبوط لكن انا مش مقلوب من + +205 +00:15:02,130 --> 00:15:05,110 +ال Q1 بقول الشحنة ايه اللي هو بدي قوة عليه الشحنة + +206 +00:15:05,110 --> 00:15:11,850 +اذا بركز على Q3 بقول Q3 بدي اتنافر واني بتروحهي + +207 +00:15:11,850 --> 00:15:15,830 +اتجاه القوة. هذا هو اتجاه القوة اللي بيحدده. في + +208 +00:15:15,830 --> 00:15:19,410 +بينهم قوة التنافر. بطل على كيو تلاتة. وقالينكم + +209 +00:15:19,410 --> 00:15:24,030 +شباب بيكترصموا free body diagram of كيو ثري. إذن + +210 +00:15:24,030 --> 00:15:26,650 +بالتاني لما ترصموا free body diagram القوة بتكون + +211 +00:15:26,650 --> 00:15:28,850 +على الشحنة اللي بيكترصمولها ل free body diagram + +212 +00:15:28,850 --> 00:15:33,370 +ولا لأ. إذن بالتاني لو بدي أدي أحيل شباب هي بتشارج + +213 +00:15:33,370 --> 00:15:34,030 +كيو ثري + +214 +00:15:41,310 --> 00:15:47,270 +القوة اللي على تلاتة من واحد due to Q1 and F23 من + +215 +00:15:47,270 --> 00:15:51,090 +وين جاء الـF23؟ من الـ2 من الـ2 with the direction + +216 +00:15:51,090 --> 00:15:54,350 +shown يلّا نحط ال direction زي ما قبل حكينا الـQ3 + +217 +00:15:54,350 --> 00:15:59,910 +will be repulsive with Q1 the force on Q3 will be + +218 +00:15:59,910 --> 00:16:03,410 +repulsive بالتاني هتكون القوة بهذه الشكل صح ولا + +219 +00:16:03,410 --> 00:16:03,970 +لأ؟ + +220 +00:16:07,310 --> 00:16:09,590 +حاجات انا ايش قاعد بديب القوة؟ على مين؟ ايش + +221 +00:16:09,590 --> 00:16:13,190 +المطلوب مني؟ مطلوب القوة على Q3 هذا مطلوب السؤال + +222 +00:16:13,190 --> 00:16:17,430 +انا هعدده مش باختياري بقول find the resultant + +223 +00:16:17,430 --> 00:16:22,410 +electric force exerted on Q3 تمام؟ على Q3 بقول Q3 + +224 +00:16:22,410 --> 00:16:26,250 +is affected by two forces عليها قوتين Q3 صح ولا + +225 +00:16:26,250 --> 00:16:31,290 +لأ؟ من واحد عليها قوة ومن اتنين عليها قوة بديعوا + +226 +00:16:31,290 --> 00:16:36,070 +واحدة واحدة نبدأ بواحدواحد و تلاتة are like the + +227 +00:16:36,070 --> 00:16:39,950 +same sign of charges صح ولا لأ، اتنين موجبات، + +228 +00:16:39,950 --> 00:16:44,010 +اتانية كماطة، هي خمسة و خمسة، تمام؟ اذا بقول القوة + +229 +00:16:44,010 --> 00:16:47,870 +اللي بينهم repulsive، صح؟ شوف repulsive يعني بدي + +230 +00:16:47,870 --> 00:16:51,970 +تتنافر، بما ان طالب القوة على Q تلاتة بقول Q تلاتة + +231 +00:16:51,970 --> 00:16:55,810 +هي بدي تتنافر، مش واحد، لأن هو طالب Q تلاتة، + +232 +00:16:55,810 --> 00:17:02,140 +بالتالة بقول Q threeسيتأثر من قوة التجارة F13 كما + +233 +00:17:02,140 --> 00:17:06,780 +تشاهد في الفيجارة طيب بالنسبة لـQ2 القوة التانية + +234 +00:17:06,780 --> 00:17:10,080 +بينهم قوة تجارة و لا قوة تجارة طيب إذا أنا أشتغل + +235 +00:17:10,080 --> 00:17:11,580 +على قوة تجارة قواتي تجارة قواتي تجارة قواتي تجارة + +236 +00:17:11,580 --> 00:17:12,280 +قواتي تجارة قواتي تجارة قواتي تجارة قواتي تجارة + +237 +00:17:12,280 --> 00:17:12,540 +قواتي تجارة قواتي تجارة قواتي تجارة قواتي تجارة + +238 +00:17:12,540 --> 00:17:12,960 +قواتي تجارة قواتي تجارة قواتي تجارة قواتي تجارة + +239 +00:17:12,960 --> 00:17:22,900 +قواتي تجارة قواتي تجارة قواتي + +240 +00:17:22,900 --> 00:17:29,480 +تجارةالشباب اللي كان على رأسنا حددت اتجاه القوتين + +241 +00:17:29,480 --> 00:17:35,320 +واضح ان التاني F23 is directed along the negative + +242 +00:17:35,320 --> 00:17:44,180 +x axis ولا لألكن f13 between the x and the y بدى + +243 +00:17:44,180 --> 00:17:48,260 +تحليل صح اي مرة بحلل بظبط ولا لا اخدنا التحليل + +244 +00:17:48,260 --> 00:17:51,780 +واحدة واحدة ما زال ما حددت الاتجاه و خلصت الدورة + +245 +00:17:51,780 --> 00:17:54,880 +جيب ال magnitude و ال magnitude قانون كلهم بيجيبهم + +246 +00:17:54,880 --> 00:17:59,670 +صح ولا لا كم بعد انا هادى الخطوة كتير ماهمأول ما + +247 +00:17:59,670 --> 00:18:01,890 +بدي أدى بدي أحدد ال directions على الرسمة يا شباب + +248 +00:18:01,890 --> 00:18:04,850 +أول خطوة بدي أعملها أحدد ال directions على الرسمة + +249 +00:18:04,850 --> 00:18:08,150 +وبعد كده بدي بال magnitude و بشتغل ك vectors سهلة + +250 +00:18:08,150 --> 00:18:15,270 +نتعامل معها بقول F13 ك magnitude عشان كده مش حاطب + +251 +00:18:15,270 --> 00:18:19,810 +vector فوق ال F equal K في ال absolute value ل Q1 + +252 +00:18:19,810 --> 00:18:25,590 +multiplied by the absolute value of Q3 over R132 + +253 +00:18:27,960 --> 00:18:39,520 +9 X 9 Q1 5 X 10⁻⁶ الماكرو كلهم يتحولوا لكلهم شباب + +254 +00:18:39,520 --> 00:18:45,000 +مينساش ال S I unit of charge is كلهم مش ماكرو كلهم + +255 +00:18:45,000 --> 00:18:50,060 +الداني ماكرو كلهم يتحولها و الماكرو 10⁻⁶ و Q3 فرضه + +256 +00:18:50,060 --> 00:18:54,980 +5 بحطها طب مربع أي مسافة او point oneهل المسافة + +257 +00:18:54,980 --> 00:18:58,260 +بين واحد و تلاتة او point one و لا اي رقم بدي اشوف + +258 +00:18:58,260 --> 00:19:02,700 +و بدي اخده بقدر اجيبه من ال FIFA goals زي ما انتوا + +259 +00:19:02,700 --> 00:19:08,240 +حكيته تمام بقول nine ten to power nine هذا مقدار K + +260 +00:19:08,240 --> 00:19:14,540 +five ten to power minus six the value of Q1 five + +261 +00:19:14,540 --> 00:19:17,680 +ten to power minus six the value of Q3 they are + +262 +00:19:17,680 --> 00:19:25,380 +equal over هذه المسافة شباب هي مربعجزر التربيعي لـ + +263 +00:19:25,380 --> 00:19:29,300 +0.1 ولا لأ من فيثا وارس صح ولا لأ هاي فيثا وارس + +264 +00:19:29,300 --> 00:19:35,720 +بتجيبها فحطيتها وربعتها بس + +265 +00:19:35,720 --> 00:19:39,660 +2 تحت الجزر والباقي 0.1 طبعا ربعتها 0.1 اللي هي + +266 +00:19:39,660 --> 00:19:43,260 +اللي فوق طولها تحت 11 نيوتين طبعا هاي أول واحدة + +267 +00:19:43,260 --> 00:19:46,800 +جيبتها 11 نيوتين لإن أنا كنت قادر أقول باتجاه ال I + +268 +00:19:46,800 --> 00:19:50,080 +ولا باتجاه ال J صح ولا لأ واحدة واحدة ماني بحللها + +269 +00:19:50,080 --> 00:19:57,610 +بس أجيب أختهاأعطوه كمجموعة بقول F23 equal to the + +270 +00:19:57,610 --> 00:20:04,070 +absolute value of Q2 over the square of the + +271 +00:20:04,070 --> 00:20:08,450 +distance between them بدا نقل الشباب لما حطوا Q2 + +272 +00:20:08,450 --> 00:20:12,070 +حطوا absolute value بديش بكرة طالب يقولوا حرام هذه + +273 +00:20:12,070 --> 00:20:16,200 +السالب ماحطهاش في جوابهالسالب ممنوع تنحط لان ال + +274 +00:20:16,200 --> 00:20:19,640 +absolute value يعني ان انا ماليش دقوة بالسالب و + +275 +00:20:19,640 --> 00:20:22,480 +انا ماديه magnitude بالتالي انا ماني بدى اعود مش + +276 +00:20:22,480 --> 00:20:26,700 +واحد يحط لي minus two لأ هي two مع ان المعطيات + +277 +00:20:26,700 --> 00:20:29,840 +هناك minus minus one في الآخر عشان كده انا حاطط ال + +278 +00:20:29,840 --> 00:20:32,480 +absolute value للشباب وهذه بأكسل الشغلات الكتيرة + +279 +00:20:32,480 --> 00:20:36,050 +اللي حاطط السالب بتعرفها خطأ عن خطأوبالتالي لما + +280 +00:20:36,050 --> 00:20:39,830 +أقول absolute value لأنه أنا بجيب المجلد two تبع + +281 +00:20:39,830 --> 00:20:43,490 +ال force two ten to power minus six the value of + +282 +00:20:43,490 --> 00:20:47,330 +q2 five ten to power minus six the value of q3 + +283 +00:20:47,330 --> 00:20:51,470 +over the distance between two and three 0.1 ولا + +284 +00:20:51,470 --> 00:20:57,240 +لأ؟ 0.1 ردعتها اشتغلت طولها التسعة نيوتينالـ two + +285 +00:20:57,240 --> 00:21:01,480 +forces كمجموعه جابه الـ direction جاهز إذا فيه أي + +286 +00:21:01,480 --> 00:21:05,340 +طالب بنسى بيقول خلص السؤال نجمع تسعة و أحداشر + +287 +00:21:05,340 --> 00:21:09,620 +عشرين في مشكلة كلها اللي بنشتغله و كلها الشطر + +288 +00:21:09,620 --> 00:21:13,680 +الأولاني الفيزيائي أتعلمنا كيف نجيب نتعامل مع ال + +289 +00:21:13,680 --> 00:21:18,000 +vectors بينفعش نقول عشرين صح ولا لأ؟ لازم أشتغل + +290 +00:21:18,000 --> 00:21:23,040 +الآن أحلل عشان أشتغل أحلل برجعبقول عشان تجمع + +291 +00:21:23,040 --> 00:21:27,820 +اكتبلي ال two forces ك vectors يعني بدلانة I and J + +292 +00:21:27,820 --> 00:21:32,060 +او K اذا مش موجود مش هيكون عندى يلا نشغل F13 شباب + +293 +00:21:32,060 --> 00:21:36,120 +متفقين بدي تحليل ولا لا؟ يلا نحلل بقول هي تحلل + +294 +00:21:36,120 --> 00:21:41,080 +اتحرك بدي اتحلل positive X component and positive + +295 +00:21:41,080 --> 00:21:46,200 +Y component عشان احلل بدي زاوية صح ولا لا الزاوية + +296 +00:21:46,200 --> 00:21:51,780 +هادى خليني نشوفهاطبعا خلّيني اقول زاوية ماليش دعوة + +297 +00:21:51,780 --> 00:21:54,500 +فيها انا بدي في الآخر ال cosine تبعها و ال sine + +298 +00:21:54,500 --> 00:21:59,080 +تبعها صح ولا لأ هاي زاوية بقدر أقول الآن ان F13 + +299 +00:21:59,080 --> 00:22:03,700 +بسوية F13 اللي هي ضالعة من 11 11 cosine فيتا + +300 +00:22:03,700 --> 00:22:07,920 +باتجاه ال I زائد 11 sine فيتا باتجاه ال J ولا لأ + +301 +00:22:07,920 --> 00:22:13,000 +اه هاي الحللنها طلعت هيك مافيش مشكلة ضل علي اجيب + +302 +00:22:13,000 --> 00:22:16,320 +cosine فيتا و sine فيتا عشان اجيب cosine فيتا و + +303 +00:22:16,320 --> 00:22:20,850 +sine فيتا طلعت فيتا هي نفسها ديمش هي ذاك الزاوية + +304 +00:22:20,850 --> 00:22:25,390 +الحمضة التانية بالتقابل بالراس بغض النظر عن أنها + +305 +00:22:25,390 --> 00:22:29,910 +تلقى 45 بايت شانس لو ماكنش تعوج أديش الزاوية مش ال + +306 +00:22:29,910 --> 00:22:35,230 +cosine هي بيسوي 0.1 على الوطر cosine هي بيسوي 0.1 + +307 +00:22:35,230 --> 00:22:38,010 +على الوطر لذا أنا مانيش تعوج أديش الزاوية اللي ده + +308 +00:22:38,010 --> 00:22:41,430 +هو بالأبعاد انا بدي انا بدي القابل و الوطر و + +309 +00:22:41,430 --> 00:22:44,210 +المجاور و الوطر إذا موجودين مانا أديش الزاوية + +310 +00:22:44,210 --> 00:22:47,690 +بتعني ميش لإن في خطأ شاية أي زاوية بيغلب فيها + +311 +00:22:47,690 --> 00:22:51,760 +الطالب وحطها 45حتى لو ماكنتش 45 لأ الزاوية بدي + +312 +00:22:51,760 --> 00:22:55,100 +أجيبها في نهاية من أبعادها لإنها بقت شهص مع طيارة + +313 +00:22:55,100 --> 00:22:59,040 +الدفنين 45 طب أتكلم من 45 القصارى والصين بيساوي + +314 +00:22:59,040 --> 00:23:03,980 +واحد و بيساوي 0.707 فضال علي مجمرة أكتبهم هيطلعت + +315 +00:23:03,980 --> 00:23:09,340 +F13 ك vector زي ما انتوا شايفين لا هي سينية ولا هي + +316 +00:23:09,340 --> 00:23:13,100 +صادية it has two components X component and Y + +317 +00:23:13,100 --> 00:23:17,990 +component بالنسبة للتانية بدي تحليللأ جاهزة لأ + +318 +00:23:17,990 --> 00:23:24,350 +جاهزة after three we have مادهي سارب I السالب مش + +319 +00:23:24,350 --> 00:23:27,350 +عشان التنين سالب شباب لأ السالب ان هو تجاه سارب + +320 +00:23:27,350 --> 00:23:32,910 +صيني حطي السالب I هيك خلصنا حاجات بدي أجمعبقول + +321 +00:23:32,910 --> 00:23:38,190 +القوة القليلة على F3 بيسوي مجموع القوتين صح ولا + +322 +00:23:38,190 --> 00:23:44,870 +لأ؟ فبتصير Now the resultant force acting on Q3 is + +323 +00:23:44,870 --> 00:23:49,250 +the vector sum of the two forces سهل أصير جمعته في + +324 +00:23:49,250 --> 00:23:53,950 +vector الشباب جسدنا سهل أبتصير بعد كده F3 بتسوي + +325 +00:23:53,950 --> 00:23:59,490 +F13 plus F23 وكنا بنعرف نجمع في vectors من يجمعهم + +326 +00:23:59,490 --> 00:24:05,010 +ال I مع ال I و ال J مع ال Jبتطلع عندى minus 1.1 I + +327 +00:24:05,010 --> 00:24:11,250 +plus 7.9 J نيوتن صحيح يا شباب؟ في اي مشكلة؟ في اي + +328 +00:24:11,250 --> 00:24:13,810 +تعليق اي استفسار على السؤال احكي + +329 +00:24:17,250 --> 00:24:21,270 +طبعا يعني هو عادى أسئلة من أسئلة كتير مشهورة في + +330 +00:24:21,270 --> 00:24:24,530 +الكتاب و في الامتحانات ايش هيتغير زى ماعاكى عامة + +331 +00:24:24,530 --> 00:24:27,570 +اما هيتغير الأزرق محل الأحمر و الأحمر محل الأزرق + +332 +00:24:27,570 --> 00:24:30,770 +او المثلث بدل ما هو قائم ازاى يعمل ايه متساول + +333 +00:24:30,770 --> 00:24:34,590 +اضلاع متساول الساقين ازاى ماستين و تلاتين ممكن + +334 +00:24:34,590 --> 00:24:37,570 +يجيبلي اربع شحنات محطتين عرص مربع و لا مرعرص + +335 +00:24:37,570 --> 00:24:40,270 +مستاطيل فى النهاية بيكون عندى في هذه الحالة تلاتة + +336 +00:24:40,270 --> 00:24:45,550 +forces صح ولا لأ اذا هاي العامر علينامجرد شغلات زي + +337 +00:24:45,550 --> 00:24:48,770 +هيك ان انا اول حاجة بدي احدد ال direction of the + +338 +00:24:48,770 --> 00:24:52,350 +forces on the diagram عن الرسمة وبعد كده اجيب ال + +339 +00:24:52,350 --> 00:24:55,170 +magnitudes و بعد ما اجيب ال magnitude و ال + +340 +00:24:55,170 --> 00:24:58,770 +direction انا محدده اكتب ال forces ك vectors عشان + +341 +00:24:58,770 --> 00:25:02,710 +اجمع صح شبان ..بالناس نقلطوا نجمعهم ك scalars لان + +342 +00:25:02,710 --> 00:25:07,010 +هذه a very big mistake انه اجمع ك scalar غلطة + +343 +00:25:07,010 --> 00:25:10,450 +لاتختفربنفعش نقول والله تسعة واحد عشان عشان عشان + +344 +00:25:10,450 --> 00:25:11,490 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +345 +00:25:11,490 --> 00:25:11,710 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +346 +00:25:11,710 --> 00:25:12,030 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +347 +00:25:12,030 --> 00:25:14,530 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +348 +00:25:14,530 --> 00:25:14,550 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +349 +00:25:14,550 --> 00:25:15,110 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +350 +00:25:15,110 --> 00:25:26,790 +عشان عشان عشان عشان عشان عشان + +351 +00:25:26,790 --> 00:25:35,930 +عشان + +352 +00:25:36,370 --> 00:25:40,670 +نشوف إيش جاهز بيقول الـ Q1 equal plus 15 + +353 +00:25:40,670 --> 00:25:46,470 +microcoulomb at x equal 2 meter مديني بعضها و كأنه + +354 +00:25:46,470 --> 00:25:50,390 +بيعمللي على ال x axis يعني تمام ال Q2 equal 6 + +355 +00:25:50,390 --> 00:25:53,250 +microcoulomb at the origin و Q2 محطوطة في منطقة + +356 +00:25:53,250 --> 00:26:00,760 +الاصل and Q3 at xطبعا الـ Q3 لم يديكم مقدارها ولا + +357 +00:26:00,760 --> 00:26:03,780 +نوحها صح ولا لأ تمام بصراحة بصراحة ما زال مش مدينة + +358 +00:26:03,780 --> 00:26:05,820 +نوحها ممكن اعتبرها positive ممكن اعتبرها negative + +359 +00:26:05,820 --> 00:26:10,800 +صح ولا لأ تمامإذا كانت قوة الإلكتريكية المتواجدة + +360 +00:26:10,800 --> 00:26:21,400 +في الـ Q3 صحيحًا، إذا كانت قوة الإلكتريكية + +361 +00:26:21,400 --> 00:26:22,400 +المتواجدة في الـ Q3 صحيحًا، إذا كانت قوة + +362 +00:26:22,400 --> 00:26:22,720 +الإلكتريكية المتواجدة في الـ Q3 صحيحًا، إذا كانت + +363 +00:26:22,720 --> 00:26:22,840 +قوة الإلكتريكية المتواجدة في الـ Q3 صحيحًا، إذا + +364 +00:26:22,840 --> 00:26:23,080 +كانت قوة الإلكتريكية المتواجدة في الـ Q3 صحيحًا، + +365 +00:26:23,080 --> 00:26:23,540 +إذا كانت قوة الإلكتريكية المتواجدة في الـ Q3 + +366 +00:26:23,540 --> 00:26:26,520 +صحيحًا، إذا كانت قوة الإلكتريكية المتواجدة في الـ + +367 +00:26:26,520 --> 00:26:30,230 +Q3 صحيحًا، إذا كانت قوة الإلكتريكية المبسيطة، + +368 +00:26:30,230 --> 00:26:33,690 +المعطى صار مطلوب و المطلوب صار معطى، مش أكتر بس + +369 +00:26:33,690 --> 00:26:37,190 +أول نص من الرسمة، الرسمة من طبيعة الأسنان، هي + +370 +00:26:37,190 --> 00:26:40,530 +التلات شحنات طبعا اللي في النص أنا حطتها سالب عشان + +371 +00:26:40,530 --> 00:26:43,450 +نغير هال .. هالألوان، يعني الصور في حلوة ألوان، + +372 +00:26:43,450 --> 00:26:47,050 +لأنه التالتة ما جاليش سالبة هو، صح ولا لا؟ ممكن + +373 +00:26:47,050 --> 00:26:49,710 +تحطها موجيبة، ممكن تحطها سالبة، أنا اختارت سالبة، + +374 +00:26:49,710 --> 00:26:52,550 +تمام؟ اللي أنا .. التنتين الأولانية هو دانياهم + +375 +00:26:52,550 --> 00:26:55,590 +positive، الأولانين التنتين الحمر هو دانياهم، + +376 +00:26:55,590 --> 00:26:57,730 +التالتة عشان ماصارش كله حمر، قلنا نخليها زرجة + +377 +00:27:00,590 --> 00:27:04,230 +استنى شوية خلّيني اشوف انا و اياك طبعا قعدنا نشوف + +378 +00:27:04,230 --> 00:27:08,670 +بقول ي find x اول بصنا نحط ده اللي هي q2 اللي + +379 +00:27:08,670 --> 00:27:12,390 +محطوطة عند ال origin صحيح ولا لأ؟ هيها ال q2 و q1 + +380 +00:27:12,390 --> 00:27:16,950 +شباب ال 15 محطوطة على بُعد جديش؟ two meter طبعا + +381 +00:27:16,950 --> 00:27:20,710 +الزرقاء اللي هو q3 اللي اعتبرت ان انا زرقاء تبعد + +382 +00:27:20,710 --> 00:27:25,030 +مسافة x فهدا هي هجد هذه q3 هذه المسافة two meter + +383 +00:27:25,030 --> 00:27:30,040 +وهذه المسافة xهاجدش المطلوب المعطل عندى بيقولي the + +384 +00:27:30,040 --> 00:27:37,360 +net force in q3 is zero اكم force على q3؟ two + +385 +00:27:37,360 --> 00:27:42,940 +forces ال force is vector or scalar؟ vector عشان + +386 +00:27:42,940 --> 00:27:45,320 +تجمع two vectors يصووا zero بنفع يكونوا بنفس + +387 +00:27:45,320 --> 00:27:50,260 +الاتجاه؟لأ غصب عنهم يجب أن يكونوا عكس بعيد يعني + +388 +00:27:50,260 --> 00:27:52,860 +حتى لو كانوا متساويات five of five in reverse + +389 +00:27:52,860 --> 00:27:57,180 +اتجاه بيطلع عشرة صح او لا لكن عشان يطلع zero بدي + +390 +00:27:57,180 --> 00:28:00,240 +واحدة I واتانية سالب I او واحدة J واتانية سالب J + +391 +00:28:00,240 --> 00:28:04,380 +صح او لا اذا انا عندي ما زال جالي zero لازم ال two + +392 +00:28:04,380 --> 00:28:09,000 +forces يكونوا opposite تمام؟ عشان كده قلت الزرجة + +393 +00:28:09,000 --> 00:28:12,620 +هذه لازم تكون في النص وخلنا نشوف هالزرجة ولا لأ لو + +394 +00:28:12,620 --> 00:28:20,460 +زرجة ونجيب القوتينهل تنجذب نوعه هادي ولا لا؟ هادي + +395 +00:28:20,460 --> 00:28:23,120 +أف واحد تلتا عشان ده اكتبه مافيش اكتب كتير طب و من + +396 +00:28:23,120 --> 00:28:27,620 +بالنسبالي هادي؟ عكس بعيد ولا مش عكس بعيد؟ إذا + +397 +00:28:27,620 --> 00:28:32,500 +بتظبط معايا نشوف أنت تقول ماينفعش تقول حامرة لأ + +398 +00:28:32,500 --> 00:28:36,000 +هال هادي شباب صارت حامرة positive أيه بتوصلين + +399 +00:28:36,000 --> 00:28:38,260 +معايا؟ بالنسبالي هادي انت اتنافع طب بالنسبالي + +400 +00:28:38,260 --> 00:28:46,540 +هادي؟ برضه صح احكي مشلك فيها؟ مشلك فيها؟فيه، ماشي + +401 +00:28:46,540 --> 00:28:50,260 +لك فيها؟ هو ايش المعطب و لا؟ الـ net force عالميا + +402 +00:28:50,260 --> 00:28:55,300 +على مين؟ عالمين، zero ع تلاتة، اذا ان انت بتركز ع + +403 +00:28:55,300 --> 00:29:00,620 +تلاتة، بديك ال forces on Q3 مالكاش جاوة on Q1 or + +404 +00:29:00,620 --> 00:29:06,000 +on Q2، موجودين لكن مالكاش جاوة فيهم، هو واضح؟ اذا + +405 +00:29:06,000 --> 00:29:08,740 +معناته الأحمر بظبط و الأزرق بظبط، هو نقول ان انا + +406 +00:29:08,740 --> 00:29:12,540 +اخترت الأزرق عشان نغير ألوان، تمام؟ لكن واحد بيقول + +407 +00:29:12,540 --> 00:29:16,670 +طب انت حاططها عند X، طب ممكن X تكون هناليش هتبرطها + +408 +00:29:16,670 --> 00:29:22,890 +هنا؟ بنفع تكون هاجة زرقة هنا تكلولي + +409 +00:29:22,890 --> 00:29:27,970 +بس نص دقيقة، هل في إمكانية القوتين يكونوا عكس بعض؟ + +410 +00:29:27,970 --> 00:29:33,650 +لأ، مستحيل، بيصيروا، خليها زرقة زي ما هي، لو كانت + +411 +00:29:33,650 --> 00:29:37,030 +هاجة زرقة، بيبقى تصير هنا تجاذبية و تانى تجاذبية + +412 +00:29:37,030 --> 00:29:41,260 +ولا لأ؟إذا نفسك تجه نقوة تكون P0، صح؟ إذا معناته + +413 +00:29:41,260 --> 00:29:45,780 +لازم تكون X في النص، صح ولا لأ؟ لكن لو معطياتي + +414 +00:29:45,780 --> 00:29:51,180 +السؤال من أصله بيقول Q1 15 و Q2 سلب 6، مش 6، + +415 +00:29:51,180 --> 00:29:55,100 +معناته هذه ممنوع تكون في النص، مظبوط ولا لأ؟ لازم + +416 +00:29:55,100 --> 00:30:00,500 +تكون برا، طبعا برا و ان بالظبط بيدح حسب الأرقام و + +417 +00:30:00,500 --> 00:30:04,180 +ال magnitude، مظبوط، عشان يتساوىتمام اذا احنا الآن + +418 +00:30:04,180 --> 00:30:08,640 +عملنا انه انا اختياره لازرق مجرد هيك مزاج انا ممكن + +419 +00:30:08,640 --> 00:30:11,740 +اختارها حمرا عشان كده هو ادانيها Q3 وماجليش + +420 +00:30:11,740 --> 00:30:14,920 +positive or negative لانه عارف في الحالتين تظبط + +421 +00:30:14,920 --> 00:30:19,020 +معاه تمام هيك؟ تمام اذا انا كيف بده احتياط فهو بده + +422 +00:30:19,020 --> 00:30:23,860 +X، X المجهول الوحيد تمام مقولي the two forces + +423 +00:30:23,860 --> 00:30:29,560 +acting on Q3 are both attractive صح ولا لأ؟and so + +424 +00:30:29,560 --> 00:30:35,820 +opposite عشان كده opposite و هدا هما F1 تلاتة و F2 + +425 +00:30:35,820 --> 00:30:39,240 +تلاتة صح ولا لأ مازالهم opposite إذا كلامه صح ممكن + +426 +00:30:39,240 --> 00:30:42,460 +يكون zero إيش ضال عليا لازم يتساور مش لازم يتساوى + +427 +00:30:42,460 --> 00:30:47,260 +لازم يتساوى كفوش opposite و بس لازم يتساوى عشان + +428 +00:30:47,260 --> 00:30:53,200 +أجمعهم يطلع zero تمام the net force to be zero + +429 +00:30:58,450 --> 00:31:06,030 +أفواح التلاتة يجب أن تكون أكتر + +430 +00:31:06,030 --> 00:31:14,970 +من 4 بيكون أكتر من 4 بيكون أكتر من 4 بيكون أكتر + +431 +00:31:15,370 --> 00:31:22,430 +بقول F13 بتساوي K Q1 absolute value فى Q3 absolute + +432 +00:31:22,430 --> 00:31:26,970 +value over the distance between 1 and 3 square و + +433 +00:31:26,970 --> 00:31:32,830 +التانية 2 و 3 K Q2 Q3 over R23 square صحيح الشباب + +434 +00:31:32,830 --> 00:31:37,930 +شغال ولا لأ صح صحين معانا تمام هجيت R13 هي قداش + +435 +00:31:37,930 --> 00:31:44,910 +بين 1 و 3 شايفين على الرسمة قداش المسافةدى ماقص X + +436 +00:31:44,910 --> 00:31:50,590 +لأنه بين واحد واتنين اتنين او بين two and three X + +437 +00:31:50,590 --> 00:31:57,850 +اذا المسافة between one and three اللى هى ها دى + +438 +00:31:57,850 --> 00:32:03,990 +عبارة عن two minus X صحيح الشجابة ولا لأ؟ and the + +439 +00:32:03,990 --> 00:32:08,470 +distance between two and three is X طبعا واضح من + +440 +00:32:08,470 --> 00:32:13,810 +الرسمة لان ان K مع K بتعود عنهاتمام و Q3 المجموعة + +441 +00:32:13,810 --> 00:32:20,430 +مش مدينيا بلزمني لأ بقول أول K + +442 +00:32:20,430 --> 00:32:25,450 +مع K الله سهل عليهم صحيح ولا لأ و Q3 with Q3 + +443 +00:32:25,450 --> 00:32:31,470 +cancel each other بيهش بيهش عوض الآن عوضنا imply + +444 +00:32:31,470 --> 00:32:40,050 +thatQ1 المعطينيها 15 X 10⁻⁶ على 2 minus X² صح ولا + +445 +00:32:40,050 --> 00:32:46,710 +لأ equal 6 the magnitude of Q2 على X تربيع خلاص + +446 +00:32:46,710 --> 00:32:57,450 +10⁻⁶ with 10⁻⁶ cancel هذي الله سهل عليها هذي بصير + +447 +00:32:57,450 --> 00:33:02,210 +2 و هذي بصير 5 مظبوط ولا لأ هذي بصير 4 + +448 +00:33:08,620 --> 00:33:15,820 +أدربوا دور التبادل بصير 5x2 equal to 8 minus 8x + +449 +00:33:15,820 --> 00:33:24,340 +plus 2x تربية فبصير بهذا الشكل رتبها طبعا هذه x + +450 +00:33:24,340 --> 00:33:27,880 +تربية و هذه x تربية لما احنا هادي مديها هناك و + +451 +00:33:27,880 --> 00:33:32,420 +الرتب كل معادلة فبصير عندى معادلة 3x2 plus 8x + +452 +00:33:32,420 --> 00:33:37,000 +minus 8 equal to 0معادلة من الدرجة التانية في + +453 +00:33:37,000 --> 00:33:39,880 +معادلة عامة لحلها صح ولا لا طبعا احنا بنعرف ان في + +454 +00:33:39,880 --> 00:33:43,520 +بعض المعادلات بنحللها لكن مش قضية حللة متحللة في + +455 +00:33:43,520 --> 00:33:46,980 +عندي قانون عام بحيث كل معادلة التبادلية القانون + +456 +00:33:46,980 --> 00:33:50,740 +العام مش حافظه بهم مش موجود في كل الكتب تمام بس + +457 +00:33:50,740 --> 00:33:54,620 +تعرف ان في قانون عشان تدور عليه اما اذا انا احافظ + +458 +00:33:54,620 --> 00:33:58,880 +القانون مش معضلة لو انت كنت نسيه لكن معضلة تقول + +459 +00:33:58,880 --> 00:34:02,320 +هذا كيف بنحلالمعادلة لكن لما تعرف انه لأ والله في + +460 +00:34:02,320 --> 00:34:05,280 +معادلة بتطلع علي أي كتاب و بلاش علي أي كتاب بقيت و + +461 +00:34:05,280 --> 00:34:09,740 +أنت قاعد على ال net و على ال laptop و هو في حضنك + +462 +00:34:09,740 --> 00:34:14,060 +تحط second order equation بتطلعلك المعادلة و + +463 +00:34:14,060 --> 00:34:16,340 +بيجيبلك إياها و بتجيبها يعني بمعنى أخر بس ليه أعرف + +464 +00:34:16,340 --> 00:34:19,700 +انه كيف كانت الحال تحكي ممكن نجيب الجدر الترميه + +465 +00:34:19,700 --> 00:34:24,320 +على الطرفين يعني بدون .. + +466 +00:34:24,320 --> 00:34:32,060 +إذا بتجيبها مالك حكم المالكة بدون امتحاناتلأ بروح + +467 +00:34:32,060 --> 00:34:34,180 +التربيه مع التربيه لما .. ان هو تربيه و اين هو + +468 +00:34:34,180 --> 00:34:39,040 +التربيه التالي بتروحه .. اما + +469 +00:34:39,040 --> 00:34:41,200 +تبقى بتاخد جزء التربيه اللي هتغلقه .. من فوق و من + +470 +00:34:41,200 --> 00:34:43,700 +فوق .. تمام .. اه من أول و من فوق .. اه يعني x + +471 +00:34:43,700 --> 00:34:46,300 +بيساوي two minus x بس بتحتاج تاخد جزء التربيه على + +472 +00:34:46,300 --> 00:34:49,040 +خمسة أو اتنين .. اه تمام .. اه فكرت ان انت بتلعب + +473 +00:34:49,040 --> 00:34:54,160 +في تحت .. اه من أول .. تمام .. خلنا ..عندك محل + +474 +00:34:54,160 --> 00:34:58,120 +بتطلع شباب بس طبعا هناك حاجات ينسوا الشغل معايا مش + +475 +00:34:58,120 --> 00:35:01,680 +مشكلة بتجيبها إذا انتبهت في عندي حلين شباب طلعوا + +476 +00:35:01,680 --> 00:35:04,340 +الحلين إيش بتطلعوهم واحد positive واحد negative + +477 +00:35:04,340 --> 00:35:07,960 +طبعا أنتوا عارفين لو كان هذا زمن سلب بترضه ولا لأ + +478 +00:35:07,960 --> 00:35:13,860 +لأنه منطقيا مافيش زمن سلبهنا عندي جوابين هدول X X + +479 +00:35:13,860 --> 00:35:17,040 +ممكن تكون موجبة وممكن تكون سالبة بحسب رسمتي ال + +480 +00:35:17,040 --> 00:35:21,740 +origin هي أول حمره على أيدي الشمال صح ولا لأ؟ لما + +481 +00:35:21,740 --> 00:35:25,100 +تقوللي X سالبة معناته وين هذه الزجاجة واجعة؟ على + +482 +00:35:25,100 --> 00:35:30,300 +يسار Q2 ولا لأ؟ انت فين كانيها؟ لأ لأ إذا ال + +483 +00:35:30,300 --> 00:35:34,680 +second solution is not acceptableليش؟ لأنه هناك ال + +484 +00:35:34,680 --> 00:35:37,940 +two forces are in the same direction إذا بيقوللي + +485 +00:35:37,940 --> 00:35:41,880 +the second solution اللي هو السالب is not + +486 +00:35:41,880 --> 00:35:46,920 +acceptable since at a point to the left لأنه + +487 +00:35:46,920 --> 00:35:52,800 +بيقوللي لما تكون x سالبة معناته هنا صارت هاديو هنا + +488 +00:35:52,800 --> 00:35:58,180 +لما تكون هذه سلبة بتكون هي قوة والتاني هيها صحيح + +489 +00:35:58,180 --> 00:36:02,060 +اللي هنا؟ و هل في هذا الموضوع ممكن الفوز تكون + +490 +00:36:02,060 --> 00:36:06,730 +zero؟لا، إذن فالسلوك الثاني ليس مقبولًا، لأن في + +491 +00:36:06,730 --> 00:36:11,790 +نقطة نحو الـQ2، الاتصالين ستكون في نفس الاتصال، و + +492 +00:36:11,790 --> 00:36:14,090 +لذلك لا يمكن أن يكون هناك نقطة أزرع على الإطلاق، + +493 +00:36:14,090 --> 00:36:17,290 +حتى لو كانت مجموعاتها متساومة، إذا ان الجواب + +494 +00:36:17,290 --> 00:36:25,810 +الوحيد هو X بساوي 0.78 متر، إذا أنا محددت X، احكي، + +495 +00:36:27,540 --> 00:36:31,400 +أه زي ما انا حكيتلك في الأول أنه لو كانت بدل ما + +496 +00:36:31,400 --> 00:36:33,680 +تكتب positive واحدة positive واحدة negative إذا + +497 +00:36:33,680 --> 00:36:37,400 +لازم الشحنة تكون برا لا positive لا negative إذا + +498 +00:36:37,400 --> 00:36:40,480 +في عندي حليل لا positive لا negative لأنه ممكن + +499 +00:36:40,480 --> 00:36:45,890 +تكون برا هناصح؟ ماعنده X موجة بقى، طب و برة هنا X + +500 +00:36:45,890 --> 00:36:48,750 +سالي بقى، إذا انت تلقي لهم معنى، طبعا بده أطلع + +501 +00:36:48,750 --> 00:36:51,090 +عايش لبعنى التاني و أشوف هو صح ولا لأ، إذا ممكن ما + +502 +00:36:51,090 --> 00:36:54,570 +زال برة، في الحالتين برة، positive برة، بس بتكون + +503 +00:36:54,570 --> 00:36:57,510 +أكثر من 2، عايش أن تكون برة، X لازم تكون two point + +504 +00:36:57,510 --> 00:37:00,890 +كذا أو أربعة أو سالب، حتى لو سلب أو point one، + +505 +00:37:00,890 --> 00:37:04,750 +ممكن تكون، إذا ممكن الحالين يكونهم معنى فيزيائي، + +506 +00:37:04,750 --> 00:37:06,570 +كنت عليها؟ تمام، غيره؟ + +507 +00:37:12,530 --> 00:37:16,810 +لأ، سنة شوية، وقتش بتكون بالنص في الظابط، بينهم + +508 +00:37:16,810 --> 00:37:21,210 +جزاك، براو عليك، لكن وقتش بتكون بالنص في الظابط، + +509 +00:37:21,210 --> 00:37:27,790 +لما يكون التثريتين متساويات، أه مزالك + +510 +00:37:27,790 --> 00:37:31,790 +تنتين متشابهات، مش متشابهات بالضرورة، مش متشابهات، + +511 +00:37:31,790 --> 00:37:34,990 +متشابهات، يعني لو تبتد صليبات تفس القضية، بتكون + +512 +00:37:34,990 --> 00:37:37,650 +الشخص التالتة في النص، مش في النص بالظبط، in + +513 +00:37:37,650 --> 00:37:41,190 +between يعني، in between في النص، تمام، أقرأأما + +514 +00:37:41,190 --> 00:37:44,570 +لما يكونوا الشحنتين opposite بيكون الشحنة التالتة + +515 +00:37:44,570 --> 00:37:47,850 +عشان تكون ال equilibrium برا طبعا على يمين ولا على + +516 +00:37:47,850 --> 00:37:51,470 +يسار بيعتمد على ال magnitude تمام لما تكون أجرب + +517 +00:37:51,470 --> 00:37:56,630 +لان كبيرة صغيرة مع صغيرة أجرب لصغيرة صحيح تبع + +518 +00:37:56,630 --> 00:38:03,310 +السؤال الآخر هذا سؤال عادي جرات أن ال force is + +519 +00:38:03,310 --> 00:38:09,040 +given and we find the distance مش أكترتمام احنا + +520 +00:38:09,040 --> 00:38:12,780 +حكينا في البداية ان الـelectric force is a force + +521 +00:38:12,780 --> 00:38:16,300 +ايش يعني force؟ يعني نطبق عليها جميع قوانين + +522 +00:38:16,300 --> 00:38:19,860 +الـNewton صح ولا لا؟ بدأ موهاجي المعلومة عشان ما + +523 +00:38:19,860 --> 00:38:25,260 +اتضلاش هيكي زمائية مجردة جلي بدي ارجعك لفيزي ألف + +524 +00:38:25,260 --> 00:38:30,120 +بسؤال واطبق عليها قوانين الـNewton فهي السؤال + +525 +00:38:30,120 --> 00:38:35,030 +التالت ايش السؤال التالت بيقول؟يقولي two identical + +526 +00:38:35,030 --> 00:38:39,870 +charge spheres كورتين شباب لكن هذين الكورتين ليس + +527 +00:38:39,870 --> 00:38:44,840 +عندهidentical يعني لهم نفس الحاجة نفس الكتلة نفس + +528 +00:38:44,840 --> 00:38:50,100 +الشحنة كل حاجة identical each of mass thirty gram + +529 +00:38:50,100 --> 00:38:54,780 +تلاتين جرام and its charge Q كل واحدة فيهم شحناتها + +530 +00:38:54,780 --> 00:39:00,720 +Q زي بعض يعني are hanged in equilibrium ومعلجين + +531 +00:39:00,720 --> 00:39:07,070 +ومتزنين الاتزان أخدناه له شروطهوالشروط التلاتة + +532 +00:39:07,070 --> 00:39:11,570 +تبعته ان the sum of f x equal to zero the sum of f + +533 +00:39:11,570 --> 00:39:14,410 +y equal to zero and the torque about any point + +534 +00:39:14,410 --> 00:39:19,110 +must be zero صح ولا لأ تمام نرسم الرسمة بقول the + +535 +00:39:19,110 --> 00:39:22,330 +length of each string طبعا مربطين بحبل هدول + +536 +00:39:22,330 --> 00:39:27,790 +الكورتين طول كل حبل 0.15 متر والزاوية اللي بيعملها + +537 +00:39:27,790 --> 00:39:33,740 +الحبل خمس درجات هدا هي هاي الكورتين الحمرطبعا كمان + +538 +00:39:33,740 --> 00:39:37,740 +مرة ممكن يكونوا تنتين زرق؟ ممكن ممكن تكونوا واحدة + +539 +00:39:37,740 --> 00:39:40,380 +حمرا و واحدة زرقا و تكونوا معالجين هناك؟ لأ لأ لأ + +540 +00:39:40,380 --> 00:39:43,820 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +541 +00:39:43,820 --> 00:39:44,240 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +542 +00:39:44,240 --> 00:39:44,480 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +543 +00:39:44,480 --> 00:39:45,540 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +544 +00:39:45,540 --> 00:39:47,300 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ ل + +545 +00:39:51,000 --> 00:39:54,400 +هدول in equilibrium طول الحابلين و الصمم الحابلين + +546 +00:39:54,400 --> 00:39:58,220 +و الخطوط هدول الملجطين مسافات مش أكتر الزاوية بعد + +547 +00:39:58,220 --> 00:40:02,620 +ما اتنافروا طبعا هم اتنافروا لأنهم متشابهات بعد ما + +548 +00:40:02,620 --> 00:40:06,060 +اتنافروا مالونهم زاوية جاس الزاوية لجوها five + +549 +00:40:06,060 --> 00:40:10,310 +degreeجيلي او جيت شحنة هذه القرار طبعا اي واحدة + +550 +00:40:10,310 --> 00:40:14,290 +منهم ممكن تهم qq مظبوط ولا لأ عشان اشتغل وفيه + +551 +00:40:14,290 --> 00:40:17,170 +equilibrium بدي ارسم ال free body diagram صح ولا + +552 +00:40:17,170 --> 00:40:20,910 +لأ عشان اقول the sum of fx و the sum of fy بدي ال + +553 +00:40:20,910 --> 00:40:25,910 +forces لأ لأ نرسم و نحل بقول هذي خلّي المسافة 2A + +554 +00:40:25,910 --> 00:40:30,950 +عشان انه هذي ايه شباب من هالهد و هذي ايه يعني هي + +555 +00:40:30,950 --> 00:40:38,130 +ايه و هذي ايهماشي طبعا a بقدر اجيبها لان sin θ + +556 +00:40:38,130 --> 00:40:46,810 +بتسوي a على o.15 ولا لأ sin θ بتسوي a over o.15 + +557 +00:40:46,810 --> 00:40:54,630 +يعني من هنا a بتسوي o.15 في sin θ وثمانية هي five + +558 +00:40:54,630 --> 00:40:57,750 +اذا a ممكن اجيبها يعني انا مش فاكر ايش بدنا ايها + +559 +00:40:57,750 --> 00:41:03,490 +تمامهلجيت بقول لي let it is enough to study the + +560 +00:41:03,490 --> 00:41:06,050 +equilibrium state of one of the spheres بدي انا + +561 +00:41:06,050 --> 00:41:09,670 +اركز على واحدة من ال sphere بتكفيني ال free body + +562 +00:41:09,670 --> 00:41:11,950 +diagram of the left sphere ال left sphere اللي + +563 +00:41:11,950 --> 00:41:15,930 +هناك ركزوا عليها و نشوف إيش عليها قوة الشباب طبعا + +564 +00:41:15,930 --> 00:41:19,610 +احنا في زيالة كنا أول قوة ما ننساهاش الشيا الوزن + +565 +00:41:19,610 --> 00:41:24,050 +صح ولا لأ كيف اتجاه الوزن directly downward صحيح + +566 +00:41:24,050 --> 00:41:25,390 +إلى أسفل يلا نرسم + +567 +00:41:28,500 --> 00:41:32,720 +high lift sphere high mg صح ولا لأ؟ زي ما حكت + +568 +00:41:32,720 --> 00:41:36,840 +منكم، في شد، في حبل، مبين، طبعا؟ ال normal force + +569 +00:41:36,840 --> 00:41:40,680 +منينها؟ ليش؟ ليش ال normal force هي؟ محطوطة على + +570 +00:41:40,680 --> 00:41:46,120 +سطح هي؟ ولا معلجة؟ ال normal force due to a + +571 +00:41:46,120 --> 00:41:50,260 +surface، we don't have any surface here، طبعا؟ ال + +572 +00:41:50,260 --> 00:41:54,820 +T زي ما انتوا شايفينه، سيني ولا صاضي؟نحن لدينا 2 + +573 +00:41:54,820 --> 00:41:58,900 +جزئين و بالتالي بدي تحليل ايش القوة الجديدة اللي + +574 +00:41:58,900 --> 00:42:03,120 +اتت عليها؟ ايش اللي خلّاه يبعد عن بعضنا؟ نحن لدينا + +575 +00:42:03,120 --> 00:42:08,320 +قوة إلكتريكية، فهي القوة التالتة الجديدة اللي اتت + +576 +00:42:08,320 --> 00:42:11,960 +عندي وهي القوة المسؤولة انهم يبعدوا عن بعضهم، وانه + +577 +00:42:11,960 --> 00:42:16,170 +طبيعتهم يعالجهم يكونوا ملازجين بعضصح ولا لأ؟ إذن + +578 +00:42:16,170 --> 00:42:19,910 +هذه الـ three forces acting on any of the two + +579 +00:42:19,910 --> 00:42:23,910 +spheres تمى؟ عشان أطبق الآن بالدي أو we have to + +580 +00:42:23,910 --> 00:42:29,750 +resolve the tension هاي تحليله طبعا واضح عنكم اللي + +581 +00:42:29,750 --> 00:42:34,610 +الشد هنا هو نفسه هذه الزاوية ولا لأ؟ إذن هذي فيتا + +582 +00:42:34,610 --> 00:42:40,750 +ولا مفيتا؟ بالتبادل صحيح ولا لأ؟ طيب إذن عشان أحلي + +583 +00:42:40,750 --> 00:42:45,380 +بدي أقول T كصينة فيتا ولا لأ؟و هنا T sin θ راحة ال + +584 +00:42:45,380 --> 00:42:52,700 +T تحلنا الان بدي اطبق شرطي التوازن بقول applying + +585 +00:42:52,700 --> 00:42:58,480 +the equilibrium condition we obtain أول واحدة the + +586 +00:42:58,480 --> 00:43:01,280 +sum of F x equal to zero this is the first + +587 +00:43:01,280 --> 00:43:06,040 +condition of equilibrium هجد أكم قوة سينية موجودين + +588 +00:43:06,040 --> 00:43:12,190 +شبابوحدة موجبة وحدة سلبة و لا لا تي صين الزاوية + +589 +00:43:12,190 --> 00:43:17,750 +minus fe equal to zero و لا لا بمعنى آخر تي صين + +590 +00:43:17,750 --> 00:43:26,330 +الثيتا equal fe هاي أول معادلة تمام المعادلة + +591 +00:43:26,330 --> 00:43:30,830 +التانية اللي هي ال y components must be zero fy + +592 +00:43:30,830 --> 00:43:36,390 +the sum of fy must equal to zero again we have two + +593 +00:43:38,170 --> 00:43:41,710 +Force is in the Y-direction T cos θ positive and + +594 +00:43:41,710 --> 00:43:47,870 +Mg is negative بمعنى أخر Mg equal T cos θ الشباب + +595 +00:43:47,870 --> 00:43:52,890 +واضح؟ متابعين معاه؟ تمام؟ حلو؟ هذي T ماديليش + +596 +00:43:52,890 --> 00:43:59,010 +قيمتها Mg أعطاني M و G بعرفها صح ولا لأ؟ F E مخبى + +597 +00:43:59,010 --> 00:44:03,670 +جواها Q اللي بديهاه صح ولا لأ؟ الـQ جوا F E لإن هو + +598 +00:44:03,670 --> 00:44:09,050 +بده Q خلاص إذا أنا مش لازم اتT بديش ياهو مش معطية + +599 +00:44:09,050 --> 00:44:13,390 +sin θ معطية جسم المعادلة بينها على بعض divide + +600 +00:44:13,390 --> 00:44:16,050 +equation one and two بتروح ال T و لا بتروحش ال T + +601 +00:44:16,050 --> 00:44:20,690 +ممكن تفسر قمة T من المعادلة التانية تظبط بس عاجبك + +602 +00:44:20,690 --> 00:44:25,360 +تشيل في هالشغل أسهل لها طبعا طريقةلما اجسم one + +603 +00:44:25,360 --> 00:44:28,520 +over two بتطلع عندى تانى الزاوية و لا لأ و بتصير F + +604 +00:44:28,520 --> 00:44:32,500 +E على M G dividing equation one by equation two we + +605 +00:44:32,500 --> 00:44:38,740 +obtain صار عندى تانى الزاوية بتساوي F E على M G F + +606 +00:44:38,740 --> 00:44:44,240 +E بتساوي M هدى في خطأ هنا تلاتين في عشر و نصر + +607 +00:44:44,240 --> 00:44:48,660 +بتلاتة يعني إما بتعملوا هدى و بتجيبوا هدى أو + +608 +00:44:48,660 --> 00:44:51,140 +بتكليوها تلاتين في عشر و نصر بتلاتة لإن أنا بتحول + +609 +00:44:51,140 --> 00:44:54,740 +اجرام ل kilogram شباب تمامالخطأ المطبعي هو 30 في + +610 +00:44:54,740 --> 00:45:01,220 +10 أقل سالب 3 درب + +611 +00:45:01,220 --> 00:45:06,060 +G 9.8 في تان ال 5 + +612 +00:45:08,570 --> 00:45:14,690 +بيطلع ال 2.6 X 10⁻² لـ Newton هذي F E طيب F E كلوم + +613 +00:45:14,690 --> 00:45:20,390 +حكاري إنه تساوي K Q1 في Q2 على مربع المسافة اللي + +614 +00:45:20,390 --> 00:45:24,550 +بينهم ولا لأ طبعا خلينا نرجع The magnitude of the + +615 +00:45:24,550 --> 00:45:27,490 +electric force F E is obtained from columns low as + +616 +00:45:27,490 --> 00:45:31,310 +هذه المسافة لزمتني الآن إيه يا شباب هل المسافة بين + +617 +00:45:31,310 --> 00:45:38,790 +ال 2 charges هي ال 0.15 متر لأ ولا هي ال 2Aوانا + +618 +00:45:38,790 --> 00:45:42,230 +اتنين a جبتها هي ال a موجودة صحيح ولا لأ اذا + +619 +00:45:42,230 --> 00:45:47,930 +المعناته fe بتسوى k اكيو فكيو صارت كيو تربيع مظبوط + +620 +00:45:47,930 --> 00:45:51,530 +ولا لأ على ار تربيع طبعا زي ما حكيناه اتنين حمر او + +621 +00:45:51,530 --> 00:45:53,710 +اتنين زرق مفرجش معايا انا مااخدت absolute value في + +622 +00:45:53,710 --> 00:45:57,430 +الآخر تمام؟ وبالتالي خليت ال absolute value موجودة + +623 +00:45:57,430 --> 00:46:07,790 +تمام knowing that R هي اتنين aو a is equal to 0.15 + +624 +00:46:07,790 --> 00:46:19,250 +sin 5 و طلعت 0.013 و طبق و we get q إجازة تربيعي + +625 +00:46:19,250 --> 00:46:23,470 +هادي في هادي على هادي صح ولا لأ طلعتها طلعت 4.4 + +626 +00:46:23,470 --> 00:46:28,010 +10⁻8 كلهم طبعا positive or negative مابتعننيش أنا + +627 +00:46:28,010 --> 00:46:30,210 +ما جاي بال absolute value ممكن التنتين يكونوا + +628 +00:46:30,210 --> 00:46:34,650 +positive و ممكن التنتين يكونوا negativeطبعا شباب + +629 +00:46:34,650 --> 00:46:40,810 +في ISA اذا ان انا حليت تلت امثلة مختلفة على ال + +630 +00:46:40,810 --> 00:46:47,550 +forces الشغل الشائعة انه يديك pointy charges ويطلب + +631 +00:46:47,550 --> 00:46:51,490 +منك حساب ال force على واحدة منهم هذا المثال الأول + +632 +00:46:51,490 --> 00:46:55,150 +وهو الشائعة الشغل التاني ممكن يلعب بالأسئلة انه + +633 +00:46:55,150 --> 00:46:59,360 +يقولك والله انا في عندي شحنةالـ net force عليها + +634 +00:46:59,360 --> 00:47:02,660 +مُعطَزِرُ أو أي مقدار، ودي بلي مسافات، في النهاية + +635 +00:47:02,660 --> 00:47:06,060 +نفس المبدأ، أنا بجيب forces و بجمعهم و بجيبهم + +636 +00:47:06,060 --> 00:47:11,020 +قيمتهم مجددش الشغل التالتة أن هذه ال force ينطبق + +637 +00:47:11,020 --> 00:47:15,230 +عليها قوانين النيوتن التلاتةوبالتالي بدأت تتحرك + +638 +00:47:15,230 --> 00:47:20,270 +يسكن فيها اتزان تتزن مع الشد تتزن مع Mg كلها + +639 +00:47:20,270 --> 00:47:26,110 +بتنجمع مع all the kind of forces مع friction مع Mg + +640 +00:47:26,110 --> 00:47:29,870 +مع tension مع normal force أي إن كانت ال force + +641 +00:47:29,870 --> 00:47:32,970 +موجودة ما هي force واحدتها نيوتن with a vector + +642 +00:47:32,970 --> 00:47:36,410 +quantity زيها زي أي force و اتعاملنا ان كيف ممكن + +643 +00:47:36,410 --> 00:47:40,890 +نتعامل معاها بنفس شغل physics a ال mechanics و + +644 +00:47:40,890 --> 00:47:48,970 +اتعامل معاها بهذه الكيفيةتمام عنواننا الجديد هيكون + +645 +00:47:48,970 --> 00:47:54,510 +المجال الكهربائي electric field electric field + +646 +00:47:54,510 --> 00:47:59,070 +كلمة field مرت علينا بمجال الجذب العادل مجال + +647 +00:47:59,070 --> 00:48:04,450 +الجاذبية الأرضية عشان نسمع فيها هيكون كل جسم بتأثر + +648 +00:48:04,450 --> 00:48:08,880 +في جاذبية الأرض حتى لو ماكانش في مجالهاإذا لازم + +649 +00:48:08,880 --> 00:48:14,220 +يكون في مجالها صح ولا لا طيب حكينا توي انه انا في + +650 +00:48:14,220 --> 00:48:26,780 +عندى هنا Q1 و هنا Q2 حاجة Q2 تتأثر بـ Q1 بقوة صح + +651 +00:48:26,780 --> 00:48:32,360 +ولا لا حلو الـ Q2 ابعدها شوية هتخفر التأثير صح ولا + +652 +00:48:32,360 --> 00:48:35,200 +لا ابعدها كمان شوية ممكن بعض اللحظة يكون التأثير + +653 +00:48:35,200 --> 00:48:39,940 +يسوي 0لما تبقى J وصير صفر بقول الـQ2 بطل اتوقع في + +654 +00:48:39,940 --> 00:48:46,620 +مجال الـQ1 صح ولا لأ؟ اذا الـQ2 هادى عشان تتأثر + +655 +00:48:46,620 --> 00:48:52,440 +بـQ1 لابد انها تقع في مجالها صح ولا لأ؟ يعني كل + +656 +00:48:52,440 --> 00:48:57,870 +شحنة لها مجالكل شحنة إلها مجال هذا المجال ما هوش + +657 +00:48:57,870 --> 00:49:01,250 +مجال جاذب زي جاذبية أرضية مجال كهربائي لأنه بدي + +658 +00:49:01,250 --> 00:49:05,150 +تتأثر بقوة مش قوة جاذب قوة قهربية إذا هذا المجال + +659 +00:49:05,150 --> 00:49:09,510 +بسميه مجال كهربائي إذا الآن في عند كمية جيدة شباب + +660 +00:49:09,510 --> 00:49:13,310 +بدي نتعرف عليها هي المجال الكهربائي or the + +661 +00:49:13,310 --> 00:49:15,730 +electric field بنبدأ بالتالي + +662 +00:49:18,610 --> 00:49:23,030 +بيقولي any charge has its own electric field + +663 +00:49:23,030 --> 00:49:27,950 +within a region surrounding that charge يعني أنا + +664 +00:49:27,950 --> 00:49:32,030 +كل شحنقلها مجالها المجال تبعها بيكون بعيد عنها ولا + +665 +00:49:32,030 --> 00:49:35,850 +حواليهاحواليها، يعني في المنطقة اللي هو فيها، شحنة + +666 +00:49:35,850 --> 00:49:38,470 +موجودة في غزة، مجالها مش هيكون في قانوني، في غزة، + +667 +00:49:38,470 --> 00:49:42,630 +حواليها، صح ولا لأ؟ ثم هيتحدى مجالها اللي في غزة، + +668 +00:49:42,630 --> 00:49:45,870 +بدي يصل جباليا أو بدي يصل بس باب الجامعة، بعتمد + +669 +00:49:45,870 --> 00:49:49,390 +على شغلات كتيرة، صح ولا لأ؟ كل ما كبرت الشحنة، كل + +670 +00:49:49,390 --> 00:49:52,770 +ما المجال تبح بكبر، هذا المنطق، صح ولا لأ؟ إذا في + +671 +00:49:52,770 --> 00:49:57,350 +مجال، هجيت أي شحنة غريبة تجعل في المجال، بيأثر + +672 +00:49:57,350 --> 00:50:01,190 +بيها، صح ولا لأ؟ كيف أنا بدي أعرف إن في الغرفة هذه + +673 +00:50:01,190 --> 00:50:04,270 +في مجال كهربائي ولا لأ؟ايه هسوي؟ + +674 +00:50:07,140 --> 00:50:11,240 +بدي أجيب شحنة خارجية و أحطها في هالغرفة اتحركت + +675 +00:50:11,240 --> 00:50:14,620 +بقولوا إيه إيش الحركة في مجال كهربائي صح ولا لأ و + +676 +00:50:14,620 --> 00:50:17,060 +الله وإيه ما حطيتها ضلت قاعدة و ساقتة و عاجلة بقول + +677 +00:50:17,060 --> 00:50:20,380 +ماعرفت مافيش حاجة أثر عليها مافيش مجال كهربائي إذن + +678 +00:50:20,380 --> 00:50:23,440 +أنا بقدر أفحص إنه في مجال أو مافيش مجال إن أشوف + +679 +00:50:23,440 --> 00:50:27,400 +القوة الشحنة الغريبة تتحرك أو ماتتحركش يعني عليها + +680 +00:50:27,400 --> 00:50:31,600 +قوة كهربية و أنا ماعليهاش قوة كهربية إذن المجال + +681 +00:50:31,600 --> 00:50:36,740 +بعرفه بقوة إنه في قوة على شحنة غريبة ولا مافيش قوة + +682 +00:50:36,910 --> 00:50:40,110 +هذا اللي بنتعامل معه و احنا عارفين دائما الشغل + +683 +00:50:40,110 --> 00:50:44,610 +الجديدة لازم تعرف بشغل انا عارفها و انا الشغل + +684 +00:50:44,610 --> 00:50:47,190 +الوحيد حتى اللي انا عارفها هي القوة الكهربية صح + +685 +00:50:47,190 --> 00:50:50,230 +ولا لأ؟ بالتالي لابد من تعريف المجال الكهربائي + +686 +00:50:50,230 --> 00:50:55,310 +بدلالة القوة الكهربية تمام، أنا عارف هاي بتعريف + +687 +00:50:55,310 --> 00:51:00,270 +بيقولي the electric field رمزه E شباب ال force ايش + +688 +00:51:00,270 --> 00:51:05,070 +رمزها؟الكمية الجديدة رمزها E طبعا ما زالت دوها رمز + +689 +00:51:05,070 --> 00:51:09,010 +مختلف إذا ان هي كمية مختلفة ماهياش force the + +690 +00:51:09,010 --> 00:51:13,290 +electric field E و E is a board عشان يديني دلالة + +691 +00:51:13,290 --> 00:51:16,010 +إن هذه الكمية الفيزيائية الجديدة vector ولا scalar + +692 +00:51:16,010 --> 00:51:23,770 +ال board لمن نعطيه لل vectorال bold الرمز معناته + +693 +00:51:23,770 --> 00:51:28,090 +الكمية اللي رمزها bold معناته vector بدل ما نكتب + +694 +00:51:28,090 --> 00:51:32,830 +في الكتابة بنكتب E و بنحط هيك صح ولا لا هذه vector + +695 +00:51:32,830 --> 00:51:36,530 +واتفقنا في الكتب بطلوا يحطوا هذه الشغلة اعتمدوا ال + +696 +00:51:36,530 --> 00:51:43,620 +boldThe vector field E at a point، عند نقطة ما، + +697 +00:51:43,620 --> 00:51:46,140 +طبعا إحنا ما حكينا إنه في عندي، أنا هنا شحنة، + +698 +00:51:46,140 --> 00:51:48,860 +مانعتها هنا في مجال، و هنا في مجال، و هنا في مجال، + +699 +00:51:48,860 --> 00:51:52,240 +و هنا في مجال، صح ولا لأ؟ طبعا بختلف شدة المجال من + +700 +00:51:52,240 --> 00:51:55,160 +نقطة لنقطة، كل ما ابعدت كل ما المجال جالب، كل ما + +701 +00:51:55,160 --> 00:51:58,440 +قربت كل ما المجال زاد، إذا أنا بقيس المجال عند + +702 +00:51:58,440 --> 00:52:02,070 +نقطة ما، حاجات أنا هنافي مجال ولا مافيش مجال؟ إيش + +703 +00:52:02,070 --> 00:52:05,850 +بنسوي؟ بنجيب شحنة ونحطها هنا، صح ولا لأ؟ اتحركت، + +704 +00:52:05,850 --> 00:52:08,910 +بقول في مجال، مااتحركتش، بقول مافيش مجال، مشكلة + +705 +00:52:08,910 --> 00:52:12,430 +اتفقنا؟ إذا كيف بدي أعرف؟ بيقول الـelectric field + +706 +00:52:12,430 --> 00:52:16,770 +E at a point in space في الفرق is a vector + +707 +00:52:16,770 --> 00:52:20,160 +quantityإذا الكمية اللي بتعرف عليها is a vector + +708 +00:52:20,160 --> 00:52:25,320 +quantity defined as تعرف علي إنها the electric + +709 +00:52:25,320 --> 00:52:31,300 +force القوة القهربية التي تؤثر acting on a + +710 +00:52:31,300 --> 00:52:36,120 +positive small tested charge q0قالوا هذه الـ + +711 +00:52:36,120 --> 00:52:38,780 +charge اللي بتعمل عليها test عشان انا بدي أعرف + +712 +00:52:38,780 --> 00:52:42,320 +تعريف common كل الناس تكون متفقة عليه قالوا يا + +713 +00:52:42,320 --> 00:52:45,700 +علماء نتفق ال test is charge خلّيه positive بديش + +714 +00:52:45,700 --> 00:52:48,560 +حد يقولي بدي أجيبلي شحنة صالبة اعمل test عليها مش + +715 +00:52:48,560 --> 00:52:52,880 +هتفقنا عشان انا اعمل test انه if we have an + +716 +00:52:52,880 --> 00:52:56,440 +electric field or not we have to test on a tested + +717 +00:52:56,440 --> 00:52:59,200 +charge بدي أجيب شحنة طبعا الشحنة ممكن تكون + +718 +00:52:59,200 --> 00:53:01,440 +positive وممكن تكون negative عشان يصيحي common + +719 +00:53:01,440 --> 00:53:05,830 +وتوحيد بالمفهوم قالوا اتفقواعلى ان ال test شجعيش + +720 +00:53:05,830 --> 00:53:10,350 +بيكون positive اتفاق مش اكتر اذا بدي اجيب force + +721 +00:53:10,350 --> 00:53:16,360 +بدي اجيب شحنة chargepositive و small سموها test + +722 +00:53:16,360 --> 00:53:20,880 +charge شحنة انه اختبار الـ Q not ادوها رمز a place + +723 +00:53:20,880 --> 00:53:23,780 +at that point بعدين بيقولي بعد ما انت شفت حاطيتها + +724 +00:53:23,780 --> 00:53:27,680 +و لاجيتها اتحركت ايش قلت؟ في مجال بعد كده الشحنة + +725 +00:53:27,680 --> 00:53:32,000 +بدك اياها بتكاشي اياها الشحنة خلاص قدت المهمة انه + +726 +00:53:32,000 --> 00:53:34,880 +عرفت انه في مجال بعد كده قداشي المجال شغل تانية + +727 +00:53:34,880 --> 00:53:39,940 +بعد كده بيقولي جسم على هذه الشحنة عشان اطيرdivided + +728 +00:53:39,940 --> 00:53:43,260 +by the magnitude of the thesis chart يعني هذا + +729 +00:53:43,260 --> 00:53:48,220 +الكلام ترجمه بيقول E بيساوي force على Q naught + +730 +00:53:52,460 --> 00:54:00,240 +E بتساوي F على Q0 إذا E تعرف على إنها القوة التي + +731 +00:54:00,240 --> 00:54:04,140 +تؤثر على test charge positive و بعدين جسم على test + +732 +00:54:04,140 --> 00:54:06,600 +charge طب على test charge في النهاية بتبين في + +733 +00:54:06,600 --> 00:54:11,760 +الحل؟ لأ مابتجسم عليها في الآخر بتبينش تمام من هنا + +734 +00:54:11,760 --> 00:54:20,080 +شباب بقدر أقول جديش واحدة E إيش واحدة E يعني نيوتن + +735 +00:54:20,920 --> 00:54:25,180 +أكله خلاص و طبعا رابحة انها vector quantity لانه + +736 +00:54:25,180 --> 00:54:27,940 +انا عرفتها ال vector quantity اللي هي ال force و + +737 +00:54:27,940 --> 00:54:30,340 +over scale .. over scale في vector is a vector + +738 +00:54:30,340 --> 00:54:33,020 +صحيح ولا لأ .. اذا ان هي vector quantity زي ما انت + +739 +00:54:33,020 --> 00:54:36,320 +حكينا و هي ايه .. طبعا a q not positive معناته اي + +740 +00:54:36,320 --> 00:54:39,580 +وقت في نفس الاتجاه .. صحيح ولا لأ .. كاتجاه .. + +741 +00:54:39,580 --> 00:54:43,500 +تمام .. طبعا هو بيقول لي ..اللي تقلت الـ tested + +742 +00:54:43,500 --> 00:54:47,300 +charge must be positive أمن عشان نتفق طب ليش جالي + +743 +00:54:47,300 --> 00:54:50,700 +لازم تكون small جالي عشان تكون small لإن انت بدك + +744 +00:54:50,700 --> 00:54:53,920 +المجال في الغرفة و المجال جاي مش منها هذه الشحنة + +745 +00:54:53,920 --> 00:54:56,660 +جاي من شحنات غيرها لما تحطها بديش يأثر على اللي + +746 +00:54:56,660 --> 00:55:00,400 +حواليها عشان كده اعتبرها صغيرة عشان لما أقول حطتها + +747 +00:55:00,400 --> 00:55:05,800 +هنا اللي حواليها ماتأثرش تمام؟ اذا بيقولي the + +748 +00:55:05,800 --> 00:55:08,860 +tested charge should be small enough + +749 +00:55:11,560 --> 00:55:19,300 +لتأكد أن وجودها لا يؤثر على الشحنات التي تنتج E + +750 +00:55:19,300 --> 00:55:23,060 +عشان ما تأثرش على الشحنات اللي أنتجت E أصلاً هي + +751 +00:55:23,060 --> 00:55:26,080 +هاتيكست الشجرة خطوطها صغيرة بس بديها تشوف اتحركت + +752 +00:55:26,080 --> 00:55:29,720 +او ما اتحركتش و بس مجدش مقدارها مجدش يكون كبير ولا + +753 +00:55:29,720 --> 00:55:32,960 +بيأثرلي على كل المنطقة اللي أنا قاعد معنى فيها و + +754 +00:55:32,960 --> 00:55:39,100 +أجيب مجالها تم انا فهمنا + +755 +00:55:41,290 --> 00:55:44,830 +إنه عشان أعرف إنه في مجال كهرباية شباب بدي أجيب + +756 +00:55:44,830 --> 00:55:48,710 +شحنة الشحنة اتأثرت بقوة إذا في مجال ولا مافيش + +757 +00:55:48,710 --> 00:55:53,930 +مجال؟ في مجال طيب حكيت لو واحد حكالي إنه أنا حطيت + +758 +00:55:53,930 --> 00:55:58,390 +شحنة واتحركت كيف بدي أجيب القوة اللي عليها؟ هي + +759 +00:55:58,390 --> 00:56:00,790 +اتحركت إذا عليها قوة ولا ما شاء الله ليها قوة؟ كيف + +760 +00:56:00,790 --> 00:56:04,150 +أجيب القوة؟ قال ليش بدي أجيب القوة؟ هي القانون أف + +761 +00:56:04,150 --> 00:56:08,920 +إيش بيساوي؟ EQصح ولا لا؟ إذن خلاص بدل ما أنا أغلب + +762 +00:56:08,920 --> 00:56:13,120 +حالي وهذه بجيبها يعني بمعنى آخر لو المثال السابق + +763 +00:56:13,120 --> 00:56:16,700 +هذا عشان + +764 +00:56:16,700 --> 00:56:23,900 +حاطينا Q أظن 2 وQ3 وQ1 وقولنا هنا في قوة جاي من + +765 +00:56:23,900 --> 00:56:27,200 +هناك 2 كيف ممكن أن أحسبها؟ فأقول هذه Q3 موجودة + +766 +00:56:27,200 --> 00:56:31,810 +عندك طالع مش موجودةفيها مجال بقولوا اه فيها مجال + +767 +00:56:31,810 --> 00:56:35,910 +هذا مجال جاي من هنا و جاي من هنا لو حسبت E عند + +768 +00:56:35,910 --> 00:56:41,490 +النقطة هذه و ضربت في Q تلاتة تطلع القوة خلاص هي + +769 +00:56:41,490 --> 00:56:45,050 +نفس القضية تمام طبعا حدناها نعرفها بس كده إيش + +770 +00:56:45,050 --> 00:56:49,400 +بيقول ليهSince Q0 is always positive, the + +771 +00:56:49,400 --> 00:56:51,040 +direction of E is the direction of F + +772 +00:57:08,130 --> 00:57:23,090 +أي شحنة محطوطة في نقطة و النقطة هذه لها مجال يعني + +773 +00:57:23,090 --> 00:57:28,150 +لو جيبت E هنا شبابوقال لي اوجد F على Q ثلاثة بقوله + +774 +00:57:28,150 --> 00:57:32,830 +Q ثلاثة في E ليهان بطلع القوة واضح شباب نفس الخضية + +775 +00:57:32,830 --> 00:57:42,070 +تابعوا طيب الآن التعريف فهمته انا عرفت ان كل شحنة + +776 +00:57:42,070 --> 00:57:49,400 +لها مجالها متفقين كل شحنة لها مجالهاكيف أحسبه؟ قال + +777 +00:57:49,400 --> 00:57:53,040 +لي جيب القوة وبعد ما تجيب القوة جسّي معاك You Note + +778 +00:57:53,040 --> 00:57:57,660 +صح ولا لأ؟ طب أنا مضطر اني أعمل هيك؟ ده قال قليلا + +779 +00:57:57,660 --> 00:58:02,770 +اشتقلونيمكنني ان احسب شدة المجال الكهربائي لأي + +780 +00:58:02,770 --> 00:58:07,430 +شحنة ما هو المجال جاي من شحنة طيب بدك تجيبلي قانون + +781 +00:58:07,430 --> 00:58:12,870 +يخليني احسب شدة المجال لأي شحنة تمام مش هقول لو + +782 +00:58:12,870 --> 00:58:17,090 +every charge has its own electric field طب احسبليا + +783 +00:58:17,090 --> 00:58:23,350 +بدي قانون فبقولي يلا نشتغل قانون electric field of + +784 +00:58:23,350 --> 00:58:27,150 +pointed charges لpointed charges تمام كيف بنحسب؟ + +785 +00:58:28,180 --> 00:58:33,400 +خلّينا نشوف لت أسكلكوليت the electric field at a + +786 +00:58:33,400 --> 00:58:37,730 +point PElectric field عند نقطة الماء والنقطة هذه P + +787 +00:58:37,730 --> 00:58:41,270 +والنقطة مافيش عليها شحنات يا شباب هي جانبها شحنات + +788 +00:58:41,270 --> 00:58:45,610 +أما عليها مافيش شحنات من الضرورة تمام arising من + +789 +00:58:45,610 --> 00:58:50,510 +وين جاء المجال ينبع from an isolated point in such + +790 +00:58:50,510 --> 00:58:54,950 +a queue هذا المجال ناتج من شحنة معزولة مافيش غيرها + +791 +00:58:54,950 --> 00:58:57,910 +تمام هذه معناه isolated مافيش غيرها محتوطة لحالها + +792 +00:58:57,910 --> 00:59:02,670 +في الفرار هذه النقطة P a distance R from it يعني + +793 +00:59:04,270 --> 00:59:08,530 +قولنا هذه شحنة تمام؟ حاجات احنا ما زال موجودة شحنة + +794 +00:59:08,530 --> 00:59:11,150 +حسب التعريف تبعنا في المنطقة اللي حواليها في مجال + +795 +00:59:11,150 --> 00:59:15,550 +ولا مافيش مجال؟ في مجال خلاص كل شحنة لها مجال هذه + +796 +00:59:15,550 --> 00:59:18,250 +المجال كبير و لا صغير شغل كانية ممكن يكون كبير و + +797 +00:59:18,250 --> 00:59:21,830 +ممكن يكون صغير لما أقول كبير يعني واسع ولا ديكبمتد + +798 +00:59:21,830 --> 00:59:25,390 +كده؟ هذه شغلة تانية، لكن في مجال، مظبوط ولا لا؟ + +799 +00:59:25,390 --> 00:59:29,530 +أيش مطلوب منه؟ بقول يحسبلي شدة المجال عند نقطة P، + +800 +00:59:29,530 --> 00:59:33,210 +عند نقطة ما؟ سماها P، تبعد مسافة أعلى عن الـQ، أنا + +801 +00:59:33,210 --> 00:59:36,450 +بدي أشتق قانوني الآن، يمكنني من هذه الشغلة، اتفقنا + +802 +00:59:36,450 --> 00:59:39,750 +أنه في مجال، هي مجال، هاجت بمتد أكتر من كده، أقل + +803 +00:59:39,750 --> 00:59:43,850 +من كده، شغلة تانية، مطلوب، أوجد شدة المجال + +804 +00:59:43,850 --> 00:59:46,650 +الكهربائي عند نقطة P، هذه النقطة الخاطرة شباب، + +805 +00:59:46,650 --> 00:59:51,910 +نقطةما هي الشحنة تمام نقطة ما بتحسب شدة المجال + +806 +00:59:51,910 --> 00:59:56,570 +احنا متأكد انه قطعا في مجال ضعيف ولا قوي قضية + +807 +00:59:56,570 --> 00:59:59,290 +تانية بيعتمد على شرايط كتيرة بيعتمد على شحنة Q + +808 +00:59:59,290 --> 01:00:03,050 +كبيرة ولا صغيرة وبيعتمد على R المسافة ما بينهم صح + +809 +01:00:03,050 --> 01:00:07,100 +ولا لا فهو بيقول المسافة دي Rكيف بدي أحسب؟ قال لي + +810 +01:00:07,100 --> 01:00:11,220 +التعريف إيش بيقول؟ بيقول لي جيب test charge صح ولا + +811 +01:00:11,220 --> 01:00:16,620 +لأ؟ حطها عند النقطة B ال test charge هادي بيكون + +812 +01:00:16,620 --> 01:00:19,700 +positive حسب الاتفاق اللي بيعانى و تكون small صحيح + +813 +01:00:19,700 --> 01:00:25,750 +ولا لأ؟ تمام بيقول ليto do so we assume the + +814 +01:00:25,750 --> 01:00:31,330 +existence بدنا نفترض ويود at this charge q0 at + +815 +01:00:31,330 --> 01:00:32,250 +point B + +816 +01:00:35,850 --> 01:00:38,210 +و اذا عملت فتنة تكون positive ولا لا؟ positive + +817 +01:00:38,210 --> 01:00:41,530 +يعني ايش؟ بتكون حمره ولا لا؟ ها .. هاي الشحنة + +818 +01:00:41,530 --> 01:00:44,510 +تبعتي صلات حمره، هاي الشحنة الصلاة دلوقتي أنا + +819 +01:00:44,510 --> 01:00:48,170 +افترضت افتراض صحيح ولا لا تتشاجر و قلت ليش مقدارها + +820 +01:00:48,170 --> 01:00:51,710 +Q naught تمام؟ بعد كده إيش حكالي؟ قاللي أوجد الفرص + +821 +01:00:51,710 --> 01:00:57,560 +عليها أوجد الفرص عليهاQ0 بتتأثر بـQ ولا بتتأثراش + +822 +01:00:57,560 --> 01:01:02,500 +بقوة قانون كلهم بقدر أجيب القوة اللي على Q0 ولا لأ + +823 +01:01:02,500 --> 01:01:05,940 +اه اتعلمت أول حاجة أعملها أجيب ال direction تبع ال + +824 +01:01:05,940 --> 01:01:10,640 +force Q حمرة و Q0 حمرة القوة بين التنفرية و + +825 +01:01:10,640 --> 01:01:15,860 +التجذبية تنفرية يعني أعملها هي القوة صح ولا لأجيب + +826 +01:01:15,860 --> 01:01:18,600 +ال magnitude تبعها قال يجيب ال magnitude و بعدين + +827 +01:01:18,600 --> 01:01:23,340 +تجسمها كيو نوت هاي التعريف شباب تمام بيقوللي الان + +828 +01:01:23,340 --> 01:01:27,620 +from columb's law قانون كلهم اللي بتعرفوا the + +829 +01:01:27,620 --> 01:01:32,060 +force upon the tested charge q naught ال force + +830 +01:01:32,060 --> 01:01:35,840 +اللي بتأثر على q naught بدي أجيب شباب يلا نجيبها + +831 +01:01:35,840 --> 01:01:42,000 +طبعا ك vector بتسوي K Q واحد في Q اتنين على مربع + +832 +01:01:42,000 --> 01:01:45,670 +المسافة بينهم و في R unit vector ك vectorصح ولا + +833 +01:01:45,670 --> 01:01:49,370 +لأ؟ قلت الشحنة الأولى مقدارها Q الشحنة التانية + +834 +01:01:49,370 --> 01:01:52,430 +اللى أنا افترضتها مقدارها Q0 على مربع المسافة اللى + +835 +01:01:52,430 --> 01:01:56,290 +بينهم اللى هى R وفيه R unit vector اللى هى باتجاه + +836 +01:01:56,290 --> 01:02:00,070 +ال unit vector طبعا ال R unit vector هنا اتجاهه + +837 +01:02:00,070 --> 01:02:05,830 +كيف في الرسمة مش بيروح من Q ل Q0 من Q ل Q0 او من Q + +838 +01:02:05,830 --> 01:02:10,620 +لنقطة لأن Q0 النهاية محطت على النقطةطبعا اذا R + +839 +01:02:10,620 --> 01:02:13,620 +unit vector هو اتجاه هذا طبعا عشان مافيش واحد + +840 +01:02:13,620 --> 01:02:16,360 +اتنين احنا متعودين نحط ايا Q واحد و Q اتنين شوف + +841 +01:02:16,360 --> 01:02:18,700 +انا مظبوط ولا لأ انا الان مافيش عندي واحد و اتنين + +842 +01:02:18,700 --> 01:02:24,000 +عندي Q و Q not فR هي ما بين Q و Q not طبعا طلعت هي + +843 +01:02:24,000 --> 01:02:27,760 +بيقولي هجيجيش هجيبت ال force في الآخر عشان يجيب + +844 +01:02:27,760 --> 01:02:32,280 +المجان ايش بكي تسوي انك تجسم على Q not مش بيقولي + +845 +01:02:32,280 --> 01:02:36,580 +ايه بتسوي F على Q not طب هي F جاهزة اجسم على Q not + +846 +01:02:36,580 --> 01:02:37,880 +هي جاهزة + +847 +01:02:40,710 --> 01:02:47,530 +هذا قانوننا الجديد هذا بيجيبلي شدة المجال لأي شحنة + +848 +01:02:47,530 --> 01:02:51,550 +عند نقطة ما و النقطة بتبعد عن الشحنة مسافة R + +849 +01:02:51,550 --> 01:02:55,670 +معروفة صح ولا لأ سبب حاجت هويش حكالي من الأول يقول + +850 +01:02:55,670 --> 01:02:59,870 +every charge has its own electric field every + +851 +01:02:59,870 --> 01:03:05,580 +charge و ال charge مثلا ب Q صح ولا لأأتعني point و + +852 +01:03:05,580 --> 01:03:09,520 +ال point متمثلها R لإن ال point تبعد عن الشحنة ب R + +853 +01:03:09,520 --> 01:03:15,180 +again كل ما بعدت ايش بيصير فيه؟ بتخل منطق و لا مش + +854 +01:03:15,180 --> 01:03:20,920 +منطق؟ منطق لإن R بتزيد معناته E بتخل و كل ما زادت + +855 +01:03:20,920 --> 01:03:24,520 +Q الشحنة بيزيد .. المجال بيزيد و لا بيزيدش برضه + +856 +01:03:24,520 --> 01:03:28,540 +منطق الصيغة طبعا القانون بتشبه قانون كلهم و لا لأ؟ + +857 +01:03:28,540 --> 01:03:33,290 +إذن سهل أحفظهمقانون كلهم كان يحسب ال force between + +858 +01:03:33,290 --> 01:03:36,630 +two charges صح ولا لا؟ المجال بده two charges ولا + +859 +01:03:36,630 --> 01:03:41,110 +كل واحدة لحالها إيه؟ بزمني بس شحنة شحنة واحدة هيها + +860 +01:03:41,110 --> 01:03:44,910 +مش غيرها لإن كل شحنة إلها مجال مافيش داعي أقول q1 + +861 +01:03:44,910 --> 01:03:49,810 +و q2 صح ولا لا يا شباب؟ هيها E بتسوي KQ على R + +862 +01:03:49,810 --> 01:03:53,030 +تربيع وR unit vector و ال unit vector زي ما اتفقنا + +863 +01:03:53,030 --> 01:03:56,810 +where the unit vector directed from Q to the point + +864 +01:03:57,190 --> 01:04:00,010 +كانت ال point حطتها Q0 و Q0 في الأخر انا فرضها + +865 +01:04:00,010 --> 01:04:03,910 +برضه المعطى عندي هي النقطة B هي العصر وبالتالي بدأ + +866 +01:04:03,910 --> 01:04:11,090 +أنسب إلها فبالتالي R من Q لنقطة B هاي قانون بدأ + +867 +01:04:11,090 --> 01:04:14,890 +أحط زي قانون جديدة طبعا تدبش بيه قانون كلها هذا Q1 + +868 +01:04:14,890 --> 01:04:19,250 +و Q2 على R تربيع هذا Q بس مش غير شحنة لأن المجال + +869 +01:04:19,250 --> 01:04:24,010 +يتولد من شحنة بس شحنة واحدة لحالها كفيرة تولدلي + +870 +01:04:24,010 --> 01:04:25,250 +مجال حلو + +871 +01:04:28,360 --> 01:04:33,700 +نرجع لها وهذه النقطة بيه وحسبناها ايه وهذه ايه عند + +872 +01:04:33,700 --> 01:04:37,600 +النقطة بيه صار هذه المجال واضح شباب طبعا ولما + +873 +01:04:37,600 --> 01:04:43,440 +اتفقنا المجال بيكون بهذا الشكل اتجاهه حلوIt is + +874 +01:04:43,440 --> 01:04:46,840 +clear that if the charge Q is negative، حنا قولنا + +875 +01:04:46,840 --> 01:04:51,180 +Q نقطة تفق عليها تكون positive، صح؟ لكن الـQ، هذه + +876 +01:04:51,180 --> 01:04:56,240 +حرق فيها أنا، مش ممكن تكون سلبة؟ ممكن، طب لو كانت + +877 +01:04:56,240 --> 01:04:58,740 +سلبة، أيش بده يصير معايا؟ الـQ نقطة positive + +878 +01:04:58,740 --> 01:05:02,920 +دايما، الـQ سلبة، القوة بتكون تنفورية ولا + +879 +01:05:02,920 --> 01:05:05,760 +تجادوبية؟ تجادوبية، تجادوبية، إذا القوة بدت تنعكس + +880 +01:05:05,760 --> 01:05:09,080 +ولا بدت تنعكس؟الحكومة بتتناقص بيقول it is clear + +881 +01:05:09,080 --> 01:05:13,100 +that if that charge Q is negative the direction of + +882 +01:05:13,100 --> 01:05:16,620 +E will be reversed صح ولا لا؟ هذه شغلة منطقية هي + +883 +01:05:16,620 --> 01:05:23,560 +صارت ذرجة بتبقى هيك E؟ لأ E هتصير هيك إذا صارت E + +884 +01:05:23,560 --> 01:05:30,160 +اتجاه بيعتمد على مين؟على الـQ المسبب إليها، هي E + +885 +01:05:30,160 --> 01:05:33,720 +من أين جاءت؟ ليس من الـQ، إذن الـQ هي صاحبة + +886 +01:05:33,720 --> 01:05:38,680 +الصراحية والحق الحصري إنها تحدد اتجاه E ولا لا، + +887 +01:05:38,680 --> 01:05:43,300 +طبعاً من مجالها هي بتحدد مقداره وبتحدد اتجاهه + +888 +01:05:43,580 --> 01:05:48,040 +اتجاهه بتحدد تبع النوع الشحنة والمقدار بتحدد تبع + +889 +01:05:48,040 --> 01:05:51,660 +المقدار الشحنة وبعد النقطة صح ولا لأ؟ إذا المقدار + +890 +01:05:51,660 --> 01:05:55,760 +بيلعب فيه شغلتين المجنتوه تبع الشحنة وبعد النقطة + +891 +01:05:55,760 --> 01:06:00,340 +عنها أما ال direction بس نوعها positive طالع منها + +892 +01:06:00,340 --> 01:06:06,060 +negative داخل عليها صح ولا لأ؟ هذا هي تمام واضحة + +893 +01:06:06,060 --> 01:06:11,050 +الأموربقول لي إيش معناته if q is positive + +894 +01:06:11,050 --> 01:06:15,290 +الأولانية لما كانت حمرا the direction of e is + +895 +01:06:15,290 --> 01:06:19,390 +outward from that charge طالع من الشحنة رايح عن + +896 +01:06:19,390 --> 01:06:24,510 +النقطة صح ولا لأ is outward from that charge و if + +897 +01:06:24,510 --> 01:06:27,730 +q is negative اللي هي المرسومة عندكم الآن the + +898 +01:06:27,730 --> 01:06:32,490 +direction of e is inward toward that charge رايح + +899 +01:06:32,490 --> 01:06:39,530 +من النقطة ع الشحنة سهلة سهلة إذا أنالما كنت أحل + +900 +01:06:39,530 --> 01:06:42,510 +forces أول حاجة كنت أعملها أحدد ال direction of + +901 +01:06:42,510 --> 01:06:45,430 +the forces و كنت أحددها تبعا لل attractive و ال + +902 +01:06:45,430 --> 01:06:49,010 +reversive ليش؟ لأنه أنا بتعامل مع vectors و كان + +903 +01:06:49,010 --> 01:06:52,310 +بالذنب ال directions طب المجال القهوة بقى اسكرا؟ + +904 +01:06:53,310 --> 01:06:56,610 +ولّا vector برضه؟ برضه vector إذا بلزمني ال + +905 +01:06:56,610 --> 01:06:59,810 +direction ولا بلزمنيش؟ برضه بلزمني إذا برضه ع + +906 +01:06:59,810 --> 01:07:03,450 +الرسمة بدي أحدد ال direction كيف بقولي هدول ال two + +907 +01:07:03,450 --> 01:07:06,930 +remarks بيساعدوني كيف أحدد ال direction هو في + +908 +01:07:06,930 --> 01:07:10,230 +الآخر بده المجال بس من شحنة مش شحنة نعطيك إياها و + +909 +01:07:10,230 --> 01:07:14,830 +لا مش نعطيك إياها نعطيك إياها لمقدارا و نوعا إذا + +910 +01:07:14,830 --> 01:07:19,310 +كانت الشحنة موجبة بقول المجال بخلع منهاإذا الشحنة + +911 +01:07:19,310 --> 01:07:22,790 +سالبة بيقول المجال رايع عليها إذا هدول الملاحظتين + +912 +01:07:22,790 --> 01:07:27,670 +هم اللي بدهم يساعدوني أحدد اتجاه المجال الكهربائي + +913 +01:07:27,670 --> 01:07:32,350 +شباب واضح؟ و هيكون الحل بيشبه الحل تبع columbus + +914 +01:07:32,350 --> 01:07:35,550 +law بس هنا بتتعامل مع قوة هنا بتتعامل مع electric + +915 +01:07:35,550 --> 01:07:38,710 +fields مش أكتر في الآخر هنا vectors هنا vectors + +916 +01:07:38,710 --> 01:07:42,930 +بدي أكتبهم ك vectors بدلانة I و J وهنا نفس القضية + +917 +01:07:43,670 --> 01:07:47,170 +هناك كنت أتعامل مع ال direction على أساس + +918 +01:07:47,170 --> 01:07:50,990 +attractive or repulsive هنا بنتعامل مش عندي شحنة + +919 +01:07:50,990 --> 01:07:55,430 +وحيدة it is inward or outward outward if q is + +920 +01:07:55,430 --> 01:08:00,930 +positive and inward if q is negative واضح شباب؟ في + +921 +01:08:00,930 --> 01:08:06,470 +أي استفسار لحد هذه اللحظة؟ كل شحنة إلها مجالها طيب + +922 +01:08:06,470 --> 01:08:11,190 +هذه q تلاتة مش موجودة وأنا هنا وهذه نقطة + +923 +01:08:13,810 --> 01:08:18,250 +هذه النقطة جامعة كم شحنة؟ شحنتين المجال اللي عند + +924 +01:08:18,250 --> 01:08:22,510 +النقطة بس جاي ملكي واحد ولا من واحد واثنين؟ إذا كل + +925 +01:08:22,510 --> 01:08:25,830 +شحنة إلها نصيب ولا لا؟ كيف بدي أحسبه؟ بقولك لواحد + +926 +01:08:25,830 --> 01:08:29,790 +إنه نصيب بحسب اتجاهه و بحسب مقداره ولا لا؟ إذا هي + +927 +01:08:29,790 --> 01:08:35,070 +.. بقدر بالعربي و بالبلدي أقول إن ال E at point P + +928 +01:08:35,070 --> 01:08:41,100 +is the sum of E1 and E2 but the vector sumأذا انا + +929 +01:08:41,100 --> 01:08:45,740 +بدي اجمع اذا بدي اجمع E1 و E2 و اجمعهم ك vectors + +930 +01:08:45,740 --> 01:08:48,300 +بطلع عندي المجال ساعتها كل واحد بياخد نصيبه + +931 +01:08:48,300 --> 01:08:53,940 +بالعادل صحيح ولا لا تمام شوف اشكلت مين هنا the + +932 +01:08:53,940 --> 01:08:56,300 +electric field at a point due to a group of + +933 +01:08:56,300 --> 01:08:58,860 +pointed charges مافيش عندي شحنة واحدة لأ في عندي + +934 +01:08:58,860 --> 01:09:03,970 +شحنات كتيرة group ان شاء الله مليونE is the vector + +935 +01:09:03,970 --> 01:09:08,970 +sum الجمع الاتجاهي of the electric fields at that + +936 +01:09:08,970 --> 01:09:13,870 +point due to each charge individually يعني بجيب E + +937 +01:09:13,870 --> 01:09:18,630 +للأولى E للتانية E للتالتة و هكذا كل واحدة لحالي + +938 +01:09:18,630 --> 01:09:21,550 +على حدة و بعد كده بجمعهم جمعتهم اتجاهي + +939 +01:09:21,550 --> 01:09:27,190 +individually IE E if we have N charges عندي N + +940 +01:09:27,190 --> 01:09:30,130 +charges و ال N هذه ممكن تكون عشرة ممكن تكون مليون + +941 +01:09:30,130 --> 01:09:38,720 +تمام؟الطابق الإلكتروني E هوE1 جبتها E2 جبتها E3 + +942 +01:09:38,720 --> 01:09:42,880 +جبتها ضلتني أمشي أمشي لما خلصت لها N الـ N زي ما + +943 +01:09:42,880 --> 01:09:46,500 +اتفقنا مليون ولا مية ولا عشرة ولا تلاتة ولا اتنين + +944 +01:09:46,500 --> 01:09:49,940 +مفرقاش معاها بضلني أجمع لما عصلها إذا أنا لما يكون + +945 +01:09:49,940 --> 01:09:53,160 +في عندي أكتر من شحنة بده شدة المجال عند نقطة مطلوب + +946 +01:09:53,160 --> 01:09:58,780 +مني أجيب E1 due to Q1 E2 due to Q2 E3 due to Q3 و + +947 +01:09:58,780 --> 01:10:02,280 +هكذا لما أخلص و بعدين أجمع جميع ال vectors و جمع + +948 +01:10:02,280 --> 01:10:07,940 +ال vectors عملية سهلةE1 E2 and EN are the electric + +949 +01:10:07,940 --> 01:10:12,120 +fields due to the charges Q1 Q2 and QN + +950 +01:10:12,120 --> 01:10:16,260 +respectively طبعا + +951 +01:10:16,260 --> 01:10:18,580 +احنا لما جيبنا القانون قلنا ايه + +952 +01:10:21,830 --> 01:10:25,490 +بتسوي KQ على R تربيع وحطنا هنا R unit vector صح + +953 +01:10:25,490 --> 01:10:28,670 +ولا لأ؟ جيري طب لو بدك يديب ال magnitude مازال + +954 +01:10:28,670 --> 01:10:32,570 +هادي بدي أصي ال magnitude بدك تطير هادي لإن هادي + +955 +01:10:32,570 --> 01:10:35,310 +بتصي scale لإن مامعكوا في vector عشان أطير هادي + +956 +01:10:35,310 --> 01:10:39,560 +بدي أحط هنا absolute valueمظبوط ولا لا؟ ليش؟ أنا + +957 +01:10:39,560 --> 01:10:41,540 +بقولك الـdirection اللي جيبته على رأسنا، إيش لك + +958 +01:10:41,540 --> 01:10:43,640 +فيه كمان مرة؟ خلاص، بيكفي، إيش ضايل عليك؟ ال + +959 +01:10:43,640 --> 01:10:47,020 +magnitude صح ولا لا؟ إذا انت ال direction حددته، و + +960 +01:10:47,020 --> 01:10:49,600 +ال vector شغلتين، ال direction و ال magnitude، ال + +961 +01:10:49,600 --> 01:10:52,260 +direction اتحددت بالملاحظين اللي حاكيناها، لأ + +962 +01:10:52,260 --> 01:10:55,200 +outward for positive charges أو inward for + +963 +01:10:55,200 --> 01:10:57,800 +negative charges، حددتها، إيش بضل عليك؟ جيب ال + +964 +01:10:57,800 --> 01:11:00,140 +magnitude، ال magnitude يعني مافيش جاعي لديه + +965 +01:11:00,140 --> 01:11:03,240 +vector ولا unit vector ولا حاجة، هيك، استخدم هذا + +966 +01:11:03,240 --> 01:11:06,170 +القانونطبعا زي ما حكينا بالـ Coulomb's Law لما + +967 +01:11:06,170 --> 01:11:08,750 +يكون أنا بتعامل مع مجموعة الـ charge must be + +968 +01:11:08,750 --> 01:11:13,570 +absolute value صح ولا لأ؟ لأنه خلاص مهمة الـ sine + +969 +01:11:13,570 --> 01:11:16,750 +ان عملت بتحديد الاتجاه خلاص ماشي ليه دعوة فيها + +970 +01:11:16,750 --> 01:11:21,250 +حددت اتجاه و خلصت فبتصير K absolute value ل Q على + +971 +01:11:21,250 --> 01:11:26,270 +R تربية مافيش أي مشكلة في هذه القضية زيها .. زي + +972 +01:11:26,270 --> 01:11:31,830 +هذه في أي صفصار شباب؟ احكي؟ حكي معايا، اسأل كلمة + +973 +01:11:31,830 --> 01:11:36,460 +بدكهو بس انه مصطلح ال الكتيريز .. the magnitude of + +974 +01:11:36,460 --> 01:11:41,860 +.. اه ده خطأ مضحك .. اه ده ال magnitude of ال ال + +975 +01:11:41,860 --> 01:11:46,180 +الكتيريز فانا مصح .. لإنه هيجينا ال magnitude بس + +976 +01:11:46,180 --> 01:11:48,180 +لسه .. ده اللي هو ست سبعة شبات يعني .. احكي .. + +977 +01:11:48,180 --> 01:11:52,920 +هيجينا ال magnitude كل ال .. كل المشكلات حواليها + +978 +01:11:52,920 --> 01:11:56,220 +.. معاهم اللي أوطام عليها .. لأ .. هيجينا ال + +979 +01:11:56,220 --> 01:12:00,640 +magnitude of E1و ال magnitude of E2 لو طلع ال + +980 +01:12:00,640 --> 01:12:04,700 +magnitude of E1 خمسة و ال magnitude of E2 ثلاثة + +981 +01:12:04,700 --> 01:12:09,740 +المagnitude of the total تمانية لأ انت عشان تجيب + +982 +01:12:09,740 --> 01:12:14,040 +ال magnitude لكل واحد على حده فانت عليه بتلجأش + +983 +01:12:14,040 --> 01:12:20,400 +تقول the magnitude of the resultant not equal to + +984 +01:12:20,400 --> 01:12:24,100 +the sum of the magnitudes يعني + +985 +01:12:25,350 --> 01:12:30,230 +المقدار تبع المحصلة شباب لا يسوء مجموع المقادير + +986 +01:12:30,230 --> 01:12:34,570 +انت بتسويش انت بتجيب المقدار عشان بعد كده تكتب ك + +987 +01:12:34,570 --> 01:12:37,590 +vector بتقول المقدار زي الاتجاه و بتحط جنب الاتجاه + +988 +01:12:37,590 --> 01:12:42,230 +انت بتكترها هذه انت بتجيب المقدار بس ل E1 و بس ل + +989 +01:12:42,230 --> 01:12:47,050 +E2 لكن المقدار لل E total لا يسوء the sum of the + +990 +01:12:47,050 --> 01:12:52,290 +magnitudes لكل ال electric fields تمام؟ غيره شباب + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..11922ec9051a4c9df6b977e5720adfe526ed9ba9 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw_postprocess.srt @@ -0,0 +1,1400 @@ +1 +00:00:09,780 --> 00:00:14,180 +أهلا و مرحبا بنا حين كمان مرة بنبدأ بالشتر السابع + +2 +00:00:15,070 --> 00:00:21,090 +باللي حكينا عنه هو بداية المغناطيسية يا شباب يعني + +3 +00:00:21,090 --> 00:00:23,790 +احنا بنهاية الشكتر السادس من كل أنهينا الكعربية + +4 +00:00:23,790 --> 00:00:28,050 +كلها اللي جزمناها electrostatic و electrodynamic + +5 +00:00:28,050 --> 00:00:30,890 +بمعنى اخر كعربية ساكنة أو كعربية دينامكية اخر + +6 +00:00:30,890 --> 00:00:33,870 +شترين كانوا بيحكوا عن الكعربية الدينامكية الآن + +7 +00:00:33,870 --> 00:00:38,590 +بدنا نفوت على موضوع المغناطيسية طبعا الهدف بعد كده + +8 +00:00:38,590 --> 00:00:43,260 +ان المصاق بيبقى اسمه لا كعربية ولا مغناطيسيةولا + +9 +00:00:43,260 --> 00:00:45,920 +electricity and magnetism زمان كان يسموه بصرا + +10 +00:00:45,920 --> 00:00:48,580 +يسموه قهره ميغناطسية electromagnetic theory + +11 +00:00:48,580 --> 00:00:53,240 +electromagnetic theory ليش؟ لأن الكهربية بتولد + +12 +00:00:53,240 --> 00:00:57,320 +ميغناطسية و الميغناطسية بتولد كهربية زي ما بيحكوا + +13 +00:00:57,320 --> 00:01:00,840 +من قبل الجاجة ولا البيضاع تمام؟ بس احنا عارفين من + +14 +00:01:00,840 --> 00:01:03,920 +قبل الان الكهربية قبل الميغناطسية يا شباب أصل + +15 +00:01:03,920 --> 00:01:08,120 +الميغناطسية كهربية تمام؟ أصل الميغناطسية مش حادثة + +16 +00:01:08,120 --> 00:01:12,940 +قدك تشوفchapter civil magnetic field المجال + +17 +00:01:12,940 --> 00:01:18,840 +المغناطيسي عنوان قبل ان الناس لاقياها اللي بتجي + +18 +00:01:18,840 --> 00:01:22,600 +خلينا نرتاح هنا شوية قبل ما يخلصوا تمام مكتوبين + +19 +00:01:22,600 --> 00:01:25,620 +عندكم وصلا معرفين المفروض الوراجة موجودة عندكمو ان + +20 +00:01:25,620 --> 00:01:29,780 +شاء الله يكونوا من حله ان شاء الله انت شوفوا زي ما + +21 +00:01:29,780 --> 00:01:33,200 +انتوا شوفتوا أسئلة الحل اللي بنجيبها الأربعة غالبا + +22 +00:01:33,200 --> 00:01:36,360 +من الكتاب يعني غالبا من الكتاب مشابه إلها يعني في + +23 +00:01:36,360 --> 00:01:40,200 +الكتاب كان فيه نص ريج جيبناكم ربع بس مش أكتر + +24 +00:01:40,200 --> 00:01:45,880 +فحلاها بس المهم ان واحد يكون عنده مألوفة الشغل كيف + +25 +00:01:45,880 --> 00:01:49,400 +يتعامل معها تمام هذه الأسئلة + +26 +00:01:52,130 --> 00:01:56,170 +introduction طبعا introduction بقول التالي بقول it + +27 +00:01:56,170 --> 00:01:58,850 +was found طبعا انتوا عارفين انه برضه معلومة + +28 +00:01:58,850 --> 00:02:03,610 +تاريخية ان المغناطيصية بالرغم ان سدابها الكهربية + +29 +00:02:03,610 --> 00:02:08,550 +انها اكتشفت جبل الكهربية بالمئات السنينالمغناطيسية + +30 +00:02:08,550 --> 00:02:12,270 +كظاهرة انعافت من زمان و اول ان انتوا عارفين + +31 +00:02:12,270 --> 00:02:15,310 +البوصلة و مش عارف ايش هذه الشغلات فبالتالي ظاهرة + +32 +00:02:15,310 --> 00:02:19,190 +المغناطيسية كانت معروفة من مئات السنين و ايه + +33 +00:02:19,190 --> 00:02:21,370 +الكهربية لما اكتشفت؟ في الآخر الناس يقولوا ان + +34 +00:02:21,370 --> 00:02:24,090 +المغناطيسية أصلها كهربية أصلا بقولت + +35 +00:02:26,030 --> 00:02:29,450 +هذه بقولك عنه .. هذي بقولك عنه .. انا عرشت عنه في + +36 +00:02:29,450 --> 00:02:33,230 +أحد المحاضرات بس هذيات بقولكش هو it was found when + +37 +00:02:33,230 --> 00:02:37,090 +a magnet مع نقيس اللي كان هو ماكنتش فيه من زمان و + +38 +00:02:37,090 --> 00:02:40,510 +مش عارفين من وين جه صنعوه ولا إيش صووا فيه + +39 +00:02:40,510 --> 00:02:43,130 +suspended from its center algo إيش بيصير فيه؟ + +40 +00:02:43,130 --> 00:02:46,350 +بالضبط لو وجهته هيك بتوجه ولا لازم يلوف و يقلب و + +41 +00:02:46,350 --> 00:02:49,770 +يروح شمال جنوب مظبط ولا لأ it is found .. هذي + +42 +00:02:49,770 --> 00:02:52,210 +ظاهرة طبيعية من زمان بيعرفوها اجدادنا و اجداد + +43 +00:02:52,210 --> 00:02:56,010 +اجدادناSuspended from its center, it tends to + +44 +00:02:56,010 --> 00:02:59,450 +align itself up in a north-south direction، دايما + +45 +00:02:59,450 --> 00:03:01,750 +تروح شمالي جنوب، عشان كده كانوا يعرفوا ال + +46 +00:03:01,750 --> 00:03:04,650 +direction منه، ان هو شمال ولا جنوب، دايما تروح + +47 +00:03:04,650 --> 00:03:07,470 +شمال جنوب، تمام، ال locomotive bus نيدي اللي + +48 +00:03:07,470 --> 00:03:11,030 +بنسميها البوصلة احنا، تمام، the north end is + +49 +00:03:11,030 --> 00:03:14,050 +called the north pole، قالوا ال north endخلوه + +50 +00:03:14,050 --> 00:03:18,330 +North Pole سموه North Pole تمام؟ and the south end + +51 +00:03:18,330 --> 00:03:21,510 +is called the south pole قطب شمالي و قطب جنوبي + +52 +00:03:21,510 --> 00:03:26,230 +سموه إذا المناطي بيروح شرق غرب بيروح شرق غرب روحش + +53 +00:03:26,230 --> 00:03:29,370 +اللي شمال جنوب قالوا اللي رايح شمال سموه شمال و + +54 +00:03:29,370 --> 00:03:33,710 +اللي رايح جنوب سموه جنوب رايحوا حالة تمام؟استخدام + +55 +00:03:33,710 --> 00:03:34,230 +الانترنت لا يمكن ان يكون ايسوليتدا انترنتين لا + +56 +00:03:34,230 --> 00:03:54,830 +يمكن ان يكون ايسوليتدا انترنتين + +57 +00:03:57,660 --> 00:04:02,260 +يجيب مناشته ودوس .. بصيرها دي الساعة ثمانية و نصف + +58 +00:04:02,260 --> 00:04:05,120 +.. بص .. بصيرها الساعة ثمانية و نصف .. من جسمه .. + +59 +00:04:05,120 --> 00:04:08,480 +بتلاقيش بول لحاله .. فبصموها .. فش مونو بول في + +60 +00:04:08,480 --> 00:04:11,760 +الميرماطسية .. مونو يعني مفردي .. فش .. دايما ضايب + +61 +00:04:11,760 --> 00:04:15,380 +بول زي ما يكون موجود .. تمام؟ بقول these two poles + +62 +00:04:15,380 --> 00:04:18,660 +can't be isolated .. that is poles always appear + +63 +00:04:18,660 --> 00:04:21,600 +in pairs .. دايما بيكونوا زويش .. opposite poles + +64 +00:04:21,600 --> 00:04:23,800 +attract each other while like poles rebel each + +65 +00:04:23,800 --> 00:04:27,500 +other .. زي الملائكة العربية ..الاقطاب المتشابهة + +66 +00:04:27,500 --> 00:04:31,620 +بتتنافر والاقطاب المتجاهل المتشابهة المختلفة + +67 +00:04:31,620 --> 00:04:37,780 +بتتجاذب تمام؟ بيقول as for the electric field فجيت + +68 +00:04:37,780 --> 00:04:39,900 +عندك شحنة موجبة وشحنة سالبة صار في عندك مجال + +69 +00:04:39,900 --> 00:04:42,600 +كهربائي ولا لا؟ عندك مغناطيس إذا صار في مجال + +70 +00:04:42,600 --> 00:04:46,530 +مغناطيسي ولا لا؟ جرب مصمرة إيش بيصير فيه؟إذا اتأثر + +71 +00:04:46,530 --> 00:04:50,410 +المصمار لما تجربه بتأثر هي المغناطيس اللي لو حطه + +72 +00:04:50,410 --> 00:04:54,130 +المصمار في جباله بتأثر؟ لأ لازم المصمار يصير إيش؟ + +73 +00:04:54,130 --> 00:04:58,610 +في مجال المغناطيس، إذا المغناطيس إنه مجال كي بيجي + +74 +00:04:58,610 --> 00:05:01,130 +أعمله، يقول إنه مجال كهربا، مش المجال الكهربائي + +75 +00:05:01,130 --> 00:05:05,800 +مثلته بخطوط مثل مجال المغناطيس بخطوطوبنفس القاعدة + +76 +00:05:05,800 --> 00:05:10,140 +المجال المراتيسي يمثل بخطوط بتبدأ من قطب الشمال + +77 +00:05:10,140 --> 00:05:14,140 +بتوحق قطب الجنوب عدد الخطوط بتتناسب ترضيا مع شدة + +78 +00:05:14,140 --> 00:05:20,300 +المجال تمام؟ في عندي خلاف + +79 +00:05:20,300 --> 00:05:24,500 +واحد ان الخطوط في المجال الكعربائي بتعملش دوائر + +80 +00:05:24,500 --> 00:05:28,620 +مغلقة هنا بتعملنقول ايش for the electric field؟ زي + +81 +00:05:28,620 --> 00:05:31,240 +ما عملت في المجال الكعبائي، we represent the + +82 +00:05:31,240 --> 00:05:35,440 +magnetic field by field lines، خطوط مجال، called + +83 +00:05:35,440 --> 00:05:40,640 +the magnetic field lines، نفس التسمية، these lines + +84 +00:05:40,640 --> 00:05:43,800 +can be drawn such that، نبدأ، كيف بداوصمهم؟ زي + +85 +00:05:43,800 --> 00:05:50,120 +ذلك، they point out from the north pole and toward + +86 +00:05:50,120 --> 00:05:53,300 +the south pole of a magnet، من موجب لسالب، من + +87 +00:05:53,300 --> 00:06:00,160 +north ل south،الاتجاه للطبية المغامرة في أي موقع + +88 +00:06:00,160 --> 00:06:05,190 +مرتبط بهذه القطع مثل مجال كهرباالنسبة للمجال + +89 +00:06:05,190 --> 00:06:08,470 +العالي في المجال المجالي هو مقارنة بالقوة المجانية + +90 +00:06:08,470 --> 00:06:12,610 +يعني لما يكونوا أكتر تنس كفر فترم عالية معناته + +91 +00:06:12,610 --> 00:06:16,410 +المجال عالي ولا لأ المجال عالي نفس القبيلة بيقول + +92 +00:06:16,410 --> 00:06:19,350 +notice that the magnetic field lines continue + +93 +00:06:19,350 --> 00:06:23,670 +inside the magnet بيخش جوه ال magnet يعني بيخلصش + +94 +00:06:23,670 --> 00:06:29,040 +عند ال north او ال south لأ بيضلوا ماشيتصبح + +95 +00:06:29,040 --> 00:06:31,880 +مجموعات مقاومة مختلفة من الـElectric Field Lines + +96 +00:06:31,880 --> 00:06:36,120 +التي تبدأ على تشجيعات مفيدة وتنتهي على تشجيعات + +97 +00:06:36,120 --> 00:06:38,700 +مفيدة هيبقوا خلصوا عند الـ Negative هتبقوا على + +98 +00:06:38,700 --> 00:06:45,580 +عجوبة و بعدين بكمل الـEarth is considered as a + +99 +00:06:45,580 --> 00:06:50,420 +magnet القولة الأرضية مغناطيس كيف؟ بيقولي قطبها + +100 +00:06:50,420 --> 00:06:53,900 +الشمالي الجغرافي هو قطب الجنوب المغناطيسي لها عشان + +101 +00:06:53,900 --> 00:06:59,220 +كده لما تجيب مغناطيسمش بيقول المختلف بيتجرب هناك + +102 +00:06:59,220 --> 00:07:03,660 +فيه قطب جنوبي عشان كده قطب الشمال يتبع المغاطس + +103 +00:07:03,660 --> 00:07:05,820 +بيروح عليه بيتجذبه + +104 +00:07:09,130 --> 00:07:09,970 +لأ هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +105 +00:07:09,970 --> 00:07:10,410 +هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو + +106 +00:07:10,410 --> 00:07:10,430 +.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +107 +00:07:10,430 --> 00:07:13,930 +هو .. هو .. هو .. هو .. + +108 +00:07:13,930 --> 00:07:19,310 +هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو + +109 +00:07:19,310 --> 00:07:19,350 +.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +110 +00:07:19,350 --> 00:07:21,030 +هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو + +111 +00:07:21,030 --> 00:07:21,250 +.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +112 +00:07:21,250 --> 00:07:21,630 +.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +113 +00:07:21,630 --> 00:07:30,390 +.. هو .. هو .. هو .. هو .. هو ..مش بعيد عنها الارض + +114 +00:07:30,390 --> 00:07:36,150 +مستخدمة كمجنون مع نفسها جيغراميكسية بول في مصر بول + +115 +00:07:36,150 --> 00:07:39,170 +يعني المصر بول المغناطيسي في جنوب أفريقيا + +116 +00:07:41,700 --> 00:07:44,440 +تمام؟ و القطب الجنوب المغناطيسي هو في القطب + +117 +00:07:44,440 --> 00:07:49,600 +الشمالي الجغرافي تمام؟ هو .. هو .. لما جيب + +118 +00:07:49,600 --> 00:07:52,000 +المغناطيس .. لما جيب المغناطيس .. جالوا واحد و + +119 +00:07:52,000 --> 00:07:55,420 +رايح شمال .. بتسميه جنوب؟ خلوه يسموه شمال .. تمام؟ + +120 +00:07:55,420 --> 00:07:58,340 +لما اكتشفوا إن الشمال بع الشمال بتناخر .. جالوا + +121 +00:07:58,340 --> 00:08:02,210 +إذا مش صحيح يكون ..الجذبية الأرضية قطبها الشمالي + +122 +00:08:02,210 --> 00:08:05,450 +المغناطيسي هناك و اللي بيصير الشمال مع الشمال + +123 +00:08:05,450 --> 00:08:08,850 +بيقولوا هذا تسميه الشمالي و صار جنوب سببت معاهم + +124 +00:08:08,850 --> 00:08:12,270 +فهك تسميه تمام تمام this explained revolution or + +125 +00:08:12,270 --> 00:08:17,470 +suspended magnet و هذا بيسميهاطبعا هذا الخطوط + +126 +00:08:17,470 --> 00:08:19,930 +بدلها ماشية و هذه بولت الحديد اللي خدتوها في + +127 +00:08:19,930 --> 00:08:23,090 +المدارس هذه الرسمة الحقيقية لبولة الحديد حطوا + +128 +00:08:23,090 --> 00:08:25,030 +مغناطيس و حطوا برادر هذا ال north و هذا ال south + +129 +00:08:25,030 --> 00:08:28,750 +فبكون الشكل اللي طبعا محطوش ال direction هذه + +130 +00:08:28,750 --> 00:08:32,430 +الرسمة الحقيقية لكن لما يرسموا هي ال direction ال + +131 +00:08:32,430 --> 00:08:35,730 +direction بهذا ال north و هذا ال south من ال north + +132 +00:08:35,730 --> 00:08:41,430 +ل ال south و بكمل احنا الكعبة كانت انجهان وادف صح؟ + +133 +00:08:41,570 --> 00:08:44,950 +أما هذا بيكمل يوم بيعمل closed loops هذا الرسم + +134 +00:08:44,950 --> 00:08:51,230 +اللي طلعه برضه جابه انا من ال net حاجات زيك .. اوه + +135 +00:08:51,230 --> 00:08:56,070 +زيك .. بس تشوف وين موجودة .. ده .. اديها .. حاجات + +136 +00:08:56,070 --> 00:08:59,130 +.. اتطلعوا .. هو هنا يمكن يجيبها سنة شوية لأ هذي + +137 +00:08:59,130 --> 00:09:01,730 +بيجيبها أفضل .. ممكنش انا اعمل طالعها magnetic + +138 +00:09:01,730 --> 00:09:06,690 +field and forces ايش أصل المغناطسية؟ يقول التالي a + +139 +00:09:06,690 --> 00:09:09,310 +moving charge .. a moving charge + +140 +00:09:12,070 --> 00:09:12,430 +أو مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +141 +00:09:12,430 --> 00:09:14,770 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +142 +00:09:14,770 --> 00:09:19,150 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +143 +00:09:19,150 --> 00:09:19,770 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +144 +00:09:19,770 --> 00:09:26,670 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +145 +00:09:26,670 --> 00:09:31,150 +مجرد + +146 +00:09:37,680 --> 00:09:42,920 +in the space around it، حاجة نيجي، في عندك جسم، مش + +147 +00:09:42,920 --> 00:09:49,690 +فيه شحنات بتلحرق، إيش تركبت الجسم؟ذرات اش عشان + +148 +00:09:49,690 --> 00:09:52,450 +حواليها الالكترويات ايه كيف الالكترويات اللي + +149 +00:09:52,450 --> 00:09:57,910 +اخدتوها؟ بتدور .. بتدور حوالي النواة .. اذا هاي + +150 +00:09:57,910 --> 00:10:02,490 +أصنف ظاهرة النغماطيسية ضواران الالكترون حوالي + +151 +00:10:02,490 --> 00:10:05,830 +النواة الالكترون شحنة ولا مش شحنة؟ ساكنة ولا + +152 +00:10:05,830 --> 00:10:10,240 +متحركة؟ اذا هاي مجال نغماطيسيإذا كل المادة فيها + +153 +00:10:10,240 --> 00:10:13,800 +مجال مغناطيس، هرجيت، طب ليش مش كل المواد مغناطيس؟ + +154 +00:10:13,800 --> 00:10:17,700 +بقول يوه، فيه مائة ألف مجال مغناطيس كل واحد شرائه + +155 +00:10:17,700 --> 00:10:22,120 +عشان التوقف، اجمعهم مع بعض، بطلع Zero، رقمهم، بطلع + +156 +00:10:22,120 --> 00:10:26,100 +عند القيمةعشان كده لما حكينا على حكاية ال + +157 +00:10:26,100 --> 00:10:28,620 +polarization إذا كنتوا ذاكريني لما حطيت انا ال + +158 +00:10:28,620 --> 00:10:31,860 +diameter جوه الcapacitor وكيف انا رتبت ال divolves + +159 +00:10:31,860 --> 00:10:35,000 +وجدلكم في المجال المغراطيسي ايش بيصير فيه؟ بجيب + +160 +00:10:35,000 --> 00:10:39,240 +مجال الحديد بحطها في المجال المغراطيسي تترتب جيبها + +161 +00:10:39,240 --> 00:10:42,100 +من المجال المغراطيسي بتبقى مرتبةفي بعض المواد + +162 +00:10:42,100 --> 00:10:45,500 +بتجيب مجال مغناطيسي بترتبها بتقول هي اجالي بتطلق + +163 +00:10:45,500 --> 00:10:48,640 +حاجة عاوزة تخربش تمام؟ اذا في بعض المواد اللي + +164 +00:10:48,640 --> 00:10:52,420 +بيسميها Ferro magnetic materials حاجة دي لما + +165 +00:10:52,420 --> 00:10:56,700 +ارتبها وجمة المؤثر بتجيبها مرتبة عشان كده في + +166 +00:10:56,700 --> 00:11:00,540 +مغناطيس بيسموه مغناطيس كهربائي شبابتبع الجرس + +167 +00:11:00,540 --> 00:11:04,280 +الذاكرينه؟ هذا المغناطيس كربي ايه؟ هذا مُعقَد، دي + +168 +00:11:04,280 --> 00:11:08,320 +مطيا كربي بدله؟ لأ، أما المغناطيس الدائم، اللي هو + +169 +00:11:08,320 --> 00:11:10,580 +المغناطيس اللي بنستخدم في الـMagnetic Materials + +170 +00:11:10,580 --> 00:11:14,800 +إذا الـMagnetic Materials هو بيكون الـDipoles + +171 +00:11:14,800 --> 00:11:17,380 +تبعونه مرتبين، عشان كده بيكون فيه مت مجال + +172 +00:11:17,380 --> 00:11:22,420 +مغناطيسي، مت، لكن كل مادة جواها فيه مجال مغناطيسي، + +173 +00:11:22,420 --> 00:11:26,830 +لكن بيكون المحصلة تبعتها بالسلسفرليش؟ انه randomly + +174 +00:11:26,830 --> 00:11:29,810 +oriented .. randomly oriented .. لكن لما تكون + +175 +00:11:29,810 --> 00:11:34,210 +اللهعي بتقول لأ في عندي net magnetic field فبصير + +176 +00:11:34,210 --> 00:11:37,550 +permanent magnet زي المغناطيسيات .. اذا هي + +177 +00:11:37,550 --> 00:11:41,650 +بصمعواها الصناعة بعالجوها معالجة بحطوها تحت تأثير + +178 +00:11:41,650 --> 00:11:45,490 +مجال مغناطيسي قوي برتبها بتطلعوها بتظلها زي ما هي + +179 +00:11:45,490 --> 00:11:49,900 +المغناطيسعشان بيقولوا اي حاجة اي مادة في الرو + +180 +00:11:49,900 --> 00:11:52,180 +ماجناتيك لازم تكون بيجيشوا معناه بيقولوا هو مصطلح + +181 +00:11:52,180 --> 00:11:57,980 +استعملولي مغراطيس من مادة معينة لأ هو أصلا مادة + +182 +00:11:57,980 --> 00:12:00,060 +طبيعية بقولك مصنوعة من مادة بيسموها في الرو + +183 +00:12:00,060 --> 00:12:03,580 +ماجناتيك materials وشهر واحد الحديد وفيها اكتر من + +184 +00:12:03,580 --> 00:12:07,260 +مادة كوبلت ومش عارف ايش اكتر من مادة لازم تكون هذه + +185 +00:12:07,260 --> 00:12:12,300 +المادةمصنعة عن انها Ferromagnetic المواد تصنع + +186 +00:12:12,300 --> 00:12:17,080 +Diamagnetic, Ferromagnetic و Paramagnetic الاتنين + +187 +00:12:17,080 --> 00:12:20,280 +الأولانيين مايحتفظوش بالمغناطية تبعتهم + +188 +00:12:20,280 --> 00:12:23,100 +الferromagnetic materials هي الوحيدة طبعا هذه + +189 +00:12:23,100 --> 00:12:28,080 +التفاصيل احنا مش هدخلش فيه لان المثقبت تطبيقي + +190 +00:12:28,080 --> 00:12:34,120 +ومقدمة في النهاية بياخدوهش فقط ال science for + +191 +00:12:34,120 --> 00:12:39,860 +applicationاحنا بنحاول دائما ما أمكننا نشهد من الـ + +192 +00:12:39,860 --> 00:12:43,900 +pure science و ناخد بس التطبيق أما في شرطة في + +193 +00:12:43,900 --> 00:12:48,080 +الكتاب و حط عليه optional حتى بيشرحلك عن الفيرو + +194 +00:12:48,080 --> 00:12:51,260 +ماجنتك و البراماجنتك و البراماجنتك احنا كتزائيين + +195 +00:12:51,260 --> 00:12:54,040 +بندرسه في مصراحات مختلفة لأنه أكتر من المصراحات + +196 +00:12:54,040 --> 00:12:56,540 +بتتناول هذا الجانب لكن احنا مانعش نخش في التفاصيل + +197 +00:12:56,540 --> 00:12:59,760 +بس عشان انا كنت اسألك السؤال إذا هو الآن المعلومة + +198 +00:12:59,760 --> 00:13:02,880 +اللي اكتشفوها جالو من وين هي في المجال المواضيسي + +199 +00:13:02,880 --> 00:13:06,530 +بالاخر اكتشفوا ان كل شحنة بتتحركبتولد مجال + +200 +00:13:06,530 --> 00:13:11,650 +مغماطيسي ياله إيه زينا في أول chapter قولنا كل + +201 +00:13:11,650 --> 00:13:16,170 +شحنة بتولد مجال كهربائي صح؟ طب كل شحنة موجودة في + +202 +00:13:16,170 --> 00:13:20,030 +مجال كهربائي إيش بيصير فيها؟ بتتأثر بقوة كهربية + +203 +00:13:20,030 --> 00:13:27,010 +زينا كل شحنة متحركة بتولد مجال مغماطيسي كل شحنة + +204 +00:13:27,010 --> 00:13:31,630 +متحركة في مجال مغماطيسي بتتأثر بقوة مغماطيسية بنفس + +205 +00:13:31,630 --> 00:13:37,830 +إيه المفهوم؟ تمامبقول any moving charge any moving + +206 +00:13:37,830 --> 00:13:41,930 +charge exist in the region of magnetic field ال + +207 +00:13:41,930 --> 00:13:45,570 +magnetic field شباب من يوم أطلع عيش رمزه capital P + +208 +00:13:45,570 --> 00:13:48,550 +المجال الكهرباية capital E المجال المغناطيسي + +209 +00:13:48,550 --> 00:13:51,350 +capital P هي فيه شحنة موجودة في المجال المغناطيسي + +210 +00:13:51,350 --> 00:13:55,670 +ساكنة و لا تتأثر حركتها تتأثر بقوة مغناطيسية will + +211 +00:13:55,670 --> 00:13:59,510 +be affected by a magnetic force according to طبعا + +212 +00:13:59,510 --> 00:14:01,110 +القوة الكهرباية بس اذكرها + +213 +00:14:04,400 --> 00:14:08,840 +مترين هذا؟ حاجات مجيجي عندي شغل جديدة بدي q و بدي + +214 +00:14:08,840 --> 00:14:12,640 +مجال مقاطس و بدي سرعة لإن لو ماتحركتش فيه قوة إذا + +215 +00:14:12,640 --> 00:14:16,860 +بدأت تدخل عندي السرعة مشكلة ليش؟ السرعة vector و + +216 +00:14:16,860 --> 00:14:19,280 +ال b vector إذا لأ بدي أحط dot و لا بدي أحط cross + +217 +00:14:19,280 --> 00:14:24,960 +صح؟ بفرح أحط dot و هدي vector إذا بدي أحط cross صح + +218 +00:14:24,960 --> 00:14:28,360 +ولا لأ؟ ليش؟ لإنه native vector و ال dot بديني + +219 +00:14:28,360 --> 00:14:32,700 +scalar إذا لازم أحط cross f بيساوي q و v cross ال + +220 +00:14:32,700 --> 00:14:37,790 +bإذا بيشبه هذا بس انضفوا السرعة لإنه بيقول انا + +221 +00:14:37,790 --> 00:14:41,670 +moving its charge إذا لازم السرعة تكون موجودة من + +222 +00:14:41,670 --> 00:14:46,450 +هذه العلاقة لو ذي سفر في قوة إذا القوة فقط إذا + +223 +00:14:46,450 --> 00:14:49,850 +كانت الشحنات متحركة زي المجال المغمطيسي بتوددش + +224 +00:14:49,850 --> 00:14:53,250 +اللي إذا كانت الشحنات متحركة أو طيار طبعا ال cross + +225 +00:14:53,250 --> 00:14:56,150 +product ماحنا عارفين صينظاوية هذه معروفة + +226 +00:14:59,460 --> 00:15:03,740 +أف و ايه اما مع بعض او عكس بعض تبع لإنه positive + +227 +00:15:03,740 --> 00:15:09,300 +or negative طب هنا أف و بي متعامدات مع بعض + +228 +00:15:12,020 --> 00:15:14,940 +بيقولين where v is the radius of the charge q and + +229 +00:15:14,940 --> 00:15:19,640 +θ is the angle between v and b not that f is zero + +230 +00:15:19,640 --> 00:15:24,680 +if v and b are parallel هى بيقول كده بتكون الشحنة + +231 +00:15:24,680 --> 00:15:28,420 +متحركة و المجال المناطيسي موجود و برضه مافيش قوة + +232 +00:15:28,420 --> 00:15:31,900 +إذا صين الزاوية في الثانوية سفر إذا كانت المجال + +233 +00:15:31,900 --> 00:15:37,620 +المناطيسي والسرعة بيكونبيكون فش قوة تمام ال + +234 +00:15:37,620 --> 00:15:40,900 +maximum if V and P are perpendicular لما يكون + +235 +00:15:40,900 --> 00:15:44,340 +الزاوية 90 وصينة 90 أكبر قيمة ولا لأ طيب هذه + +236 +00:15:44,340 --> 00:15:49,800 +معلومة سهلة من صيني الزاوية أخدتها تمام آية + +237 +00:15:49,800 --> 00:15:52,300 +الجمهية الفيزيائية الوحيدة اللي جدها عنده هي + +238 +00:15:52,300 --> 00:15:57,350 +capital Pوحدتها نيوتن، صح ولا لأ؟ V متر بير ثقانت، + +239 +00:15:57,350 --> 00:16:01,010 +الـQ كله، كلها ضعفة. الكمية الاجتيادة اللي متعاملة + +240 +00:16:01,010 --> 00:16:04,610 +معها الآن هي capital P, the magnetic field. بيقول، + +241 +00:16:04,610 --> 00:16:11,090 +the SI unit of P is، نريد تطلع نيوتن، وهنا على كله + +242 +00:16:11,090 --> 00:16:15,870 +وعلى متر بير ثقانت، فنصير نيوتن ثقانت على كل متر. + +243 +00:16:16,070 --> 00:16:19,170 +طبعا هذه في الأخر وحدة كبيرة كتير، سموها تسلا. + +244 +00:16:20,170 --> 00:16:24,290 +خدتوها التسلا التسلا هي الاصئة unit ال cgs unit او + +245 +00:16:24,290 --> 00:16:28,790 +الجوزيان unit هي الجوز شوف كلمة جوز ال cgs system + +246 +00:16:28,790 --> 00:16:35,870 +ذاكرينه؟ ايش انه تسمية تانية؟ جوزيان system هي جوز + +247 +00:16:35,870 --> 00:16:40,050 +وحدته في المجال المواطس جوزلأن هو اشتغل و هو في + +248 +00:16:40,050 --> 00:16:42,730 +المغناطسية بيقولك ال Gaussian System أحسن ليه؟ + +249 +00:16:42,730 --> 00:16:45,570 +لأنه كتير من الثوابت بتسوي واحد عندهم وبالتالي في + +250 +00:16:45,570 --> 00:16:48,510 +كتير من الكتب المتقدمة بيستخدموا ال Gaussian + +251 +00:16:48,510 --> 00:16:52,570 +System ليش؟ لأنه كتير من الثوابت اللي عندهم بتصير + +252 +00:16:52,570 --> 00:16:56,570 +واحد أثر لهم مجرد تسهيل يعني عشان كده صمية + +253 +00:16:56,570 --> 00:16:59,710 +Gaussian System لأن هو استخدم هذا ال system كتير و + +254 +00:16:59,710 --> 00:17:02,650 +كان يشتغل أكتر حاجة في المغناطسية فكان بنسوا أكتر + +255 +00:17:02,650 --> 00:17:04,770 +هذا ال system عشان كده بيسموه ال Gaussian System + +256 +00:17:04,770 --> 00:17:10,200 +بس مجرد عشان نقول من ون جت التسمية يعنيwhich is + +257 +00:17:10,200 --> 00:17:14,740 +called Tesla رمزة capital T the cgs unit or the + +258 +00:17:14,740 --> 00:17:18,760 +gauss يعني unit of b is the gauss تمام capital G + +259 +00:17:18,760 --> 00:17:21,980 +which is related to the tesla through واحد تسلا + +260 +00:17:21,980 --> 00:17:24,740 +بالسوية عشرة أقصى أربعة gauss طبعا التس تي جي + +261 +00:17:24,740 --> 00:17:29,960 +بتحول الكلوم ل unit set it و ال V ل centimeter per + +262 +00:17:29,960 --> 00:17:34,160 +second و ال force ل ضعيف فأنا كده بقدر أطلع هذا + +263 +00:17:34,160 --> 00:17:37,300 +العلاقة مش مهم احنا بنحفظها و حفظها موجودة في كل + +264 +00:17:37,300 --> 00:17:41,260 +الكتبهنا ايش بيقولي in contrary to the + +265 +00:17:41,260 --> 00:17:44,240 +electrostatic force اللي هي هذه which is parallel + +266 +00:17:44,240 --> 00:17:47,780 +to E بتكون دايما parallel to E اما مع العكس يعني + +267 +00:17:47,780 --> 00:17:51,300 +لا برايل لا انت برايل the direction of F is always + +268 +00:17:51,300 --> 00:17:54,280 +normal to both V and capital P لان ال cross + +269 +00:17:54,280 --> 00:17:57,240 +product ال cross product بتطلعلي متعامد على + +270 +00:17:57,240 --> 00:18:00,300 +التانين it is given by the right hand rule وهذه + +271 +00:18:00,300 --> 00:18:04,320 +المشكلة عاد بدت ان واحدة C وواحدة S ويوم تطلع + +272 +00:18:04,320 --> 00:18:09,680 +التالتة؟في العين الـ Z و الـ Z تجي مشكلة نبدأ نعمل + +273 +00:18:09,680 --> 00:18:16,140 +هيك نبدأ نعمل هيك ليش هيك؟ سينه صادوها عين و ليش + +274 +00:18:16,140 --> 00:18:22,340 +هيك؟ سينه صادوها عين تمام؟ اذا المشكلة تجي لإن ال + +275 +00:18:22,340 --> 00:18:27,300 +direction التامت لما أنا جاي لأن F بيساوي Q و V + +276 +00:18:27,300 --> 00:18:30,960 +cross ال B V cross ال B بيجي متعامد واحد سين واحد + +277 +00:18:30,960 --> 00:18:34,980 +صادو التالت تجي عين على طول XYZمافيش مجال إيه اللي + +278 +00:18:34,980 --> 00:18:38,040 +يجي التالت كيه بيفضّقها ده اللي أشتر على إيدك هكذا + +279 +00:18:38,040 --> 00:18:41,440 +طبعا ليش بيصير الصعوبة شباب لإن أنا برص مع ورقة أو + +280 +00:18:41,440 --> 00:18:44,220 +برص مع لوح و الورقة و اللوحة و ال dimensions طب + +281 +00:18:44,220 --> 00:18:46,740 +بصير صعوبة إن أنا أوضح ال dimension التالت عشان + +282 +00:18:46,740 --> 00:18:50,300 +كده تيجي عملية الإيدين عشان نمثلها بيقول it is + +283 +00:18:50,300 --> 00:18:52,700 +given by the right hand rule و ال right hand rule + +284 +00:18:52,700 --> 00:18:59,430 +ده هي إيه يسوي بيقول حط أصابعك الأربعة مع ال Vأو + +285 +00:18:59,430 --> 00:19:05,250 +مع ال I ودورها باتجاه ال B زي احنا لما نقول C + +286 +00:19:05,250 --> 00:19:08,490 +بتساوي A cross ال B ايه بشتغل؟ لما نقول خطة سبع + +287 +00:19:08,490 --> 00:19:12,730 +كلاك معناها ايه؟ دور باتجاه B بتطلع C صح ولا لأ؟ + +288 +00:19:12,730 --> 00:19:17,810 +وها دي نفس القضية F بتساوي Q و V cross ال B خطة + +289 +00:19:17,810 --> 00:19:20,490 +سبع كلاك معناها ايه؟ دور باتجاه ال B بتطلع تجاه + +290 +00:19:20,490 --> 00:19:24,130 +القوة F تمام فهي ايش بقولك؟ + +291 +00:19:27,120 --> 00:19:29,800 +دع أربع المندودين يقوموا بإيقاف أربع المندودين + +292 +00:19:29,800 --> 00:19:32,880 +بيقوموا + +293 +00:19:32,880 --> 00:19:33,420 +بإيقاف أربع المندودين بيقوموا بإيقاف أربع + +294 +00:19:33,420 --> 00:19:34,640 +المندودين بيقوموا بإيقاف أربع المندودين بيقوموا + +295 +00:19:34,640 --> 00:19:35,460 +بإيقاف أربع المندودين بيقوموا بإيقاف أربع + +296 +00:19:35,460 --> 00:19:36,300 +المندودين بيقوموا بإيقاف أربع المندودين بيقوموا + +297 +00:19:36,300 --> 00:19:37,420 +المندودين بيقوموا بإيقاف أربع المندودين بيقوموا + +298 +00:19:37,420 --> 00:19:39,760 +بإيقاف أربع المندودين بيقوموا بإيقاف أربع + +299 +00:19:39,760 --> 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deflection .. تمام؟ .. إذا معناته أنا بقدر + +346 +00:23:20,940 --> 00:23:23,560 +أعرف ال variation من هذا .. رح أطيب فيها أسئلة + +347 +00:23:23,560 --> 00:23:26,760 +بقولك إنه كيف deflected .. بتعرف إنها بتروح يمين، + +348 +00:23:26,760 --> 00:23:29,380 +بتروح شمال، بتبقى زي ما هي .. unaffected .. + +349 +00:23:29,380 --> 00:23:33,680 +فبنعرفها .. يورتيو كل أعظم .. يورتيو كل أعظم .. + +350 +00:23:33,680 --> 00:23:34,920 +نكمل إن شاء الله مرة جاية .. + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..dceee00e6c5c7f0caaa5b11ba8bbc59e8650dd7a --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 1418, "start": 9.78, "end": 14.18, "text": "أهلا و مرحبا بنا حين كمان مرة بنبدأ بالشتر السابع", "tokens": [10721, 3224, 15040, 4032, 3714, 2288, 5016, 3555, 995, 4724, 8315, 11331, 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"end": 211.83, "text": "خلوه North Pole سموه North Pole تمام؟ and the south end is called the south pole قطب شمالي و قطب جنوبي سموه إذا المناطي بيروح شرق غرب بيروح شرق غرب روحش اللي شمال جنوب قالوا اللي رايح شمال سموه شمال و اللي رايح جنوب سموه جنوب رايحوا حالة تمام؟", "tokens": [9778, 1211, 2407, 3224, 4067, 34212, 8608, 2304, 2407, 3224, 4067, 34212, 46811, 10943, 22807, 293, 264, 7377, 917, 307, 1219, 264, 7377, 13208, 12174, 9566, 3555, 13412, 2304, 6027, 1829, 4032, 12174, 9566, 3555, 10874, 1863, 2407, 21292, 8608, 2304, 2407, 3224, 11933, 15730, 9673, 1863, 41193, 1829, 4724, 13546, 2407, 5016, 13412, 2288, 4587, 32771, 25513, 4724, 13546, 2407, 5016, 13412, 2288, 4587, 32771, 25513, 12602, 2407, 5016, 8592, 13672, 1829, 13412, 2304, 6027, 10874, 1863, 37746, 50239, 14407, 13672, 1829, 12602, 47302, 5016, 13412, 2304, 6027, 8608, 2304, 2407, 3224, 13412, 2304, 6027, 4032, 13672, 1829, 12602, 47302, 5016, 10874, 1863, 37746, 8608, 2304, 2407, 3224, 10874, 1863, 37746, 12602, 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على إيدك هكذا طبعا ليش بيصير الصعوبة شباب لإن أنا برص مع ورقة أو برص مع لوح و الورقة و اللوحة و ال dimensions طب بصير صعوبة إن أنا أوضح ال dimension التالت عشان كده تيجي عملية الإيدين عشان نمثلها بيقول it is given by the right hand rule و ال right hand rule ده هي إيه يسوي بيقول حط أصابعك الأربعة مع ال V", "tokens": [15042, 41185, 8592, 3714, 7435, 6027, 11933, 1829, 3224, 13672, 1829, 7251, 7435, 1829, 16712, 6027, 2655, 9122, 1829, 3224, 4724, 33911, 11242, 11703, 4587, 11296, 11778, 3224, 13672, 1829, 5551, 8592, 2655, 2288, 15844, 11933, 25708, 4117, 8032, 4117, 15730, 23032, 3555, 3615, 995, 32239, 8592, 4724, 1829, 9381, 13546, 31767, 3615, 37746, 3660, 13412, 3555, 16758, 5296, 28814, 1863, 41850, 4724, 2288, 9381, 20449, 4032, 2288, 28671, 34051, 4724, 2288, 9381, 20449, 45164, 5016, 4032, 2423, 13063, 28671, 4032, 13672, 2407, 5016, 3660, 4032, 2423, 12819, 23032, 3555, 4724, 9381, 13546, 20328, 3615, 37746, 3660, 36145, 41850, 5551, 2407, 11242, 5016, 2423, 10139, 16712, 6027, 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0000000000000000000000000000000000000000..ee1d869e9bd653e0af4e37d06dbba4479b708f44 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw_raw.srt @@ -0,0 +1,1420 @@ +1 +00:00:09,780 --> 00:00:14,180 +أهلا و مرحبا بنا حين كمان مرة بنبدأ بالشتر السابع + +2 +00:00:15,070 --> 00:00:21,090 +باللي حكينا عنه هو بداية المغناطيسية يا شباب يعني + +3 +00:00:21,090 --> 00:00:23,790 +احنا بنهاية الشكتر السادس من كل أنهينا الكعربية + +4 +00:00:23,790 --> 00:00:28,050 +كلها اللي جزمناها electrostatic و electrodynamic + +5 +00:00:28,050 --> 00:00:30,890 +بمعنى اخر كعربية ساكنة أو كعربية دينامكية اخر + +6 +00:00:30,890 --> 00:00:33,870 +شترين كانوا بيحكوا عن الكعربية الدينامكية الآن + +7 +00:00:33,870 --> 00:00:38,590 +بدنا نفوت على موضوع المغناطيسية طبعا الهدف بعد كده + +8 +00:00:38,590 --> 00:00:43,260 +ان المصاق بيبقى اسمه لا كعربية ولا مغناطيسيةولا + +9 +00:00:43,260 --> 00:00:45,920 +electricity and magnetism زمان كان يسموه بصرا + +10 +00:00:45,920 --> 00:00:48,580 +يسموه قهره ميغناطسية electromagnetic theory + +11 +00:00:48,580 --> 00:00:53,240 +electromagnetic theory ليش؟ لأن الكهربية بتولد + +12 +00:00:53,240 --> 00:00:57,320 +ميغناطسية و الميغناطسية بتولد كهربية زي ما بيحكوا + +13 +00:00:57,320 --> 00:01:00,840 +من قبل الجاجة ولا البيضاع تمام؟ بس احنا عارفين من + +14 +00:01:00,840 --> 00:01:03,920 +قبل الان الكهربية قبل الميغناطسية يا شباب أصل + +15 +00:01:03,920 --> 00:01:08,120 +الميغناطسية كهربية تمام؟ أصل الميغناطسية مش حادثة + +16 +00:01:08,120 --> 00:01:12,940 +قدك تشوفchapter civil magnetic field المجال + +17 +00:01:12,940 --> 00:01:18,840 +المغناطيسي عنوان قبل ان الناس لاقياها اللي بتجي + +18 +00:01:18,840 --> 00:01:22,600 +خلينا نرتاح هنا شوية قبل ما يخلصوا تمام مكتوبين + +19 +00:01:22,600 --> 00:01:25,620 +عندكم وصلا معرفين المفروض الوراجة موجودة عندكمو ان + +20 +00:01:25,620 --> 00:01:29,780 +شاء الله يكونوا من حله ان شاء الله انت شوفوا زي ما + +21 +00:01:29,780 --> 00:01:33,200 +انتوا شوفتوا أسئلة الحل اللي بنجيبها الأربعة غالبا + +22 +00:01:33,200 --> 00:01:36,360 +من الكتاب يعني غالبا من الكتاب مشابه إلها يعني في + +23 +00:01:36,360 --> 00:01:40,200 +الكتاب كان فيه نص ريج جيبناكم ربع بس مش أكتر + +24 +00:01:40,200 --> 00:01:45,880 +فحلاها بس المهم ان واحد يكون عنده مألوفة الشغل كيف + +25 +00:01:45,880 --> 00:01:49,400 +يتعامل معها تمام هذه الأسئلة + +26 +00:01:52,130 --> 00:01:56,170 +introduction طبعا introduction بقول التالي بقول it + +27 +00:01:56,170 --> 00:01:58,850 +was found طبعا انتوا عارفين انه برضه معلومة + +28 +00:01:58,850 --> 00:02:03,610 +تاريخية ان المغناطيصية بالرغم ان سدابها الكهربية + +29 +00:02:03,610 --> 00:02:08,550 +انها اكتشفت جبل الكهربية بالمئات السنينالمغناطيسية + +30 +00:02:08,550 --> 00:02:12,270 +كظاهرة انعافت من زمان و اول ان انتوا عارفين + +31 +00:02:12,270 --> 00:02:15,310 +البوصلة و مش عارف ايش هذه الشغلات فبالتالي ظاهرة + +32 +00:02:15,310 --> 00:02:19,190 +المغناطيسية كانت معروفة من مئات السنين و ايه + +33 +00:02:19,190 --> 00:02:21,370 +الكهربية لما اكتشفت؟ في الآخر الناس يقولوا ان + +34 +00:02:21,370 --> 00:02:24,090 +المغناطيسية أصلها كهربية أصلا بقولت + +35 +00:02:26,030 --> 00:02:29,450 +هذه بقولك عنه .. هذي بقولك عنه .. انا عرشت عنه في + +36 +00:02:29,450 --> 00:02:33,230 +أحد المحاضرات بس هذيات بقولكش هو it was found when + +37 +00:02:33,230 --> 00:02:37,090 +a magnet مع نقيس اللي كان هو ماكنتش فيه من زمان و + +38 +00:02:37,090 --> 00:02:40,510 +مش عارفين من وين جه صنعوه ولا إيش صووا فيه + +39 +00:02:40,510 --> 00:02:43,130 +suspended from its center algo إيش بيصير فيه؟ + +40 +00:02:43,130 --> 00:02:46,350 +بالضبط لو وجهته هيك بتوجه ولا لازم يلوف و يقلب و + +41 +00:02:46,350 --> 00:02:49,770 +يروح شمال جنوب مظبط ولا لأ it is found .. هذي + +42 +00:02:49,770 --> 00:02:52,210 +ظاهرة طبيعية من زمان بيعرفوها اجدادنا و اجداد + +43 +00:02:52,210 --> 00:02:56,010 +اجدادناSuspended from its center, it tends to + +44 +00:02:56,010 --> 00:02:59,450 +align itself up in a north-south direction، دايما + +45 +00:02:59,450 --> 00:03:01,750 +تروح شمالي جنوب، عشان كده كانوا يعرفوا ال + +46 +00:03:01,750 --> 00:03:04,650 +direction منه، ان هو شمال ولا جنوب، دايما تروح + +47 +00:03:04,650 --> 00:03:07,470 +شمال جنوب، تمام، ال locomotive bus نيدي اللي + +48 +00:03:07,470 --> 00:03:11,030 +بنسميها البوصلة احنا، تمام، the north end is + +49 +00:03:11,030 --> 00:03:14,050 +called the north pole، قالوا ال north endخلوه + +50 +00:03:14,050 --> 00:03:18,330 +North Pole سموه North Pole تمام؟ and the south end + +51 +00:03:18,330 --> 00:03:21,510 +is called the south pole قطب شمالي و قطب جنوبي + +52 +00:03:21,510 --> 00:03:26,230 +سموه إذا المناطي بيروح شرق غرب بيروح شرق غرب روحش + +53 +00:03:26,230 --> 00:03:29,370 +اللي شمال جنوب قالوا اللي رايح شمال سموه شمال و + +54 +00:03:29,370 --> 00:03:33,710 +اللي رايح جنوب سموه جنوب رايحوا حالة تمام؟استخدام + +55 +00:03:33,710 --> 00:03:34,230 +الانترنت لا يمكن ان يكون ايسوليتدا انترنتين لا + +56 +00:03:34,230 --> 00:03:54,830 +يمكن ان يكون ايسوليتدا انترنتين + +57 +00:03:57,660 --> 00:04:02,260 +يجيب مناشته ودوس .. بصيرها دي الساعة ثمانية و نصف + +58 +00:04:02,260 --> 00:04:05,120 +.. بص .. بصيرها الساعة ثمانية و نصف .. من جسمه .. + +59 +00:04:05,120 --> 00:04:08,480 +بتلاقيش بول لحاله .. فبصموها .. فش مونو بول في + +60 +00:04:08,480 --> 00:04:11,760 +الميرماطسية .. مونو يعني مفردي .. فش .. دايما ضايب + +61 +00:04:11,760 --> 00:04:15,380 +بول زي ما يكون موجود .. تمام؟ بقول these two poles + +62 +00:04:15,380 --> 00:04:18,660 +can't be isolated .. that is poles always appear + +63 +00:04:18,660 --> 00:04:21,600 +in pairs .. دايما بيكونوا زويش .. opposite poles + +64 +00:04:21,600 --> 00:04:23,800 +attract each other while like poles rebel each + +65 +00:04:23,800 --> 00:04:27,500 +other .. زي الملائكة العربية ..الاقطاب المتشابهة + +66 +00:04:27,500 --> 00:04:31,620 +بتتنافر والاقطاب المتجاهل المتشابهة المختلفة + +67 +00:04:31,620 --> 00:04:37,780 +بتتجاذب تمام؟ بيقول as for the electric field فجيت + +68 +00:04:37,780 --> 00:04:39,900 +عندك شحنة موجبة وشحنة سالبة صار في عندك مجال + +69 +00:04:39,900 --> 00:04:42,600 +كهربائي ولا لا؟ عندك مغناطيس إذا صار في مجال + +70 +00:04:42,600 --> 00:04:46,530 +مغناطيسي ولا لا؟ جرب مصمرة إيش بيصير فيه؟إذا اتأثر + +71 +00:04:46,530 --> 00:04:50,410 +المصمار لما تجربه بتأثر هي المغناطيس اللي لو حطه + +72 +00:04:50,410 --> 00:04:54,130 +المصمار في جباله بتأثر؟ لأ لازم المصمار يصير إيش؟ + +73 +00:04:54,130 --> 00:04:58,610 +في مجال المغناطيس، إذا المغناطيس إنه مجال كي بيجي + +74 +00:04:58,610 --> 00:05:01,130 +أعمله، يقول إنه مجال كهربا، مش المجال الكهربائي + +75 +00:05:01,130 --> 00:05:05,800 +مثلته بخطوط مثل مجال المغناطيس بخطوطوبنفس القاعدة + +76 +00:05:05,800 --> 00:05:10,140 +المجال المراتيسي يمثل بخطوط بتبدأ من قطب الشمال + +77 +00:05:10,140 --> 00:05:14,140 +بتوحق قطب الجنوب عدد الخطوط بتتناسب ترضيا مع شدة + +78 +00:05:14,140 --> 00:05:20,300 +المجال تمام؟ في عندي خلاف + +79 +00:05:20,300 --> 00:05:24,500 +واحد ان الخطوط في المجال الكعربائي بتعملش دوائر + +80 +00:05:24,500 --> 00:05:28,620 +مغلقة هنا بتعملنقول ايش for the electric field؟ زي + +81 +00:05:28,620 --> 00:05:31,240 +ما عملت في المجال الكعبائي، we represent the + +82 +00:05:31,240 --> 00:05:35,440 +magnetic field by field lines، خطوط مجال، called + +83 +00:05:35,440 --> 00:05:40,640 +the magnetic field lines، نفس التسمية، these lines + +84 +00:05:40,640 --> 00:05:43,800 +can be drawn such that، نبدأ، كيف بداوصمهم؟ زي + +85 +00:05:43,800 --> 00:05:50,120 +ذلك، they point out from the north pole and toward + +86 +00:05:50,120 --> 00:05:53,300 +the south pole of a magnet، من موجب لسالب، من + +87 +00:05:53,300 --> 00:06:00,160 +north ل south،الاتجاه للطبية المغامرة في أي موقع + +88 +00:06:00,160 --> 00:06:05,190 +مرتبط بهذه القطع مثل مجال كهرباالنسبة للمجال + +89 +00:06:05,190 --> 00:06:08,470 +العالي في المجال المجالي هو مقارنة بالقوة المجانية + +90 +00:06:08,470 --> 00:06:12,610 +يعني لما يكونوا أكتر تنس كفر فترم عالية معناته + +91 +00:06:12,610 --> 00:06:16,410 +المجال عالي ولا لأ المجال عالي نفس القبيلة بيقول + +92 +00:06:16,410 --> 00:06:19,350 +notice that the magnetic field lines continue + +93 +00:06:19,350 --> 00:06:23,670 +inside the magnet بيخش جوه ال magnet يعني بيخلصش + +94 +00:06:23,670 --> 00:06:29,040 +عند ال north او ال south لأ بيضلوا ماشيتصبح + +95 +00:06:29,040 --> 00:06:31,880 +مجموعات مقاومة مختلفة من الـElectric Field Lines + +96 +00:06:31,880 --> 00:06:36,120 +التي تبدأ على تشجيعات مفيدة وتنتهي على تشجيعات + +97 +00:06:36,120 --> 00:06:38,700 +مفيدة هيبقوا خلصوا عند الـ Negative هتبقوا على + +98 +00:06:38,700 --> 00:06:45,580 +عجوبة و بعدين بكمل الـEarth is considered as a + +99 +00:06:45,580 --> 00:06:50,420 +magnet القولة الأرضية مغناطيس كيف؟ بيقولي قطبها + +100 +00:06:50,420 --> 00:06:53,900 +الشمالي الجغرافي هو قطب الجنوب المغناطيسي لها عشان + +101 +00:06:53,900 --> 00:06:59,220 +كده لما تجيب مغناطيسمش بيقول المختلف بيتجرب هناك + +102 +00:06:59,220 --> 00:07:03,660 +فيه قطب جنوبي عشان كده قطب الشمال يتبع المغاطس + +103 +00:07:03,660 --> 00:07:05,820 +بيروح عليه بيتجذبه + +104 +00:07:09,130 --> 00:07:09,970 +لأ هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +105 +00:07:09,970 --> 00:07:10,410 +هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو + +106 +00:07:10,410 --> 00:07:10,430 +.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +107 +00:07:10,430 --> 00:07:13,930 +هو .. هو .. هو .. هو .. + +108 +00:07:13,930 --> 00:07:19,310 +هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو + +109 +00:07:19,310 --> 00:07:19,350 +.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +110 +00:07:19,350 --> 00:07:21,030 +هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو + +111 +00:07:21,030 --> 00:07:21,250 +.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +112 +00:07:21,250 --> 00:07:21,250 +هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو + +113 +00:07:21,250 --> 00:07:21,250 +.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +114 +00:07:21,250 --> 00:07:21,250 +هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو + +115 +00:07:21,250 --> 00:07:21,630 +.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. + +116 +00:07:21,630 --> 00:07:21,630 +هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو + +117 +00:07:21,630 --> 00:07:30,390 +.. هو .. هو .. هو .. هو .. هو ..مش بعيد عنها الارض + +118 +00:07:30,390 --> 00:07:36,150 +مستخدمة كمجنون مع نفسها جيغراميكسية بول في مصر بول + +119 +00:07:36,150 --> 00:07:39,170 +يعني المصر بول المغناطيسي في جنوب أفريقيا + +120 +00:07:41,700 --> 00:07:44,440 +تمام؟ و القطب الجنوب المغناطيسي هو في القطب + +121 +00:07:44,440 --> 00:07:49,600 +الشمالي الجغرافي تمام؟ هو .. هو .. لما جيب + +122 +00:07:49,600 --> 00:07:52,000 +المغناطيس .. لما جيب المغناطيس .. جالوا واحد و + +123 +00:07:52,000 --> 00:07:55,420 +رايح شمال .. بتسميه جنوب؟ خلوه يسموه شمال .. تمام؟ + +124 +00:07:55,420 --> 00:07:58,340 +لما اكتشفوا إن الشمال بع الشمال بتناخر .. جالوا + +125 +00:07:58,340 --> 00:08:02,210 +إذا مش صحيح يكون ..الجذبية الأرضية قطبها الشمالي + +126 +00:08:02,210 --> 00:08:05,450 +المغناطيسي هناك و اللي بيصير الشمال مع الشمال + +127 +00:08:05,450 --> 00:08:08,850 +بيقولوا هذا تسميه الشمالي و صار جنوب سببت معاهم + +128 +00:08:08,850 --> 00:08:12,270 +فهك تسميه تمام تمام this explained revolution or + +129 +00:08:12,270 --> 00:08:17,470 +suspended magnet و هذا بيسميهاطبعا هذا الخطوط + +130 +00:08:17,470 --> 00:08:19,930 +بدلها ماشية و هذه بولت الحديد اللي خدتوها في + +131 +00:08:19,930 --> 00:08:23,090 +المدارس هذه الرسمة الحقيقية لبولة الحديد حطوا + +132 +00:08:23,090 --> 00:08:25,030 +مغناطيس و حطوا برادر هذا ال north و هذا ال south + +133 +00:08:25,030 --> 00:08:28,750 +فبكون الشكل اللي طبعا محطوش ال direction هذه + +134 +00:08:28,750 --> 00:08:32,430 +الرسمة الحقيقية لكن لما يرسموا هي ال direction ال + +135 +00:08:32,430 --> 00:08:35,730 +direction بهذا ال north و هذا ال south من ال north + +136 +00:08:35,730 --> 00:08:41,430 +ل ال south و بكمل احنا الكعبة كانت انجهان وادف صح؟ + +137 +00:08:41,570 --> 00:08:44,950 +أما هذا بيكمل يوم بيعمل closed loops هذا الرسم + +138 +00:08:44,950 --> 00:08:51,230 +اللي طلعه برضه جابه انا من ال net حاجات زيك .. اوه + +139 +00:08:51,230 --> 00:08:56,070 +زيك .. بس تشوف وين موجودة .. ده .. اديها .. حاجات + +140 +00:08:56,070 --> 00:08:59,130 +.. اتطلعوا .. هو هنا يمكن يجيبها سنة شوية لأ هذي + +141 +00:08:59,130 --> 00:09:01,730 +بيجيبها أفضل .. ممكنش انا اعمل طالعها magnetic + +142 +00:09:01,730 --> 00:09:06,690 +field and forces ايش أصل المغناطسية؟ يقول التالي a + +143 +00:09:06,690 --> 00:09:09,310 +moving charge .. a moving charge + +144 +00:09:12,070 --> 00:09:12,430 +أو مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +145 +00:09:12,430 --> 00:09:14,770 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +146 +00:09:14,770 --> 00:09:19,150 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +147 +00:09:19,150 --> 00:09:19,770 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +148 +00:09:19,770 --> 00:09:26,670 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +149 +00:09:26,670 --> 00:09:31,150 +مجرد + +150 +00:09:37,680 --> 00:09:42,920 +in the space around it، حاجة نيجي، في عندك جسم، مش + +151 +00:09:42,920 --> 00:09:49,690 +فيه شحنات بتلحرق، إيش تركبت الجسم؟ذرات اش عشان + +152 +00:09:49,690 --> 00:09:52,450 +حواليها الالكترويات ايه كيف الالكترويات اللي + +153 +00:09:52,450 --> 00:09:57,910 +اخدتوها؟ بتدور .. بتدور حوالي النواة .. اذا هاي + +154 +00:09:57,910 --> 00:10:02,490 +أصنف ظاهرة النغماطيسية ضواران الالكترون حوالي + +155 +00:10:02,490 --> 00:10:05,830 +النواة الالكترون شحنة ولا مش شحنة؟ ساكنة ولا + +156 +00:10:05,830 --> 00:10:10,240 +متحركة؟ اذا هاي مجال نغماطيسيإذا كل المادة فيها + +157 +00:10:10,240 --> 00:10:13,800 +مجال مغناطيس، هرجيت، طب ليش مش كل المواد مغناطيس؟ + +158 +00:10:13,800 --> 00:10:17,700 +بقول يوه، فيه مائة ألف مجال مغناطيس كل واحد شرائه + +159 +00:10:17,700 --> 00:10:22,120 +عشان التوقف، اجمعهم مع بعض، بطلع Zero، رقمهم، بطلع + +160 +00:10:22,120 --> 00:10:26,100 +عند القيمةعشان كده لما حكينا على حكاية ال + +161 +00:10:26,100 --> 00:10:28,620 +polarization إذا كنتوا ذاكريني لما حطيت انا ال + +162 +00:10:28,620 --> 00:10:31,860 +diameter جوه الcapacitor وكيف انا رتبت ال divolves + +163 +00:10:31,860 --> 00:10:35,000 +وجدلكم في المجال المغراطيسي ايش بيصير فيه؟ بجيب + +164 +00:10:35,000 --> 00:10:39,240 +مجال الحديد بحطها في المجال المغراطيسي تترتب جيبها + +165 +00:10:39,240 --> 00:10:42,100 +من المجال المغراطيسي بتبقى مرتبةفي بعض المواد + +166 +00:10:42,100 --> 00:10:45,500 +بتجيب مجال مغناطيسي بترتبها بتقول هي اجالي بتطلق + +167 +00:10:45,500 --> 00:10:48,640 +حاجة عاوزة تخربش تمام؟ اذا في بعض المواد اللي + +168 +00:10:48,640 --> 00:10:52,420 +بيسميها Ferro magnetic materials حاجة دي لما + +169 +00:10:52,420 --> 00:10:56,700 +ارتبها وجمة المؤثر بتجيبها مرتبة عشان كده في + +170 +00:10:56,700 --> 00:11:00,540 +مغناطيس بيسموه مغناطيس كهربائي شبابتبع الجرس + +171 +00:11:00,540 --> 00:11:04,280 +الذاكرينه؟ هذا المغناطيس كربي ايه؟ هذا مُعقَد، دي + +172 +00:11:04,280 --> 00:11:08,320 +مطيا كربي بدله؟ لأ، أما المغناطيس الدائم، اللي هو + +173 +00:11:08,320 --> 00:11:10,580 +المغناطيس اللي بنستخدم في الـMagnetic Materials + +174 +00:11:10,580 --> 00:11:14,800 +إذا الـMagnetic Materials هو بيكون الـDipoles + +175 +00:11:14,800 --> 00:11:17,380 +تبعونه مرتبين، عشان كده بيكون فيه مت مجال + +176 +00:11:17,380 --> 00:11:22,420 +مغناطيسي، مت، لكن كل مادة جواها فيه مجال مغناطيسي، + +177 +00:11:22,420 --> 00:11:26,830 +لكن بيكون المحصلة تبعتها بالسلسفرليش؟ انه randomly + +178 +00:11:26,830 --> 00:11:29,810 +oriented .. randomly oriented .. لكن لما تكون + +179 +00:11:29,810 --> 00:11:34,210 +اللهعي بتقول لأ في عندي net magnetic field فبصير + +180 +00:11:34,210 --> 00:11:37,550 +permanent magnet زي المغناطيسيات .. اذا هي + +181 +00:11:37,550 --> 00:11:41,650 +بصمعواها الصناعة بعالجوها معالجة بحطوها تحت تأثير + +182 +00:11:41,650 --> 00:11:45,490 +مجال مغناطيسي قوي برتبها بتطلعوها بتظلها زي ما هي + +183 +00:11:45,490 --> 00:11:49,900 +المغناطيسعشان بيقولوا اي حاجة اي مادة في الرو + +184 +00:11:49,900 --> 00:11:52,180 +ماجناتيك لازم تكون بيجيشوا معناه بيقولوا هو مصطلح + +185 +00:11:52,180 --> 00:11:57,980 +استعملولي مغراطيس من مادة معينة لأ هو أصلا مادة + +186 +00:11:57,980 --> 00:12:00,060 +طبيعية بقولك مصنوعة من مادة بيسموها في الرو + +187 +00:12:00,060 --> 00:12:03,580 +ماجناتيك materials وشهر واحد الحديد وفيها اكتر من + +188 +00:12:03,580 --> 00:12:07,260 +مادة كوبلت ومش عارف ايش اكتر من مادة لازم تكون هذه + +189 +00:12:07,260 --> 00:12:12,300 +المادةمصنعة عن انها Ferromagnetic المواد تصنع + +190 +00:12:12,300 --> 00:12:17,080 +Diamagnetic, Ferromagnetic و Paramagnetic الاتنين + +191 +00:12:17,080 --> 00:12:20,280 +الأولانيين مايحتفظوش بالمغناطية تبعتهم + +192 +00:12:20,280 --> 00:12:23,100 +الferromagnetic materials هي الوحيدة طبعا هذه + +193 +00:12:23,100 --> 00:12:28,080 +التفاصيل احنا مش هدخلش فيه لان المثقبت تطبيقي + +194 +00:12:28,080 --> 00:12:34,120 +ومقدمة في النهاية بياخدوهش فقط ال science for + +195 +00:12:34,120 --> 00:12:39,860 +applicationاحنا بنحاول دائما ما أمكننا نشهد من الـ + +196 +00:12:39,860 --> 00:12:43,900 +pure science و ناخد بس التطبيق أما في شرطة في + +197 +00:12:43,900 --> 00:12:48,080 +الكتاب و حط عليه optional حتى بيشرحلك عن الفيرو + +198 +00:12:48,080 --> 00:12:51,260 +ماجنتك و البراماجنتك و البراماجنتك احنا كتزائيين + +199 +00:12:51,260 --> 00:12:54,040 +بندرسه في مصراحات مختلفة لأنه أكتر من المصراحات + +200 +00:12:54,040 --> 00:12:56,540 +بتتناول هذا الجانب لكن احنا مانعش نخش في التفاصيل + +201 +00:12:56,540 --> 00:12:59,760 +بس عشان انا كنت اسألك السؤال إذا هو الآن المعلومة + +202 +00:12:59,760 --> 00:13:02,880 +اللي اكتشفوها جالو من وين هي في المجال المواضيسي + +203 +00:13:02,880 --> 00:13:06,530 +بالاخر اكتشفوا ان كل شحنة بتتحركبتولد مجال + +204 +00:13:06,530 --> 00:13:11,650 +مغماطيسي ياله إيه زينا في أول chapter قولنا كل + +205 +00:13:11,650 --> 00:13:16,170 +شحنة بتولد مجال كهربائي صح؟ طب كل شحنة موجودة في + +206 +00:13:16,170 --> 00:13:20,030 +مجال كهربائي إيش بيصير فيها؟ بتتأثر بقوة كهربية + +207 +00:13:20,030 --> 00:13:27,010 +زينا كل شحنة متحركة بتولد مجال مغماطيسي كل شحنة + +208 +00:13:27,010 --> 00:13:31,630 +متحركة في مجال مغماطيسي بتتأثر بقوة مغماطيسية بنفس + +209 +00:13:31,630 --> 00:13:37,830 +إيه المفهوم؟ تمامبقول any moving charge any moving + +210 +00:13:37,830 --> 00:13:41,930 +charge exist in the region of magnetic field ال + +211 +00:13:41,930 --> 00:13:45,570 +magnetic field شباب من يوم أطلع عيش رمزه capital P + +212 +00:13:45,570 --> 00:13:48,550 +المجال الكهرباية capital E المجال المغناطيسي + +213 +00:13:48,550 --> 00:13:51,350 +capital P هي فيه شحنة موجودة في المجال المغناطيسي + +214 +00:13:51,350 --> 00:13:55,670 +ساكنة و لا تتأثر حركتها تتأثر بقوة مغناطيسية will + +215 +00:13:55,670 --> 00:13:59,510 +be affected by a magnetic force according to طبعا + +216 +00:13:59,510 --> 00:14:01,110 +القوة الكهرباية بس اذكرها + +217 +00:14:04,400 --> 00:14:08,840 +مترين هذا؟ حاجات مجيجي عندي شغل جديدة بدي q و بدي + +218 +00:14:08,840 --> 00:14:12,640 +مجال مقاطس و بدي سرعة لإن لو ماتحركتش فيه قوة إذا + +219 +00:14:12,640 --> 00:14:16,860 +بدأت تدخل عندي السرعة مشكلة ليش؟ السرعة vector و + +220 +00:14:16,860 --> 00:14:19,280 +ال b vector إذا لأ بدي أحط dot و لا بدي أحط cross + +221 +00:14:19,280 --> 00:14:24,960 +صح؟ بفرح أحط dot و هدي vector إذا بدي أحط cross صح + +222 +00:14:24,960 --> 00:14:28,360 +ولا لأ؟ ليش؟ لإنه native vector و ال dot بديني + +223 +00:14:28,360 --> 00:14:32,700 +scalar إذا لازم أحط cross f بيساوي q و v cross ال + +224 +00:14:32,700 --> 00:14:37,790 +bإذا بيشبه هذا بس انضفوا السرعة لإنه بيقول انا + +225 +00:14:37,790 --> 00:14:41,670 +moving its charge إذا لازم السرعة تكون موجودة من + +226 +00:14:41,670 --> 00:14:46,450 +هذه العلاقة لو ذي سفر في قوة إذا القوة فقط إذا + +227 +00:14:46,450 --> 00:14:49,850 +كانت الشحنات متحركة زي المجال المغمطيسي بتوددش + +228 +00:14:49,850 --> 00:14:53,250 +اللي إذا كانت الشحنات متحركة أو طيار طبعا ال cross + +229 +00:14:53,250 --> 00:14:56,150 +product ماحنا عارفين صينظاوية هذه معروفة + +230 +00:14:59,460 --> 00:15:03,740 +أف و ايه اما مع بعض او عكس بعض تبع لإنه positive + +231 +00:15:03,740 --> 00:15:09,300 +or negative طب هنا أف و بي متعامدات مع بعض + +232 +00:15:12,020 --> 00:15:14,940 +بيقولين where v is the radius of the charge q and + +233 +00:15:14,940 --> 00:15:19,640 +θ is the angle between v and b not that f is zero + +234 +00:15:19,640 --> 00:15:24,680 +if v and b are parallel هى بيقول كده بتكون الشحنة + +235 +00:15:24,680 --> 00:15:28,420 +متحركة و المجال المناطيسي موجود و برضه مافيش قوة + +236 +00:15:28,420 --> 00:15:31,900 +إذا صين الزاوية في الثانوية سفر إذا كانت المجال + +237 +00:15:31,900 --> 00:15:37,620 +المناطيسي والسرعة بيكونبيكون فش قوة تمام ال + +238 +00:15:37,620 --> 00:15:40,900 +maximum if V and P are perpendicular لما يكون + +239 +00:15:40,900 --> 00:15:44,340 +الزاوية 90 وصينة 90 أكبر قيمة ولا لأ طيب هذه + +240 +00:15:44,340 --> 00:15:49,800 +معلومة سهلة من صيني الزاوية أخدتها تمام آية + +241 +00:15:49,800 --> 00:15:52,300 +الجمهية الفيزيائية الوحيدة اللي جدها عنده هي + +242 +00:15:52,300 --> 00:15:57,350 +capital Pوحدتها نيوتن، صح ولا لأ؟ V متر بير ثقانت، + +243 +00:15:57,350 --> 00:16:01,010 +الـQ كله، كلها ضعفة. الكمية الاجتيادة اللي متعاملة + +244 +00:16:01,010 --> 00:16:04,610 +معها الآن هي capital P, the magnetic field. بيقول، + +245 +00:16:04,610 --> 00:16:11,090 +the SI unit of P is، نريد تطلع نيوتن، وهنا على كله + +246 +00:16:11,090 --> 00:16:15,870 +وعلى متر بير ثقانت، فنصير نيوتن ثقانت على كل متر. + +247 +00:16:16,070 --> 00:16:19,170 +طبعا هذه في الأخر وحدة كبيرة كتير، سموها تسلا. + +248 +00:16:20,170 --> 00:16:24,290 +خدتوها التسلا التسلا هي الاصئة unit ال cgs unit او + +249 +00:16:24,290 --> 00:16:28,790 +الجوزيان unit هي الجوز شوف كلمة جوز ال cgs system + +250 +00:16:28,790 --> 00:16:35,870 +ذاكرينه؟ ايش انه تسمية تانية؟ جوزيان system هي جوز + +251 +00:16:35,870 --> 00:16:40,050 +وحدته في المجال المواطس جوزلأن هو اشتغل و هو في + +252 +00:16:40,050 --> 00:16:42,730 +المغناطسية بيقولك ال Gaussian System أحسن ليه؟ + +253 +00:16:42,730 --> 00:16:45,570 +لأنه كتير من الثوابت بتسوي واحد عندهم وبالتالي في + +254 +00:16:45,570 --> 00:16:48,510 +كتير من الكتب المتقدمة بيستخدموا ال Gaussian + +255 +00:16:48,510 --> 00:16:52,570 +System ليش؟ لأنه كتير من الثوابت اللي عندهم بتصير + +256 +00:16:52,570 --> 00:16:56,570 +واحد أثر لهم مجرد تسهيل يعني عشان كده صمية + +257 +00:16:56,570 --> 00:16:59,710 +Gaussian System لأن هو استخدم هذا ال system كتير و + +258 +00:16:59,710 --> 00:17:02,650 +كان يشتغل أكتر حاجة في المغناطسية فكان بنسوا أكتر + +259 +00:17:02,650 --> 00:17:04,770 +هذا ال system عشان كده بيسموه ال Gaussian System + +260 +00:17:04,770 --> 00:17:10,200 +بس مجرد عشان نقول من ون جت التسمية يعنيwhich is + +261 +00:17:10,200 --> 00:17:14,740 +called Tesla رمزة capital T the cgs unit or the + +262 +00:17:14,740 --> 00:17:18,760 +gauss يعني unit of b is the gauss تمام capital G + +263 +00:17:18,760 --> 00:17:21,980 +which is related to the tesla through واحد تسلا + +264 +00:17:21,980 --> 00:17:24,740 +بالسوية عشرة أقصى أربعة gauss طبعا التس تي جي + +265 +00:17:24,740 --> 00:17:29,960 +بتحول الكلوم ل unit set it و ال V ل centimeter per + +266 +00:17:29,960 --> 00:17:34,160 +second و ال force ل ضعيف فأنا كده بقدر أطلع هذا + +267 +00:17:34,160 --> 00:17:37,300 +العلاقة مش مهم احنا بنحفظها و حفظها موجودة في كل + +268 +00:17:37,300 --> 00:17:41,260 +الكتبهنا ايش بيقولي in contrary to the + +269 +00:17:41,260 --> 00:17:44,240 +electrostatic force اللي هي هذه which is parallel + +270 +00:17:44,240 --> 00:17:47,780 +to E بتكون دايما parallel to E اما مع العكس يعني + +271 +00:17:47,780 --> 00:17:51,300 +لا برايل لا انت برايل the direction of F is always + +272 +00:17:51,300 --> 00:17:54,280 +normal to both V and capital P لان ال cross + +273 +00:17:54,280 --> 00:17:57,240 +product ال cross product بتطلعلي متعامد على + +274 +00:17:57,240 --> 00:18:00,300 +التانين it is given by the right hand rule وهذه + +275 +00:18:00,300 --> 00:18:04,320 +المشكلة عاد بدت ان واحدة C وواحدة S ويوم تطلع + +276 +00:18:04,320 --> 00:18:09,680 +التالتة؟في العين الـ Z و الـ Z تجي مشكلة نبدأ نعمل + +277 +00:18:09,680 --> 00:18:16,140 +هيك نبدأ نعمل هيك ليش هيك؟ سينه صادوها عين و ليش + +278 +00:18:16,140 --> 00:18:22,340 +هيك؟ سينه صادوها عين تمام؟ اذا المشكلة تجي لإن ال + +279 +00:18:22,340 --> 00:18:27,300 +direction التامت لما أنا جاي لأن F بيساوي Q و V + +280 +00:18:27,300 --> 00:18:30,960 +cross ال B V cross ال B بيجي متعامد واحد سين واحد + +281 +00:18:30,960 --> 00:18:34,980 +صادو التالت تجي عين على طول XYZمافيش مجال إيه اللي + +282 +00:18:34,980 --> 00:18:38,040 +يجي التالت كيه بيفضّقها ده اللي أشتر على إيدك هكذا + +283 +00:18:38,040 --> 00:18:41,440 +طبعا ليش بيصير الصعوبة شباب لإن أنا برص مع ورقة أو + +284 +00:18:41,440 --> 00:18:44,220 +برص مع لوح و الورقة و اللوحة و ال dimensions طب + +285 +00:18:44,220 --> 00:18:46,740 +بصير صعوبة إن أنا أوضح ال dimension التالت عشان + +286 +00:18:46,740 --> 00:18:50,300 +كده تيجي عملية الإيدين عشان نمثلها بيقول it is + +287 +00:18:50,300 --> 00:18:52,700 +given by the right hand rule و ال right hand rule + +288 +00:18:52,700 --> 00:18:59,430 +ده هي إيه يسوي بيقول حط أصابعك الأربعة مع ال Vأو + +289 +00:18:59,430 --> 00:19:05,250 +مع ال I ودورها باتجاه ال B زي احنا لما نقول C + +290 +00:19:05,250 --> 00:19:08,490 +بتساوي A cross ال B ايه بشتغل؟ لما نقول خطة سبع + +291 +00:19:08,490 --> 00:19:12,730 +كلاك معناها ايه؟ دور باتجاه B بتطلع C صح ولا لأ؟ + +292 +00:19:12,730 --> 00:19:17,810 +وها دي نفس القضية F بتساوي Q و V cross ال B خطة + +293 +00:19:17,810 --> 00:19:20,490 +سبع كلاك معناها ايه؟ دور باتجاه ال B بتطلع تجاه + +294 +00:19:20,490 --> 00:19:24,130 +القوة F تمام فهي ايش بقولك؟ + +295 +00:19:27,120 --> 00:19:29,800 +دع أربع المندودين يقوموا بإيقاف أربع المندودين + +296 +00:19:29,800 --> 00:19:32,880 +بيقوموا + +297 +00:19:32,880 --> 00:19:33,420 +بإيقاف أربع المندودين بيقوموا بإيقاف أربع + +298 +00:19:33,420 --> 00:19:34,640 +المندودين بيقوموا بإيقاف أربع المندودين بيقوموا + +299 +00:19:34,640 --> 00:19:35,460 +بإيقاف أربع المندودين بيقوموا بإيقاف أربع + +300 +00:19:35,460 --> 00:19:36,300 +المندودين بيقوموا بإيقاف أربع المندودين بيقوموا + +301 +00:19:36,300 --> 00:19:36,300 +بإيقاف أربع المندودين بيقوموا بإيقاف أربع + +302 +00:19:36,300 --> 00:19:37,420 +المندودين بيقوموا بإيقاف أربع المندودين بيقوموا + +303 +00:19:37,420 --> 00:19:39,760 +بإيقاف أربع المندودين بيقوموا بإيقاف أربع + +304 +00:19:39,760 --> 00:19:44,410 +المندودين بيقوموا بإيقاف أربوهذا يعطي اتجارة + +305 +00:19:44,410 --> 00:19:47,790 +الطاقة المغناطية بيقول هذا صحيح إذا كيو نيجاتيب + +306 +00:19:47,790 --> 00:19:51,350 +اعكس وإذا كيو نيجاتيب اعكس اتجارة اللي بيطلع على + +307 +00:19:51,350 --> 00:19:54,670 +فورك بيتحط تحت تمام؟ لأن كيو نيجاتيب بيكون عندك + +308 +00:19:54,670 --> 00:19:57,690 +شرط سالب وعندها هنتعامل معها بصير سهل العملية دي + +309 +00:19:57,690 --> 00:20:01,350 +ان شاء الله مش هنلحهم كتير يعنى هنعرف التعامل مع + +310 +00:20:01,350 --> 00:20:08,430 +حمص ولا أسهل هيمر علينا هذا الشكل الشباب هذا كيف؟ + +311 +00:20:08,430 --> 00:20:15,090 +طبعا بيقولك شو هذا؟بقولك a dot is adopted for a + +312 +00:20:15,090 --> 00:20:18,630 +direction out of the page، طالع من ال page، ليش؟ + +313 +00:20:18,630 --> 00:20:21,770 +which represents the tip of a row coming towards + +314 +00:20:21,770 --> 00:20:27,490 +you، هذا راس البغي، راس البغي، طالع عليك + +315 +00:20:30,190 --> 00:20:45,590 +القاعدة البروغية بيكون + +316 +00:20:45,590 --> 00:20:49,710 +من راسها جوا، راح في الواجهة ومخلصش، بيبين بس + +317 +00:20:49,710 --> 00:20:54,940 +القاعدة تبعته، ال cross اللي بتحط فيها من الفكof a + +318 +00:20:54,940 --> 00:20:58,940 +row fired away from you بيكون رايح عليه اذا هذا + +319 +00:20:58,940 --> 00:21:01,780 +out of beach وهذا into the beach هذا ال beach + +320 +00:21:01,780 --> 00:21:04,780 +التالت اللي هيكون نتعامل معاه لأنه في الآخر لازم + +321 +00:21:04,780 --> 00:21:07,580 +نتعامل مع التالت لا محالة وبالتالي هنستخدمه في + +322 +00:21:07,580 --> 00:21:13,880 +الموضوع الرمزين كتير شباب consider + +323 +00:21:13,880 --> 00:21:16,600 +two opposite child particles moving to the right + +324 +00:21:16,600 --> 00:21:20,940 +and entering a magnetic field into the beach هاي + +325 +00:21:20,940 --> 00:21:26,300 +magnetic field كيف تجيهه الشباب؟للداخل حلو قالوا + +326 +00:21:26,300 --> 00:21:29,000 +انا في عندي شحنة هنا و شحنة هنا بدي اخليهم يمشوا + +327 +00:21:29,000 --> 00:21:32,060 +اول ما يخشوا المجال الكهربائي ايش بيحصل فيهم؟ + +328 +00:21:32,060 --> 00:21:37,060 +بيحصل عليهم قوة تمام؟ تتوقع تنتين ينحرفوا في نفس + +329 +00:21:37,060 --> 00:21:43,120 +الاتجاه؟ ولا عكس بعد؟ نجي نجرب ال positive لل + +330 +00:21:43,120 --> 00:21:48,420 +positive Q V كُس ال B بدي امشي هيك حطيت Iهك بدى + +331 +00:21:48,420 --> 00:21:52,580 +نمشي طبعا شباب across ال into the page شباب + +332 +00:21:52,580 --> 00:21:59,320 +باعتبروا نقص k ليش انا مش هيك بعد برسمهم انا مش + +333 +00:21:59,320 --> 00:22:03,080 +هيك ال z هذا ال z اصلا كيف عليكم اذا ان ال + +334 +00:22:03,080 --> 00:22:06,340 +positive z out of the page و ال into the page بدي + +335 +00:22:06,340 --> 00:22:10,480 +احاول ان اناقص k من يوم ما طالع لان انا هاي ال z + +336 +00:22:10,480 --> 00:22:16,060 +axisاذا ايه ال z axis هو out of the page ال in to + +337 +00:22:16,060 --> 00:22:20,280 +the page minus k تمام هجيت هذا minus k ورا ده طب + +338 +00:22:20,280 --> 00:22:26,120 +كيف بتعرف i cross ال k اخدلهم قولنا i j k بتخدلها + +339 +00:22:26,120 --> 00:22:30,360 +في ذنب اي cross ال j بديك k j cross ال k بديك i k + +340 +00:22:30,360 --> 00:22:33,860 +cross ال i بديك j هجيت i cross ال k ايش بديك سارب + +341 +00:22:38,010 --> 00:22:42,150 +السالب اكيد و السالب اه طبعا في سالب بتطلع جي اذا + +342 +00:22:42,150 --> 00:22:48,390 +اين بتروح هذه الأولى لفوق لفوق القوة الأعلى طبعا + +343 +00:22:48,390 --> 00:22:53,090 +اذا هذه لو تجي و التانية نجي التانية مش عادي كان + +344 +00:22:53,090 --> 00:22:56,990 +لوحدك مش خضيع انا بديك تعلم التانية ايه حطيت هنا + +345 +00:22:56,990 --> 00:23:02,390 +هذه سالب ده شباب فايه السالب هذا و ايه هذي طلع + +346 +00:23:02,390 --> 00:23:06,300 +السالب جي اذا معناته دول لم يمشواthe positive + +347 +00:23:06,300 --> 00:23:08,580 +charge will deflect upward while the negative + +348 +00:23:08,580 --> 00:23:11,540 +charge will deflect downward هاي نمشي نهو .. هذا + +349 +00:23:11,540 --> 00:23:16,900 +راح فوق .. و هذا بطلع بحاجة .. أول ما يخش المجال + +350 +00:23:16,900 --> 00:23:20,940 +بصنعه deflection .. تمام؟ .. إذا معناته أنا بقدر + +351 +00:23:20,940 --> 00:23:23,560 +أعرف ال variation من هذا .. رح أطيب فيها أسئلة + +352 +00:23:23,560 --> 00:23:26,760 +بقولك إنه كيف deflected .. بتعرف إنها بتروح يمين، + +353 +00:23:26,760 --> 00:23:29,380 +بتروح شمال، بتبقى زي ما هي .. unaffected .. + +354 +00:23:29,380 --> 00:23:33,680 +فبنعرفها .. يورتيو كل أعظم .. يورتيو كل أعظم .. + +355 +00:23:33,680 --> 00:23:34,920 +نكمل إن شاء الله مرة جاية .. + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mxPySv70GBQ_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mxPySv70GBQ_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..f8430f8703e00dbe33d1ab3fcabab59f785f4e7f --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mxPySv70GBQ_postprocess.srt @@ -0,0 +1,3020 @@ +1 +00:00:09,740 --> 00:00:16,760 +الشبتر التاني في المغناطيسية بعنوان sources of + +2 +00:00:16,760 --> 00:00:20,760 +magnetic field مصادر المجال المغناطيسي + +3 +00:00:30,240 --> 00:00:34,140 +هذا الاصل في ال chapter اللى جابله الشباب كان لما + +4 +00:00:34,140 --> 00:00:38,620 +اديك بيه اتكيها نعطى ولا مرة ياللي احس بشدة المجال + +5 +00:00:38,620 --> 00:00:42,410 +في هذا ال chapter شغلتنا نحس بشدة المجالأذا + +6 +00:00:42,410 --> 00:00:45,110 +sources of magnetic field بمعنى آخر بدي أحسب + +7 +00:00:45,110 --> 00:00:48,910 +المجال المغناطيسي من مصادر رئيسية ما هي التيار هذه + +8 +00:00:48,910 --> 00:00:54,350 +ال problems اللي احنا مطلوب ان نحلها ونبدأ ببيوت و + +9 +00:00:54,350 --> 00:00:59,010 +صفارت law قانون بيوت و صفارت بيوت و صفارت اسمين + +10 +00:00:59,010 --> 00:01:06,290 +اسم عالمين خلينا نبدأ بالمجال الكهربائي و نذكر مع + +11 +00:01:06,290 --> 00:01:09,270 +بعض المجال الكهربائي قانون عرفينه المجال الكهربائي + +12 +00:01:09,270 --> 00:01:16,950 +شبابلما أخدنا اشتقنا قانون ايه بتسوي cake U على R + +13 +00:01:16,950 --> 00:01:22,110 +تربية صحيح او لا؟ هذا قانون ايه اش كنا نسميه؟ كلهم + +14 +00:01:22,110 --> 00:01:25,830 +هو نفسه كلهم في كلمة قانون حسبنا شدة المجال + +15 +00:01:25,830 --> 00:01:31,210 +الكهربائي منهGauss اذا كان فيه انا قانونين عشان + +16 +00:01:31,210 --> 00:01:35,450 +نحسب شدة المجال الكهربائي هذا قانون كله واستخدمناه + +17 +00:01:35,450 --> 00:01:38,390 +حتى لما كان عندي continuous charge distribution + +18 +00:01:38,390 --> 00:01:43,530 +جسّلنا عناصر واتعاملنا معه المجال المغناطيسي ايضا + +19 +00:01:43,530 --> 00:01:47,970 +هناك فيه قانونين لحساب شدة المجال المغناطيسي قانون + +20 +00:01:47,970 --> 00:01:52,750 +ينظر قانون كله اسمه بيوتسا دارت وفي قانون ينظر + +21 +00:01:52,750 --> 00:01:57,920 +قانون Gauss اسمه Amperslandقانون الانبير اول نبدأ + +22 +00:01:57,920 --> 00:02:02,440 +بالقانون اللى بنظر قانون كلوم لما نجرى نطلع قانون + +23 +00:02:02,440 --> 00:02:06,040 +كلوم لما اشتقوا كلوم ايش جاء جاء شدة المجال بتنسب + +24 +00:02:06,040 --> 00:02:09,420 +تناسبة طردية مع مقدار الشحنة ولا لأ كلما زادت + +25 +00:02:09,420 --> 00:02:13,140 +الشحنة كلما زاد المجال وعكسيا مع مربع المسافة اللى + +26 +00:02:13,140 --> 00:02:20,090 +بينهمطيب ليش مع Q؟ لأن مصدر المجال الكعباء Q زادت + +27 +00:02:20,090 --> 00:02:25,930 +Q زاد المجال، الآن مصدر المجال المناطيس Q متحركة و + +28 +00:02:25,930 --> 00:02:30,010 +الـSub يبقى كدا بI، اذا انا متوقع كل ما يزيد I، + +29 +00:02:30,010 --> 00:02:34,790 +ايش يصير في المجال؟ يزيد، هذا الـSilic، فيه تيار، + +30 +00:02:34,790 --> 00:02:39,550 +ما زال فيه تيار، هنا فيه مجاللما يكون الطيار عشر + +31 +00:02:39,550 --> 00:02:42,810 +امبير غير لما يكون خمس امبير لما يكون عشر امبير + +32 +00:02:42,810 --> 00:02:47,390 +اقوى طيب ابعد عن السلك بضمن المجال زى ما هو اذا + +33 +00:02:47,390 --> 00:02:51,170 +المفروض يقل ولا لأ اذا كل ما زادت المسافة بين + +34 +00:02:51,170 --> 00:02:55,940 +السلك والنقطة بدي يكون فيهمقصاد في المجال إذا في + +35 +00:02:55,940 --> 00:03:00,500 +تناسب عكسي زي هذا في تناسب عكسي بين المسافة + +36 +00:03:00,500 --> 00:03:05,040 +والمجال بيجينا عاد عمر جديد بيقول هذا سلك لو جيب + +37 +00:03:05,040 --> 00:03:09,160 +السلك أطول زي بعد بقوله لأ السلك الأطول مجاله أكتر + +38 +00:03:09,160 --> 00:03:13,880 +إذا معناته بدي أدخل أيش كمان طول السلك فراح هدول + +39 +00:03:13,880 --> 00:03:18,180 +إلى علمين عملوا عدة تجارب وطلعوا نتائج التالية + +40 +00:03:18,180 --> 00:03:18,960 +بيقول + +41 +00:03:21,270 --> 00:03:26,970 +كما ذكرت من قبل في الشطر الماضي مصدر مصدر مصدر + +42 +00:03:26,970 --> 00:03:31,350 +مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر + +43 +00:03:31,350 --> 00:03:32,850 +مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر + +44 +00:03:32,850 --> 00:03:33,410 +مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر + +45 +00:03:33,410 --> 00:03:33,430 +مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر + +46 +00:03:33,430 --> 00:03:45,370 +مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر + +47 +00:03:45,370 --> 00:03:46,950 +م + +48 +00:03:52,380 --> 00:03:57,220 +إيه يعني؟ كل ما أزيد I المجال زاد كل ما أبعد و + +49 +00:03:57,220 --> 00:04:02,020 +أقرب بتغير المجال طيب هذه أبعد و أقرب مسافة كيف + +50 +00:04:02,020 --> 00:04:04,900 +أتعامل مع المسافة؟ هل بتقدروا تجيبولي المسافة بين + +51 +00:04:04,900 --> 00:04:09,080 +النقطة والسلك؟ بين النقطة والسلك؟ هل يرسمها أنا + +52 +00:04:09,080 --> 00:04:13,180 +هذه مسافة بين النقطة والسلك؟ أنا بينقل أقعد بين + +53 +00:04:13,180 --> 00:04:16,080 +النقطة النقطة على السلك إذا مانفعش أاخد بين النقطة + +54 +00:04:16,080 --> 00:04:19,540 +والسلك لإنه عدت مسافات فيه إذا مانفعش إلا تاخد + +55 +00:04:19,540 --> 00:04:26,100 +عنصر عنصرتمام؟ لازم تاخد عنصر عنصر لإن هيسلك هيسلك + +56 +00:04:26,100 --> 00:04:28,680 +في تيار طب بدي انا اشتدي في المجال عنده نقطة هادي + +57 +00:04:28,680 --> 00:04:33,020 +كيف اخد المسافة اخد المسافة هادي ولا هادي ولا هادي + +58 +00:04:33,020 --> 00:04:37,540 +ولا هادي ولا هادي اذا كده كتحل المشكلة يقول ياخد + +59 +00:04:37,540 --> 00:04:44,520 +عنصر عنصر فصار بس لجزء صغير دي ال تعطى من أولاقة + +60 +00:04:44,520 --> 00:04:49,860 +التالية هذا شباب key + +61 +00:04:51,900 --> 00:04:56,320 +تبعت المجنتك ثابت التناسب بتساوي تناسبا ترضيا مع + +62 +00:04:56,320 --> 00:05:01,520 +التيار تناسبا ترضيا مع طويل السلك وعكسيا مع مربع + +63 +00:05:01,520 --> 00:05:06,220 +المسافة هنا يمكن نحط R unit vector عشان ايه كيف + +64 +00:05:06,220 --> 00:05:10,320 +اتجاهه لا طالع من الشحنةلأ رايح عشنا وبالتالي + +65 +00:05:10,320 --> 00:05:14,020 +بيكون دايما مع R ولا لأ فحطينا هنا R unit vector + +66 +00:05:14,020 --> 00:05:17,920 +هانا بيه شباب اللي هو عايز مع التيار و اللي هو + +67 +00:05:17,920 --> 00:05:21,680 +الوضع هو بR عمودي على التنين فحطه cross product + +68 +00:05:21,680 --> 00:05:27,500 +بين L وR cross product ال vector اتجاهي بتجاهي + +69 +00:05:27,500 --> 00:05:32,140 +التيار اه هي مولا انصر مولا مختار اخدها و بتطلع + +70 +00:05:32,140 --> 00:05:36,760 +معايا طب هادي هادي ايش بالساوي شباب + +71 +00:05:41,990 --> 00:05:46,730 +زاكرينها؟ مظبوط ولا لأ؟ هناك ايش بيساوي؟ اربع باى + +72 +00:05:46,730 --> 00:05:51,430 +و اربع باى بقى من اي نوت ايش حطوا؟ ميو نوت طب اي + +73 +00:05:51,430 --> 00:05:52,470 +نوت ايش تعريفها؟ + +74 +00:05:54,950 --> 00:05:59,330 +the permittivity of a free space هذي و بيسموها ال + +75 +00:05:59,330 --> 00:06:02,210 +electric permittivity هذي بيسموها ال magnetic + +76 +00:06:02,210 --> 00:06:06,950 +permittivity او ال permeability نفس المصطرح اللي + +77 +00:06:06,950 --> 00:06:11,150 +هو النفاذية او السماحية بالعربي هذي بيسميها ثابت + +78 +00:06:11,150 --> 00:06:15,210 +النفاذية القهربية هذي بالعربي ثابت النفاذية + +79 +00:06:15,210 --> 00:06:19,990 +المغناطسية مش اكترأول نبدأ where R is the distance + +80 +00:06:19,990 --> 00:06:22,970 +between the element DL and the point B وضعها في + +81 +00:06:22,970 --> 00:06:25,650 +الرسمة and the unit vector directly from the + +82 +00:06:25,650 --> 00:06:29,590 +element to the point برضوها the direction of DL is + +83 +00:06:29,590 --> 00:06:31,950 +the direction of the current معلومة بحوار بعرفها + +84 +00:06:33,470 --> 00:06:37,050 +بقول الـ constant ميو نوت مسمى برميابيليتي + +85 +00:06:37,050 --> 00:06:40,210 +constant طبعا permittivity و permeability في + +86 +00:06:40,210 --> 00:06:46,530 +الخموس نفس المعنى سماح او نفاذ سماحية او نفاذية بس + +87 +00:06:46,530 --> 00:06:49,130 +محاولوا يغيروا عشان ماصلش فيه خربطة هي ثابت + +88 +00:06:49,130 --> 00:06:51,950 +النفاذية المياناطسية هي اللي بيميزها و هي ثابت + +89 +00:06:51,950 --> 00:06:55,650 +النفاذية الكهربية طبعا زي ما عملنا هنا ميو نوت + +90 +00:06:55,650 --> 00:06:59,800 +تعني فراغ زي ابسلونوت تعني فراغ لو الوسطبطل فراغ + +91 +00:06:59,800 --> 00:07:03,580 +بتحط ميو زي إبسلون و بتضربها فى ثابت زى كعبة إذا + +92 +00:07:03,580 --> 00:07:06,620 +كنتوا ذاكرينها فى كعبة برضه للمعناط السياسية مانا + +93 +00:07:06,620 --> 00:07:09,640 +أجهزها فيها الجد و ميو نوت إلى قيمة زى ما إبسلون + +94 +00:07:09,640 --> 00:07:11,560 +نوت إلى قيمة تمانية و خمسة و تمانية في المية في + +95 +00:07:11,560 --> 00:07:14,120 +عشر و عشر سالة و اتماشى هذا إلى قيمة أربعة باية في + +96 +00:07:14,120 --> 00:07:19,360 +عشر و عشر سالة تسعة تسلا متر سوية و سبعة على أمبير + +97 +00:07:19,360 --> 00:07:24,020 +هذا قانون باستخدام انصدار تمام هذه أعطاك ال ب + +98 +00:07:24,020 --> 00:07:29,780 +بسلعونصر كذا كده ب كلها ده كده كامةطبعا بيجي تكامل + +99 +00:07:29,780 --> 00:07:34,080 +انت بتجي مع بيز ال بي vector ولا ال scalar ال بي + +100 +00:07:34,080 --> 00:07:39,780 +ال بي vector ال بي vector لما تكامل بتنطبح ال + +101 +00:07:39,780 --> 00:07:44,400 +directions بيقول ال total magnetic field due to + +102 +00:07:44,400 --> 00:07:49,200 +the entire wire is هذا هو بصيه بتطلع ثلاثك برا وهو + +103 +00:07:49,200 --> 00:07:52,580 +القانون اللي بتستخدمه بي بيسوا ميونات I على أربعة + +104 +00:07:52,580 --> 00:07:57,420 +بي تكامل دي L cross ال R unit vector على R التربية + +105 +00:07:58,240 --> 00:08:00,140 +الشباب قاعد unit vector هذه اللي فوق جديش + +106 +00:08:00,140 --> 00:08:06,970 +magnitude تبعها لأنها unit vector تمامبقول it is + +107 +00:08:06,970 --> 00:08:10,310 +important to note that the integrant in the last + +108 +00:08:10,310 --> 00:08:14,150 +equation is a vector quantity and so it must be + +109 +00:08:14,150 --> 00:08:19,310 +handed accordingly وحنا نعرف تكامل ال vector بده + +110 +00:08:19,310 --> 00:08:22,030 +عناية لأنه مرات تكامل ال vector بطلع zero يعني زي + +111 +00:08:22,030 --> 00:08:25,570 +ما عرفنا تكامل ال DL بطلعش L مرات بطلع L شرط و + +112 +00:08:25,570 --> 00:08:29,550 +مرات بطلع Zero لأنه التحليل بضيع الشغلات + +113 +00:08:33,490 --> 00:08:38,030 +من العراق اللى فوق ممكن بى النقطة معينة يكون سفر + +114 +00:08:38,030 --> 00:08:42,510 +ولا لا وقتش بى بيكون سفر فى العراق اللى فوق من + +115 +00:08:42,510 --> 00:08:48,090 +زاوية ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن + +116 +00:08:48,090 --> 00:08:48,130 +ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن + +117 +00:08:48,130 --> 00:08:48,210 +ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن + +118 +00:08:48,210 --> 00:08:48,590 +ممكن ممكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن + +119 +00:08:48,590 --> 00:08:53,130 +مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكنلما + +120 +00:08:53,130 --> 00:08:59,690 +الزاوية تكون 0 او 180 حلو اذا لما تكون L و R مع + +121 +00:08:59,690 --> 00:09:03,390 +بعض او ضد بعض مافيش مجال بقول يا ده واكتشن بيحصل + +122 +00:09:03,390 --> 00:09:06,710 +اذا كانت النقطة على محور السلك النقطة على المحور + +123 +00:09:06,710 --> 00:09:09,150 +مش بتروح على السلك يعني انا انا عندي السلك هذا + +124 +00:09:09,150 --> 00:09:15,510 +يبقوني هاي النقطة هذي بيه بقول اه وينها هاي Rوين + +125 +00:09:15,510 --> 00:09:20,550 +L؟ هايها هاي L كدهش الزاوية بينهم؟ 180 عند النقطة + +126 +00:09:20,550 --> 00:09:25,150 +هذه وين R؟ بقولهم هاي R طب وين L؟ هايها إذا إيش؟ + +127 +00:09:25,150 --> 00:09:30,130 +Zero إذا لما تكون النقطة على نفس المحور بتكون بي + +128 +00:09:30,130 --> 00:09:34,290 +Zero ليش؟ لأنه بتكون الزاوية Zero أو مية و تمانين + +129 +00:09:34,290 --> 00:09:38,910 +since theta equal to zero the magnetic field at a + +130 +00:09:38,910 --> 00:09:42,290 +point along the axis of the wire is always zero + +131 +00:09:43,120 --> 00:09:47,300 +مازال نقطع المحور لما تشتغل و تشمل و تبدأ تشتغل + +132 +00:09:47,300 --> 00:09:51,400 +هتلاقي ازاى و يعطى تجزير و قطعا طيب نرجع لقعد و + +133 +00:09:51,400 --> 00:09:56,000 +قرر كيف كنا نجيب اتجاه ايه يا شباب اتجاه ايه كيف + +134 +00:09:56,000 --> 00:09:56,980 +نجيب اتجاه ايه كيف نجيب اتجاه اتجاه اتجاه اتجاه + +135 +00:09:56,980 --> 00:10:01,940 +اتجاه اتجاه اتجاه + +136 +00:10:01,940 --> 00:10:05,460 +اتجاه + +137 +00:10:05,460 --> 00:10:08,140 +اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه + +138 +00:10:08,140 --> 00:10:08,460 +اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه + +139 +00:10:08,460 --> 00:10:09,720 +اتجاه اتجاه اتجاه اتجاه اتجاه + +140 +00:10:11,920 --> 00:10:14,580 +cross product يعني انا خلّيني اجيب كمان مرة هاي + +141 +00:10:14,580 --> 00:10:24,700 +سنك هاي R هاي L و هاي نقطة و هاي R نختارد انا + +142 +00:10:24,700 --> 00:10:28,480 +بدّي الان P حسب القانون بيكون عمودية اهدى و اهدى + +143 +00:10:28,480 --> 00:10:32,940 +مظبوط ولا لأ دي L cross ال R يعني لازم يكون ال + +144 +00:10:32,940 --> 00:10:36,980 +direction عمودية على ال L و عمودية على ال R ال L + +145 +00:10:36,980 --> 00:10:42,670 +كيف اتجاههاالـ I والـ R ايش العمودي على الـ I والـ + +146 +00:10:42,670 --> 00:10:46,090 +J؟ الـ K اذا الـ B هنا غصب العنو بيديجي ال + +147 +00:10:46,090 --> 00:10:48,870 +direction التالت لان ال cross product احنا متفقين + +148 +00:10:48,870 --> 00:10:53,610 +دائما بيعطي ال direction التالت بيقول لي كيه بدي + +149 +00:10:53,610 --> 00:10:58,310 +اجيب هال direction؟ بيقول لي ال direction of B is + +150 +00:10:58,310 --> 00:11:02,690 +always perpendicular to both L and R هذه الشغله + +151 +00:11:02,690 --> 00:11:05,310 +أخدتها من أيش؟ من صفات ال cross product + +152 +00:11:09,980 --> 00:11:15,160 +معناه بكافة E على C عمودي على E على B هرجيت DL + +153 +00:11:15,160 --> 00:11:19,400 +cross ال R إذا نتجاه المجال المغناطيسي هذا بيكون + +154 +00:11:19,400 --> 00:11:23,820 +عمودي على ال L و على ال R طب كيف بيعملها؟ that is + +155 +00:11:23,820 --> 00:11:27,120 +the field lines of the magnetic field produced by + +156 +00:11:27,120 --> 00:11:32,880 +a current element are concentric circles بيعمل + +157 +00:11:32,880 --> 00:11:36,560 +circles around the element يعني كيف؟ بيقول ده + +158 +00:11:36,560 --> 00:11:41,940 +Siliconهذه تيارة عند النقطة هذه بقول هذه R وهذه L + +159 +00:11:41,940 --> 00:11:46,280 +إذا ماقعته عمودي بيكون هك نفترض طب لو كانت النقطة + +160 +00:11:46,280 --> 00:11:53,880 +هنا فهي R وهي L مظبوطة او لا بيكون هك طبعا إذا مرة + +161 +00:11:53,880 --> 00:11:56,660 +بيكون هك و مرة بيكون هك و مرة بيكون هك و مرة بيكون + +162 +00:11:56,660 --> 00:12:01,000 +هك طب في هنا بقول بيكون هك إذا ماقعته عمل دويرة + +163 +00:12:01,000 --> 00:12:06,670 +عمل دويرة إذا المجال المغناطيسي هيك عاملأصابعي هما + +164 +00:12:06,670 --> 00:12:10,250 +تجاه المجال .. أصابعي هما تجاه المجال طبعا لما + +165 +00:12:10,250 --> 00:12:13,530 +يكون فيه circle شباب ال duration كيف يصير؟ بيكون + +166 +00:12:13,530 --> 00:12:17,410 +دائما مماس .. مماس طبعا و المماس علاقته مع نص + +167 +00:12:17,410 --> 00:12:21,850 +الخطر بتعرفوها إيش هي؟ عمودية .. عمودية فطبعا نيجي + +168 +00:12:21,850 --> 00:12:25,110 +نفتلع غيره، بقول إيه الشواء اللي بيعمل circles + +169 +00:12:25,110 --> 00:12:29,350 +حوالين سلك؟ بقول ها دي الشغل هاي السلك أصابعي + +170 +00:12:29,350 --> 00:12:32,140 +الأربعة بيعملوا circles حواليه ولا لأ؟أحنا اتفقنا + +171 +00:12:32,140 --> 00:12:34,940 +ال E ليش بيعملوها؟ بيعملوها لأنه في البداية بيكونش + +172 +00:12:34,940 --> 00:12:38,800 +9 طالب مدرك ال I و ال J و ال K قالوا يعملوا هيك و + +173 +00:12:38,800 --> 00:12:43,580 +ال X و Y و Z طب إيش هذا؟ بتعرفوا الاستوانة انتوا؟ + +174 +00:12:43,580 --> 00:12:46,140 +الاستوانة two dimensions ولا three dimensions؟ + +175 +00:12:46,140 --> 00:12:50,180 +three dimensions قالوا هي قاعدة الاستوانة وهي + +176 +00:12:50,180 --> 00:12:55,540 +ارتفاع الاستوانةبالتالي طبعا احنا قدامنا نسميها + +177 +00:12:55,540 --> 00:12:58,980 +هذه الـCylindrical Coordinates أو المقاورة + +178 +00:12:58,980 --> 00:13:03,820 +الاستوانية فبالتالي بيقول جايبا اصابعك اصاب هامك + +179 +00:13:03,820 --> 00:13:07,800 +بيكون عمودي او قاعدة تحت الاستوانة وهي قاعدة + +180 +00:13:07,800 --> 00:13:10,800 +الاستوانة لما تلوف ما هي الاستوانة قاعدتها دائرية + +181 +00:13:10,800 --> 00:13:15,920 +هنا ايش بيقولي بيقولي مازال انت بتكون عمودي على + +182 +00:13:15,920 --> 00:13:22,760 +التيار وبيكون هامفي كل الأحوال هادى هتكون هى R + +183 +00:13:22,760 --> 00:13:27,340 +وبالتالي أصابعك هيكون هم لما انتموا بيعملوا + +184 +00:13:27,340 --> 00:13:37,480 +التلاتة direction تلعب هيك X Y ZX Y Z هذي R وهذه I + +185 +00:13:37,480 --> 00:13:42,240 +اللي هي L is a high B فبالتالي شباب هتم يركون ده + +186 +00:13:42,240 --> 00:13:46,700 +مقعه تبعك ايش هتفوه بيقول حط إبهامك مع التيار لف + +187 +00:13:46,700 --> 00:13:53,200 +أصابعك الأربعة وين بيشيره هو اتجاه ال Bهو اتجاه + +188 +00:13:53,200 --> 00:13:56,340 +الـ B هذه القاعدة أهم قاعدة في القاعدة اليدي + +189 +00:13:56,340 --> 00:13:59,620 +اليمنى لأن حكاية ال direction تبع ال force انت + +190 +00:13:59,620 --> 00:14:02,460 +شوفت استعادنا عنها انه I cross الجيب تديني K وخلاص + +191 +00:14:02,460 --> 00:14:07,620 +لما كنا نحط Q و لما كنا نحط I و بتاعة ال µ سهلة ال + +192 +00:14:07,620 --> 00:14:10,500 +µ مجرد ان تكون out of the page او into the page + +193 +00:14:10,500 --> 00:14:13,740 +ومجرد شغل سهلة أهم حاجة في القاعدة اليدي اليمنى + +194 +00:14:13,740 --> 00:14:19,370 +كيبقى حد اتجاه المجال المغناطيفهو يقول لي ان + +195 +00:14:19,370 --> 00:14:24,010 +المجال المغناطيسي بيعمل دوائر متحدة المركز مركزها + +196 +00:14:24,010 --> 00:14:30,300 +التيارالتجارة ممنوع من حركتك الصحيحة الصحيحة + +197 +00:14:30,300 --> 00:14:33,020 +الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة + +198 +00:14:33,020 --> 00:14:35,460 +الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة + +199 +00:14:35,460 --> 00:14:37,240 +الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة + +200 +00:14:37,240 --> 00:14:40,540 +الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة + +201 +00:14:40,540 --> 00:14:42,200 +الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة + +202 +00:14:42,200 --> 00:14:45,300 +الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة + +203 +00:14:45,300 --> 00:14:56,080 +الصحيحة الصحيحة الصحيحة الصحيح + +204 +00:14:57,820 --> 00:15:00,980 +حاجة الإيد هادي اللي قصارى بالأربعة بيعملوا دوّال + +205 +00:15:00,980 --> 00:15:03,660 +هادي ولا لأ؟ حاجة تجاه المجال الميوماطيسي الشباب + +206 +00:15:03,660 --> 00:15:07,520 +طبعا هنا مشكلة المجال الميوماطيسي ميثابت بيلف + +207 +00:15:07,520 --> 00:15:12,880 +وبالتالي عند نقطة كيف بيدي أجيبه؟ مماس بيقول الـ + +208 +00:15:12,880 --> 00:15:16,180 +magnetic field lines make concentric circles + +209 +00:15:16,180 --> 00:15:20,740 +around the wire such that the direction of P at a + +210 +00:15:20,740 --> 00:15:23,640 +point is tangent to these circles at that point + +211 +00:15:24,730 --> 00:15:28,850 +عشان كده بنقول تلعب هيعملت هيك وهي أصابع الأربعة + +212 +00:15:28,850 --> 00:15:33,250 +هذه المجال هيك بيعمل بالتالي عند النقطة هذه هيك + +213 +00:15:33,250 --> 00:15:35,810 +وعند النقطة هذه هيك وعند النقطة هذه هيك وعند + +214 +00:15:35,810 --> 00:15:36,770 +النقطة هذه هيك وعند النقطة هذه هيك وعند النقطة هذه + +215 +00:15:36,770 --> 00:15:36,850 +هيك وعند النقطة هذه هيك وعند النقطة هذه هيك وعند + +216 +00:15:36,850 --> 00:15:36,950 +النقطة هذه هيك وعند النقطة هذه هيك وعند النقطة هذه + +217 +00:15:36,950 --> 00:15:37,330 +النقطة هذه هيك وعند النقطة هذه هيك وعند النقطة هذه + +218 +00:15:37,330 --> 00:15:41,830 +هيك وعند النقطة هذه هيك وعند النقطة هذه هيك وعند + +219 +00:15:41,830 --> 00:15:53,890 +النقطة هذه هيك وعند النقطة هذه هيك وعند النقط + +220 +00:15:56,460 --> 00:15:59,900 +طبعا هو بيقول cash اودي لتجاه المجال اللي مابيقولك + +221 +00:15:59,900 --> 00:16:04,880 +عنده نقطة تمامة لو بدى عنده نقطة هادى مش هيك بيكون + +222 +00:16:04,880 --> 00:16:09,980 +شوفوا انتوا هذا الأزراج عمودي ولا مش عمودي على أنص + +223 +00:16:09,980 --> 00:16:18,360 +القطر عمودي طب هنا بتكون .. بتكون هيك ولا لأ صحيح + +224 +00:16:18,360 --> 00:16:22,480 +عنده نقطة هادى صحيح + +225 +00:16:22,480 --> 00:16:27,610 +عنده نقطة هادىبدي يكون هيك طب عنده نقطة هادى شباب + +226 +00:16:27,610 --> 00:16:32,830 +بدي يكون عمودي دى بالكم يعني مرات الواحد بيستخدم + +227 +00:16:32,830 --> 00:16:36,250 +حدثه بيقولك لأ الفكرة هتطلع علي فوق و لا هتطلع علي + +228 +00:16:36,250 --> 00:16:40,170 +امين لما تكون النقطة هادى بدي انت بيه بتكون هيك + +229 +00:16:40,170 --> 00:16:45,310 +ايش اللى حددها المماس بالظبط نص القطر لازم تكون + +230 +00:16:45,310 --> 00:16:52,680 +عمودية على نص القطردائما اذا دائما هتعلم انا انه + +231 +00:16:52,680 --> 00:16:55,600 +لما بيجي في شغلات معقدة شوية بيبقى ارسم دوائر شباب + +232 +00:16:55,600 --> 00:17:00,740 +وعمل مماس بتبين معايا في اسئلة تزلني ارسم الدوائر + +233 +00:17:00,740 --> 00:17:10,570 +حسب طبيعة السؤال حلم مثالالمجال المغناطيسي بتنصب + +234 +00:17:10,570 --> 00:17:13,890 +طردية مع طول السلك مع التياره عكسية مع مربع + +235 +00:17:13,890 --> 00:17:16,690 +المسافة حاجة الشغل عالفان اعملها بينفعش اجيب + +236 +00:17:16,690 --> 00:17:21,150 +المجال ضربة واحدة لازم اول اجيب المجال لعنصر و + +237 +00:17:21,150 --> 00:17:25,570 +بعدين اكامل كوني بتعامل مع vectors التكامل بدأ + +238 +00:17:25,570 --> 00:17:28,970 +انتمهن و لازم الدارشن يكون متساوي اذا الدارشن مش + +239 +00:17:28,970 --> 00:17:35,100 +متساوي شباب مضطر احلل و بنشوف كيفبعد كده ال + +240 +00:17:35,100 --> 00:17:39,440 +direction تبقى بيه بيكون باستخدام اليدي اليمنى + +241 +00:17:39,440 --> 00:17:44,200 +إبهامك مع التيار أصابعك الأربعة هم بيدو تجاه + +242 +00:17:44,200 --> 00:17:48,660 +المجال بمعنى آخر المجال عبارة عن concentric + +243 +00:17:48,660 --> 00:17:52,620 +circles around the wire بيقول يشوف هذا المثال + +244 +00:17:52,620 --> 00:17:56,520 +calculate the magnetic field due to a straight + +245 +00:17:56,520 --> 00:18:01,950 +wire of length 2L carrying a current Iat a point + +246 +00:18:01,950 --> 00:18:06,350 +in its perpendicular bisector at a distance a from + +247 +00:18:06,350 --> 00:18:12,370 +the wire هاي السليك وهي طوله تنين L بده شدة المجال + +248 +00:18:12,370 --> 00:18:17,010 +الطيار تبعه الداني اتجاهه I I وين بده المجال؟ + +249 +00:18:17,010 --> 00:18:20,030 +بيقولوا اللي بده المجال عند النقطة هذه هذه النقطة + +250 +00:18:20,030 --> 00:18:28,010 +على منتصف بالظبط is perpendicular bisector المعصف + +251 +00:18:28,010 --> 00:18:35,680 +للwire حلوبنحل بنفع عجيب بيه مرة واحدة؟ ايش بتاخد؟ + +252 +00:18:35,680 --> 00:18:41,860 +بتاخد عنصر دائما في باقة الصدارة اول خطوة حدد + +253 +00:18:41,860 --> 00:18:45,000 +عنصرك طب بتاخدني عنصر عليها ترسليك و انا بتاخده + +254 +00:18:45,000 --> 00:18:49,440 +عنصر بس ماتخدش عن نقطة فاتة هاي عنصر ايه؟ الأحمر + +255 +00:18:49,440 --> 00:18:51,840 +اللي شتت شايفينه طبعا هو المفروض يكون صغير بس واحد + +256 +00:18:51,840 --> 00:18:56,040 +بيكبره شوية عشان يبين هذا الأحمر جزء من الأخضر + +257 +00:18:56,040 --> 00:19:02,560 +شبابنبدأ بالاكتشاف من أحد الأجزاء من الحرارة لديها + +258 +00:19:02,560 --> 00:19:06,060 +طول دي إيه اللي بتساوي DX عشان الصينية بتخليها DX + +259 +00:19:06,060 --> 00:19:11,600 +طيب هاللي بتجيب المسافة بين النقطة والعنصر الأحمر + +260 +00:19:13,390 --> 00:19:17,290 +أه اللي هي هذه مظبوط و فيه ثغوص بيجيب هكس تربية زي + +261 +00:19:17,290 --> 00:19:21,910 +بإيه تربية صحيح فهذه زينا فيتا بتعتبرها لإن أنا في + +262 +00:19:21,910 --> 00:19:27,330 +عند cost of product بين DL و بين R DL و R يعني أنا + +263 +00:19:27,330 --> 00:19:30,150 +بدي الزيبا بين R و L هي الزيبا بين R و L عشان اللي + +264 +00:19:30,150 --> 00:19:32,230 +cost of product بدي أجيبه و أحط محله صينة فيتا عدي + +265 +00:19:32,230 --> 00:19:38,500 +تمام شباب؟ تمام تقولي الآن هاي قانونكDb بسعر + +266 +00:19:38,500 --> 00:19:45,680 +ميوناط I على 4π DL cross ال R هذه هي الكلة DL + +267 +00:19:45,680 --> 00:19:53,240 +cross ال R unit vector A cross ال B equal مجموعه A + +268 +00:19:53,240 --> 00:19:57,620 +في مجموعه B في صيني الزاوية اللي بينهم ايش مجموعه + +269 +00:19:57,620 --> 00:20:03,300 +DL؟ DX ايش مجموعه هذا؟ 1 في صيني الزاوية اللي + +270 +00:20:03,300 --> 00:20:08,340 +بينهم هذا هوخلّصت كامل جالي جالي بيقول ماهي كامل + +271 +00:20:08,340 --> 00:20:12,400 +جالي بيطلع على ال directions انا اخدت answer من + +272 +00:20:12,400 --> 00:20:17,000 +يقولي كيف اتجاه المجال بالـD اليوم ده Dot Dot طب + +273 +00:20:17,000 --> 00:20:23,700 +غير عنصرك برضه Dot اذا جميع العناصر لهم نفس اتجاه + +274 +00:20:23,700 --> 00:20:27,780 +ال B اذا انا قاعد مع بيزا من نفس الاتجاه فى مشكلة + +275 +00:20:27,780 --> 00:20:32,450 +كامل فش مشكلة كاملكل العناصر يا شباب كده عملناها + +276 +00:20:32,450 --> 00:20:37,770 +حطوا بهمكم مع التيار وهي أصابعك الأربعة بيكونوا + +277 +00:20:37,770 --> 00:20:44,310 +متوجهين عليك تمام يا شباب؟يقول الـ direction of + +278 +00:20:44,310 --> 00:20:48,250 +the magnetic field by the right hand rule is out + +279 +00:20:48,250 --> 00:20:55,210 +of the page for all elements of the wire, thus in + +280 +00:20:55,210 --> 00:20:58,270 +integrating over the wire we can adjust their + +281 +00:20:58,270 --> 00:20:58,930 +magnitudes + +282 +00:21:04,090 --> 00:21:09,430 +طلعنا فهوابتنا ميو نوت I على أربعة باعي شباب R هذه + +283 +00:21:09,430 --> 00:21:13,310 +ثابتة لكل العناصر؟ لأ لإن بتعتمد على X و X متغيرة + +284 +00:21:13,310 --> 00:21:17,510 +و الزاوية ثابتة لكل العناصر؟ برضه متغيرة جل كامل + +285 +00:21:17,510 --> 00:21:23,580 +مش هاطر كامل ليه هذا؟هو متغير فيه شبك اكس وR وثيتا + +286 +00:21:23,580 --> 00:21:27,880 +اكس حللها فيثاورس اللي هي اكس وR طب وش عين الثيتا + +287 +00:21:27,880 --> 00:21:31,680 +مانجاش احلها مش بيساوي A على R اذا كلها بيحولها + +288 +00:21:31,680 --> 00:21:37,760 +لمتغير واحد اللي هو X بقول from the geometry of + +289 +00:21:37,760 --> 00:21:40,560 +the figure we obtain R تربيه بيساوي X تربيه زي A + +290 +00:21:40,560 --> 00:21:44,040 +تربيه فيثاورس وصيني الزاوية بيساوي مقابلة على وطر + +291 +00:21:44,040 --> 00:21:49,880 +A على R ايش تغير طلعتها؟حدود التكامل، ماهو المتغير + +292 +00:21:49,880 --> 00:21:54,660 +الوحيد اللي بقى الحداد؟ X، من بداية السلك لنهاية + +293 +00:21:54,660 --> 00:22:00,400 +السلك، كيف X بتكون؟ ببدأ من الـ0، عند أي نقطة، X + +294 +00:22:00,400 --> 00:22:04,640 +بتساوي سفرعند اي نقطة X بالثلاثة صفر X بصوم عندكم + +295 +00:22:04,640 --> 00:22:09,940 +في الرسم يا جماعة هل تبقى هذا بداية السلك؟ لأ وانا + +296 +00:22:09,940 --> 00:22:13,600 +من قول حدوث التكامل من بداية السلك لنهاية السلك من + +297 +00:22:13,600 --> 00:22:16,080 +بداية الغرفة لنهاية الغرفة مينفعش أبدأ من هات و + +298 +00:22:16,080 --> 00:22:19,600 +أقول كمل لأ وليه مينفع أقول أقعد و أرجع و أقول + +299 +00:22:19,600 --> 00:22:22,940 +ساقطت و كان الجامعة تشغلها مرتين مظبطاني لأ إذا + +300 +00:22:22,940 --> 00:22:29,230 +دايما بديك تبدأ من وين من هات إيش X بتكون؟ هناأنا + +301 +00:22:29,230 --> 00:22:33,930 +اكتشفك يفهم الفرق يعني سالب L و هناك L فبالتالي من + +302 +00:22:33,930 --> 00:22:38,250 +سالب L ل L اه + +303 +00:22:38,250 --> 00:22:43,590 +اذا هذه سألة تانية عشان كده بدنا عشان احنا نحفظ + +304 +00:22:43,590 --> 00:22:47,270 +خوارط مرات بتظبط و مرات بتظبطش لأ هم من فقص L ل L + +305 +00:22:47,270 --> 00:22:52,030 +فحد بيقولهم انت ايه بنقعد و احر بعدين تمام فبدنا + +306 +00:22:52,030 --> 00:22:54,810 +عشان نعمل تغيير يكون له شروط و مانطبقش الشرط و + +307 +00:22:54,810 --> 00:23:01,810 +نلعب فيها تمامإذا حدود التكامل واضحة الشباب، إذا + +308 +00:23:01,810 --> 00:23:06,170 +بقول من ناقص L لL، بلحج ورا المتغير تبعي، طبعا لما + +309 +00:23:06,170 --> 00:23:10,710 +يكون متغير فيتا، زي مرات كانوا احنا محل في + +310 +00:23:10,710 --> 00:23:15,070 +الامتحان و بصلّع، مرات واحد يقولك دي Q، دي Q، ايه + +311 +00:23:15,070 --> 00:23:19,050 +جودة التكامل؟ دي Q، أخذ، أحط من Zero لBi على + +312 +00:23:19,050 --> 00:23:22,250 +اتنين، بنفع؟ يعني بنفع التكامل يكون هات شباب؟ + +313 +00:23:26,900 --> 00:23:30,900 +أول كيوز بتكون باية اتنين وقتش انا اتمنس انها باية + +314 +00:23:30,900 --> 00:23:33,960 +اتنين لما يكون فيه ثيتا .. ثيتا اللي بتتغير .. + +315 +00:23:33,960 --> 00:23:36,160 +تشوف الواحد مرات يقوم بعمل شغل مش عارفش اللي + +316 +00:23:36,160 --> 00:23:39,260 +بيسويه .. بيكون مش عارفش اللي بيسويه .. حافظ شغلات + +317 +00:23:39,260 --> 00:23:41,900 +موجودة .. انه فيه باية اتنين وفيه باي ومش عارف ايه + +318 +00:23:41,900 --> 00:23:44,760 +.. اكلاش اللي جوا هنا .. مالاش جوا .. بجربوا بعض + +319 +00:23:44,760 --> 00:23:48,260 +.. بجربوش بعض .. هو حر .. لإن انا بجمع كيوز .. هلي + +320 +00:23:48,260 --> 00:23:50,440 +من سفر اللي كامت الكيوز؟ اه .. بس من سفر اللي باية + +321 +00:23:50,440 --> 00:23:57,410 +اتنين .. مالطبعا و لا لما اقول DX او DR بتبقى صفر + +322 +00:23:57,410 --> 00:24:01,230 +لا بقى اتنين بتبقى اتواع طبعا حاجة لما تكون دي + +323 +00:24:01,230 --> 00:24:04,810 +فيتا بس و مرات بيكون متغير دي فيتا ساعتها بتعامل + +324 +00:24:04,810 --> 00:24:08,090 +معاه على هذا الأساس يعني لو كان دي فيتا بنفع أقول + +325 +00:24:08,090 --> 00:24:13,640 +منخس LLفعش؟ بقى نقول عمره θ بتكون L ونقص M فهي + +326 +00:24:13,640 --> 00:24:17,760 +بتكون زوايا فهنا أنا عندي X اللي بكمل عليه بقول X + +327 +00:24:17,760 --> 00:24:21,220 +إيه بتساوي مع بداتي السلكي مايديش X ومع نهايتي + +328 +00:24:21,220 --> 00:24:26,200 +السلكي مايديش X هذا هو حدود التكامل هي قيم المتاحة + +329 +00:24:26,200 --> 00:24:29,880 +الممكنة ل X هي حدود التكامل لأن في الآخر أنا مش + +330 +00:24:29,880 --> 00:24:34,240 +متعود عن X إذا هذه قيم ل X طبعا + +331 +00:24:35,800 --> 00:24:38,400 +كلكم بتاخدوا ال Calculus بيه قاعدين صح؟ بتعرفوا + +332 +00:24:38,400 --> 00:24:45,520 +يجيبوها ده؟ X إيش بتساوي؟ 10 X بيساوي A 10 لما + +333 +00:24:45,520 --> 00:24:48,660 +أربحها بيصير A تربيع 10 تربيع بتاخدوا ال A فارع + +334 +00:24:48,660 --> 00:24:51,760 +بيصير واحد زي ال 10 إيش؟ واحد زي ال 10 تربيع سك + +335 +00:24:51,760 --> 00:24:55,720 +تربيع السك تربيع تحت الجنزة بيصير سك هنا بيصير سك + +336 +00:24:55,720 --> 00:24:59,940 +تكعيب و السك تكعيب بقدر أتعامل معاه و أجيبه طبعا + +337 +00:24:59,940 --> 00:25:03,220 +هذا في ال calculus احنا لو طلعت عجب دي تكتب ال + +338 +00:25:03,220 --> 00:25:06,840 +calculus هتلاقي التكامل هذا موجودع الجلدة طبعا ليش + +339 +00:25:06,840 --> 00:25:09,180 +بقعدتوا ع الجلدة كمان مرة عشان تعرفوا ان في بعض + +340 +00:25:09,180 --> 00:25:14,560 +أمور كتيرة بدناش نحفظها بيصير common برجع و بقول + +341 +00:25:14,560 --> 00:25:18,100 +دي اما بضرب المثل زي يدور الدرب بنزهر جولاتي + +342 +00:25:18,100 --> 00:25:22,340 +الابتدائية عليه عشان يحفظوه بعد كده الكل بينسى + +343 +00:25:22,340 --> 00:25:26,080 +وبصير الكلب كله تلت نية في تلاتة بيقولك اطلعك + +344 +00:25:26,080 --> 00:25:30,960 +الكلتة كده انت تطلع ده جهة ستةبيخاف الواحد يعتمد + +345 +00:25:30,960 --> 00:25:32,580 +على حاله، بيقولك في ذلك الكتاب اللي موجود، اتنين + +346 +00:25:32,580 --> 00:25:35,160 +في تلاتة بيصي الواحد يعتمد على اهل اكتر من اعتماده + +347 +00:25:35,160 --> 00:25:37,900 +على حاله، و هذه الشغلات كتيرة موجودة زي ما انا + +348 +00:25:37,900 --> 00:25:40,640 +حكيت، انا هذه الشغلات أخدتها في السنة التامانين، + +349 +00:25:40,640 --> 00:25:44,620 +لما كنت سنة أولى جامعة، و بعدين نسيت، اه خلاص بطل + +350 +00:25:44,620 --> 00:25:47,460 +الواحد اتمل عليه، ليش؟ لإن ما صارت ديش تكملات، لا + +351 +00:25:47,460 --> 00:25:50,080 +جول سك و لا جول كان، بفتح الكتاب و دي بالنتيجة، و + +352 +00:25:50,080 --> 00:25:54,740 +خلاص، بيبطل الواحد كتيرمحتاجة لأنه بس اتعلمناها + +353 +00:25:54,740 --> 00:25:57,540 +اقولنا ان في و الله a triumetric substitution ان + +354 +00:25:57,540 --> 00:26:01,860 +عوض و بنجيبها و في technique معروف و من بسطها و من + +355 +00:26:01,860 --> 00:26:06,000 +طلعها و بالاخر هذه بتصير منجولة في نظام الامتحان + +356 +00:26:06,000 --> 00:26:11,260 +بيصير شبهها لكن هذه مشهورة عشان انتوا طعظة + +357 +00:26:11,260 --> 00:26:14,060 +بتاخدوها جاعدين انتوا تاخدوها طعظة كيف تتعاملوا + +358 +00:26:14,060 --> 00:26:16,500 +معاها عشان لاحد بذكركم فيها مش أكتر + +359 +00:26:21,520 --> 00:26:24,600 +وعوّدت وكملت وعوّدت طبعا إنتوا لما تطلع سك و + +360 +00:26:24,600 --> 00:26:27,440 +cosine في الآخر هتحولوا السك ل cosine هترجعوها + +361 +00:26:27,440 --> 00:26:32,060 +بتعرفوا بتعملوا مثال لها عشان ترجعوها X عشان + +362 +00:26:32,060 --> 00:26:36,420 +تعرفوا تعودوا في الآخرطلعت هيك شباب هذه هي النتيجة + +363 +00:26:36,420 --> 00:26:39,680 +طبعا هذه مثال بدي شباب أحفظ نتيجته بس بدي أعرف كيف + +364 +00:26:39,680 --> 00:26:43,560 +اتعامل معاه و كيف النتيجة عملتها بس بيقوللي بدي + +365 +00:26:43,560 --> 00:26:47,520 +أعمل شوية test عليه بيقوللي هدا ال silicon 2L لو + +366 +00:26:47,520 --> 00:26:50,760 +كان طويل طويل كتير كيف تتبقى النتيجة بتتحسن + +367 +00:26:50,760 --> 00:26:53,500 +بيقوللي سهلة أخدت ال limit انا في ال calculus ايه + +368 +00:26:53,500 --> 00:26:57,420 +ولا لا لما يكون ال طويل كتير صارت هذه مليون دينار + +369 +00:26:57,420 --> 00:27:00,740 +لو هذه دينار بتكونيا دينار الله صحيح عليه الدينار + +370 +00:27:01,640 --> 00:27:04,060 +أيش صار هنا فيه؟ التربيع .. ايش جزء التربيع ليه + +371 +00:27:04,060 --> 00:27:10,410 +التربيع؟ راح تقيله اليهافبتنينها تنينها فتطلع + +372 +00:27:10,410 --> 00:27:13,110 +النتيجة الحلوة طبعا ليش حاجة نطلعها عادة مقولش + +373 +00:27:13,110 --> 00:27:18,370 +بنجيبها و بنصفطها if the wire is infinitely long + +374 +00:27:18,370 --> 00:27:22,990 +يعني L goes to مدى نهاية the term under the square + +375 +00:27:22,990 --> 00:27:27,010 +root هذا يعني in the last expression reduces + +376 +00:27:27,010 --> 00:27:32,270 +simply to L لأنه عادى راحت جزء تربيه L مع هنا + +377 +00:27:32,270 --> 00:27:35,730 +وبالتالي النتيجة هدا هي هذا ال circuit طويل جدا + +378 +00:27:35,730 --> 00:27:38,960 +برضه ممكنش تحفظهبير بسبب المنطقة اتنين باقية بس + +379 +00:27:38,960 --> 00:27:43,220 +انا بدي اياكم تذكروها انه جيبناها لانه قانون أمبير + +380 +00:27:43,220 --> 00:27:47,560 +بشبه قانون جاوس قانون جاوس لا ينطبق إلا على أشكال + +381 +00:27:47,560 --> 00:27:50,220 +معينة ذاكرين السلك الطويل في قانون جاوس إيش كان + +382 +00:27:50,220 --> 00:27:56,040 +شرطه يكون طويل جدا أمبير زيه بيقولك بينفعش ينطبق + +383 +00:27:56,040 --> 00:28:01,720 +على أي سلك بس السلك الطويلة جدا فحل عن طريق أمبير + +384 +00:28:02,960 --> 00:28:05,780 +لسلك طويل و هنطلع حاجة نتيجة كمان مرة عشان كده + +385 +00:28:05,780 --> 00:28:09,760 +حطيناها لان لسلك طويل جدا طبعا احنا حلناها و + +386 +00:28:09,760 --> 00:28:13,340 +تكملاته كمان و عملنا سبك و عملنا تان و غلبنا حانة + +387 +00:28:13,340 --> 00:28:17,360 +هناك أنبير بيطلحها بنص سطر الشخصية زي ما عمل gauss + +388 +00:28:17,360 --> 00:28:24,440 +لكن احنا الان مش وقته واحدة واحدة كمان مثالبقول يا + +389 +00:28:24,440 --> 00:28:29,320 +وير is built to form an arc of radius capital R + +390 +00:28:29,320 --> 00:28:34,780 +and central angle theta هاي السيليك الأخضر عملت + +391 +00:28:34,780 --> 00:28:41,100 +سيليك هيك شكله ومرارت فيه طيار هاي الطياري طبعا في + +392 +00:28:41,100 --> 00:28:46,540 +الجسم يكون هيك ماشي if the wire carries a current + +393 +00:28:46,540 --> 00:28:50,020 +I calculate the magnetic field at point O the + +394 +00:28:50,020 --> 00:28:55,200 +center of the earth وين بدهوا بدهم هنا؟كيف يتعامل + +395 +00:28:55,200 --> 00:29:00,020 +مع السلك الشباب؟ تنتين + +396 +00:29:00,020 --> 00:29:04,560 +مستقيمات و واحدة مجاوسة صح ولا لأ؟ نبدأ بالمستقيمة + +397 +00:29:04,560 --> 00:29:13,460 +جديش بتعطيني بيه للمستقيمة هذه؟ ليش؟ لأنه على نفس + +398 +00:29:13,460 --> 00:29:19,340 +المحورة لأن الزاوية إما سفر أو مائة و تمانين درجة + +399 +00:29:19,340 --> 00:29:24,920 +إذا هاي في جزئين بيطلعوش مجال solutionبيقول الـ + +400 +00:29:24,920 --> 00:29:29,940 +the wire consists of three parts two straight + +401 +00:29:29,940 --> 00:29:36,140 +portions and a curved one أمين طيب طلع ال straight + +402 +00:29:36,140 --> 00:29:40,020 +portions هذي الأزرق هو R ولا لأ مش بعد العنصر + +403 +00:29:40,020 --> 00:29:46,340 +تعتبر الأحمر هو العنصر الأحمر هو عنصري R المسافة + +404 +00:29:46,340 --> 00:29:48,940 +بين العنصر و النقطة الخط الأزرق + +405 +00:29:51,620 --> 00:29:57,360 +الخط الأحمر صح ولا لأ اروح هنا جديش الزاوية بين R + +406 +00:29:57,360 --> 00:30:04,680 +و L؟ Zero و هنا في الحالتين جديش B؟ Zero يعني اللي + +407 +00:30:04,680 --> 00:30:08,760 +مش حافظ الشغلة يطبقها يقوله انا ناسي ابدا يشمل و + +408 +00:30:08,760 --> 00:30:13,160 +يشتغل بس ماينساش انه صين سفر؟ سفر وصين 180؟ سفر + +409 +00:30:13,160 --> 00:30:18,860 +وضيعه في الآخر بيذكر انه قاعد و بضيعه طيبالان + +410 +00:30:18,860 --> 00:30:28,100 +بالنسبة للمقاومة الواضحة لدينا الـ L كيف اتجاه + +411 +00:30:28,100 --> 00:30:31,320 +ال L هذه المجوزة؟ + +412 +00:30:36,020 --> 00:30:39,340 +لأن هو مظبوط هو هيك فبركات كون عند كل نقطة مختلفة + +413 +00:30:39,340 --> 00:30:42,780 +ال direction معناته اذا عن كل نقطة بتاخد مماس لما + +414 +00:30:42,780 --> 00:30:45,700 +تاخد عنصر المعناته متحددة النقطة عند هذه النقطة + +415 +00:30:45,700 --> 00:30:48,660 +هدا هي طبعا انا اعملك هيك عشان تكون عدلة ادم + +416 +00:30:48,660 --> 00:30:53,760 +اعملها بصورة مختلفة هاي DL جدشي الزيوة بين DL وR + +417 +00:30:53,760 --> 00:31:00,060 +90 لان مماس نص قطر هالR نص قطر ولا لأ طيب غير عنصر + +418 +00:31:00,060 --> 00:31:03,760 +R بتتغير ده نص قطر لان بتتغير ليا حضرة التكامل + +419 +00:31:03,760 --> 00:31:05,500 +عالدي من يجيب ال direction + +420 +00:31:09,160 --> 00:31:16,900 +cross cross الكل جابها cross cross ضلك لف أصابعك + +421 +00:31:16,900 --> 00:31:19,120 +لما يضربوها عنده النقطة شوف كده بدربو النقطة + +422 +00:31:19,120 --> 00:31:24,160 +بدربوها النقطة على اللوح صح ايه ده هيا بتعمل هيك و + +423 +00:31:24,160 --> 00:31:31,720 +دلك ماشي لما تصير أصابعك هيك بالظبط تم؟ + +424 +00:31:31,720 --> 00:31:35,530 +طيب كل العناصر الناس القضية ولا لأ؟كل العراسة اللي + +425 +00:31:35,530 --> 00:31:42,410 +مجوثة كلها into the beigeبقولوا ايش تغير على ال DB + +426 +00:31:42,410 --> 00:31:47,550 +بيقولوا DB بيساوي من نقطة I DL كوص R unit vector + +427 +00:31:47,550 --> 00:31:53,610 +DL كوص واحد اللي هي DL في واحد في صين الزاوية على + +428 +00:31:53,610 --> 00:31:58,010 +R تربية هذه R بتحط محلها كبة ال R اه هي كبة ال R + +429 +00:31:58,010 --> 00:32:02,330 +بيقولوا Note that each element on the arc wire + +430 +00:32:02,330 --> 00:32:06,690 +gives a contribution DB which is directed into the + +431 +00:32:06,690 --> 00:32:10,850 +pageكلهم into the beige و ال sin θ ليش هيعتبرها + +432 +00:32:10,850 --> 00:32:20,210 +واحد؟ 90 تلاحق في جمهر مرة بديل R اسموها R capital + +433 +00:32:20,210 --> 00:32:24,810 +صح و طلعه عبر التكامل ايش تفرجه التكامل؟ DL ايش + +434 +00:32:24,810 --> 00:32:28,150 +تكمل ال DL؟ طول السنة كان السنة الجوز صح؟ طول + +435 +00:32:28,150 --> 00:32:31,730 +الجوز ايش تسيبه؟ بالزاوية R في الزاوية المحصورة + +436 +00:32:31,730 --> 00:32:38,880 +هذا Rθ ولا مش Rθ؟ هذا هيUsing the fact that the + +437 +00:32:38,880 --> 00:32:42,720 +length of the arc is L بتساوي R في θ, the result + +438 +00:32:42,720 --> 00:32:46,300 +reduces to هاي قانون، برضه مش قانون هو يعني، برضه + +439 +00:32:46,300 --> 00:32:51,160 +نتيجة، برضه نتيجة شباب طبعا لما تحلوا في هذا + +440 +00:32:51,160 --> 00:32:54,600 +الكتاب اكتفي، بيجيبكم أسئلة تطبيق مباشر على + +441 +00:32:54,600 --> 00:32:57,740 +القانون، يعني هو على اعتبار أنه القانون تعارفه و + +442 +00:32:57,740 --> 00:33:01,320 +بتبدأ تنقله من الكتاب، فبيجيب تطبيق مباشر، لو كانت + +443 +00:33:01,320 --> 00:33:04,280 +الزاوية تلاتين، إيش هحط هنا؟بقى على ستة ماتحطش + +444 +00:33:04,280 --> 00:33:07,220 +تلاتين مش تحطها تلاتين و تطلع الجواب فى برا يجي + +445 +00:33:07,220 --> 00:33:10,080 +الجواب مختلف يقولوا يا رب العين غلط لأ إذا حطتها + +446 +00:33:10,080 --> 00:33:13,340 +تلاتين ماتطلعش الجواب مش هتحط بقى على ستة ذاكرين + +447 +00:33:13,340 --> 00:33:20,080 +في الفيزيائية فقلنا لما نقول sine خمينا نقول فيتا + +448 +00:33:20,080 --> 00:33:25,700 +نفضلت هيك و نكامل او نفاضل ماش بيصير فيتا كوصين + +449 +00:33:25,700 --> 00:33:28,840 +فيتا تي صح ولا لأ حدث انت كده بيعملها و حدث انت + +450 +00:33:28,840 --> 00:33:33,120 +كده بيعملهاهذه فيتا بتكون بال radian هذه فيتا بال + +451 +00:33:33,120 --> 00:33:36,340 +degree لما تكون فيتا جوا الصين أو جوا القصين أو + +452 +00:33:36,340 --> 00:33:40,380 +جوا التان بحوقها degrees لكن لما تكون برا بعتبرها + +453 +00:33:40,380 --> 00:33:43,940 +بال radian تمام فهنا هذه برا فبالتالي هذه مانفعش + +454 +00:33:43,940 --> 00:33:46,920 +احطها تلاتين درجة او كسعين درجة باي ع اتنين مية و + +455 +00:33:46,920 --> 00:33:52,940 +تمانين درجة باي تمام طيب هذه لجوس طيب لو الجوس كبر + +456 +00:33:52,940 --> 00:33:57,720 +كله بيضاله جوس او بيضالش جوس ايش هحط محل فيتا لو + +457 +00:33:57,720 --> 00:34:03,370 +كان دائرة كاملةتنين باير اتنين باير و بقدر اجيبه + +458 +00:34:03,370 --> 00:34:10,070 +if the wire is a circular ring then the magnetic + +459 +00:34:10,070 --> 00:34:13,530 +field at its center is found from the last + +460 +00:34:13,530 --> 00:34:17,390 +equation by letting θ بالساوية تنين باير فتحقق + +461 +00:34:17,390 --> 00:34:22,970 +تنين باير و طلعت هيك هذا شدت المجال المغناطيسي عند + +462 +00:34:22,970 --> 00:34:28,030 +مركز دائرة عند مركز دائرة بده احفظه هذا بده احطه + +463 +00:34:29,480 --> 00:34:37,340 +الـ Decenter بتساوي new root I على اتنين R قد + +464 +00:34:37,340 --> 00:34:45,080 +هتجيب يعني هاي circle و هنا هو مرات كده بيجيب مرات + +465 +00:34:45,080 --> 00:34:48,960 +كده في المجال عاد و نقول هاي circle او جدلي بيه طب + +466 +00:34:48,960 --> 00:34:52,920 +عم تحس هذا القانون لا يحفظ كده تجيب جدلي بيه هجيب + +467 +00:34:52,920 --> 00:34:57,160 +.. ب .. ب .. بجسمها كام جطعة على هذا مافيش غير + +468 +00:34:57,160 --> 00:35:02,250 +واحدةطبعا بقول دي بيكتفير نفسه بتفير هيك بقول يا + +469 +00:35:02,250 --> 00:35:07,710 +نصري هي DL مظبوط ولا لأ؟ هي R هي نفس كابتن ال R + +470 +00:35:07,710 --> 00:35:14,910 +ولا لأ؟ اتوا بقول DB سوى Mu0 R DL cross R يوم + +471 +00:35:14,910 --> 00:35:18,130 +انفكتور على R تربية هي قانون هيك بدة بيه صدرتله + +472 +00:35:18,130 --> 00:35:26,840 +تمام بتساوي Mu0 I على كابتن ال R تربية DL DLفي + +473 +00:35:26,840 --> 00:35:31,720 +magnitude في صيني الزاوية كده الصيني الزاوية؟ كيف + +474 +00:35:31,720 --> 00:35:35,280 +بيحظروا الشباب؟ بعدين بقول انه في هذا كيف تجاه + +475 +00:35:35,280 --> 00:35:40,260 +التيار؟ تجاه .. تجاه المجال sorry .. تجاه المجال + +476 +00:35:40,260 --> 00:35:47,240 +كيف بيدعرفوه؟ خارج الكل يعرفوا انه خارج؟ شباب + +477 +00:35:47,240 --> 00:35:53,100 +هايوةبكون هيك طبعا بعد كده بيقول لكل العصر اللي + +478 +00:35:53,100 --> 00:35:56,460 +خارج مكانه ايش بتوجيه التكامل؟ تكامل ال DLL + +479 +00:35:56,460 --> 00:36:00,240 +استرجوص محيط اتنين بيقعد و حياتي بيبقى بتطلع نفس + +480 +00:36:00,240 --> 00:36:06,000 +النتيجة هذه في كل حوالي طيب كمان مثال حد المثال + +481 +00:36:06,000 --> 00:36:09,440 +بتعمل له نفس ال ring بيقول ليه ال ring طبعا طلعت + +482 +00:36:09,440 --> 00:36:12,330 +ال ring بس لمين هي دي ده نقطة وين؟هذه في الـ + +483 +00:36:12,330 --> 00:36:14,610 +Center النقطة اللي انا بديش احطها في الـ Center + +484 +00:36:14,610 --> 00:36:18,590 +لنشوف ايش بيصير معاه بقول ا consider a circular + +485 +00:36:18,590 --> 00:36:25,890 +loop يعني رنك of radius capital I ا ا راينج in the + +486 +00:36:25,890 --> 00:36:30,630 +YZ بلين if the loop carries a current I as shown + +487 +00:36:30,630 --> 00:36:34,370 +find the magnetic field at point P a distance Y + +488 +00:36:34,370 --> 00:36:37,810 +from the Center اذا مشحت ال Center هاي Loop + +489 +00:36:37,810 --> 00:36:42,590 +شايفينها؟بدوش بيه عند السنتار بدو بيه هناك شايفين + +490 +00:36:42,590 --> 00:36:45,610 +وين بدو بيه؟ وقتيش هذه النتيجة تطلع نفس النتيجة + +491 +00:36:45,610 --> 00:36:49,830 +هذه لما النقطة تصير في المركز يعني لما y تساوي صفر + +492 +00:36:49,830 --> 00:36:54,210 +صح ولا لأ؟ اذا y ساوي صفر مفروض نتيجة هذا المثال + +493 +00:36:54,210 --> 00:36:59,710 +وهذه تطلع نفسها تمام كمان مرة كان بيدحل قال لأخوه + +494 +00:36:59,710 --> 00:37:02,910 +لأنصر هاي الطيارة شايفينه الطيارة شباب بيداخد أنصر + +495 +00:37:02,910 --> 00:37:05,410 +بيداخد أنصر + +496 +00:37:08,970 --> 00:37:12,110 +العنصر دايما من السلك والسلك يالا حلقة يالا ناخد + +497 +00:37:12,110 --> 00:37:15,970 +عنصر شباب تنجن to the loop and therefore the angle + +498 +00:37:15,970 --> 00:37:19,290 +between the eye and eye is 90 هذه ما النجعة فيها + +499 +00:37:19,290 --> 00:37:26,290 +لو كنت تاخد عنصر هنا اتجاه التيار صحكشوف شبابها + +500 +00:37:26,290 --> 00:37:29,890 +هاي ال loop هيك الطيار بمشي هنا كيف بتكون ال loop + +501 +00:37:29,890 --> 00:37:35,970 +ايها طب هنا خارج هنا بتكون هيك طب انا فاهم ان انا + +502 +00:37:35,970 --> 00:37:38,710 +نصم ايه اللي انا نصم هيك عشان كده حكاية البرغي + +503 +00:37:38,710 --> 00:37:43,250 +المقدمة تواصل كتير بساعدونا ال loop انا عامله هيك + +504 +00:37:43,250 --> 00:37:47,550 +طب انا كالكتاب عامل ال loop والفوجوف شوية انا هيك + +505 +00:37:47,550 --> 00:37:53,990 +اعتقد هيك ال loop احلى تنفهم اكتر تمام بعد كده + +506 +00:37:53,990 --> 00:37:54,910 +يقول ايه اشتغل + +507 +00:37:58,410 --> 00:38:01,270 +عمودية على اللوحة مش عمودية على اللوح مش ايه + +508 +00:38:01,270 --> 00:38:05,410 +العمودية على اللوح داخل ولا خارج طب اه المسافة بين + +509 +00:38:05,410 --> 00:38:09,650 +العنصر و النقطة على اللوح في اللوح جديش الزاوية + +510 +00:38:09,650 --> 00:38:18,970 +بينهم تسعين درجة تمام لأن هذا شباب هذا + +511 +00:38:18,970 --> 00:38:23,850 +هيه و هذا هيه جديش الزاوية بينهم تسعين اذا صينا + +512 +00:38:23,850 --> 00:38:28,540 +تسعين واحد و هو ايه عشان اما تحط القانون الآنهي + +513 +00:38:28,540 --> 00:38:33,320 +ارها دي مش مشكلة بيقول لي دي بي بيصومني not id ال + +514 +00:38:33,320 --> 00:38:37,520 +sin فيتا على r تربيع هادي ال sin فيتا 97 درجة + +515 +00:38:37,520 --> 00:38:40,360 +فطلعت هيك هجيت r تربيع اللي هي هادي استخدام + +516 +00:38:40,360 --> 00:38:43,660 +القانون فيفا غوص r تربيع زاد y تربيع مافيش اي + +517 +00:38:43,660 --> 00:38:48,280 +مشكلة تمام بتجيب ال direction لأ كي بتجيب ال + +518 +00:38:48,280 --> 00:38:54,420 +direction يلا يجيبولي ال direction تبع بي احنا + +519 +00:38:54,420 --> 00:39:02,320 +خربطنا اعتمدنا على ايدناحطوا رأي افهمكم معين، مع + +520 +00:39:02,320 --> 00:39:09,840 +التيار، التيار اينه؟ كُس، هي التيار، مظبوط؟ كيف + +521 +00:39:09,840 --> 00:39:15,200 +يجب ان يكون؟ من يقول لي كيف؟ مش هي تجاه التيار؟ + +522 +00:39:15,200 --> 00:39:20,900 +انا اكفلتكم منها دي، هي تجاه التيار شباب، + +523 +00:39:20,900 --> 00:39:24,780 +هي النقطة B، كيف اتجاهها؟ + +524 +00:39:34,140 --> 00:39:35,080 +مش هيك بيكون؟ + +525 +00:39:40,250 --> 00:39:45,070 +مش مش تقول الحكي هنا؟ بتكون مماس والمماس عمودي على + +526 +00:39:45,070 --> 00:39:48,210 +نص القطر؟ كيف نتعامل مع نص القطر يا شباب؟ نص القطر + +527 +00:39:48,210 --> 00:39:51,970 +هي المسافة بين السلك والنقطة، هيك يعملوا، مش هالنص + +528 +00:39:51,970 --> 00:39:55,850 +القطر؟ بين النقطة والسلك، لأن النقطة على الدائرة + +529 +00:39:55,850 --> 00:40:00,490 +والسلك هو مركزي الدائرة، تمام؟ إذن دائما نص قطركم + +530 +00:40:00,490 --> 00:40:03,430 +المسافة بين السلك والنقطة، بعدين لما تيجي ال + +531 +00:40:03,430 --> 00:40:06,990 +direction، ال temple هيكون عمودي، حاجة لو واحد + +532 +00:40:06,990 --> 00:40:11,720 +جالة فوق، طلعت هيكظلط .. لو حد عملها ايه .. برضه + +533 +00:40:11,720 --> 00:40:15,820 +غلط .. اذا بدنا نعمل ماهو .. وقت إيش هذه بتكون هيك + +534 +00:40:15,820 --> 00:40:19,000 +لما تكون النقطة هنا .. وقت إيش بتكون لأعلى لما + +535 +00:40:19,000 --> 00:40:22,580 +تكون النقطة هنا .. صح ولا لأ .. أما هنا طب أنا كده + +536 +00:40:22,580 --> 00:40:26,040 +بدي أعملها عشان أي حالة .. المشهور بيقوللي المجال + +537 +00:40:26,040 --> 00:40:31,200 +المغناطيسي عبارة عن دوائر مركزها إيش .. السلك .. + +538 +00:40:31,200 --> 00:40:34,980 +إذا روسم دائرة .. هاي دائرة .. هاي المجال + +539 +00:40:34,980 --> 00:40:38,770 +المغناطيسيهذه المجال اللى مانا ماتيصى هى انا بقدر + +540 +00:40:38,770 --> 00:40:41,750 +اجيب ما .. مافيش ممكن يخبط نص القطر بيانه ولا لا + +541 +00:40:41,750 --> 00:40:50,290 +مابينش نص القطر؟ HDB HDB واضحة شباب؟ طيب، غيره + +542 +00:40:50,290 --> 00:40:56,950 +عنصر طيب + +543 +00:40:56,950 --> 00:41:01,950 +خلّيني أغيره عنصر حلو، عنصر هذا شايفينه؟ هى بيكون + +544 +00:41:01,950 --> 00:41:07,340 +برا ولا مش برا؟ إذا مش بسرعة تيجيإذا مش نفس + +545 +00:41:07,340 --> 00:41:10,200 +الاتجاه نشي و أقعد يا جوه يا عبدالبارح عشان نلف + +546 +00:41:10,200 --> 00:41:13,340 +السلك طب كيف بيدعمل؟ قولي رسم دائرة، قولي مش حالك، + +547 +00:41:13,340 --> 00:41:18,540 +هاي رسم الدائرة حاجات الدائرة هيك بتعمل، مظبوط؟ + +548 +00:41:18,540 --> 00:41:24,600 +إيه زي معناته هي؟ زي بعض هذه التلين الزرق؟ إيش + +549 +00:41:24,600 --> 00:41:31,200 +بضيع؟ بضيع السين، بضيع السين، طيب خلينا نرجع هنا + +550 +00:41:31,200 --> 00:41:31,360 +جوا + +551 +00:41:36,170 --> 00:41:40,470 +وحدة واحدة اقول التالي احنا اشتغل لو بدي اكامل جبل + +552 +00:41:40,470 --> 00:41:44,330 +ما اكامل بدي اعمل Tesla Direction هذا هو الشغل + +553 +00:41:44,330 --> 00:41:48,290 +اللي بشتغله اعمل ال DB هذي مش فيها مشكلة شباب يلا + +554 +00:41:48,290 --> 00:41:53,070 +كامل جالي قبل ما تكامل شوف ال Direction بقول ال + +555 +00:41:53,070 --> 00:41:57,750 +Direction هذا هو DBIt is clear that the direction + +556 +00:41:57,750 --> 00:42:02,190 +of P differs from one element to the other. And + +557 +00:42:02,190 --> 00:42:05,290 +from the symmetry above the y-axis, we conclude + +558 +00:42:05,290 --> 00:42:08,370 +that the x-components cancel and only the y + +559 +00:42:08,370 --> 00:42:09,670 +-components sum up. + +560 +00:42:26,440 --> 00:42:32,640 +الان اشتغلت طبعا عشان تجيب شباب الصينى بدك تكون + +561 +00:42:32,640 --> 00:42:37,200 +cosine صينى و cosine صعب الصينى روح تحط cosine + +562 +00:42:37,200 --> 00:42:41,280 +ثيتا و ثيتا هي بأيه تبعتك هي ثيتا طبعا ثيتا كيف + +563 +00:42:41,280 --> 00:42:47,640 +بدي اجيبها؟ ايش عورقة هادي مع هادي؟ + +564 +00:42:47,640 --> 00:42:52,540 +متممة؟ مظبوط ولا لأ؟ ليش؟ لأن هذا نسقطر وهذا مماس + +565 +00:42:52,540 --> 00:42:55,460 +حلو؟ طب ايش عورقة هادي مع هادي؟ + +566 +00:42:58,330 --> 00:43:02,710 +برضه متأممة إذا هذه وهذه بتأمم وبعد إذا هذه فيتا + +567 +00:43:02,710 --> 00:43:05,730 +صحيح؟ + +568 +00:43:05,730 --> 00:43:10,470 +طب sign فيتا إيش بتساوي؟ كبتة العار عصم العار + +569 +00:43:10,470 --> 00:43:14,550 +مظبوط ولا ده؟ لإن أنا بديها على ال sign لإن أنا + +570 +00:43:14,550 --> 00:43:17,970 +بديها على ال D حطيت sign فيتا لإن هذه ال sign فيتا + +571 +00:43:17,970 --> 00:43:21,970 +عشان ال Y component ال Y component طبعا هيجيب تانة + +572 +00:43:21,970 --> 00:43:26,270 +هو هيعملها أنا مش ناسيبتصفيتها بيساوي كبتة ال R + +573 +00:43:26,270 --> 00:43:29,670 +على small r وكبتة ال small r طلعتها من في تغوص + +574 +00:43:29,670 --> 00:43:35,910 +طلعت بهذا الشكل برضه طلعت كل ثوابت مافيش تكامل ال + +575 +00:43:35,910 --> 00:43:40,090 +DL ايش بيساوي؟ و L ها دي طول الجثة الجثة ايش هي + +576 +00:43:40,090 --> 00:43:48,790 +عبارة عن ايه؟ بائرة محيط يعني اتنين by R تمى + +577 +00:43:48,790 --> 00:43:56,730 +جلي عوض طلعت هيكطب يشوف لو Y سوى 0 بيطلع هذا + +578 +00:43:56,730 --> 00:44:00,390 +القانون اللي بيطلع عشان نجي نجرب Y بيسوى 0 بيصير R + +579 +00:44:00,390 --> 00:44:04,630 +تربيه 3 ع 2 يعني R تكييب R تكييب مع R تربيه بيصير + +580 +00:44:04,630 --> 00:44:11,350 +هذه كلها R بيظبطوا إلى سواء الـ Mu not R هنا في + +581 +00:44:11,350 --> 00:44:15,250 +خطأ معاه هذه R ليست أصلا مش موجودة لأن هذا راحت + +582 +00:44:15,250 --> 00:44:18,510 +معاه هنا على 2 و هذه R + +583 +00:44:22,230 --> 00:44:28,530 +هي نفسها .. هي نفسها .. انا بقول ليه لاتبعوش قانون + +584 +00:44:28,530 --> 00:44:32,230 +.. sub قانون .. قال ليه sub .. لأ انا مش قانون + +585 +00:44:32,230 --> 00:44:36,150 +مركزي .. تمام .. جاي من بيوتانسا وارتلو .. يعني هو + +586 +00:44:36,150 --> 00:44:39,750 +قانون فرعي لكن هم الادموستنتج بالنسبالنا .. احنا + +587 +00:44:39,750 --> 00:44:42,970 +مش قانون .. فطلعت .. اظن ان انا معلق عليه هنا .. + +588 +00:44:42,970 --> 00:44:45,110 +حيث طبعا في خطأ مطبع يا شباب .. هذه ال bye مش + +589 +00:44:45,110 --> 00:44:49,650 +موجودة .. لان طلعت من هنا .. تمام ..not that the + +590 +00:44:49,650 --> 00:44:52,930 +magnetic field at its center is found from the + +591 +00:44:52,930 --> 00:44:56,350 +last formula by letting y equal to zero وطلعت + +592 +00:44:56,350 --> 00:45:01,810 +معايا mu not I على اتنين R زي ما أنا متوقع اذا + +593 +00:45:01,810 --> 00:45:11,770 +الان شباب اتفقنا ان في عندي قانون بيتصدرت لحل او + +594 +00:45:11,770 --> 00:45:18,140 +لإيجاد شدة المجال المغاطيسي عند نقطة ماقبل ما ندخل + +595 +00:45:18,140 --> 00:45:27,600 +على قانون أنبير قال لي في الكعبة هي شحنة هي Q عند + +596 +00:45:27,600 --> 00:45:33,420 +النقطة عادي P في E؟ في E ولا مافيش E؟ إيش E هنا + +597 +00:45:33,420 --> 00:45:39,940 +متساوي؟ و هي R طب حط هنا كمان شحنة Q شرطة + +598 +00:45:48,930 --> 00:45:53,750 +هنا نفس العملية بقول في عندك سلكين تتوقع بينهم قوة + +599 +00:45:53,750 --> 00:45:56,630 +ولا لا بقوله اه السلك بيولد مجال و التاني غصب عنه + +600 +00:45:56,630 --> 00:45:59,740 +يكون فيهمصبوط ولا لا؟ احنا في المشاركة في الماضي + +601 +00:45:59,740 --> 00:46:03,700 +قلنا اي سلك بيحمل تياغ موجود في مجال مخلص يبدو + +602 +00:46:03,700 --> 00:46:06,240 +يتحرك و لا يبدو يتحرك لما قلنا زي الفلان اللي + +603 +00:46:06,240 --> 00:46:09,800 +يتحرك و يحرك السلك اذا معناته لما يكون في عندي + +604 +00:46:09,800 --> 00:46:14,740 +سلكين سلك بيولد مجال وسلك بتأثر في المجال و بيتحرك + +605 +00:46:14,740 --> 00:46:21,000 +كيف نعملها؟يقول consider two long and straight + +606 +00:46:21,000 --> 00:46:24,500 +parallel wires separated by a distance a and + +607 +00:46:24,500 --> 00:46:30,500 +carrying currents I1 and I2 هجيت لجولة أي واحد + +608 +00:46:30,500 --> 00:46:36,400 +بحسب هذه القائدة بولد مجال مغناطيسي ولا لا؟هنا في + +609 +00:46:36,400 --> 00:46:39,020 +مجال المغناطيسي اللي جاي من هذه طب و هذا صار موجود + +610 +00:46:39,020 --> 00:46:43,220 +في مجال المغناطيسي و القانون التبعي بيقول F بيساوي + +611 +00:46:43,220 --> 00:46:48,800 +I L cross ال B هدان ال straight wires نيجي لعبة + +612 +00:46:48,800 --> 00:46:53,640 +السلك في طيار في طيار موجود في مجال المغناطيسي + +613 +00:46:53,640 --> 00:46:57,960 +موجود من جهة الارجل المجال اللي فوق اذا صار هذا + +614 +00:46:57,960 --> 00:47:02,000 +بيتأثر في هذا طب و هذا الموجود في التالت لكل فئرة + +615 +00:47:02,000 --> 00:47:03,380 +فعلا بيحسبها + +616 +00:47:06,050 --> 00:47:13,470 +كل وير يجب أن يتأثر بقوة مغناطية ، بسبب وجودها في + +617 +00:47:13,470 --> 00:47:18,470 +مجال المغناطية الاخر للوير الاخر للوير الاخر للوير + +618 +00:47:18,470 --> 00:47:21,690 +الاخر للوير الاخر للوير الاخر الاخر الاخر الاخر + +619 +00:47:21,690 --> 00:47:21,990 +الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر + +620 +00:47:21,990 --> 00:47:22,050 +الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر + +621 +00:47:22,050 --> 00:47:22,790 +الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر + +622 +00:47:22,790 --> 00:47:24,510 +الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر + +623 +00:47:24,510 --> 00:47:24,570 +الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر + +624 +00:47:24,570 --> 00:47:32,930 +الاخ + +625 +00:47:32,970 --> 00:47:39,630 +من B2 صح ولا لأ بي جاية من B2 تمام we need to find + +626 +00:47:39,630 --> 00:47:44,070 +the magnetic field B2 represented by the wire 2 at + +627 +00:47:44,070 --> 00:47:48,650 +the site of wire 1 مين يقوللي اتجاه المجال + +628 +00:47:48,650 --> 00:47:51,910 +المغناطيسي تبع التحتاني عند النقطة الفجانية + +629 +00:47:55,940 --> 00:48:00,780 +تعملش هيك وانت مش مركز بيدك تحط صبيع هي طلعت غلط + +630 +00:48:00,780 --> 00:48:11,480 +هيك مازبطتش معاك كيف .. للخارج طيب اتجاه المجال + +631 +00:48:11,480 --> 00:48:18,780 +تبع I1 and موضع I2 cross تمام يقول لي for a long + +632 +00:48:18,780 --> 00:48:21,600 +where we had from example ده اللي هدي انا طلعت انا + +633 +00:48:21,600 --> 00:48:28,180 +وياك خلّي اكتشحتها هي قيمتهاالقوة اليسارية تخبرنا + +634 +00:48:28,180 --> 00:48:32,900 +أن الاتجاه لـ P2 هو خارج الـ Beige فهي تجاه الـ + +635 +00:48:32,900 --> 00:48:36,700 +P2، صح يا بابيك و لا لأ؟ هي تجاه الـ P2، خارج الـ + +636 +00:48:36,700 --> 00:48:41,180 +Beige، Dot طب يجب أن نقول القوة عادة القوة، إيش + +637 +00:48:41,180 --> 00:48:48,880 +بتقول قوة؟ F بتساوي I ال cross ال P بتساوي I ال + +638 +00:48:48,880 --> 00:48:50,180 +كيف اتجاهها؟ + +639 +00:48:53,770 --> 00:48:58,550 +أنا بجيب F على واحد اللي معاكم صح ولا لأ اتجاه ال + +640 +00:48:58,550 --> 00:49:08,850 +L مش باتجاه التيار اذا حاطب حالك ب طيب + +641 +00:49:08,850 --> 00:49:17,030 +كدهش تجاهها ايه I cross ال K سالب G إذا القوة كيف + +642 +00:49:17,030 --> 00:49:27,280 +بتكون لأسفل لأسفل هي F واحدأتنافر و لا انجذب انجذب + +643 +00:49:27,280 --> 00:49:33,940 +انجذب تمام القوة قدامك الأسفل يعني بتجرب على السلك + +644 +00:49:33,940 --> 00:49:38,960 +التاني يعني انجذب عشان هم مع بعض أكس واحد من + +645 +00:49:38,960 --> 00:49:44,140 +الطيرات بتنافر أكس واحد بتنافر بيقول the force + +646 +00:49:44,140 --> 00:49:50,630 +acting on where one is طلحها هي طلعت ناقش جيهI قصر + +647 +00:49:50,630 --> 00:49:55,330 +K بقى J يعني لأسفل بقول that if the direction of + +648 +00:49:55,330 --> 00:49:59,170 +the force F is directed toward wire 2 that if the + +649 +00:49:59,170 --> 00:50:03,030 +force between the two wires is attractive طبعا + +650 +00:50:03,030 --> 00:50:05,810 +المعلومة المعرفة it is easy to show that if the + +651 +00:50:05,810 --> 00:50:08,990 +two currents are in opposite directions the force + +652 +00:50:08,990 --> 00:50:15,490 +will be repulsive generally speaking the + +653 +00:50:15,490 --> 00:50:18,670 +wires attract each other + +654 +00:50:27,660 --> 00:50:32,480 +والعكس صحيحهذه المعلومة اللى أخدناها وبرضه احنا + +655 +00:50:32,480 --> 00:50:36,220 +هذه المعلومة اللى بنحطها بنطبقش عليها اسلاف ان انا + +656 +00:50:36,220 --> 00:50:38,640 +بدي اجيب force بدي اجيبها زى ما جيبتها المرة + +657 +00:50:38,640 --> 00:50:42,120 +الماضية ان انا بدي اعمل directions وجيب P واطلحها + +658 +00:50:42,120 --> 00:50:45,940 +بـI و لا نقص I جيه ولا نقص جيه بدي استخدمها بس هذه + +659 +00:50:45,940 --> 00:50:49,320 +المعلومة طلعت هيك الله سهل عليها مافيش عندى اي + +660 +00:50:49,320 --> 00:50:51,660 +مشكلة انها تكون موجودة + +661 +00:50:54,860 --> 00:51:00,300 +مثال بيقولي find the magnetic force exerted on the + +662 +00:51:00,300 --> 00:51:03,480 +other side of the rectangular loop shown بيقولي + +663 +00:51:03,480 --> 00:51:09,380 +هذه عندك سلك الأخضر بيحمل تيار أي واحد وال loop + +664 +00:51:09,380 --> 00:51:17,160 +بتحمل تيار أي اتنين سؤالي يا شباب ال loop مغلقة + +665 +00:51:17,160 --> 00:51:22,500 +ولا مش مغلقة طيب بيديش الفرصة على ال loop في كل ال + +666 +00:51:22,500 --> 00:51:24,160 +loop ليش؟ + +667 +00:51:30,130 --> 00:51:33,850 +مش هو .. هو؟ لأ أنا مجال مش من الظهر، بالله يا + +668 +00:51:33,850 --> 00:51:36,830 +سيدي اسمه يا مين اللي بيجوي على خطوط المجال و يدخل + +669 +00:51:36,830 --> 00:51:43,670 +يسوي خارجها؟ بشغل ع فرقسة مجاهد؟ انت بتاعته؟ اه ده + +670 +00:51:43,670 --> 00:51:45,930 +اللي بيبقى بيصيحي وراك، من مين جاه؟ اه ده .. ده .. + +671 +00:51:45,930 --> 00:51:46,570 +ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده + +672 +00:51:46,570 --> 00:51:46,950 +.. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده .. + +673 +00:51:46,950 --> 00:51:48,410 +ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده + +674 +00:51:48,410 --> 00:51:49,690 +.. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده .. + +675 +00:51:49,690 --> 00:51:54,550 +ده .. دهإن ال force ع ال closed loop بتكون صفر في + +676 +00:51:54,550 --> 00:51:56,310 +عندى شرطين اللي ليه بتكون closed و ال magnetic + +677 +00:51:56,310 --> 00:52:01,950 +field يكون uniform هل ال magnetic field هنا بيساوي + +678 +00:52:01,950 --> 00:52:14,050 +هنا لأ + +679 +00:52:14,050 --> 00:52:15,690 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +680 +00:52:15,690 --> 00:52:16,370 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +681 +00:52:16,370 --> 00:52:20,250 +لأ لأ + +682 +00:52:20,250 --> 00:52:20,430 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +683 +00:52:20,430 --> 00:52:22,810 +لأهنا ماشيين الفواب مش هال ماشيين الفواب يعني هنا + +684 +00:52:22,810 --> 00:52:27,350 +مقادير مختلفة تمام هو يعمل طالب من أيش طالب شباب؟ + +685 +00:52:27,350 --> 00:52:29,910 +يقولي اوديتلي القوة بس هي اتكلم على ال other side + +686 +00:52:29,910 --> 00:52:33,410 +عبدالعلي فوجاني بدي عبدالعلي فوجاني عادة بنشوف + +687 +00:52:33,410 --> 00:52:36,730 +احنا بنطلع كل واحد ضاع بس هذا هو مقبوض بقول لما + +688 +00:52:36,730 --> 00:52:44,050 +سيطر القوة بدي قوة بقول القوة بيتسمي F بيسوي I L + +689 +00:52:44,050 --> 00:52:49,600 +cross ال B صح ولا لأ ال B أعطاني أعلى بدي أجيبهامن + +690 +00:52:49,600 --> 00:52:57,080 +وين هي ال BJ من الخط الأخضر تفت تجاهها and there + +691 +00:52:57,080 --> 00:53:01,620 +cross كيش قيمتها قال لي قيمتها تاول انا غششتكي + +692 +00:53:01,620 --> 00:53:12,300 +ايها ال unit I على 2 by D او R خليها هاي + +693 +00:53:12,300 --> 00:53:19,770 +دي حطها و اشتغل خليني أشوف solution the wireI1 + +694 +00:53:19,770 --> 00:53:24,410 +creates a magnetic field given by .. هاي هقرص .. + +695 +00:53:24,410 --> 00:53:27,730 +هاي صار في عندي مجال مغناطيسي .. اتطلع على إيش + +696 +00:53:27,730 --> 00:53:32,470 +هذه؟ على X طيب إيش عوض مع هال X هنا في القانون + +697 +00:53:32,470 --> 00:53:39,910 +هذا؟ إيش هحط X؟ إيه؟ هو أنا بدي القوة عوين شباب .. + +698 +00:53:39,910 --> 00:53:42,010 +بدي القوة علي هذا الطلاب .. إيش هحط X؟ + +699 +00:53:53,940 --> 00:53:58,940 +هو يعني ايه؟ خلّيني أسأل .. في مجال هنا؟ .. هل .. + +700 +00:53:58,940 --> 00:54:02,480 +هو المفروض اللي بيحط شربار .. هو المفروض اللي بيحط + +701 +00:54:02,480 --> 00:54:07,100 +مليون .. صح ولا لأ؟ لأنه .. وين خطوط أصبعك هنا في + +702 +00:54:07,100 --> 00:54:09,740 +المجال؟ إذا نقول أنك تحط أصبعك هنا و يكون في خط + +703 +00:54:09,740 --> 00:54:16,220 +مجال .. و هذه خطوط مجال يعني هي .. و طبعا .. هنا + +704 +00:54:16,220 --> 00:54:20,660 +مش بيبقى خط crossبعده اذا هذي اكتر بس انا اخترت + +705 +00:54:20,660 --> 00:54:23,500 +اربعة بس عشان ما تزعلش انت زعلان انا اربعة المفروض + +706 +00:54:23,500 --> 00:54:28,060 +احضر عشرة تمام؟ يعني هذا بس تمثيل يعني مش اكتر انه + +707 +00:54:28,060 --> 00:54:34,840 +في عدة خطوط مجاني شباب اشعار محالي اتسهل ايه؟ اذا + +708 +00:54:34,840 --> 00:54:37,480 +عوّبتوا ايه معناته ان انتوا بس ماخدين عند هذا + +709 +00:54:37,480 --> 00:54:41,100 +الجزء و اذا خدتوا بيه مفهش اذا معناته ان انت + +710 +00:54:41,100 --> 00:54:47,520 +تاخدوا انصرلأيش؟ لأن بيما ثابت و احنا حطينا قانون + +711 +00:54:47,520 --> 00:54:53,960 +قبل ما نحط ال شرطة قلنا القانون الأصلي F بتساوي I + +712 +00:54:53,960 --> 00:54:59,140 +تكامل D L cross بيما هى التكامل هى القانون الأصلي + +713 +00:55:00,440 --> 00:55:04,780 +هل جيت إذا مستقيم كنا تكامل ال DLL صح أو لا؟ إذا + +714 +00:55:04,780 --> 00:55:08,640 +مش مستقيم كنا تكامل ال DLL شرطا بس في الحقيقة كنا + +715 +00:55:08,640 --> 00:55:13,320 +نكون بشرط انهاش بيتكون Uniform هل هنا بيه Uniform؟ + +716 +00:55:13,320 --> 00:55:15,620 +إذا ما كنت بيبقى بتستخدم الخبز بلحمه و شحمه زي ما + +717 +00:55:15,620 --> 00:55:20,520 +هو بتستخدمه كذلك طب إيش يا أنا ده؟ DL إذا غصب عنك + +718 +00:55:20,520 --> 00:55:24,740 +بتتاخد DL غصب عنك بتتاخد DL الآن بتهيزش تكامل + +719 +00:55:24,740 --> 00:55:26,060 +بالتالي + +720 +00:55:27,830 --> 00:55:31,670 +يقول لي as the magnetic field is not constant + +721 +00:55:31,670 --> 00:55:36,950 +along the top side of the loop we have to divide + +722 +00:55:36,950 --> 00:55:42,230 +it into small elements each of length dx هاي عنصري + +723 +00:55:42,230 --> 00:55:46,790 +هاي خدت عنصري صغير هاي dl طبعا انا اعتبرها dx the + +724 +00:55:46,790 --> 00:55:54,170 +force on one of this element is اخد الdf بالساعة + +725 +00:55:54,170 --> 00:56:03,280 +I2 اللي هي هذهفي dx cross b1 وهي b1 أولت عنها هجيت + +726 +00:56:03,280 --> 00:56:08,060 +ال direction I cross K طلعت جيه وهذا هي dx على x + +727 +00:56:08,060 --> 00:56:13,400 +تعرفوا تكملوها طبعا بيكوني كامل الآن طلعت هيك إيش + +728 +00:56:13,400 --> 00:56:17,760 +تكمل dx على x طب حولت كامره طلع عليها x بعت إيه + +729 +00:56:17,760 --> 00:56:22,560 +شايفين إيه ال x بتعرفنا من بداية الضلع لإلهات + +730 +00:56:22,560 --> 00:56:31,040 +الضلع إيش تطلعمن A ل A ذات B طلعتها طلعت هي طب انا + +731 +00:56:31,040 --> 00:56:34,740 +سؤال يال لو بدي اديه ع الصيد التحتانى ايش بتتوقع + +732 +00:56:34,740 --> 00:56:38,880 +يطلع بالظبط زيه بس بالسالب عشان كده كنا بضايقه بعد + +733 +00:56:38,880 --> 00:56:45,420 +لكن لو بدي اديه بتقولها حد يا شباب في ضرورة اخد + +734 +00:56:45,420 --> 00:56:53,280 +عناصر لأن ال B بحط مادري X أيش A و بشتغل على + +735 +00:56:53,280 --> 00:57:00,560 +القانون هذا يعنيDemonstrate طب ايه هذا؟ بيضايحوا + +736 +00:57:00,560 --> 00:57:06,300 +بعض؟ لأ لإن واحد ايه واحد بيه إذا مايساووش بعض هذا + +737 +00:57:06,300 --> 00:57:12,520 +بيه أقل من هذا لإن هذا أبعد وبالتالي باكر معاقصين + +738 +00:57:12,520 --> 00:57:15,520 +لكن مايساووش بعض لإن بيروح من السفر لإن بيقول خمسة + +739 +00:57:15,520 --> 00:57:20,020 +نقص ثلاثة سفر؟ لأ لكن خمسة نقص خمسة سفر وبالتالي + +740 +00:57:20,020 --> 00:57:22,900 +تطلع عندي القيمة بهذا الشكل + +741 +00:57:27,070 --> 00:57:32,490 +هي جي جي ها عشان بداش نخلط بعيدين كتير شباب قاعد + +742 +00:57:32,490 --> 00:57:37,490 +يجي اليوم ناس يخدموها بص مرتين لما نجي دي ميو اللي + +743 +00:57:37,490 --> 00:57:41,070 +هي مدنة باب الموميتر وهي سهلة بداش واحد يقول اي + +744 +00:57:41,070 --> 00:57:48,160 +قاعد ياخد فهي الميولا تنجد إلا في loops مظبوط ولا + +745 +00:57:48,160 --> 00:57:52,380 +لا مش بالساوي ال I في E و ال E مساعة و المساعة + +746 +00:57:52,380 --> 00:57:55,760 +المنفعجة لكل loop و التالي هدا هي ال loop أصابعك + +747 +00:57:55,760 --> 00:57:59,740 +الأربع لوب هي ال loop كانت سهلة هجد ال cross + +748 +00:57:59,740 --> 00:58:02,020 +product تبقى الفوز تعملوش بالإيديان عشان ما + +749 +00:58:02,020 --> 00:58:05,940 +تبتخموه تعملوا I وG وK وخلاص بطولة عنكم بس اتجاه + +750 +00:58:05,940 --> 00:58:11,260 +ال Bالاتجاه ال B هاي تيارك هاي مدتك فيه بس بدك + +751 +00:58:11,260 --> 00:58:13,800 +تكون في عندك معارض و أنت تلف ما تلفش من المكان + +752 +00:58:13,800 --> 00:58:16,700 +يعني ان هاي هادي بيه و هدوة راحين من المكان + +753 +00:58:16,700 --> 00:58:21,420 +ماتضربوش من المكان بدك تحط النقطة و بالظبط تضلك + +754 +00:58:21,420 --> 00:58:27,040 +لافف لما تصل النقطة تمام؟ ماتخليش أصابعك يدوك على + +755 +00:58:27,040 --> 00:58:30,080 +أي مكان يكون عشوائي تمام؟ + diff --git 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المرحلة دي كانت حساب + +3 +00:00:14,840 --> 00:00:20,440 +الـ capacitance of capacitors وحسبنا c for parallel + +4 +00:00:20,440 --> 00:00:25,740 +plates capacitor ولَجينا إن c بتساوي y نقطة a على d + +5 +00:00:25,740 --> 00:00:33,920 +وكانت النتيجة إن c تعتمد فقط على التركيبة الهندسية + +6 +00:00:33,920 --> 00:00:37,800 +للكباسيتور، كانت تناسب تناسبًا انقراضيًّا مع الـ area + +7 +00:00:37,800 --> 00:00:42,320 +وعكسيًّا مع the separation between the two plates + +8 +00:00:45,970 --> 00:00:49,050 +الكاباسيتور أو الكاباسيتور for spherical capacitor + +9 +00:00:49,050 --> 00:00:53,310 +واتفقنا إن الكاباسيتور الاسفيريكال يحتوي على اتفاقين + +10 +00:00:53,310 --> 00:00:56,970 +اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين + +11 +00:00:56,970 --> 00:00:57,590 +اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين + +12 +00:00:57,590 --> 00:00:57,790 +اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين + +13 +00:00:57,790 --> 00:01:12,130 +اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين + +14 +00:01:13,350 --> 00:01:18,370 +هذا هو القانون اللي منه بأحسب جدّي سعة أي كاباسيتور + +15 +00:01:18,370 --> 00:01:21,710 +وعشان كده بيقول عشان نحسب السعة لازم أشحن ولازم + +16 +00:01:21,710 --> 00:01:25,750 +يكون فيه شحنات، فهذا راهنش عدّة الإنار +q + +17 +00:01:25,750 --> 00:01:30,590 +والأعطر بيكون -q، إيش دل؟ دل قديم V وهنا V + +18 +00:01:30,590 --> 00:01:34,810 +stand for the potential difference between the two + +19 +00:01:34,810 --> 00:01:38,720 +conductors of the capacitor. لإيجاد كباسيتة من هذه + +20 +00:01:38,720 --> 00:01:44,820 +الكاباسيتة، يجب أن نتكلم عن الاختلاف الممكن بين + +21 +00:01:44,820 --> 00:01:48,800 +الاثنين الحفرين. إذا المهمة الأولى على طول وكأنه + +22 +00:01:48,800 --> 00:01:52,480 +سؤال زي هذا بكون تابع للشبطة اللي جابله الشباب لأن + +23 +00:01:52,480 --> 00:01:56,500 +الشبطة اللي جابله كان جل شغلنا إنه نحسب فرق الجهد + +24 +00:01:56,500 --> 00:01:59,920 +بين نقطتين أو أي جهد أو أي نقطة وبالتالي بيصير إن + +25 +00:01:59,920 --> 00:02:03,660 +أنا بدي أجيب الجهد ما بين نقطتين عشان احسب السعة + +26 +00:02:03,660 --> 00:02:07,660 +عشان أطبق أنا بدي هذه وهذه جهد أو فرق الجهد هنا + +27 +00:02:07,660 --> 00:02:13,090 +تمام، عشان أجيب أستخدم هذا القانون إن V بسوء سالب + +28 +00:02:13,090 --> 00:02:16,290 +من initial to final، والـ initial عندي الـ inner + +29 +00:02:16,290 --> 00:02:20,690 +shell، والـ final هو الـ outer shell، على فاس إن هذا + +30 +00:02:20,690 --> 00:02:26,450 +هو القانون التبعي على اعتبار إن V هي delta V، V هي + +31 +00:02:26,450 --> 00:02:30,050 +delta V أصلا هي فرق الجهد بين طرفي الـ capacitor + +32 +00:02:30,050 --> 00:02:35,890 +وبالتالي بتكون from A to B، الآن مازال أنا خطط حضور + +33 +00:02:35,890 --> 00:02:41,240 +التكامل يا شباب بالصير واضح اي اي اي بدي علىاللي + +34 +00:02:41,240 --> 00:02:45,900 +في النص between A and B، تمام، إذا هذي E هي الـ + +35 +00:02:45,900 --> 00:02:49,380 +electric field between A and B or the electric + +36 +00:02:49,380 --> 00:02:52,220 +field between the two shells، كيف بتحسبها؟ ممكن + +37 +00:02:52,220 --> 00:02:55,880 +نستخدم قانون جاوس ولا لأ؟ مش أشكال قراوية ولا لأ؟ + +38 +00:02:55,880 --> 00:02:59,300 +إذا بنستخدم قانون جاوس الـ electric field between + +39 +00:02:59,300 --> 00:03:02,700 +the two shells can be found using Gauss's law، كيف؟ + +40 +00:03:02,700 --> 00:03:06,200 +يعني أنت بدك نقطة في النص، حطها في Gauss's surface + +41 +00:03:06,200 --> 00:03:11,420 +مظبوط ولا لأ؟ في جوا شحنات ولا فيش شيء؟ اللي هو Q + +42 +00:03:11,420 --> 00:03:15,700 +إذا بيصير E في أربع باي R تربيع بتساوي Q على + +43 +00:03:15,700 --> 00:03:20,440 +أبسلون نوات، إذا بربع سطر بقدر أجيب E بتساوي Q و + +44 +00:03:20,440 --> 00:03:24,040 +أربع باي R تربيع كانت هنا جاية من الـ A وأبسلون + +45 +00:03:24,040 --> 00:03:27,880 +نواتي اللي موجودة في القانون، هذه هي E وبالتالي ما + +46 +00:03:27,880 --> 00:03:33,620 +زال E انعرفت حطها هنا دي الاصل لما تيجي تكامل قل + +47 +00:03:33,620 --> 00:03:39,200 +كامل، طلعت في هذا الشكل، إيش تكلمه؟ dR على R تربيع + +48 +00:03:39,200 --> 00:03:42,460 +-1 على R صح ولا لأ؟ الـ - مع الـ - + +49 +00:03:42,460 --> 00:03:47,220 +بتروح، بتصير هيك 1 على R و 1 على B - 1 + +50 +00:03:47,220 --> 00:03:50,040 +على A، هيك بتصير تمامًا، هذه النتيجة إحنا مش هنحفظها + +51 +00:03:50,040 --> 00:03:54,040 +لازم + +52 +00:03:54,040 --> 00:03:57,960 +هو ببطل capacitor، الـ capacitor لازم واحدة Q تانية + +53 +00:03:57,960 --> 00:04:00,840 +نقص الـ Q، واحدة خمسة تانية نقص خمسة، واحدة عشرة + +54 +00:04:00,840 --> 00:04:06,120 +تانية نقص عشرة، لازمو حد طولها والمنصحة شيله جعوه + +55 +00:04:06,120 --> 00:04:10,620 +في الشحنات، إحنا اتفقنا لا مالهاش جعوه، هو أنت شوفت + +56 +00:04:10,620 --> 00:04:12,860 +كيف إحنا شحانتي المكافئت، أنا باخد من واحد الـ board + +57 +00:04:12,860 --> 00:04:18,260 +ع التاني، فإذا بدي أخد عشرة تاني بدي أخد عشرة، طبعًا + +58 +00:04:18,260 --> 00:04:24,820 +هذا بساطة، أظبطها طلعت هيك، طبعًا الطلعة شباب بالنسبة + +59 +00:04:24,820 --> 00:04:30,600 +لـ الـ spherical capacitor فيه ميزة، الطلعة هذا قرن + +60 +00:04:30,600 --> 00:04:36,880 +لـ plate هذالو واحدة من الـ place ابعتها، إيش بيصير + +61 +00:04:36,880 --> 00:04:42,280 +في D؟ بتزيد، إيش بيصير في C؟ يعني طب أنا .. طب + +62 +00:04:42,280 --> 00:04:45,300 +الهادي .. الهادي صارت بعيدة كتير، وصلت رفح، لديه C + +63 +00:04:45,300 --> 00:04:50,400 +بتتوقعها تصير؟ Zero، مظبوط ولا لأ؟ طب نشوف .. نرجع + +64 +00:04:50,400 --> 00:04:53,320 +إلى هادي، هادي كانت هيك وهيك، هي البرانية بدنا + +65 +00:04:53,320 --> 00:04:58,010 +نمشيها، نمشيها لما تصل رفح، ماذا يحصل في B؟ B جسده + +66 +00:04:58,010 --> 00:05:01,910 +مانهاية ولا لأ؟ نشوف ماذا يحصل هنا طبعًا لما أضع + +67 +00:05:01,910 --> 00:05:04,970 +بي مانهاية، بصي مانهاية، ع مانهاية، ولما + +68 +00:05:04,970 --> 00:05:07,670 +أخدنا في الـ calculus مانهاية ع مانهاية كده + +69 +00:05:07,670 --> 00:05:12,050 +بجيب اللي مات، إيش بسوي؟ أما بفاضل أو بجسم على أكبر + +70 +00:05:12,050 --> 00:05:15,210 +قص، جسم على أكبر قص اللي هي الـ B، ماذا يحصل في + +71 +00:05:15,210 --> 00:05:21,710 +البوصد؟ إيه؟ وفي المقام 1 - A على B، طب إيه على + +72 +00:05:21,710 --> 00:05:25,770 +بيه جدتش بيصير؟ إذا بترجع القانون بس أربع باي أبسل + +73 +00:05:25,770 --> 00:05:30,510 +نوت A؟ إذا بتقطر سفير لما يكون سفير، فليش بيقول + +74 +00:05:30,510 --> 00:05:35,810 +ليه؟ بيقولي a single isolated sphere، بس سفير واحدة + +75 +00:05:35,810 --> 00:05:39,530 +ممكن اعتبرها كاباسيتور، طب الكاباسيتور إحنا بيعرف + +76 +00:05:39,530 --> 00:05:43,110 +إنه two conductors مظبوط ولا لأ؟ بينهم مادة عزل + +77 +00:05:43,110 --> 00:05:46,650 +جميعهم two conductors، واحدة اللي أنت شايفها + +78 +00:05:46,650 --> 00:05:49,710 +والتانية وين هي؟ في المادة النهائية واللي مش عاد + +79 +00:05:49,710 --> 00:05:55,620 +يروح يدور عليها، بيقول a single isolated sphere can + +80 +00:05:55,620 --> 00:05:59,000 +be considered as a capacitor where the outer shell + +81 +00:05:59,000 --> 00:06:04,220 +is assumed to be of infinite radius، طبعًا في هذه + +82 +00:06:04,220 --> 00:06:07,580 +الحالة، if we let B goes to ∞ in the last + +83 +00:06:07,580 --> 00:06:11,020 +equation the capacitance of an isolated sphere of + +84 +00:06:11,020 --> 00:06:15,740 +radius A is found to be 4π ε₀ A لأن + +85 +00:06:15,740 --> 00:06:20,710 +سعة المكثف أو الكورة تعتمد على نصف قطرها، أربع باي + +86 +00:06:20,710 --> 00:06:23,790 +إبسيلون نوت، ماهي فاكتة، إذا كل كرة ممكن اعتبرها + +87 +00:06:23,790 --> 00:06:27,970 +كاباسيتور، شباب كل كرة كونداكتور طبعًا، كل كرة لحالها + +88 +00:06:27,970 --> 00:06:31,130 +ممكن اعتبرها كاباسيتور على اعتبار إنه الـ conductor + +89 +00:06:31,130 --> 00:06:34,050 +التالي موجود في المالة النهائية، وبصير C تبعتنا + +90 +00:06:34,050 --> 00:06:37,750 +بتساوي أربع باي إبسيلون نوت في نصف قطرها اللي هو A + +91 +00:06:37,750 --> 00:06:42,350 +وهنا جبناها، هنا بينفعش لما تصير الساعة بتساوي صفر + +92 +00:06:42,350 --> 00:06:47,490 +نشوف الـ cylindrical capacitor، تذكرى إن السلك اللي + +93 +00:06:47,490 --> 00:06:52,030 +.. مابين الـ dish والـ receiver، يقولون هاد الـ + +94 +00:06:52,030 --> 00:06:56,950 +cylindrical capacitor تمام، وهاد هو، هاد الأزرق + +95 +00:06:56,950 --> 00:07:00,650 +اللي هو السيليك القصير هذا الرفيع اللي بيخش جوا الـ + +96 +00:07:00,650 --> 00:07:05,070 +receiver والشعر اللي حواليه هو الأحمر بتعتبره + +97 +00:07:05,070 --> 00:07:11,640 +تمام، وهي مين أكبر طول السيليك ولا نص قطره؟ طبعًا طوله + +98 +00:07:11,640 --> 00:07:15,320 +خصوصًا إذا واحد ساكن على الطابق الأول وفي عمارة + +99 +00:07:15,320 --> 00:07:18,820 +على عشر وردش في عشر كده، ديش بيكون طول السلك؟ ممكن + +100 +00:07:18,820 --> 00:07:21,600 +ستين متر، سبعين متر، صح ولا لأ؟ ونص القطر ممكن + +101 +00:07:21,600 --> 00:07:25,240 +كذا ملي، بالتالي دائما في الـ cylindrical capacitor + +102 +00:07:25,240 --> 00:07:29,820 +بيكون الطول أكبر كتير من نص القطر عشان أقدر أستخدم + +103 +00:07:29,820 --> 00:07:33,420 +قانون جاوس الشباب، أقول عنها infinite wire ولا لأ؟ + +104 +00:07:33,420 --> 00:07:37,550 +في infinite wire، تمام، بيقول إن الكمبيوتر يستخدم + +105 +00:07:37,550 --> 00:07:38,650 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +106 +00:07:38,650 --> 00:07:39,130 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +107 +00:07:39,130 --> 00:07:39,990 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +108 +00:07:39,990 --> 00:07:41,230 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +109 +00:07:41,230 --> 00:07:42,370 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +110 +00:07:42,370 --> 00:07:45,270 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +111 +00:07:45,270 --> 00:07:48,570 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +112 +00:07:48,570 --> 00:07:56,990 +عن عبارة عن عبارة عن عبارة + +113 +00:07:56,990 --> 00:08:03,970 +عن عب + +114 +00:08:05,220 --> 00:08:13,040 +هو بيعمل استدارة حوالي الاسلك، بش هو بيعمل استدارة + +115 +00:08:13,040 --> 00:08:14,500 +بش هو بيعمل استدارة، بش هو بيعمل استدارة، بش هو + +116 +00:08:14,500 --> 00:08:14,560 +استدارة، بش هو بيعمل استدارة، بش هو بيعمل استدارة، بش + +117 +00:08:14,560 --> 00:08:14,660 +هو بيعمل استدارة، بش هو بيعمل استدارة، بش هو بيعمل + +118 +00:08:14,660 --> 00:08:15,360 +استدارة، بش هو بيعمل استدارة، بش هو بيعمل استدارة، بش + +119 +00:08:15,360 --> 00:08:17,520 +هو بيعمل استدارة، بش هو بيعمل استدارة، بش هو بيعمل + +120 +00:08:17,520 --> 00:08:23,940 +استدارة، بش هو بيعمل استدارة، بش هو بيعمل استدارة، بش + +121 +00:08:23,940 --> 00:08:25,760 +هو بيعمل است + +122 +00:08:30,720 --> 00:08:35,380 +أنا عامله عكس هو طبعًا، العكس بتفرجش كتير، و we will + +123 +00:08:35,380 --> 00:08:38,480 +assume that، طبعًا الـ assumption هذا هو الحقيقة، و we + +124 +00:08:38,480 --> 00:08:40,880 +will assume that the length of the capacitor is + +125 +00:08:40,880 --> 00:08:44,540 +much greater than the radius P such that we can + +126 +00:08:44,540 --> 00:08:47,280 +neglect the freeing of the electric field at the + +127 +00:08:47,280 --> 00:08:51,000 +ends، عدم انتباه من الـ electric field عند الأطراف + +128 +00:08:51,000 --> 00:08:53,840 +بدرجة غير أنا مش عند الأطراف في كل الأحوال يعني + +129 +00:08:53,840 --> 00:08:59,660 +بمعنى آخر، في النهاية بيستطيع أطبق قانون جاوس، الجزء + +130 +00:08:59,660 --> 00:09:02,860 +الكهربائي في المنطقة بين الانتجارات التوكوينية + +131 +00:09:02,860 --> 00:09:05,080 +يمكن أن يتم تخيله باستخدام قوة جزء من الانتجارات + +132 +00:09:05,080 --> 00:09:09,780 +infinite wire، وهذه الجواب أنا شاحته وشاحته طبعًا، بس + +133 +00:09:09,780 --> 00:09:12,540 +أذكركم كيف جبناها، لأنه جبناها في أحد الأمثلة كان + +134 +00:09:12,540 --> 00:09:15,260 +في عندي سلك طويل، وقولت بدي أشيط بيت المجار هنا + +135 +00:09:15,260 --> 00:09:21,740 +أخدت السلينذر هيك، صح؟ كنا المجال هيك وفي عندي تلت + +136 +00:09:21,740 --> 00:09:27,580 +أسطح، وهاي سطح سفير وده السطح هذا، فصار E في اثنين + +137 +00:09:27,580 --> 00:09:32,640 +باي R في L على اعتبار هذه L، فعلى Q in وR تربيع Q in + +138 +00:09:32,640 --> 00:09:37,210 +بالسويلين ده في L بالضبط لأ، إذا E بتساوي راحة L مع + +139 +00:09:37,210 --> 00:09:40,850 +L بتساوي لامدا طبعًا في الـ Epsilon Note على 2 باي + +140 +00:09:40,850 --> 00:09:45,810 +Epsilon Note في R، فهذا اللي أنا شاحته تمام، فلامدا + +141 +00:09:45,810 --> 00:09:50,390 +هذه إيش بتساوي؟ Q على L، بس إيه اللي عملنا لامدا + +142 +00:09:50,390 --> 00:09:52,810 +بتساوي Q على L، إذا المقلنة هو هذه النتيجة إحنا + +143 +00:09:52,810 --> 00:09:57,830 +شحتينها من مثال سابق وجبناها بساطة، الواحد بتنجب + +144 +00:09:57,830 --> 00:10:01,030 +من قانون جاوس بعد ما طلعت E شباب، بدأوا جديد أجيب + +145 +00:10:01,030 --> 00:10:04,590 +فرق الجهود، The potential difference is then found + +146 +00:10:04,590 --> 00:10:08,670 +to be، نفس القانون اللي بنستخدمه E.dL هي الـ dL من + +147 +00:10:08,670 --> 00:10:13,710 +الـ dR وبعدين تتحول لـ dR عشان الـ E فيها R unit + +148 +00:10:13,710 --> 00:10:18,510 +vector، عود عن E طلعت بهذا الشكل لأن E في R في + +149 +00:10:18,510 --> 00:10:23,830 +المقام وفي الـ bus في dR، إيش تكمل؟ dX على X، dX على + +150 +00:10:23,830 --> 00:10:32,880 +X لأن الـ X طلعت هيك لأن الـ R من A لـ B طلعها، هذه لأن + +151 +00:10:32,880 --> 00:10:37,380 +الـ B على A طلعنا الجواب، مازال V انعرفت شباب بقدر + +152 +00:10:37,380 --> 00:10:42,240 +أجيب C، شوفوا أنتو دايمًا V بتجي بجالية Q عشان الـ Q + +153 +00:10:42,240 --> 00:10:49,190 +هتطير، وما ضلش الـ C مالهاش أي نتيجة، C بتساوي Q على V + +154 +00:10:49,190 --> 00:10:52,570 +وطلعتها بهذا الشكل، طبعًا واضح برضه إذا كان في الـ + +155 +00:10:52,570 --> 00:10:55,970 +كاباسيتور ولا هنا C لا تعتمد لا على الـ potential + +156 +00:10:55,970 --> 00:11:00,470 +ولا تعتمد على الشحنات بتعتمد فقط على التركيبة + +157 +00:11:00,470 --> 00:11:03,510 +تبعات الـ capacitor، هنا التركيبة تبعات الـ capacitor + +158 +00:11:03,510 --> 00:11:08,250 +أنصاف الأقطار والطول والـ epsilon note بيمثل الوقت + +159 +00:11:08,250 --> 00:11:13,380 +العازل، في الكورة اعتمد على الـ A والـ B بالإضافة + +160 +00:11:13,380 --> 00:11:16,320 +إلى الـ Epsilon node، فدائمًا الـ capacitor سعته + +161 +00:11:16,320 --> 00:11:20,040 +بيعتمد فقط على التركيب الهندسي للكاباسيتور، مالوش + +162 +00:11:20,040 --> 00:11:25,000 +دعوة إلا بهذا العاد، تمام، طبعًا كلكم بتعرفوا بديش + +163 +00:11:25,000 --> 00:11:29,700 +لأن المالة نهاية مالة + +164 +00:11:29,700 --> 00:11:34,120 +نهاية، تمام، طبعًا لو تطلع لو B الـ outer shell صار + +165 +00:11:34,120 --> 00:11:36,020 +مالة نهاية زي ما عملنا في الاسفير بتظبطش معاه + +166 +00:11:36,020 --> 00:11:40,660 +بتصير السعة بترجع Zero، بتبصر في المقام في ∞، + +167 +00:11:40,660 --> 00:11:44,740 +مظبوط؟ إذا معناته الـ single بينفعش إلا للسفير، + +168 +00:11:44,740 --> 00:11:48,200 +الـ cylinder بينفعش ولا الـ parallel plate بينفع، + +169 +00:11:48,200 --> 00:11:52,000 +تمام، أنا حاسبت الـ C على تلت capacity الشباب، الـ + +170 +00:11:52,000 --> 00:11:55, + +201 +00:14:05,920 --> 00:14:09,460 +الآن طبعًا احنا قبل ما نوصل البطارية شباب أغلب ال + +202 +00:14:09,460 --> 00:14:12,160 +capacitors بيكونش فيه عنده أحمر و أزرق بيكونش + +203 +00:14:12,160 --> 00:14:14,360 +معروف إيش هو الموجب و إيش هو السالب أنا بوصلها + +204 +00:14:14,360 --> 00:14:17,320 +بعدين بعد ما وصلنا بالبطارية بعرف القطب الموجب و + +205 +00:14:17,320 --> 00:14:21,480 +القطب السالب زي المقاومة تمام كيف تصير العملية زي + +206 +00:14:21,480 --> 00:14:26,020 +ما احنا عاملنا المراة دي بتصير بيدا الشكل هيك + +207 +00:14:26,020 --> 00:14:31,560 +بيشحله زي + +208 +00:14:31,560 --> 00:14:39,210 +ما احنا عاملنا المراة دي هذا الإلكترون اللي بتحرك، + +209 +00:14:39,210 --> 00:14:42,950 +هذا الإلكترون، هو الحقيقة إيش اللي بتحرك؟ + +210 +00:14:42,950 --> 00:14:46,690 +الإلكترون ولا البروتون؟ الفيلم يعني عشان كده عملت + +211 +00:14:46,690 --> 00:14:50,450 +حاجة الواقعية، يعني بحاول أعمل animation للواقع، + +212 +00:14:50,450 --> 00:14:58,240 +كيف؟ بهيئة، أنت فكرت طيار هذا؟ مش طيار هذا الطيار + +213 +00:14:58,240 --> 00:15:02,340 +اصطلاحًا حركة الشحنات الموجبة بقى أنا قاعد بحرك إيش + +214 +00:15:02,340 --> 00:15:06,640 +بحرك electrons حد الواقع اللي بيصير هيك عملت الشحن + +215 +00:15:06,640 --> 00:15:10,220 +الواقعية إنه الإلكترون بيجي من الـ place بيقعد منه + +216 +00:15:10,220 --> 00:15:13,780 +التانية والتفاقنة البطارية اللي بتنططه من المكان + +217 +00:15:13,780 --> 00:15:17,540 +الواطي إلى المكان العالي تجهد وهيك بيصير زي ما + +218 +00:15:17,540 --> 00:15:20,620 +شحنتها نقول in such a combination the right place + +219 +00:15:20,620 --> 00:15:24,990 +الحمر نوقفه لحظة بدوني بتبقى بتتركز بعد ما هيك + +220 +00:15:24,990 --> 00:15:28,210 +بنصي واحد موجبة بواحد سالبة in such a combination + +221 +00:15:28,210 --> 00:15:32,070 +the right blades اللي هم الحمر are connected بقى + +222 +00:15:32,070 --> 00:15:35,650 +conducting wire to form an equipotential surface + +223 +00:15:35,650 --> 00:15:39,170 +يعني they have the same potential قطعًا the other + +224 +00:15:39,170 --> 00:15:43,430 +two blades الـ left اللي هم الزرق form another + +225 +00:15:43,430 --> 00:15:46,590 +equipotential surface والتانيين اللي هم نفس الجهود + +226 +00:15:46,590 --> 00:15:51,330 +therefore the potential difference across the two + +227 +00:15:51,330 --> 00:15:55,580 +capacitors are the same مظبوط ولا لأ and equal to + +228 +00:15:55,580 --> 00:15:59,480 +the potential difference across an equivalent + +229 +00:15:59,480 --> 00:16:02,480 +capacitor replacing the two capacitors دي عالم + +230 +00:16:02,480 --> 00:16:05,600 +مجتمع مكتوب هذا الكلام V equivalent EQ هذي + +231 +00:16:05,600 --> 00:16:08,120 +equivalent مكافئ يعني أنا الـ two capacitors بدي + +232 +00:16:08,120 --> 00:16:11,480 +أجيبهم و أحط واحد يكافئهم يحل محلهم حد اللي بديه + +233 +00:16:11,480 --> 00:16:14,360 +يحل محلهم بسمي equivalent capacitor equivalent + +234 +00:16:14,360 --> 00:16:20,580 +capacitor يعني لو أنا عندي أنا هي capacitor و + +235 +00:16:20,580 --> 00:16:24,930 +في capacitor تاني هيهم بدي أوصلهم وبدي أوصلهم وبدي + +236 +00:16:24,930 --> 00:16:27,890 +ألزقهم بعد التلزق تمام هدا الـ two capacitors + +237 +00:16:27,890 --> 00:16:32,110 +وصلتهم بقدر أقول جهود هدا بيساوي جهود هدا اه وجهود + +238 +00:16:32,110 --> 00:16:35,770 +هدا بيساوي جهود هدا بيصير الجهود هدا هو نفسه هدا طب + +239 +00:16:35,770 --> 00:16:39,890 +وجهوده كله نفسه لأنه جهود هدا الكبير هو نفسه بيساوي + +240 +00:16:39,890 --> 00:16:42,710 +جهود هدا الكبير صح ولا لأ إذا بقول V equivalent + +241 +00:16:43,810 --> 00:16:48,630 +بتساوي V1 وبتساوي V2 طيب لو شباب هذه كان عليها + +242 +00:16:48,630 --> 00:16:52,830 +عشرة Q وهذه خمسة Q جمعتهم مع بعض كده الـ total + +243 +00:16:52,830 --> 00:16:58,610 +charge؟ خمسة عشر صح؟ إذا بقدر أقول Q equivalent هي + +244 +00:16:58,610 --> 00:17:04,730 +مجموع الـ two Q صح؟ اه هذي كان فيها عشرة micro + +245 +00:17:04,730 --> 00:17:08,170 +column وهذه عليها خمسة micro column حطتهم جنب بعض + +246 +00:17:08,170 --> 00:17:15,120 +كده الـ total؟ خمسة عشر تمام طبعًا Vq هو قيمة + +247 +00:17:15,120 --> 00:17:18,800 +الاختلاف المميز عن مقارنة الهواء الكبسيطر الهواء + +248 +00:17:18,800 --> 00:17:23,240 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +249 +00:17:23,240 --> 00:17:24,600 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +250 +00:17:24,600 --> 00:17:25,640 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +251 +00:17:25,640 --> 00:17:26,340 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +252 +00:17:26,340 --> 00:17:27,960 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +253 +00:17:27,960 --> 00:17:35,600 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +254 +00:17:35,600 --> 00:17:41,420 +الكبسيط صح؟ طيب الـ Q equivalent هذه بيساوي C + +255 +00:17:41,420 --> 00:17:44,380 +equivalent في V equivalent ولا لأ؟ وبدل الـ Q1 + +256 +00:17:44,380 --> 00:17:49,440 +بيضرب C1 في V1 ولا لأ؟ وبدل الـ Q2 بيضرب C2 في V2؟ + +257 +00:17:49,440 --> 00:17:55,280 +حلو طيب هذه المعادلة إيش بتعمل ليه؟ بتضيع ليه الـ + +258 +00:17:55,280 --> 00:18:01,860 +V's؟ بتضيعي الـ V's؟ هاي وصلت على التوازي C + +259 +00:18:01,860 --> 00:18:06,560 +equivalent بيساوي الجميع سيكوبرنات تساوي الجميع سي + +260 +00:18:06,560 --> 00:18:10,240 +لو عندك اتنين capacitors واحد تلاتة وواحد خمسة + +261 +00:18:10,240 --> 00:18:14,400 +واصل طول بالتوازي الـ total دي صار تمانية يعني لما + +262 +00:18:14,400 --> 00:18:18,100 +توصلوا على التوازي السعة بزيد ولا بتقل؟ بزيد براو + +263 +00:18:18,100 --> 00:18:25,540 +هاتوا capacitors بتوصلوا مع التوازي هيك حملتهمو + +264 +00:18:25,540 --> 00:18:29,900 +هو بحكيلي السعة تتغيرش إيه زي اللي كان اللي لعبت + +265 +00:18:29,900 --> 00:18:35,960 +في التركيبة الهندسية هناش اتغيرت المساحة كبرت + +266 +00:18:35,960 --> 00:18:41,060 +المساحة هنا ولا لا دي اتغيرت لما ازيدي المساحة إيش + +267 +00:18:41,060 --> 00:18:44,740 +بيصير في السعة إذا أنا بتوصل على التوازي بزود + +268 +00:18:44,740 --> 00:18:48,300 +السعة لأن أنا بفعل وكأني بزود المساحة شباب بزود + +269 +00:18:48,300 --> 00:18:51,360 +المساحة وبالتالي منطقي أن السعة تزيد وهي زادت + +270 +00:18:51,360 --> 00:18:56,240 +السعة إني صرت أجمع على C1 زي C2 لأن المساحة زادت + +271 +00:18:56,240 --> 00:19:00,400 +بعملية التوصيل على التوازي فيها استفسار شباب؟ إذا + +272 +00:19:00,400 --> 00:19:03,000 +بتوصلي على التوازي إيش بده أفهم؟ كيف بده أحكم على + +273 +00:19:03,000 --> 00:19:06,660 +التوالي والتوازي شباب؟ مش من الرسمة مش من الرسمة + +274 +00:19:06,660 --> 00:19:12,280 +من أعمل شرط التوازي عشان أحكم توازي لازم الجهود + +275 +00:19:12,280 --> 00:19:17,960 +تتساوى لازم الجهود تتساوى إذا تساوى الجهود بقول فيه + +276 +00:19:17,960 --> 00:19:21,480 +توازي طبعًا في خطأ شائع بقولك إذا الشحنات ما تساوتش + +277 +00:19:21,480 --> 00:19:26,380 +بيكون توازي هذا خطأ إذا الشحنات ما تساوتش بينفي + +278 +00:19:26,380 --> 00:19:30,560 +فكرة التوالي لكن لا يثبت فكرة التوازي التوازي عشان + +279 +00:19:30,560 --> 00:19:35,260 +أثبته لازم الشرط تبع التوازي هذا هيتحقق هذه لازم + +280 +00:19:35,260 --> 00:19:41,640 +تتحقق تمام؟ Capacitors are said to be connected in + +281 +00:19:41,640 --> 00:19:45,400 +parallel if the potential across each one is the + +282 +00:19:45,400 --> 00:19:48,040 +same and equal to the potential across an + +283 +00:19:48,040 --> 00:19:51,440 +equivalent capacitor. إذن هذا هو شرط التوازي. إن الـ + +284 +00:19:51,440 --> 00:19:56,020 +V يتساوى ويساوي الـ V equivalent. هذا هو شرط التوازي + +285 +00:19:56,020 --> 00:19:59,340 +الـ series combination شوفوا كيف نعمل توصيلة على + +286 +00:19:59,340 --> 00:20:02,920 +التوالي هاي + +287 +00:20:02,920 --> 00:20:08,590 +two capacitors تمام واحد هناك واحد هناك هي C1 وهي + +288 +00:20:08,590 --> 00:20:14,530 +C2 بيقولي وصل هدول تاني مع بعض وهدا وصله هيك وحط + +289 +00:20:14,530 --> 00:20:20,070 +بطاريتك إيش بده يصير معاك؟ هيزيد الـ D مظبوط لكن + +290 +00:20:20,070 --> 00:20:23,410 +يشوف إيش بده يصير في عملية الشحن شباب يلا نشحن، + +291 +00:20:23,410 --> 00:20:27,630 +هاي الإلكترون، هذا هو الإلكترون، الآن شبكة + +292 +00:20:27,630 --> 00:20:29,450 +البطارية إيش بده يصير فيه إلكترون؟ بتتحرك + +293 +00:20:34,340 --> 00:20:38,440 +راح من الحمرا اللي على اليمين وراح الزرق اللي على + +294 +00:20:38,440 --> 00:20:44,740 +الشمال صح الأصل إنه مازال هاد الكلام صحيح شوف أنت + +295 +00:20:44,740 --> 00:20:51,240 +هادي وهادي لا راح منهم إلكترون ولا إجههم إلكترون + +296 +00:20:51,240 --> 00:20:55,280 +صح ولا لأ العملية هاد الإلكترون بيجيها البطارية + +297 +00:20:55,280 --> 00:20:59,340 +نزلت من هنا إجه هنا بقدر أرط منها لها في وسط عازل + +298 +00:20:59,340 --> 00:21:04,470 +بقدر أرط منها لها في وسط عازلهيك بيصير طب إيش بده + +299 +00:21:04,470 --> 00:21:06,290 +يصير؟ بقول لأ احكيه؟ + +300 +00:21:10,570 --> 00:21:14,390 +أنت بتفكر إن هذه وسط عزل؟ هذه بطارية حبيبي، جوا مش + +301 +00:21:14,390 --> 00:21:17,350 +فاضية، هذه فيها بلاوي جوا، كل التفاعلات + +302 +00:21:17,350 --> 00:21:20,850 +الكيميائية، بس الرمز تبعها هو إيه؟ سبابي، يعني + +303 +00:21:20,850 --> 00:21:25,550 +إنها ما يبينياش يكون فيه .. يظن إن هذا مكان فاضي، + +304 +00:21:25,550 --> 00:21:31,330 +الرمز بيوحد، بنقطش قاعد، هو هذا أجي هنا لزج بعض + +305 +00:21:31,330 --> 00:21:34,840 +منه، يده بيجي هنا لزج، اللي بين الكل بلزج، نقطش هذا + +306 +00:21:34,840 --> 00:21:38,980 +من يخدمه أول و جديد غيره مش هو .. غيره فهمت عليها؟ + +307 +00:21:38,980 --> 00:21:43,020 +لكن هنا مش فرق دي بالكم .. ها .. هذه في شغل بتفططه + +308 +00:21:43,020 --> 00:21:48,000 +.. جادة .. تمام .. هذا موجة مسلسل .. في .. في + +309 +00:21:48,000 --> 00:21:51,920 +مشكلة هيك؟ طبعًا في الآخر بالزي دي .. بس خليني + +310 +00:21:51,920 --> 00:21:55,500 +أقول .. هيت موجة مسلسل ما فيش خلاف .. تمام؟ ليش؟ + +311 +00:21:55,500 --> 00:21:58,700 +لإن هو ذا أكر منه إلكترون صار موجة .. و من أزرقها + +312 +00:21:58,700 --> 00:22:01,000 +بقت إيه جاء إلكترون صار سلسل .. ما فيش مشكلة .. طيب + +313 +00:22:01,000 --> 00:22:05,350 +قولي جوه دول إيش فشحنهم؟ إيش اللي شعلهم؟ لأن هذا Q + +314 +00:22:05,350 --> 00:22:09,030 +المفروض موجب سالب موجب سالب ولا لا؟ بيقولي إيش + +315 +00:22:09,030 --> 00:22:12,370 +اللي صار معاك؟ thus the right blade of C1 the + +316 +00:22:12,370 --> 00:22:16,070 +right blade of C1 acquires a positive charge آمين + +317 +00:22:16,070 --> 00:22:19,710 +لأنه مرتبط بالشحنة بالقطب الموجب للبطارية في خلاف + +318 +00:22:19,710 --> 00:22:27,040 +تمام why the left blade of C2؟ acquires unequal + +319 +00:22:27,040 --> 00:22:31,240 +negative charge acquires يعني يكتسب برضه ما فيش عليها + +320 +00:22:31,240 --> 00:22:35,420 +خلاف طب هنجي نطلع على هذه المنطقة اللي بين المجتين + +321 +00:22:35,420 --> 00:22:39,460 +إذا بيقولي and the other to place enclosed by the + +322 +00:22:39,460 --> 00:22:42,800 +dashed line هذي اللي أنا محوطه بالـ dashed line + +323 +00:22:42,800 --> 00:22:48,700 +المنطقة form an isolated conductor الإلكترونات تتجه + +324 +00:22:48,700 --> 00:22:52,020 +إلى الجانب اليسرى وتتجه إلى الجانب اليسرى وتتجه + +325 +00:22:52,020 --> 00:22:52,520 +إلى الجانب اليسرى وتتجه إلى الجانب اليسرى وتتجه + +326 +00:22:52,520 --> 00:22:53,060 +إلى الجانب اليسرى وتتجه إلى الجانب اليسرى وتتجه + +327 +00:22:53,060 --> 00:22:55,940 +إلى الجانب اليسرى وتتجه إلى الجانب اليسرى وتتجه + +328 +00:22:55,940 --> 00:22:59,320 +إلى الجانب اليسرى وتتجه إلى الجانب اليسرى وتتجه + +329 +00:22:59,320 --> 00:22:59,560 +إلى الجانب اليسرى وتتجه إلى الجانب اليسرى وتتجه + +330 +00:22:59,560 --> 00:23:02,820 +إلى الجانب اليسرى و + +331 +00:23:02,820 --> 00:23:07,200 +تتجه إلى الجانب اليسرى وتتجه إلى الجانب اليسرى و + +332 +00:23:07,200 --> 00:23:14,920 +تتجه إلى الجانب اليسرى و + +333 +00:23:14,920 --> 00:23:20,540 +تتجه إلى الجانب اليصح ولا لأ؟ إذن هيك عملية الشحن + +334 +00:23:20,540 --> 00:23:25,320 +بتصير إذا أنا نفسي عالعالم أكون تواني Q1 بتساوي Q2 + +335 +00:23:25,320 --> 00:23:29,860 +ما فيش مجاري Q1 وQ1 بتساويش Q2 حتى لو C1 وC2 + +336 +00:23:29,860 --> 00:23:33,820 +بيساووش بقض مظبوط ولا لأ؟ لأن هيك طبيعة الشحن + +337 +00:23:33,820 --> 00:23:34,980 +فبيقول لي هنا + +338 +00:23:37,770 --> 00:23:41,890 +هذا يعني أن البطارية تدفع حرارة على الهواتف + +339 +00:23:41,890 --> 00:23:42,270 +المحطمة + +340 +00:24:00,900 --> 00:24:04,300 +طيب الآن it is clear here that the charges on each + +341 +00:24:04,300 --> 00:24:07,800 +capacitor must be the same and equal to the charge + +342 +00:24:07,800 --> 00:24:11,680 +on an equivalent capacitor هجيتها دي المجة طبعًا + +343 +00:24:11,680 --> 00:24:16,900 +مسكوها ورموها نقص أي شحنة؟ لأ دي ديش الـ total + +344 +00:24:16,900 --> 00:24:24,080 +charge عليها؟ الـ total؟ صفر فهي نقص زائد صح؟ but + +345 +00:24:24,080 --> 00:24:25,980 +أو ثلاثة أش بتقول إنك كبسيتر واحد + +346 +00:24:29,790 --> 00:24:33,010 +وهي اللي بليه اتبعتوا صح ولا لأ؟ في الأول لو هذه + +347 +00:24:33,010 --> 00:24:38,590 +كانت D1 وهذه D2 اللي بيكون اللي بينهم المسافة D1 + +348 +00:24:38,590 --> 00:24:43,870 +زي D2 ولا لأ بتزيد المسافة وما زادت المسافة قلت + +349 +00:24:43,870 --> 00:24:47,590 +السعة لما أوصل على التوالي السعة بتقل لأنه أنا هنا + +350 +00:24:47,590 --> 00:24:52,050 +في هذه الحالة بزيد D عشان أنتم بس يتجرب عليكم هذه + +351 +00:24:52,050 --> 00:24:55,650 +هدولتوا كبسكت وزلتوا وأنا حاططهم هنا بيدلزجهم بعد + +352 +00:24:55,650 --> 00:25:00,450 +تلزج هيك هيوصلوا على التوالي ما عنديش سيليكا أوصل + +353 +00:25:00,450 --> 00:25:05,250 +لذاكته مابعد بنفع توصليه اللي ما هو لذاكته مابعد + +354 +00:25:05,250 --> 00:25:10,890 +فارج إيه هذه دي واحد وهذه دي اثنين هذه مسكتها و + +355 +00:25:10,890 --> 00:25:14,370 +رميتها والله ما خص علي أي شيء لا في شحنات خصت + +356 +00:25:14,370 --> 00:25:18,290 +ولا في شيء خص طبعًا إني كبس تار عارف هذه اللي + +357 +00:25:18,290 --> 00:25:21,270 +بسميها equivalent capacitor طب جداش المسافة صارت + +358 +00:25:21,270 --> 00:25:24,670 +دي واحد زادت دي اثنين زادت دي ولا ما زادت؟ زادت إذا + +359 +00:25:24,670 --> 00:25:30,040 +السعة بتقل هذا اللي احنا بنحكي قاعدين الـ Q + +360 +00:25:30,040 --> 00:25:33,740 +كوفرانت بيساوي Q واحد بيساوي Q اثنين طيب راسم + +361 +00:25:33,740 --> 00:25:39,400 +راسم أنا ولا ما أعرف لأ برضه بنرجع جداش فرق الجهود + +362 +00:25:39,400 --> 00:25:45,280 +من هال لهال حد اللي كوفرانت كبست مظبوط هل بيساوي + +363 +00:25:45,280 --> 00:25:48,440 +فرق الجهود من هال لهال زاد من هال لهال زاد من هال + +364 +00:25:48,440 --> 00:25:54,340 +لهال طب من هاللهال كده؟ ليش؟ لأنه كنت بكرر، إذا فرق + +365 +00:25:54,340 --> 00:25:57,820 +جهود من هاللهال هو فرق جهود من هاللهال زي فرق جهود + +366 +00:25:57,820 --> 00:26:00,800 +من هاللهال، هدي V واحد وهدي V اثنين، إذا مجموع + +367 +00:26:00,800 --> 00:26:04,740 +two V's، تمام؟ لأنه من هاللهال .. ليش هنا في الشفق + +368 +00:26:04,740 --> 00:26:08,400 +جوه جباب؟ لأنه كنت بكرر واحد وهداك و potential + +369 +00:26:08,400 --> 00:26:13,590 +surface وكنّا عارفينه، تمام؟ فالقانون VAB V + +370 +00:26:13,590 --> 00:26:17,610 +equivalent V واحد زائد V اثنين قال لي ارجع للقانون + +371 +00:26 + +401 +00:28:38,030 --> 00:28:40,990 +واحدة واحدة اشتغل أنت في الآخر بدك تضلك هذه الرسمة + +402 +00:28:40,990 --> 00:28:44,790 +تضلك اتزغر فيها لما في الآخر كم كبسطر يصفع عندك؟ + +403 +00:28:44,790 --> 00:28:51,750 +واحد عجيبك ده أقول واحد وأربعة توالي؟ لأ واحد و + +404 +00:28:51,750 --> 00:28:58,430 +ثلاثة مالهم؟ تمام هل أربعة وثمانية توازي؟ لأ برضه + +405 +00:28:58,430 --> 00:29:04,820 +لأ برضه إذا هذه الرسمة سهلة بقولي هذه كيف؟ طوارئ أو + +406 +00:29:04,820 --> 00:29:10,480 +توازي؟ بقول parallel صح حلو طب وهذه إيه؟ برضه + +407 +00:29:10,480 --> 00:29:14,060 +parallel طب الـ parallel بجمع على مجمع إيش؟ إذا ال + +408 +00:29:14,060 --> 00:29:15,800 +parallel اللي بدي أجيب الثانية أنها دي وأحط محلهم + +409 +00:29:15,800 --> 00:29:18,840 +جدي إيش؟ أربعة والتحتانية اللي أجيبها وأحط محلهم + +410 +00:29:18,840 --> 00:29:22,500 +إيش؟ إذا انجلي هيك صارت هذه بدل هذه وهذه بدل هذه + +411 +00:29:22,500 --> 00:29:26,920 +صح ولا لأ؟ بنحل على الرسمة نكتب ونغلي بحالنا + +412 +00:29:26,920 --> 00:29:34,680 +تمام؟ طيب هدول كيف؟ مش واحد يخلط يقولي هدول فوق بقى + +413 +00:29:34,680 --> 00:29:40,080 +التوازي هدول توازي؟ متساويش الجهود أما هدول تواري + +414 +00:29:40,080 --> 00:29:44,740 +قطعا طب وهدول؟ برضه تواري إذا هدول the series + +415 +00:29:44,740 --> 00:29:49,840 +الـ series واحد على واحد ربع ربع نص إذا في اثنين اثنين + +416 +00:29:49,840 --> 00:29:56,260 +بتصير وتحت تمن وتمن ربع اقلب أربعة فبتصير هفوق + +417 +00:29:56,260 --> 00:30:04,570 +اثنين وهذه هيك تمام؟ جديش هدول؟ توازي يعني أول خلص + +418 +00:30:04,570 --> 00:30:11,570 +السؤال ستة تمام؟ سهل العملية أحكي أت التوالي و + +419 +00:30:11,570 --> 00:30:16,330 +التوازي أحكي أت التوالي أربع على أربع واحد على + +420 +00:30:16,330 --> 00:30:19,250 +أربع زائد واحد على أربع نص + +421 +00:30:23,140 --> 00:30:28,960 +هو اجلب عرض اجلب الرصاص أو اثنين والربع هو اجلب + +422 +00:30:28,960 --> 00:30:36,560 +الربع أو اثنين أنا كنت + +423 +00:30:36,560 --> 00:30:39,480 +حالي شغل معينة مش حالي راح أعملها هناك في مشكلة + +424 +00:30:39,480 --> 00:30:40,560 +هنا شباب أحكي + +425 +00:30:46,850 --> 00:30:52,110 +طبعا، هو لما كنت .. اه مواعيد، يعني هذا جمع كثرة + +426 +00:30:52,110 --> 00:30:56,950 +كمالية، قطعا مافيش أي مشكلة يعني هو عشان ما يغلطش + +427 +00:30:56,950 --> 00:31:01,950 +فبقول فإنما أقول أنا واحد على C توتال بيساوي واحد + +428 +00:31:01,950 --> 00:31:04,870 +على سي واحد زائد واحد على سي اثنين بس لما أكون اثنين ده + +429 +00:31:04,870 --> 00:31:07,310 +بيساوي C توتال بيساوي سي واحد سي اثنين على سي واحد + +430 +00:31:07,310 --> 00:31:13,770 +زائد سي اثنين أو نصنده لما أقول متساوي مش دائما + +431 +00:31:13,770 --> 00:31:18,750 +متساوي طبعا لو واحد ثلاثة وبتاني أربعة عيش نقول نص + +432 +00:31:18,750 --> 00:31:20,850 +مده نرجع لو طلعوا + +433 +00:31:34,200 --> 00:31:40,060 +هو نفس القضية نفس القضية طبعا بس في هذه الحالة إيش + +434 +00:31:40,060 --> 00:31:50,420 +بيصير معك أنت لما تعملها يعني أنا ذاكرك بس صح + +435 +00:31:50,420 --> 00:31:54,380 +هي اللي صار فيها دي مش سفر يا بنا شباب هذه صارت + +436 +00:31:54,380 --> 00:31:59,630 +سلك ماما رشق يعني ليه؟ لأن صار فرق الجهد بيهم zero و + +437 +00:31:59,630 --> 00:32:03,090 +فرق الجهد الـ zero زي كانها شورت صارت لما يكون هدا + +438 +00:32:03,090 --> 00:32:06,130 +شورت .. جديش فرق الجهد بين المقاطين هدول؟ صفر .. + +439 +00:32:06,130 --> 00:32:12,190 +هيك بتصير .. استبدال .. بيحنيجيها .. طب هنا فرق + +440 +00:32:12,190 --> 00:32:15,290 +الجهد بيمرش لإنه مافيش شيء عندي .. أنا فرق الجهد .. + +441 +00:32:15,290 --> 00:32:16,970 +القيامة بيمر من الجهد دي لعلى الجهد اللي أقل .. + +442 +00:32:16,970 --> 00:32:21,600 +أنا مصار جهد بيهم مافيش .. تمام إيش مهمة الـ .. إيش + +443 +00:32:21,600 --> 00:32:24,460 +شغلات الكابستور شباب لو سألكم؟ إيش مهمة الكابستور؟ + +444 +00:32:24,460 --> 00:32:28,140 +تخزين طاقة .. تخزين طاقة .. أي شغلته؟ يعني أنا + +445 +00:32:28,140 --> 00:32:31,400 +بحطه جوه الـ .. الراديو ولا جوه التلفزيون ولا جوه + +446 +00:32:31,400 --> 00:32:34,860 +الـ calculator؟ أتفرج عليه ولا ليه المهمة؟ مهمته + +447 +00:32:34,860 --> 00:32:37,980 +هي تخزين الطاقة الكهربية كيف جانيما أنت بتشحنه + +448 +00:32:37,980 --> 00:32:41,140 +عملية الشحن مش .. احنا طبعا شوفنا .. شوفت الإلكترون + +449 +00:32:41,140 --> 00:32:44,860 +وهو بتحرك؟ مش هيك عملية الشحن؟ فيه إلكترون بتحرك + +450 +00:32:44,860 --> 00:32:48,500 +يعني في شحنة بتنتقل من مكان لمكان ولما أنجل شحنة + +451 +00:32:48,500 --> 00:32:53,980 +في شغل مبدل ولا مافيش مين بيخزن الشغل؟ البطارية + +452 +00:32:53,980 --> 00:32:57,780 +البطارية بتبقى تشغل وتبقى تشغل وين راح؟ بتخزن جوا + +453 +00:32:57,780 --> 00:33:01,220 +عليها الطاقة إذا هي الطاقة من هنا إيه؟ لو + +454 +00:33:01,220 --> 00:33:05,100 +الكاباسيتور مش مشحون فيه جوا طاقة؟ لأ إذا أنا بقاش + +455 +00:33:05,100 --> 00:33:08,740 +حاجة محطه في دار كهربائية وبالتالي بصير بيخزن طاقة + +456 +00:33:08,740 --> 00:33:12,140 +كيف بدي أحسبها هالطاقة؟ بيقول الـ energy stored in + +457 +00:33:12,140 --> 00:33:16,080 +a charged capacitor بدي أحسبها سهلة وكل ما خدته في + +458 +00:33:16,080 --> 00:33:19,860 +الشبطار اللي جابلها ده نحسبها بقول as mentioned + +459 +00:33:19,860 --> 00:33:32,280 +before in charging a capacitor الإلكترون يتحرك من + +460 +00:33:32,280 --> 00:33:38,560 +مَجلَة إلى مجلة مرتبطة بالقطب السالب وبالتالي راحت + +461 +00:33:38,560 --> 00:33:42,700 +من هنا موجب صارت سالبة راحت على البلية الثانية + +462 +00:33:42,700 --> 00:33:46,720 +صارت موجب وصارت سالبة فصار في فرق جهد واحد موجب + +463 +00:33:46,720 --> 00:33:51,580 +واحد سالب تمام هذا هي اللي احنا عملناها وعملناها زي + +464 +00:33:51,580 --> 00:33:56,280 +كمرة رصدها هيك أنا بشحن كابستور الإلكترون بيروح من + +465 +00:33:56,280 --> 00:33:59,120 +واحدة بالصير الموجبة بيروح على الثانية بالصير السالبة + +466 +00:33:59,120 --> 00:34:03,700 +واتقش بجاف لما الصير الجهود تتساوى خلاص بيبطل في + +467 +00:34:03,700 --> 00:34:07,700 +مجال إني أنتقل وزي ما حكيت أنت إنه أنا في عندي حد + +468 +00:34:07,700 --> 00:34:11,220 +بيطرُدُه وواحد ثاني بيطرُدُه مش شَجَال ثانية بيغلب اللي + +469 +00:34:11,220 --> 00:34:14,800 +بيضطر أكثر لكن لما يتساوى حد بيغلب بيبطل يبطل يضطر + +470 +00:34:14,800 --> 00:34:17,870 +الإلكترون لا من هنا ولا من هنا خلاص بيبطل في حركة زي + +471 +00:34:17,870 --> 00:34:20,430 +اللي احنا حكينا إنه أنا اللي تكون هنا بطلُبه حد و + +472 +00:34:20,430 --> 00:34:23,650 +حد بيطرُدُه طب ما هذي صارت ثالثة بتطرُدُها التالية لكن + +473 +00:34:23,650 --> 00:34:26,610 +هذي أجواء بتبقى بتطرُد لما تصير هذي وهذي بيساوي + +474 +00:34:26,610 --> 00:34:28,950 +بعض بيبقى اللي أُطرِد خاص بيبقى بيبقى بيبقى بيبقى + +475 +00:34:28,950 --> 00:34:29,470 +بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى + +476 +00:34:29,470 --> 00:34:31,890 +بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى + +477 +00:34:31,890 --> 00:34:37,950 +بيبقى بيبقى بيبقى بيب + +478 +00:34:38,860 --> 00:34:42,160 +هو عمره السالب ممكن تسيطر على الموجب والموجب + +479 +00:34:42,160 --> 00:34:46,380 +دايما أكفر حاجات تتطلع عليها، هذي زرقاء ولا لأ؟ هذي + +480 +00:34:46,380 --> 00:34:50,020 +سالبة أو هذي؟ حاجات تنتهي سالبة بعد مين ممكن تسيطر + +481 +00:34:50,020 --> 00:34:54,580 +على الكترونات؟ الأقوى البطارية دائما موجبة سالبة طبعا + +482 +00:34:54,580 --> 00:34:58,220 +هدقلي لك الخط السالب تبع المكثف وكم صار سالب + +483 +00:34:58,220 --> 00:35:01,880 +أول مرة أُتّمر ببطارية صح؟ أول حاجة صار سالب خلنا + +484 +00:35:01,880 --> 00:35:04,800 +نقول سالب واحد فولت وبعدين صاروا اثنين فولت وبعدين + +485 +00:35:04,800 --> 00:35:07,380 +بعدين صاروا ثلاثة فولت البطارية عشرة فولت لما يصير + +486 +00:35:07,380 --> 00:35:10,000 +عشرة فولت بنقول احنا وصلنا جد باحد ماحد يضطر من + +487 +00:35:10,000 --> 00:35:14,220 +اتحادها فبتستقر وبتبطل في عيننا مخل شحنات وحكينا + +488 +00:35:14,220 --> 00:35:14,520 +أحكي + +489 +00:35:24,120 --> 00:35:29,860 +عملك سمعتي من البطارية ده ساعة؟ + +490 +00:35:29,860 --> 00:35:35,320 +البطارية ساعة يعني؟ الـ volt ساعة؟ جودها؟ جود + +491 +00:35:35,320 --> 00:35:39,750 +المكثف من وين جود المكثف هو؟ الجود؟ هو بجهده إيه + +492 +00:35:39,750 --> 00:35:43,290 +لما أُضْطِر بالبطارية عشان كده لو اضطر مكافح من أي + +493 +00:35:43,290 --> 00:35:48,050 +انكان البطارية عمره بيكون جهده أقل أو أكثر من جهد + +494 +00:35:48,050 --> 00:35:55,410 +البطارية لازم يساويه لازم يساويه لأنه أخذ جهده منه + +495 +00:35:55,410 --> 00:36:01,450 +أخذ جهده منه هذه الـ silicon silicon أو بليت وبليت جبعت + +496 +00:36:01,450 --> 00:36:06,960 +عبارة عن ثلاجتين ثلاجتين بوريشيو بقى طبعا بطاريته + +497 +00:36:06,960 --> 00:36:11,160 +يصلوا معاه يصلي الجهاز ويصلوا بشغله ويخزن طاقة و + +498 +00:36:11,160 --> 00:36:14,500 +يذاكروا بيخرب الراديو وبيخرب التلفزيون وهم يقفوا + +499 +00:36:14,500 --> 00:36:18,000 +في جراد عضارة على صفحتين بينهم بصوت عازل إذا جهده + +500 +00:36:18,000 --> 00:36:22,900 +بقدرش أقارن بينهم تمام؟ حلو بيقولي طب وأنت قاعد + +501 +00:36:22,900 --> 00:36:26,940 +تهبأ بينك اتفقنا في شغل ولا مافيش شغل؟ طب الشغل + +502 +00:36:26,940 --> 00:36:31,760 +إيش بيساوي؟ مش بيساوي الشغل الشحنة الموقولة في فرق + +503 +00:36:31,760 --> 00:36:36,760 +الجهد بينهم؟ تمام؟ أنا قاعد بنجول من hand لـ hand لو + +504 +00:36:36,760 --> 00:36:40,100 +جبتلي فرق الجهد لـ hand بتقدر تجيب الشغل بقوله اه + +505 +00:36:40,100 --> 00:36:43,420 +الشغل بيساوي شحنة الـ electrode في فرق الجهد لـ hand + +506 +00:36:43,420 --> 00:36:46,940 +لأنه أنا بنجول من hand لـ hand ولا لأ ذاكرين؟ فرق + +507 +00:36:46,940 --> 00:36:51,620 +الجهد من نقطتين يعرف على أن الشغل اللازم عشان أنقل + +508 +00:36:51,620 --> 00:36:55,840 +وحدة الشحنات من نقطة لنقطة لو بدي أجيب الشغل عشان + +509 +00:36:55,840 --> 00:36:59,720 +أنقل شحنة بقوله دروف الشحنة المنقولة تمام؟ بيقول لي + +510 +00:37:01,520 --> 00:37:07,820 +هذا يعني أن العمل محتاج لتشارج كاباسيتور، والعمل + +511 +00:37:07,820 --> 00:37:12,780 +بتاعنا هو بطارية وهذا العمل محتاج لتشارج كاباسيتور + +512 +00:37:12,780 --> 00:37:13,500 +.هذا العمل محتاج لتشارج كاباسيتور.هذا العمل محتاج + +513 +00:37:13,500 --> 00:37:19,120 +لتشارج كاباسيتور.هذا العمل محتاج لتشارج كاباسيتور.هذا + +514 +00:37:19,120 --> 00:37:23,400 +العمل محتاج لتشارج + +515 +00:37:23,400 --> 00:37:28,270 +كاباسيتور، واضرب بشحن المنقولة وانهيها القضية بيقول + +516 +00:37:28,270 --> 00:37:30,450 +لي كهذا البرنامج اللي بيبقى بيت كمستو كان في الأول + +517 +00:37:30,450 --> 00:37:34,610 +فاضي قال ليش فارقة جوهر بين طلافينه؟ سفر، مظبوط ولا + +518 +00:37:34,610 --> 00:37:40,610 +لأ؟ أول إلكترون نجاته بتبذل الشغل لأ، لو كان فيه + +519 +00:37:40,610 --> 00:37:43,750 +فرق جوهب بينهم، ففيش الـ capacitor عبارة عن البيت + +520 +00:37:43,750 --> 00:37:46,050 +الـ capacitor is initially uncharged + +521 +00:37:46,050 --> 00:37:49,350 +that Q الشحنات الإلكتروني من يرجع حاجات للـ non + +522 +00:37:49,350 --> 00:37:51,070 +-another يعني الشحنات الموجبة بيبقى تبروها اللي + +523 +00:37:51,070 --> 00:37:55,790 +بتتحرك support that Q small q is that charge built + +524 +00:37:55,790 --> 00:37:59,230 +up on the capacitor at some instant أنت ما نبّتش + +525 +00:37:59,230 --> 00:38:02,770 +حاجة الـ capacitor في الآخر هيصفي عليك شحنات capital + +526 +00:38:02,770 --> 00:38:05,910 +Q لكن الـ capital Q مرة واحدة تيجي ولا واحدة واحدة؟ + +527 +00:38:06,460 --> 00:38:12,940 +نفترض هذه العملية ستأخذ معك خمس ثواني خمس ثواني + +528 +00:38:12,940 --> 00:38:17,040 +أكبرها شوية بعد ثانيتين تفحص فيه شحنات بيكونوا ولا + +529 +00:38:17,040 --> 00:38:20,760 +لأ فيه هذول الشحنات اللي فحصتهم بعد ثانيتين أرمزهم + +530 +00:38:20,760 --> 00:38:24,740 +بالرمز small q كل الشحنات اللي لسه مخلصوش لسه جزء + +531 +00:38:24,740 --> 00:38:29,280 +هي small q حيث بعد ثانيتين لو جيبك فولتميتر جسد + +532 +00:38:29,280 --> 00:38:32,560 +بتلاقي فرق جوهب اللي لأ بلاقي كيف تحسبوه بيكون + +533 +00:38:32,560 --> 00:38:36,800 +small q على أساسه صح ولا لأ؟ لذا بعد ثانيتين يعني + +534 +00:38:36,800 --> 00:38:37,920 +أثناء عملية الشحن + +535 +00:38:41,730 --> 00:38:49,650 +أثناء عملية الشحن لسه ما انتهيتش بمعنى آخر لسه الجهود + +536 +00:38:49,650 --> 00:38:53,830 +ما تساوتش لسه الجهود ما تساوتش تم الـ Potential + +537 +00:38:53,830 --> 00:38:57,430 +Difference across the capacitor at this instant + +538 +00:38:57,430 --> 00:39:01,070 +بقى ثانيتين لسه أنت ما خلصتش جديش الجهود يقول يخلينا + +539 +00:39:01,070 --> 00:39:04,450 +جديشه بدي أحسبه ليس على جديشه V بالساوية Q على C غلط + +540 +00:39:04,450 --> 00:39:10,690 +صح وحطيت اسمه V لأنه جزء من V مش كله بيقول لأن + +541 +00:39:10,690 --> 00:39:14,890 +أنت جاعل تنقل لسه بيقول احسب لي الآن أنت مجلد 100 + +542 +00:39:14,890 --> 00:39:19,690 +إلكترون احسب لي الشغل اللازم عشان أنقل الإلكترون + +543 +00:39:19,690 --> 00:39:26,120 +101 بينهم جالي 100 جهد عرفتها والإلكترون المنقول + +544 +00:39:26,120 --> 00:39:31,020 +بعرفه اضرب بقول الـ DW الشغل اللازم عشان أنقل شحنة + +545 +00:39:31,020 --> 00:39:38,000 +واحدة بتساوي V في DQ وDQ هي المنقولة في V و V هيها + +546 +00:39:38,000 --> 00:39:41,600 +هذا الشغل عشان أنقل شحنة واحدة طب أنت شحنة واحدة + +547 +00:39:41,600 --> 00:39:46,740 +بتنقل؟ بتنقل كتير كامل قال له إيمان كامل العمل + +548 +00:39:46,740 --> 00:39:52,480 +الكامل يتطلب أن تشجع كاباسيتور من أي حالة تشجع في + +549 +00:39:52,480 --> 00:40:02,660 +الأول كان فاضي لتشجع capital Q إذا كامل هذا كامل + +550 +00:40:02,660 --> 00:40:06,080 +لماذا لم تبدأ من صفر لـ capital Q في الأول لماذا + +551 +00:40:06,080 --> 00:40:11,440 +كان فاضي وفي الآخر تشجع capital Q تمام لماذا + +552 +00:40:11,440 --> 00:40:15,040 +السوق يريد أن يخزن داخله على أي طاقة هذا العمل + +553 +00:40:15,040 --> 00:40:19,920 +سيكون مخزن في الكاباسيتور كإنجليزيا قوية U تساوي Q + +554 +00:40:19,920 --> 00:40:26,840 +تربيع على 2C هذا القانون لو استخدمته سيجلبك مانصغتين + +555 +00:40:26,840 --> 00:40:33,340 +إليه حط Q تساوي C في V C في V سيحط C V تربيع V + +556 +00:40:33,340 --> 00:40:36,560 +تربيع معاسم هنا نصف C V تربيع + +557 +00:40:40,260 --> 00:40:46,680 +أو خلّى Q حق بدل C Q على D فهذه الـ C كلها لـ U ومن + +558 +00:40:46,680 --> 00:40:50,780 +تحفظ احفظ واحد فيهم اللي اشتقته أسهل تحفظه نصف Q + +559 +00:40:50,780 --> 00:40:54,080 +تربيع على C والاثنين بيجيوا من القرن هذا مافيش أي + +560 +00:40:54,080 --> 00:40:59,820 +إشكالية يزنها U طبعا واحدة تبعتنا جول خلّيني أشوف + +561 +00:40:59,820 --> 00:41:04,800 +الجول هذا إيش قصته ما هي مبين أصلا ماديهوش قصة هذه + +562 +00:41:04,800 --> 00:41:08,900 +Coulomb-Wold هي جول ما بيديش أشتقها ولا أغلي بحالي + +563 +00:41:08,900 --> 00:41:09,820 +تمام + +564 +00:41:12,440 --> 00:41:17,680 +نشوف هالمثال يعني هو ده مثال شوية مش علاقة مباشرة + +565 +00:41:17,680 --> 00:41:24,140 +بالـ energy بس يعني عشان نفهم إيش اللي بيصير شوية + +566 +00:41:24 + +601 +00:43:42,890 --> 00:43:49,150 +دلوقت؟ C في V صح؟ C واحد في V نوعية واحدة موجة + +602 +00:43:49,150 --> 00:43:54,430 +بواحدة ساية بقى في مشكلة؟ تمام جبت التاني شبكته + +603 +00:43:54,430 --> 00:43:59,450 +بالبطارية انشحن ولا لأ؟ خلاص بقول حرك ليه حرك ليه + +604 +00:43:59,450 --> 00:44:05,350 +فكيت البطارية برضه هيك صار جلبته انا جلبته + +605 +00:44:07,960 --> 00:44:10,320 +the charge on each capacitor before closing the + +606 +00:44:10,320 --> 00:44:12,780 +switches دي هم .. هيبقى الـ switches هيبقى ايه .. + +607 +00:44:12,780 --> 00:44:17,200 +مزايا مافيش عنده closing Q1 initial بالساوي C1 V0 + +608 +00:44:17,200 --> 00:44:21,120 +و Q2 initial بالساوي C2 V0 initial يعني قبل ما + +609 +00:44:21,120 --> 00:44:24,960 +أسكر مفاتيحي شباب .. تمام؟ هيسر البطارية روحت .. + +610 +00:44:24,960 --> 00:44:28,100 +انسوا البطارية مش موجودة .. شحنة روحت .. تمام؟ قال + +611 +00:44:28,100 --> 00:44:32,880 +الهلجيت إيش بيكسوي؟ after closing the switches هيك + +612 +00:44:32,880 --> 00:44:38,850 +هتصير .. مظبوط ولا لأ؟ انت بقولي شباب هلجيت ..فوق + +613 +00:44:38,850 --> 00:44:46,110 +في عشرة و تحت في ناقص تمانية اعتبرها جديش الـ total + +614 +00:44:46,110 --> 00:44:50,990 +اتنين الـ total اتنين واحد جديش بده ياخد والتاني + +615 +00:44:50,990 --> 00:44:53,970 +جديش بده ياخد مانيش دعوة اذا اخد الفجار نصف + +616 +00:44:53,970 --> 00:44:56,910 +والتاني تحتاني جديه بده يكون واحد و نصف لكن مقدر + +617 +00:44:56,910 --> 00:45:00,300 +اقول ان المجموع صار اتنين ولا لأ؟طب فان المجموعة + +618 +00:45:00,300 --> 00:45:05,800 +هنا بقدر أقول بـ C1 V0 ناقص C2 V0 ولا لأ؟ طب ايه + +619 +00:45:05,800 --> 00:45:08,820 +اللي بيعشق التانية نفس القضية؟ واحدة موجة بواحدة + +620 +00:45:08,820 --> 00:45:12,920 +سلب، التانية هتكون سلب اتنين ولا لأ؟ اذا بيقوللي + +621 +00:45:12,920 --> 00:45:16,460 +after closing the switches the net is charged on + +622 +00:45:16,460 --> 00:45:19,340 +the two capacitors، the net اللي هو اتنين يعني، + +623 +00:45:19,340 --> 00:45:21,840 +عادتني من الـ net ع التنتين، ماجدتش كل واحدة أخدت + +624 +00:45:21,840 --> 00:45:27,360 +مصيبة مش عارف لسه، تمام بيقوللي هدول، ماجدتيش؟هي + +625 +00:45:27,360 --> 00:45:32,000 +الـ net و مش هدول الـ net جديش و هدول الـ net برضه + +626 +00:45:32,000 --> 00:45:36,780 +بتساوي q واحد initial نقص q اتنين initial طبعا في + +627 +00:45:36,780 --> 00:45:40,580 +الأخر اخد هادي و لا اخد هادي بتفرجش معايا طبعا + +628 +00:45:40,580 --> 00:45:43,080 +هادي هتطلع اتنين و هدا هتطلع صلب اتنين مضبوط ولا + +629 +00:45:43,080 --> 00:45:48,360 +لأ لكن capsulate value واحدة منهمبتساوي V0 C1-C2 + +630 +00:45:48,360 --> 00:45:51,700 +على اعتبار ان Q1 initial هي شباب و Q2 initial هي + +631 +00:45:51,700 --> 00:45:56,680 +جمتي الـ V0 عالم مشترك لأنها طلعت C1-C2 هال 2 أكبر + +632 +00:45:56,680 --> 00:45:59,420 +من التانية هو جاي يقوللي C1 أكبر من C2 لكن لو + +633 +00:45:59,420 --> 00:46:05,340 +عكستها في الآخر تفجيهش معايا هاي Q الـ net ها دي طب + +634 +00:46:05,340 --> 00:46:09,400 +ال 2 ها دي دي انا جوب 8 او 10 او 2 ايش اولا قطها + +635 +00:46:09,400 --> 00:46:12,910 +بكل واحدة هال جت لحال مش المجموعالمجموعة اتنين + +636 +00:46:12,910 --> 00:46:16,690 +بقدر اقول الان the minus sign هو بس بيقولي من وين + +637 +00:46:16,690 --> 00:46:19,310 +اتيت الـ minus sign is because the two plates are + +638 +00:46:19,310 --> 00:46:22,210 +that are connected with opposite pluralities بيقول + +639 +00:46:22,210 --> 00:46:25,030 +السلب اللي انت شايفه هنا عشان هنا فيه سلب انا بجمع + +640 +00:46:25,030 --> 00:46:29,150 +بجمع عشرة و سلب تمانية مابقولش عشرة زي التمانية + +641 +00:46:29,150 --> 00:46:32,950 +بقول عشرة و سلب تمانية و هنا بيصير سالب عشرة و زي + +642 +00:46:32,950 --> 00:46:36,630 +التمانية واضح فحكاية السلب مش اللي يقولي لازم تكون + +643 +00:46:36,630 --> 00:46:41,210 +موجب لأ السلب معروف علشانبقول since the two + +644 +00:46:41,210 --> 00:46:44,390 +capacitors are connected together هجيت هدول شباب + +645 +00:46:44,390 --> 00:46:49,370 +ماشي كون بكتر صار واحد بقدر اقول V1 بيساوي V2 ولا + +646 +00:46:49,370 --> 00:46:53,730 +لأ اه مانهاش دعوة بالتوازي والتواري V1 بيساوي V2 + +647 +00:46:53,730 --> 00:46:57,230 +لان هدول مستمرين مع بعض بقول since the two + +648 +00:46:57,230 --> 00:47:00,210 +capacitors are connected together this charge will + +649 +00:47:00,210 --> 00:47:03,190 +be distributed between the two capacitors provided + +650 +00:47:03,190 --> 00:47:08,460 +thatv1 لازم تساوي v2 اتوصلت تسكّلت مفاتيحي اذا + +651 +00:47:08,460 --> 00:47:12,080 +لازم v1 final تساوي v2 final كمان مرة final بتعني + +652 +00:47:12,080 --> 00:47:15,760 +بعد ما سكّلت مفاتيحي فfinal هذه قطعة طيب هي v + +653 +00:47:15,760 --> 00:47:19,280 +final انها قانون بقوله اه v final بتساوي q1 final + +654 +00:47:19,280 --> 00:47:26,000 +على سيوي واحد و q2 final بتساوي c2 final اذا و هذه + +655 +00:47:26,000 --> 00:47:31,120 +q1 final زي ادي q2 final بتساوي q total اللي هي + +656 +00:47:31,120 --> 00:47:35,080 +هذهاللي هي هذه اللي قلت عنها اتنين هذه اتنين + +657 +00:47:35,080 --> 00:47:38,680 +اتوزعت بين اتنين بحيث ان المجموعة لازم تسوى اتنين + +658 +00:47:38,680 --> 00:47:44,740 +فبقولي صار عندك هدول العقتين imply that هذه بتقولي + +659 +00:47:44,740 --> 00:47:49,420 +q1 final ع c1 و هذه بتقولي q2 final ع c2 قلو هاي + +660 +00:47:49,420 --> 00:47:52,460 +معادلة و هاي معادلة يا شباب و كان مجهول عندك q1 + +661 +00:47:52,460 --> 00:47:57,770 +final و q2 final هاي مجهولين طلحهم قالي طلحهموها + +662 +00:47:57,770 --> 00:48:02,170 +دي capital Q شحتها من الورق اللي جابلها Q1 سوى Q + +663 +00:48:02,170 --> 00:48:06,770 +ايه اشتغل؟ from equation 1 and 2 طلعت Q1 final + +664 +00:48:06,770 --> 00:48:11,830 +وطلعت Q2 final كل واحد جديش نصيبه نص وواحد ونص ولا + +665 +00:48:11,830 --> 00:48:14,490 +عشرين وواحد و تمانية عشر لكن في النهاية لازم + +666 +00:48:14,490 --> 00:48:18,270 +المجموع يكون اتنين فهي طلعت Q1 final وQ2 final + +667 +00:48:18,270 --> 00:48:24,010 +اجمعهم بتطلع هذه Q اللي هي هذه تمام الان from + +668 +00:48:24,010 --> 00:48:24,930 +equation 1 + +669 +00:48:27,490 --> 00:48:32,410 +from equation 1 we get .. مش equation 1 هذه .. من + +670 +00:48:32,410 --> 00:48:37,490 +هذه .. انه VAB بيسوي V1 final بيسوي V2 final و + +671 +00:48:37,490 --> 00:48:41,990 +بطلحها V1 final .. هي بال equation 1 في الآخر .. + +672 +00:48:41,990 --> 00:48:47,350 +ما هي هذه نفسها .. V .. هذه V1 شباب و هذه V2 و + +673 +00:48:47,350 --> 00:48:51,810 +الآن Q1 final و Q2 final اللي عرفوا فبطلّع V1 + +674 +00:48:51,810 --> 00:48:55,610 +final و V2 final كأقام طلعت بهذه النتيجة + +675 +00:48:57,870 --> 00:49:00,190 +في الأول هو كان بده فرق الجهد و طلعت فرق الجهد + +676 +00:49:00,190 --> 00:49:06,030 +مافيش مشكلة مازال انا جيبت هادي بقدر اجيب هادي و + +677 +00:49:06,030 --> 00:49:09,650 +هادي هي نفسها و equivalent اللي هي AP نفسها ايش + +678 +00:49:09,650 --> 00:49:13,670 +المطلب التاني بيقول يجيب لي U قبل ما ساكن المفاتيح + +679 +00:49:13,670 --> 00:49:17,870 +و U بعد ما ساكن المفاتيح بيقول before closing the + +680 +00:49:17,870 --> 00:49:23,300 +switches المكثفين انشحنواU Initial بيسوي 1 Initial + +681 +00:49:23,300 --> 00:49:30,040 +زي ما يحسبون 10 او 18 ديوت ده بيحسبه بما يهدي إلى + +682 +00:49:30,040 --> 00:49:35,120 +خطط قدت قوانين و نص في واحد V not تربية طبعا قبل + +683 +00:49:35,120 --> 00:49:39,260 +ما أسكر مفاتيح الشباب V تبعتها تبعت البطارية و + +684 +00:49:39,260 --> 00:49:42,960 +التاني قبل ما أسكر المفاتيح V تبعتها تبعت البطارية + +685 +00:49:42,960 --> 00:49:50,440 +حسبتهم طلعتها هذي U Initialهل بعد ما أسكر مفاتيحي + +686 +00:49:50,440 --> 00:49:55,520 +بيظل جهدي المكثف بيساوي جهد البطارية؟ لأ جهد جديد + +687 +00:49:55,520 --> 00:49:59,420 +هو أنا لما شبكت بالبطارية أخد جهدي البطارية بذل + +688 +00:49:59,420 --> 00:50:02,760 +حاله بيظلوا جهدي البطارية غيروا رابطوا مع بعض + +689 +00:50:02,760 --> 00:50:08,180 +تنتقل الشحنات من واحد للتاني حتى الجهود تتغير و + +690 +00:50:08,180 --> 00:50:11,900 +تتساوى فالجهود بتتغير بعد كده بيقول after closing + +691 +00:50:11,900 --> 00:50:17,910 +the switchesأيش صار U final برضه بتسوي U1 final زي + +692 +00:50:17,910 --> 00:50:22,390 +U2 final هنا U1 initial زي U2 initial هنا U1 final + +693 +00:50:22,390 --> 00:50:26,950 +زي U2 final وهذه بتسوي منها واحد C1 V final تربية + +694 +00:50:26,950 --> 00:50:30,510 +زي نص C2 V final تربية او V final تربية انا طلعتها + +695 +00:50:30,510 --> 00:50:34,090 +انا وياكم بتعود و بتطلع النتيجة اللي هي VAB + +696 +00:50:34,090 --> 00:50:39,920 +وطلعناها بهذا الشكلالشحنات تتغير ولا تنقل؟ تتغير + +697 +00:50:39,920 --> 00:50:42,540 +طبعا، مش هتتقل الشحنات من اللي على جهود إلى اللقاء + +698 +00:50:42,540 --> 00:50:45,720 +للجهود، هتتساوي الجهود، احنا واحد كده عشرة، واحدة + +699 +00:50:45,720 --> 00:50:48,980 +ناقص تمانية، صار اتنين، هجد في واحد ممكن ياخد + +700 +00:50:48,980 --> 00:50:52,880 +تمانية وياخد عشرة، وهم كلهم اتنين، صح ولا؟ في + +701 +00:50:52,880 --> 00:50:53,840 +الواحد ده اللي على الأرقام + +702 +00:50:57,590 --> 00:51:01,550 +مانشوش اصغار في صواب ال .. ال .. الرموز خينا عشر + +703 +00:51:01,550 --> 00:51:05,590 +او تمانية واحد عشر هو هتسلب تمانية في الآخر ده على + +704 +00:51:05,590 --> 00:51:07,950 +مثال كلمة مفاتيحي في واحد منهم ممكن ياخد عشر و لا + +705 +00:51:07,950 --> 00:51:12,110 +ياخد تمانية لأ في الآخر حده الأقصر يزيد تاني سفر و + +706 +00:51:12,110 --> 00:51:16,350 +يكون اتنى لكن مش هتكون سفر هياخد ان شاء الله عشر و + +707 +00:51:16,350 --> 00:51:20,390 +يكون تاني واحد قصة عشر اذا ان خلاص هيتغير الشحنات + +708 +00:51:20,390 --> 00:51:24,900 +مع أن كانت عشر او كانت تمانيةواحد و نص و نص و واحد + +709 +00:51:24,900 --> 00:51:29,160 +و ربع و تتربع و حاجة زي ايه فبتتغير الشحنات + +710 +00:51:29,160 --> 00:51:34,400 +لمنتقلة من واحد لواحد طبعا هذه حكاية الكابسيتر + +711 +00:51:34,400 --> 00:51:39,440 +الشباب يعني موضوع كثير سهل بس خلينا نرجعه بصورة + +712 +00:51:39,440 --> 00:51:44,080 +سريعة ان انا الكابسيتر جهاز وظيفته تخزين الطاقة + +713 +00:51:44,080 --> 00:51:50,860 +الكهربائية اهم خاصية شبابه هو سعته سعته هو مصطلح + +714 +00:51:50,860 --> 00:51:52,360 +فيزيائي + +715 +00:51:55,630 --> 00:52:00,450 +كدّيش صفات هذا الكمبيوتر؟ ايه شغلقة الـ V مع الـ Q + +716 +00:52:00,450 --> 00:52:04,850 +هو اللي بربطها C؟ الـ Q مع الـ V بينهم علاقة ترضية + +717 +00:52:04,850 --> 00:52:08,870 +يا شباب زادت الـ Q زادت الـ V زادت الـ V زادت الـ Q + +718 +00:52:08,870 --> 00:52:13,590 +ثابت التناسب هو C هذه الـ C بالرغم إنها بتربط Q و V + +719 +00:52:13,590 --> 00:52:18,470 +تتعفش بيهماللي بتقفر في C هو التركيبة الداخلية تبع + +720 +00:52:18,470 --> 00:52:22,770 +الكماسيتر و اللي احنا ركزنا على ي نوت و A و D + +721 +00:52:22,770 --> 00:52:28,170 +تتناسب تراضيا مع A عكسيا مع D و فيها بتتناسب ي نوت + +722 +00:52:28,170 --> 00:52:33,690 +و اتفقنا ي نوت هذي بتمثل الوسط العازل صح ولا لا؟ + +723 +00:52:34,140 --> 00:52:40,480 +الكباسيتر ممكن نوصلهم + +724 +00:52:40,480 --> 00:52:46,480 +على التوازي اذا وصلناهم على التوازي الشحنات تتساوى + +725 +00:52:46,480 --> 00:52:52,220 +و تكون C جليلة اذا وصلناهم على التوازي الجهود + +726 +00:52:52,220 --> 00:52:57,260 +تتساوى و C تزيد حسبنا الـ energy لما اصلا حكينا ان + +727 +00:52:57,260 --> 00:53:01,980 +الكباسيتر is a device to store energy كيف نحسبها + +728 +00:53:01,980 --> 00:53:07,750 +حسبناهامش كتير احنا بنجيه منه prove that لكن في + +729 +00:53:07,750 --> 00:53:11,270 +النهاية استقطناه من معلومات بسيطة انه عبارة عن شغل + +730 +00:53:11,270 --> 00:53:16,430 +حسبنا الشغل وطلعنا U equal half Q تربيه over C + +731 +00:53:16,430 --> 00:53:21,890 +الان بدي أغير هالفراغ انا الوسط العازل بدي أغيره + +732 +00:53:21,890 --> 00:53:27,550 +وكل المكثفات التجارية الوسط العازل مش فراغفموضوعنا + +733 +00:53:27,550 --> 00:53:32,350 +الآن capacitors with dielectric الفراغ أصبح مادة + +734 +00:53:32,350 --> 00:53:35,730 +عازلة أخرى dielectric هو الوسط العازل نشوف ايش + +735 +00:53:35,730 --> 00:53:39,950 +بيحصل .. بلاستيك .. مش بدلوه فيش اللي بلاستيك .. + +736 +00:53:39,950 --> 00:53:44,450 +بلاستيك أحد أنواعها .. بلاستيك ووراج .. مادة + +737 +00:53:44,450 --> 00:53:49,550 +كيميائية معينة .. و هو قوى .. اه لكن في الآخر + +738 +00:53:49,550 --> 00:53:52,750 +الشغل العملي لم يكن الشيء .. تمام؟ حتة بيعملوا + +739 +00:53:52,750 --> 00:53:57,880 +ضعيف في الشغل التجارية .. شغل الصين ..A + +740 +00:53:57,880 --> 00:54:00,060 +bioelectric is an insulating material + +741 +00:54:04,720 --> 00:54:08,400 +تمام it is found that قالوا هذا الكبسيطر اللي كان + +742 +00:54:08,400 --> 00:54:12,600 +ساعة و عشرة مايكروفارات واحد جاب جطعة بلاستيك و + +743 +00:54:12,600 --> 00:54:15,780 +حطها في النص و اتغيرت الساعة طبعا الواحد لم يعرف + +744 +00:54:15,780 --> 00:54:18,100 +ايش يسوي تجوية اللي انت بتلعب فيه جاعت بتلعب في + +745 +00:54:18,100 --> 00:54:21,980 +تركيبته الداخلية منطقي انها Z زيد او تتغير على + +746 +00:54:21,980 --> 00:54:24,980 +الأقل تمام ما زال انت لعبش في تركيبة الداخلية + +747 +00:54:24,980 --> 00:54:30,270 +تبعته اذا مدرسيه تتغير حط بلاستيكC تغيرت جامعي + +748 +00:54:30,270 --> 00:54:35,210 +بلاستيك حاط خشب C طلعت كمية جديدة تمام لان وابسه + +749 +00:54:35,210 --> 00:54:38,830 +بيتغير بيقول لي هو بيشتغل في المعمل it is found + +750 +00:54:38,830 --> 00:54:43,070 +that when a dielectric material خشب بلاستيك مطاط + +751 +00:54:43,070 --> 00:54:44,370 +وورق زجاج + +752 +00:54:55,180 --> 00:54:58,760 +الذي يزيد مع الزجاج غير اللي يزيد عن الحشب + +753 +00:55:03,750 --> 00:55:07,950 +مادة حطيتها انغابة C الأولانية بفاكتره معين رمزيه + +754 +00:55:07,950 --> 00:55:10,710 +بالرمز Kappa الكل صغيرها دي حرف يوناني Kappa + +755 +00:55:10,710 --> 00:55:14,730 +بيسموه هو الكل في اللغة اليونانية code the + +756 +00:55:14,730 --> 00:55:17,490 +bioelectric constants of the material سموها ثابت + +757 +00:55:17,490 --> 00:55:20,830 +الـ bioelectric يعني هذا ثابت الزجاج، هذا ثابت + +758 +00:55:20,830 --> 00:55:25,700 +الخشب، هذا ثابت البلاستيك، تمام؟That is ايه قالوا؟ + +759 +00:55:25,700 --> 00:55:29,960 +قالوا C بالساوية كابا في C نوت C شبه بالسعة مع الـ + +760 +00:55:29,960 --> 00:55:34,820 +dielectric C نوت السعة مع الفراغ نوت دايما بياخد + +761 +00:55:34,820 --> 00:55:38,860 +الفراغ بيقول where C and C نوت are the capacitance + +762 +00:55:38,860 --> 00:55:43,060 +with and without the dielectric respectively إذا C + +763 +00:55:43,060 --> 00:55:49,160 +نوت هي السعة لما يكون الـ dielectric فراغC هو السعة + +764 +00:55:49,160 --> 00:55:51,380 +لما يكون الداي إلكتريك المادة الداي إلكتريك اللي + +765 +00:55:51,380 --> 00:55:55,580 +أنا بدي استخدمها لجوا ان C أكتر من C0 بمعنى أخر + +766 +00:55:55,580 --> 00:56:00,860 +لما أزود الداي إلكتريك أغيره السعة بتزيد السعة + +767 +00:56:00,860 --> 00:56:03,580 +بتزيد طب هدى ميزة إذا أنا ماعنديش أخليها فراغ + +768 +00:56:03,580 --> 00:56:09,730 +بتحطلي أي مادةSince C is always greater than C0, + +769 +00:56:09,890 --> 00:56:12,950 +the bioelectric constant K must + +801 +00:58:27,620 --> 00:58:29,980 +المادة بيقول لي هذه الـ dielectric في النهاية مادة + +802 +00:58:29,980 --> 00:58:35,020 +ولا مش مادة؟ مادة وأنتم غالباً المواد كيف أنتم + +803 +00:58:35,020 --> 00:58:39,430 +بتعرفوا إنه تتكون فيها الجزيئة تتكون من أيونات صح؟ + +804 +00:58:39,430 --> 00:58:42,830 +ولا لأ؟ كل النواة حولها إما أيونات وإذا مش أيونات + +805 +00:58:42,830 --> 00:58:45,450 +بتشبهي الأيونات يعني في النهاية بتعامل معاها على + +806 +00:58:45,450 --> 00:58:49,450 +إنها dipoles ولا مش dipoles؟ الـ أيون إيش هو؟ مش + +807 +00:58:49,450 --> 00:58:52,650 +أيون موجب أو أيون سالب؟ وأيًّا كانت الشحنة في + +808 +00:58:52,650 --> 00:58:55,210 +الآخر حتى لو كانت ذرة بيقول ما هو.. إيش فيه في + +809 +00:58:55,210 --> 00:59:02,810 +النواة؟ وإيش فيه هنا؟ واحنا بطبيعة الأحوال المادة + +810 +00:59:02,810 --> 00:59:06,210 +متعادلة ومش متعادلة هادي وهاديون بتساوي بعض ولا + +811 +00:59:06,210 --> 00:59:12,110 +لا؟ تصير عندك زي إيش؟ +Q و -Q ذاكرين هذا + +812 +00:59:12,110 --> 00:59:16,370 +المثال أول شحنة وسميته electric dipole سمّيته الـ + +813 +00:59:16,370 --> 00:59:19,210 +dipole إذا بيقول المادة بكل الأحوال هي عبارة عن + +814 +00:59:19,210 --> 00:59:23,050 +عدة dipoles جواها dipoles ثنائي قطبي سميناها + +815 +00:59:23,050 --> 00:59:27,210 +electric dipoles جالي طيب خلينا نشوف هاي الـ dipole + +816 +00:59:27,210 --> 00:59:32,810 +كل مادة مكونة من ميادها دول كل مادة مكونة من مياد + +817 +00:59:32,810 --> 00:59:36,630 +زي هدول وهدول بيسبحوا كل واحد حر كل واحد بيروح + +818 +00:59:36,630 --> 00:59:39,010 +على الطريق اللي بده إياه ما حد جاله وين أنتَ + +819 +00:59:39,010 --> 00:59:42,670 +بيقول لي صبّ ذاته the dielectric is a polar material + +820 +00:59:42,670 --> 00:59:45,890 +مادة مصنوعة من الـ بولارا.. Polars has a permanent + +821 +00:59:45,890 --> 00:59:49,810 +electric dipole بيقول لي لأن هادي اللي بده أدخلها + +822 +00:59:49,810 --> 00:59:52,630 +دي هو الـ capacitor الـ capacitor مشحون شباب ولا مش + +823 +00:59:52,630 --> 00:59:57,310 +مشحون؟ اعتبره مشحون، تمام؟ يعني جوا في مجال كهربائي + +824 +00:59:57,310 --> 01:00:00,970 +ولا ما فيش مجال كهربائي؟ في مجال كهربائي جالي the + +825 +01:00:00,970 --> 01:00:03,930 +electric field of the capacitor بدلّ مصدره بالرمز E + +826 +01:00:03,930 --> 01:00:09,770 +node هذا لما يكون موجود هذا هو إيه صار؟ جالي صار + +827 +01:00:09,770 --> 01:00:16,520 +فيه قوة هيك وقوة هيكليوش القوة مرة مع المجال و + +828 +01:00:16,520 --> 01:00:21,160 +مرة ضد المجال؟ عشان حسب الشحنة بقى صار في عزم + +829 +01:00:21,160 --> 01:00:25,460 +ولا ما صار عزم؟ لفّ الدايبول هذا الأزرق والأحمر + +830 +01:00:25,460 --> 01:00:31,150 +بيلف صار في عندك عزم صح ولا لأ؟ بيقول لي الطرق + +831 +01:00:31,150 --> 01:00:39,270 +الهيئة للقوات الـ E0 تعمل طرق على الدايبول المجلد لكي + +832 +01:00:39,270 --> 01:00:44,510 +يقوم بإعادة هذه الدايبول إلى اتجاه E لفّ هذه هيك + +833 +01:00:44,510 --> 01:00:47,890 +وهذه هيك هي F positive وهي F negative + +834 +01:00:58,650 --> 01:01:02,710 +هيجيب صوبه هيك، بعد كده بيلفه، في دايبول هالجات؟ + +835 +01:01:02,710 --> 01:01:05,770 +لأ، مع أن في forces ما فيش دايبول فبقيت رواية + +836 +01:01:05,770 --> 01:01:10,850 +كلها، اتجسّساش، صويت أنتَ محور + +837 +01:01:10,850 --> 01:01:15,410 +الدوران حوالي النصّ لفّ محور الدوران حوالي النقطة + +838 +01:01:15,410 --> 01:01:19,450 +هالي، هيجيب أنتَ هي عندك هي واحد شدّه من هنا واحد + +839 +01:01:19,450 --> 01:01:24,150 +شدّه من هنا هيعمل هيكبظبط ولا لأ؟ حاجات هي وها + +840 +01:01:24,150 --> 01:01:27,570 +واحد بيشدّه هيك وواحد بيشدّه هيك بيشدّه هنا من هنا و + +841 +01:01:27,570 --> 01:01:31,130 +من هنا بدي لفّ ولا ما فيش لفّ؟ بلفّ هيروح الـ girl يشدّ + +842 +01:01:31,130 --> 01:01:34,110 +مهالة بكرة وهذا يشدّ مهالة بكرة بدي لفّ؟ لأنه + +843 +01:01:34,110 --> 01:01:37,470 +ما فيش عزم القوة صارت مع نفس محور الدوران تمام + +844 +01:01:37,470 --> 01:01:42,510 +جفر هيك، الآن بيقول لي win all the balls aligned + +845 +01:01:42,510 --> 01:01:45,410 +with the field صاروا بنفس الـ field بيسميها aligned + +846 +01:01:45,410 --> 01:01:49,590 +يعني صار خطها مع خط الـ field مع نفس الخط we said + +847 +01:01:49,590 --> 01:01:52,530 +that the material is polarized في مصطلح بيقولوا + +848 +01:01:52,530 --> 01:01:57,630 +المادة استقطبت استقطبت كيف يعني إنه اتصفّت اتصفّتت + +849 +01:01:57,630 --> 01:02:01,290 +بيسميها polarized عندما شوفها بيقول هيك المادة + +850 +01:02:01,290 --> 01:02:05,650 +أصلها هيها شايف كل واحد وين سابح لحاله هيك أصل + +851 +01:02:05,650 --> 01:02:09,110 +المادة حاجات بده أحطها في مجال كلهم بدهم اتصفّطوا + +852 +01:02:09,110 --> 01:02:13,050 +كلهم بدهم لفّوا واتصفّطوا بنشوف إيش بيصير معايا + +853 +01:02:13,050 --> 01:02:16,070 +بيقولوا هاي الكفاسة الترهجة اللي كان فيها وفرار + +854 +01:02:16,070 --> 01:02:24,510 +أحمل هذه اللي كانت برا وعشوائية وحطها هنا هيك + +855 +01:02:24,510 --> 01:02:31,600 +صارالصفطة aligned بسميها قراعات ليش؟ بقول لأن هذا + +856 +01:02:31,600 --> 01:02:37,040 +الطرف كله سالب وهذا الطرف كله موجب صح ولا لأ؟ إيش + +857 +01:02:37,040 --> 01:02:41,380 +اللي صفّطها؟ المجال الجوّه المجال الجوّه صفّطها طيب جلّ + +858 +01:02:41,380 --> 01:02:44,240 +يخلينا واحدة واحدة هادي وهادي بيرغو بعض ولا + +859 +01:02:44,240 --> 01:02:48,030 +بيرغوش بعض طب وهادي وهادي إيه؟ هادي في جنب حاجة + +860 +01:02:48,030 --> 01:02:51,730 +تغيّرها؟ لأ طب وهادي في حاجة جنب حاجة تغيّرها؟ بصير و + +861 +01:02:51,730 --> 01:02:55,850 +كانها جطع هادي شباب صاروا مصطفّطين شحنات موجبة و + +862 +01:02:55,850 --> 01:02:59,310 +مصطفّطين شحنات سهلة بقدر أقول الآن صار في مجال + +863 +01:02:59,310 --> 01:03:04,830 +كهربائي جوا جدّ صار في مجال كهربائي جديد as a result + +864 +01:03:04,830 --> 01:03:09,290 +of this polarization تصفيتها دي polarization it + +865 +01:03:09,290 --> 01:03:13,590 +charges هدول are produces at the faces of the + +866 +01:03:13,590 --> 01:03:17,150 +dielectric with the positive it charges are near + +867 +01:03:17,150 --> 01:03:20,030 +the negative الـ positive near the negative و الـ + +868 +01:03:20,030 --> 01:03:25,130 +negative near the positive تمام the charge inside + +869 +01:03:25,130 --> 01:03:27,830 +the dielectric cancel each other وبيقول الـ charge + +870 +01:03:27,830 --> 01:03:32,460 +في جوا هدول بلغوا بعض بلغه بعد إيش صار عندي؟ + +871 +01:03:32,460 --> 01:03:37,180 +بيقول لي هيك صار وكعينه اللي جوا لقه وخلاص لقه بعد + +872 +01:03:37,180 --> 01:03:43,140 +تمام قال لي حلو الخط الأخضر هذا المجال الكهربائي + +873 +01:03:43,140 --> 01:03:46,960 +قبل ما أحط الـ material صح بعد ما حطيت الـ material + +874 +01:03:46,960 --> 01:03:51,640 +صار في عندي مجال منموجة بالأصل مجال ثاني اتجه + +875 +01:03:51,640 --> 01:03:56,360 +جديد هذا المجال الجديد جوا المادة الـ total + +876 +01:03:56,360 --> 01:04:01,460 +electric field أجمع ولا أطرح؟ مع بعض ولا عكس بعض؟ + +877 +01:04:01,460 --> 01:04:05,500 +شوف الأصفر والأخضر شوف الأصفر والأخضر هدول مع + +878 +01:04:05,500 --> 01:04:09,580 +بعض ولا عكس بعض؟ المجال الكلّ الآن بدّه ينقص ولا بدّه + +879 +01:04:09,580 --> 01:04:17,140 +يزيد؟ بدّه ينقص المجال هينقص ما زال نزل المجال أدنى + +880 +01:04:17,140 --> 01:04:22,000 +هتشوف السعة هتزيد السعة هتزيد إذا هاي اللي زوج + +881 +01:04:22,000 --> 01:04:28,120 +السعة إنه تولد جوا المادة اللي حطيتها مجال هذا + +882 +01:04:28,120 --> 01:04:34,650 +المجال المدّس المجال الكلي، these charges create an + +883 +01:04:34,650 --> 01:04:39,850 +electric field سمّيته E شرطة اللي هو الأصفر + +884 +01:04:39,850 --> 01:04:44,450 +opposite to E0 وكان عكس E0 فبيقول ليه the net + +885 +01:04:44,450 --> 01:04:48,390 +electric field inside the conductor is therefore + +886 +01:04:49,380 --> 01:04:55,380 +صار بيساوي E not نقص E prime طلعت إنه معكوس بعيد + +887 +01:04:55,380 --> 01:04:59,540 +That is a reduction is occurred in the electric + +888 +01:04:59,540 --> 01:05:03,240 +field صار في عندي نقص في المجال القهوة باعي بس أنا + +889 +01:05:03,240 --> 01:05:06,940 +عندي قانون بيقول V بتساوي E في D شباب V بتساوي E + +890 +01:05:06,940 --> 01:05:13,700 +في D D ثبتت E خست إذا هدي V خست صح ولا لأ؟ the + +891 +01:05:13,700 --> 01:05:15,620 +potential difference across the capacitor + +892 +01:05:15,620 --> 01:05:21,580 +decreases consequently بيقول اللي فيه عندك نقص + +893 +01:05:21,580 --> 01:05:28,340 +بهذا الحالة وإذا V بتساوي V not على K برضه نقص برضه + +894 +01:05:28,340 --> 01:05:33,240 +نقص لكن C بيساوي Q على V C بيساوي Q على V هذي نقصت + +895 +01:05:33,240 --> 01:05:39,240 +إيش فعلًا دي؟ هذي ليش زادت؟ تمام؟ بيقول الـ C بيساوي + +896 +01:05:39,240 --> 01:05:42,880 +الـ Q على الـ V وبنتيجة الـ material عطّقتها هذه + +897 +01:05:42,880 --> 01:05:47,560 +نقصت إذاً هذه زادت وعاد زيد بنفس الثابت and the Q + +898 +01:05:47,560 --> 01:05:51,220 +is constant بقول الـ Q ما اتغيّرت أنتَ شحمت المكثّف + +899 +01:05:51,220 --> 01:05:55,300 +ورميّت البطارية وقعدت بتلعب في المكثّف بتزوّج أو + +900 +01:05:55,300 --> 01:05:58,360 +بتغيّر قعدت في الوسط العازل الـ Q مش بتوصف فيها زي + +901 +01:05:58,360 --> 01:06:06,940 +ما هي أحكي بصحيح وقتش بتغيّر CEO لما بدي ألعب في + +902 +01:06:06,940 --> 01:06:09,660 +تركيبة المكافئة ما عاد بصير جاهز ما أنا فاتح من + +903 +01:06:09,660 --> 01:06:12,220 +يوتيوب وما أنا بلعب فيه وماخد معاك إيه اللي هو وقته + +904 +01:06:12,220 --> 01:06:16,580 +ما أنا بغير الوسط العازل جاهز تمام؟ الـ Q is + +905 +01:06:16,580 --> 01:06:21,480 +constant زي معناته C بتساوي Q على V0 بتساوي C0 + +906 +01:06:21,480 --> 01:06:28,120 +وهذا بإثبات على إنه C قاعد إثبات للمشاهدة + +907 +01:06:28,120 --> 01:06:32,040 +العمليّة لصوتها يعني في الأول هما كان عندهم مشاهدة + +908 +01:06:32,040 --> 01:06:37,160 +غير الوسط العازل في خشّته بقى الساعة بتزيد حط بلاسك + +909 +01:06:37,160 --> 01:06:41,340 +الساعة اتغيرت حطّ ورق الساعة اتغيرت هذا المفهوم في + +910 +01:06:41,340 --> 01:06:45,380 +الأول كان حقيقة خلاص جسد وواقع ما فيش فيه مشكلة + +911 +01:06:45,380 --> 01:06:49,380 +صار بدنا نفسر إيش اللي صار فلما فسروا قالوا إن + +912 +01:06:49,380 --> 01:06:54,420 +المجال أصلًا اتغير ولما اتغير المجال اتغير الجهد + +913 +01:06:54,420 --> 01:06:58,800 +ونتيجة تغير الجهد اتغيرت السعة لأن أنا قاعد + +914 +01:06:58,800 --> 01:07:01,980 +بلعب في السعة في هذه الحالة + +915 +01:07:05,870 --> 01:07:08,550 +بقول اللي حكيته أنا بس آخر حاجة بقول it should be + +916 +01:07:08,550 --> 01:07:10,510 +noted that a limited value of the potential + +917 +01:07:10,510 --> 01:07:13,110 +difference can be applied across a capacitor بقول + +918 +01:07:13,110 --> 01:07:16,330 +كل capacitor بيقول لك جدش الجهد اللي أقصى اللي + +919 +01:07:16,330 --> 01:07:20,830 +ممكن تدخله عليه if the potential exceeds this + +920 +01:07:20,830 --> 01:07:24,050 +value إذا أنتَ قلت ما بديش هالكتابة ومش فاهم هالكتابة + +921 +01:07:24,050 --> 01:07:27,090 +كتب لك عشرة volt وحطّته في الـ breeze اللي هو 220 + +922 +01:07:27,090 --> 01:07:31,210 +volt إيش بيصير؟ the insulating properties of the + +923 +01:07:31,210 --> 01:07:35,560 +dielectric will break down بتطلع الريحة بتطلع + +924 +01:07:35,560 --> 01:07:39,740 +الريحة لأنه الوسط العازل تأيّن والتأيين هو اللي + +925 +01:07:39,740 --> 01:07:42,640 +بطلّع الريحة لأن التأيين بيصير تفاعل كيميائي الشباب + +926 +01:07:42,640 --> 01:07:46,380 +.. بيصير في.. احنا نقول بالعامية انحرج.. وهو + +927 +01:07:46,380 --> 01:07:49,280 +بالعامية مصالح حلو.. انحرج يعني خرب يعني.. بحيث + +928 +01:07:49,280 --> 01:07:51,920 +المعنى.. ارميه.. لأن انحرج بنرميه.. هو مصالح + +929 +01:07:51,920 --> 01:07:56,660 +عامية يعني breakdown and form a conducting medium + +930 +01:07:56,660 --> 01:08:01,120 +صار conducting medium وهي معناه الكبسطار خلف this + +931 +01:08:01,120 --> 01:08:02,960 +limiting value called the breakdown potential + +932 +01:08:02,960 --> 01:08:06,180 +depends on the dielectric strength كتبتها which + +933 +01:08:06,180 --> 01:08:08,220 +is the maximum value of the electric field that + +934 +01:08:08,220 --> 01:08:12,120 +the dielectric can tolerate without breakdown هذه + +935 +01:08:12,120 --> 01:08:16,220 +مجرد سهلة ثانية هكذا نكون إنهينا هذه المحاضرة + +936 +01:08:16,220 --> 01:08:19,520 +ومستنى نفهم إن شاء الله يوم الأحد الجاي diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/qhDM-SKJpN8_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/qhDM-SKJpN8_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..5facd7d1a281354eee76dfea80716142c846cf66 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/qhDM-SKJpN8_raw.srt @@ -0,0 +1,3756 @@ +1 +00:00:00,000 --> 00:00:02,680 +موسيقى + +2 +00:00:10,040 --> 00:00:14,840 +بسم الله الرحمن الرحيم وقفنا المرحلة دي كانت حساب + +3 +00:00:14,840 --> 00:00:20,440 +ال capacitance of capacitors وحسبنا c for parallel + +4 +00:00:20,440 --> 00:00:25,740 +plates capacitor ولاجينا ان c بتسوى y نقطة a على d + +5 +00:00:25,740 --> 00:00:33,920 +وكانت النتيجة ان c تعتمد فقط على التركيبةالهندسية + +6 +00:00:33,920 --> 00:00:37,800 +للكماسيفر كانت تناسب تناسبة انقرضيا مع ال area + +7 +00:00:37,800 --> 00:00:42,320 +وعكسيا مع the separation between the two places + +8 +00:00:45,970 --> 00:00:49,050 +الكباسيتر او الكباسيتر for spherical capacitor + +9 +00:00:49,050 --> 00:00:53,310 +واتفقنا ان الكباسيتر الاسفيريكال يحتوي على اتفاقين + +10 +00:00:53,310 --> 00:00:56,970 +اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين + +11 +00:00:56,970 --> 00:00:56,970 +اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين + +12 +00:00:56,970 --> 00:00:57,590 +اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين + +13 +00:00:57,590 --> 00:00:57,790 +اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين + +14 +00:00:57,790 --> 00:01:12,130 +اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين + +15 +00:01:13,350 --> 00:01:18,370 +هذا هو القانون اللي منه بأحسب جدّي سعة أي كاباسيتر + +16 +00:01:18,370 --> 00:01:21,710 +وعشان كده بيقول عشان نحسب السعة لازم أشحن و لازم + +17 +00:01:21,710 --> 00:01:25,750 +يكون فيه شحنات فهذا راهنش عده الإينار plus q + +18 +00:01:25,750 --> 00:01:30,590 +والأعطر بيكون سالب q إيش دل؟ دل قديم V وهنا V + +19 +00:01:30,590 --> 00:01:34,810 +stand for the potential difference between the two + +20 +00:01:34,810 --> 00:01:38,720 +conductors of the capacitorلإيجاد كبسيطة من هذه + +21 +00:01:38,720 --> 00:01:44,820 +الكبسيطة، يجب أن نتكلم عن الاختلاف الممكن بين + +22 +00:01:44,820 --> 00:01:48,800 +الاثنين الحفرينإذا المهمة الأولى على طول و كأنه + +23 +00:01:48,800 --> 00:01:52,480 +سؤال زى هذا بكون تابع للشبطة اللى جابله الشباب لإن + +24 +00:01:52,480 --> 00:01:56,500 +الشبطة اللى جابله كان جل شغلنا انه نحسب فرق الجهد + +25 +00:01:56,500 --> 00:01:59,920 +بين نقطتين او اي جهد او اي نقطة وبالتالي بيصير ان + +26 +00:01:59,920 --> 00:02:03,660 +انا بدي اجيب الجهد ما بين نقطتين عشان احسب السعة + +27 +00:02:03,660 --> 00:02:07,660 +عشان اطبق انا بدي هذه و هذه جهد او فرق الجهد هنا + +28 +00:02:07,660 --> 00:02:13,090 +تمام عشان اجيب اتستخدم هذا القانونإن V بسوء سالب + +29 +00:02:13,090 --> 00:02:16,290 +من initial to final و ال initial عندي ال inner + +30 +00:02:16,290 --> 00:02:20,690 +shell و ال final هو ال outer shell على فاس إن هذا + +31 +00:02:20,690 --> 00:02:26,450 +هو القانون التبعي على اعتبار إن V هي delta V V هي + +32 +00:02:26,450 --> 00:02:30,050 +delta V أصلا هي فرق الجهد بين طرفي ال capacitor + +33 +00:02:30,050 --> 00:02:35,890 +وبالتالي بتكون from A to B الآن مازال أنا خطط حضور + +34 +00:02:35,890 --> 00:02:41,240 +التكامل يا شباب بالصير واضح اي اي اي بدي علىاللي + +35 +00:02:41,240 --> 00:02:45,900 +في النص between A and B تمام إذا هذي E هي ال + +36 +00:02:45,900 --> 00:02:49,380 +electric field between A and B or the electric + +37 +00:02:49,380 --> 00:02:52,220 +field between the two shells كيف بتحسبها؟ ممكن + +38 +00:02:52,220 --> 00:02:55,880 +نستخدم قانون جاوس ولا لأ؟ مش أشكال قراوية ولا لأ؟ + +39 +00:02:55,880 --> 00:02:59,300 +إذا بنستخدم قانون جاوس ال electric field between + +40 +00:02:59,300 --> 00:03:02,700 +the two shells can be found using Gauss's law كيف؟ + +41 +00:03:02,700 --> 00:03:06,200 +يعني أنت بدك نقطة في النص حُطها في Gauss's surface + +42 +00:03:06,200 --> 00:03:11,420 +مظبوط ولا لأ؟ في جوا شحنات ولا فيش شيء؟اللي هو Q + +43 +00:03:11,420 --> 00:03:15,700 +إذا بيصير E في أربع عبايا R تربيع بيساوي Q على + +44 +00:03:15,700 --> 00:03:20,440 +أبسلون نوات إذا بربع سطر بقدر أجيب E بيساوي Q و + +45 +00:03:20,440 --> 00:03:24,040 +أربع عبايا R تربيع كانت هنا جاية من ال A و أبسلون + +46 +00:03:24,040 --> 00:03:27,880 +نواتي اللي موجودة في القانون هذه هي E وبالتالي ما + +47 +00:03:27,880 --> 00:03:33,620 +زال E انعرفت حطها هنا دي الاصل لما تيجي تكامل قل + +48 +00:03:33,620 --> 00:03:39,200 +كاملطلعت في هذا الشكل ايش تكلمه DR على R تربية + +49 +00:03:39,200 --> 00:03:42,460 +minus one over R صح ولا لأ ال minus مع ال minus + +50 +00:03:42,460 --> 00:03:47,220 +بتروح بتصير هيك واحد على R و واحد على B minus واحد + +51 +00:03:47,220 --> 00:03:50,040 +على A هيك بتصير تماما هذه النتيجة احنا مش هنحفظها + +52 +00:03:50,040 --> 00:03:54,040 +لازم + +53 +00:03:54,040 --> 00:03:57,960 +هو ببطل capacitor ال capacitor لازم واحدة Q تانية + +54 +00:03:57,960 --> 00:04:00,840 +نقص ال Q واحدة خمسة تانية نقص خمسة واحدة عشرة + +55 +00:04:00,840 --> 00:04:06,120 +تانية نقص عشرة لازمو حد طولها و المنصحة شيله جعوه + +56 +00:04:06,120 --> 00:04:10,620 +في الشحنات احنا اتفقنا لا مالهاش جعوه هو انت شوفت + +57 +00:04:10,620 --> 00:04:12,860 +كيف احنا شحانتي المكافئت انا باخد من واحد ال board + +58 +00:04:12,860 --> 00:04:18,260 +ع التاني فإذا بدي اخد عشرة تاني بدي اخد عشرة طبعا + +59 +00:04:18,260 --> 00:04:24,820 +هذا بساطه اظبطها طلعت هيك طبعا الطلعة شباب بالنسبة + +60 +00:04:24,820 --> 00:04:30,600 +ل ال spherical capacitor فيه ميزة الطلعة هذا قرون + +61 +00:04:30,600 --> 00:04:36,880 +لل plate هذالو واحدة من ال place ابعتها، ايش بيصير + +62 +00:04:36,880 --> 00:04:42,280 +في D؟ بتزيد، ايش بيصير في C؟ يعني طب انا .. طب + +63 +00:04:42,280 --> 00:04:45,300 +الهادي .. الهادي صارت بعيدة كتير، وصلت رفح، لديه C + +64 +00:04:45,300 --> 00:04:50,400 +بتتوقعها صير؟ Zero، مظبوط ولا لأ؟ طب نشوف .. نرجع + +65 +00:04:50,400 --> 00:04:53,320 +إلى هادي، هادي كانت هيك و هيك، هي البرانية بدنا + +66 +00:04:53,320 --> 00:04:58,010 +نمشيها، نمشيها لما تصل رفحماذا يحصل في B؟ B جُسده + +67 +00:04:58,010 --> 00:05:01,910 +مانا نهاية و لا لأ نشوف ماذا يحصل هنا طبعا لما أضع + +68 +00:05:01,910 --> 00:05:04,970 +بي مانا نهاية بصي مانا نهاية ع مانا نهاية و لما + +69 +00:05:04,970 --> 00:05:07,670 +أخدنا في الcalculus مانا نهاية ع مانا نهاية كده + +70 +00:05:07,670 --> 00:05:12,050 +بجيب اللي مات ايش بسوي؟ اما بفاضل او بجسم على أكبر + +71 +00:05:12,050 --> 00:05:15,210 +قص جسم على أكبر قص اللي هي ال B ماذا يحصل في + +72 +00:05:15,210 --> 00:05:21,710 +البصد؟ ايه؟ و في المقام واحد نقص A على Bطب ايه على + +73 +00:05:21,710 --> 00:05:25,770 +بيه جدتش بيصير؟ اذا بترجع القانون بس اربع باي أبسل + +74 +00:05:25,770 --> 00:05:30,510 +نوت ايه؟ اذا بتقطر سفير لما يكون سفير فليش بيقول + +75 +00:05:30,510 --> 00:05:35,810 +ليه؟ بيقولي a single isolated sphere بس سفير واحدة + +76 +00:05:35,810 --> 00:05:39,530 +ممكن اعتبرها capacitor طب ال capacitor احنا بيعرف + +77 +00:05:39,530 --> 00:05:43,110 +انه two conductors مظبوط ولا لأ؟ بينهم مادة عزلة + +78 +00:05:43,110 --> 00:05:46,650 +جميعهم two conductors واحدة اللي انت شايفها + +79 +00:05:46,650 --> 00:05:49,710 +والتانية وين هي في المادة النهائية واللي مش عاد + +80 +00:05:49,710 --> 00:05:55,620 +يروح يدور عليهابيقول ا single isolated sphere can + +81 +00:05:55,620 --> 00:05:59,000 +be considered as a capacitor where the outer shell + +82 +00:05:59,000 --> 00:06:04,220 +is assumed to be of infinite radius طبعا في هذه + +83 +00:06:04,220 --> 00:06:07,580 +الحالة if we let B goes from ملا نهاية in the last + +84 +00:06:07,580 --> 00:06:11,020 +equation the capacitance of an isolated sphere of + +85 +00:06:11,020 --> 00:06:15,740 +radius A is found to be 4pi epsilon naught A لأن + +86 +00:06:15,740 --> 00:06:20,710 +سعة المكفف او الكورة تعتمد على سقطرهاأربعة باى + +87 +00:06:20,710 --> 00:06:23,790 +إبسلون نوت ماهى فاكتة اذا كل كرة ممكن اعتبرها + +88 +00:06:23,790 --> 00:06:27,970 +capacitor شباب كل كرة conductor طبعا كل كرة لحالها + +89 +00:06:27,970 --> 00:06:31,130 +ممكن اعتبرها capacitor على اعتبار انه ال conductor + +90 +00:06:31,130 --> 00:06:34,050 +التالي موجود في المالة النهائية و بصير C تبعتنا + +91 +00:06:34,050 --> 00:06:37,750 +بتساوي أربعة باى إبسلون نوت في نص قطرها اللى هو A + +92 +00:06:37,750 --> 00:06:42,350 +وهنا جيبناها هنا بينفعش لما تصير الساعة بتساوي سفر + +93 +00:06:42,350 --> 00:06:47,490 +نشوف ال cylindrical capacitor تذكرى ان السلك اللى + +94 +00:06:47,490 --> 00:06:52,030 +..مابين ال dish و ال receiver يقولون هاد ال + +95 +00:06:52,030 --> 00:06:56,950 +cylindrical capacitor تمام و هاد هو هاد الأزرق + +96 +00:06:56,950 --> 00:07:00,650 +اللي هو السيليك القصير هذا الرفيع اللي بيخش جوا ال + +97 +00:07:00,650 --> 00:07:05,070 +receiver و الشعر اللي حواليه هو الأحمر بتعتبره + +98 +00:07:05,070 --> 00:07:11,640 +تمام و هي مين أكبر طول السيليك ولا نسقطه؟طبعا طوله + +99 +00:07:11,640 --> 00:07:15,320 +خصوصا إذا واحد ساكن على الطابق الأول و في عمارة + +100 +00:07:15,320 --> 00:07:18,820 +على عشر و ردش في عشر كده ديش بيكون طول السلك؟ ممكن + +101 +00:07:18,820 --> 00:07:21,600 +ستين متر، سبعين متر، صح ولا لأ؟ و نص القطر ممكن + +102 +00:07:21,600 --> 00:07:25,240 +كذا ملي، بالتالي دائما في ال syndical capacitor + +103 +00:07:25,240 --> 00:07:29,820 +بيكون الطول أكبر كتير من نص القطر عشان أقدر أستخدم + +104 +00:07:29,820 --> 00:07:33,420 +قانون جاوس الشباب، أقول عنها infinite wire ولا لأ؟ + +105 +00:07:33,420 --> 00:07:37,550 +في infinite wire، تماميقول ان الكمبيوتر يستخدم + +106 +00:07:37,550 --> 00:07:38,650 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +107 +00:07:38,650 --> 00:07:39,130 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +108 +00:07:39,130 --> 00:07:39,990 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +109 +00:07:39,990 --> 00:07:41,230 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +110 +00:07:41,230 --> 00:07:42,370 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +111 +00:07:42,370 --> 00:07:45,270 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +112 +00:07:45,270 --> 00:07:48,570 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +113 +00:07:48,570 --> 00:07:56,990 +عن عبارة عن عبارة عن عبارة + +114 +00:07:56,990 --> 00:08:03,970 +عن عب + +115 +00:08:05,220 --> 00:08:13,040 +هو بيعمل استوارة حوالي الاسلك بش هو بيعمل استوارة + +116 +00:08:13,040 --> 00:08:14,500 +بش هو بيعمل استوارة بش هو بيعمل استوارة بش هو + +117 +00:08:14,500 --> 00:08:14,500 +بيعمل استوارة بش هو بيعمل استوارة بش هو بيعمل + +118 +00:08:14,500 --> 00:08:14,560 +استوارة بش هو بيعمل استوارة بش هو بيعمل استوارة بش + +119 +00:08:14,560 --> 00:08:14,660 +هو بيعمل استوارة بش هو بيعمل استوارة بش هو بيعمل + +120 +00:08:14,660 --> 00:08:15,360 +استوارة بش هو بيعمل استوارة بش هو بيعمل استوارة بش + +121 +00:08:15,360 --> 00:08:17,520 +هو بيعمل استوارة بش هو بيعمل استوارة بش هو بيعمل + +122 +00:08:17,520 --> 00:08:23,940 +استوارة بش هو بيعمل استوارة بش هو بيعمل استوارة بش + +123 +00:08:23,940 --> 00:08:25,760 +هو بيعمل است + +124 +00:08:30,720 --> 00:08:35,380 +أنا عامله عكس هو طبعا العكس بتفرجش كتير و we will + +125 +00:08:35,380 --> 00:08:38,480 +assume that طبعا ال assumption هذا هو الحقيقة و we + +126 +00:08:38,480 --> 00:08:40,880 +will assume that the length of the capacitor is + +127 +00:08:40,880 --> 00:08:44,540 +much greater than the radius P such that we can + +128 +00:08:44,540 --> 00:08:47,280 +neglect the freeing of the electric field at the + +129 +00:08:47,280 --> 00:08:51,000 +ends عدم انتباه من ال electric field عند الأطراف + +130 +00:08:51,000 --> 00:08:53,840 +بدرجة غير أنا مش عند الأطراف في كل الأحوال يعني + +131 +00:08:53,840 --> 00:08:59,660 +بمعنى أخر في النهاية بيستطيع اطبق قانون جاوسالجزء + +132 +00:08:59,660 --> 00:09:02,860 +الكهربائي في المنطقة بين الانتجارات التوكوينية + +133 +00:09:02,860 --> 00:09:05,080 +يمكن ان يتم تخيله باستخدام قوة جزء من الانتجارات + +134 +00:09:05,080 --> 00:09:09,780 +انفليت واير وهذه الجواب انا شاحته وشحته طبعا بس + +135 +00:09:09,780 --> 00:09:12,540 +اذكركم كيف جبناها لانه جبناها في احد الأمثلة كان + +136 +00:09:12,540 --> 00:09:15,260 +في عندي سلك طويل وقولت بدي أشيط بيت المجار هنا + +137 +00:09:15,260 --> 00:09:21,740 +أخدت السلينذر هيكصح؟ كنا المجال هيك و في عندي تلت + +138 +00:09:21,740 --> 00:09:27,580 +أسطح و هاي سطح سافر و ده السطح هذا فصار E في اتنين + +139 +00:09:27,580 --> 00:09:32,640 +by R في L على اعتبار هذه L فعلى Q in و رترية Q in + +140 +00:09:32,640 --> 00:09:37,210 +بالساولين ده في Lبالضبط لأ إذا E بيساوي راحة L مع + +141 +00:09:37,210 --> 00:09:40,850 +L بيساوي Lambda طبعا فينا ال Epsilon Note على 2 Pi + +142 +00:09:40,850 --> 00:09:45,810 +Epsilon Note في R فهذا اللي انا شحته تمام فLambda + +143 +00:09:45,810 --> 00:09:50,390 +هذه ايش بيساوي Q على L بس ايه اللي عملنا Lambda + +144 +00:09:50,390 --> 00:09:52,810 +بيساوي Q على L إذا المقلنة هو هذه النتيجة احنا + +145 +00:09:52,810 --> 00:09:57,830 +شحتينها من مثال سابق و جيبناها بساطة الواحد بتنجب + +146 +00:09:57,830 --> 00:10:01,030 +من قانون Gauss بعد ما طلعت E شباب بدأوا جديد أجيب + +147 +00:10:01,030 --> 00:10:04,590 +فرق الجهودThe potential difference is then found + +148 +00:10:04,590 --> 00:10:08,670 +to be نفس القانون اللي بنستخدمه E.DL هي الـDL من + +149 +00:10:08,670 --> 00:10:13,710 +الـDR و بعدين تتحول لDR عشان ال E فيها R unit + +150 +00:10:13,710 --> 00:10:18,510 +vector عود عن E طلعت بهذا الشكل لأن E في R في + +151 +00:10:18,510 --> 00:10:23,830 +المقام و في ال bus في DR ايش تكمل DX على X DX على + +152 +00:10:23,830 --> 00:10:32,880 +X لأن ال X طلعت هيك لأن ال R من A لB طلعهاهذه لإن + +153 +00:10:32,880 --> 00:10:37,380 +ال B على A طلعنا الجواب مازال V عرفت شباب بقدر + +154 +00:10:37,380 --> 00:10:42,240 +أجيب C شوفوا انتوا دايما V بتجي بجالية Q عشان ال Q + +155 +00:10:42,240 --> 00:10:49,190 +هتطير وماضلش ال C مالهاش أي نتيجةC بيستوى Q على V + +156 +00:10:49,190 --> 00:10:52,570 +وطلعتها بهذا الشكل طبعا واضح برضه إذا كان في ال + +157 +00:10:52,570 --> 00:10:55,970 +capacitor ولا هنا C لا تعتمد لا على ال potential + +158 +00:10:55,970 --> 00:11:00,470 +ولا تعتمد على الشحنات بتعتمد فقط على التركيبة + +159 +00:11:00,470 --> 00:11:03,510 +تبعات ال capacitor هنا التركيبة تبعات ال capacitor + +160 +00:11:03,510 --> 00:11:08,250 +أنصاف الأقطار والطول و ال epsilon note بيمثل الوقت + +161 +00:11:08,250 --> 00:11:13,380 +العازلفي الكورة اعتمد على الـ A و الـ B بالإضافة + +162 +00:11:13,380 --> 00:11:16,320 +إلى الـ Epsilon node فدائما ال capacitor سعته + +163 +00:11:16,320 --> 00:11:20,040 +بيعتمد فقط على التركيب الهندسي للكباسيتر مالوش + +164 +00:11:20,040 --> 00:11:25,000 +دعوة إلا بهذا العاد تمام طبعا كلكم بتعرفوا بديش + +165 +00:11:25,000 --> 00:11:29,700 +لإن المالة نهاية مالة + +166 +00:11:29,700 --> 00:11:34,120 +نهاية تمام طبعا لو تطلع لو B ال outer shell صار + +167 +00:11:34,120 --> 00:11:36,020 +مالة نهاية زي ما عملنا في الاسفير بتظبطش معاه + +168 +00:11:36,020 --> 00:11:40,660 +بتصير السعة بترجع Zeroتبصر في المقام في منا نهاية، + +169 +00:11:40,660 --> 00:11:44,740 +مظبوط؟ اذا معناته ال single بينفعش إلى لا للسفير، + +170 +00:11:44,740 --> 00:11:48,200 +ال cylinder بينفعش ولا ال parallel plate بينفع، + +171 +00:11:48,200 --> 00:11:52,000 +تمام، انا حاسبت ال c على تلت capacity الشباب، ال + +172 +00:11:52,000 --> 00:11:55,560 +parallel plates والسفير كانوا cylindrical، التلاتة + +173 +00:11:55,560 --> 00:11:59,790 +مطلوب مني افهم كيف حسبهالأول مطلوب ان يحفظ نتيجته + +174 +00:11:59,790 --> 00:12:03,850 +اللى هى C بيساوي بصر النوت A على D هذا مطلوب انه + +175 +00:12:03,850 --> 00:12:07,530 +يحفظه وزى ما حكينا انا مغوظ بيقول انه يحفظه على + +176 +00:12:07,530 --> 00:12:13,670 +أساس انه هو الأشهر ورمزه هو اللى أخدته كرمز شائع + +177 +00:12:13,670 --> 00:12:15,030 +وبالتالي هو الأشهر + +178 +00:12:33,340 --> 00:12:37,940 +Combination of Capacitorsاخدته في المدارس اخدته + +179 +00:12:37,940 --> 00:12:41,840 +كيف توصل مقاومات على التوالي و على التوازي واخدته + +180 +00:12:41,840 --> 00:12:45,040 +كيف توصل مكثفات على التوالي و التوازي احنا نقال في + +181 +00:12:45,040 --> 00:12:48,460 +المكثفات المكثفات متواصلة بطلقتين زي ما هي زي + +182 +00:12:48,460 --> 00:12:54,300 +المقاومات توالي و توازيإذن هناك اتصالات اتصالات + +183 +00:12:54,300 --> 00:12:57,540 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +184 +00:12:57,540 --> 00:12:57,940 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +185 +00:12:57,940 --> 00:13:01,280 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +186 +00:13:01,280 --> 00:13:07,160 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +187 +00:13:07,160 --> 00:13:07,680 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +188 +00:13:07,680 --> 00:13:09,000 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات + +189 +00:13:09,000 --> 00:13:18,340 +اتصالات اتصالات اتصالات اتصالات اتصالات اتصال + +190 +00:13:19,200 --> 00:13:22,020 +هيتوا كمثلة كيف بيوصلوا مع التوازي؟ جارت كل اتنين + +191 +00:13:22,020 --> 00:13:27,420 +مع بعض هيوسي واحدة؟ هدوة توصلوا سؤال الآن الفجانية + +192 +00:13:27,420 --> 00:13:30,220 +والتحتانية هدول عبارة عن two conductors ولا مش two + +193 +00:13:30,220 --> 00:13:33,700 +conductors؟ وصلتوا ببسيك صاروا conductor واحد ولا + +194 +00:13:33,700 --> 00:13:38,190 +لأ؟ جهدهم تساوي ولا لم يكنوا تساوي؟ تساوي الجهودطب + +195 +00:13:38,190 --> 00:13:42,950 +التاني التاني وصلت نفس القضية إذا صار الجهد اللي + +196 +00:13:42,950 --> 00:13:46,330 +فوق بيسوي الجهد اللي تحت غصب عنه صحيح ولا لأ لأن + +197 +00:13:46,330 --> 00:13:49,210 +أنا وصلتهم مع بعض وعندي قاعدة and two conductors + +198 +00:13:49,210 --> 00:13:51,930 +are connected by a wire they must have the same + +199 +00:13:51,930 --> 00:13:56,030 +potential والتاني they must have the same + +200 +00:13:56,030 --> 00:13:58,830 +potential إذا ال difference اللي فوق بيسوي ال + +201 +00:13:58,830 --> 00:14:02,250 +difference اللي تحت بمعنى أخر V1 بيسوي V2 هدول + +202 +00:14:02,250 --> 00:14:05,920 +توصلوا على التوازن اللي بتواصلهم مع بطاريةهك تتصير + +203 +00:14:05,920 --> 00:14:09,460 +الان طبعا احنا قبل ما نوصل البطارية شباب اغلب ال + +204 +00:14:09,460 --> 00:14:12,160 +capacitors بيكونش فيه عنده احمر و ازرق بيكونش + +205 +00:14:12,160 --> 00:14:14,360 +معروف ايش هو الموجب و ايش هو السالب انا بوصلها + +206 +00:14:14,360 --> 00:14:17,320 +بعدين بعد ما وصلنا بالبطارية بعرف القطب الموجب و + +207 +00:14:17,320 --> 00:14:21,480 +القطب السالب زي المقاومة تمام كيف تصير العملية زي + +208 +00:14:21,480 --> 00:14:26,020 +ما احنا عاملنا المراه دي بتصير بيدا الشكل هيك + +209 +00:14:26,020 --> 00:14:31,560 +بيشحله زي + +210 +00:14:31,560 --> 00:14:39,210 +ما احنا عاملنا المراه ديهذا الألكترون اللي بتحرك، + +211 +00:14:39,210 --> 00:14:42,950 +هذا الألكترون، هو الحقيقة أيش اللي بتحرك؟ + +212 +00:14:42,950 --> 00:14:46,690 +الألكترون ولا البروترون؟ الفيلم يعني عشان كده عملت + +213 +00:14:46,690 --> 00:14:50,450 +حاجة الواقعية، يعني بحاول أعمل animation للواقع، + +214 +00:14:50,450 --> 00:14:58,240 +كيف؟ بهيئة، انت فكرت طيار هذا؟مش طيار هذا الطيار + +215 +00:14:58,240 --> 00:15:02,340 +اصطلاحا حركة الشحنات الموجة بقى انا قاعد بحرك ايش + +216 +00:15:02,340 --> 00:15:06,640 +بحرك electrons حد الواقع اللي بيصير هيك عملت الشحن + +217 +00:15:06,640 --> 00:15:10,220 +الواقعية انه الاترون بيجي من ال place بيقعد منه + +218 +00:15:10,220 --> 00:15:13,780 +التانية والتفاقنة البطارية اللي بتنططه من المكان + +219 +00:15:13,780 --> 00:15:17,540 +الواطي الى المكان العالى تجهد و هيك بيصير زي ما + +220 +00:15:17,540 --> 00:15:20,620 +شحنتها نقول in such a combination the right place + +221 +00:15:20,620 --> 00:15:24,990 +الحمر نوقفه لحظة بدوني بتبقى بتتركزهبعد ما هيك + +222 +00:15:24,990 --> 00:15:28,210 +بنصي واحد موجة بواحد سالب in such a combination + +223 +00:15:28,210 --> 00:15:32,070 +the right blades اللي هم الحمر are connected بقى + +224 +00:15:32,070 --> 00:15:35,650 +conducting wire to form an equipotential surface + +225 +00:15:35,650 --> 00:15:39,170 +يعني they have the same potential قطعا the other + +226 +00:15:39,170 --> 00:15:43,430 +two blades ال left اللي هم الزوج form another + +227 +00:15:43,430 --> 00:15:46,590 +equipotential surface والتانيين اللي هم نفس الجهود + +228 +00:15:46,590 --> 00:15:51,330 +therefore the potential difference across the two + +229 +00:15:51,330 --> 00:15:55,580 +capacitors are the sameمظبوط ولا لأ and equal to + +230 +00:15:55,580 --> 00:15:59,480 +the potential difference across an equivalent + +231 +00:15:59,480 --> 00:16:02,480 +capacitor replacing the two capacitors دي عالم + +232 +00:16:02,480 --> 00:16:05,600 +مجتمع مكتوب هذا الكلام V equivalent EQ هذي + +233 +00:16:05,600 --> 00:16:08,120 +equivalent مكافئ يعني انا ال two capacitors بدي + +234 +00:16:08,120 --> 00:16:11,480 +اجيبهم و احط واحد يكافئهم يحل محلهم حد اللي بديه + +235 +00:16:11,480 --> 00:16:14,360 +يحل محلهم بسمي equivalent capacitor equivalent + +236 +00:16:14,360 --> 00:16:20,580 +capacitor يعني لو انا عندي انا هي capacitor و + +237 +00:16:20,580 --> 00:16:24,930 +في capacitor تاني هيهمبدي اوصلهم وبدي اوصلهم وبدي + +238 +00:16:24,930 --> 00:16:27,890 +الزيكهم بعد التلزيك تمام هدوى ال two capacitors + +239 +00:16:27,890 --> 00:16:32,110 +وصلتهم بقدر اقول جهود هدى بيسوي جهود هدى اه وجهود + +240 +00:16:32,110 --> 00:16:35,770 +هدى بيسوي جهود هدى بيصير الجهود هدى هو نفسه هدى طب + +241 +00:16:35,770 --> 00:16:39,890 +وجهوده كله نفسه لأنه جهود هدى الكبير هو نفسه بيسوي + +242 +00:16:39,890 --> 00:16:42,710 +جهود هدى الكبير صح ولا لأ اذا بقول V equivalent + +243 +00:16:43,810 --> 00:16:48,630 +بتساوى V1 وبتساوى V2 طيب لو شباب هذه كان عليها + +244 +00:16:48,630 --> 00:16:52,830 +عشرة Q و هذه خمسة Q جمعتهم مع بعض كده ال total + +245 +00:16:52,830 --> 00:16:58,610 +charge؟ خمس عشر صح؟ اذا بقدر اقول Q equivalent هي + +246 +00:16:58,610 --> 00:17:04,730 +مجموع ال two Q صح؟ اه هذي كان فيها عشرة micro + +247 +00:17:04,730 --> 00:17:08,170 +column و هذه عليها خمسة micro column حطتهم جنب بعض + +248 +00:17:08,170 --> 00:17:15,120 +كده ال total؟ خمسة عاد تمامطبعا Vq هو قيمة + +249 +00:17:15,120 --> 00:17:18,800 +الاختلاف المميز عن مقارنة الهواء الكبسيطر الهواء + +250 +00:17:18,800 --> 00:17:23,240 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +251 +00:17:23,240 --> 00:17:24,600 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +252 +00:17:24,600 --> 00:17:25,640 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +253 +00:17:25,640 --> 00:17:26,340 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +254 +00:17:26,340 --> 00:17:27,960 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +255 +00:17:27,960 --> 00:17:35,600 +الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء + +256 +00:17:35,600 --> 00:17:41,420 +الكبسيطصح؟ طيب ال Q equivalent هذه بيساوي C + +257 +00:17:41,420 --> 00:17:44,380 +equivalent في V equivalent ولا لأ؟ وبدل ال Q1 + +258 +00:17:44,380 --> 00:17:49,440 +بيضحط C1 في V1 ولا لأ؟ وبدل ال Q2 بيضحط C2 في V2؟ + +259 +00:17:49,440 --> 00:17:55,280 +حطط طيب هذه المعادلة إيش بتعمل ليه؟ بتضيع ليه ال + +260 +00:17:55,280 --> 00:18:01,860 +V's؟ بتضيعي ال V's؟ هاي وصلت على التوازي C + +261 +00:18:01,860 --> 00:18:06,560 +equivalent بيساوي الجميعسيكوبرنات تساوي الجميع سي + +262 +00:18:06,560 --> 00:18:10,240 +لو عندك اتنين capacitors واحد تلاتة وواحد خمسة + +263 +00:18:10,240 --> 00:18:14,400 +واصل طول بالتوازي ال total دي صار تمانية يعني لما + +264 +00:18:14,400 --> 00:18:18,100 +توصلوا على التوازي الساعة بزيد ولا بتجيل بزيد براو + +265 +00:18:18,100 --> 00:18:25,540 +هاتوا capacitors بتواصلوا مع التوازي هيك حملتهمو + +266 +00:18:25,540 --> 00:18:29,900 +هو بحكيلي الساحة تتغيرش ايه زي اللي كان اللي لعبت + +267 +00:18:29,900 --> 00:18:35,960 +في التركيبة الهندسية هناش اتغيرت المساحة كبرت + +268 +00:18:35,960 --> 00:18:41,060 +المساحة هنا ولا لا دي اتغيرت لما زيدي المساحة اش + +269 +00:18:41,060 --> 00:18:44,740 +بصير في الصين اذا انا بتوصيل على التوازي بزود + +270 +00:18:44,740 --> 00:18:48,300 +الساحة لان انا بفعل و كأني بزود المساحة شباببزود + +271 +00:18:48,300 --> 00:18:51,360 +المساحة وبالتالي منطقي ان الساعة زيد وهي زادت + +272 +00:18:51,360 --> 00:18:56,240 +الساعة اني صرت أجمع على C1 زي C2 لان المساحة زادت + +273 +00:18:56,240 --> 00:19:00,400 +بعنانية التوصيل على التوازي فيها استفسار شباب؟ إذا + +274 +00:19:00,400 --> 00:19:03,000 +بتواصلي على التوازي إيش بده أفهم؟ كيف بده أحكم على + +275 +00:19:03,000 --> 00:19:06,660 +التواري والتوازي شباب؟ مش من الرسمة مش من الرسمة + +276 +00:19:06,660 --> 00:19:12,280 +من أعمل شرط التوازي عشان أحكم توازي لازم الجهود + +277 +00:19:12,280 --> 00:19:17,960 +تتساوىلازم الجهود تتساوى إذا تساوى الجهود بقول فيه + +278 +00:19:17,960 --> 00:19:21,480 +توازي طبعا في خطأ شريع بقولك إذا الشحنات ماتساوتش + +279 +00:19:21,480 --> 00:19:26,380 +بيكون توازي هذا خطأ إذا الشحنات ماتساوتش بينفي + +280 +00:19:26,380 --> 00:19:30,560 +فكرة التوالي لكن لا يثبت فكرة التوازي التوازي عشان + +281 +00:19:30,560 --> 00:19:35,260 +أثبته لازم الشرط تبع التوازي هذا هيتحقق هذه لازم + +282 +00:19:35,260 --> 00:19:41,640 +تتحقق تمام؟Capacitors are said to be connected in + +283 +00:19:41,640 --> 00:19:45,400 +parallel if the potential across each one is the + +284 +00:19:45,400 --> 00:19:48,040 +same and equal to the potential across an + +285 +00:19:48,040 --> 00:19:51,440 +equivalent capacitor.إذن هذا هو شرط التوازي.إن ال + +286 +00:19:51,440 --> 00:19:56,020 +V يتساوى ويساوى ال V equivalent.هذا هو شرط التوازي + +287 +00:19:56,020 --> 00:19:59,340 +ال series combination شوفوا كيف نعمل تواصيت على + +288 +00:19:59,340 --> 00:20:02,920 +التواري هاي + +289 +00:20:02,920 --> 00:20:08,590 +two capacitors تمام واحد هناك واحد هناكهي C1 وهي + +290 +00:20:08,590 --> 00:20:14,530 +C2 بيقوللي وصل هدول تاني مع بعض وهده وصله هيك وحط + +291 +00:20:14,530 --> 00:20:20,070 +بطاريتك إيش بده يصير معاك؟ هزيد ال D مظبوط لكن + +292 +00:20:20,070 --> 00:20:23,410 +يشوف إيش بده يصير في عملية الشحن شباب يلا نشحن، + +293 +00:20:23,410 --> 00:20:27,630 +هاي الإلكترون، هذا هو الإلكترون، الآن شبكة + +294 +00:20:27,630 --> 00:20:29,450 +البطارية إيش بده يصير فيه إلكترون؟ بتتحرك + +295 +00:20:34,340 --> 00:20:38,440 +راح من الحمرا اللى علي اليمين وراح الزرق اللى علي + +296 +00:20:38,440 --> 00:20:44,740 +الشمال صح الاصل انه مازال هاد الكلام صحيح شوف انت + +297 +00:20:44,740 --> 00:20:51,240 +هادي وهادي لا راح منهم إلكترون ولا إجههم إلكترون + +298 +00:20:51,240 --> 00:20:55,280 +صح ولا لأ العملية هاد الإلكترون بيجيها البطارية + +299 +00:20:55,280 --> 00:20:59,340 +نزلت من هنا إجه هنا بقدر ارط منها لها في وسط عازل + +300 +00:20:59,340 --> 00:21:04,470 +بقدر ارط منها لها في وسط عازلهك بيصير طب إيش بده + +301 +00:21:04,470 --> 00:21:06,290 +يصير؟ بقول لأ احكيه؟ + +302 +00:21:10,570 --> 00:21:14,390 +انت بتفكر ان هذه وسط عزل؟ هذه بطارية حبيبي، جوا مش + +303 +00:21:14,390 --> 00:21:17,350 +فاضية، هذه فيها بلاوي جوا، كل التفاعلات + +304 +00:21:17,350 --> 00:21:20,850 +الكيميائية، بس الرمز تبعها هو إيه؟ سبابي، يعني + +305 +00:21:20,850 --> 00:21:25,550 +انها مايبنياش يكون فيه .. يظن إن هذا مكان فاضي، + +306 +00:21:25,550 --> 00:21:31,330 +الرمز بيوحد، بنقطش قاعد، هو هذا أجي هنا لزج بعض + +307 +00:21:31,330 --> 00:21:34,840 +منه، يده بيجي هنا لزج، اللي بين الكل بلزج، نقطشهذا + +308 +00:21:34,840 --> 00:21:38,980 +من يخدمه أول و جديد غيره مش هو .. غيره فهمت عليها؟ + +309 +00:21:38,980 --> 00:21:43,020 +لكن هنا مش فرق دي بالكم .. ها .. هذه في شغل بتفططه + +310 +00:21:43,020 --> 00:21:48,000 +.. جادة .. تمام .. هذا موجة مسلسل .. في .. في + +311 +00:21:48,000 --> 00:21:51,920 +مشكلة هيك؟ طبعا في الآخر بالزي الدي .. بس خليني + +312 +00:21:51,920 --> 00:21:55,500 +أقول .. هيت موجة مسلسل مافيش خلاف .. تمام؟ ليش؟ + +313 +00:21:55,500 --> 00:21:58,700 +لإن هو ذا اكره منه إلكترون صار موجة .. و من أزرقها + +314 +00:21:58,700 --> 00:22:01,000 +بقت إيه جاء إلكترون صار سلسل .. مافيش مشكلة .. طيب + +315 +00:22:01,000 --> 00:22:05,350 +قولي جوه دول إيش فشحنهم؟أيش اللي شعلهم؟ لأن هذا Q + +316 +00:22:05,350 --> 00:22:09,030 +المفروض موجب سالب موجب سالب ولا لا؟ بيقوللي ايش + +317 +00:22:09,030 --> 00:22:12,370 +اللي صار معاك؟ thus the right blade of C1 the + +318 +00:22:12,370 --> 00:22:16,070 +right blade of C1 acquires a positive charge امين + +319 +00:22:16,070 --> 00:22:19,710 +لأنه مرتبط بالشحنة بالخطب الموجب للبطارية في خلاف + +320 +00:22:19,710 --> 00:22:27,040 +تمام why the left blade of C2؟اكويرز unequal + +321 +00:22:27,040 --> 00:22:31,240 +negative charge اكويرز يعني يكتسب برضه مافيش عليها + +322 +00:22:31,240 --> 00:22:35,420 +خلاف طب هجيجي تطلع على هذه المنطقة ال بين المجتين + +323 +00:22:35,420 --> 00:22:39,460 +اذا بيقوللي and the other to place enclosed by the + +324 +00:22:39,460 --> 00:22:42,800 +dashed line هذي اللي انا محوطه بال dashed line + +325 +00:22:42,800 --> 00:22:48,700 +المنجب form an isolated conductorالإلكترونات تتجه + +326 +00:22:48,700 --> 00:22:52,020 +إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه + +327 +00:22:52,020 --> 00:22:52,520 +إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه + +328 +00:22:52,520 --> 00:22:53,060 +إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه + +329 +00:22:53,060 --> 00:22:55,940 +إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه + +330 +00:22:55,940 --> 00:22:59,320 +إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه + +331 +00:22:59,320 --> 00:22:59,560 +إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه + +332 +00:22:59,560 --> 00:23:02,820 +إلى الجانب اليسرى و + +333 +00:23:02,820 --> 00:23:07,200 +تتجه إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و + +334 +00:23:07,200 --> 00:23:14,920 +تتجه إلى الجانب اليسرى و + +335 +00:23:14,920 --> 00:23:20,540 +تتجه إلى الجانب اليصح ولا لأ؟ إذن هيك عملية الشحن + +336 +00:23:20,540 --> 00:23:25,320 +بتصير إذا أنا نفسي عالعال أكون تواني Q1 بتسوي Q2 + +337 +00:23:25,320 --> 00:23:29,860 +مافيش مجاري Q1 و Q1 بتسويش Q2 حتى لو C1 و C2 + +338 +00:23:29,860 --> 00:23:33,820 +بيسويش بقض مظلوط ولا لأ؟ لأن هيك طبيعة الشحن + +339 +00:23:33,820 --> 00:23:34,980 +فبيقول لي هنا + +340 +00:23:37,770 --> 00:23:41,890 +هذا يعني أن البطارية تدفع حرارة على الهواتف + +341 +00:23:41,890 --> 00:23:42,270 +المحطمة + +342 +00:24:00,900 --> 00:24:04,300 +طيب الأن it is clear here that the charges on each + +343 +00:24:04,300 --> 00:24:07,800 +capacitor must be the same and equal to the charge + +344 +00:24:07,800 --> 00:24:11,680 +on an equivalent capacitor هجيتها دي المجة طبعا + +345 +00:24:11,680 --> 00:24:16,900 +مسكوها و رموها نقص أي شحنة؟ لأ دي ديش ال total + +346 +00:24:16,900 --> 00:24:24,080 +charge عليها؟ ال total؟ zero فهي نقص زائد صح؟ but + +347 +00:24:24,080 --> 00:24:25,980 +او ثلاثة اش بتقول انك كبسيتر واحد + +348 +00:24:29,790 --> 00:24:33,010 +وهي اللي بليه اتبعتوا صح ولا لأ؟ في الأول لو هذه + +349 +00:24:33,010 --> 00:24:38,590 +كانت D1 وهذه D2 اللي بيكون اللي بينهم المسافة D1 + +350 +00:24:38,590 --> 00:24:43,870 +زي D2 ولا لأ بتزيد المسافة وما زادت المسافة قلت + +351 +00:24:43,870 --> 00:24:47,590 +السعة لما اوصل على التواري السعة بتجل لأنه انا هنا + +352 +00:24:47,590 --> 00:24:52,050 +في هذه الحالة بزيد D عشان انتوا بس يتجرب عليكم هذه + +353 +00:24:52,050 --> 00:24:55,650 +هدولتوا كبسكت وزلتوا وانا حاططهم هنا بيدلزجهم بعد + +354 +00:24:55,650 --> 00:25:00,450 +تلزج هيكهيتوصلوا على التوالي ماعنديش سيليكا هوصل + +355 +00:25:00,450 --> 00:25:05,250 +لذاكته ماببعد بنفع توصليه اللي ماهو لذاكته ماببعد + +356 +00:25:05,250 --> 00:25:10,890 +فارج ايه هذه دي واحد و هذه دي اتنين هذه مسكتها و + +357 +00:25:10,890 --> 00:25:14,370 +رميتها والله ماخص علي اي اشي لافيه شحنات خصت + +358 +00:25:14,370 --> 00:25:18,290 +ولافيه اشي خص طبعا اني كبس تار عارف هذه اللي + +359 +00:25:18,290 --> 00:25:21,270 +بسميها equivalent capacitor طب جديش المسافة صارت + +360 +00:25:21,270 --> 00:25:24,670 +دي واحد زاد دي اتنين زادت دي ولا مازادتش زادت اذا + +361 +00:25:24,670 --> 00:25:30,040 +الساعة بتجلد هذا اللي احنا بنحكي جاعدينالكيوة + +362 +00:25:30,040 --> 00:25:33,740 +كوفرانت بيساوي كيو واحد بيساوي كيو اتنين طيب راسم + +363 +00:25:33,740 --> 00:25:39,400 +راسم انا ولا مارعرف لأ برضه بنرجع جديش فرق الجهود + +364 +00:25:39,400 --> 00:25:45,280 +من هال لهال حد اللي كوفرانت كبست مظبوط هل بيساوي + +365 +00:25:45,280 --> 00:25:48,440 +فرق الجهود من هال لهال زاد من هال لهال زاد من هال + +366 +00:25:48,440 --> 00:25:54,340 +لهالطب من هاللهال كده؟ ليش؟ لأنه كنت بكثر، إذا فرق + +367 +00:25:54,340 --> 00:25:57,820 +جهود من هاللهال هو فرق جهود من هاللهال زي فرق جهود + +368 +00:25:57,820 --> 00:26:00,800 +من هاللهال، هدي V واحد و هدي V اتنين، إذا مجموعة + +369 +00:26:00,800 --> 00:26:04,740 +two V's، تمام؟ لأنه من هاللهال .. ليش هنا في الشفق + +370 +00:26:04,740 --> 00:26:08,400 +جوه جباب؟ لأنه كنت بكتر واحد و هداك و potential + +371 +00:26:08,400 --> 00:26:13,590 +surface و كنا عارفينه، تمام؟فالقانون VAB V + +372 +00:26:13,590 --> 00:26:17,610 +equivalent V واحد زاد V اتنين قال لي ارجع للقانون + +373 +00:26:17,610 --> 00:26:23,530 +هذا ارجع للقانون هذا بيقول لي V بيساوي Q على C صح؟ + +374 +00:26:23,530 --> 00:26:27,230 +Q على C قال لي اذا بدل V equivalent حط Q + +375 +00:26:27,230 --> 00:26:30,830 +equivalent على C equivalent وبدل V واحد حط Q واحد + +376 +00:26:30,830 --> 00:26:33,750 +على C واحد وبدل V اتنين وحط Q اتنين على C اتنين + +377 +00:26:33,750 --> 00:26:42,480 +هذا بضيعني البصد مصبوط؟ هاي القانون تبع التواليهي + +378 +00:26:42,480 --> 00:26:49,660 +القانون تبع التوالي عكس المقارنة المعاكسة + +379 +00:26:49,660 --> 00:26:53,060 +دي رباكم مش من المبدأ المعاكسة من القانون هذا + +380 +00:26:53,060 --> 00:26:58,160 +القانون يلو قانون يلو يبنعب جريبه بيقول R بتساوي + +381 +00:26:58,160 --> 00:27:07,120 +مش I على V بتساوي V على I ال V فوقه هذي I وQ اخويا + +382 +00:27:07,120 --> 00:27:14,810 +بنا اولادي لأن ال I شوةويتطيّر الشحنات بالتحركات + +383 +00:27:14,810 --> 00:27:16,570 +اظبط ولا لا فهم اخوة + +384 +00:27:19,130 --> 00:27:23,490 +الكباسيوتر يستخدمون للتواصل في سلسلة إذا كانت + +385 +00:27:23,490 --> 00:27:27,450 +تسيطرة على كل واحدة متساومة ومتساومة ومتساومة + +386 +00:27:27,450 --> 00:27:31,770 +ومتساومة ومتساومة ومتساومة ومتساومة ومتساومة + +387 +00:27:31,770 --> 00:27:40,270 +ومتساومة ومتساومة + +388 +00:27:40,270 --> 00:27:42,950 +ومتساومة + +389 +00:27:45,090 --> 00:27:48,070 +فاهمين يا شباب؟ عشان اعرف فيه توالي، بدي الشرط + +390 +00:27:48,070 --> 00:27:52,570 +تتثوث، ما تثوثش، مافيش توالي، بقولش فيه توازي، لأ، + +391 +00:27:52,570 --> 00:28:00,170 +بدي اعرف شرط التوازي، هنشوف هذا المثال، بقيلها + +392 +00:28:00,170 --> 00:28:04,850 +حلوة لان يعني، بتكون بتحل طريقة تانية للحل، في + +393 +00:28:04,850 --> 00:28:07,250 +مبدأ conservation of charge بيجيبها، زي قواعد + +394 +00:28:07,250 --> 00:28:11,410 +كيرشوف ذاكرها، بتحل هذه الشغلات5 equivalent + +395 +00:28:11,410 --> 00:28:14,430 +capacitance for the combination shown all + +396 +00:28:14,430 --> 00:28:18,050 +capacitors are in micro farads هاي الرسمة بيقول + +397 +00:28:18,050 --> 00:28:20,330 +اجيب لل equivalent capacitors كم واحدة دلوقت اتنين + +398 +00:28:20,330 --> 00:28:24,410 +تلاتة اربع خمسة ستة capacitors بدوا V equivalent + +399 +00:28:24,410 --> 00:28:28,350 +بين ايه من هنا لهنا طبعا هذه واحد micro farads all + +400 +00:28:28,350 --> 00:28:31,130 +capacitors are in micro farads هذه تلاتة micro + +401 +00:28:31,130 --> 00:28:33,990 +farads هذه اربع micro farads هذه ستة وهذه اتنين + +402 +00:28:33,990 --> 00:28:38,030 +وهذه تمانية وكلهم micro farads كيف بيدحلهم؟بقولي + +403 +00:28:38,030 --> 00:28:40,990 +واحدة واحدة اشتغل انت في الآخر بدك تضلك هذه الرسمة + +404 +00:28:40,990 --> 00:28:44,790 +تضلك اتزغر فيها لما في الآخر كم كبسطر يصفع عندك؟ + +405 +00:28:44,790 --> 00:28:51,750 +واحد عجيبك ده اقول واحد واربعة توالي؟ لأ واحد و + +406 +00:28:51,750 --> 00:28:58,430 +تلاتة مالهم؟ تمام هل اربعة و تمانية توازي؟ لأ برضه + +407 +00:28:58,430 --> 00:29:04,820 +لأ بره اذا هذه الرسمة سهلة بقولي هذه كيف؟طوارئ او + +408 +00:29:04,820 --> 00:29:10,480 +توازي؟ بقول parallel صح حلو طب و هذه ايه؟ برضه + +409 +00:29:10,480 --> 00:29:14,060 +parallel طب ال parallel بجمع على مجمع ايش؟ اذا ال + +410 +00:29:14,060 --> 00:29:15,800 +parallel اللي بدي اجيب التانية انها دي و احط محلهم + +411 +00:29:15,800 --> 00:29:18,840 +جدي ايش؟ اربعة و التحتانية اللي اجيبها و احط محلهم + +412 +00:29:18,840 --> 00:29:22,500 +ايش؟ اذا انجلي هيك صارت هذه بدل هذه و هذه بدل هذه + +413 +00:29:22,500 --> 00:29:26,920 +صح ولا لأ؟ بنحل على الرسمة نكتب و نغلي بحالنا + +414 +00:29:26,920 --> 00:29:34,680 +تمام؟طيب هدول كيف؟ مش واحد يخلط يقولي هدول فوق بقى + +415 +00:29:34,680 --> 00:29:40,080 +التوازي هدول توازي؟ متساويش الجهود أما هدول تواري + +416 +00:29:40,080 --> 00:29:44,740 +قطعا طب و هدول؟ برضه تواري إذا هدول series ال + +417 +00:29:44,740 --> 00:29:49,840 +series واحد على واحد ربع ربع نص إذا في اتنين اتنين + +418 +00:29:49,840 --> 00:29:56,260 +بتصير و تحت تمن و تمن ربع اقلب اربعة فبتصير هفوق + +419 +00:29:56,260 --> 00:30:04,570 +اتنين وهذه هيكتمام؟ جديش هدول؟ توازي يعني أول خلص + +420 +00:30:04,570 --> 00:30:11,570 +السؤال ستة تمام؟ سهل العملية أحكي أت التوالي و + +421 +00:30:11,570 --> 00:30:16,330 +التوازي أحكي أت التوالي أربع على أربع واحد على + +422 +00:30:16,330 --> 00:30:19,250 +أربع زائد واحد على أربع نص + +423 +00:30:23,140 --> 00:30:28,960 +هو اجلب عرض اجلب الرصاص او اتنين والربع هو اجلب + +424 +00:30:28,960 --> 00:30:36,560 +الربع او اتنين انا كنت + +425 +00:30:36,560 --> 00:30:39,480 +حالي شغل معينة مش حالي راح اعملها هناك في مشكلة + +426 +00:30:39,480 --> 00:30:40,560 +هنا شباب احكي + +427 +00:30:46,850 --> 00:30:52,110 +طبعا، هو لما كنت .. اه مواعيد، يعني هذا جمع كثره + +428 +00:30:52,110 --> 00:30:56,950 +كيالية، قطعامافيش اي مشكلة يعني هو عشان ما يغلطش + +429 +00:30:56,950 --> 00:31:01,950 +فبقول فانما اقول انا واحد على C كوكلان بيساوي واحد + +430 +00:31:01,950 --> 00:31:04,870 +ع سي واحد زاد واحد ع سي اتنين بس لما اكون اتنين ده + +431 +00:31:04,870 --> 00:31:07,310 +بيساوي C كوكلان بيساوي C واحد C اتنين ع سي واحد + +432 +00:31:07,310 --> 00:31:13,770 +زاد C اتنين او نص نده لما اقول متساوي مش دائما + +433 +00:31:13,770 --> 00:31:18,750 +متساوي طبعا لو واحد ثلاثة وبتاني اربعة عيش نقول نص + +434 +00:31:18,750 --> 00:31:20,850 +مده نرجع لو طلعوا + +435 +00:31:34,200 --> 00:31:40,060 +هو نفس القضية نفس القضية طبعا بس في هذه الحالة ايش + +436 +00:31:40,060 --> 00:31:50,420 +بيصير معاك انت لما تعملها يعني انا ذاكرك بس صح + +437 +00:31:50,420 --> 00:31:54,380 +هي اللي صار فيها دي مش سفر يا بنا شباب هذه صارت + +438 +00:31:54,380 --> 00:31:59,630 +سلكمامرش يعني ليه؟ لأن صار فرق الجهد بيهم zero و + +439 +00:31:59,630 --> 00:32:03,090 +فرق الجهد ال zero زي كانها cynic صارت لما يكون هدى + +440 +00:32:03,090 --> 00:32:06,130 +cynic .. جديش فرق الجهد بين المقاطين هدول؟ شفر .. + +441 +00:32:06,130 --> 00:32:12,190 +هيك بتصير .. استبدال .. بيحنيجيها .. طب هنا فرق + +442 +00:32:12,190 --> 00:32:15,290 +الجهد بيمرش لإنه مافيش شي عندي .. أنا فرق الجهد .. + +443 +00:32:15,290 --> 00:32:16,970 +القيامة بيمر من الجهد دي لعلي الجهد اللي أقل .. + +444 +00:32:16,970 --> 00:32:21,600 +انا مصار جهد بيهم مافيش .. تمامإيش مهمة ال .. إيش + +445 +00:32:21,600 --> 00:32:24,460 +شغلات الكابستر شباب لو سألكم؟ إيش مهمة الكابستر؟ + +446 +00:32:24,460 --> 00:32:28,140 +تخزين طاقة .. تخزين طاقة .. أي شغلته؟ يعني أنا + +447 +00:32:28,140 --> 00:32:31,400 +بحطه جوه ال .. الراديو و لا جوه التلفزيون و لا جوه + +448 +00:32:31,400 --> 00:32:34,860 +ال calculator؟ أتفرج عليه و لا ليه المهمة؟ مهمته + +449 +00:32:34,860 --> 00:32:37,980 +هي تخزين الطاقة الكهربية كيف جانيما أنت بتشحنه + +450 +00:32:37,980 --> 00:32:41,140 +عملية الشحن مش .. احنا طبعا شوفنا .. شوفت الأترون + +451 +00:32:41,140 --> 00:32:44,860 +و هو بتحرك؟ مش هيك عملية الشحن؟ فيه أترون بتحرك + +452 +00:32:44,860 --> 00:32:48,500 +يعني في شحنة بتنتقل من مكان لمكان و لما أنجل شحنة + +453 +00:32:48,500 --> 00:32:53,980 +في شغل مبدل ولا مافيفي مين بيخزن الشغل؟ البطارية + +454 +00:32:53,980 --> 00:32:57,780 +البطارية بتبقى تشغل وتبقى تشغل وين راح؟ بتخزن جوا + +455 +00:32:57,780 --> 00:33:01,220 +عليها الطاقة اذا هي الطاقة من هنا ايه؟ لو + +456 +00:33:01,220 --> 00:33:05,100 +الكاباسيتر مش مشحون فيه جوا طاقة؟ لأ اذا انا بقاش + +457 +00:33:05,100 --> 00:33:08,740 +حاجة محطه في دار كهربائية وبالتالي بصير بيخزن طاقة + +458 +00:33:08,740 --> 00:33:12,140 +كيف بدي احسبها هالطاقة؟ بيقول ال energy stored in + +459 +00:33:12,140 --> 00:33:16,080 +a charged capacitor بدي احسبها سهلة وكل ما خدته في + +460 +00:33:16,080 --> 00:33:19,860 +الشبطار اللي جابلها ده نحسبهابقول as mentioned + +461 +00:33:19,860 --> 00:33:32,280 +before in charging a capacitorالإلكترون يتحرك من + +462 +00:33:32,280 --> 00:33:38,560 +مجلة إلى مجلة مرتبطة بالقطب السالب وبالتالي راحت + +463 +00:33:38,560 --> 00:33:42,700 +من هنا موجب صارت سالبة راحت على البلية التانية + +464 +00:33:42,700 --> 00:33:46,720 +صارت موجب وصارت سالبة فصار في فرق جهد واحد موجب + +465 +00:33:46,720 --> 00:33:51,580 +واحد سالب تمام هذا هياللي احنا عملناها وعملناها زي + +466 +00:33:51,580 --> 00:33:56,280 +كمرة رصدها هيك انا بشحن كبسيطر ال الاترون بروح من + +467 +00:33:56,280 --> 00:33:59,120 +واحدة بالصير الموجة بروح ع التانية بالصير الساربة + +468 +00:33:59,120 --> 00:34:03,700 +واتقش بجاف لما الصير الجهود تتساوى خلاص بيبطل في + +469 +00:34:03,700 --> 00:34:07,700 +مجال اني انتقل وزي ما حكيت انت انه انا في عندى حد + +470 +00:34:07,700 --> 00:34:11,220 +بترضه وواحد تاني بترضه مش شجال تانية بيغلب اللي + +471 +00:34:11,220 --> 00:34:14,800 +بيضطر اكتر لكن لما يتساوى حد بيغلب بيبطل يبطل يضطر + +472 +00:34:14,800 --> 00:34:17,870 +الاترون لا من هنا ولا من هنا خلاص بيبطل في حركةزي + +473 +00:34:17,870 --> 00:34:20,430 +اللي احنا حكينا انه انا اللي اتكون هنا بطلبه حد و + +474 +00:34:20,430 --> 00:34:23,650 +حد بيطرده طب ما هذي صارت ثالثة بتطرده التالية لكن + +475 +00:34:23,650 --> 00:34:26,610 +هذي أجواء بتبقى بتطرد لما تصير هذي و هذي بيساوي + +476 +00:34:26,610 --> 00:34:28,950 +بعض بيبقى اللي اتطرد خاص بيبقى بيبقى بيبقى بيبقى + +477 +00:34:28,950 --> 00:34:29,470 +بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى + +478 +00:34:29,470 --> 00:34:31,890 +بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى + +479 +00:34:31,890 --> 00:34:37,950 +بيبقى بيبقى بيبقى بيب + +480 +00:34:38,860 --> 00:34:42,160 +هو عمره السالي ممكن تسيطر على الموجب و الموجب + +481 +00:34:42,160 --> 00:34:46,380 +دايما اكفر حاجات تتطلع عليها، هذي زرقه ولا لا؟ هذي + +482 +00:34:46,380 --> 00:34:50,020 +سالبة او هذي؟ حاجات تنتهي سالبة بعد مين ممكن تسيطر + +483 +00:34:50,020 --> 00:34:54,580 +على الكتار؟ الأقوىالبطارية دائما موجودة سالبة طبعا + +484 +00:34:54,580 --> 00:34:58,220 +هدقلي لك الخطب السالب تبع المكفر وكتير صار سالب + +485 +00:34:58,220 --> 00:35:01,880 +أول مرة اتمر بطارية صح؟ أول حاجة صار سالب خلنا + +486 +00:35:01,880 --> 00:35:04,800 +نقول سالب واحد volt و بعدين صاروا اتنين volt و + +487 +00:35:04,800 --> 00:35:07,380 +بعدين صاروا ثلاثة volt البطارية عشرة volt لما صير + +488 +00:35:07,380 --> 00:35:10,000 +عشرة volt بنقول احنا صلنا جد باحد ماحد يضطر من + +489 +00:35:10,000 --> 00:35:14,220 +اتحادها فبتستقر و بتبطل في عيننا مخل شحنات و حكينا + +490 +00:35:14,220 --> 00:35:14,520 +احكي + +491 +00:35:24,120 --> 00:35:29,860 +عملك أسمعتي من البطارية ده ساعة؟ + +492 +00:35:29,860 --> 00:35:35,320 +البطارية ساعة يعني؟ ال volt ساعة؟ جودها؟ جود + +493 +00:35:35,320 --> 00:35:39,750 +المكثف من وين جود المكثف هو؟ الجود؟هو بجهده ايه + +494 +00:35:39,750 --> 00:35:43,290 +لما اضطط بالبطارية عشان كده لو اضطط مكافح من اي + +495 +00:35:43,290 --> 00:35:48,050 +انكان البطارية عمره بيكون جهده اقل او اكتر من جهد + +496 +00:35:48,050 --> 00:35:55,410 +البطارية لازم يسويه لازم يسويه لان هو اخذ جهده منه + +497 +00:35:55,410 --> 00:36:01,450 +اخذ جهده منه هذي silico silico او بليت و بليت جبعت + +498 +00:36:01,450 --> 00:36:06,960 +عبارة عن ثلاجتين ثلاجتين بوريشيو بقى طبعا بطاريزه + +499 +00:36:06,960 --> 00:36:11,160 +يسلوا معاه يصوى الجهاز و يسلوا بشغله و يخزن طاقة و + +500 +00:36:11,160 --> 00:36:14,500 +يذاكروا بيخرب الراديو و بيخرب التلفزيون و هم يقفوا + +501 +00:36:14,500 --> 00:36:18,000 +في جراد عضارة على صفحتين بينهم بصوت عازل اذا جهده + +502 +00:36:18,000 --> 00:36:22,900 +بقدرش اقارن بينهم تمام؟ حلو بيقولي طب و أنت قاعد + +503 +00:36:22,900 --> 00:36:26,940 +تهبأ بينك اتفقنا في شغل ولا مافيش شغل؟ طب الشغل + +504 +00:36:26,940 --> 00:36:31,760 +إيش بيساوي؟ مش بيساوي الشغل الشحنة الموقولة في فرق + +505 +00:36:31,760 --> 00:36:36,760 +الجهد بينهم؟تمام؟ انا قاعد بنجول من hand ل hand لو + +506 +00:36:36,760 --> 00:36:40,100 +جبتلي فرق الجهد ل hand بتقدر تجيب الشغل بقوله اه + +507 +00:36:40,100 --> 00:36:43,420 +الشغل بساوي شحنة ال electrode فى فرق الجهد ل hand + +508 +00:36:43,420 --> 00:36:46,940 +لأن انا بنجول من hand ل hand و لا لأ ذاكرين؟ فرق + +509 +00:36:46,940 --> 00:36:51,620 +الجهد من نقطتين يعرف على ان الشغل اللازم عشان أنقل + +510 +00:36:51,620 --> 00:36:55,840 +وحدة الشحنات من نقطة لنقطة لو بدي اجيب الشغل عشان + +511 +00:36:55,840 --> 00:36:59,720 +أنقل شحنة بقوله دروف الشحنة المنقولة تمام؟ بيقوللي + +512 +00:37:01,520 --> 00:37:07,820 +هذا يعني أن العمل محتاج لتشارج كفاصيتر.والعمل + +513 +00:37:07,820 --> 00:37:12,780 +بتاعنا هو بطارية وهذا العمل محتاج لتشارج كفاصيتر + +514 +00:37:12,780 --> 00:37:13,500 +.هذا العمل محتاج لتشارج كفاصيتر.هذا العمل محتاج + +515 +00:37:13,500 --> 00:37:19,120 +لتشارج كفاصيتر.هذا العمل محتاج لتشارج كفاصيتر.هذا + +516 +00:37:19,120 --> 00:37:23,400 +العمل محتاج لتشارج + +517 +00:37:23,400 --> 00:37:28,270 +كفاصيتر.واضرب بشحن المنقولة وانهيها القضية بيقول + +518 +00:37:28,270 --> 00:37:30,450 +لي كهذا البرنامج اللي بيبقى بيت كمستو كان في الأول + +519 +00:37:30,450 --> 00:37:34,610 +فاضي قال ليش فارقة جوهر بين طلافينه؟ سفر، مظبط ولا + +520 +00:37:34,610 --> 00:37:40,610 +لأ؟ أول إلكترون نجاته بتبذل الشغللأ، لو كان فيه + +521 +00:37:40,610 --> 00:37:43,750 +فرق جوهب بينهم، ففيش الـcapacitor عبارة عن البيت + +522 +00:37:43,750 --> 00:37:46,050 +الـcapacitor is initially on the charge support + +523 +00:37:46,050 --> 00:37:49,350 +that Q الشحنات الإلكتروني من يرجع حاجات للـnon + +524 +00:37:49,350 --> 00:37:51,070 +-nother يعني الشحنات الموجة بيبقى تبروها اللي + +525 +00:37:51,070 --> 00:37:55,790 +بتتحرك support that Q small q is that charge built + +526 +00:37:55,790 --> 00:37:59,230 +up on the capacitor at some instant انت مانبتش + +527 +00:37:59,230 --> 00:38:02,770 +حاجة الcapacitor في الآخر هيصفي عليك شحنات capital + +528 +00:38:02,770 --> 00:38:05,910 +Q لكن ال capital Q مرة واحدة تيجي ولا واحدة واحدة؟ + +529 +00:38:06,460 --> 00:38:12,940 +نفترض هذه العملية ستأخذ معاك خمس ثواني خمس ثواني + +530 +00:38:12,940 --> 00:38:17,040 +اكبرها شوية بعد ثانيتين تفحص فيه شحنات بيكونوا ولا + +531 +00:38:17,040 --> 00:38:20,760 +لأ فيه هذول الشحنات اللي فحصتهم بعد ثانيتين ارمزهم + +532 +00:38:20,760 --> 00:38:24,740 +بالرمس small q كل الشحنات اللي لسه مخلصوش لسه جزء + +533 +00:38:24,740 --> 00:38:29,280 +هي small q حيث بعد ثانيتين لو جيبك voltmeter جسد + +534 +00:38:29,280 --> 00:38:32,560 +بتلاقي فرق جوه اللي لأ بلاقي كيف تحسبوا بيكون + +535 +00:38:32,560 --> 00:38:36,800 +small q على اساسصح ولا لأ؟ لذا بعد ثانيتين يعني + +536 +00:38:36,800 --> 00:38:37,920 +أثناء عملية الشحن + +537 +00:38:41,730 --> 00:38:49,650 +أثناء عملية الشحن لسه مانتلاش بمعنى أخر لسه الجهود + +538 +00:38:49,650 --> 00:38:53,830 +ماتساوتش لسه الجهود ماتساوتش تم الـ Potential + +539 +00:38:53,830 --> 00:38:57,430 +Difference across the capacitor at this instant + +540 +00:38:57,430 --> 00:39:01,070 +بقى ثانيتين لسه أنت مخلصتش جيس الجهود يقول يخلينا + +541 +00:39:01,070 --> 00:39:04,450 +جيسه بدي أحسبه ليس على جيسه V بالساوة Q على C غلط + +542 +00:39:04,450 --> 00:39:10,690 +صح وحطته اسمه V لأن هو جزء من V مش كلهبيقول لان + +543 +00:39:10,690 --> 00:39:14,890 +انت جاعل تنجل لسه بيقول احسبلي الان انت مجلد 100 + +544 +00:39:14,890 --> 00:39:19,690 +إلكترون احسبلي الشغل اللازم عشان أنجل الإلكترون + +545 +00:39:19,690 --> 00:39:26,120 +101بينهم جالي المية جهد عرفته والإلكترون المنجول + +546 +00:39:26,120 --> 00:39:31,020 +بعرفه اضرب بقول ال DW الشغل اللازم عشان أنجل شحنة + +547 +00:39:31,020 --> 00:39:38,000 +واحدة بتساوي V في DQ وDQ هي المنجولة في V و V هيها + +548 +00:39:38,000 --> 00:39:41,600 +هذا الشغل عشان أنجل شحنة واحدة طب انت شحنة واحدة + +549 +00:39:41,600 --> 00:39:46,740 +بتنجل؟ بتنجل كتير كاملقال له ايامان كامل العمل + +550 +00:39:46,740 --> 00:39:52,480 +الكامل يتطلب ان تشجع كباسيتر من اي حالة تشجع في + +551 +00:39:52,480 --> 00:40:02,660 +الأول كان فاضي لتشجع كبيتال كيو اذا كامل هذا كامل + +552 +00:40:02,660 --> 00:40:06,080 +لماذا لم تبدأ من صفر لكبيتال كيو في الأول لماذا + +553 +00:40:06,080 --> 00:40:11,440 +كان فاضي و في الأخر تشجع كبيتال كيو تمام لماذا + +554 +00:40:11,440 --> 00:40:15,040 +السوق يريد ان يخزن داخله على اي طاقةهذا العمل + +555 +00:40:15,040 --> 00:40:19,920 +سيكون مخزن في الكباسيوتر كإنجليزيا قوية U تساوي Q + +556 +00:40:19,920 --> 00:40:26,840 +تربيع 2C هذا القانون لو استخدمته سيجلبك مانصغتين + +557 +00:40:26,840 --> 00:40:33,340 +إليه حط Q تساوي C في V C في V سيحط C V تربيع V + +558 +00:40:33,340 --> 00:40:36,560 +تربيع معاسم هنا نصف C V تربيع + +559 +00:40:40,260 --> 00:40:46,680 +أو خلّى Q حق بدل C Q على D فهذه الـC كلها لـU ومن + +560 +00:40:46,680 --> 00:40:50,780 +تحفظ أحفظ واحد فيهم اللي اشتقته أسهل تحفظه نصف Q + +561 +00:40:50,780 --> 00:40:54,080 +تربيع على C والتانين بيجيوا من القرن هذا مافيش أي + +562 +00:40:54,080 --> 00:40:59,820 +إشكلة يزنها U طبعا واحدة تبعتنا جول خلّيني أشوف + +563 +00:40:59,820 --> 00:41:04,800 +الجول هذا إيش قصته ماهي مبين أصلا ماديهوش قصة هذه + +564 +00:41:04,800 --> 00:41:08,900 +Coulomb-Wold هي جول مابيديش أشتقها ولا غلي بحالي + +565 +00:41:08,900 --> 00:41:09,820 +تمام + +566 +00:41:12,440 --> 00:41:17,680 +نشوف هالمثال يعني هو ده مثال شوية مش علاقة مباشرة + +567 +00:41:17,680 --> 00:41:24,140 +بال energy بس يعني عشان نفهم ايش اللي بيصير شوية + +568 +00:41:24,140 --> 00:41:28,280 +غريب المثال ها دي بيقولي two capacitors C1 and C2 + +569 +00:41:28,280 --> 00:41:31,920 +are charged to the same potential difference V0 + +570 +00:41:31,920 --> 00:41:35,120 +بيقولي هدول عندك two capacitors عندك بطارية شباب + +571 +00:41:35,120 --> 00:41:39,340 +البطارية مش غيرها عندك بطارية جهدها V0 شبكة الأول + +572 +00:41:41,770 --> 00:41:45,990 +انشحن فكته و حطته على الطاولة شوية شوية شبكتي + +573 +00:41:45,990 --> 00:41:49,290 +التاني ايش صار فيه برضه انشحن و حطته على الطاولة + +574 +00:41:49,290 --> 00:41:52,010 +الراجل تقول ان انا لدي two capacitors مشحنين بدي + +575 +00:41:52,010 --> 00:41:56,590 +ألعب فيهم تمام بيقول two capacitors C1 and C2 و C1 + +576 +00:41:56,590 --> 00:41:59,670 +أكبر من C2 are charged with the same potential + +577 +00:41:59,670 --> 00:42:03,730 +difference V0 شحنتهم من نفس البطارية اللي شحنها V0 + +578 +00:42:03,730 --> 00:42:06,810 +ده V0 the charge capacitors are removed from the + +579 +00:42:06,810 --> 00:42:13,180 +battery انا بعد ما اشحنه كنت فدت البطاريةو بعد ذلك + +580 +00:42:13,180 --> 00:42:19,580 +اتشارجت كباسيتار و اتشارجت كباسيتار جاني واحد + +581 +00:42:19,580 --> 00:42:25,980 +حاططهم هيك شباب اتطلع انت حاطيت انا الموجب والسالب + +582 +00:42:25,980 --> 00:42:29,680 +عكس بعض الموجب فوق السالب والسالب فوق الموجب + +583 +00:42:29,680 --> 00:42:32,740 +وحاطيت مفاتيح والان بدي أسكر مفاتيحي + +584 +00:42:35,440 --> 00:42:38,040 +Find the potential difference between points A and + +585 +00:42:38,040 --> 00:42:39,800 +B after closing the switches + +586 +00:42:46,180 --> 00:42:49,100 +وش كمان بده؟ find the total energy stored before + +587 +00:42:49,100 --> 00:42:51,980 +and after closing the searches و قاللي في الأول + +588 +00:42:51,980 --> 00:42:55,840 +انت مشحونين ولا مش مشحونين و المفاتيح زي ما هي + +589 +00:42:55,840 --> 00:42:59,040 +مفتوحة اذا فى energy ولا مافيش energy؟ فى energy + +590 +00:42:59,040 --> 00:43:02,760 +لو الفجانية ال energy تبعت عشر او التحتانية تمانية + +591 +00:43:02,760 --> 00:43:07,780 +تجيب تجيب ال total energy ولا لا؟ 18مظبوط؟ لأن هذي + +592 +00:43:07,780 --> 00:43:10,760 +energy scalars انا فوق عندي عشر جول وتحت فيه + +593 +00:43:10,760 --> 00:43:13,380 +تمانية جول جدش ال total energy بقاله عشر او تمانية + +594 +00:43:13,380 --> 00:43:13,680 +و تمانية و تمانية و تمانية و تمانية و تمانية و + +595 +00:43:13,680 --> 00:43:13,820 +تمانية و تمانية و تمانية و تمانية و تمانية و + +596 +00:43:13,820 --> 00:43:14,320 +تمانية و تمانية و تمانية و تمانية و تمانية و + +597 +00:43:14,320 --> 00:43:18,540 +تمانية و تمانية و تمانية و تمانية و تمانية و + +598 +00:43:18,540 --> 00:43:18,540 +تمانية و تمانية و تمانية و تمانية و تمانية و + +599 +00:43:18,540 --> 00:43:21,960 +تمانية و تمانية و تمانية و تمانية و تمانية و + +600 +00:43:21,960 --> 00:43:29,300 +تمانية و تمانية و تمانية و تمانية و تمانية و + +601 +00:43:29,300 --> 00:43:29,320 +تمانية و تمانية و تمانية و تمانية و تمانية و + +602 +00:43:29,320 --> 00:43:36,140 +تمانية و تمانية و تمانية + +603 +00:43:36,140 --> 00:43:42,890 +ووروحت فكيتها انشحنت هاي شحناتها من وين جبتها + +604 +00:43:42,890 --> 00:43:49,150 +دلوقت؟ C في V صح؟ C واحد في V نوعية واحدة موجة + +605 +00:43:49,150 --> 00:43:54,430 +بواحدة ساية بقى في مشكلة؟ تمام جبت التاني شبكته + +606 +00:43:54,430 --> 00:43:59,450 +بالبطارية انشحن ولا لأ؟ خلاص بقول حرك ليه حرك ليه + +607 +00:43:59,450 --> 00:44:05,350 +فكيت البطارية برضه هيك صار جلبته انا جلبته + +608 +00:44:07,960 --> 00:44:10,320 +the charge on each capacitor before closing the + +609 +00:44:10,320 --> 00:44:12,780 +switches دي هم .. هيبقى ال switches هيبقى ايه .. + +610 +00:44:12,780 --> 00:44:17,200 +مزايا مافيش عنده closing Q1 initial بالساوي C1 V0 + +611 +00:44:17,200 --> 00:44:21,120 +و Q2 initial بالساوي C2 V0 initial يعني قبل ما + +612 +00:44:21,120 --> 00:44:24,960 +أسكر مفاتيحي شباب .. تمام؟ هيسر البطارية روحت .. + +613 +00:44:24,960 --> 00:44:28,100 +انسوا البطارية مش موجودة .. شحنة روحت .. تمام؟ قال + +614 +00:44:28,100 --> 00:44:32,880 +الهلجيت إيش بيكسوي؟ after closing the switches هيك + +615 +00:44:32,880 --> 00:44:38,850 +هتصير .. مظبوط ولا لأ؟ انت بقولي شباب هلجيت ..فوق + +616 +00:44:38,850 --> 00:44:46,110 +في عشرة و تحت في ناقص تمانية اعتبرها جديش ال total + +617 +00:44:46,110 --> 00:44:50,990 +اتنين ال total اتنين واحد جديش بده ياخد والتاني + +618 +00:44:50,990 --> 00:44:53,970 +جديش بده ياخد مانيش دعوة اذا اخد الفجار نصف + +619 +00:44:53,970 --> 00:44:56,910 +والتاني تحتاني جديه بده يكون واحد و نصف لكن مقدر + +620 +00:44:56,910 --> 00:45:00,300 +اقول ان المجموع صار اتنين ولا لأ؟طب فان المجموعة + +621 +00:45:00,300 --> 00:45:05,800 +هنا بقدر أقول بـ C1 V0 ناقص C2 V0 ولا لأ؟ طب إيه + +622 +00:45:05,800 --> 00:45:08,820 +اللي بيعشق التانية نفس القضية؟ واحدة موجة بواحدة + +623 +00:45:08,820 --> 00:45:12,920 +سلب، التانية هتكون سلب اتنين ولا لأ؟ اذا بيقوللي + +624 +00:45:12,920 --> 00:45:16,460 +after closing the switches the net is charged on + +625 +00:45:16,460 --> 00:45:19,340 +the two capacitors، the net اللي هو اتنين يعني، + +626 +00:45:19,340 --> 00:45:21,840 +عادتني من ال net ع التنتين، ماجدتش كل واحدة أخدت + +627 +00:45:21,840 --> 00:45:27,360 +مصيبة مش عارف لسه، تمام بيقوللي هدول، ماجدتيش؟هي + +628 +00:45:27,360 --> 00:45:32,000 +ال net و مش هدول ال net جديش و هدول ال net برضه + +629 +00:45:32,000 --> 00:45:36,780 +بتساوي q واحد initial نقص q اتنين initial طبعا في + +630 +00:45:36,780 --> 00:45:40,580 +الأخر اخد هادي و لا اخد هادي بتفرجش معايا طبعا + +631 +00:45:40,580 --> 00:45:43,080 +هادي هتطلع اتنين و هدا هتطلع صلب اتنين مضبوط ولا + +632 +00:45:43,080 --> 00:45:48,360 +لأ لكن capsulate value واحدة منهمبتساوي V0 C1-C2 + +633 +00:45:48,360 --> 00:45:51,700 +على اعتبار ان Q1 initial هي شباب و Q2 initial هي + +634 +00:45:51,700 --> 00:45:56,680 +جمتي ال V0 عالم مشترك لأنها طلعت C1-C2 هال 2 أكبر + +635 +00:45:56,680 --> 00:45:59,420 +من التانية هو جاي يقوللي C1 أكبر من C2 لكن لو + +636 +00:45:59,420 --> 00:46:05,340 +عكستها في الآخر تفجيهش معايا هاي Q ال net ها دي طب + +637 +00:46:05,340 --> 00:46:09,400 +ال 2 ها دي دي انا جوب 8 او 10 او 2 ايش اولا قطها + +638 +00:46:09,400 --> 00:46:12,910 +بكل واحدة هال جت لحال مش المجموعالمجموعة اتنين + +639 +00:46:12,910 --> 00:46:16,690 +بقدر اقول الان the minus sign هو بس بيقولي من وين + +640 +00:46:16,690 --> 00:46:19,310 +اتيت ال minus sign is because the two plates are + +641 +00:46:19,310 --> 00:46:22,210 +that are connected with opposite pluralities بيقول + +642 +00:46:22,210 --> 00:46:25,030 +السلب اللي انت شايفه هنا عشان هنا فيه سلب انا بجمع + +643 +00:46:25,030 --> 00:46:29,150 +بجمع عشرة و سلب تمانية مابقولش عشرة زي التمانية + +644 +00:46:29,150 --> 00:46:32,950 +بقول عشرة و سلب تمانية و هنا بيصير سالب عشرة و زي + +645 +00:46:32,950 --> 00:46:36,630 +التمانية واضح فحكاية السلب مش اللي يقولي لازم تكون + +646 +00:46:36,630 --> 00:46:41,210 +موجب لأ السلب معروف علشانبقول since the two + +647 +00:46:41,210 --> 00:46:44,390 +capacitors are connected together هجيت هدول شباب + +648 +00:46:44,390 --> 00:46:49,370 +ماشي كون بكتر صار واحد بقدر اقول V1 بيساوي V2 ولا + +649 +00:46:49,370 --> 00:46:53,730 +لأ اه مانهاش دعوة بالتوازي والتواري V1 بيساوي V2 + +650 +00:46:53,730 --> 00:46:57,230 +لان هدول مستمرين مع بعض بقول since the two + +651 +00:46:57,230 --> 00:47:00,210 +capacitors are connected together this charge will + +652 +00:47:00,210 --> 00:47:03,190 +be distributed between the two capacitors provided + +653 +00:47:03,190 --> 00:47:08,460 +thatv1 لازم تساوي v2 اتوصلت تسكّلت مفاتيحي اذا + +654 +00:47:08,460 --> 00:47:12,080 +لازم v1 final تساوي v2 final كمان مرة final بتعني + +655 +00:47:12,080 --> 00:47:15,760 +بعد ما سكّلت مفاتيحي فfinal هذه قطعة طيب هي v + +656 +00:47:15,760 --> 00:47:19,280 +final انها قانون بقوله اه v final بتساوي q1 final + +657 +00:47:19,280 --> 00:47:26,000 +على سيوي واحد و q2 final بتساوي c2 final اذا و هذه + +658 +00:47:26,000 --> 00:47:31,120 +q1 final زي ادي q2 final بتساوي q total اللي هي + +659 +00:47:31,120 --> 00:47:35,080 +هذهاللي هي هذه اللي قلت عنها اتنين هذه اتنين + +660 +00:47:35,080 --> 00:47:38,680 +اتوزعت بين اتنين بحيث ان المجموعة لازم تسوى اتنين + +661 +00:47:38,680 --> 00:47:44,740 +فبقولي صار عندك هدول العقتين imply that هذه بتقولي + +662 +00:47:44,740 --> 00:47:49,420 +q1 final ع c1 و هذه بتقولي q2 final ع c2 قلو هاي + +663 +00:47:49,420 --> 00:47:52,460 +معادلة و هاي معادلة يا شباب و كان مجهول عندك q1 + +664 +00:47:52,460 --> 00:47:57,770 +final و q2 final هاي مجهولين طلحهم قالي طلحهموها + +665 +00:47:57,770 --> 00:48:02,170 +دي capital Q شحتها من الورق اللي جابلها Q1 سوى Q + +666 +00:48:02,170 --> 00:48:06,770 +ايه اشتغل؟ from equation 1 and 2 طلعت Q1 final + +667 +00:48:06,770 --> 00:48:11,830 +وطلعت Q2 final كل واحد جديش نصيبه نص وواحد ونص ولا + +668 +00:48:11,830 --> 00:48:14,490 +عشرين وواحد و تمانية عشر لكن في النهاية لازم + +669 +00:48:14,490 --> 00:48:18,270 +المجموع يكون اتنين فهي طلعت Q1 final وQ2 final + +670 +00:48:18,270 --> 00:48:24,010 +اجمعهم بتطلع هذه Q اللي هي هذه تمام الان from + +671 +00:48:24,010 --> 00:48:24,930 +equation 1 + +672 +00:48:27,490 --> 00:48:32,410 +from equation 1 we get .. مش equation 1 هذه .. من + +673 +00:48:32,410 --> 00:48:37,490 +هذه .. انه VAB بيسوي V1 final بيسوي V2 final و + +674 +00:48:37,490 --> 00:48:41,990 +بطلحها V1 final .. هي بال equation 1 في الآخر .. + +675 +00:48:41,990 --> 00:48:47,350 +ما هي هذه نفسها .. V .. هذه V1 شباب و هذه V2 و + +676 +00:48:47,350 --> 00:48:51,810 +الآن Q1 final و Q2 final اللي عرفوا فبطلّع V1 + +677 +00:48:51,810 --> 00:48:55,610 +final و V2 final كأقام طلعت بهذه النتيجة + +678 +00:48:57,870 --> 00:49:00,190 +في الأول هو كان بده فرق الجهد و طلعت فرق الجهد + +679 +00:49:00,190 --> 00:49:06,030 +مافيش مشكلة مازال انا جيبت هادي بقدر اجيب هادي و + +680 +00:49:06,030 --> 00:49:09,650 +هادي هي نفسها و equivalent اللي هي AP نفسها ايش + +681 +00:49:09,650 --> 00:49:13,670 +المطلب التاني بيقول يجيب لي U قبل ما ساكن المفاتيح + +682 +00:49:13,670 --> 00:49:17,870 +و U بعد ما ساكن المفاتيح بيقول before closing the + +683 +00:49:17,870 --> 00:49:23,300 +switches المكثفين انشحنواU Initial بيسوي 1 Initial + +684 +00:49:23,300 --> 00:49:30,040 +زي ما يحسبون 10 او 18 ديوت ده بيحسبه بما يهدي إلى + +685 +00:49:30,040 --> 00:49:35,120 +خطط قدت قوانين و نص في واحد V not تربية طبعا قبل + +686 +00:49:35,120 --> 00:49:39,260 +ما أسكر مفاتيح الشباب V تبعتها تبعت البطارية و + +687 +00:49:39,260 --> 00:49:42,960 +التاني قبل ما أسكر المفاتيح V تبعتها تبعت البطارية + +688 +00:49:42,960 --> 00:49:50,440 +حسبتهم طلعتها هذي U Initialهل بعد ما أسكر مفاتيحي + +689 +00:49:50,440 --> 00:49:55,520 +بيظل جهدي المكثف بيساوي جهد البطارية؟ لأ جهد جديد + +690 +00:49:55,520 --> 00:49:59,420 +هو أنا لما شبكت بالبطارية أخد جهدي البطارية بذل + +691 +00:49:59,420 --> 00:50:02,760 +حاله بيظلوا جهدي البطارية غيروا رابطوا مع بعض + +692 +00:50:02,760 --> 00:50:08,180 +تنتقل الشحنات من واحد للتاني حتى الجهود تتغير و + +693 +00:50:08,180 --> 00:50:11,900 +تتساوى فالجهود بتتغير بعد كده بيقول after closing + +694 +00:50:11,900 --> 00:50:17,910 +the switchesأيش صار U final برضه بتسوي U1 final زي + +695 +00:50:17,910 --> 00:50:22,390 +U2 final هنا U1 initial زي U2 initial هنا U1 final + +696 +00:50:22,390 --> 00:50:26,950 +زي U2 final وهذه بتسوي منها واحد C1 V final تربية + +697 +00:50:26,950 --> 00:50:30,510 +زي نص C2 V final تربية او V final تربية انا طلعتها + +698 +00:50:30,510 --> 00:50:34,090 +انا وياكم بتعود و بتطلع النتيجة اللي هي VAB + +699 +00:50:34,090 --> 00:50:39,920 +وطلعناها بهذا الشكلالشحنات تتغير ولا تنقل؟ تتغير + +700 +00:50:39,920 --> 00:50:42,540 +طبعا، مش هتتقل الشحنات من اللي على جهود إلى اللقاء + +701 +00:50:42,540 --> 00:50:45,720 +للجهود، هتتساوي الجهود، احنا واحد كده عشرة، واحدة + +702 +00:50:45,720 --> 00:50:48,980 +ناقص تمانية، صار اتنين، هجد في واحد ممكن ياخد + +703 +00:50:48,980 --> 00:50:52,880 +تمانية وياخد عشرة، وهم كلهم اتنين، صح ولا؟ في + +704 +00:50:52,880 --> 00:50:53,840 +الواحد ده اللي على الأرقام + +705 +00:50:57,590 --> 00:51:01,550 +مانشوش اصغار في صواب ال .. ال .. الرموز خينا عشر + +706 +00:51:01,550 --> 00:51:05,590 +او تمانية واحد عشر هو هتسلب تمانية في الآخر ده على + +707 +00:51:05,590 --> 00:51:07,950 +مثال كلمة مفاتيحي في واحد منهم ممكن ياخد عشر و لا + +708 +00:51:07,950 --> 00:51:12,110 +ياخد تمانية لأ في الآخر حده الأقصر يزيد تاني سفر و + +709 +00:51:12,110 --> 00:51:16,350 +يكون اتنى لكن مش هتكون سفر هياخد ان شاء الله عشر و + +710 +00:51:16,350 --> 00:51:20,390 +يكون تاني واحد قصة عشر اذا ان خلاص هيتغير الشحنات + +711 +00:51:20,390 --> 00:51:24,900 +مع أن كانت عشر او كانت تمانيةواحد و نص و نص و واحد + +712 +00:51:24,900 --> 00:51:29,160 +و ربع و تتربع و حاجة زي ايه فبتتغير الشحنات + +713 +00:51:29,160 --> 00:51:34,400 +لمنتقلة من واحد لواحد طبعا هذه حكاية الكابسيتر + +714 +00:51:34,400 --> 00:51:39,440 +الشباب يعني موضوع كثير سهل بس خلينا نرجعه بصورة + +715 +00:51:39,440 --> 00:51:44,080 +سريعة ان انا الكابسيتر جهاز وظيفته تخزين الطاقة + +716 +00:51:44,080 --> 00:51:50,860 +الكهربائية اهم خاصية شبابه هو سعته سعته هو مصطلح + +717 +00:51:50,860 --> 00:51:52,360 +فيزيائي + +718 +00:51:55,630 --> 00:52:00,450 +كدّيش صفات هذا الكمبيوتر؟ إيه شغلقة ال V مع ال Q + +719 +00:52:00,450 --> 00:52:04,850 +هو اللي بربطها C؟ ال Q مع ال V بينهم علاقة ترضية + +720 +00:52:04,850 --> 00:52:08,870 +يا شباب زادت ال Q زادت ال V زادت ال V زادت ال Q + +721 +00:52:08,870 --> 00:52:13,590 +ثابت التناسب هو C هذه ال C بالرغم إنها بتربط Q و V + +722 +00:52:13,590 --> 00:52:18,470 +تتعفش بيهماللي بتقفر في C هو التركيبة الداخلية تبع + +723 +00:52:18,470 --> 00:52:22,770 +الكماسيتر و اللي احنا ركزنا على ي نوت و A و D + +724 +00:52:22,770 --> 00:52:28,170 +تتناسب تراضيا مع A عكسيا مع D و فيها بتتناسب ي نوت + +725 +00:52:28,170 --> 00:52:33,690 +و اتفقنا ي نوت هذي بتمثل الوسط العازل صح ولا لا؟ + +726 +00:52:34,140 --> 00:52:40,480 +الكباسيتر ممكن نوصلهم + +727 +00:52:40,480 --> 00:52:46,480 +على التوازي اذا وصلناهم على التوازي الشحنات تتساوى + +728 +00:52:46,480 --> 00:52:52,220 +و تكون C جليلة اذا وصلناهم على التوازي الجهود + +729 +00:52:52,220 --> 00:52:57,260 +تتساوى و C تزيد حسبنا ال energy لما اصلا حكينا ان + +730 +00:52:57,260 --> 00:53:01,980 +الكباسيتر is a device to store energy كيف نحسبها + +731 +00:53:01,980 --> 00:53:07,750 +حسبناهامش كتير احنا بنجيه منه prove that لكن في + +732 +00:53:07,750 --> 00:53:11,270 +النهاية استقطناه من معلومات بسيطة انه عبارة عن شغل + +733 +00:53:11,270 --> 00:53:16,430 +حسبنا الشغل وطلعنا U equal half Q تربيه over C + +734 +00:53:16,430 --> 00:53:21,890 +الان بدي أغير هالفراغ انا الوسط العازل بدي أغيره + +735 +00:53:21,890 --> 00:53:27,550 +وكل المكثفات التجارية الوسط العازل مش فراغفموضوعنا + +736 +00:53:27,550 --> 00:53:32,350 +الآن capacitors with dielectric الفراغ أصبح مادة + +737 +00:53:32,350 --> 00:53:35,730 +عازلة أخرى dielectric هو الوسط العازل نشوف إيش + +738 +00:53:35,730 --> 00:53:39,950 +بيحصل .. بلاستيك .. مش بدلوه فيش اللي بلاستيك .. + +739 +00:53:39,950 --> 00:53:44,450 +بلاستيك أحد أنواعها .. بلاستيك ووراج .. مادة + +740 +00:53:44,450 --> 00:53:49,550 +كيميائية معينة .. و هو قوى .. أه لكن في الآخر + +741 +00:53:49,550 --> 00:53:52,750 +الشغل العملي لم يكن الشيء .. تمام؟ حتة بيعملوا + +742 +00:53:52,750 --> 00:53:57,880 +ضعيف في الشغل التجارية .. شغل الصين ..A + +743 +00:53:57,880 --> 00:54:00,060 +bioelectric is an insulating material + +744 +00:54:04,720 --> 00:54:08,400 +تمام it is found that قالوا هذا الكبسيطر اللي كان + +745 +00:54:08,400 --> 00:54:12,600 +ساعة و عشرة مايكروفارات واحد جاب جطعة بلاستيك و + +746 +00:54:12,600 --> 00:54:15,780 +حطها في النص و اتغيرت الساعة طبعا الواحد لم يعرف + +747 +00:54:15,780 --> 00:54:18,100 +ايش يسوي تجوية اللي انت بتلعب فيه جاعت بتلعب في + +748 +00:54:18,100 --> 00:54:21,980 +تركيبته الداخلية منطقي انها Z زيد او تتغير على + +749 +00:54:21,980 --> 00:54:24,980 +الأقل تمام ما زال انت لعبش في تركيبة الداخلية + +750 +00:54:24,980 --> 00:54:30,270 +تبعته اذا مدرسيه تتغير حط بلاستيكC تغيرت جامعي + +751 +00:54:30,270 --> 00:54:35,210 +بلاستيك حاط خشب C طلعت كمية جديدة تمام لان وابسه + +752 +00:54:35,210 --> 00:54:38,830 +بيتغير بيقول لي هو بيشتغل في المعمل it is found + +753 +00:54:38,830 --> 00:54:43,070 +that when a dielectric material خشب بلاستيك مطاط + +754 +00:54:43,070 --> 00:54:44,370 +وورق زجاج + +755 +00:54:55,180 --> 00:54:58,760 +الذي يزيد مع الزجاج غير اللي يزيد عن الحشب + +756 +00:55:03,750 --> 00:55:07,950 +مادة حطيتها انغابة C الأولانية بفاكتره معين رمزيه + +757 +00:55:07,950 --> 00:55:10,710 +بالرمز Kappa الكل صغيرها دي حرف يوناني Kappa + +758 +00:55:10,710 --> 00:55:14,730 +بيسموه هو الكل في اللغة اليونانية code the + +759 +00:55:14,730 --> 00:55:17,490 +bioelectric constants of the material سموها ثابت + +760 +00:55:17,490 --> 00:55:20,830 +ال bioelectric يعني هذا ثابت الزجاج، هذا ثابت + +761 +00:55:20,830 --> 00:55:25,700 +الخشب، هذا ثابت البلاستيك، تمام؟That is ايه قالوا؟ + +762 +00:55:25,700 --> 00:55:29,960 +قالوا C بالساوية كابا في C نوت C شبه بالسعة مع ال + +763 +00:55:29,960 --> 00:55:34,820 +dielectric C نوت السعة مع الفراغ نوت دايما بياخد + +764 +00:55:34,820 --> 00:55:38,860 +الفراغ بيقول where C and C نوت are the capacitance + +765 +00:55:38,860 --> 00:55:43,060 +with and without the dielectric respectively إذا C + +766 +00:55:43,060 --> 00:55:49,160 +نوت هي السعة لما يكون ال dielectric فراغC هو السعة + +767 +00:55:49,160 --> 00:55:51,380 +لما يكون الداي إلكتريك المادة الداي إلكتريك اللي + +768 +00:55:51,380 --> 00:55:55,580 +أنا بدي استخدمها لجوا ان C أكتر من C0 بمعنى أخر + +769 +00:55:55,580 --> 00:56:00,860 +لما أزود الداي إلكتريك أغيره السعة بتزيد السعة + +770 +00:56:00,860 --> 00:56:03,580 +بتزيد طب هدى ميزة إذا أنا ماعنديش أخليها فراغ + +771 +00:56:03,580 --> 00:56:09,730 +بتحطلي أي مادةSince C is always greater than C0, + +772 +00:56:09,890 --> 00:56:12,950 +the bioelectric constant K must be greater than + +773 +00:56:12,950 --> 00:56:17,950 +unity. هذا ما وجدته.طبعا بعد كده صار في حسابات + +774 +00:56:17,950 --> 00:56:22,050 +كتير لكابا وحسبه كابا لكتير مواد.طبعا انتوا من هذا + +775 +00:56:22,050 --> 00:56:27,090 +القران شباب، لو هذه حطتها C0، إيش هذي بتصير؟واحد + +776 +00:56:27,090 --> 00:56:32,450 +واحد اذا معناته قابل الفرق كم واحد تمام هذه الشيء + +777 +00:56:32,450 --> 00:56:35,790 +الطبيعي لما يجيوا حسبوا وقالوا ال material ال + +778 +00:56:35,790 --> 00:56:40,030 +vacuum واحد الهواء واحد point عشان كده يقولوا + +779 +00:56:40,030 --> 00:56:44,530 +الهواء كم برضه واحد طلع كم قيمته one point او او + +780 +00:56:44,530 --> 00:56:51,430 +او سيكس واحد تمام نيجي ال bathing ال بولسترين ال + +781 +00:56:51,430 --> 00:56:59,440 +paper الورق ال quarts ال oilلجلاس ال rubber و هذه + +782 +00:56:59,440 --> 00:57:04,900 +بورسلية مادة خزاف ال nylon و ال water ال water 80 + +783 +00:57:07,850 --> 00:57:10,370 +هذه بس من العلم عشان انا جاهز بو جاهز biometric + +784 +00:57:10,370 --> 00:57:14,130 +strength حكينا احنا في بداية المكثف بيقولوا كبسيطر + +785 +00:57:14,130 --> 00:57:17,350 +بيحطوا بالاضافة الى جديش سعته وجديش الجهد اللى + +786 +00:57:17,350 --> 00:57:21,610 +بتحمله صح ولا لا كيف بيعرفوا بقولوا حسب وسط العزل + +787 +00:57:21,610 --> 00:57:25,850 +اللى جوا لأنه لو انا قولت اشهد الرقم ماليش دعوة + +788 +00:57:25,850 --> 00:57:30,020 +فيه هاطلت جهد اعلى اشهد في وسط العزل؟بتأيّن وبني + +789 +00:57:30,020 --> 00:57:34,180 +حنجو بتطلع ريحته صح ولا لأ اذا بيعتمد ال die + +790 +00:57:34,180 --> 00:57:37,200 +electric strength شباب من هنا بيجيبوه حسب المادة + +791 +00:57:37,200 --> 00:57:41,480 +العازلة اللي موجودة بيحطله جديش بتحمل جهود عشان ما + +792 +00:57:41,480 --> 00:57:45,540 +تحطش اكتر من كده فهي كل واحد طبعا تلاتة وعشرة وستة + +793 +00:57:45,540 --> 00:57:50,840 +volt على متر هذا اربع وعشرين بحسب كل مادة اللي لها + +794 +00:57:50,840 --> 00:57:55,320 +جهود معينة ده مش مهميقولون افهم ايش اللي خلّى + +795 +00:57:55,320 --> 00:58:00,060 +الساعة زيد فزيائيا فدايما الأمور المخبرية شباب + +796 +00:58:00,060 --> 00:58:04,140 +مخبرية واقع الساعة زادت بصير المشكلة ايش اللي + +797 +00:58:04,140 --> 00:58:09,280 +زودها وهي المعضلة ايش اللي زودها فقربوا تشوفوا ايش + +798 +00:58:09,280 --> 00:58:12,520 +اللي صار عشان الساعة الزيد وإلا إذا دلت زاد وانا + +799 +00:58:12,520 --> 00:58:16,360 +مش فاهم ممكنش أطبق حاجة وممكنش أحل اللغة صباحها + +800 +00:58:16,680 --> 00:58:19,580 +بقولي let us now explain what happens when a + +801 +00:58:19,580 --> 00:58:22,060 +dielectric material is inserted between the blades + +802 +00:58:22,060 --> 00:58:25,220 +of an oscillated capacitor بيجي أشرح أعناه إياكم + +803 +00:58:25,220 --> 00:58:27,620 +بيقولي صدبوت that the dielectric is a polar + +804 +00:58:27,620 --> 00:58:29,980 +material بيقولي هذه ال dielectric في النهاية مادة + +805 +00:58:29,980 --> 00:58:35,020 +ولا مش مادة؟ مادة وانتوا غالبا المواد كيف انتوا + +806 +00:58:35,020 --> 00:58:39,430 +بتعرفوا انه تتكون فيها الجولة تتكون من أيوناتصح + +807 +00:58:39,430 --> 00:58:42,830 +ولا لأ؟ كل النواة حولها إما أيونات وإذا مش أيونات + +808 +00:58:42,830 --> 00:58:45,450 +بتشبهي الأيونات يعني في النهاية بتعامل معاها على + +809 +00:58:45,450 --> 00:58:49,450 +إنها dipoles ولا مش dipoles ال أيون إيش هو؟ مش + +810 +00:58:49,450 --> 00:58:52,650 +أيون موجب أو أيون سالب؟ وأي إن كانت الشحنة في + +811 +00:58:52,650 --> 00:58:55,210 +الآخر حتى لو كانت ذرّة بيقول ما هو .. إيش فيه في + +812 +00:58:55,210 --> 00:59:02,810 +النواة؟ وإيش فيه هنا؟ واحنا بطبيعة الأحوال المادة + +813 +00:59:02,810 --> 00:59:06,210 +متعادلة ومش متعادلة هادي وهاديون بتساوي بعض ولا + +814 +00:59:06,210 --> 00:59:12,110 +لا؟ تصير عندك زي إيش؟أكيو والسالد اكيو ذاكرين هذا + +815 +00:59:12,110 --> 00:59:16,370 +المثال أول شبطة وسمته electric dipole سمته ال + +816 +00:59:16,370 --> 00:59:19,210 +dipole اذا بيقول المادة بكل الأحوال هي عبارة عن + +817 +00:59:19,210 --> 00:59:23,050 +عدة dipoles جواها dipoles اثناء قطبي سميناها + +818 +00:59:23,050 --> 00:59:27,210 +electric dipoles جالي طيب خلينا نشوف هاي ال dipole + +819 +00:59:27,210 --> 00:59:32,810 +كل مادة مكوّلة من ميادها دولكل مادة مكوّنة من مياد + +820 +00:59:32,810 --> 00:59:36,630 +زي هدول و هدول بيسبحوا كل واحد حر كل واحد بيروح + +821 +00:59:36,630 --> 00:59:39,010 +على الطريق اللي بدهوا إياها ما حد جاله وين انت + +822 +00:59:39,010 --> 00:59:42,670 +بيقولي صبّذ ذات the dielectric is a polar material + +823 +00:59:42,670 --> 00:59:45,890 +مادة مصنوعة من ال بولارا .. Polars has a permanent + +824 +00:59:45,890 --> 00:59:49,810 +electric dipole بيقوللي لأن ها دي اللي بده ادخلها + +825 +00:59:49,810 --> 00:59:52,630 +دي هو ال capacitor ال capacitor مشحون شباب ولا مش + +826 +00:59:52,630 --> 00:59:57,310 +مشحون؟ تعتبره مشحون، تمام؟يعني جوا في مجال كهربائي + +827 +00:59:57,310 --> 01:00:00,970 +ولا مافيش مجال كهربائي؟ في مجال كهربائي جالي the + +828 +01:00:00,970 --> 01:00:03,930 +electric field of the capacitor بدر مصدره بالرمز E + +829 +01:00:03,930 --> 01:00:09,770 +node هذا لما يكون موجود هذا هو ايه صار؟ جالي صار + +830 +01:00:09,770 --> 01:00:16,520 +فيه قوة هيك و قوة هيكليوش القوة مرة مع المجال و + +831 +01:00:16,520 --> 01:00:21,160 +مرة ضد المجال؟ عشان حسب الشيوحنة بقى صار في عزيم + +832 +01:00:21,160 --> 01:00:25,460 +ولا ماصارش عزيم؟ لف الضيبول هذا الأزاج والأحمر + +833 +01:00:25,460 --> 01:00:31,150 +بيلف صار في عندك عزيم صح ولا لأ؟ بيقولنيالطرق + +834 +01:00:31,150 --> 01:00:39,270 +الهيئي للقوات الـ E0 تعمل طرق على بيبول المجلد لكي + +835 +01:00:39,270 --> 01:00:44,510 +يقوم بإعادة هذه البيبول إلى اتجاه E لفه هذه هيك + +836 +01:00:44,510 --> 01:00:47,890 +وهذه هيك هي F positive وهي F negative + +837 +01:00:58,650 --> 01:01:02,710 +هيجيت صوبه هيك، بعد كده بيلفه، في ضايبول هال gate؟ + +838 +01:01:02,710 --> 01:01:05,770 +لأ، مع أن في forces، مافيش ضايبول، فبقيت رواية + +839 +01:01:05,770 --> 01:01:10,850 +كلها، اتجسساش، صويت انت محور + +840 +01:01:10,850 --> 01:01:15,410 +الدوران حوالي النص، لف، محور الدوران حوالي النقطة + +841 +01:01:15,410 --> 01:01:19,450 +هالي، هيجيت انت هي عندك هي، واحد شده من هنا، واحد + +842 +01:01:19,450 --> 01:01:24,150 +شده من هنا، هيعمل هيكبظبط ولا لأ؟ حاجات هي وها + +843 +01:01:24,150 --> 01:01:27,570 +واحد بيشده هيك و واحد بيشده هيك بيشده هنا من هنا و + +844 +01:01:27,570 --> 01:01:31,130 +من هنا، بدي لف ولا ماشي لف؟ بلف، هيروح ال girl يشد + +845 +01:01:31,130 --> 01:01:34,110 +مهالة بكرا و هذا يشد مهالة بكرا، بدي لف؟ لأنه + +846 +01:01:34,110 --> 01:01:37,470 +مافيش عزم، القوة صارت مع نفس محوال الدوران تمام، + +847 +01:01:37,470 --> 01:01:42,510 +جفر هيك، الآن بيقول لي win all the ballsaligned + +848 +01:01:42,510 --> 01:01:45,410 +with the field صاروا بنفس ال field بيسميها aligned + +849 +01:01:45,410 --> 01:01:49,590 +يعني صار خطها مع خط ال field مع نفس الخط we said + +850 +01:01:49,590 --> 01:01:52,530 +that the material is polarized في مصطلح بيقولوا + +851 +01:01:52,530 --> 01:01:57,630 +المادة استقطبت استقطبت كيف يعني انه اتصفت اتصفتت + +852 +01:01:57,630 --> 01:02:01,290 +بيسميها polarized عندما شوفها بيقول هيك المادة + +853 +01:02:01,290 --> 01:02:05,650 +أصلها هيها شايف كل واحد وين سابح لحاله هيك أصل + +854 +01:02:05,650 --> 01:02:09,110 +المادة حاجات بده أحطها في مجال كلهم بدهم اتصفطوا + +855 +01:02:09,110 --> 01:02:13,050 +كلهم بدهم لفوا و اتصفطوابنشوف ايش بيصير معايا + +856 +01:02:13,050 --> 01:02:16,070 +بيقولوا هاي الكفاسة الترهجة اللي كان فيها وفرار + +857 +01:02:16,070 --> 01:02:24,510 +احمل هذه اللي كانت برا وعشوائية وحطها هنا هيك + +858 +01:02:24,510 --> 01:02:31,600 +صارالصفطة aligned بسميها قراعات ليش؟ بقول لأن هذا + +859 +01:02:31,600 --> 01:02:37,040 +الطرف كله سالب وهذا الطرف كله موجنب صح ولا لأ؟ ايش + +860 +01:02:37,040 --> 01:02:41,380 +اللي صفطها؟ المجال الجوه المجال الجوه صفطها طيب جل + +861 +01:02:41,380 --> 01:02:44,240 +يخلينا واحدة واحدة هادي و هادي بيرغوا بعض ولا + +862 +01:02:44,240 --> 01:02:48,030 +بيرغوش بعض طب و هادي و هادي ايه؟هدى فى جنب حاجة + +863 +01:02:48,030 --> 01:02:51,730 +تغيها؟ لأ طب و هدى فى حاجة جنب حاجة تغيها؟ بصير و + +864 +01:02:51,730 --> 01:02:55,850 +كانها جطع هدى شباب صاروا مصطفطين شحنات موجبة و + +865 +01:02:55,850 --> 01:02:59,310 +مصطفطين شحنات سهلة بقدر أقول الآن صار فى مجال + +866 +01:02:59,310 --> 01:03:04,830 +كهربائي جوا جدصار في مجال كهبائي جديد as a result + +867 +01:03:04,830 --> 01:03:09,290 +of this polarization تصفيتها دى polarization it + +868 +01:03:09,290 --> 01:03:13,590 +charges هدول are produces at the faces of the + +869 +01:03:13,590 --> 01:03:17,150 +dielectric with the positive it charges are near + +870 +01:03:17,150 --> 01:03:20,030 +the negative ال positive near the negative و ال + +871 +01:03:20,030 --> 01:03:25,130 +negative near the positive تمام the charge inside + +872 +01:03:25,130 --> 01:03:27,830 +the dielectric cancel each other و بيقول ال charge + +873 +01:03:27,830 --> 01:03:32,460 +في جوا هدول بلغوا بعضبلغه بعد ايش صار عندي؟ + +874 +01:03:32,460 --> 01:03:37,180 +بيقوللي هيك صار وكعينه اللي جوا لقه وخلاص لقه بعد + +875 +01:03:37,180 --> 01:03:43,140 +تمام قاللي حلو الخط الأخضر هذا المجال الكهربائي + +876 +01:03:43,140 --> 01:03:46,960 +قبل ما أحط ال material صح بعد ما حطيت ال material + +877 +01:03:46,960 --> 01:03:51,640 +صار في عندي مجال منموجة بالاساس مجال تاني اتجه + +878 +01:03:51,640 --> 01:03:56,360 +جديد هذا المجال الجديد جوا المادة ال total + +879 +01:03:56,360 --> 01:04:01,460 +electric field أجمع ولا أطرح؟مع بعض ولا عكس بعض؟ + +880 +01:04:01,460 --> 01:04:05,500 +شوف الأصمر و الأخضر شوف الأصمر و الأخضر هدول مع + +881 +01:04:05,500 --> 01:04:09,580 +بعض ولا عكس بعض؟ المجال الكل الآن بديه خس ولا بديه + +882 +01:04:09,580 --> 01:04:17,140 +زيد؟ بديه ينجس المجال هينجس ما زال نزل المجال أدنى + +883 +01:04:17,140 --> 01:04:22,000 +هتشوف السعة هتزيد السعة هتزيد إذا هاي اللي زوج + +884 +01:04:22,000 --> 01:04:28,120 +السعة انه تولد جوا المادة اللي حطتها مجال هذا + +885 +01:04:28,120 --> 01:04:34,650 +المجالمدّس المجال الكلي، these charges create an + +886 +01:04:34,650 --> 01:04:39,850 +electric field سميته E شرطة، اللي هو الأصمر، + +887 +01:04:39,850 --> 01:04:44,450 +opposite to E0 وكان عكس E0، فبيقول ليه، the net + +888 +01:04:44,450 --> 01:04:48,390 +electric field inside the conductor is therefore + +889 +01:04:49,380 --> 01:04:55,380 +صار بيساوي E not نقص E prime طلعت انه معكس بعيد + +890 +01:04:55,380 --> 01:04:59,540 +That is a reduction is occurred in the electric + +891 +01:04:59,540 --> 01:05:03,240 +field صار في عندي نقص في المجال القهوة باعي بس انا + +892 +01:05:03,240 --> 01:05:06,940 +عندي قانون بيقول V بتساوي E في D شباب V بتساوي E + +893 +01:05:06,940 --> 01:05:13,700 +في D D ثبتت E خست اذا هدي V مكسرصح ولا لأ؟ the + +894 +01:05:13,700 --> 01:05:15,620 +potential difference across the capacitor + +895 +01:05:15,620 --> 01:05:21,580 +decreases consequently بيقول اللي فيه عندك بنجس + +896 +01:05:21,580 --> 01:05:28,340 +بهذا الحالة وإذا V بتسوى V not على K برضه نجس برضه + +897 +01:05:28,340 --> 01:05:33,240 +نجس لكن C بيسوى Q على V C بيسوى Q على V هذي نجست، + +898 +01:05:33,240 --> 01:05:39,240 +إيش فعلا دي؟ هذي ليش زادت؟تمام؟ بيقول الـC بيسوي + +899 +01:05:39,240 --> 01:05:42,880 +الـQ على الـV وبنتيجة ال material عطّقتها هذه + +900 +01:05:42,880 --> 01:05:47,560 +نقصة، إذاً هذه زادة وعاد زيد بنفس الثابت and the Q + +901 +01:05:47,560 --> 01:05:51,220 +is constant، بقول الـQ ما اتغيرتش، انت شحمت المكثف + +902 +01:05:51,220 --> 01:05:55,300 +و رميت البطارية، وقعدت بتلعب في المكثف، بتزوج أو + +903 +01:05:55,300 --> 01:05:58,360 +بتغير، قعدت في الوسط العازل، الـQ مش بتوصف فيها زي + +904 +01:05:58,360 --> 01:06:06,940 +ما هي، أحكيبصبوط وقتش بتغير CEO لما بدي ألعب في + +905 +01:06:06,940 --> 01:06:09,660 +تركيبة المكافئة ماعش بصور جاهز، مانا فاطح من + +906 +01:06:09,660 --> 01:06:12,220 +يوتيوب ومانا بلعب فيه وماخد معاك أيه اللي هو وقته، + +907 +01:06:12,220 --> 01:06:16,580 +مانا بغير الوصف العادل جاهز، تمام؟الـ Q is + +908 +01:06:16,580 --> 01:06:21,480 +constant زي معناته C بتساوي Q على V0 بتساوي C0 + +909 +01:06:21,480 --> 01:06:28,120 +وهذا بإثبات على انه C قاعد إثبات للمشاهدة + +910 +01:06:28,120 --> 01:06:32,040 +العملية لصوتها يعني في الأول هما كان عندهم مشاهدة + +911 +01:06:32,040 --> 01:06:37,160 +غير الوضع العازل في خشهة بقى الساعة بتزيد حط بلاسك + +912 +01:06:37,160 --> 01:06:41,340 +الساعة اتغيرت حط ورق الساعة اتغيرتهذا المفهوم في + +913 +01:06:41,340 --> 01:06:45,380 +الأول كان حقيقة خلاص جسد و واقع مافيش فيه مشكلة + +914 +01:06:45,380 --> 01:06:49,380 +صار بدنا نفسر أيش اللي صار فلما فسروا قالوا ان + +915 +01:06:49,380 --> 01:06:54,420 +المجال أصلا اتغير و لما اتغير المجال اتغير الجهود + +916 +01:06:54,420 --> 01:06:58,800 +و نتيجة تغير الجهود اتغيرت السعة لأنه أنا قاعد + +917 +01:06:58,800 --> 01:07:01,980 +بلعب في السعة في هذه الحالة + +918 +01:07:05,870 --> 01:07:08,550 +بقول اللي حكيته انا بس اخر حاجة بقول it should be + +919 +01:07:08,550 --> 01:07:10,510 +noted that a limited value of the potential + +920 +01:07:10,510 --> 01:07:13,110 +difference can be applied across a capacitor بقول + +921 +01:07:13,110 --> 01:07:16,330 +كل capacitor بيقول لك جدش الجهد اللي اقصى اللي + +922 +01:07:16,330 --> 01:07:20,830 +ممكن تدخله عليه if the potential exceeds this + +923 +01:07:20,830 --> 01:07:24,050 +value اذا انت قلت مديش هالكتابة و مش فاهم هالكتابة + +924 +01:07:24,050 --> 01:07:27,090 +كتب لك عشرة volt و حطته في ال breeze اللي هو 220 + +925 +01:07:27,090 --> 01:07:31,210 +volt ايش بيصير؟ the insulating properties of the + +926 +01:07:31,210 --> 01:07:35,560 +bioelectric will break down بتطلع الريحةبتطلع + +927 +01:07:35,560 --> 01:07:39,740 +الريحة لأنه الوسط العازل اتأيان و التأيون هو اللي + +928 +01:07:39,740 --> 01:07:42,640 +بطلع الريحة لأن التأيون بيصير تفاعل كيميائي الشباب + +929 +01:07:42,640 --> 01:07:46,380 +.. بيصير في .. احنا نقول بالعامية انحرج .. و هو + +930 +01:07:46,380 --> 01:07:49,280 +بالعامية مصالح حلو .. انحرج يعني خرب يعني .. بحيث + +931 +01:07:49,280 --> 01:07:51,920 +المعنات .. ارميه .. لإن انحرجه بنرميه .. هو مصالح + +932 +01:07:51,920 --> 01:07:56,660 +عامية يعنيbreakdown and form a conducting medium + +933 +01:07:56,660 --> 01:08:01,120 +صار conducting medium وهي معناه الكبسطار خلف this + +934 +01:08:01,120 --> 01:08:02,960 +limiting value called the breakdown potential + +935 +01:08:02,960 --> 01:08:06,180 +depends on the dielectric strength الكتبتها which + +936 +01:08:06,180 --> 01:08:08,220 +is the maximum value of the electric field that + +937 +01:08:08,220 --> 01:08:12,120 +the dielectric can tolerate without breakdown هذه + +938 +01:08:12,120 --> 01:08:16,220 +مجدرد شهلة تانية هكذا نكون انهينا هذه المحاضرة + +939 +01:08:16,220 --> 01:08:19,520 +ومستنى نفهم ان شاء الله يوم الأحد الجاد + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..4b1c69cf715df165353c2fce468f5a53588e2603 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY_postprocess.srt @@ -0,0 +1,2696 @@ +1 +00:00:09,880 --> 00:00:14,220 +بنسمي باسم الله ونبدأ ال chapter التاسع اللي تحت + +2 +00:00:14,220 --> 00:00:16,900 +عنوان paradise law شباب طبعا قانون paradise من + +3 +00:00:16,900 --> 00:00:21,160 +قوانين جدا مهمة في التقبيقات يعني من أهم قوانين + +4 +00:00:21,160 --> 00:00:25,960 +الكهربا هو قانون paradiseالبروبلينز هي معروفة + +5 +00:00:25,960 --> 00:00:30,700 +ونبدأ نشوف ايش عمل فرداي طبعا فرداي اكتسف الظاهرة + +6 +00:00:30,700 --> 00:00:34,300 +by chance اكتسف الظاهرة by chance كان بيشغل في + +7 +00:00:34,300 --> 00:00:38,400 +المعمل لقى الشغل قاعد عنده بتصير وبدأ يفسر فيها + +8 +00:00:38,400 --> 00:00:42,140 +ايش هي الظاهرة فرداي's law of induction قانون + +9 +00:00:42,140 --> 00:00:46,680 +فرداي طبعا قانون فرداي عمل انقلاب برضه في + +10 +00:00:46,680 --> 00:00:50,300 +التكنولوجيا هي الكهربا من قانون فرداي وعد كل + +11 +00:00:50,300 --> 00:00:56,640 +الكهربا دي أصلها قانون فردايبقول لي we learn that + +12 +00:00:56,640 --> 00:00:59,500 +electric current produces magnetic field هذا + +13 +00:00:59,500 --> 00:01:02,140 +اتعلمناها مش الشحنات المتحابة كانت بتولد مجال + +14 +00:01:02,140 --> 00:01:06,520 +كهربائي مجال مغماطيسي هذه معلومة صارت عندناشحنات + +15 +00:01:06,520 --> 00:01:10,340 +متحركة في الأخر قلنا طيار .. كل طيار بيولد مجال + +16 +00:01:10,340 --> 00:01:14,440 +مغناطيسي ..الآن نريد أن نتأكد أن هذا المجال + +17 +00:01:14,440 --> 00:01:19,240 +المغناطيسي ينتج في بعض الوضع الهواتف الكهربائية .. + +18 +00:01:19,240 --> 00:01:21,520 +الطيار بيولد مجال مغناطيسي ..الآن بينشأ ألعاب ان + +19 +00:01:21,520 --> 00:01:24,840 +المجال المغناطيسي بيجيب طيار .. نرجع .. بيضوج هكذا + +20 +00:01:24,840 --> 00:01:28,490 +..البيضة بتجيبش جاجة طب الجاجة بتجيبش بيضة؟ بتجيب + +21 +00:01:28,490 --> 00:01:32,490 +بس بقى بدها شغلات معينة عشان تجيب البيضة وهي نفس + +22 +00:01:32,490 --> 00:01:35,890 +القضية احنا قلنا في حالتنا البيضة بتبدأ تقول عنها + +23 +00:01:35,890 --> 00:01:39,110 +هي ال electron هي الأصل ال electron هو أصل كل حاجة + +24 +00:01:39,110 --> 00:01:43,490 +هو أصل البيض و هو أصل الجاجة تمام؟ الآن احنا عرفنا + +25 +00:01:43,490 --> 00:01:47,170 +ان الطيار ولد مجال مغناطيسي هتبدي أرجع لمجال + +26 +00:01:47,170 --> 00:01:49,630 +المغناطيسي بدي يوللي ليه طيار ولا لأ؟ و بدنا نشوف + +27 +00:01:49,630 --> 00:01:55,560 +أصله تمامConsider allume ايش اللي حصل مع فرضاه كان + +28 +00:01:55,560 --> 00:01:59,660 +عنده جيلفانوميتر على الطاولة و رابط فيه سيلك هيك و + +29 +00:01:59,660 --> 00:02:02,580 +رميه و قاعد سيلك لافيه كهربا ولا فيه حاجة و + +30 +00:02:02,580 --> 00:02:05,940 +الجيلفانوميتر مأشر على السفر زي ما هم توقع و بقت + +31 +00:02:05,940 --> 00:02:09,760 +شانسة عنده معماطيس كان على الطاولة و بيشغل ان خبط + +32 +00:02:09,760 --> 00:02:13,360 +المغناطيس تطلع الجيلفانوميتر تتحركوالمغناطيس هو + +33 +00:02:13,360 --> 00:02:16,760 +هيتحرك ايه؟ By الشخص التاني We'll consider a loop + +34 +00:02:16,760 --> 00:02:20,940 +of wire that is connected to a galvanometer and a + +35 +00:02:20,940 --> 00:02:24,020 +magnet is moved into the vicinity of the loop + +36 +00:02:24,020 --> 00:02:28,940 +واتحرك عندك مجال مغناطيس بالقرب من هال loop It is + +37 +00:02:28,940 --> 00:02:35,760 +observed that لاحظ التالي وقال لي هاي رسمة فردعي + +38 +00:02:35,760 --> 00:02:40,930 +هدسيك شبابوهذا الـ volumeter وهذا المغلطيس جنبه + +39 +00:02:40,930 --> 00:02:46,070 +هذا واقف وهذا واقف ايش بتتوقع يصير فيش تيار هذه + +40 +00:02:46,070 --> 00:02:52,320 +اول خطوة بيوليإذا كانت كلا اللوب و مبنى + +41 +00:02:52,320 --> 00:02:57,920 +الهيلجيستيكشنري مقاومة مع بعضها البعض فلا يوجد فرق + +42 +00:02:57,920 --> 00:03:01,040 +في جيلفانوميتر وهي مؤشر الجيلفانوميتر بأشر على + +43 +00:03:01,040 --> 00:03:05,100 +زيرو هذه شغلها المنطقية مافيش مشكلة لأنه أنا مافيش + +44 +00:03:05,100 --> 00:03:09,360 +عندي لا بطارية ولا مصدر تيار كهربائي ايه سوى قال + +45 +00:03:09,360 --> 00:03:14,420 +خلينا نشوف الآن حرك المغناطيس ايه صار في + +46 +00:03:14,420 --> 00:03:19,400 +الجيلفانوميتر أشر بدل ما كان زيرو سابد قيمةبدي + +47 +00:03:19,400 --> 00:03:24,700 +قيمة بيقول لي if the loop is held stationary وقفها + +48 +00:03:24,700 --> 00:03:29,700 +دي خليها واقفة حركها while the magnet is moved + +49 +00:03:29,700 --> 00:03:33,400 +toward the loop the velometer will deflect in one + +50 +00:03:33,400 --> 00:03:37,880 +direction أشر يعني في كهربا صح ولا لأ تأشيره دلالة + +51 +00:03:37,880 --> 00:03:41,720 +على أنه في كهربا طيب جاهز طيب خلينا نبعد المعناطيس + +52 +00:03:41,720 --> 00:03:46,520 +لجه في تأشيرة بس بالاتجاه إيش المعاكس بيقوللي الآن + +53 +00:03:46,520 --> 00:03:57,950 +ابعد أشرباتجاه المعاكس بيقولني هنا بس + +54 +00:03:57,950 --> 00:04:01,010 +الحين بنوقفها .. ده ان شاء الله موقفت بنتجه في + +55 +00:04:01,010 --> 00:04:04,230 +موجوده if the magnet is moved away from the loop + +56 +00:04:04,230 --> 00:04:06,790 +the galvanometer will deflect in the opposite + +57 +00:04:06,790 --> 00:04:11,230 +direction تمام؟ جال الآن طيب وقف المغناطيس وحرك ال + +58 +00:04:11,230 --> 00:04:17,900 +loop بالنفس ال observations تيجيبقول لي the same + +59 +00:04:17,900 --> 00:04:22,760 +observations is occurred when the loop is moved + +60 +00:04:22,760 --> 00:04:28,620 +while the magnet is held stationary تمام هذا اكتشف + +61 +00:04:28,620 --> 00:04:33,760 +الفرضاء و بدأ يشتغل يقول ايش اللي خلى الكهربا تبين + +62 +00:04:34,570 --> 00:04:39,470 +ماذا حصل؟ هناك حركة فيها تغير يعني صح ولا لا؟ ماهو + +63 +00:04:39,470 --> 00:04:44,790 +التغير؟ المجال المغناطيسي لجل على الموضوع لا طول + +64 +00:04:44,790 --> 00:04:49,090 +السلك ولا طول ال loop برضه لا لجأ ان اللي غير هو + +65 +00:04:49,090 --> 00:04:55,530 +ال flux ال flux اللي خلال هذه ال loop اذا زاد او + +66 +00:04:55,530 --> 00:05:00,250 +نجس بقشر الجلفانوميتر جال ايش؟ جال هادي لما يبعد + +67 +00:05:00,950 --> 00:05:04,110 +الفلكس عمّاله بينجس لأن ال magnetic field بيخس صح + +68 +00:05:04,110 --> 00:05:06,950 +ولا لأ؟ لأنه كل ما انا ابعد لأن هنا في خطوط مجال + +69 +00:05:06,950 --> 00:05:11,250 +مش من الشمال إلى الجنوب بروح في اختراق لخطوط + +70 +00:05:11,250 --> 00:05:15,590 +المجال هنا اذا فيه flux ابعد الفلكس عمّاله بينجس + +71 +00:05:15,590 --> 00:05:19,490 +لأن ال magnetic field بيجل كل ما انت بتبعد عمّاله + +72 +00:05:19,490 --> 00:05:24,470 +قاعد فيه نقصان ل magnetic flux جرب بتزيد طيب ثبت + +73 +00:05:24,470 --> 00:05:28,970 +هذا و حرك هذه نفس القضية حرك هذه هيك بيجل ال + +74 +00:05:28,970 --> 00:05:32,490 +magnetic fieldحركة باتجاه القرب بزيدي ال magnetic + +75 +00:05:32,490 --> 00:05:37,730 +field إذا صار اللي لجاه فرضاه إن تغير ال magnetic + +76 +00:05:37,730 --> 00:05:42,570 +flux هو الأصل اتغير ال magnetic flux فيه تيار + +77 +00:05:42,570 --> 00:05:46,270 +كهربائي ال magnetic flux كان ثابت مافيش تيار + +78 +00:05:46,270 --> 00:05:52,650 +كهربائي من هذه الملاحظات واحدة تؤكد بأن حركة تنتج + +79 +00:05:52,650 --> 00:05:55,030 +حركة في حركة كهربائي في حركة كهربائي في حركة + +80 +00:05:55,030 --> 00:05:57,590 +كهربائي in the loop as long as there is relative + +81 +00:05:57,590 --> 00:06:02,020 +motion between the loop and the magnetالطيار بعد + +82 +00:06:02,020 --> 00:06:05,940 +كده اتفقوا ايش يسموه قالوا بنسميه طيار طب اننا عم + +83 +00:06:05,940 --> 00:06:08,320 +بنعمل في هذا الطيار طبعا البطارية قالوا خلوا + +84 +00:06:08,320 --> 00:06:12,220 +الطيار مستحث هذا سموه لأنه مش جاي من بطارية مالوش + +85 +00:06:12,220 --> 00:06:17,160 +قبو خلنا نقول سحثات such a current is called the + +86 +00:06:17,160 --> 00:06:22,180 +induced current طيب الطيار عرفنا انه جاي من انف من + +87 +00:06:22,180 --> 00:06:25,460 +قوة دافعة كهربية ولا لأ تبعت البطارية قالوا طب هذه + +88 +00:06:25,460 --> 00:06:29,020 +بدي قوة دافعة كهربية برضه سموها ال induced inf + +89 +00:06:30,250 --> 00:06:34,130 +وصولته تسمى الـ Induced Imph الشيء الظاهر تولد + +90 +00:06:34,130 --> 00:06:35,610 +تيار من تغيّر لفلكس هذه الظاهرة سموها + +91 +00:06:35,610 --> 00:06:42,130 +Electromagnetic Induction الشيء الظاهر تولد تيار + +92 +00:06:42,130 --> 00:06:46,490 +من تغيّر لفلكس هذه الظاهرة سموها Electromagnetic + +93 +00:06:46,490 --> 00:06:51,030 +Induction الشيء الوحيد اللي هي production of + +94 +00:06:51,030 --> 00:06:54,090 +electric current from changing magnetic flux هو + +95 +00:06:54,090 --> 00:07:00,690 +Electromagnetic Inductionميكل فارداي حد هذه ال + +96 +00:07:00,690 --> 00:07:04,730 +observation في قانون شباب قانون رياضي يعتبر + +97 +00:07:04,730 --> 00:07:09,070 +considered as one of the fundamental laws in + +98 +00:07:09,070 --> 00:07:12,350 +electromagnetic induction هم أربع قوانين هذا أصلهم + +99 +00:07:12,350 --> 00:07:15,750 +في ماكسوين وفي قانون جاس وقانون فارداي من القوانين + +100 +00:07:15,750 --> 00:07:21,760 +الرئيسية في الجهرومانسية وحتى في العلوم كلهاقال ان + +101 +00:07:21,760 --> 00:07:29,580 +الاندوس انف هو مقارنة لرقم تغيير الهواء المجنوني + +102 +00:07:31,350 --> 00:07:35,450 +الإنف بيسوي سالب دي فاي على دي تي هد عدد اللي فات + +103 +00:07:35,450 --> 00:07:39,150 +هجد دي فاي على دي تي شباب لو فاي ثابتة و روحها + +104 +00:07:39,150 --> 00:07:44,310 +تفضل تتثابت إيش بيطلع؟ Zero إذا مافيش طيار صح هد + +105 +00:07:44,310 --> 00:07:48,330 +فاي تغيرت فضلها إلها قيمة طبعا التفاضل له حالتين + +106 +00:07:48,330 --> 00:07:51,790 +لا بيطلع موجب لا بيطلع سالب شباب إذا فاي بتزيد و + +107 +00:07:51,790 --> 00:07:57,290 +فضلتها بيطلع موجب ولا سالب إذا بيزيد موجبتمام؟ + +108 +00:07:57,290 --> 00:08:00,510 +تفاضلي نقصانه في الدنيا سالب واذا five thing us + +109 +00:08:00,510 --> 00:08:04,750 +تفاضلها سالب طبعا هذا السالب حاطوليش؟ قالوا عشان + +110 +00:08:04,750 --> 00:08:07,570 +تظبط معايا مبدأ ال conservation of energy احنا + +111 +00:08:07,570 --> 00:08:11,130 +هنشرحها و لينز فسرها .. مظبوط؟ + +112 +00:08:13,560 --> 00:08:16,300 +الجهد المتولد يعني .. الجهد المتولد ما هو مش شيط + +113 +00:08:16,300 --> 00:08:18,900 +فيه طيار .. انت شوف الطيار في دي البنوميطات؟ طب + +114 +00:08:18,900 --> 00:08:21,640 +الطيار هو بنفع يكون في طيار اللي فيه قاعدة + +115 +00:08:21,640 --> 00:08:24,860 +الشحنات؟ و الشحنات مين بيحركها؟ فرق جهود .. إذا ما + +116 +00:08:24,860 --> 00:08:27,960 +بدي فرق جهود فهذا فرق الجهود يسمون ال Inf .. ال + +117 +00:08:27,960 --> 00:08:31,360 +induced Inf تمام؟ انا هنشرح منهم الأصل إيه .. + +118 +00:08:31,360 --> 00:08:37,020 +تمام؟أذا هذا هو فرضاي عدد اللفات جيب ال flux اللي + +119 +00:08:37,020 --> 00:08:40,160 +أخدناه في الشكل الماضي لسه أخر حاجة جيب ال flux + +120 +00:08:40,160 --> 00:08:44,180 +فاضي و بعدين تطلع معاك النتيجة طبعا ال flux مش هو + +121 +00:08:44,180 --> 00:08:48,780 +اللي أخدناه بساوية تكامل P.DA تمام طبعا we are + +122 +00:08:48,780 --> 00:08:52,160 +under the number of lands in the world for uniform + +123 +00:08:52,160 --> 00:08:55,500 +magnetic field ده اللي يفترض أنه P is uniform و + +124 +00:08:55,500 --> 00:09:00,620 +أنت بتعرف أن ال flux بساوية تكامل P.DA لو هاد + +125 +00:09:00,620 --> 00:09:01,080 +uniform + +126 +00:09:05,080 --> 00:09:10,360 +انت كامل ال دي ايه؟ ايه؟ بيقولي اذا كانت بي is + +127 +00:09:10,360 --> 00:09:12,520 +uniform بيصير هاي ال flux الدورة بالراجل حطت + +128 +00:09:12,520 --> 00:09:16,900 +cosine ثيتا صح؟ عشان فاية كل متغيرة بيكفيني واحد + +129 +00:09:16,900 --> 00:09:21,180 +من التلاتة هدول يتغير ولا لأ؟ غير بي، اتغيرت ال + +130 +00:09:21,180 --> 00:09:24,480 +flux، غير ال area، اتغيرت ال flux، غير ثيتا، + +131 +00:09:24,480 --> 00:09:29,180 +اتغيرت ال flux هل جيت محطة القهربة ولا ال + +132 +00:09:29,180 --> 00:09:33,020 +generator اللي في دارك، ايش بيغير؟ بيغير ثيتا + +133 +00:09:33,920 --> 00:09:38,880 +بتتولد الكحبة عشان كده هذا القانون هو فكرة عمل كل + +134 +00:09:38,880 --> 00:09:42,240 +ال generators اللي في الدنيا where theta is the + +135 +00:09:42,240 --> 00:09:43,840 +angle between the magnetic field and the area + +136 +00:09:43,840 --> 00:09:47,400 +بيقول هي اشتغل هاي قانونك هتجد ايش الثابت و ايش + +137 +00:09:47,400 --> 00:09:51,620 +المتغير حسب طبعا انت بكفيك واحد تتغير from this + +138 +00:09:51,620 --> 00:09:54,380 +explanation we conclude that an induced emf can be + +139 +00:09:54,380 --> 00:10:00,460 +created if eitherB A or θ or a combination of them + +140 +00:10:00,460 --> 00:10:03,380 +vary with time ممكن يكون اتنين منهم او التلاتة + +141 +00:10:03,380 --> 00:10:07,840 +كلهم مع بعض يتغيروا لكن انا بيكفيني واحد يتغير بدي + +142 +00:10:07,840 --> 00:10:12,800 +افترض ان θ اللي بتتغير بس θ اللي اتغيرت صار ال inf + +143 +00:10:12,800 --> 00:10:21,660 +بالساوي ناقص in B ثابتة وA ثابتة D على DT cos θ + +144 +00:10:21,660 --> 00:10:31,380 +مظبوطة او لا يا شباب؟ من يفضل ليها؟سالب هك انا + +145 +00:10:31,380 --> 00:10:34,700 +بفضل عن نسمة لفيتا ولا نسمة ل T ال implicit + +146 +00:10:34,700 --> 00:10:42,420 +function وراح و لا خدته طار اذا هدى فى كمال هدى + +147 +00:10:42,420 --> 00:10:48,820 +omega طيب + +148 +00:10:48,820 --> 00:10:55,160 +طلعت بالساوي سالب in b a omega sin feta او omega T + +149 +00:10:56,740 --> 00:11:01,840 +هذه صين فيتا اللى بتسوق مجافته عشان كده بتطلع عندك + +150 +00:11:01,840 --> 00:11:06,700 +طيار متردد لأن فيتا بتتغير ممكن تكون صفر جدي الصين + +151 +00:11:06,700 --> 00:11:10,980 +صفر صفر ممكن تكون تسعين جدي الصين تسعين واحد مصبوط + +152 +00:11:10,980 --> 00:11:14,680 +ولا لأ اذا العملية صار الطيار اللى بيجيك بيجيك + +153 +00:11:14,680 --> 00:11:19,920 +رسمته صينورسمة ال sign هو التيار المتردد اذا هاي + +154 +00:11:19,920 --> 00:11:24,020 +فكرة عمل ال generator تبعتي عشان كده بيجيني ال + +155 +00:11:24,020 --> 00:11:29,000 +generator ال voltage متردد alternating والتيار + +156 +00:11:29,000 --> 00:11:33,680 +تبعانقله برضه alternating من اين؟ من ال sign هذه + +157 +00:11:33,680 --> 00:11:37,240 +لان انا غيرت ال cosine و ال cosine بيجي sign ورسمة + +158 +00:11:37,240 --> 00:11:40,480 +ال sign و ال alternating كلمة مش هاي اشارته هاي + +159 +00:11:40,480 --> 00:11:45,890 +اشارة من ال sign او اشارة ال cosine كله واحدالـ + +160 +00:11:45,890 --> 00:11:49,670 +minus sign في قانون فلوديا هو تتبع لقوة التحفة + +161 +00:11:49,670 --> 00:11:54,250 +للطاقة هذه فكرة بسيطة جدا ان عمل منها كل الدنيا كل + +162 +00:11:54,250 --> 00:11:57,810 +الكهربا اللي انتوا شايفينها بالتطور اللي شفناه كله + +163 +00:11:57,810 --> 00:12:01,390 +جاي منها بكون جوا ال generator المطور اللي جوا + +164 +00:12:01,390 --> 00:12:05,190 +عنكم فيه مغناطيس طبعا هي قطب شمال و قطب جنوبي + +165 +00:12:05,190 --> 00:12:09,930 +بالتالي خطوط المجال بيثبتوها هذه ال loopهذه + +166 +00:12:09,930 --> 00:12:15,170 +اللوبيت بيكلف طبعا انا بيهمني بدي مصدر للدوران بدي + +167 +00:12:15,170 --> 00:12:19,290 +طاقة حركة انه هذا بيلف بيجيب في حركة و هذا بيلف + +168 +00:12:19,290 --> 00:12:22,370 +كيف هذا جيلفانوميترا بيروح هيك و بيروح هيك بيروح + +169 +00:12:22,370 --> 00:12:25,870 +هيك و بيروح هيك طبعا بيروح بالاتجاهين و عامل رسمة + +170 +00:12:25,870 --> 00:12:34,590 +كيف انهالـ V تتحرك لأن ال area إذا كانت هذه ال + +171 +00:12:34,590 --> 00:12:38,550 +loop هيك، معناته فيها 90 درجة، وإذا ال loop هيك، + +172 +00:12:38,550 --> 00:12:43,480 +معناته إزالة إما 0 أو 180، وبتضلها تلفكل اللى بدي + +173 +00:12:43,480 --> 00:12:47,040 +عشان اولد كهربا بضل بدي طاقة حركة طبعا احنا خدنا + +174 +00:12:47,040 --> 00:12:50,020 +من زمان انه انا بدي الرياح ممكن استخدمها عشان يجيب + +175 +00:12:50,020 --> 00:12:55,200 +حركة الشللات الميه بالذات لأنه قوة اندفاع الميه + +176 +00:12:55,200 --> 00:12:59,260 +ممكن تديك حركة بالاضافة الى السرر والبنزين والطاقة + +177 +00:12:59,260 --> 00:13:03,360 +النووية كل هذه الأمور انا بدي طاقة حركةبتخلي هذا + +178 +00:13:03,360 --> 00:13:06,840 +الملف لف مازال لف في مجال مغناطيسي اتغير ال theta + +179 +00:13:06,840 --> 00:13:10,940 +على طول بيجي ال volumeter بدي طيار قهوبائي ال + +180 +00:13:10,940 --> 00:13:13,400 +generators بيكون كاتبين عليه اللي احنا بيقول عنه + +181 +00:13:13,400 --> 00:13:16,680 +كيلو تلاتة كيلو خمسة كيلو بيكونوش حاطين watt شباب + +182 +00:13:16,680 --> 00:13:22,240 +بيكونوا حاطين KVA KVA volt ampere طبعا انت لما + +183 +00:13:22,240 --> 00:13:25,840 +تيجي علميا ال volt ampere ماهو wattالولت امبير هو + +184 +00:13:25,840 --> 00:13:30,980 +watt ماهو مش I في V power ال power بتسوي I في V + +185 +00:13:30,980 --> 00:13:35,960 +هذه امبير وهذه volt اذا ال ampere volt هو watt + +186 +00:13:35,960 --> 00:13:40,800 +كيلو امبير volt كيلو watt لكن ليش بيستخدموها لإنه + +187 +00:13:40,800 --> 00:13:45,620 +شوية في بعض الكهربا بيعرفوها لما ياخدوا ال circuit + +188 +00:13:45,620 --> 00:13:49,730 +في الذات و ال machines في هذه الأمورالاكتر باور ال + +189 +00:13:49,730 --> 00:13:52,270 +real power عشان يميزوا بيها و يقولوا خلوا هذا + +190 +00:13:52,270 --> 00:13:56,570 +الوقت البوار راضي واحدة تانية فسموها ال volt + +191 +00:13:56,570 --> 00:14:00,970 +ampere طبعا كلكم عارفين انه لما احنا نقول ال + +192 +00:14:00,970 --> 00:14:03,970 +generator طبعنا خليني نقول تلاتة كيلو بتقدروا + +193 +00:14:03,970 --> 00:14:07,450 +تطلعوا تلاتة كيلو منه؟ لأ بالتالي يكون لازم اضغطها + +194 +00:14:07,450 --> 00:14:11,000 +في 0.8 غالبا اللي هي factor powerال factor power + +195 +00:14:11,000 --> 00:14:14,120 +فبالتالي غالبا اللي بقدر استغله انا من ال + +196 +00:14:14,120 --> 00:14:16,880 +generator اقل من المكتوب عليه عشان كده هم في + +197 +00:14:16,880 --> 00:14:19,760 +المصنع بيخش cash بيقولك هذا مش watt هذا kilo volt + +198 +00:14:19,760 --> 00:14:23,280 +ampere لو احد المعلومة عنده بديه بيقولك انت مواشي + +199 +00:14:23,280 --> 00:14:27,040 +افرادات الفرق زي ما حكينا انه في active power و في + +200 +00:14:27,040 --> 00:14:30,860 +real power و في اللي بيسموها ال imaginary power ال + +201 +00:14:30,860 --> 00:14:34,140 +generator قبل kilo و ال generator قبل عشرة kilo في + +202 +00:14:34,140 --> 00:14:37,340 +واحد منهم بيديك volt اكتر من التانيلا ماتنين + +203 +00:14:37,340 --> 00:14:40,760 +بيديكوا 220 vote صح ولا لأ؟ اذا وين الفرق؟ بديك + +204 +00:14:40,760 --> 00:14:44,190 +أمبير أكترو الأنبير لما يكون أكتر احنا ماتفقين من + +205 +00:14:44,190 --> 00:14:47,510 +أول هو اللي بيخليك تخلي ال power أكتر لأنه انا + +206 +00:14:47,510 --> 00:14:51,550 +عندي I في V V ثابت للجميع بدل I كل ما زاد الأنبير + +207 +00:14:51,550 --> 00:14:55,710 +عشان كده مرة كنا بنتحدث مع تعوين شركة الكهربا انه + +208 +00:14:55,710 --> 00:14:59,730 +كان من أحد الحلول اللي قاعدين بيفكروا فيها انه بدل + +209 +00:14:59,730 --> 00:15:04,430 +ما نقطع على منطقة كان أيام اتناشر ساعة و يجيبوننا + +210 +00:15:04,430 --> 00:15:07,670 +ست ساعات يقولوا لأ نجيبها في بعض مناطق ما نقطعاش + +211 +00:15:07,670 --> 00:15:11,680 +كامل بس ندينهم أنبير جليلطبعا لما تديك أنبير قليل + +212 +00:15:11,680 --> 00:15:15,440 +معناه تقدرش تشغل السخان تقدرش تشغل المكوية او ال + +213 +00:15:15,440 --> 00:15:18,840 +condition تقدر تضوي تشغل التلفزيون لأنه بصير .. + +214 +00:15:18,840 --> 00:15:22,360 +لما زال الأنبير قليل وجهه يوارح بصير الوقت اللي + +215 +00:15:22,360 --> 00:15:25,840 +انت بتقدر تاخدها قليلة فطبعا كانت .. بس بيجيها + +216 +00:15:25,840 --> 00:15:30,040 +مشاكل خلنا نقول فنية كيف يقدروا يتحكموا بالأنبير + +217 +00:15:30,040 --> 00:15:33,500 +اللي داخل على البيوت في حارة معينة او في مدينة + +218 +00:15:33,500 --> 00:15:37,360 +معينة ساعتها طبعا لما تجللوا الأنبير بدل ما يعطوا + +219 +00:15:37,360 --> 00:15:41,650 +حارة ممكن يعطوا كل الحاراتبنفس الطاقة و تكون توزعت + +220 +00:15:41,650 --> 00:15:44,530 +صح و كان في هذه الاقتراح لو يقدروا تبقوا كتير أحسن + +221 +00:15:44,530 --> 00:15:49,350 +بمعنى أخر انا في النهاية بأرضى تعطيني عشر ساعات + +222 +00:15:49,350 --> 00:15:53,730 +أمبير جليل و أربعة عشر ساعات أمبير كبير ليش انا + +223 +00:15:53,730 --> 00:15:56,450 +بالعشر ساعات انا بدي أبوي أشغل ال computer تبعي + +224 +00:15:56,450 --> 00:16:01,850 +أشغل تلفزيوني أشغل هوايتيبراشة اقول عندي رافة هي + +225 +00:16:01,850 --> 00:16:07,790 +اشغل condition و اشغل مكوية و تتأجر يعنى فلو طب قد + +226 +00:16:07,790 --> 00:16:10,870 +كانت كتير ميحة الفكرة بس يبدو ان في موقعات فنية + +227 +00:16:10,870 --> 00:16:14,210 +لإن انت عارفين احنا في الآخر ال motor تبعنا اللي + +228 +00:16:14,210 --> 00:16:18,550 +بنجيبه أغلب ده قاصر علينا ان يشغله كل حاجة فبقى + +229 +00:16:18,550 --> 00:16:21,150 +انا أجيبه من بلدية او من شركة القهرابة كان أحسن + +230 +00:16:21,150 --> 00:16:24,210 +ليه كان من ضمن الأفكار اللي كانوا يفكروا فيها لكن + +231 +00:16:24,210 --> 00:16:30,120 +ماعرفوش تطبقوها تمامخلّينا نحل على فرضائي طبعا هم + +232 +00:16:30,120 --> 00:16:34,640 +متفاهمين يا شباب قانون فرضائي هو قانون تطبيقاته + +233 +00:16:34,640 --> 00:16:39,280 +أهم من انه يعني اعتبره قانون وحل عليه أنثى لكن في + +234 +00:16:39,280 --> 00:16:42,060 +النهاية ما انتوا عارفين احنا بناخد أصل العلم + +235 +00:16:42,060 --> 00:16:46,100 +وبالتالي بيهمنا ال science تبعه التطبيقات زي ما + +236 +00:16:46,100 --> 00:16:51,890 +تول حكينا التطبيقات الأصلية ككمهندسين بتهتموا + +237 +00:16:51,890 --> 00:16:55,050 +بالتقبيق بس برضه بيبقوا الميز ما بين مهندس و + +238 +00:16:55,050 --> 00:16:59,170 +technician يعني بالنهاية المهندس بيفرج عن ال + +239 +00:16:59,170 --> 00:17:01,530 +technician فيش ال technician بيطبق و مرات مالوش + +240 +00:17:01,530 --> 00:17:05,030 +دعوة بين نظرية كيف تشتغل ال technician بيعرف انه + +241 +00:17:05,030 --> 00:17:07,910 +والله هذه الجينالية تخربان ان انت بتودوله مهندس + +242 +00:17:07,910 --> 00:17:10,630 +ولا لوحد يمكن الله يعلم خلص اعدادي ولا مش خلص + +243 +00:17:10,630 --> 00:17:13,380 +اعداديوبيعمل ال generator ايش بده يفرج على + +244 +00:17:13,380 --> 00:17:16,880 +المهندس؟ المهندس من جوا التركيبة نفسه العلم تبع ال + +245 +00:17:16,880 --> 00:17:19,720 +generator لازم يكون عارفه ومن هنا بتيجي الامور + +246 +00:17:19,720 --> 00:17:23,180 +اللي احنا بتركز عليها أصل العلم قعدنا هنشوف فردايس + +247 +00:17:23,180 --> 00:17:27,540 +بعد ما عمل كان شغل للعلماء مش انه فردايس عمل ظاهرة + +248 +00:17:27,540 --> 00:17:33,420 +وصح واستغلوها كان همهم واش اللي جاب الكهربا؟من وين + +249 +00:17:33,420 --> 00:17:37,040 +إجت الكهربا؟ نظريا علميا إيش إيجاد بالكهربا؟ و + +250 +00:17:37,040 --> 00:17:40,060 +قعدنا هنشرح كيف إيجاد الكهربا بقينها بيقول أكل + +251 +00:17:40,060 --> 00:17:43,900 +طبعا كل معناتها ملف شباب اكل قعدنا هنسميه inductor + +252 +00:17:43,900 --> 00:17:47,360 +الاسم العلمي إيه؟ اذاك في ال capacitor إيه اسمين؟ + +253 +00:17:47,360 --> 00:17:51,370 +capacitor وcondenserالكندنسر للاسم اللغوي التجاري + +254 +00:17:51,370 --> 00:17:57,750 +كباسيتر للاسم العلمي ايجا الاسم اللغوي الاسم + +255 +00:17:57,750 --> 00:18:01,690 +العلمي له اندكتور المحاذة بيسموها فهدك اندكتور هد + +256 +00:18:01,690 --> 00:18:05,990 +كول لسه مااخدناش اندكتور فراح لللغة كول معناتها + +257 +00:18:05,990 --> 00:18:11,950 +ملف a call consist of 200 turns في 200 لفةكل مجلد + +258 +00:18:11,950 --> 00:18:16,290 +هو مجلد عمودي وكل لفة عامل مربع مدّيك ال site تبعه + +259 +00:18:16,290 --> 00:18:19,150 +انت عارف انتي جيه مساحة المربع؟ انت عارف انتي جيه + +260 +00:18:19,150 --> 00:18:22,070 +مساحة المربع؟ and a uniform magnetic field + +261 +00:18:22,070 --> 00:18:24,610 +perpendicular to the plane of the coil بيقول ال + +262 +00:18:24,610 --> 00:18:28,590 +magnetic field عمودي على هذه المربع و هيك ال + +263 +00:18:28,590 --> 00:18:30,910 +magnetic field يعني ماجدتش ازاوي بين ال area و + +264 +00:18:30,910 --> 00:18:35,070 +magnetic field؟ zero لأن ال magnetic field عمودي و + +265 +00:18:35,070 --> 00:18:40,970 +ال area عمودية اصلا من تعريفها تمامis termed such + +266 +00:18:40,970 --> 00:18:47,750 +that ΔB بيتساوي 0.5 تسلا in 0.8 second في 18 + +267 +00:18:47,750 --> 00:18:52,710 +second تغيرت ΔB نص تسلا يعني ΔB على ΔT الدنيا + +268 +00:18:52,710 --> 00:18:56,050 +جاهزة ايه بتبقى قطر قانون حكينا هذا مثال اي كلام + +269 +00:18:56,050 --> 00:19:07,390 +solution بيقولنا ماقص inب في a cos θ نقص in a cos + +270 +00:19:07,390 --> 00:19:11,690 +θ db على dt cos θ في الباب واحد لأن θ هو zero من + +271 +00:19:11,690 --> 00:19:19,270 +التعريف db على dt هي نفسها delta b على delta tدلتا + +272 +00:19:19,270 --> 00:19:21,710 +بي على دلتا تي بيسوي او point five على او point + +273 +00:19:21,710 --> 00:19:25,130 +eight بس عوض و طلع النتيجة طلعت اربعة point one + +274 +00:19:25,130 --> 00:19:30,390 +volt تمام كمان مثال برضه سهل جدا بيقول للمجال + +275 +00:19:30,390 --> 00:19:34,770 +المعاطيسي الآن شباب يعطاك يوم متغير ويله علاقة + +276 +00:19:34,770 --> 00:19:38,210 +vary with time according to high B بيسوي بيه + +277 +00:19:38,210 --> 00:19:41,910 +maximum ايه؟ طب هو minus alpha في T إذا بيه متغير + +278 +00:19:41,910 --> 00:19:46,390 +ويله علاقة بالزمن بتقدر تفضله ال exponential تعرف + +279 +00:19:46,390 --> 00:19:50,390 +تفضلهكلكم بتعرفوا ايه تبقى ناقص alpha x بتفضلها + +280 +00:19:58,210 --> 00:20:01,590 +إذا أنا بدأ فاضل هنا مش أكتر بقول a loop of wire + +281 +00:20:01,590 --> 00:20:05,690 +of area A is placed in a magnetic field + +282 +00:20:05,690 --> 00:20:08,090 +perpendicular to the plane of the loop برضه + +283 +00:20:08,090 --> 00:20:10,190 +perpendicular to the plane of the loop يعني زي و + +284 +00:20:10,190 --> 00:20:14,490 +Zero برضه تمام the magnetic field B varies with + +285 +00:20:14,490 --> 00:20:18,890 +time according to أطلق قيمة B as a function of T + +286 +00:20:18,890 --> 00:20:21,810 +مطلقش اللي فاضل what is the induced emf in the + +287 +00:20:21,810 --> 00:20:26,450 +loop برضه طبعاهو طبق قانون Faraday again the area + +288 +00:20:26,450 --> 00:20:31,950 +is constant والزاوية صفر اصلا اللى متغير هو B قال + +289 +00:20:31,950 --> 00:20:37,550 +فاضل بيه فما هي بيه يعني ببلش وكأن سؤالتها فاضل + +290 +00:20:37,550 --> 00:20:41,050 +يعنى سهل فاضل طلع يجيب بهذا النتيجة مافيش اي + +291 +00:20:41,050 --> 00:20:45,300 +اشكاليةتمام قعدنا لما نشتغل على lenses low فى بس + +292 +00:20:45,300 --> 00:20:48,120 +مشكلة فى ال direction نتعلم نجيب ال direction أما + +293 +00:20:48,120 --> 00:20:50,900 +ال magnitude مجرد تفاضل مافيش اي صعوبة فى قانون + +294 +00:20:50,900 --> 00:20:55,440 +فرضاي كتفبيق عليه مافيش فى اي صعوبة تمام emotional + +295 +00:20:55,440 --> 00:21:02,960 +inf ال inf اللى توي حكينا عنه من وين إجه الآن زى + +296 +00:21:02,960 --> 00:21:07,500 +ما اتفقنا القضية كانت من وين إجهة الكهربا + +297 +00:21:12,290 --> 00:21:15,970 +عشان انا افهم من وين جت الكهربا بدي ابدأ اشوف ايش + +298 +00:21:15,970 --> 00:21:19,030 +اللي بصير لما ال magnetic reflex تغير ايش اللي صار + +299 +00:21:24,120 --> 00:21:28,520 +الظاهرة اللى اكتسبها فرضاي وحطلها قانون حتى + +300 +00:21:28,520 --> 00:21:31,320 +القانون لحد الآن مقنعش العلماء بيقول لك ال flux + +301 +00:21:31,320 --> 00:21:35,100 +لما يتغير ايش جاب الكهربا الكهربا المعلومة اللى + +302 +00:21:35,100 --> 00:21:38,280 +عندي انا ان الالكترونات بتتحرك ايش الحركة + +303 +00:21:38,280 --> 00:21:42,360 +الالكترونات عشان يجي الفنومة ترقشر اذا لابد من + +304 +00:21:42,360 --> 00:21:46,980 +شغلة صارتحركة الإلكترون عشان كده الجيلفانومتر + +305 +00:21:46,980 --> 00:21:50,400 +اتحرك وحركة الإلكترون بيتحافظ على حركة الإلكترون + +306 +00:21:50,400 --> 00:21:55,020 +وإن كان راحة الكهربا كما بقول خلّينا نشرح نظريا + +307 +00:21:55,020 --> 00:21:58,880 +إيش اللي بيصير معايا consider أرد قال جيب سيليك + +308 +00:21:58,880 --> 00:22:03,340 +طبعا سيليك كوندكتر عشان وإيه لأ ممش تيار منه + +309 +00:22:03,340 --> 00:22:09,250 +كوندكتروكانت قطعة طولة L تتحرك بسرعة V في مجال + +310 +00:22:09,250 --> 00:22:14,930 +مغناطيسي B تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة + +311 +00:22:14,930 --> 00:22:15,050 +V تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك + +312 +00:22:15,050 --> 00:22:15,430 +بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V + +313 +00:22:15,430 --> 00:22:19,330 +بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V + +314 +00:22:19,330 --> 00:22:24,630 +تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك + +315 +00:22:24,630 --> 00:22:28,410 +بسرعة V تتحرك + +316 +00:22:31,100 --> 00:22:34,020 +هذه السيليكون اما لو بيمشي جواته فران ولا لأ؟ + +317 +00:22:34,020 --> 00:22:37,720 +ذاكرين الفران؟ الفران بيتحرك او بيتحركوش؟ لما هو + +318 +00:22:37,720 --> 00:22:41,700 +يتحرك، بيتحرك و بيجيه معاه، تمام؟ هل جاتي + +319 +00:22:41,700 --> 00:22:44,500 +الالكترونات هدا كوندكتر؟ في الكترونات حرة ولا لأ؟ + +320 +00:22:44,500 --> 00:22:49,820 +جواته، في طب هم بيمشوا، اول ما خش هان، في عندي + +321 +00:22:49,820 --> 00:22:55,120 +زمان قانون يقولي F magnetic بتساوي Q، V cross ال + +322 +00:22:55,120 --> 00:22:59,550 +B، ذاكرينها يا شباب؟حكاني في علومة في شرط 9 انسو + +323 +00:22:59,550 --> 00:23:03,350 +فرضاي هالجيت بيقول لأي شحنة متحركة في مجال + +324 +00:23:03,350 --> 00:23:07,890 +مغناطيسي تتأثر بقوة مغناطيسية صح ولا لأ؟ إذا هذه + +325 +00:23:07,890 --> 00:23:09,910 +الإلكترون اللي كان ماشي أول ما خدش على مجال + +326 +00:23:09,910 --> 00:23:14,370 +مغناطيسي في حد الآن أثر عليه بقوة نيجي نحسبها و + +327 +00:23:14,370 --> 00:23:18,030 +نشوف اتجاهها معينة فيها هذه الإلكترون إذا هي سالب + +328 +00:23:18,030 --> 00:23:25,330 +إيه؟ متفقين؟ V كيف اتجاهها شباب؟ I وهذه سالب K مش + +329 +00:23:25,330 --> 00:23:31,380 +into the beigeسالب سالب روحت I cross K سالب G إذا + +330 +00:23:31,380 --> 00:23:35,900 +القوة وين بدها تودي تحت تحت تحت تحت تحت تحت تحت + +331 +00:23:35,900 --> 00:23:36,980 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +332 +00:23:36,980 --> 00:23:37,160 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +333 +00:23:37,160 --> 00:23:37,540 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +334 +00:23:37,540 --> 00:23:38,160 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +335 +00:23:38,160 --> 00:23:38,880 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +336 +00:23:38,880 --> 00:23:39,240 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +337 +00:23:39,240 --> 00:23:43,000 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +338 +00:23:43,000 --> 00:23:47,900 +تحت تحت تحت تحت تحت تحت تحت + +339 +00:23:50,680 --> 00:23:55,700 +هذه أصلها صار في عندي هنا سالب وهنا موجب صار عندي + +340 +00:23:55,700 --> 00:24:00,240 +بطارية خطوط سالب خطوط موجب هذه أصل القضية كلها + +341 +00:24:01,540 --> 00:24:05,500 +أعيدها بالكتابة بيقولي هو طول ال و بمشي ايش بيصير + +342 +00:24:05,500 --> 00:24:08,780 +بيقولي the free electron اللي هم اللي هم معاهم في + +343 +00:24:08,780 --> 00:24:11,740 +الراين جوا inside the rod will experience a + +344 +00:24:11,740 --> 00:24:15,020 +magnetic force هيأثروا عرفيهم اتأثروا بقوة + +345 +00:24:15,020 --> 00:24:19,220 +مغناطيسية هيواجهوا قوة مغناطيسية according to + +346 +00:24:19,220 --> 00:24:22,900 +قانون chapter 29 اللي احنا عارفين هم مندعوا عن + +347 +00:24:22,900 --> 00:24:31,560 +فرضاي بيقولي FM بتسوي QV X B كيو سلب B لإلكترون V + +348 +00:24:31,560 --> 00:24:36,440 +باتجاه I صح cross سلب K صح طريقة نقل الشيء الان + +349 +00:24:36,440 --> 00:24:41,980 +فهمت انا ان الإلكترونات فيها حد بيجبرهم ينزلوا تحت + +350 +00:24:41,980 --> 00:24:46,240 +هالإلكترون نزل تحت البروتونات يصل فيه ويطلع فوق + +351 +00:24:46,240 --> 00:24:53,900 +انفصلوا مين انفصلهم القوة المغناطسيةانفصلوا صار في + +352 +00:24:53,900 --> 00:24:59,520 +عندهم قطب موجة بقطب سالب صح ولا لأ؟ جيب سلك و حط + +353 +00:24:59,520 --> 00:25:03,060 +جيلفانوميتر و اعمل هيك ايش بتوصيف هذا؟ بده يمشي + +354 +00:25:03,060 --> 00:25:06,780 +هيك ولا لأ؟ اصلا في الجيلفانوميتر؟ اشر، رصب لعنه، + +355 +00:25:06,780 --> 00:25:11,120 +اذا هاي التفسير العلمي للظاهر التفرضعي انه + +356 +00:25:12,120 --> 00:25:16,460 +الإلكترونات اللى جوا اللى كانت ماشية بخطرها وماحد + +357 +00:25:16,460 --> 00:25:22,260 +مشبرها اجى اول ما اتحركت في مجال مغناطيسي فُصلت + +358 +00:25:22,260 --> 00:25:28,680 +فُصلت وصار عندى قطب موجة بقطب سالب تمام الان + +359 +00:25:28,680 --> 00:25:35,190 +اتفصلوا بهذا الشكلالان بيقولي the electrons then + +360 +00:25:35,190 --> 00:25:39,110 +accumulate at the lower end of the rod بتجمعوا تحت + +361 +00:25:39,110 --> 00:25:43,350 +leaving a net positive at its upper end و ال + +362 +00:25:43,350 --> 00:25:46,390 +positive بتطلع فوق إذا صار في عندك قطب سالب و قطب + +363 +00:25:46,390 --> 00:25:51,750 +موجب صرت هيك انت هنا طيب لأ انت بتفضل هادي قوللي + +364 +00:25:51,750 --> 00:25:55,670 +ولا حاجة مش أسهل منها انت أول ما فصلت صار في عندك + +365 +00:25:55,670 --> 00:26:00,700 +مجال كهربائي ولا ماصارش جوا ال rodالمجال الكهربائي + +366 +00:26:00,700 --> 00:26:05,600 +مش مروح من الموجب للسالب، إذا في الأول كان فيه + +367 +00:26:05,600 --> 00:26:08,480 +مجال كهربائي بس عشوائي، رايح تسافر، أول ما انفصل + +368 +00:26:08,480 --> 00:26:14,930 +وصار في عندك مجال كهربائي بهذا الشكل، هذا إيه؟أول + +369 +00:26:14,930 --> 00:26:18,270 +إلكترون أول ما دخل كان أثر عليها مجال مغناطيسي + +370 +00:26:18,270 --> 00:26:22,550 +انفصل تمام تاني إلكترون صار عنده مجالين بأثره عليه + +371 +00:26:22,550 --> 00:26:25,790 +المجال المغناطيسي و المجال الكهربائي اللي اتولد + +372 +00:26:25,790 --> 00:26:30,750 +صار في عنده قوتين إذا قوة مغناطيسية و بتنزل و تحت + +373 +00:26:30,750 --> 00:26:36,230 +و قوة كهربائية F E بتساوي Q في ال E ولا لأ شباب + +374 +00:26:36,230 --> 00:26:43,940 +ذكرينه على القانون طيب هذا إلكترونهذه بيكون عكس + +375 +00:26:43,940 --> 00:26:47,840 +هذه ولا لأ؟ هذه كيف اتجاهها؟ لأسفل، إذا هذه كيف + +376 +00:26:47,840 --> 00:26:52,240 +بيكون اتجاهها؟ لأعلى، إذا إيه تكون قوة لأعلى؟ + +377 +00:26:52,240 --> 00:26:55,760 +القوة الموتصية لأسفل، القوة الكهربية لأعلى، هال + +378 +00:26:55,760 --> 00:26:59,840 +gate إذا تنتين القوة تساوى، ال net force إيش بيصير + +379 +00:26:59,840 --> 00:27:06,250 +فيها؟ بجفهادي من وين اجت من فصل الإلكلونات افصل + +380 +00:27:06,250 --> 00:27:10,590 +إلكلون و بروتون في E طب كمين زادت E تلاتة إلكلون و + +381 +00:27:10,590 --> 00:27:14,330 +بروتون زادت E عملها E ماها بالـC فيها الجهة بتزيد + +382 +00:27:14,330 --> 00:27:18,790 +لما هادي اتصير سوى هذا بجف بس وقت إيش بعد ما يكون + +383 +00:27:18,790 --> 00:27:21,210 +فصللي عدد من الإلكلونات و عدد من البروتونات ولا لأ + +384 +00:27:21,210 --> 00:27:24,690 +يعني بالآخر صار في عنده قطب موجب و قطب سالب هي + +385 +00:27:24,690 --> 00:27:28,750 +الأصل تباع الكهربية بس أعيده الكلام مكتوب اللي أنا + +386 +00:27:28,750 --> 00:27:33,630 +حكيته الآن باللغة العدميةبنحكيها باللغة العلمية + +387 +00:27:33,630 --> 00:27:37,730 +بيقول as a result of this charge separation نتيجة + +388 +00:27:37,730 --> 00:27:41,550 +هذا ال separation ما بين الإلكيونات والبروتونات a + +389 +00:27:41,550 --> 00:27:46,130 +net electric field will be set up inside the rod + +390 +00:27:46,130 --> 00:27:50,690 +صار في عندك مجال كهربائي داخل ال rod وهي اتجاهه من + +391 +00:27:50,690 --> 00:27:55,570 +الموجة بالسالب من الموجة بالسالب طيب therefore + +392 +00:27:55,570 --> 00:28:01,720 +free electronsالان سيكون تأثيرا عن طاقة إلكترونية + +393 +00:28:01,720 --> 00:28:05,880 +في أضافة إلى طاقة مجنونة + +394 +00:28:09,020 --> 00:28:13,600 +بيقول لي اتشارج or it charges continue to build up + +395 +00:28:13,600 --> 00:28:16,580 +at the ends of the rod until the two forces + +396 +00:28:16,580 --> 00:28:21,440 +balanced بيبقى الإلكمات تفصل لما القوة الكهربية + +397 +00:28:21,440 --> 00:28:24,280 +تساوي القوة المغمطسية بعد كده الإلكمات و بوتومات + +398 +00:28:24,280 --> 00:28:28,260 +بتجاف و بيبقى في حركة at this point motion of it + +399 +00:28:28,260 --> 00:28:32,490 +chargesتتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +400 +00:28:32,490 --> 00:28:32,650 +تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +401 +00:28:32,650 --> 00:28:34,730 +تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +402 +00:28:34,730 --> 00:28:39,470 +تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +403 +00:28:39,470 --> 00:28:42,710 +تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +404 +00:28:42,710 --> 00:28:48,020 +تتوقف، تتوقف، تتوقف، تتوقفأبطب بدائرة مغلقة، مش + +405 +00:28:48,020 --> 00:28:51,280 +الطيار صافي عندك كهربا، ضورت دواو، اتي ال + +406 +00:28:51,280 --> 00:28:54,940 +volumeter اتحرك وكل الأمور اللي بدك إياها وصلت، + +407 +00:28:54,940 --> 00:28:59,260 +إذا الأصل من وين إجت الكهربا، نرجع للبيع + +408 +00:28:59,260 --> 00:29:03,760 +بالإلكترون، الإلكترون هو بتحرك، انفصل، فعنفاق + +409 +00:29:03,760 --> 00:29:07,740 +جهود، طلع الكهربا، إذا أصل الكهربا، أصل معنى توصية + +410 +00:29:07,740 --> 00:29:12,050 +هو الإلكترون، برجع بنفس المبدأده اللي فابعى اللي + +411 +00:29:12,050 --> 00:29:15,830 +احسبها نيجي نحسبها و بعدين نقولها فرضايا حسبها و + +412 +00:29:15,830 --> 00:29:19,410 +نشوف قانون فرضايا صح و لا .. to calculate this inf + +413 +00:29:19,410 --> 00:29:22,430 +بقولي انت كم انت حسبها انت قولتي اللي وقفت الأمور + +414 +00:29:22,430 --> 00:29:26,210 +و وقتش وقفت مش لما القوة القهربية ساوة القوة + +415 +00:29:26,210 --> 00:29:29,590 +المغناطسية ساوى القواتين اللي انت حسبتهم ها قوة + +416 +00:29:29,590 --> 00:29:32,390 +المغناطسية و ها قوة القهربية حسبهم ساويهم مع بعض + +417 +00:29:33,120 --> 00:29:35,700 +بقول if you calculate this info we have from the + +418 +00:29:35,700 --> 00:29:39,180 +equilibrium condition ان السبيل يصبح بعض FM + +419 +00:29:39,180 --> 00:29:43,000 +magnetic force equal electric force magnetic force + +420 +00:29:43,000 --> 00:29:52,020 +هي الشباب E في V في B E في V في B وهي بتسوي E في + +421 +00:29:52,020 --> 00:29:58,930 +capital A Q في Eتمام؟ هذه الله صاحب عليها جبت + +422 +00:29:58,930 --> 00:30:02,210 +المجال الكهربائي المجال الكهربائي اللي هو بذأبة + +423 +00:30:02,210 --> 00:30:04,750 +بالسرعة و بالمجال المغناطيسي طبعا لأن المجال + +424 +00:30:04,750 --> 00:30:07,650 +الكهربائي جاي من ال separation كل ما كانت أسرع ال + +425 +00:30:07,650 --> 00:30:09,530 +separation بيكون أكبر و كل ما كان المجال + +426 +00:30:09,530 --> 00:30:12,670 +المغناطيسي أكبر ال separation بيكون أكبر تمام؟ قال + +427 +00:30:12,670 --> 00:30:15,430 +لي أنت أنا مابديش المجال الكهربائي أنا مابدي الجهد + +428 +00:30:15,430 --> 00:30:20,230 +في علاقة بين الجهد و المجال الكهربائي V بالساوي + +429 +00:30:20,230 --> 00:30:22,730 +سالب تكامل E ضد ال DL ذاكرينه؟ + +430 +00:30:25,360 --> 00:30:29,260 +بتجيبه اعتبر ان E is uniform اذا فرق الجهد بيساوي + +431 +00:30:29,260 --> 00:30:33,380 +E في L E في L و L هو طول السلك موجود عند طول السلك + +432 +00:30:33,380 --> 00:30:36,540 +بقول since the electric field is uniform inside + +433 +00:30:36,540 --> 00:30:39,740 +the rod the potential difference across the rod is + +434 +00:30:39,740 --> 00:30:44,700 +related to this electric field according to فرق + +435 +00:30:44,700 --> 00:30:48,480 +الجهد اللي هو الانف اللي بتدور عليه بيساوي E لحسب + +436 +00:30:48,480 --> 00:30:53,300 +كبطوله بيقوله L E في L بيساوي V في L في B هاي + +437 +00:30:53,300 --> 00:30:57,130 +الانفقالوا احنا حسبناها استخدمت قانون فرداي لان + +438 +00:30:57,130 --> 00:31:00,850 +هنا ما استخدمتش قانون فرداي هي طلعت انف و بيقول + +439 +00:31:00,850 --> 00:31:04,330 +ماهيش فرداي بيقول فرداي انت حاطة انها قانون جيبلي + +440 +00:31:04,330 --> 00:31:07,870 +نفس الانف و جيبلي من قانون فرداي اذا طلعت نفسي + +441 +00:31:07,870 --> 00:31:10,710 +نتيجة معاكت قانون فرداي ان انا حاط صح مظبوط ولا لأ + +442 +00:31:10,710 --> 00:31:14,590 +هنا مااستخدمتش فرداي بمرة انا استخدمت قوة كهربية + +443 +00:31:14,590 --> 00:31:17,610 +في الشطر الأول و قوة المغناطسية في الشطر التسعة و + +444 +00:31:17,610 --> 00:31:22,510 +عشرين ثواتهم مع بعض طلعت الانفمع غلاقة الجهود مع + +445 +00:31:22,510 --> 00:31:26,990 +المجال القنضائي اللي أخدته في chapter 25 و إشتغلته + +446 +00:31:26,990 --> 00:31:30,710 +طلعت الانف بقول الآن بدي أطبق نفس الشغلة بس + +447 +00:31:30,710 --> 00:31:33,790 +باستخدام قانون فرضائي الان عرفنا أول مصدر ال + +448 +00:31:33,790 --> 00:31:37,970 +induced inf شباب من حركة الإلكترونات جوا المجال + +449 +00:31:37,970 --> 00:31:41,870 +المغناطيسي انفصل الإلكترونات صار في عندي potential + +450 +00:31:41,870 --> 00:31:45,190 +difference between the end of the conductor و صار + +451 +00:31:45,190 --> 00:31:54,510 +في عندي induced infهذه الاختلافات تبقى محفوظة على + +452 +00:31:54,510 --> 00:31:58,990 +طرفي الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +453 +00:31:58,990 --> 00:31:59,990 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +454 +00:31:59,990 --> 00:32:01,710 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +455 +00:32:01,710 --> 00:32:01,870 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +456 +00:32:01,870 --> 00:32:02,390 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +457 +00:32:02,390 --> 00:32:04,870 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +458 +00:32:04,870 --> 00:32:07,550 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +459 +00:32:07,550 --> 00:32:13,460 +طوارئ الطرق طوارلأ لو مااتحركش ال rod بصيرش انفصال + +460 +00:32:13,460 --> 00:32:19,240 +لإن اللي خلّى الانفصال لإن الكيونات بتتحرك يوة + +461 +00:32:19,240 --> 00:32:23,460 +بسرعة ما مافيش حركة مافيش قوة مجلسية مافيش قوة + +462 +00:32:23,460 --> 00:32:26,780 +كهربية وبالتالي مافيش اي inf عشان كده يسموها + +463 +00:32:26,780 --> 00:32:30,820 +motional inf مش مهمة اسمها بقولي الآن بدي أشتغل + +464 +00:32:30,820 --> 00:32:35,000 +على فرضاه الفرضاه إيش هو فرضاه قال هذا ال rod روحت + +465 +00:32:35,000 --> 00:32:38,240 +بدي أربطه بجه ال vanometer عشان أربطه بجه ال + +466 +00:32:38,240 --> 00:32:43,140 +vanometer بدي أجيب سلكطبعا في إمكانية طيار انت تحس + +467 +00:32:43,140 --> 00:32:47,580 +فيه بدون a closed circuit اذا بدك a closed circuit + +468 +00:32:47,580 --> 00:32:49,860 +عشان تحس فيه اعمل ال closed circuit اعملت ال + +469 +00:32:49,860 --> 00:32:52,740 +closed circuit اول ما عملت ال closed circuit صار + +470 +00:32:52,740 --> 00:32:57,350 +في عندك surface high surfaceساعتها بتقول الفرضية + +471 +00:32:57,350 --> 00:33:00,230 +اه انت بتاكل ال flux اللي هنا الآن احسب ال flux + +472 +00:33:00,230 --> 00:33:04,310 +هذه مساحة طبعا مافيش مجال انك تاخد طيار الا لما + +473 +00:33:04,310 --> 00:33:06,990 +يكون عندك closed loop وما زال في closed loop صار + +474 +00:33:06,990 --> 00:33:10,470 +فيه عندك surface وصار فيه إمكانية تحسب ال flux ثم + +475 +00:33:10,470 --> 00:33:13,030 +بيقول let us now prove the last equation اللي + +476 +00:33:13,030 --> 00:33:16,420 +حسبتهاUsing Faraday's law بدي اشتغل مع فردايا يعني + +477 +00:33:16,420 --> 00:33:20,340 +consider now the road is sliding ال road بدي امشي + +478 +00:33:20,340 --> 00:33:26,340 +along conducting rails ع سكة من السلك such that it + +479 +00:33:26,340 --> 00:33:29,500 +forms a closed loop هاي أنا كان في عنده خطوط موجب + +480 +00:33:29,500 --> 00:33:32,660 +و الأن انت تشوف ايش بيصير أول ما سكرتها الدائرة + +481 +00:33:32,660 --> 00:33:36,710 +مشيك مشيتأول ما سكرت الدائرة لإن كان في عندى + +482 +00:33:36,710 --> 00:33:39,570 +بروترون قطب موجب و قطب سالب بتتنافع من الموجب + +483 +00:33:39,570 --> 00:33:41,910 +بتلعب على السالب، بتمشي، مشت الصرف في طيار ولا + +484 +00:33:41,910 --> 00:33:45,190 +ماصارش فيه طيار؟ اتحركت الvalvometer لإن اتحركت + +485 +00:33:45,190 --> 00:33:50,010 +الشحنات و الطيار هو حركة الشحنات طبعا انا جيت مشيت + +486 +00:33:50,010 --> 00:33:53,830 +البروترون شباب عشان الطيار by convention is the + +487 +00:33:53,830 --> 00:33:56,930 +motion of positive charges بقى فمشيت البروترون، + +488 +00:33:56,930 --> 00:33:59,390 +مشي البروترون صار في عندي حركة بدي أحسبها الآن + +489 +00:34:01,010 --> 00:34:04,110 +بيقول add the area of the loop عشان انا دي بreflex + +490 +00:34:04,110 --> 00:34:09,770 +بيسوي بي ضط ال a بي ضط ال a بي uniform هو و ال + +491 +00:34:09,770 --> 00:34:16,910 +area مش هي عبارة عن طول بعرض الطول ال و عرض X ضط + +492 +00:34:16,910 --> 00:34:22,130 +product بتديني كساني في تا الزاوية zero شباب لإن + +493 +00:34:22,130 --> 00:34:26,310 +ال بي هيك و ال area هيك إذن الزاوية zero وظل عندي + +494 +00:34:26,310 --> 00:34:29,750 +اشغل متغير و ال circle أصفر بتحرك ال area بتبقى + +495 +00:34:29,750 --> 00:34:35,450 +ثابتةزي معناته هنا المتغير ايش ال area احنا قولنا + +496 +00:34:35,450 --> 00:34:39,830 +فرضاء بيشتغل اتغيرت بيه اتغيرت ال area اتغيرت + +497 +00:34:39,830 --> 00:34:44,210 +الزاوية او كلهم مع بعض انا الآن بدي اغير ال area + +498 +00:34:44,210 --> 00:34:49,530 +هي اتغيرت ال area بقول ال area بتسوي الف X بس X + +499 +00:34:49,530 --> 00:34:55,850 +ثاته لا X بالثاته فضلها بقولي في بتسوي بي في ال + +500 +00:34:55,850 --> 00:35:00,050 +area و ال area بتسوي الف Xحيث يتغير الوثء في الوثء + +501 +00:35:00,050 --> 00:35:03,610 +في الوقت التي تتحرك الوثء في الوثء في الوقت التي + +502 +00:35:03,610 --> 00:35:04,130 +تتحرك الوثء في الوقت التي تتحرك الوثء في الوقت + +503 +00:35:04,130 --> 00:35:05,050 +التي تتحرك الوثء في الوقت التي تتحرك الوثء في + +504 +00:35:05,050 --> 00:35:07,130 +الوقت التي تتحرك الوثء في الوقت التي تتحرك الوثء + +505 +00:35:07,130 --> 00:35:08,170 +في الوقت التي تتحرك الوثء في الوقت التي تتحرك + +506 +00:35:08,170 --> 00:35:08,210 +تتحرك الوثء في الوقت التي تتحرك الوثء في الوقت + +507 +00:35:08,210 --> 00:35:10,010 +التي تتحرك الوثء في الوقت التي تتحرك الوثء في + +508 +00:35:10,010 --> 00:35:19,270 +الوقت التي تتحرك الوثء في الوقت التي تتحالقانون + +509 +00:35:19,270 --> 00:35:23,450 +الأول طلع plv فرضاي طلع سالب plv الفرق سالب + +510 +00:35:23,450 --> 00:35:27,190 +والسالب فالتك من قصته نشرحها بعدين اذا نفس القانون + +511 +00:35:27,190 --> 00:35:32,790 +طلع من فرضاي اذا هاي قصة ال motion الامف وهي أصل + +512 +00:35:32,790 --> 00:35:37,390 +العلمى لظاهرة فرضاي وكيف اتولد التيار هذا اللى + +513 +00:35:37,390 --> 00:35:42,290 +شوفناه من حركة ولحركة ايش سوت فى الإلكيونات وكيف + +514 +00:35:42,290 --> 00:35:46,710 +خلتها تتحرك و تبقى ماشية ويعمل فرق جهود ماشى بهذا + +515 +00:35:46,710 --> 00:35:47,550 +الشكل + +516 +00:35:54,350 --> 00:36:00,190 +هجيب طبعا صراحة ان المعلومة بتقول التالي كل سيلك + +517 +00:36:00,190 --> 00:36:04,830 +معدني كوندكتر بتتخرج في مجال مغناطيسي بيصير بين + +518 +00:36:04,830 --> 00:36:09,090 +طرفينهفرق جهود طب عن هذه الشغلة خوفت العلماء في + +519 +00:36:09,090 --> 00:36:12,710 +الأول ليش؟ قالوا هو انت نسوش ان القوة الأرضية فيها + +520 +00:36:12,710 --> 00:36:15,190 +مجال مناطيسي ولا مافيش فيها مجال مناطيسي؟ فيها + +521 +00:36:15,190 --> 00:36:18,270 +مجال مناطيسي قالوا إذا كل واحد يتحرك بدي أمسك و + +522 +00:36:18,270 --> 00:36:22,230 +أتكهرب أنا؟ بده هيك الصير، بدي أتكهرب طب عما حصن + +523 +00:36:22,230 --> 00:36:26,810 +الحظ انت لما تمسك حاجة للراديو بتتكهرب ليش؟ عشان + +524 +00:36:26,810 --> 00:36:32,070 +الفرطية جليلة تمام؟ لكن لو مسكت انت .. حطتهم هنا + +525 +00:36:32,070 --> 00:36:37,510 +ومسكتهم بتبقى كذا عايش؟بتقول تمام بالتالي اذا كان + +526 +00:36:37,510 --> 00:36:40,050 +عندى جهود بعين عملته اتحمله فيه جهود ماقدرش اتحمله + +527 +00:36:40,050 --> 00:36:46,690 +جاله طبعا انا ال inf اللي حسبته انا وياكم يتساوي + +528 +00:36:46,690 --> 00:36:52,490 +بي L في V هذي بي خلنا نقول المجال المرتيس للقوة + +529 +00:36:52,490 --> 00:36:59,490 +الأرضية ايه المقدار 0.35 اقل خمس دولتين حوالى تلت + +530 +00:36:59,490 --> 00:37:05,330 +اظنحتى يعني مقدار صغير و إل طول أي رد و فيه + +531 +00:37:05,330 --> 00:37:08,650 +الصراعة طبعا كل ما زادت الصراعة شباب كل مهدي زادت + +532 +00:37:08,650 --> 00:37:12,250 +صح ولا لأ كان الخوف وين جالك إشيش شغلات سريعة جدا + +533 +00:37:12,250 --> 00:37:16,520 +جالو الطياراتخافوا من الطيارات قالوا جناح الطيارة + +534 +00:37:16,520 --> 00:37:19,860 +ما هو رد و غالبا بيسمعوا مني الألمنيوم مظبوط ولا + +535 +00:37:19,860 --> 00:37:24,700 +لا؟ الالمنيوم كوندكتر قالوا هذا لو كان بيمشي بسرعة + +536 +00:37:24,700 --> 00:37:27,580 +كبيرة و طلع فرق جنود كبير معناته من الخاف على + +537 +00:37:27,580 --> 00:37:31,320 +شغلات كتيرة لذا عملوا حسابات بسيطة و شافوا جدش + +538 +00:37:31,320 --> 00:37:35,220 +بيركون حتى لو طيارة الكونكورد اللي بطلت تمشي اللي + +539 +00:37:35,220 --> 00:37:37,100 +زمان كانت تمشي و بطلوها اذا كنتوا عارفتوا كده + +540 +00:37:37,100 --> 00:37:41,710 +السطحةكانت تمشي بسرعة الصوت لأ كانت تعمل إزعاج + +541 +00:37:41,710 --> 00:37:46,030 +كانت عشان البيئة سكروها يعني ماكانش كل المطارات + +542 +00:37:46,030 --> 00:37:50,390 +تسمح لها تمشي لإنه انزولها واطلعوها واطلعوها بدوا + +543 +00:37:50,390 --> 00:37:55,910 +مشكلة يعني سرعة ضخمة وكان ممكن مطار كينيدي ومطار + +544 +00:37:55,910 --> 00:37:59,950 +عدة مطارات تسمح لهذه الطائرات كانت طبعا في إلها + +545 +00:37:59,950 --> 00:38:04,720 +كتير ميزة إنه المسافة ما بين أوروبا وأمريكااختصرت + +546 +00:38:04,720 --> 00:38:08,040 +الى حد كبير لكن فى الآخر برضه قبل منا كام سنة + +547 +00:38:08,040 --> 00:38:11,960 +ماعرفش انتوا ادركتوا او مادركتوش انا ذاك انه كانت + +548 +00:38:11,960 --> 00:38:15,840 +اخر رحلة الها و بعد كده قعدوها قاعدوها بطلوا + +549 +00:38:15,840 --> 00:38:23,450 +طيروها اتقعدتكانت طبعا هي مشروع أوروبي فرنسي + +550 +00:38:23,450 --> 00:38:28,090 +بريطاني كان الصنيعات في فرنسا كانت الأصل في الآخر + +551 +00:38:28,090 --> 00:38:32,350 +المهم جاعدت لانه مشاكل بيئية كانت يعمل دوشة كبيرة + +552 +00:38:32,350 --> 00:38:35,790 +جدا وبالتالي لازم المطار يكون فيش حوالي سكان من + +553 +00:38:35,790 --> 00:38:39,050 +مسافات طويلة عشان يسمحوه لتروح فكتير من المطارات + +554 +00:38:39,050 --> 00:38:41,790 +خصوصا في البلدان الصغيرة زي لما نقول مثلا والله + +555 +00:38:41,790 --> 00:38:47,450 +خلنا نقول مطار رفح تبعناأدي مثال طب هو على بعد + +556 +00:38:47,450 --> 00:38:51,750 +يمكن نص متر نص كيلو فيه سكان ولا خلينا نقول موجة + +557 +00:38:51,750 --> 00:38:56,050 +صغيرة احنا دولنا العربية وحتى الدول الأوروبية لأ + +558 +00:38:56,050 --> 00:39:00,630 +انت القاهرة مثلا شوف مثلا بيروت ولا شوف مثلا + +559 +00:39:00,630 --> 00:39:03,830 +الدوحة ولا شوف المنامة ولا شوف الدوحة كلهم هم مقدش + +560 +00:39:03,830 --> 00:39:07,290 +كلهم لكن في مثلا في بعض بودنس زي أمريكا مقارة + +561 +00:39:07,290 --> 00:39:11,470 +أمريكا ممكن أحطه المطار تبعها ويكون أقرب سكنممكن + +562 +00:39:11,470 --> 00:39:14,890 +يكون بعد خمسين كيلو يعني مثلا اللي شاف مثلا في جده + +563 +00:39:14,890 --> 00:39:19,710 +المطار ال legit تبعهم تمشي عدة كيلومترات عشان تحس + +564 +00:39:19,710 --> 00:39:24,050 +انه في سكان لسه ففي مساحات لكن في المدن الصغيرة زي + +565 +00:39:24,050 --> 00:39:28,910 +بيروت ولا الدوحة ولا المنامة صغيرة حتى الدول + +566 +00:39:28,910 --> 00:39:32,030 +الأوروبية يعني الدول الأوروبية مشكلتها أغلبها + +567 +00:39:32,030 --> 00:39:36,810 +تفتقر إلى المساحات الواسعة يعني انتوا عارفين أكبر + +568 +00:39:36,810 --> 00:39:39,090 +دولة أوروبية من حيث المساحة مين؟ + +569 +00:39:42,940 --> 00:39:46,200 +مساحتا فرنسا و أسبانيا فاعتقوا من روسيا .. روسيا + +570 +00:39:46,200 --> 00:39:48,520 +بالعادية مش روسيا بالعادية بالنسبة للعالم .. احنا + +571 +00:39:48,520 --> 00:39:51,360 +بنقول عن أوروبا خصوصا الغربية .. أسبانيا و فرنسا + +572 +00:39:51,360 --> 00:39:56,630 +جرا بعض .. بس قديش بشكله من مصر .. نص مصرشوف أكبر + +573 +00:39:56,630 --> 00:40:00,990 +دولة أوروبية مساحتا نص مصر مصر مليون بتعرفوها + +574 +00:40:00,990 --> 00:40:03,930 +فرنسا و أسبانيا بحدود نص مليون نص مليون و شويه + +575 +00:40:03,930 --> 00:40:07,750 +صغيرة اللي هو أكبر مساحات في أوروبا ألمانيا + +576 +00:40:07,750 --> 00:40:13,270 +تلاتمية وكسور يعني حوالي تلت مصر ألمانيا بهذه + +577 +00:40:13,270 --> 00:40:16,350 +الضخامة بعد ما اتوحدت كان زمان ألمانيا ألمانيا + +578 +00:40:16,350 --> 00:40:19,130 +الشرقية و ألمانيا الغربية بعد ما اتوحدت ألمانيا + +579 +00:40:19,130 --> 00:40:24,770 +مساحة تلت مصرفدعوة واموية برضه مشكلتها ان مساعتها + +580 +00:40:24,770 --> 00:40:25,110 +صغيرة + +581 +00:40:28,280 --> 00:40:31,720 +و هذه شغلات تانية في كل التطور عندهم في أمور كتيرة + +582 +00:40:31,720 --> 00:40:36,460 +يعني مش بس العلم و بس في أمور كتيرة فمن المهم لما + +583 +00:40:36,460 --> 00:40:41,000 +يعسبوها لجفاق جنوب بين جناحي الطيارة برضه قليل جدا + +584 +00:40:41,000 --> 00:40:44,760 +بيخوفش وبالتالي بعد ما قالوا مافيش خوف طبعا اللي + +585 +00:40:44,760 --> 00:40:47,900 +ساعد ان المجال المغناطيسي تبع القولة الأرضية صغيرة + +586 +00:40:47,900 --> 00:40:51,480 +و هذه شغلات ربانية بيقولوا ربنا مقدر لكل الأمور + +587 +00:40:51,480 --> 00:40:57,840 +وإلا ماكنش فيه عيشة لبيادمين كتيرةفطبعا انتوا + +588 +00:40:57,840 --> 00:41:02,720 +عارفين انه المجال الكهربائي و لا مجال المعطيسي عند + +589 +00:41:02,720 --> 00:41:05,900 +حد معين بعدين بيخوف يعني زي ما احنا بنعرفه انتوا + +590 +00:41:05,900 --> 00:41:10,820 +بتاعون الكهربا بيعرفوا في عيننا بتسمع خط عالي و خط + +591 +00:41:10,820 --> 00:41:13,540 +واطي في الكهربا ضغط عالي و ضغط عالي بتسمعوا فيها + +592 +00:41:13,540 --> 00:41:18,140 +ولا لأ وكان فيه انك معلومة بتكون دقيقة و مش دقيقة + +593 +00:41:18,140 --> 00:41:21,440 +ان الضغط العالي بيخوف او بيخوفش وشغلات ثانية طبعا + +594 +00:41:21,900 --> 00:41:26,600 +هو بيخوف بوقتاش لإن هو الدقت العالى بتعرفوا ليش + +595 +00:41:26,600 --> 00:41:28,760 +بيعملوا الدقت عالى؟ انتوا وصلتوا عنكم المعلومة ولا + +596 +00:41:28,760 --> 00:41:35,460 +لسه؟ ليش بيعملوا الدقت عالى؟ موليه؟ لأ لأ بيقلل + +597 +00:41:35,460 --> 00:41:39,040 +الفاقد بيقلل الفاقد يعني بيقولك انا لما انجلوا من + +598 +00:41:39,040 --> 00:41:42,020 +محطة الكهرة بلدارك انا ماشي خلينا نقول عشرين + +599 +00:41:42,020 --> 00:41:45,520 +تلاتين كيلو طبعا هذه الأسلاك اللي انا ماشي فيها + +600 +00:41:45,520 --> 00:41:48,760 +مقاومة من السفر ماهي أسلاك من الحاس في النهاية في + +601 +00:41:48,760 --> 00:41:53,980 +مقاومة ال I تربيع في ال R شبابهذه ال power اللي + +602 +00:41:53,980 --> 00:41:59,180 +تفقد هذي R من السفر نظريا سفر لكن هي إلا قيمة طبعا + +603 +00:41:59,180 --> 00:42:03,460 +لما تكون هذه طويلة هذه R إلها قيمة معقولة بالتالي + +604 +00:42:03,460 --> 00:42:06,720 +طول ما أنت ماشي قاعد طاقة بتفقدها قالوا إيش يسوي + +605 +00:42:06,720 --> 00:42:11,700 +قالوا اعمل فرق جهود بتقلي ال I بتعلي فرق الجهود + +606 +00:42:11,700 --> 00:42:16,850 +بتقلي ال Iبتقلي الآل و تربحها بالجيل الأكتر بقلي + +607 +00:42:16,850 --> 00:42:20,430 +الفاقد فبالتالي بتساعد على انك انت لما تنقل الطيار + +608 +00:42:20,430 --> 00:42:24,310 +من مكان لا بعيد اعمل ضغط عالي بعدين بسيطة جيب ال + +609 +00:42:24,310 --> 00:42:28,750 +Trans نزل ال 220 يخش على البيوت ال 220 لكن عشان + +610 +00:42:28,750 --> 00:42:31,670 +كده طبعا المعلومة اللي برضه لازم يعرفها المهندسين + +611 +00:42:31,670 --> 00:42:34,830 +الكهربا ان الضغط العالي له limit لأنه اذا ازاد عن + +612 +00:42:34,830 --> 00:42:38,990 +حد معين الهوى اللي حوالينه بتأين و اذا اتأين صار + +613 +00:42:38,990 --> 00:42:41,250 +في خطر على كل الكائنات اللي حواليه يعني ان بصير + +614 +00:42:41,250 --> 00:42:44,440 +الطائر اول ما يتربحبتكهرب وانت إذا طلعت حاجة بلا + +615 +00:42:44,440 --> 00:42:48,500 +كونة بتروح لإنه بيكون جنبك يعني واسألك مرات اللي + +616 +00:42:48,500 --> 00:42:51,340 +ساكنين في الشوارع العامة خاطر ال .. الضغط العالي + +617 +00:42:51,340 --> 00:42:53,520 +بيكون جنبك خصوصا إذا كانت ساكنة على التالت و لا + +618 +00:42:53,520 --> 00:42:56,760 +على الرابع بيكون جنبك بالتالي لازم يكون في حظين + +619 +00:42:56,760 --> 00:43:00,640 +عندهم ات معين مايكونش جادر يأيني الهوى اللي + +620 +00:43:00,640 --> 00:43:04,020 +حواليها فالضغط العالي معمول عشان هيك ان يقلن + +621 +00:43:04,020 --> 00:43:07,700 +الفاقد بس مديش هنا أموت الناس بديكون في حسابات + +622 +00:43:07,700 --> 00:43:13,730 +كتيرة في هذه القضية هذههذا مثال قال لك هذه بتشبه + +623 +00:43:13,730 --> 00:43:16,690 +أيش؟ قال لي ال helicopter بتعرفوها؟ تجاه ال + +624 +00:43:16,690 --> 00:43:19,890 +helicopter مش هو عبارة عن جناح بلُف قال لي خليني + +625 +00:43:19,890 --> 00:43:23,430 +أشوف إيش بدي اتولد فرق جهد بين طرفي الجراح ال .. + +626 +00:43:23,430 --> 00:43:26,010 +طبعا الهواية لو اللي بتلف برضه لو إن مجال + +627 +00:43:26,010 --> 00:43:29,290 +المغناطيسي على العرض كبير بيصير بتتكهرب الهواية + +628 +00:43:29,290 --> 00:43:33,330 +لأنهم بيبتتحرك في مجال المغناطيسي وكل حاجة بتتحرك + +629 +00:43:33,330 --> 00:43:36,830 +في مجال المغناطيسي ويكون في فرق جهد بس طبعا نحوصنا + +630 +00:43:36,830 --> 00:43:40,140 +حد أن فرق الجهد بيكون فعيف جدابيصيحوا يتعرضوا + +631 +00:43:40,140 --> 00:43:44,900 +معاها و بيكونوا اقل يعني الجهد اللي بيكون اتولد + +632 +00:43:44,900 --> 00:43:48,220 +مرات اقل من جهدها بحجر الراديو خصوصا لما يكون + +633 +00:43:48,220 --> 00:43:52,360 +الهواية الطيارة يدوب اللي بسرعة كبيرة فكيف الهواية + +634 +00:43:52,360 --> 00:43:55,800 +اللي بتكون سرعتها جليلة بيقول هنا conducting bar + +635 +00:43:55,800 --> 00:43:59,300 +of length L rotates with a constant angular speed + +636 +00:43:59,300 --> 00:44:03,260 +omega about one inch يعني هذا بيلوف شباب زي ما + +637 +00:44:03,260 --> 00:44:07,440 +حكينا هذا جناح من جانحين الهواية او جناح من جانحين + +638 +00:44:07,440 --> 00:44:11,360 +طيارة الهولوكابترانا انفضت من هنا وانفضت من هنا + +639 +00:44:11,360 --> 00:44:16,060 +وانفضت من هنا وانفضت من هنافي حركة وهذا conductor + +640 +00:44:16,060 --> 00:44:20,820 +وفي مجال مغناطيسي إذا بدى يكون فيه عندى انثى + +641 +00:44:20,820 --> 00:44:23,340 +القانون اللى موجود عندنا لإن بديش أننا نضمن أشتاق + +642 +00:44:23,340 --> 00:44:27,940 +القانون هده هو P L في V طبقه وطلعه a uniform + +643 +00:44:27,940 --> 00:44:29,980 +magnetic field is perpendicular to the plane of + +644 +00:44:29,980 --> 00:44:32,640 +rotation what is the potential difference induced + +645 +00:44:32,640 --> 00:44:35,520 +between the end of the bar بقول يا أوجد الفرق + +646 +00:44:35,520 --> 00:44:41,250 +الجوهر بين طرفي هالسلكة هذه solutionطبعا هنا + +647 +00:44:41,250 --> 00:44:45,410 +بيقولي انت هى قانونك بي ال في بي بي بيكتر اجيبها + +648 +00:44:45,410 --> 00:44:52,270 +بي بتسوى أمجا في ر ولا لأ مش بي بتسوى أمجا في ر كم + +649 +00:44:52,270 --> 00:44:56,470 +هى أمجا في ر ال قلوا ال موضّكي يا ال الوشكلة وين + +650 +00:44:56,470 --> 00:45:02,350 +شباب المشكلة في R ايش عاوز عن Rليش نص طول السلك؟ + +651 +00:45:02,350 --> 00:45:06,590 +طب انا من هنا لنحور الدوران هان ولا هان ولا هان + +652 +00:45:06,590 --> 00:45:09,970 +ولا هان ولا هان؟ مازالتي تاخد انصر لان انا مقدر اش + +653 +00:45:09,970 --> 00:45:13,050 +حاط اعارش قيمته بيقول it is clear that V is not + +654 +00:45:13,050 --> 00:45:17,090 +constant V is not constant along the length of the + +655 +00:45:17,090 --> 00:45:20,870 +bar احنا اتفقنا في الحركة الدورانية Omega وAlpha + +656 +00:45:20,870 --> 00:45:25,760 +بتكون ثوابت ولكن V وA تتغير من نقطة لنقطةأذا V ليس + +657 +00:45:25,760 --> 00:45:29,020 +مستمر على طول طول البر، يجب أن نقل البر إلى أشياء + +658 +00:45:29,020 --> 00:45:33,060 +صغيرة، كلها بطولة VR، خذ هذا الأنصار، الأحمر، جيه + +659 +00:45:33,060 --> 00:45:35,440 +فرق الجهد بين طرفينه، و بعدين كامل بيجيه فرق الجهد + +660 +00:45:35,440 --> 00:45:39,980 +بين طرفين الرد الأصفر كله، تمام، بيقولي هذا سرعته + +661 +00:45:39,980 --> 00:45:44,900 +V بلف فيك، تمام، الانف عبر واحد من هذه الأشياء، + +662 +00:45:44,900 --> 00:45:51,250 +جيب DVعشان العنصر بتسوي ال V بي في دي R طوله دي R + +663 +00:45:51,250 --> 00:45:56,590 +V بتسوي Omega في R هجدشي R بقول هى R عادي انا عندي + +664 +00:45:56,590 --> 00:46:01,250 +عنصر هى R مافيش مشكلة تبقى بقول integrate to find + +665 +00:46:01,250 --> 00:46:04,450 +the N في أقرب غبارة كامل طبعا انا بدى كامل من صفر + +666 +00:46:04,450 --> 00:46:08,510 +لL لأن هى دي R هى أول عنصر بتكون صفر وهي أخر عنصر + +667 +00:46:08,510 --> 00:46:14,650 +بيكون L تملتها طلع كنص بي Omega في L تربيع هى طول + +668 +00:46:14,650 --> 00:46:19,690 +عيدعندي ال V لأي road بيمشي طبعا زي ما حكينا انه + +669 +00:46:19,690 --> 00:46:25,030 +هذه بيه لو كانت تبع الكرة الأرضية وهذه omega جد ما + +670 +00:46:25,030 --> 00:46:28,310 +تكون تكون وهذه طول اي كان متر ولا اتنين متر ولا + +671 +00:46:28,310 --> 00:46:32,230 +تلاتة متر بدل فرق الجهد هيكون قليل جدا لأن زي ما + +672 +00:46:32,230 --> 00:46:36,030 +حكى زميلكم هذه بيه أصلا بالجاوس والجاوس عشرة أس + +673 +00:46:36,030 --> 00:46:41,530 +سلب أربعة تسلا فهي صغيرة أصلا بيه تبع قوة الجاذبية + +674 +00:46:41,530 --> 00:46:42,790 +الأرضية + diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..f63a6dbfc7a90eb9a233a15104f46e388f8bbc44 --- /dev/null +++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY_raw.srt @@ -0,0 +1,2708 @@ +1 +00:00:09,880 --> 00:00:14,220 +بنسمي باسم الله ونبدأ ال chapter التاسع اللي تحت + +2 +00:00:14,220 --> 00:00:16,900 +عنوان paradise law شباب طبعا قانون paradise من + +3 +00:00:16,900 --> 00:00:21,160 +قوانين جدا مهمة في التقبيقات يعني من أهم قوانين + +4 +00:00:21,160 --> 00:00:25,960 +الكهربا هو قانون paradiseالبروبلينز هي معروفة + +5 +00:00:25,960 --> 00:00:30,700 +ونبدأ نشوف ايش عمل فرداي طبعا فرداي اكتسف الظاهرة + +6 +00:00:30,700 --> 00:00:34,300 +by chance اكتسف الظاهرة by chance كان بيشغل في + +7 +00:00:34,300 --> 00:00:38,400 +المعمل لقى الشغل قاعد عنده بتصير وبدأ يفسر فيها + +8 +00:00:38,400 --> 00:00:42,140 +ايش هي الظاهرة فرداي's law of induction قانون + +9 +00:00:42,140 --> 00:00:46,680 +فرداي طبعا قانون فرداي عمل انقلاب برضه في + +10 +00:00:46,680 --> 00:00:50,300 +التكنولوجيا هي الكهربا من قانون فرداي وعد كل + +11 +00:00:50,300 --> 00:00:56,640 +الكهربا دي أصلها قانون فردايبقول لي we learn that + +12 +00:00:56,640 --> 00:00:59,500 +electric current produces magnetic field هذا + +13 +00:00:59,500 --> 00:01:02,140 +اتعلمناها مش الشحنات المتحابة كانت بتولد مجال + +14 +00:01:02,140 --> 00:01:06,520 +كهربائي مجال مغماطيسي هذه معلومة صارت عندناشحنات + +15 +00:01:06,520 --> 00:01:10,340 +متحركة في الأخر قلنا طيار .. كل طيار بيولد مجال + +16 +00:01:10,340 --> 00:01:14,440 +مغناطيسي ..الآن نريد أن نتأكد أن هذا المجال + +17 +00:01:14,440 --> 00:01:19,240 +المغناطيسي ينتج في بعض الوضع الهواتف الكهربائية .. + +18 +00:01:19,240 --> 00:01:21,520 +الطيار بيولد مجال مغناطيسي ..الآن بينشأ ألعاب ان + +19 +00:01:21,520 --> 00:01:24,840 +المجال المغناطيسي بيجيب طيار .. نرجع .. بيضوج هكذا + +20 +00:01:24,840 --> 00:01:28,490 +..البيضة بتجيبش جاجة طب الجاجة بتجيبش بيضة؟ بتجيب + +21 +00:01:28,490 --> 00:01:32,490 +بس بقى بدها شغلات معينة عشان تجيب البيضة وهي نفس + +22 +00:01:32,490 --> 00:01:35,890 +القضية احنا قلنا في حالتنا البيضة بتبدأ تقول عنها + +23 +00:01:35,890 --> 00:01:39,110 +هي ال electron هي الأصل ال electron هو أصل كل حاجة + +24 +00:01:39,110 --> 00:01:43,490 +هو أصل البيض و هو أصل الجاجة تمام؟ الآن احنا عرفنا + +25 +00:01:43,490 --> 00:01:47,170 +ان الطيار ولد مجال مغناطيسي هتبدي أرجع لمجال + +26 +00:01:47,170 --> 00:01:49,630 +المغناطيسي بدي يوللي ليه طيار ولا لأ؟ و بدنا نشوف + +27 +00:01:49,630 --> 00:01:55,560 +أصله تمامConsider allume ايش اللي حصل مع فرضاه كان + +28 +00:01:55,560 --> 00:01:59,660 +عنده جيلفانوميتر على الطاولة و رابط فيه سيلك هيك و + +29 +00:01:59,660 --> 00:02:02,580 +رميه و قاعد سيلك لافيه كهربا ولا فيه حاجة و + +30 +00:02:02,580 --> 00:02:05,940 +الجيلفانوميتر مأشر على السفر زي ما هم توقع و بقت + +31 +00:02:05,940 --> 00:02:09,760 +شانسة عنده معماطيس كان على الطاولة و بيشغل ان خبط + +32 +00:02:09,760 --> 00:02:13,360 +المغناطيس تطلع الجيلفانوميتر تتحركوالمغناطيس هو + +33 +00:02:13,360 --> 00:02:16,760 +هيتحرك ايه؟ By الشخص التاني We'll consider a loop + +34 +00:02:16,760 --> 00:02:20,940 +of wire that is connected to a galvanometer and a + +35 +00:02:20,940 --> 00:02:24,020 +magnet is moved into the vicinity of the loop + +36 +00:02:24,020 --> 00:02:28,940 +واتحرك عندك مجال مغناطيس بالقرب من هال loop It is + +37 +00:02:28,940 --> 00:02:35,760 +observed that لاحظ التالي وقال لي هاي رسمة فردعي + +38 +00:02:35,760 --> 00:02:40,930 +هدسيك شبابوهذا الـ volumeter وهذا المغلطيس جنبه + +39 +00:02:40,930 --> 00:02:46,070 +هذا واقف وهذا واقف ايش بتتوقع يصير فيش تيار هذه + +40 +00:02:46,070 --> 00:02:52,320 +اول خطوة بيوليإذا كانت كلا اللوب و مبنى + +41 +00:02:52,320 --> 00:02:57,920 +الهيلجيستيكشنري مقاومة مع بعضها البعض فلا يوجد فرق + +42 +00:02:57,920 --> 00:03:01,040 +في جيلفانوميتر وهي مؤشر الجيلفانوميتر بأشر على + +43 +00:03:01,040 --> 00:03:05,100 +زيرو هذه شغلها المنطقية مافيش مشكلة لأنه أنا مافيش + +44 +00:03:05,100 --> 00:03:09,360 +عندي لا بطارية ولا مصدر تيار كهربائي ايه سوى قال + +45 +00:03:09,360 --> 00:03:14,420 +خلينا نشوف الآن حرك المغناطيس ايه صار في + +46 +00:03:14,420 --> 00:03:19,400 +الجيلفانوميتر أشر بدل ما كان زيرو سابد قيمةبدي + +47 +00:03:19,400 --> 00:03:24,700 +قيمة بيقول لي if the loop is held stationary وقفها + +48 +00:03:24,700 --> 00:03:29,700 +دي خليها واقفة حركها while the magnet is moved + +49 +00:03:29,700 --> 00:03:33,400 +toward the loop the velometer will deflect in one + +50 +00:03:33,400 --> 00:03:37,880 +direction أشر يعني في كهربا صح ولا لأ تأشيره دلالة + +51 +00:03:37,880 --> 00:03:41,720 +على أنه في كهربا طيب جاهز طيب خلينا نبعد المعناطيس + +52 +00:03:41,720 --> 00:03:46,520 +لجه في تأشيرة بس بالاتجاه إيش المعاكس بيقوللي الآن + +53 +00:03:46,520 --> 00:03:57,950 +ابعد أشرباتجاه المعاكس بيقولني هنا بس + +54 +00:03:57,950 --> 00:04:01,010 +الحين بنوقفها .. ده ان شاء الله موقفت بنتجه في + +55 +00:04:01,010 --> 00:04:04,230 +موجوده if the magnet is moved away from the loop + +56 +00:04:04,230 --> 00:04:06,790 +the galvanometer will deflect in the opposite + +57 +00:04:06,790 --> 00:04:11,230 +direction تمام؟ جال الآن طيب وقف المغناطيس وحرك ال + +58 +00:04:11,230 --> 00:04:17,900 +loop بالنفس ال observations تيجيبقول لي the same + +59 +00:04:17,900 --> 00:04:22,760 +observations is occurred when the loop is moved + +60 +00:04:22,760 --> 00:04:28,620 +while the magnet is held stationary تمام هذا اكتشف + +61 +00:04:28,620 --> 00:04:33,760 +الفرضاء و بدأ يشتغل يقول ايش اللي خلى الكهربا تبين + +62 +00:04:34,570 --> 00:04:39,470 +ماذا حصل؟ هناك حركة فيها تغير يعني صح ولا لا؟ ماهو + +63 +00:04:39,470 --> 00:04:44,790 +التغير؟ المجال المغناطيسي لجل على الموضوع لا طول + +64 +00:04:44,790 --> 00:04:49,090 +السلك ولا طول ال loop برضه لا لجأ ان اللي غير هو + +65 +00:04:49,090 --> 00:04:55,530 +ال flux ال flux اللي خلال هذه ال loop اذا زاد او + +66 +00:04:55,530 --> 00:05:00,250 +نجس بقشر الجلفانوميتر جال ايش؟ جال هادي لما يبعد + +67 +00:05:00,950 --> 00:05:04,110 +الفلكس عمّاله بينجس لأن ال magnetic field بيخس صح + +68 +00:05:04,110 --> 00:05:06,950 +ولا لأ؟ لأنه كل ما انا ابعد لأن هنا في خطوط مجال + +69 +00:05:06,950 --> 00:05:11,250 +مش من الشمال إلى الجنوب بروح في اختراق لخطوط + +70 +00:05:11,250 --> 00:05:15,590 +المجال هنا اذا فيه flux ابعد الفلكس عمّاله بينجس + +71 +00:05:15,590 --> 00:05:19,490 +لأن ال magnetic field بيجل كل ما انت بتبعد عمّاله + +72 +00:05:19,490 --> 00:05:24,470 +قاعد فيه نقصان ل magnetic flux جرب بتزيد طيب ثبت + +73 +00:05:24,470 --> 00:05:28,970 +هذا و حرك هذه نفس القضية حرك هذه هيك بيجل ال + +74 +00:05:28,970 --> 00:05:32,490 +magnetic fieldحركة باتجاه القرب بزيدي ال magnetic + +75 +00:05:32,490 --> 00:05:37,730 +field إذا صار اللي لجاه فرضاه إن تغير ال magnetic + +76 +00:05:37,730 --> 00:05:42,570 +flux هو الأصل اتغير ال magnetic flux فيه تيار + +77 +00:05:42,570 --> 00:05:46,270 +كهربائي ال magnetic flux كان ثابت مافيش تيار + +78 +00:05:46,270 --> 00:05:52,650 +كهربائي من هذه الملاحظات واحدة تؤكد بأن حركة تنتج + +79 +00:05:52,650 --> 00:05:55,030 +حركة في حركة كهربائي في حركة كهربائي في حركة + +80 +00:05:55,030 --> 00:05:57,590 +كهربائي in the loop as long as there is relative + +81 +00:05:57,590 --> 00:06:02,020 +motion between the loop and the magnetالطيار بعد + +82 +00:06:02,020 --> 00:06:05,940 +كده اتفقوا ايش يسموه قالوا بنسميه طيار طب اننا عم + +83 +00:06:05,940 --> 00:06:08,320 +بنعمل في هذا الطيار طبعا البطارية قالوا خلوا + +84 +00:06:08,320 --> 00:06:12,220 +الطيار مستحث هذا سموه لأنه مش جاي من بطارية مالوش + +85 +00:06:12,220 --> 00:06:17,160 +قبو خلنا نقول سحثات such a current is called the + +86 +00:06:17,160 --> 00:06:22,180 +induced current طيب الطيار عرفنا انه جاي من انف من + +87 +00:06:22,180 --> 00:06:25,460 +قوة دافعة كهربية ولا لأ تبعت البطارية قالوا طب هذه + +88 +00:06:25,460 --> 00:06:29,020 +بدي قوة دافعة كهربية برضه سموها ال induced inf + +89 +00:06:30,250 --> 00:06:34,130 +وصولته تسمى الـ Induced Imph الشيء الظاهر تولد + +90 +00:06:34,130 --> 00:06:35,610 +تيار من تغيّر لفلكس هذه الظاهرة سموها + +91 +00:06:35,610 --> 00:06:42,130 +Electromagnetic Induction الشيء الظاهر تولد تيار + +92 +00:06:42,130 --> 00:06:46,490 +من تغيّر لفلكس هذه الظاهرة سموها Electromagnetic + +93 +00:06:46,490 --> 00:06:51,030 +Induction الشيء الوحيد اللي هي production of + +94 +00:06:51,030 --> 00:06:54,090 +electric current from changing magnetic flux هو + +95 +00:06:54,090 --> 00:07:00,690 +Electromagnetic Inductionميكل فارداي حد هذه ال + +96 +00:07:00,690 --> 00:07:04,730 +observation في قانون شباب قانون رياضي يعتبر + +97 +00:07:04,730 --> 00:07:09,070 +considered as one of the fundamental laws in + +98 +00:07:09,070 --> 00:07:12,350 +electromagnetic induction هم أربع قوانين هذا أصلهم + +99 +00:07:12,350 --> 00:07:15,750 +في ماكسوين وفي قانون جاس وقانون فارداي من القوانين + +100 +00:07:15,750 --> 00:07:21,760 +الرئيسية في الجهرومانسية وحتى في العلوم كلهاقال ان + +101 +00:07:21,760 --> 00:07:29,580 +الاندوس انف هو مقارنة لرقم تغيير الهواء المجنوني + +102 +00:07:31,350 --> 00:07:35,450 +الإنف بيسوي سالب دي فاي على دي تي هد عدد اللي فات + +103 +00:07:35,450 --> 00:07:39,150 +هجد دي فاي على دي تي شباب لو فاي ثابتة و روحها + +104 +00:07:39,150 --> 00:07:44,310 +تفضل تتثابت إيش بيطلع؟ Zero إذا مافيش طيار صح هد + +105 +00:07:44,310 --> 00:07:48,330 +فاي تغيرت فضلها إلها قيمة طبعا التفاضل له حالتين + +106 +00:07:48,330 --> 00:07:51,790 +لا بيطلع موجب لا بيطلع سالب شباب إذا فاي بتزيد و + +107 +00:07:51,790 --> 00:07:57,290 +فضلتها بيطلع موجب ولا سالب إذا بيزيد موجبتمام؟ + +108 +00:07:57,290 --> 00:08:00,510 +تفاضلي نقصانه في الدنيا سالب واذا five thing us + +109 +00:08:00,510 --> 00:08:04,750 +تفاضلها سالب طبعا هذا السالب حاطوليش؟ قالوا عشان + +110 +00:08:04,750 --> 00:08:07,570 +تظبط معايا مبدأ ال conservation of energy احنا + +111 +00:08:07,570 --> 00:08:11,130 +هنشرحها و لينز فسرها .. مظبوط؟ + +112 +00:08:13,560 --> 00:08:16,300 +الجهد المتولد يعني .. الجهد المتولد ما هو مش شيط + +113 +00:08:16,300 --> 00:08:18,900 +فيه طيار .. انت شوف الطيار في دي البنوميطات؟ طب + +114 +00:08:18,900 --> 00:08:21,640 +الطيار هو بنفع يكون في طيار اللي فيه قاعدة + +115 +00:08:21,640 --> 00:08:24,860 +الشحنات؟ و الشحنات مين بيحركها؟ فرق جهود .. إذا ما + +116 +00:08:24,860 --> 00:08:27,960 +بدي فرق جهود فهذا فرق الجهود يسمون ال Inf .. ال + +117 +00:08:27,960 --> 00:08:31,360 +induced Inf تمام؟ انا هنشرح منهم الأصل إيه .. + +118 +00:08:31,360 --> 00:08:37,020 +تمام؟أذا هذا هو فرضاي عدد اللفات جيب ال flux اللي + +119 +00:08:37,020 --> 00:08:40,160 +أخدناه في الشكل الماضي لسه أخر حاجة جيب ال flux + +120 +00:08:40,160 --> 00:08:44,180 +فاضي و بعدين تطلع معاك النتيجة طبعا ال flux مش هو + +121 +00:08:44,180 --> 00:08:48,780 +اللي أخدناه بساوية تكامل P.DA تمام طبعا we are + +122 +00:08:48,780 --> 00:08:52,160 +under the number of lands in the world for uniform + +123 +00:08:52,160 --> 00:08:55,500 +magnetic field ده اللي يفترض أنه P is uniform و + +124 +00:08:55,500 --> 00:09:00,620 +أنت بتعرف أن ال flux بساوية تكامل P.DA لو هاد + +125 +00:09:00,620 --> 00:09:01,080 +uniform + +126 +00:09:05,080 --> 00:09:10,360 +انت كامل ال دي ايه؟ ايه؟ بيقولي اذا كانت بي is + +127 +00:09:10,360 --> 00:09:12,520 +uniform بيصير هاي ال flux الدورة بالراجل حطت + +128 +00:09:12,520 --> 00:09:16,900 +cosine ثيتا صح؟ عشان فاية كل متغيرة بيكفيني واحد + +129 +00:09:16,900 --> 00:09:21,180 +من التلاتة هدول يتغير ولا لأ؟ غير بي، اتغيرت ال + +130 +00:09:21,180 --> 00:09:24,480 +flux، غير ال area، اتغيرت ال flux، غير ثيتا، + +131 +00:09:24,480 --> 00:09:29,180 +اتغيرت ال flux هل جيت محطة القهربة ولا ال + +132 +00:09:29,180 --> 00:09:33,020 +generator اللي في دارك، ايش بيغير؟ بيغير ثيتا + +133 +00:09:33,920 --> 00:09:38,880 +بتتولد الكحبة عشان كده هذا القانون هو فكرة عمل كل + +134 +00:09:38,880 --> 00:09:42,240 +ال generators اللي في الدنيا where theta is the + +135 +00:09:42,240 --> 00:09:43,840 +angle between the magnetic field and the area + +136 +00:09:43,840 --> 00:09:47,400 +بيقول هي اشتغل هاي قانونك هتجد ايش الثابت و ايش + +137 +00:09:47,400 --> 00:09:51,620 +المتغير حسب طبعا انت بكفيك واحد تتغير from this + +138 +00:09:51,620 --> 00:09:54,380 +explanation we conclude that an induced emf can be + +139 +00:09:54,380 --> 00:10:00,460 +created if eitherB A or θ or a combination of them + +140 +00:10:00,460 --> 00:10:03,380 +vary with time ممكن يكون اتنين منهم او التلاتة + +141 +00:10:03,380 --> 00:10:07,840 +كلهم مع بعض يتغيروا لكن انا بيكفيني واحد يتغير بدي + +142 +00:10:07,840 --> 00:10:12,800 +افترض ان θ اللي بتتغير بس θ اللي اتغيرت صار ال inf + +143 +00:10:12,800 --> 00:10:21,660 +بالساوي ناقص in B ثابتة وA ثابتة D على DT cos θ + +144 +00:10:21,660 --> 00:10:31,380 +مظبوطة او لا يا شباب؟ من يفضل ليها؟سالب هك انا + +145 +00:10:31,380 --> 00:10:34,700 +بفضل عن نسمة لفيتا ولا نسمة ل T ال implicit + +146 +00:10:34,700 --> 00:10:42,420 +function وراح و لا خدته طار اذا هدى فى كمال هدى + +147 +00:10:42,420 --> 00:10:48,820 +omega طيب + +148 +00:10:48,820 --> 00:10:55,160 +طلعت بالساوي سالب in b a omega sin feta او omega T + +149 +00:10:56,740 --> 00:11:01,840 +هذه صين فيتا اللى بتسوق مجافته عشان كده بتطلع عندك + +150 +00:11:01,840 --> 00:11:06,700 +طيار متردد لأن فيتا بتتغير ممكن تكون صفر جدي الصين + +151 +00:11:06,700 --> 00:11:10,980 +صفر صفر ممكن تكون تسعين جدي الصين تسعين واحد مصبوط + +152 +00:11:10,980 --> 00:11:14,680 +ولا لأ اذا العملية صار الطيار اللى بيجيك بيجيك + +153 +00:11:14,680 --> 00:11:19,920 +رسمته صينورسمة ال sign هو التيار المتردد اذا هاي + +154 +00:11:19,920 --> 00:11:24,020 +فكرة عمل ال generator تبعتي عشان كده بيجيني ال + +155 +00:11:24,020 --> 00:11:29,000 +generator ال voltage متردد alternating والتيار + +156 +00:11:29,000 --> 00:11:33,680 +تبعانقله برضه alternating من اين؟ من ال sign هذه + +157 +00:11:33,680 --> 00:11:37,240 +لان انا غيرت ال cosine و ال cosine بيجي sign ورسمة + +158 +00:11:37,240 --> 00:11:40,480 +ال sign و ال alternating كلمة مش هاي اشارته هاي + +159 +00:11:40,480 --> 00:11:45,890 +اشارة من ال sign او اشارة ال cosine كله واحدالـ + +160 +00:11:45,890 --> 00:11:49,670 +minus sign في قانون فلوديا هو تتبع لقوة التحفة + +161 +00:11:49,670 --> 00:11:54,250 +للطاقة هذه فكرة بسيطة جدا ان عمل منها كل الدنيا كل + +162 +00:11:54,250 --> 00:11:57,810 +الكهربا اللي انتوا شايفينها بالتطور اللي شفناه كله + +163 +00:11:57,810 --> 00:12:01,390 +جاي منها بكون جوا ال generator المطور اللي جوا + +164 +00:12:01,390 --> 00:12:05,190 +عنكم فيه مغناطيس طبعا هي قطب شمال و قطب جنوبي + +165 +00:12:05,190 --> 00:12:09,930 +بالتالي خطوط المجال بيثبتوها هذه ال loopهذه + +166 +00:12:09,930 --> 00:12:15,170 +اللوبيت بيكلف طبعا انا بيهمني بدي مصدر للدوران بدي + +167 +00:12:15,170 --> 00:12:19,290 +طاقة حركة انه هذا بيلف بيجيب في حركة و هذا بيلف + +168 +00:12:19,290 --> 00:12:22,370 +كيف هذا جيلفانوميترا بيروح هيك و بيروح هيك بيروح + +169 +00:12:22,370 --> 00:12:25,870 +هيك و بيروح هيك طبعا بيروح بالاتجاهين و عامل رسمة + +170 +00:12:25,870 --> 00:12:34,590 +كيف انهالـ V تتحرك لأن ال area إذا كانت هذه ال + +171 +00:12:34,590 --> 00:12:38,550 +loop هيك، معناته فيها 90 درجة، وإذا ال loop هيك، + +172 +00:12:38,550 --> 00:12:43,480 +معناته إزالة إما 0 أو 180، وبتضلها تلفكل اللى بدي + +173 +00:12:43,480 --> 00:12:47,040 +عشان اولد كهربا بضل بدي طاقة حركة طبعا احنا خدنا + +174 +00:12:47,040 --> 00:12:50,020 +من زمان انه انا بدي الرياح ممكن استخدمها عشان يجيب + +175 +00:12:50,020 --> 00:12:55,200 +حركة الشللات الميه بالذات لأنه قوة اندفاع الميه + +176 +00:12:55,200 --> 00:12:59,260 +ممكن تديك حركة بالاضافة الى السرر والبنزين والطاقة + +177 +00:12:59,260 --> 00:13:03,360 +النووية كل هذه الأمور انا بدي طاقة حركةبتخلي هذا + +178 +00:13:03,360 --> 00:13:06,840 +الملف لف مازال لف في مجال مغناطيسي اتغير ال theta + +179 +00:13:06,840 --> 00:13:10,940 +على طول بيجي ال volumeter بدي طيار قهوبائي ال + +180 +00:13:10,940 --> 00:13:13,400 +generators بيكون كاتبين عليه اللي احنا بيقول عنه + +181 +00:13:13,400 --> 00:13:16,680 +كيلو تلاتة كيلو خمسة كيلو بيكونوش حاطين watt شباب + +182 +00:13:16,680 --> 00:13:22,240 +بيكونوا حاطين KVA KVA volt ampere طبعا انت لما + +183 +00:13:22,240 --> 00:13:25,840 +تيجي علميا ال volt ampere ماهو wattالولت امبير هو + +184 +00:13:25,840 --> 00:13:30,980 +watt ماهو مش I في V power ال power بتسوي I في V + +185 +00:13:30,980 --> 00:13:35,960 +هذه امبير وهذه volt اذا ال ampere volt هو watt + +186 +00:13:35,960 --> 00:13:40,800 +كيلو امبير volt كيلو watt لكن ليش بيستخدموها لإنه + +187 +00:13:40,800 --> 00:13:45,620 +شوية في بعض الكهربا بيعرفوها لما ياخدوا ال circuit + +188 +00:13:45,620 --> 00:13:49,730 +في الذات و ال machines في هذه الأمورالاكتر باور ال + +189 +00:13:49,730 --> 00:13:52,270 +real power عشان يميزوا بيها و يقولوا خلوا هذا + +190 +00:13:52,270 --> 00:13:56,570 +الوقت البوار راضي واحدة تانية فسموها ال volt + +191 +00:13:56,570 --> 00:14:00,970 +ampere طبعا كلكم عارفين انه لما احنا نقول ال + +192 +00:14:00,970 --> 00:14:03,970 +generator طبعنا خليني نقول تلاتة كيلو بتقدروا + +193 +00:14:03,970 --> 00:14:07,450 +تطلعوا تلاتة كيلو منه؟ لأ بالتالي يكون لازم اضغطها + +194 +00:14:07,450 --> 00:14:11,000 +في 0.8 غالبا اللي هي factor powerال factor power + +195 +00:14:11,000 --> 00:14:14,120 +فبالتالي غالبا اللي بقدر استغله انا من ال + +196 +00:14:14,120 --> 00:14:16,880 +generator اقل من المكتوب عليه عشان كده هم في + +197 +00:14:16,880 --> 00:14:19,760 +المصنع بيخش cash بيقولك هذا مش watt هذا kilo volt + +198 +00:14:19,760 --> 00:14:23,280 +ampere لو احد المعلومة عنده بديه بيقولك انت مواشي + +199 +00:14:23,280 --> 00:14:27,040 +افرادات الفرق زي ما حكينا انه في active power و في + +200 +00:14:27,040 --> 00:14:30,860 +real power و في اللي بيسموها ال imaginary power ال + +201 +00:14:30,860 --> 00:14:34,140 +generator قبل kilo و ال generator قبل عشرة kilo في + +202 +00:14:34,140 --> 00:14:37,340 +واحد منهم بيديك volt اكتر من التانيلا ماتنين + +203 +00:14:37,340 --> 00:14:40,760 +بيديكوا 220 vote صح ولا لأ؟ اذا وين الفرق؟ بديك + +204 +00:14:40,760 --> 00:14:44,190 +أمبير أكترو الأنبير لما يكون أكتر احنا ماتفقين من + +205 +00:14:44,190 --> 00:14:47,510 +أول هو اللي بيخليك تخلي ال power أكتر لأنه انا + +206 +00:14:47,510 --> 00:14:51,550 +عندي I في V V ثابت للجميع بدل I كل ما زاد الأنبير + +207 +00:14:51,550 --> 00:14:55,710 +عشان كده مرة كنا بنتحدث مع تعوين شركة الكهربا انه + +208 +00:14:55,710 --> 00:14:59,730 +كان من أحد الحلول اللي قاعدين بيفكروا فيها انه بدل + +209 +00:14:59,730 --> 00:15:04,430 +ما نقطع على منطقة كان أيام اتناشر ساعة و يجيبوننا + +210 +00:15:04,430 --> 00:15:07,670 +ست ساعات يقولوا لأ نجيبها في بعض مناطق ما نقطعاش + +211 +00:15:07,670 --> 00:15:11,680 +كامل بس ندينهم أنبير جليلطبعا لما تديك أنبير قليل + +212 +00:15:11,680 --> 00:15:15,440 +معناه تقدرش تشغل السخان تقدرش تشغل المكوية او ال + +213 +00:15:15,440 --> 00:15:18,840 +condition تقدر تضوي تشغل التلفزيون لأنه بصير .. + +214 +00:15:18,840 --> 00:15:22,360 +لما زال الأنبير قليل وجهه يوارح بصير الوقت اللي + +215 +00:15:22,360 --> 00:15:25,840 +انت بتقدر تاخدها قليلة فطبعا كانت .. بس بيجيها + +216 +00:15:25,840 --> 00:15:30,040 +مشاكل خلنا نقول فنية كيف يقدروا يتحكموا بالأنبير + +217 +00:15:30,040 --> 00:15:33,500 +اللي داخل على البيوت في حارة معينة او في مدينة + +218 +00:15:33,500 --> 00:15:37,360 +معينة ساعتها طبعا لما تجللوا الأنبير بدل ما يعطوا + +219 +00:15:37,360 --> 00:15:41,650 +حارة ممكن يعطوا كل الحاراتبنفس الطاقة و تكون توزعت + +220 +00:15:41,650 --> 00:15:44,530 +صح و كان في هذه الاقتراح لو يقدروا تبقوا كتير أحسن + +221 +00:15:44,530 --> 00:15:49,350 +بمعنى أخر انا في النهاية بأرضى تعطيني عشر ساعات + +222 +00:15:49,350 --> 00:15:53,730 +أمبير جليل و أربعة عشر ساعات أمبير كبير ليش انا + +223 +00:15:53,730 --> 00:15:56,450 +بالعشر ساعات انا بدي أبوي أشغل ال computer تبعي + +224 +00:15:56,450 --> 00:16:01,850 +أشغل تلفزيوني أشغل هوايتيبراشة اقول عندي رافة هي + +225 +00:16:01,850 --> 00:16:07,790 +اشغل condition و اشغل مكوية و تتأجر يعنى فلو طب قد + +226 +00:16:07,790 --> 00:16:10,870 +كانت كتير ميحة الفكرة بس يبدو ان في موقعات فنية + +227 +00:16:10,870 --> 00:16:14,210 +لإن انت عارفين احنا في الآخر ال motor تبعنا اللي + +228 +00:16:14,210 --> 00:16:18,550 +بنجيبه أغلب ده قاصر علينا ان يشغله كل حاجة فبقى + +229 +00:16:18,550 --> 00:16:21,150 +انا أجيبه من بلدية او من شركة القهرابة كان أحسن + +230 +00:16:21,150 --> 00:16:24,210 +ليه كان من ضمن الأفكار اللي كانوا يفكروا فيها لكن + +231 +00:16:24,210 --> 00:16:30,120 +ماعرفوش تطبقوها تمامخلّينا نحل على فرضائي طبعا هم + +232 +00:16:30,120 --> 00:16:34,640 +متفاهمين يا شباب قانون فرضائي هو قانون تطبيقاته + +233 +00:16:34,640 --> 00:16:39,280 +أهم من انه يعني اعتبره قانون وحل عليه أنثى لكن في + +234 +00:16:39,280 --> 00:16:42,060 +النهاية ما انتوا عارفين احنا بناخد أصل العلم + +235 +00:16:42,060 --> 00:16:46,100 +وبالتالي بيهمنا ال science تبعه التطبيقات زي ما + +236 +00:16:46,100 --> 00:16:51,890 +تول حكينا التطبيقات الأصلية ككمهندسين بتهتموا + +237 +00:16:51,890 --> 00:16:55,050 +بالتقبيق بس برضه بيبقوا الميز ما بين مهندس و + +238 +00:16:55,050 --> 00:16:59,170 +technician يعني بالنهاية المهندس بيفرج عن ال + +239 +00:16:59,170 --> 00:17:01,530 +technician فيش ال technician بيطبق و مرات مالوش + +240 +00:17:01,530 --> 00:17:05,030 +دعوة بين نظرية كيف تشتغل ال technician بيعرف انه + +241 +00:17:05,030 --> 00:17:07,910 +والله هذه الجينالية تخربان ان انت بتودوله مهندس + +242 +00:17:07,910 --> 00:17:10,630 +ولا لوحد يمكن الله يعلم خلص اعدادي ولا مش خلص + +243 +00:17:10,630 --> 00:17:13,380 +اعداديوبيعمل ال generator ايش بده يفرج على + +244 +00:17:13,380 --> 00:17:16,880 +المهندس؟ المهندس من جوا التركيبة نفسه العلم تبع ال + +245 +00:17:16,880 --> 00:17:19,720 +generator لازم يكون عارفه ومن هنا بتيجي الامور + +246 +00:17:19,720 --> 00:17:23,180 +اللي احنا بتركز عليها أصل العلم قعدنا هنشوف فردايس + +247 +00:17:23,180 --> 00:17:27,540 +بعد ما عمل كان شغل للعلماء مش انه فردايس عمل ظاهرة + +248 +00:17:27,540 --> 00:17:33,420 +وصح واستغلوها كان همهم واش اللي جاب الكهربا؟من وين + +249 +00:17:33,420 --> 00:17:37,040 +إجت الكهربا؟ نظريا علميا إيش إيجاد بالكهربا؟ و + +250 +00:17:37,040 --> 00:17:40,060 +قعدنا هنشرح كيف إيجاد الكهربا بقينها بيقول أكل + +251 +00:17:40,060 --> 00:17:43,900 +طبعا كل معناتها ملف شباب اكل قعدنا هنسميه inductor + +252 +00:17:43,900 --> 00:17:47,360 +الاسم العلمي إيه؟ اذاك في ال capacitor إيه اسمين؟ + +253 +00:17:47,360 --> 00:17:51,370 +capacitor وcondenserالكندنسر للاسم اللغوي التجاري + +254 +00:17:51,370 --> 00:17:57,750 +كباسيتر للاسم العلمي ايجا الاسم اللغوي الاسم + +255 +00:17:57,750 --> 00:18:01,690 +العلمي له اندكتور المحاذة بيسموها فهدك اندكتور هد + +256 +00:18:01,690 --> 00:18:05,990 +كول لسه مااخدناش اندكتور فراح لللغة كول معناتها + +257 +00:18:05,990 --> 00:18:11,950 +ملف a call consist of 200 turns في 200 لفةكل مجلد + +258 +00:18:11,950 --> 00:18:16,290 +هو مجلد عمودي وكل لفة عامل مربع مدّيك ال site تبعه + +259 +00:18:16,290 --> 00:18:19,150 +انت عارف انتي جيه مساحة المربع؟ انت عارف انتي جيه + +260 +00:18:19,150 --> 00:18:22,070 +مساحة المربع؟ and a uniform magnetic field + +261 +00:18:22,070 --> 00:18:24,610 +perpendicular to the plane of the coil بيقول ال + +262 +00:18:24,610 --> 00:18:28,590 +magnetic field عمودي على هذه المربع و هيك ال + +263 +00:18:28,590 --> 00:18:30,910 +magnetic field يعني ماجدتش ازاوي بين ال area و + +264 +00:18:30,910 --> 00:18:35,070 +magnetic field؟ zero لأن ال magnetic field عمودي و + +265 +00:18:35,070 --> 00:18:40,970 +ال area عمودية اصلا من تعريفها تمامis termed such + +266 +00:18:40,970 --> 00:18:47,750 +that ΔB بيتساوي 0.5 تسلا in 0.8 second في 18 + +267 +00:18:47,750 --> 00:18:52,710 +second تغيرت ΔB نص تسلا يعني ΔB على ΔT الدنيا + +268 +00:18:52,710 --> 00:18:56,050 +جاهزة ايه بتبقى قطر قانون حكينا هذا مثال اي كلام + +269 +00:18:56,050 --> 00:19:07,390 +solution بيقولنا ماقص inب في a cos θ نقص in a cos + +270 +00:19:07,390 --> 00:19:11,690 +θ db على dt cos θ في الباب واحد لأن θ هو zero من + +271 +00:19:11,690 --> 00:19:19,270 +التعريف db على dt هي نفسها delta b على delta tدلتا + +272 +00:19:19,270 --> 00:19:21,710 +بي على دلتا تي بيسوي او point five على او point + +273 +00:19:21,710 --> 00:19:25,130 +eight بس عوض و طلع النتيجة طلعت اربعة point one + +274 +00:19:25,130 --> 00:19:30,390 +volt تمام كمان مثال برضه سهل جدا بيقول للمجال + +275 +00:19:30,390 --> 00:19:34,770 +المعاطيسي الآن شباب يعطاك يوم متغير ويله علاقة + +276 +00:19:34,770 --> 00:19:38,210 +vary with time according to high B بيسوي بيه + +277 +00:19:38,210 --> 00:19:41,910 +maximum ايه؟ طب هو minus alpha في T إذا بيه متغير + +278 +00:19:41,910 --> 00:19:46,390 +ويله علاقة بالزمن بتقدر تفضله ال exponential تعرف + +279 +00:19:46,390 --> 00:19:50,390 +تفضلهكلكم بتعرفوا ايه تبقى ناقص alpha x بتفضلها + +280 +00:19:58,210 --> 00:20:01,590 +إذا أنا بدأ فاضل هنا مش أكتر بقول a loop of wire + +281 +00:20:01,590 --> 00:20:05,690 +of area A is placed in a magnetic field + +282 +00:20:05,690 --> 00:20:08,090 +perpendicular to the plane of the loop برضه + +283 +00:20:08,090 --> 00:20:10,190 +perpendicular to the plane of the loop يعني زي و + +284 +00:20:10,190 --> 00:20:14,490 +Zero برضه تمام the magnetic field B varies with + +285 +00:20:14,490 --> 00:20:18,890 +time according to أطلق قيمة B as a function of T + +286 +00:20:18,890 --> 00:20:21,810 +مطلقش اللي فاضل what is the induced emf in the + +287 +00:20:21,810 --> 00:20:26,450 +loop برضه طبعاهو طبق قانون Faraday again the area + +288 +00:20:26,450 --> 00:20:31,950 +is constant والزاوية صفر اصلا اللى متغير هو B قال + +289 +00:20:31,950 --> 00:20:37,550 +فاضل بيه فما هي بيه يعني ببلش وكأن سؤالتها فاضل + +290 +00:20:37,550 --> 00:20:41,050 +يعنى سهل فاضل طلع يجيب بهذا النتيجة مافيش اي + +291 +00:20:41,050 --> 00:20:45,300 +اشكاليةتمام قعدنا لما نشتغل على lenses low فى بس + +292 +00:20:45,300 --> 00:20:48,120 +مشكلة فى ال direction نتعلم نجيب ال direction أما + +293 +00:20:48,120 --> 00:20:50,900 +ال magnitude مجرد تفاضل مافيش اي صعوبة فى قانون + +294 +00:20:50,900 --> 00:20:55,440 +فرضاي كتفبيق عليه مافيش فى اي صعوبة تمام emotional + +295 +00:20:55,440 --> 00:21:02,960 +inf ال inf اللى توي حكينا عنه من وين إجه الآن زى + +296 +00:21:02,960 --> 00:21:07,500 +ما اتفقنا القضية كانت من وين إجهة الكهربا + +297 +00:21:12,290 --> 00:21:15,970 +عشان انا افهم من وين جت الكهربا بدي ابدأ اشوف ايش + +298 +00:21:15,970 --> 00:21:19,030 +اللي بصير لما ال magnetic reflex تغير ايش اللي صار + +299 +00:21:24,120 --> 00:21:28,520 +الظاهرة اللى اكتسبها فرضاي وحطلها قانون حتى + +300 +00:21:28,520 --> 00:21:31,320 +القانون لحد الآن مقنعش العلماء بيقول لك ال flux + +301 +00:21:31,320 --> 00:21:35,100 +لما يتغير ايش جاب الكهربا الكهربا المعلومة اللى + +302 +00:21:35,100 --> 00:21:38,280 +عندي انا ان الالكترونات بتتحرك ايش الحركة + +303 +00:21:38,280 --> 00:21:42,360 +الالكترونات عشان يجي الفنومة ترقشر اذا لابد من + +304 +00:21:42,360 --> 00:21:46,980 +شغلة صارتحركة الإلكترون عشان كده الجيلفانومتر + +305 +00:21:46,980 --> 00:21:50,400 +اتحرك وحركة الإلكترون بيتحافظ على حركة الإلكترون + +306 +00:21:50,400 --> 00:21:55,020 +وإن كان راحة الكهربا كما بقول خلّينا نشرح نظريا + +307 +00:21:55,020 --> 00:21:58,880 +إيش اللي بيصير معايا consider أرد قال جيب سيليك + +308 +00:21:58,880 --> 00:22:03,340 +طبعا سيليك كوندكتر عشان وإيه لأ ممش تيار منه + +309 +00:22:03,340 --> 00:22:09,250 +كوندكتروكانت قطعة طولة L تتحرك بسرعة V في مجال + +310 +00:22:09,250 --> 00:22:14,930 +مغناطيسي B تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة + +311 +00:22:14,930 --> 00:22:15,050 +V تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك + +312 +00:22:15,050 --> 00:22:15,430 +بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V + +313 +00:22:15,430 --> 00:22:15,430 +تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك + +314 +00:22:15,430 --> 00:22:19,330 +بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V + +315 +00:22:19,330 --> 00:22:24,630 +تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك + +316 +00:22:24,630 --> 00:22:28,410 +بسرعة V تتحرك + +317 +00:22:31,100 --> 00:22:34,020 +هذه السيليكون اما لو بيمشي جواته فران ولا لأ؟ + +318 +00:22:34,020 --> 00:22:37,720 +ذاكرين الفران؟ الفران بيتحرك او بيتحركوش؟ لما هو + +319 +00:22:37,720 --> 00:22:41,700 +يتحرك، بيتحرك و بيجيه معاه، تمام؟ هل جاتي + +320 +00:22:41,700 --> 00:22:44,500 +الالكترونات هدا كوندكتر؟ في الكترونات حرة ولا لأ؟ + +321 +00:22:44,500 --> 00:22:49,820 +جواته، في طب هم بيمشوا، اول ما خش هان، في عندي + +322 +00:22:49,820 --> 00:22:55,120 +زمان قانون يقولي F magnetic بتساوي Q، V cross ال + +323 +00:22:55,120 --> 00:22:59,550 +B، ذاكرينها يا شباب؟حكاني في علومة في شرط 9 انسو + +324 +00:22:59,550 --> 00:23:03,350 +فرضاي هالجيت بيقول لأي شحنة متحركة في مجال + +325 +00:23:03,350 --> 00:23:07,890 +مغناطيسي تتأثر بقوة مغناطيسية صح ولا لأ؟ إذا هذه + +326 +00:23:07,890 --> 00:23:09,910 +الإلكترون اللي كان ماشي أول ما خدش على مجال + +327 +00:23:09,910 --> 00:23:14,370 +مغناطيسي في حد الآن أثر عليه بقوة نيجي نحسبها و + +328 +00:23:14,370 --> 00:23:18,030 +نشوف اتجاهها معينة فيها هذه الإلكترون إذا هي سالب + +329 +00:23:18,030 --> 00:23:25,330 +إيه؟ متفقين؟ V كيف اتجاهها شباب؟ I وهذه سالب K مش + +330 +00:23:25,330 --> 00:23:31,380 +into the beigeسالب سالب روحت I cross K سالب G إذا + +331 +00:23:31,380 --> 00:23:35,900 +القوة وين بدها تودي تحت تحت تحت تحت تحت تحت تحت + +332 +00:23:35,900 --> 00:23:36,980 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +333 +00:23:36,980 --> 00:23:37,160 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +334 +00:23:37,160 --> 00:23:37,540 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +335 +00:23:37,540 --> 00:23:38,160 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +336 +00:23:38,160 --> 00:23:38,880 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +337 +00:23:38,880 --> 00:23:39,240 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +338 +00:23:39,240 --> 00:23:43,000 +تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت + +339 +00:23:43,000 --> 00:23:47,900 +تحت تحت تحت تحت تحت تحت تحت + +340 +00:23:50,680 --> 00:23:55,700 +هذه أصلها صار في عندي هنا سالب وهنا موجب صار عندي + +341 +00:23:55,700 --> 00:24:00,240 +بطارية خطوط سالب خطوط موجب هذه أصل القضية كلها + +342 +00:24:01,540 --> 00:24:05,500 +أعيدها بالكتابة بيقولي هو طول ال و بمشي ايش بيصير + +343 +00:24:05,500 --> 00:24:08,780 +بيقولي the free electron اللي هم اللي هم معاهم في + +344 +00:24:08,780 --> 00:24:11,740 +الراين جوا inside the rod will experience a + +345 +00:24:11,740 --> 00:24:15,020 +magnetic force هيأثروا عرفيهم اتأثروا بقوة + +346 +00:24:15,020 --> 00:24:19,220 +مغناطيسية هيواجهوا قوة مغناطيسية according to + +347 +00:24:19,220 --> 00:24:22,900 +قانون chapter 29 اللي احنا عارفين هم مندعوا عن + +348 +00:24:22,900 --> 00:24:31,560 +فرضاي بيقولي FM بتسوي QV X B كيو سلب B لإلكترون V + +349 +00:24:31,560 --> 00:24:36,440 +باتجاه I صح cross سلب K صح طريقة نقل الشيء الان + +350 +00:24:36,440 --> 00:24:41,980 +فهمت انا ان الإلكترونات فيها حد بيجبرهم ينزلوا تحت + +351 +00:24:41,980 --> 00:24:46,240 +هالإلكترون نزل تحت البروتونات يصل فيه ويطلع فوق + +352 +00:24:46,240 --> 00:24:53,900 +انفصلوا مين انفصلهم القوة المغناطسيةانفصلوا صار في + +353 +00:24:53,900 --> 00:24:59,520 +عندهم قطب موجة بقطب سالب صح ولا لأ؟ جيب سلك و حط + +354 +00:24:59,520 --> 00:25:03,060 +جيلفانوميتر و اعمل هيك ايش بتوصيف هذا؟ بده يمشي + +355 +00:25:03,060 --> 00:25:06,780 +هيك ولا لأ؟ اصلا في الجيلفانوميتر؟ اشر، رصب لعنه، + +356 +00:25:06,780 --> 00:25:11,120 +اذا هاي التفسير العلمي للظاهر التفرضعي انه + +357 +00:25:12,120 --> 00:25:16,460 +الإلكترونات اللى جوا اللى كانت ماشية بخطرها وماحد + +358 +00:25:16,460 --> 00:25:22,260 +مشبرها اجى اول ما اتحركت في مجال مغناطيسي فُصلت + +359 +00:25:22,260 --> 00:25:28,680 +فُصلت وصار عندى قطب موجة بقطب سالب تمام الان + +360 +00:25:28,680 --> 00:25:35,190 +اتفصلوا بهذا الشكلالان بيقولي the electrons then + +361 +00:25:35,190 --> 00:25:39,110 +accumulate at the lower end of the rod بتجمعوا تحت + +362 +00:25:39,110 --> 00:25:43,350 +leaving a net positive at its upper end و ال + +363 +00:25:43,350 --> 00:25:46,390 +positive بتطلع فوق إذا صار في عندك قطب سالب و قطب + +364 +00:25:46,390 --> 00:25:51,750 +موجب صرت هيك انت هنا طيب لأ انت بتفضل هادي قوللي + +365 +00:25:51,750 --> 00:25:55,670 +ولا حاجة مش أسهل منها انت أول ما فصلت صار في عندك + +366 +00:25:55,670 --> 00:26:00,700 +مجال كهربائي ولا ماصارش جوا ال rodالمجال الكهربائي + +367 +00:26:00,700 --> 00:26:05,600 +مش مروح من الموجب للسالب، إذا في الأول كان فيه + +368 +00:26:05,600 --> 00:26:08,480 +مجال كهربائي بس عشوائي، رايح تسافر، أول ما انفصل + +369 +00:26:08,480 --> 00:26:14,930 +وصار في عندك مجال كهربائي بهذا الشكل، هذا إيه؟أول + +370 +00:26:14,930 --> 00:26:18,270 +إلكترون أول ما دخل كان أثر عليها مجال مغناطيسي + +371 +00:26:18,270 --> 00:26:22,550 +انفصل تمام تاني إلكترون صار عنده مجالين بأثره عليه + +372 +00:26:22,550 --> 00:26:25,790 +المجال المغناطيسي و المجال الكهربائي اللي اتولد + +373 +00:26:25,790 --> 00:26:30,750 +صار في عنده قوتين إذا قوة مغناطيسية و بتنزل و تحت + +374 +00:26:30,750 --> 00:26:36,230 +و قوة كهربائية F E بتساوي Q في ال E ولا لأ شباب + +375 +00:26:36,230 --> 00:26:43,940 +ذكرينه على القانون طيب هذا إلكترونهذه بيكون عكس + +376 +00:26:43,940 --> 00:26:47,840 +هذه ولا لأ؟ هذه كيف اتجاهها؟ لأسفل، إذا هذه كيف + +377 +00:26:47,840 --> 00:26:52,240 +بيكون اتجاهها؟ لأعلى، إذا إيه تكون قوة لأعلى؟ + +378 +00:26:52,240 --> 00:26:55,760 +القوة الموتصية لأسفل، القوة الكهربية لأعلى، هال + +379 +00:26:55,760 --> 00:26:59,840 +gate إذا تنتين القوة تساوى، ال net force إيش بيصير + +380 +00:26:59,840 --> 00:27:06,250 +فيها؟ بجفهادي من وين اجت من فصل الإلكلونات افصل + +381 +00:27:06,250 --> 00:27:10,590 +إلكلون و بروتون في E طب كمين زادت E تلاتة إلكلون و + +382 +00:27:10,590 --> 00:27:14,330 +بروتون زادت E عملها E ماها بالـC فيها الجهة بتزيد + +383 +00:27:14,330 --> 00:27:18,790 +لما هادي اتصير سوى هذا بجف بس وقت إيش بعد ما يكون + +384 +00:27:18,790 --> 00:27:21,210 +فصللي عدد من الإلكلونات و عدد من البروتونات ولا لأ + +385 +00:27:21,210 --> 00:27:24,690 +يعني بالآخر صار في عنده قطب موجب و قطب سالب هي + +386 +00:27:24,690 --> 00:27:28,750 +الأصل تباع الكهربية بس أعيده الكلام مكتوب اللي أنا + +387 +00:27:28,750 --> 00:27:33,630 +حكيته الآن باللغة العدميةبنحكيها باللغة العلمية + +388 +00:27:33,630 --> 00:27:37,730 +بيقول as a result of this charge separation نتيجة + +389 +00:27:37,730 --> 00:27:41,550 +هذا ال separation ما بين الإلكيونات والبروتونات a + +390 +00:27:41,550 --> 00:27:46,130 +net electric field will be set up inside the rod + +391 +00:27:46,130 --> 00:27:50,690 +صار في عندك مجال كهربائي داخل ال rod وهي اتجاهه من + +392 +00:27:50,690 --> 00:27:55,570 +الموجة بالسالب من الموجة بالسالب طيب therefore + +393 +00:27:55,570 --> 00:28:01,720 +free electronsالان سيكون تأثيرا عن طاقة إلكترونية + +394 +00:28:01,720 --> 00:28:05,880 +في أضافة إلى طاقة مجنونة + +395 +00:28:09,020 --> 00:28:13,600 +بيقول لي اتشارج or it charges continue to build up + +396 +00:28:13,600 --> 00:28:16,580 +at the ends of the rod until the two forces + +397 +00:28:16,580 --> 00:28:21,440 +balanced بيبقى الإلكمات تفصل لما القوة الكهربية + +398 +00:28:21,440 --> 00:28:24,280 +تساوي القوة المغمطسية بعد كده الإلكمات و بوتومات + +399 +00:28:24,280 --> 00:28:28,260 +بتجاف و بيبقى في حركة at this point motion of it + +400 +00:28:28,260 --> 00:28:32,490 +chargesتتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +401 +00:28:32,490 --> 00:28:32,650 +تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +402 +00:28:32,650 --> 00:28:32,650 +تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +403 +00:28:32,650 --> 00:28:34,730 +تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +404 +00:28:34,730 --> 00:28:39,470 +تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +405 +00:28:39,470 --> 00:28:42,710 +تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، + +406 +00:28:42,710 --> 00:28:48,020 +تتوقف، تتوقف، تتوقف، تتوقفأبطب بدائرة مغلقة، مش + +407 +00:28:48,020 --> 00:28:51,280 +الطيار صافي عندك كهربا، ضورت دواو، اتي ال + +408 +00:28:51,280 --> 00:28:54,940 +volumeter اتحرك وكل الأمور اللي بدك إياها وصلت، + +409 +00:28:54,940 --> 00:28:59,260 +إذا الأصل من وين إجت الكهربا، نرجع للبيع + +410 +00:28:59,260 --> 00:29:03,760 +بالإلكترون، الإلكترون هو بتحرك، انفصل، فعنفاق + +411 +00:29:03,760 --> 00:29:07,740 +جهود، طلع الكهربا، إذا أصل الكهربا، أصل معنى توصية + +412 +00:29:07,740 --> 00:29:12,050 +هو الإلكترون، برجع بنفس المبدأده اللي فابعى اللي + +413 +00:29:12,050 --> 00:29:15,830 +احسبها نيجي نحسبها و بعدين نقولها فرضايا حسبها و + +414 +00:29:15,830 --> 00:29:19,410 +نشوف قانون فرضايا صح و لا .. to calculate this inf + +415 +00:29:19,410 --> 00:29:22,430 +بقولي انت كم انت حسبها انت قولتي اللي وقفت الأمور + +416 +00:29:22,430 --> 00:29:26,210 +و وقتش وقفت مش لما القوة القهربية ساوة القوة + +417 +00:29:26,210 --> 00:29:29,590 +المغناطسية ساوى القواتين اللي انت حسبتهم ها قوة + +418 +00:29:29,590 --> 00:29:32,390 +المغناطسية و ها قوة القهربية حسبهم ساويهم مع بعض + +419 +00:29:33,120 --> 00:29:35,700 +بقول if you calculate this info we have from the + +420 +00:29:35,700 --> 00:29:39,180 +equilibrium condition ان السبيل يصبح بعض FM + +421 +00:29:39,180 --> 00:29:43,000 +magnetic force equal electric force magnetic force + +422 +00:29:43,000 --> 00:29:52,020 +هي الشباب E في V في B E في V في B وهي بتسوي E في + +423 +00:29:52,020 --> 00:29:58,930 +capital A Q في Eتمام؟ هذه الله صاحب عليها جبت + +424 +00:29:58,930 --> 00:30:02,210 +المجال الكهربائي المجال الكهربائي اللي هو بذأبة + +425 +00:30:02,210 --> 00:30:04,750 +بالسرعة و بالمجال المغناطيسي طبعا لأن المجال + +426 +00:30:04,750 --> 00:30:07,650 +الكهربائي جاي من ال separation كل ما كانت أسرع ال + +427 +00:30:07,650 --> 00:30:09,530 +separation بيكون أكبر و كل ما كان المجال + +428 +00:30:09,530 --> 00:30:12,670 +المغناطيسي أكبر ال separation بيكون أكبر تمام؟ قال + +429 +00:30:12,670 --> 00:30:15,430 +لي أنت أنا مابديش المجال الكهربائي أنا مابدي الجهد + +430 +00:30:15,430 --> 00:30:20,230 +في علاقة بين الجهد و المجال الكهربائي V بالساوي + +431 +00:30:20,230 --> 00:30:22,730 +سالب تكامل E ضد ال DL ذاكرينه؟ + +432 +00:30:25,360 --> 00:30:29,260 +بتجيبه اعتبر ان E is uniform اذا فرق الجهد بيساوي + +433 +00:30:29,260 --> 00:30:33,380 +E في L E في L و L هو طول السلك موجود عند طول السلك + +434 +00:30:33,380 --> 00:30:36,540 +بقول since the electric field is uniform inside + +435 +00:30:36,540 --> 00:30:39,740 +the rod the potential difference across the rod is + +436 +00:30:39,740 --> 00:30:44,700 +related to this electric field according to فرق + +437 +00:30:44,700 --> 00:30:48,480 +الجهد اللي هو الانف اللي بتدور عليه بيساوي E لحسب + +438 +00:30:48,480 --> 00:30:53,300 +كبطوله بيقوله L E في L بيساوي V في L في B هاي + +439 +00:30:53,300 --> 00:30:57,130 +الانفقالوا احنا حسبناها استخدمت قانون فرداي لان + +440 +00:30:57,130 --> 00:31:00,850 +هنا ما استخدمتش قانون فرداي هي طلعت انف و بيقول + +441 +00:31:00,850 --> 00:31:04,330 +ماهيش فرداي بيقول فرداي انت حاطة انها قانون جيبلي + +442 +00:31:04,330 --> 00:31:07,870 +نفس الانف و جيبلي من قانون فرداي اذا طلعت نفسي + +443 +00:31:07,870 --> 00:31:10,710 +نتيجة معاكت قانون فرداي ان انا حاط صح مظبوط ولا لأ + +444 +00:31:10,710 --> 00:31:14,590 +هنا مااستخدمتش فرداي بمرة انا استخدمت قوة كهربية + +445 +00:31:14,590 --> 00:31:17,610 +في الشطر الأول و قوة المغناطسية في الشطر التسعة و + +446 +00:31:17,610 --> 00:31:22,510 +عشرين ثواتهم مع بعض طلعت الانفمع غلاقة الجهود مع + +447 +00:31:22,510 --> 00:31:26,990 +المجال القنضائي اللي أخدته في chapter 25 و إشتغلته + +448 +00:31:26,990 --> 00:31:30,710 +طلعت الانف بقول الآن بدي أطبق نفس الشغلة بس + +449 +00:31:30,710 --> 00:31:33,790 +باستخدام قانون فرضائي الان عرفنا أول مصدر ال + +450 +00:31:33,790 --> 00:31:37,970 +induced inf شباب من حركة الإلكترونات جوا المجال + +451 +00:31:37,970 --> 00:31:41,870 +المغناطيسي انفصل الإلكترونات صار في عندي potential + +452 +00:31:41,870 --> 00:31:45,190 +difference between the end of the conductor و صار + +453 +00:31:45,190 --> 00:31:54,510 +في عندي induced infهذه الاختلافات تبقى محفوظة على + +454 +00:31:54,510 --> 00:31:58,990 +طرفي الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +455 +00:31:58,990 --> 00:31:59,990 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +456 +00:31:59,990 --> 00:32:01,710 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +457 +00:32:01,710 --> 00:32:01,870 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +458 +00:32:01,870 --> 00:32:02,390 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +459 +00:32:02,390 --> 00:32:04,870 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +460 +00:32:04,870 --> 00:32:07,550 +طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق + +461 +00:32:07,550 --> 00:32:13,460 +طوارئ الطرق طوارلأ لو مااتحركش ال rod بصيرش انفصال + +462 +00:32:13,460 --> 00:32:19,240 +لإن اللي خلّى الانفصال لإن الكيونات بتتحرك يوة + +463 +00:32:19,240 --> 00:32:23,460 +بسرعة ما مافيش حركة مافيش قوة مجلسية مافيش قوة + +464 +00:32:23,460 --> 00:32:26,780 +كهربية وبالتالي مافيش اي inf عشان كده يسموها + +465 +00:32:26,780 --> 00:32:30,820 +motional inf مش مهمة اسمها بقولي الآن بدي أشتغل + +466 +00:32:30,820 --> 00:32:35,000 +على فرضاه الفرضاه إيش هو فرضاه قال هذا ال rod روحت + +467 +00:32:35,000 --> 00:32:38,240 +بدي أربطه بجه ال vanometer عشان أربطه بجه ال + +468 +00:32:38,240 --> 00:32:43,140 +vanometer بدي أجيب سلكطبعا في إمكانية طيار انت تحس + +469 +00:32:43,140 --> 00:32:47,580 +فيه بدون a closed circuit اذا بدك a closed circuit + +470 +00:32:47,580 --> 00:32:49,860 +عشان تحس فيه اعمل ال closed circuit اعملت ال + +471 +00:32:49,860 --> 00:32:52,740 +closed circuit اول ما عملت ال closed circuit صار + +472 +00:32:52,740 --> 00:32:57,350 +في عندك surface high surfaceساعتها بتقول الفرضية + +473 +00:32:57,350 --> 00:33:00,230 +اه انت بتاكل ال flux اللي هنا الآن احسب ال flux + +474 +00:33:00,230 --> 00:33:04,310 +هذه مساحة طبعا مافيش مجال انك تاخد طيار الا لما + +475 +00:33:04,310 --> 00:33:06,990 +يكون عندك closed loop وما زال في closed loop صار + +476 +00:33:06,990 --> 00:33:10,470 +فيه عندك surface وصار فيه إمكانية تحسب ال flux ثم + +477 +00:33:10,470 --> 00:33:13,030 +بيقول let us now prove the last equation اللي + +478 +00:33:13,030 --> 00:33:16,420 +حسبتهاUsing Faraday's law بدي اشتغل مع فردايا يعني + +479 +00:33:16,420 --> 00:33:20,340 +consider now the road is sliding ال road بدي امشي + +480 +00:33:20,340 --> 00:33:26,340 +along conducting rails ع سكة من السلك such that it + +481 +00:33:26,340 --> 00:33:29,500 +forms a closed loop هاي أنا كان في عنده خطوط موجب + +482 +00:33:29,500 --> 00:33:32,660 +و الأن انت تشوف ايش بيصير أول ما سكرتها الدائرة + +483 +00:33:32,660 --> 00:33:36,710 +مشيك مشيتأول ما سكرت الدائرة لإن كان في عندى + +484 +00:33:36,710 --> 00:33:39,570 +بروترون قطب موجب و قطب سالب بتتنافع من الموجب + +485 +00:33:39,570 --> 00:33:41,910 +بتلعب على السالب، بتمشي، مشت الصرف في طيار ولا + +486 +00:33:41,910 --> 00:33:45,190 +ماصارش فيه طيار؟ اتحركت الvalvometer لإن اتحركت + +487 +00:33:45,190 --> 00:33:50,010 +الشحنات و الطيار هو حركة الشحنات طبعا انا جيت مشيت + +488 +00:33:50,010 --> 00:33:53,830 +البروترون شباب عشان الطيار by convention is the + +489 +00:33:53,830 --> 00:33:56,930 +motion of positive charges بقى فمشيت البروترون، + +490 +00:33:56,930 --> 00:33:59,390 +مشي البروترون صار في عندي حركة بدي أحسبها الآن + +491 +00:34:01,010 --> 00:34:04,110 +بيقول add the area of the loop عشان انا دي بreflex + +492 +00:34:04,110 --> 00:34:09,770 +بيسوي بي ضط ال a بي ضط ال a بي uniform هو و ال + +493 +00:34:09,770 --> 00:34:16,910 +area مش هي عبارة عن طول بعرض الطول ال و عرض X ضط + +494 +00:34:16,910 --> 00:34:22,130 +product بتديني كساني في تا الزاوية zero شباب لإن + +495 +00:34:22,130 --> 00:34:26,310 +ال بي هيك و ال area هيك إذن الزاوية zero وظل عندي + +496 +00:34:26,310 --> 00:34:29,750 +اشغل متغير و ال circle أصفر بتحرك ال area بتبقى + +497 +00:34:29,750 --> 00:34:35,450 +ثابتةزي معناته هنا المتغير ايش ال area احنا قولنا + +498 +00:34:35,450 --> 00:34:39,830 +فرضاء بيشتغل اتغيرت بيه اتغيرت ال area اتغيرت + +499 +00:34:39,830 --> 00:34:44,210 +الزاوية او كلهم مع بعض انا الآن بدي اغير ال area + +500 +00:34:44,210 --> 00:34:49,530 +هي اتغيرت ال area بقول ال area بتسوي الف X بس X + +501 +00:34:49,530 --> 00:34:55,850 +ثاته لا X بالثاته فضلها بقولي في بتسوي بي في ال + +502 +00:34:55,850 --> 00:35:00,050 +area و ال area بتسوي الف Xحيث يتغير الوثء في الوثء + +503 +00:35:00,050 --> 00:35:03,610 +في الوقت التي تتحرك الوثء في الوثء في الوقت التي + +504 +00:35:03,610 --> 00:35:04,130 +تتحرك الوثء في الوقت التي تتحرك الوثء في الوقت + +505 +00:35:04,130 --> 00:35:05,050 +التي تتحرك الوثء في الوقت التي تتحرك الوثء في + +506 +00:35:05,050 --> 00:35:07,130 +الوقت التي تتحرك الوثء في الوقت التي تتحرك الوثء + +507 +00:35:07,130 --> 00:35:08,170 +في الوقت التي تتحرك الوثء في الوقت التي تتحرك + +508 +00:35:08,170 --> 00:35:08,170 +الوثء في الوقت التي تتحرك الوثء في الوقت التي + +509 +00:35:08,170 --> 00:35:08,210 +تتحرك الوثء في الوقت التي تتحرك الوثء في الوقت + +510 +00:35:08,210 --> 00:35:10,010 +التي تتحرك الوثء في الوقت التي تتحرك الوثء في + +511 +00:35:10,010 --> 00:35:19,270 +الوقت التي تتحرك الوثء في الوقت التي تتحالقانون + +512 +00:35:19,270 --> 00:35:23,450 +الأول طلع plv فرضاي طلع سالب plv الفرق سالب + +513 +00:35:23,450 --> 00:35:27,190 +والسالب فالتك من قصته نشرحها بعدين اذا نفس القانون + +514 +00:35:27,190 --> 00:35:32,790 +طلع من فرضاي اذا هاي قصة ال motion الامف وهي أصل + +515 +00:35:32,790 --> 00:35:37,390 +العلمى لظاهرة فرضاي وكيف اتولد التيار هذا اللى + +516 +00:35:37,390 --> 00:35:42,290 +شوفناه من حركة ولحركة ايش سوت فى الإلكيونات وكيف + +517 +00:35:42,290 --> 00:35:46,710 +خلتها تتحرك و تبقى ماشية ويعمل فرق جهود ماشى بهذا + +518 +00:35:46,710 --> 00:35:47,550 +الشكل + +519 +00:35:54,350 --> 00:36:00,190 +هجيب طبعا صراحة ان المعلومة بتقول التالي كل سيلك + +520 +00:36:00,190 --> 00:36:04,830 +معدني كوندكتر بتتخرج في مجال مغناطيسي بيصير بين + +521 +00:36:04,830 --> 00:36:09,090 +طرفينهفرق جهود طب عن هذه الشغلة خوفت العلماء في + +522 +00:36:09,090 --> 00:36:12,710 +الأول ليش؟ قالوا هو انت نسوش ان القوة الأرضية فيها + +523 +00:36:12,710 --> 00:36:15,190 +مجال مناطيسي ولا مافيش فيها مجال مناطيسي؟ فيها + +524 +00:36:15,190 --> 00:36:18,270 +مجال مناطيسي قالوا إذا كل واحد يتحرك بدي أمسك و + +525 +00:36:18,270 --> 00:36:22,230 +أتكهرب أنا؟ بده هيك الصير، بدي أتكهرب طب عما حصن + +526 +00:36:22,230 --> 00:36:26,810 +الحظ انت لما تمسك حاجة للراديو بتتكهرب ليش؟ عشان + +527 +00:36:26,810 --> 00:36:32,070 +الفرطية جليلة تمام؟ لكن لو مسكت انت .. حطتهم هنا + +528 +00:36:32,070 --> 00:36:37,510 +ومسكتهم بتبقى كذا عايش؟بتقول تمام بالتالي اذا كان + +529 +00:36:37,510 --> 00:36:40,050 +عندى جهود بعين عملته اتحمله فيه جهود ماقدرش اتحمله + +530 +00:36:40,050 --> 00:36:46,690 +جاله طبعا انا ال inf اللي حسبته انا وياكم يتساوي + +531 +00:36:46,690 --> 00:36:52,490 +بي L في V هذي بي خلنا نقول المجال المرتيس للقوة + +532 +00:36:52,490 --> 00:36:59,490 +الأرضية ايه المقدار 0.35 اقل خمس دولتين حوالى تلت + +533 +00:36:59,490 --> 00:37:05,330 +اظنحتى يعني مقدار صغير و إل طول أي رد و فيه + +534 +00:37:05,330 --> 00:37:08,650 +الصراعة طبعا كل ما زادت الصراعة شباب كل مهدي زادت + +535 +00:37:08,650 --> 00:37:12,250 +صح ولا لأ كان الخوف وين جالك إشيش شغلات سريعة جدا + +536 +00:37:12,250 --> 00:37:16,520 +جالو الطياراتخافوا من الطيارات قالوا جناح الطيارة + +537 +00:37:16,520 --> 00:37:19,860 +ما هو رد و غالبا بيسمعوا مني الألمنيوم مظبوط ولا + +538 +00:37:19,860 --> 00:37:24,700 +لا؟ الالمنيوم كوندكتر قالوا هذا لو كان بيمشي بسرعة + +539 +00:37:24,700 --> 00:37:27,580 +كبيرة و طلع فرق جنود كبير معناته من الخاف على + +540 +00:37:27,580 --> 00:37:31,320 +شغلات كتيرة لذا عملوا حسابات بسيطة و شافوا جدش + +541 +00:37:31,320 --> 00:37:35,220 +بيركون حتى لو طيارة الكونكورد اللي بطلت تمشي اللي + +542 +00:37:35,220 --> 00:37:37,100 +زمان كانت تمشي و بطلوها اذا كنتوا عارفتوا كده + +543 +00:37:37,100 --> 00:37:41,710 +السطحةكانت تمشي بسرعة الصوت لأ كانت تعمل إزعاج + +544 +00:37:41,710 --> 00:37:46,030 +كانت عشان البيئة سكروها يعني ماكانش كل المطارات + +545 +00:37:46,030 --> 00:37:50,390 +تسمح لها تمشي لإنه انزولها واطلعوها واطلعوها بدوا + +546 +00:37:50,390 --> 00:37:55,910 +مشكلة يعني سرعة ضخمة وكان ممكن مطار كينيدي ومطار + +547 +00:37:55,910 --> 00:37:59,950 +عدة مطارات تسمح لهذه الطائرات كانت طبعا في إلها + +548 +00:37:59,950 --> 00:38:04,720 +كتير ميزة إنه المسافة ما بين أوروبا وأمريكااختصرت + +549 +00:38:04,720 --> 00:38:08,040 +الى حد كبير لكن فى الآخر برضه قبل منا كام سنة + +550 +00:38:08,040 --> 00:38:11,960 +ماعرفش انتوا ادركتوا او مادركتوش انا ذاك انه كانت + +551 +00:38:11,960 --> 00:38:15,840 +اخر رحلة الها و بعد كده قعدوها قاعدوها بطلوا + +552 +00:38:15,840 --> 00:38:23,450 +طيروها اتقعدتكانت طبعا هي مشروع أوروبي فرنسي + +553 +00:38:23,450 --> 00:38:28,090 +بريطاني كان الصنيعات في فرنسا كانت الأصل في الآخر + +554 +00:38:28,090 --> 00:38:32,350 +المهم جاعدت لانه مشاكل بيئية كانت يعمل دوشة كبيرة + +555 +00:38:32,350 --> 00:38:35,790 +جدا وبالتالي لازم المطار يكون فيش حوالي سكان من + +556 +00:38:35,790 --> 00:38:39,050 +مسافات طويلة عشان يسمحوه لتروح فكتير من المطارات + +557 +00:38:39,050 --> 00:38:41,790 +خصوصا في البلدان الصغيرة زي لما نقول مثلا والله + +558 +00:38:41,790 --> 00:38:47,450 +خلنا نقول مطار رفح تبعناأدي مثال طب هو على بعد + +559 +00:38:47,450 --> 00:38:51,750 +يمكن نص متر نص كيلو فيه سكان ولا خلينا نقول موجة + +560 +00:38:51,750 --> 00:38:56,050 +صغيرة احنا دولنا العربية وحتى الدول الأوروبية لأ + +561 +00:38:56,050 --> 00:39:00,630 +انت القاهرة مثلا شوف مثلا بيروت ولا شوف مثلا + +562 +00:39:00,630 --> 00:39:03,830 +الدوحة ولا شوف المنامة ولا شوف الدوحة كلهم هم مقدش + +563 +00:39:03,830 --> 00:39:07,290 +كلهم لكن في مثلا في بعض بودنس زي أمريكا مقارة + +564 +00:39:07,290 --> 00:39:11,470 +أمريكا ممكن أحطه المطار تبعها ويكون أقرب سكنممكن + +565 +00:39:11,470 --> 00:39:14,890 +يكون بعد خمسين كيلو يعني مثلا اللي شاف مثلا في جده + +566 +00:39:14,890 --> 00:39:19,710 +المطار ال legit تبعهم تمشي عدة كيلومترات عشان تحس + +567 +00:39:19,710 --> 00:39:24,050 +انه في سكان لسه ففي مساحات لكن في المدن الصغيرة زي + +568 +00:39:24,050 --> 00:39:28,910 +بيروت ولا الدوحة ولا المنامة صغيرة حتى الدول + +569 +00:39:28,910 --> 00:39:32,030 +الأوروبية يعني الدول الأوروبية مشكلتها أغلبها + +570 +00:39:32,030 --> 00:39:36,810 +تفتقر إلى المساحات الواسعة يعني انتوا عارفين أكبر + +571 +00:39:36,810 --> 00:39:39,090 +دولة أوروبية من حيث المساحة مين؟ + +572 +00:39:42,940 --> 00:39:46,200 +مساحتا فرنسا و أسبانيا فاعتقوا من روسيا .. روسيا + +573 +00:39:46,200 --> 00:39:48,520 +بالعادية مش روسيا بالعادية بالنسبة للعالم .. احنا + +574 +00:39:48,520 --> 00:39:51,360 +بنقول عن أوروبا خصوصا الغربية .. أسبانيا و فرنسا + +575 +00:39:51,360 --> 00:39:56,630 +جرا بعض .. بس قديش بشكله من مصر .. نص مصرشوف أكبر + +576 +00:39:56,630 --> 00:40:00,990 +دولة أوروبية مساحتا نص مصر مصر مليون بتعرفوها + +577 +00:40:00,990 --> 00:40:03,930 +فرنسا و أسبانيا بحدود نص مليون نص مليون و شويه + +578 +00:40:03,930 --> 00:40:07,750 +صغيرة اللي هو أكبر مساحات في أوروبا ألمانيا + +579 +00:40:07,750 --> 00:40:13,270 +تلاتمية وكسور يعني حوالي تلت مصر ألمانيا بهذه + +580 +00:40:13,270 --> 00:40:16,350 +الضخامة بعد ما اتوحدت كان زمان ألمانيا ألمانيا + +581 +00:40:16,350 --> 00:40:19,130 +الشرقية و ألمانيا الغربية بعد ما اتوحدت ألمانيا + +582 +00:40:19,130 --> 00:40:24,770 +مساحة تلت مصرفدعوة واموية برضه مشكلتها ان مساعتها + +583 +00:40:24,770 --> 00:40:25,110 +صغيرة + +584 +00:40:28,280 --> 00:40:31,720 +و هذه شغلات تانية في كل التطور عندهم في أمور كتيرة + +585 +00:40:31,720 --> 00:40:36,460 +يعني مش بس العلم و بس في أمور كتيرة فمن المهم لما + +586 +00:40:36,460 --> 00:40:41,000 +يعسبوها لجفاق جنوب بين جناحي الطيارة برضه قليل جدا + +587 +00:40:41,000 --> 00:40:44,760 +بيخوفش وبالتالي بعد ما قالوا مافيش خوف طبعا اللي + +588 +00:40:44,760 --> 00:40:47,900 +ساعد ان المجال المغناطيسي تبع القولة الأرضية صغيرة + +589 +00:40:47,900 --> 00:40:51,480 +و هذه شغلات ربانية بيقولوا ربنا مقدر لكل الأمور + +590 +00:40:51,480 --> 00:40:57,840 +وإلا ماكنش فيه عيشة لبيادمين كتيرةفطبعا انتوا + +591 +00:40:57,840 --> 00:41:02,720 +عارفين انه المجال الكهربائي و لا مجال المعطيسي عند + +592 +00:41:02,720 --> 00:41:05,900 +حد معين بعدين بيخوف يعني زي ما احنا بنعرفه انتوا + +593 +00:41:05,900 --> 00:41:10,820 +بتاعون الكهربا بيعرفوا في عيننا بتسمع خط عالي و خط + +594 +00:41:10,820 --> 00:41:13,540 +واطي في الكهربا ضغط عالي و ضغط عالي بتسمعوا فيها + +595 +00:41:13,540 --> 00:41:18,140 +ولا لأ وكان فيه انك معلومة بتكون دقيقة و مش دقيقة + +596 +00:41:18,140 --> 00:41:21,440 +ان الضغط العالي بيخوف او بيخوفش وشغلات ثانية طبعا + +597 +00:41:21,900 --> 00:41:26,600 +هو بيخوف بوقتاش لإن هو الدقت العالى بتعرفوا ليش + +598 +00:41:26,600 --> 00:41:28,760 +بيعملوا الدقت عالى؟ انتوا وصلتوا عنكم المعلومة ولا + +599 +00:41:28,760 --> 00:41:35,460 +لسه؟ ليش بيعملوا الدقت عالى؟ موليه؟ لأ لأ بيقلل + +600 +00:41:35,460 --> 00:41:39,040 +الفاقد بيقلل الفاقد يعني بيقولك انا لما انجلوا من + +601 +00:41:39,040 --> 00:41:42,020 +محطة الكهرة بلدارك انا ماشي خلينا نقول عشرين + +602 +00:41:42,020 --> 00:41:45,520 +تلاتين كيلو طبعا هذه الأسلاك اللي انا ماشي فيها + +603 +00:41:45,520 --> 00:41:48,760 +مقاومة من السفر ماهي أسلاك من الحاس في النهاية في + +604 +00:41:48,760 --> 00:41:53,980 +مقاومة ال I تربيع في ال R شبابهذه ال power اللي + +605 +00:41:53,980 --> 00:41:59,180 +تفقد هذي R من السفر نظريا سفر لكن هي إلا قيمة طبعا + +606 +00:41:59,180 --> 00:42:03,460 +لما تكون هذه طويلة هذه R إلها قيمة معقولة بالتالي + +607 +00:42:03,460 --> 00:42:06,720 +طول ما أنت ماشي قاعد طاقة بتفقدها قالوا إيش يسوي + +608 +00:42:06,720 --> 00:42:11,700 +قالوا اعمل فرق جهود بتقلي ال I بتعلي فرق الجهود + +609 +00:42:11,700 --> 00:42:16,850 +بتقلي ال Iبتقلي الآل و تربحها بالجيل الأكتر بقلي + +610 +00:42:16,850 --> 00:42:20,430 +الفاقد فبالتالي بتساعد على انك انت لما تنقل الطيار + +611 +00:42:20,430 --> 00:42:24,310 +من مكان لا بعيد اعمل ضغط عالي بعدين بسيطة جيب ال + +612 +00:42:24,310 --> 00:42:28,750 +Trans نزل ال 220 يخش على البيوت ال 220 لكن عشان + +613 +00:42:28,750 --> 00:42:31,670 +كده طبعا المعلومة اللي برضه لازم يعرفها المهندسين + +614 +00:42:31,670 --> 00:42:34,830 +الكهربا ان الضغط العالي له limit لأنه اذا ازاد عن + +615 +00:42:34,830 --> 00:42:38,990 +حد معين الهوى اللي حوالينه بتأين و اذا اتأين صار + +616 +00:42:38,990 --> 00:42:41,250 +في خطر على كل الكائنات اللي حواليه يعني ان بصير + +617 +00:42:41,250 --> 00:42:44,440 +الطائر اول ما يتربحبتكهرب وانت إذا طلعت حاجة بلا + +618 +00:42:44,440 --> 00:42:48,500 +كونة بتروح لإنه بيكون جنبك يعني واسألك مرات اللي + +619 +00:42:48,500 --> 00:42:51,340 +ساكنين في الشوارع العامة خاطر ال .. الضغط العالي + +620 +00:42:51,340 --> 00:42:53,520 +بيكون جنبك خصوصا إذا كانت ساكنة على التالت و لا + +621 +00:42:53,520 --> 00:42:56,760 +على الرابع بيكون جنبك بالتالي لازم يكون في حظين + +622 +00:42:56,760 --> 00:43:00,640 +عندهم ات معين مايكونش جادر يأيني الهوى اللي + +623 +00:43:00,640 --> 00:43:04,020 +حواليها فالضغط العالي معمول عشان هيك ان يقلن + +624 +00:43:04,020 --> 00:43:07,700 +الفاقد بس مديش هنا أموت الناس بديكون في حسابات + +625 +00:43:07,700 --> 00:43:13,730 +كتيرة في هذه القضية هذههذا مثال قال لك هذه بتشبه + +626 +00:43:13,730 --> 00:43:16,690 +أيش؟ قال لي ال helicopter بتعرفوها؟ تجاه ال + +627 +00:43:16,690 --> 00:43:19,890 +helicopter مش هو عبارة عن جناح بلُف قال لي خليني + +628 +00:43:19,890 --> 00:43:23,430 +أشوف إيش بدي اتولد فرق جهد بين طرفي الجراح ال .. + +629 +00:43:23,430 --> 00:43:26,010 +طبعا الهواية لو اللي بتلف برضه لو إن مجال + +630 +00:43:26,010 --> 00:43:29,290 +المغناطيسي على العرض كبير بيصير بتتكهرب الهواية + +631 +00:43:29,290 --> 00:43:33,330 +لأنهم بيبتتحرك في مجال المغناطيسي وكل حاجة بتتحرك + +632 +00:43:33,330 --> 00:43:36,830 +في مجال المغناطيسي ويكون في فرق جهد بس طبعا نحوصنا + +633 +00:43:36,830 --> 00:43:40,140 +حد أن فرق الجهد بيكون فعيف جدابيصيحوا يتعرضوا + +634 +00:43:40,140 --> 00:43:44,900 +معاها و بيكونوا اقل يعني الجهد اللي بيكون اتولد + +635 +00:43:44,900 --> 00:43:48,220 +مرات اقل من جهدها بحجر الراديو خصوصا لما يكون + +636 +00:43:48,220 --> 00:43:52,360 +الهواية الطيارة يدوب اللي بسرعة كبيرة فكيف الهواية + +637 +00:43:52,360 --> 00:43:55,800 +اللي بتكون سرعتها جليلة بيقول هنا conducting bar + +638 +00:43:55,800 --> 00:43:59,300 +of length L rotates with a constant angular speed + +639 +00:43:59,300 --> 00:44:03,260 +omega about one inch يعني هذا بيلوف شباب زي ما + +640 +00:44:03,260 --> 00:44:07,440 +حكينا هذا جناح من جانحين الهواية او جناح من جانحين + +641 +00:44:07,440 --> 00:44:11,360 +طيارة الهولوكابترانا انفضت من هنا وانفضت من هنا + +642 +00:44:11,360 --> 00:44:16,060 +وانفضت من هنا وانفضت من هنافي حركة وهذا conductor + +643 +00:44:16,060 --> 00:44:20,820 +وفي مجال مغناطيسي إذا بدى يكون فيه عندى انثى + +644 +00:44:20,820 --> 00:44:23,340 +القانون اللى موجود عندنا لإن بديش أننا نضمن أشتاق + +645 +00:44:23,340 --> 00:44:27,940 +القانون هده هو P L في V طبقه وطلعه a uniform + +646 +00:44:27,940 --> 00:44:29,980 +magnetic field is perpendicular to the plane of + +647 +00:44:29,980 --> 00:44:32,640 +rotation what is the potential difference induced + +648 +00:44:32,640 --> 00:44:35,520 +between the end of the bar بقول يا أوجد الفرق + +649 +00:44:35,520 --> 00:44:41,250 +الجوهر بين طرفي هالسلكة هذه solutionطبعا هنا + +650 +00:44:41,250 --> 00:44:45,410 +بيقولي انت هى قانونك بي ال في بي بي بيكتر اجيبها + +651 +00:44:45,410 --> 00:44:52,270 +بي بتسوى أمجا في ر ولا لأ مش بي بتسوى أمجا في ر كم + +652 +00:44:52,270 --> 00:44:56,470 +هى أمجا في ر ال قلوا ال موضّكي يا ال الوشكلة وين + +653 +00:44:56,470 --> 00:45:02,350 +شباب المشكلة في R ايش عاوز عن Rليش نص طول السلك؟ + +654 +00:45:02,350 --> 00:45:06,590 +طب انا من هنا لنحور الدوران هان ولا هان ولا هان + +655 +00:45:06,590 --> 00:45:09,970 +ولا هان ولا هان؟ مازالتي تاخد انصر لان انا مقدر اش + +656 +00:45:09,970 --> 00:45:13,050 +حاط اعارش قيمته بيقول it is clear that V is not + +657 +00:45:13,050 --> 00:45:17,090 +constant V is not constant along the length of the + +658 +00:45:17,090 --> 00:45:20,870 +bar احنا اتفقنا في الحركة الدورانية Omega وAlpha + +659 +00:45:20,870 --> 00:45:25,760 +بتكون ثوابت ولكن V وA تتغير من نقطة لنقطةأذا V ليس + +660 +00:45:25,760 --> 00:45:29,020 +مستمر على طول طول البر، يجب أن نقل البر إلى أشياء + +661 +00:45:29,020 --> 00:45:33,060 +صغيرة، كلها بطولة VR، خذ هذا الأنصار، الأحمر، جيه + +662 +00:45:33,060 --> 00:45:35,440 +فرق الجهد بين طرفينه، و بعدين كامل بيجيه فرق الجهد + +663 +00:45:35,440 --> 00:45:39,980 +بين طرفين الرد الأصفر كله، تمام، بيقولي هذا سرعته + +664 +00:45:39,980 --> 00:45:44,900 +V بلف فيك، تمام، الانف عبر واحد من هذه الأشياء، + +665 +00:45:44,900 --> 00:45:51,250 +جيب DVعشان العنصر بتسوي ال V بي في دي R طوله دي R + +666 +00:45:51,250 --> 00:45:56,590 +V بتسوي Omega في R هجدشي R بقول هى R عادي انا عندي + +667 +00:45:56,590 --> 00:46:01,250 +عنصر هى R مافيش مشكلة تبقى بقول integrate to find + +668 +00:46:01,250 --> 00:46:04,450 +the N في أقرب غبارة كامل طبعا انا بدى كامل من صفر + +669 +00:46:04,450 --> 00:46:08,510 +لL لأن هى دي R هى أول عنصر بتكون صفر وهي أخر عنصر + +670 +00:46:08,510 --> 00:46:14,650 +بيكون L تملتها طلع كنص بي Omega في L تربيع هى طول + +671 +00:46:14,650 --> 00:46:19,690 +عيدعندي ال V لأي road بيمشي طبعا زي ما حكينا انه + +672 +00:46:19,690 --> 00:46:25,030 +هذه بيه لو كانت تبع الكرة الأرضية وهذه omega جد ما + +673 +00:46:25,030 --> 00:46:28,310 +تكون تكون وهذه طول اي كان متر ولا اتنين متر ولا + +674 +00:46:28,310 --> 00:46:32,230 +تلاتة متر بدل فرق الجهد هيكون قليل جدا لأن زي ما + +675 +00:46:32,230 --> 00:46:36,030 +حكى زميلكم هذه بيه أصلا بالجاوس والجاوس عشرة أس + +676 +00:46:36,030 --> 00:46:41,530 +سلب أربعة تسلا فهي صغيرة أصلا بيه تبع قوة الجاذبية + +677 +00:46:41,530 --> 00:46:42,790 +الأرضية + diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/1myyZiBOvdQ_postprocess.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/1myyZiBOvdQ_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..a44870696bcbfd7aeb3d788d9d397cc772553f98 --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/1myyZiBOvdQ_postprocess.srt @@ -0,0 +1,2932 @@ +1 +00:00:10,060 --> 00:00:17,020 +بسم الله الرحمن الرحيمنبدأ اليوم في آخر chapter في + +2 +00:00:17,020 --> 00:00:21,760 +المقرر ان شاء الله هو chapter 6 chapter 6 بتحدث عن + +3 +00:00:21,760 --> 00:00:27,700 +Laplace transforms تحويلات Laplace عالم فرنسي اسمه + +4 +00:00:27,700 --> 00:00:33,480 +Laplace وعمل التحويلات هذه شو فايدة هذه التحويلات + +5 +00:00:33,480 --> 00:00:39,760 +تبسيط وضع الدالة اللي عندنا إلى دالة أسهل منهافي + +6 +00:00:39,760 --> 00:00:43,020 +التعامل يبقى هي الفكرة الأساسية يكون عندها + +7 +00:00:43,020 --> 00:00:46,920 +function ال function هذا ممكن أستبدلها ب function + +8 +00:00:46,920 --> 00:00:52,080 +مكافئة لها لكن شكل ال function الجديدة هي أبسط من + +9 +00:00:52,080 --> 00:00:56,400 +من شكل ال function الأصلية يبقى هذا الفكرة + +10 +00:00:56,400 --> 00:01:03,040 +الأساسية لهذا الموضوعبعد تعريف للابلاس ترانسفورم + +11 +00:01:03,040 --> 00:01:08,660 +بحل + +12 +00:01:08,660 --> 00:01:13,740 +المعادلات التفاضلية من الرتبة التانية من الرتبة + +13 +00:01:13,740 --> 00:01:19,480 +الرابعة من الرتبة التالتة من الرتبة الرابعةيبقى + +14 +00:01:19,480 --> 00:01:23,200 +هذا موضوع ال chapter هذا in general لكن اول + +15 +00:01:23,200 --> 00:01:27,080 +section ل Laplace transform مش هندخل فيه في حل + +16 +00:01:27,080 --> 00:01:31,660 +المعادلات التفاضلية لكن هنشوف كيف عمليا روح نحسب + +17 +00:01:31,660 --> 00:01:37,000 +Laplace transform لدوال المختلفة اذا بدا نعطي + +18 +00:01:37,000 --> 00:01:42,000 +تعريف ل Laplace transform نعطي تعريف لنوع جديد من + +19 +00:01:42,000 --> 00:01:46,580 +ال functions نشوف وقت ايش بيكون Laplace transform + +20 +00:01:46,580 --> 00:01:53,420 +exist لدالةما ثم بعد ذلك نذهب الى أمثلة لكيفية + +21 +00:01:53,420 --> 00:01:58,480 +حساب Laplace transform للدوال المختلفة اذا نعود + +22 +00:01:58,480 --> 00:02:02,860 +للتعريف لـ Laplace transform يقول يفترض ان عندك + +23 +00:02:02,860 --> 00:02:09,120 +دالة F small of T معرفة على الفترة من صفر الى + +24 +00:02:09,120 --> 00:02:15,080 +infinity يعني على كل T الموجبة يبقى كأننا نص + +25 +00:02:15,080 --> 00:02:21,810 +اليمين تبعينطبعا محور X دي لبلاس transform لدالة F + +26 +00:02:21,810 --> 00:02:27,370 +denoted by يبقى تحويل لبلاس لدالة F حديها الرمز L + +27 +00:02:27,370 --> 00:02:35,420 +وبين جثيم متوسطات بحط F of Tهذا رمز او الرمز اللي + +28 +00:02:35,420 --> 00:02:39,980 +عندنا ده capital F of S مش F small ،اللحظة اللي + +29 +00:02:39,980 --> 00:02:44,040 +جوا هنا F small of T دي F capital of S يبقى انا + +30 +00:02:44,040 --> 00:02:51,220 +عندي رمزين للابلاسات transform لدالة F of Tلأ بلاس + +31 +00:02:51,220 --> 00:02:58,660 +لل F of T أو F of S هذا + +32 +00:02:58,660 --> 00:03:07,380 +لأ بلاس ال transform is defined by بقول لأ بلاس + +33 +00:03:07,380 --> 00:03:14,130 +لدلة F of T بين قوسين متوسطين عملياهي تكامل من + +34 +00:03:14,130 --> 00:03:19,230 +zero إلى infinity لل E اصناق ST لل F of T DT يعني + +35 +00:03:19,230 --> 00:03:22,430 +ايش؟ يعني الدلة اللى بدي اوجد لها Laplace + +36 +00:03:22,430 --> 00:03:26,110 +Transform بادرح بدربها في ال exponential function + +37 +00:03:26,110 --> 00:03:32,490 +E اصناق ST وبكامل حصل ضرب الدلتين من وين اللي وين + +38 +00:03:32,940 --> 00:03:38,720 +من صفر إلى infinity الآن هذا تكامل محدود تمام يبقى + +39 +00:03:38,720 --> 00:03:43,440 +لما اكمل الدالة هتطلع عندي دلة بدلالة ال S ومن هنا + +40 +00:03:43,440 --> 00:03:49,240 +قلنا capital F of S تمام يعني بعد ما اقوم باجراء + +41 +00:03:49,240 --> 00:03:53,660 +عملية التكامل هتبقى الدالة عند بني بدلة S لإن احا + +42 +00:03:53,660 --> 00:03:59,260 +عوض بحدود التكامل بدل T إذا S هتبقى هي ظهر في + +43 +00:03:59,260 --> 00:04:00,660 +المثل ومن هنا بقول + +44 +00:04:05,460 --> 00:04:12,660 +لو جت واطلعت في هذا التكامل بلاحظ أن أحد حدود + +45 +00:04:12,660 --> 00:04:17,660 +التكامل infinity واحنا في calculus بيقولنا بقول عن + +46 +00:04:17,660 --> 00:04:23,140 +التكامل improper integral إذا كان أحد حدود التكامل + +47 +00:04:23,370 --> 00:04:29,650 +أو كلاهما infinity أو الدالة مش معرفة عند نقطة + +48 +00:04:29,650 --> 00:04:35,190 +وهذه النقطة موجودة داخل فترة التكامل المحدود، + +49 +00:04:35,190 --> 00:04:39,770 +مظبوط؟ نقطة تانية خلّينا منها يبقى بدنا نيجي عند + +50 +00:04:39,770 --> 00:04:43,630 +النقطة الأولى لو كان أحد حدود التكامل أو كلاهما + +51 +00:04:43,630 --> 00:04:49,150 +infinity وكمان كلاهما بدنا نشييها لو كان أحد حدود + +52 +00:04:49,150 --> 00:04:54,380 +التكامل هو infinityيبقى تكامل من وين من zero إلى + +53 +00:04:54,380 --> 00:04:59,740 +infinity يبقى هذا improper integral فقط بسبب وجود + +54 +00:04:59,740 --> 00:05:04,440 +من ال infinity اللي عندنا لو رجعنا بالذاكرة إلى + +55 +00:05:04,440 --> 00:05:07,900 +الوراء إلى calculus بيه ال improper integral + +56 +00:05:07,900 --> 00:05:14,540 +بنحسبه as a limit فبروح بقول التكامل هذا هو limit + +57 +00:05:14,540 --> 00:05:20,270 +بشيل ال infinity و بحط بدالها real number aوبخلّي + +58 +00:05:20,270 --> 00:05:23,430 +ال a لاخد ال limit لما ال a بدأ تروح ل infinity + +59 +00:05:23,430 --> 00:05:28,470 +يعني انا بروح بكامل التكامل هذا عادي جدا بأي طريقة + +60 +00:05:28,470 --> 00:05:32,690 +من طرق التكامل التي سبقت دراستها بعوب بحدود + +61 +00:05:32,690 --> 00:05:37,070 +التكامل وبعد ما عوب باخد ال limit لما a بدأ تروح + +62 +00:05:37,070 --> 00:05:42,050 +لوين لل ما لا نهاية لما ناخد هذه ال limit احتمال + +63 +00:05:42,050 --> 00:05:47,240 +تطلع قيمة عدديةوإحتمال تطلع infinity أو سالب + +64 +00:05:47,240 --> 00:05:52,640 +infinity، مظبوط؟ إذا طلعت قيمة عددية بقول التكامل + +65 +00:05:52,640 --> 00:05:57,000 +converge، وإذا ما طلعتش قيمة عددية يطلع infinity + +66 +00:05:57,000 --> 00:06:01,000 +ولا سالب infinity بقول التكامل ماله diverge، هذه + +67 +00:06:01,000 --> 00:06:05,920 +معلوماتنا من Calculus Bالتكامل اللي عندنا هو الـ + +68 +00:06:05,920 --> 00:06:09,100 +Improper Integral بحسبه في الطريقة اللي عندنا هذا + +69 +00:06:09,100 --> 00:06:13,240 +التكامل هو الـ Converge إذا لم يكن هناك مقاومة + +70 +00:06:13,240 --> 00:06:18,420 +وإذا لم يكن هناك مقاومة بقول عنه الـ Diverge يبقى + +71 +00:06:18,420 --> 00:06:21,100 +هذا الـ Diverge إذا لم يكن هناك مقاومة + +72 +00:06:25,460 --> 00:06:31,520 +يبقى اللي فوق هذا تعريف من Laplace transform لو + +73 +00:06:31,520 --> 00:06:35,060 +قال لك سواء اتي ل Laplace transform لدالة بروح + +74 +00:06:35,060 --> 00:06:40,020 +بضرب الدالة دي في E وسنقص ST و بكامل من zero إلى + +75 +00:06:40,020 --> 00:06:43,780 +infinity و بعدين بشغل شغل ال improper integral + +76 +00:06:43,780 --> 00:06:48,940 +يعني كأنهالمحاضرة تبعتنا هذه هي محاضرة improper + +77 +00:06:48,940 --> 00:06:54,220 +integrals يعني كأن احنا بدنا نعود الـ improper + +78 +00:06:54,220 --> 00:06:57,800 +integral اللي في chapter 8 اللي هو اخر section من + +79 +00:06:57,800 --> 00:07:02,860 +chapter 8 من calculus B طيب في تعريف جديد هذا + +80 +00:07:02,860 --> 00:07:07,900 +ماكناش بنعرفه في calculus B function f is said to + +81 +00:07:07,900 --> 00:07:14,020 +be piecewise continuous ايش معناه piece؟ قطةيبقى + +82 +00:07:14,020 --> 00:07:19,160 +لما أقول piecewise continuous كأنها مقطعة إلى + +83 +00:07:19,160 --> 00:07:24,240 +أجزاء على كل جزء، الدالة بتبقى دالة متاصلة، يبقى + +84 +00:07:24,240 --> 00:07:26,500 +هي المقصود بال piecewise continuous، أنا عندي + +85 +00:07:26,500 --> 00:07:31,300 +فترة، الفترة مجزة إلى فترتين، إلى تلاتة، إلى أربع، + +86 +00:07:31,300 --> 00:07:35,660 +إلى خمسة، إلى عشرة، إلى إيه من الفترات، على كل + +87 +00:07:35,660 --> 00:07:40,660 +فترة من هذه الفترات، الدالة بتبقى معاهاcontinuous + +88 +00:07:40,660 --> 00:07:44,140 +مايعادى عند النقاط اللى عشان اللى عندها + +89 +00:07:44,140 --> 00:07:50,060 +discontinuity دى بجهة دى بقول كإنها متصلة جزئيا ده + +90 +00:07:50,060 --> 00:07:56,640 +لامقطعة على كل قطعة بتفجيها ده لامتصلةإذا كانت + +91 +00:07:56,640 --> 00:08:00,120 +متصلة + +92 +00:08:00,120 --> 00:08:06,820 +جزئيا أو على قطع on an interval على الفترة T من + +93 +00:08:06,820 --> 00:08:13,040 +Alpha إلى Beta if it is continuous إذا كانت متصلة + +94 +00:08:13,040 --> 00:08:16,560 +there هناك يعني على الفترة من Alpha إلى Beta + +95 +00:08:16,560 --> 00:08:22,730 +exceptما عدا for a finite number لرقم محدود of + +96 +00:08:22,730 --> 00:08:28,130 +jump discontinuities يبقى بيكون عندنا عدم اتصال + +97 +00:08:28,130 --> 00:08:34,250 +بقفزة لأن انواع ال discontinuity وممكن نقول في + +98 +00:08:34,250 --> 00:08:39,670 +calculus ان ال discontinuity ممكن نعمله removable + +99 +00:08:39,670 --> 00:08:46,070 +إزالة تمام؟ يعني لو كان عند نقطة ما في + +100 +00:08:46,070 --> 00:08:52,480 +discontinuityمش jump مش jump لا يمكن ازالته بس لو + +101 +00:08:52,480 --> 00:08:57,020 +كان تجويف عند نقطة بروح بعرف ال function بطريقة + +102 +00:08:57,020 --> 00:09:01,180 +جديدة و باخد ال limit عندما x تروح لهذه النقطة و + +103 +00:09:01,180 --> 00:09:05,560 +بعرف الدالة ك piecewise function دالة مكونة من + +104 +00:09:05,560 --> 00:09:09,040 +جزئين وبالتالي بيخلي ال discontinuity بيخلي قيمة + +105 +00:09:09,040 --> 00:09:12,040 +الدالة عند هذه النقطة تساوي ال limit وبالتالي + +106 +00:09:12,040 --> 00:09:15,700 +استطعت ازالة ال discontinuity لكن ال discontinuity + +107 +00:09:15,700 --> 00:09:19,700 +اللي انا معلومJump discontinuity في كمة + +108 +00:09:19,700 --> 00:09:24,620 +discontinuity تالت اللي هو infinite discontinuity + +109 +00:09:24,620 --> 00:09:27,460 +يعني ال discontinuity اللي بيحصل عند اللي هو + +110 +00:09:27,460 --> 00:09:31,220 +المالة نهاية يبقى هذا اللي لا يمكن ازالته و ال + +111 +00:09:31,220 --> 00:09:34,520 +jump discontinuity اللي لا يمكن ازالته و النوع + +112 +00:09:34,520 --> 00:09:38,040 +التالت هو اللي بنزيله مالناهش علاقة فيه احنا بس + +113 +00:09:38,040 --> 00:09:42,360 +بدنا اللي في النص اللي هو jump discontinuityيبقى + +114 +00:09:42,360 --> 00:09:46,840 +فينا jump discontinuity عند عدد محدود نوضح هذا + +115 +00:09:46,840 --> 00:09:50,840 +الكلام من خلال الرصم اللي قدامنا بقول الدالة اللي + +116 +00:09:50,840 --> 00:09:59,800 +عندنا هذه اللي هي ال ال F is piecewise + +117 +00:10:00,410 --> 00:10:05,650 +الشكل اللي عندنا هو discontinuous on الفترة من + +118 +00:10:05,650 --> 00:10:11,330 +alpha لغاية beta بالشكل اللي عندنا هنا يبقى عند ال + +119 +00:10:11,330 --> 00:10:15,330 +alpha في اتصال من جهة اليمنان و beta في اتصال من + +120 +00:10:15,330 --> 00:10:19,650 +جهة الشمال عند T1 و T2 في discontinuity و + +121 +00:10:19,650 --> 00:10:24,110 +discontinuity هذا jumpقفزت من النقطة هذه إلى + +122 +00:10:24,110 --> 00:10:28,690 +النقطة هذه، من هنا قفزت من هنا لهنا، من هنا قفزت + +123 +00:10:28,690 --> 00:10:32,630 +لهنا، بعد هيك صارت اللي اللي هو ال continuity هذا، + +124 +00:10:32,630 --> 00:10:38,970 +يبقى على الخط المائل هذا continuous على القوس هذا + +125 +00:10:38,970 --> 00:10:43,750 +continuous على القوس هذا continuous، لكن عند T1 و + +126 +00:10:43,750 --> 00:10:48,870 +T2في عندي jump discontinuity يبقى هذه بسميها + +127 +00:10:48,870 --> 00:10:55,150 +piecewise function طيب الآن بنجي للنقطة الثانية + +128 +00:10:55,150 --> 00:11:02,750 +وهي متى يمكن نعمل transform لدى اللى تم شروط + +129 +00:11:02,750 --> 00:11:07,210 +اللازم تتحقق في ال function طبعا احنا لن نبحث هذه + +130 +00:11:07,210 --> 00:11:11,950 +الشروط في المسائل لأن كل المسائل اللى معطيه عندنا + +131 +00:11:11,950 --> 00:11:15,500 +في الكتاب فنطبق عليه هذه الشروط وبالتاليبروح ما + +132 +00:11:15,500 --> 00:11:20,300 +علينا إلا نحسب لبلاس ال transform مباشرة بقول + +133 +00:11:20,300 --> 00:11:25,040 +افترض ان ال F شرطين F بيسوازي continuous يعني + +134 +00:11:25,040 --> 00:11:29,060 +بالشكل اللي عندنا هذا تمام يبقى وين on the + +135 +00:11:29,060 --> 00:11:33,220 +interval من zero ل A for any positive number A + +136 +00:11:33,220 --> 00:11:39,100 +يعني أخدنا من عند ال zero لأي رقم بدكي يوجه فيه + +137 +00:11:39,100 --> 00:11:44,510 +عند أي رقم لجيت الدالة مقطعة إلى جزئينلثلاث قطع + +138 +00:11:44,510 --> 00:11:48,210 +لاربع قطع لعشر قطع جد ما يكون يكون piecewise + +139 +00:11:48,210 --> 00:11:53,530 +continuous النقطة الثانية أخدت absolute value لمين + +140 +00:11:53,530 --> 00:12:01,750 +لل F of T وجدت أقل من أو يسوى K في E أس Tلما أقول + +141 +00:12:01,750 --> 00:12:06,070 +أخدت absolute value ل F of T يعني عمرها ما هتطلع + +142 +00:12:06,070 --> 00:12:11,270 +سالبة صحيح ولا لا؟ يبقى الرقم اللي على اليمين هذا + +143 +00:12:11,270 --> 00:12:16,630 +ليس يمكن أن يكون سالب لأن هذه أقل منه طبعا أعرف أن + +144 +00:12:16,630 --> 00:12:21,990 +ال exponential دائما و أبدا موجب إذن ال Kدائما و + +145 +00:12:21,990 --> 00:12:26,270 +أبدا اش بدى يكون موجب حتى يكون الكلام الصحيح حتى + +146 +00:12:26,270 --> 00:12:31,450 +ال absolute هذا يكون أقل من أو يسوى من هذا الرقم + +147 +00:12:31,450 --> 00:12:36,610 +where T أكبر من أو يسوى M يعني انا ممكن اخد T من + +148 +00:12:36,610 --> 00:12:40,630 +عند حد معين اخدت ال T من هنا من وين؟ من عند ال + +149 +00:12:40,630 --> 00:12:45,270 +alpha يبقى انا عندي T أكبر من alphaيبقى Alpha رقم + +150 +00:12:45,270 --> 00:12:49,270 +موجب أخدته من عند النقطة هذه يبقى هذا رقم موجب + +151 +00:12:49,270 --> 00:12:53,390 +يبقى M بدأ تبدأ ترسم من عند النقطة هذه و نمشي وين؟ + +152 +00:12:53,390 --> 00:12:58,710 +على اليمين يبقى where T أكبر من ما يسوى M الان K + +153 +00:12:58,710 --> 00:13:03,990 +والA والM ال K والA والM اللي T أكبر منها كلهم + +154 +00:13:03,990 --> 00:13:08,690 +real constantsزيادة على ذلك ال K و ال M are + +155 +00:13:08,690 --> 00:13:13,290 +necessarily positive وهذا شرط له قلت لك هذه + +156 +00:13:13,290 --> 00:13:17,530 +positive دائما و أبدا إذا هذه يجب أن تكون positive + +157 +00:13:17,530 --> 00:13:24,130 +لأن هذه absolute value مطلعش إلا قيمة موجبةطيب إذا + +158 +00:13:24,130 --> 00:13:28,710 +حدث ذلك تحقق قضان الشرطان يبقى دي ال aplastic + +159 +00:13:28,710 --> 00:13:33,250 +transform بيكون اللي هو التعريف اللي احنا حطناه + +160 +00:13:33,250 --> 00:13:38,270 +هنا لدى ال F of T هو capital F of this يبقى هو E + +161 +00:13:38,270 --> 00:13:42,550 +من التكامل من zero الى infinity لل E واس ناقص ST + +162 +00:13:42,550 --> 00:13:48,490 +لل F of T DT بيكون هذا exist for S greater than A + +163 +00:13:48,490 --> 00:13:52,150 +يبقى هذا الضمان اللي بتخلي + +164 +00:13:56,060 --> 00:14:00,620 +مطلوب في شغلنا نبحث هذه الضمنة لأ بيقولك هتيلي بس + +165 +00:14:00,620 --> 00:14:05,160 +Laplace transform لدالة الفلانية في كل مثال كتابه + +166 +00:14:05,160 --> 00:14:11,060 +بضل عليكي بس تحسب مين ال improper integrals طبعا + +167 +00:14:11,060 --> 00:14:15,370 +ضايلة خاصية عندي لLaplace transformحشير إليها بعد + +168 +00:14:15,370 --> 00:14:21,830 +قليل بعد أن ناخد بعض الأمثلة إذا بدأ ناخد بعض + +169 +00:14:21,830 --> 00:14:35,330 +الأمثلة لكيفية حساب لبلاس ترانسفورم لدالة ما حد + +170 +00:14:35,330 --> 00:14:40,210 +في كوبنات بتقدر تجيب لي piecewise continuous يعني + +171 +00:14:40,210 --> 00:14:43,110 +function تبقى piecewise + +172 +00:14:51,960 --> 00:14:59,580 +نقسم الـ real line الى فترة اتنين ونقسم + +173 +00:14:59,580 --> 00:15:04,860 +الـ real line الى فترة اتنين ونقسم الـ real line + +174 +00:15:04,860 --> 00:15:10,400 +الى فترة اتنين ونقسم الـ real line الى فترة اتنين + +175 +00:15:10,420 --> 00:15:14,540 +Positive Integer يبقى زادة أو ناقص الانبعي ما شاء + +176 +00:15:14,540 --> 00:15:18,380 +الله عليها مالة نهاية من الفترات لكن مااخدش مالة + +177 +00:15:18,380 --> 00:15:21,820 +نهاية من الفترات باخد من عند السفر إلى infinity + +178 +00:15:21,820 --> 00:15:27,360 +طبقا للتعريف تبعنا تمام و هكذا طيب نبدأ ناخد بعض + +179 +00:15:27,360 --> 00:15:38,480 +الأمثلة يبقى examples find + +180 +00:15:40,120 --> 00:15:50,100 +the Laplace transform for + +181 +00:15:50,100 --> 00:16:07,680 +each of the following functions أول سؤال بدنا نمرأ + +182 +00:16:07,680 --> 00:16:19,030 +أيه؟الـ F of T تساوي E أُس AT والـ T greater than + +183 +00:16:19,030 --> 00:16:28,590 +or equal to zero وكمان نمرة B بدنا ال F of T يساوي + +184 +00:16:28,590 --> 00:16:35,750 +واحد صحيح نمرة C بدنا ال F of T يساوي E أُس ناقص + +185 +00:16:35,750 --> 00:16:36,350 +AT + +186 +00:16:38,930 --> 00:16:43,950 +بنجيب لبلاس ترانسفورب لكل ذالب من الدوال السلال + +187 +00:16:43,950 --> 00:16:48,370 +هذول يعتبروا ثلاثة أسئلة منفصلة لكن في الحقيقة + +188 +00:16:48,370 --> 00:16:52,270 +سؤال واحد و هذول بنستخدم تيجيهم من مين من شكل + +189 +00:16:52,270 --> 00:16:58,940 +السؤال اللي عندنا يبقى باجي ل solutionوبدي اخد + +190 +00:16:58,940 --> 00:17:00,160 +نمرة A + +191 +00:17:28,440 --> 00:17:34,680 +يبقى انا طبقت التعريف تطبيقا حرفيا EOS-ST كتبتها + +192 +00:17:34,680 --> 00:17:39,500 +شيلت ال F of T و حطيت قيمتها ل EOSAT + +193 +00:17:44,420 --> 00:17:50,840 +انتجرال يبقى بده اعسبه as a limit limit وهي تكامل + +194 +00:17:50,840 --> 00:17:56,180 +zero بخليها زي ما هي infinity ماهواش رقم فبستبدله + +195 +00:17:56,180 --> 00:18:02,040 +بالرقم a و بخلي ال a تروح ل infinity هدول اللي جوا + +196 +00:18:02,040 --> 00:18:07,470 +يا بنات حاصل ضرب يبقاش بيحصل في الأسسمش معها جامعة + +197 +00:18:07,470 --> 00:18:14,290 +يعني هذه ناقص ST زائد AT ممكن أخد T عامل مشترك + +198 +00:18:14,290 --> 00:18:21,310 +وبالتالي يصير E أس ناقص S ناقص ATDT + +199 +00:18:31,310 --> 00:18:36,930 +نرجع لهذا الكلام يساوي ال limit لما ال a tends to + +200 +00:18:36,930 --> 00:18:41,800 +infinityتكامل الـ exponential بالـ exponential + +201 +00:18:41,800 --> 00:18:47,440 +itself مقسوما على تفاضل الأُس لما الأُس يكون من + +202 +00:18:47,440 --> 00:18:52,800 +الدرجة الأولى واضح أنه T أُس واحد يبقى الأُس عندي + +203 +00:18:52,800 --> 00:18:57,820 +من الدرجة الأولى يبقى النتيجة ال exponential كما + +204 +00:18:57,820 --> 00:19:04,800 +هي في T مقسوما على نقص ال S نقص ال A اللي هو + +205 +00:19:04,800 --> 00:19:11,780 +المعامل تبع من تبع ال Tيبقى هاي كاملتها تماما وهذا + +206 +00:19:11,780 --> 00:19:17,760 +من وين لوين من عند ال zero لغاية من ال a الآن + +207 +00:19:17,760 --> 00:19:23,760 +بتعوض بحدود التكامل ومن ثم تروح ناخد ال limit يبقى + +208 +00:19:23,760 --> 00:19:28,000 +هذا الكلام بده يسوي ال limit لما ال a tends to + +209 +00:19:28,000 --> 00:19:39,830 +infinity لمن؟ لل E أس ناقص S ناقص Aفي A على ناقص S + +210 +00:19:39,830 --> 00:19:41,770 +ناقص ال A + +211 +00:20:07,350 --> 00:20:15,170 +طلعيني هنا لما ال a بدها تروح ل infinity بنزلها + +212 +00:20:15,170 --> 00:20:19,730 +تحت بصير موجة ب infinity يعني بصير واحد على + +213 +00:20:19,730 --> 00:20:26,370 +infinity يبجى هذا ال term كله بروح بالسفارةيبقى + +214 +00:20:26,370 --> 00:20:32,670 +هذا بده صير zero ناقص مع ناقص بالصير زائد واحد على + +215 +00:20:32,670 --> 00:20:40,230 +S ناقص ال A يبقى النتيجة النهائية واحد على S ناقص + +216 +00:20:40,230 --> 00:20:47,880 +ال A وال S greater than Aليش ال S greater than A؟ + +217 +00:20:47,880 --> 00:20:54,720 +لأن لو S كانت أقل من A، لأ صار ناقص فناقص بزائد + +218 +00:20:54,720 --> 00:20:59,880 +وظلت هذه في البص، وبالتالي ماكنتش نتيجة زي هيك، + +219 +00:20:59,880 --> 00:21:03,600 +يبقى اللي خلى النتيجة زي هيك أن S دائما و أبدا + +220 +00:21:03,600 --> 00:21:10,020 +greater thanيبقى من الآن فصاعدا ل plus transform + +221 +00:21:10,020 --> 00:21:16,060 +لل E أُس A T هو واحد على S ناقص ال A و اللحظة يا + +222 +00:21:16,060 --> 00:21:20,960 +بناتي ان النتيجة طلعت function في main في S كما + +223 +00:21:20,960 --> 00:21:26,120 +زعمنا قبل قليل ان هذه بتطلع function في main في S + +224 +00:21:26,120 --> 00:21:32,230 +و بضلش عندي T نهائي بالمرةبعد إجراء عملية التكامل + +225 +00:21:32,230 --> 00:21:38,070 +يصبح النتيجة 1 على S نقص اللي قد نقل عليها لو قلت + +226 +00:21:38,070 --> 00:21:44,050 +جدش ل plus transform ل E أس ثلاثة T تقوليني 1 على + +227 +00:21:44,050 --> 00:21:45,090 +S نقص 3 + +228 +00:21:50,040 --> 00:21:57,760 +بنص T بيصير 1 على S ناقص نص وهكذا يبقى خلاص ماعليه + +229 +00:21:57,760 --> 00:22:02,800 +إلا أشيل A و أحط الرقم اللي عندنا هذا بناء عليه + +230 +00:22:02,800 --> 00:22:08,300 +حروح أجيب اللي هو B وC يبقى هذا اللي هو A بده يجي + +231 +00:22:08,300 --> 00:22:14,840 +ل B بده ل plus transform ل مين هوللواحد صحيح ولا + +232 +00:22:14,840 --> 00:22:21,260 +لا طيب هل ممكن احصل على الواحد من الدالة هذه لو + +233 +00:22:21,260 --> 00:22:27,860 +كانت ال a ب zero يبقى بصير e أس zero له بواحد يبقى + +234 +00:22:27,860 --> 00:22:36,460 +باجي بقوله if ال a تساوي zero then e أس at بده + +235 +00:22:36,460 --> 00:22:44,260 +يساوي e أس zero اللي هو واحديبقى لبلاسي ترانسفورم + +236 +00:22:44,260 --> 00:22:52,240 +يبقى لبلاسي ترانسفورم للواحد هو لبلاسي ترانسفورم ل + +237 +00:22:52,240 --> 00:23:00,120 +E أس زيرو في T يبقى مكان ال E كده شجعني؟ Zero يبقى + +238 +00:23:00,120 --> 00:23:08,410 +هنا واحدعلى S ناقص الـ Zero يعني واحد على S والـ S + +239 +00:23:08,410 --> 00:23:14,190 +greater than Zero يبقى من الأن فصاعدا يا بنات بدك + +240 +00:23:14,190 --> 00:23:19,230 +تعرفيه Automatic ان لابلاس ترانسفورم للواحد الصحيح + +241 +00:23:19,230 --> 00:23:25,190 +يسوي كدهبعد قليل هقولي قدش ل plus لل إتنين قدش ل + +242 +00:23:25,190 --> 00:23:29,510 +plus ل تلاتة قدش ل plus ل نص قدش ل plus ل مية و + +243 +00:23:29,510 --> 00:23:33,810 +هكذا تمام؟ بس خليها المعلومة هذه عندك وسنرجع لها + +244 +00:23:33,810 --> 00:23:39,090 +كثيرا خلال شغلنا طيب نروح الأن لنمرسى + +245 +00:23:53,800 --> 00:24:02,100 +نمرسى بدي لابلاس ترانسفورم للإي والسالب اتي ايش + +246 +00:24:02,100 --> 00:24:07,880 +افرجت عن السؤال اللى عندي بس ال a صارت بالسالب + +247 +00:24:07,880 --> 00:24:13,380 +يبقى انا بدي اجي على النتيجة دى واستبدل كل a بسالب + +248 +00:24:13,380 --> 00:24:21,280 +a بكون وصلت للنتيجة يبقى هذه باجي بقوله from part + +249 +00:24:21,280 --> 00:24:31,240 +aنحن لدينا لبلاس ترانسفورم لل E اص ناقص AT يسوى + +250 +00:24:31,240 --> 00:24:39,740 +واحد على S ناقص ناقص A يبقى + +251 +00:24:39,740 --> 00:24:47,580 +نتيجة واحد على S زائد Aأنا بقولش أكبر من إيه و لا + +252 +00:24:47,580 --> 00:24:51,900 +أصغر من إيه، مدام جامع يبقى معنا مشكلة في هذه + +253 +00:24:51,900 --> 00:24:57,940 +الحالة، تمام؟ طبعا هذا من أبسط أنواع الأمثلة إلا + +254 +00:24:57,940 --> 00:25:02,840 +لابد اللي لف ولا درم مباشر، مفيش فيه تعب، انتجلي + +255 +00:25:02,840 --> 00:25:09,760 +شوية مثال اتنين بدنا + +256 +00:25:09,760 --> 00:25:23,420 +فعينلو لا بلاس ترانسفورم لدالا صين اي تي بس + +257 +00:25:23,420 --> 00:25:28,460 +هذا مش كتير يبقى بده احط التعريف يبقى باجي بقوله + +258 +00:25:28,460 --> 00:25:33,620 +solution بدلا + +259 +00:25:33,620 --> 00:25:40,160 +بلاس لصين اي تييبقى sin at هي ال f of t ال + +260 +00:25:40,160 --> 00:25:44,860 +function اللي عندنا يبقى طبقة للتعريف integration + +261 +00:25:44,860 --> 00:25:55,000 +من zero ل infinity لل E أس ناقص ST ل sin at dt + +262 +00:25:57,900 --> 00:26:02,200 +هذا الـ Improper Integral يبقى بيطبق خاصية الـ + +263 +00:26:02,200 --> 00:26:06,880 +Improper Integral يبقى الـ Limit تكامل من Zero لـ + +264 +00:26:06,880 --> 00:26:13,420 +A لما الـ A بده تروح ل Infinity للـ E أُس ناقص ST + +265 +00:26:13,420 --> 00:26:23,860 +لـ Sin ATDT إذا بروح أكمل هذه المسألة كيف بنكمل + +266 +00:26:23,860 --> 00:26:29,720 +هذه يا بنات؟بتتجزى integration bypass يبقى بداخل U + +267 +00:26:29,720 --> 00:26:35,380 +ده اللى و الباقى كله بيكون DV طبعا هذه زى ما + +268 +00:26:35,380 --> 00:26:39,700 +بيقولوا ضرب العميان صيب اش ما تاخد صح ان اخدت ال U + +269 +00:26:39,700 --> 00:26:44,400 +ال exponential و ال DV ال sign ماشى ان اخدت ال U + +270 +00:26:44,400 --> 00:26:47,970 +ال sign و ال DV ال exponential ماشى ليش؟لأن + +271 +00:26:47,970 --> 00:26:52,850 +الاشتقاق أو التكامل لـSin هو Sin Cos Sin Cos و الـ + +272 +00:26:52,850 --> 00:26:56,030 +Exponential تكامل الله تعالى بفضل كيف ما يكون الـ + +273 +00:26:56,030 --> 00:27:00,490 +Exponential كمية بيبقى يا بضرب في رقم يا بجسم على + +274 +00:27:00,490 --> 00:27:04,890 +رقميك بإيش ماتاخده صحيح يبقى انا لو روحت في الامش + +275 +00:27:04,890 --> 00:27:12,030 +قولت خد ال U تساوي E أس ناقص ST و خد ال DV اللي هو + +276 +00:27:12,030 --> 00:27:14,870 +Sin ATDT + +277 +00:27:18,590 --> 00:27:25,470 +كويس يبقى ال D يبدأ تساوي ال X ما ننشل زي ما هو + +278 +00:27:25,470 --> 00:27:33,130 +مضروب في تفاضل ال S يبقى ناقص S في ناقص ST في ال + +279 +00:27:33,130 --> 00:27:39,550 +DTيبقى الـ exponential زي ما هي ضرب مشتقة الـ S + +280 +00:27:39,550 --> 00:27:45,390 +بالنسبة إلى T اللي هو بناقص S فمين في DT هذه بدي + +281 +00:27:45,390 --> 00:27:52,950 +أكاملها تكامل الصين بقداشسالب كوصين يبقى سائل V + +282 +00:27:52,950 --> 00:28:01,670 +تساوي سالب كوصين AT على مين على اين والزائد كونصة + +283 +00:28:01,670 --> 00:28:05,250 +انت ما تكتبش و بتاخديه ب zero دائما و أبدا لسهولة + +284 +00:28:05,250 --> 00:28:10,130 +كما درسنا في calculus B طيب الآن هذا الكلام بده + +285 +00:28:10,130 --> 00:28:18,280 +يساوي limit لما ال A tends to infinityبدا جى اخد U + +286 +00:28:18,280 --> 00:28:26,820 +في V طاليل هنا هي ناقص U في V يبقى ناقص واحد على A + +287 +00:28:26,820 --> 00:28:39,040 +ل E أس ناقص ST في cosine AT تمام هذا U في V ناقص + +288 +00:28:39,540 --> 00:28:51,520 +تكامل من Zero إلى Vداليو V ناقص Cos A T على A في + +289 +00:28:51,520 --> 00:29:01,960 +داليو ناقص S E أس ناقص S T في DT تمام؟ بدي أعيد + +290 +00:29:01,960 --> 00:29:03,340 +ترتيب المسألة + +291 +00:29:05,780 --> 00:29:10,300 +هذا لو السلب بقدر اناسله تحت و اخليه موجب يبقى + +292 +00:29:10,300 --> 00:29:16,420 +high limit لما ال a tends to infinity لمن لناقص + +293 +00:29:16,420 --> 00:29:24,440 +cosine at على a في ال E أُس S T و الحكي هذا من و + +294 +00:29:24,440 --> 00:29:33,390 +لا وين من zero لغاية a يبقى من zero لغاية aبنجي + +295 +00:29:33,390 --> 00:29:39,470 +لبعدها عندك سالب و سالب و سالب تلاتة سالب بسالب + +296 +00:29:39,470 --> 00:29:45,110 +واحد يبقى هاي السالب عندك S مقدر ثابت و ايه مقدر + +297 +00:29:45,110 --> 00:29:52,830 +ثابت برا التكامل يبقى ناقص S على A تكامل من zero + +298 +00:29:52,830 --> 00:30:01,670 +إلى A لل E أس ناقص ST ل cosine ATDT + +299 +00:30:05,400 --> 00:30:12,760 +طيب نجي للمقدار اللى عندنا هذا بدي أشيل كل T و أحط + +300 +00:30:12,760 --> 00:30:20,140 +مكانهاش A يبقى هذا الكلام بده يساوي limit لما ال A + +301 +00:30:20,140 --> 00:30:30,480 +tends to infinity لناقص cosine AA على AEOSSA + +302 +00:30:31,630 --> 00:30:37,170 +نقص مع نقص بيصير زاد بدي اشيل ال T و اضع مكانها + +303 +00:30:37,170 --> 00:30:41,990 +واحد يبقى ايش بيصير هنا بدي اشيل ال T و اضع مكانها + +304 +00:30:41,990 --> 00:30:45,990 +zero بيصير cosine صفر اللي بيبقى ال dash بواحد + +305 +00:30:45,990 --> 00:30:55,160 +يبقى واحدE أُس Zero واحد في A بـ A يبقى زائد واحد + +306 +00:30:55,160 --> 00:31:03,780 +على A ال limit للمقدار هذا كله ووصلنا ناقص S على A + +307 +00:31:03,780 --> 00:31:10,280 +في limit لما ال A tends to infinity لتكامل من Zero + +308 +00:31:10,280 --> 00:31:17,740 +إلى A لل E أس ناقص ST ل cosine ATDT + +309 +00:31:36,770 --> 00:31:41,990 +طيب تعالى نشوف المقدار الأول ايه بده تروح لوين؟ + +310 +00:31:41,990 --> 00:31:49,390 +للملنها بسلب والبسط هذا محصور من وين لوين البسط + +311 +00:31:49,390 --> 00:31:55,630 +cos محصور من وين لوين سلب واحد يعني رقم محصور ما + +312 +00:31:55,630 --> 00:32:01,010 +بين الاتنين مظبوط ولا لا المقام هذا لما ايه بده + +313 +00:32:01,010 --> 00:32:02,850 +تروح للملنها جديش بالسيارة + +314 +00:32:18,650 --> 00:32:23,350 +ممكن اجيبه بطريقة تانية اروح اقول اه ال cosine + +315 +00:32:23,350 --> 00:32:29,120 +محصور بين سالب واحد و واحدأضرب الطرفين في 1 على a + +316 +00:32:29,120 --> 00:32:35,860 +في e أس s على a يبقى 1 على a e أس s في a يبقى + +317 +00:32:35,860 --> 00:32:41,000 +بيصير 1 على ما لا نهاية ب zero أقل من أو يسوي ال + +318 +00:32:41,000 --> 00:32:46,550 +limit ال cosine على المقدرة ده أقل من أو يسوي1 على + +319 +00:32:46,550 --> 00:32:50,650 +ما لديها بـ 000 بساندوش تيرام يبقى اللي فى النص + +320 +00:32:50,650 --> 00:32:56,230 +بقداش بـ 0 إذا ال limit هذا كله بـ 0 مع السلامة + +321 +00:32:56,230 --> 00:33:02,130 +غير مأسوف عليه بظلمينا عندنا هنا 1 على ايه ناقص + +322 +00:33:02,130 --> 00:33:09,270 +المقدار هذا يبقى هذا بده يساوي ل plus ل sign AT + +323 +00:33:09,270 --> 00:33:19,400 +بده يساوي 1 على ايهناقص او لا مش ناقص ناقص S على F + +324 +00:33:19,400 --> 00:33:29,180 +E هذا نفس القصة زي اللي فوق يبقى بيدروح اخدله ال U + +325 +00:33:29,180 --> 00:33:41,070 +تساوي E أس ناقص ST و بدي اخدي ال DV Cos ATDT يبقى + +326 +00:33:41,070 --> 00:33:51,890 +بدنا ال DU بناقص S E أس ناقص ST DT وال V بصين A T + +327 +00:33:51,890 --> 00:34:01,650 +على A تمام يبقى U في V يبقى هماش خلاص ما كتبناش ال + +328 +00:34:01,650 --> 00:34:06,610 +limit بدنا نكتب ال limit قبل هذا يبقى هذا ال limit + +329 +00:34:07,390 --> 00:34:13,990 +لما a tends to infinity لمن؟ للنتيجة اللى عندنا U + +330 +00:34:13,990 --> 00:34:24,050 +في V يبقى E أص ناقص ST E أص ناقص ST sin AT كله على + +331 +00:34:24,050 --> 00:34:31,900 +من؟ على A و بالموجةناقص تكامل من zero لغاية الـ a + +332 +00:34:31,900 --> 00:34:38,540 +طبعا التكامل هذا من zero إلى a لمين لل VW ال V + +333 +00:34:38,540 --> 00:34:49,340 +اللي هو sign AT على AW اللي هو ناقص S في E او ناقص + +334 +00:34:49,340 --> 00:34:55,360 +ST في DT يساوي + +335 +00:34:56,450 --> 00:35:05,610 +1 على a ناقص s على a وهذا ال limit لما a tends to + +336 +00:35:05,610 --> 00:35:10,370 +infinity وهي ال ghost بدنا نعوض بالقيمة اللى فوق + +337 +00:35:10,370 --> 00:35:19,750 +ناقص اللى تحت يبقى sign a a على a في e أس s a + +338 +00:35:19,750 --> 00:35:29,150 +اواطنزلها تحت سرتمين بالموجة ناقصزيرو في أي شغلة + +339 +00:35:29,150 --> 00:35:35,570 +اللي هو بزيرو اللي بعدها ناقص مع ناقص اللي هي + +340 +00:35:35,570 --> 00:35:44,990 +بزايد واحد عالي والله S على A في تكامل من Zero إلى + +341 +00:35:44,990 --> 00:35:55,440 +A لل E أس ناقص ST ل sign ATDT وهيجفلنا الجوزيبقى + +342 +00:35:55,440 --> 00:36:01,880 +هذا الكلام بده يساوي مين؟ ال F of S لا plus لهذه + +343 +00:36:01,880 --> 00:36:11,920 +هديها رمز مين؟ F of S يساوي واحد على A ناقص S على + +344 +00:36:11,920 --> 00:36:15,560 +A طلعولي يا بنات ال limit هنا لما ال A بده تروح ل + +345 +00:36:15,560 --> 00:36:21,920 +infinityالمقام بالإنفينيتي وهنا واحد عمل نهاية + +346 +00:36:21,920 --> 00:36:27,500 +يبقى هذا بروح كله بالزيرو يبقى سلم مع السلمة يبقى + +347 +00:36:27,500 --> 00:36:33,400 +اناقص S على A ووصلنا الى S عليه بظل جداش S على A + +348 +00:36:33,400 --> 00:36:41,220 +لكل تربيه وهذه شعر ثمان الناقص ووصلنا الى ال limit + +349 +00:36:41,220 --> 00:36:48,160 +لما ال A بده تروح لإنفينيتيلمين لتكامل من 0 إلى A + +350 +00:36:48,160 --> 00:36:53,820 +لل E أس ناقص ST لصين ATDT + +351 +00:36:56,340 --> 00:37:02,820 +طيب صار capital F of S يساوي واحد على ايه ناقص + +352 +00:37:02,820 --> 00:37:09,060 +استربيع على ايه تربيع هذا بنات لو رجعته الى أصله + +353 +00:37:09,060 --> 00:37:14,220 +مش هو عبارة عن تكامل من zero ل infinity لل EOS + +354 +00:37:14,220 --> 00:37:22,130 +ناقص ST لل sign ATDTصحيح ولا لأ؟ يعني صار capital + +355 +00:37:22,130 --> 00:37:28,830 +F of S يسوى واحد على إيه ناقص S تربية على إيه + +356 +00:37:28,830 --> 00:37:34,230 +تربية وهذا F of S صحيح ولا لأ؟ طيب شو رايك بدي + +357 +00:37:34,230 --> 00:37:38,600 +أجيب هادي على الشجة التانية؟هذه من التكاملات + +358 +00:37:38,600 --> 00:37:42,940 +الدورية بنات لبعض مرتين بطلع رأس المسألة زكريين + +359 +00:37:42,940 --> 00:37:46,460 +integration by parts علّين عليها كتير إذا هذه بدي + +360 +00:37:46,460 --> 00:37:49,800 +وديها على الشجة تاني لو وديتها على الشجة تاني بصير + +361 +00:37:49,800 --> 00:37:56,580 +واحد زائد S تربيع على A تربيع في capital F of S + +362 +00:37:56,580 --> 00:38:03,790 +بديه سوى مين؟ واحد على Aأو بمعنى آخر هذي بقدر اقول + +363 +00:38:03,790 --> 00:38:12,630 +A تربيع زائد S تربيع على A تربيع كل هذا في capital + +364 +00:38:12,630 --> 00:38:18,820 +F of S بده يساوي كده ايه؟ واحد على Aفانا بدي اقف + +365 +00:38:18,820 --> 00:38:26,400 +فوق S اللي بدي دور عليها يبقى F of S بده يسوي قداش + +366 +00:38:26,400 --> 00:38:35,160 +اضرب فوق بصير A تربيع على A في S تربيع زائد من A + +367 +00:38:35,160 --> 00:38:44,420 +تربيعيبقى صار عندي لابلاسي ترانسفورم لصين AT بده + +368 +00:38:44,420 --> 00:38:49,940 +يساوي نختصر ال M على ال A يبقى هذا بده يساوي + +369 +00:38:49,940 --> 00:38:59,140 +capital F of S وهذا بده يصير A على S تربيع زائد A + +370 +00:38:59,140 --> 00:38:59,980 +تربيع + +371 +00:39:04,400 --> 00:39:10,440 +يبقى صار بناء على لبلاس ال transform ل sign AT + +372 +00:39:10,440 --> 00:39:17,160 +يساوي A على S تربيع زائد A تربيع بعد قليل هحسب + +373 +00:39:17,160 --> 00:39:22,460 +الكيها بطريقة أخرى و طلع الكمين نفس النتيجة اللي + +374 +00:39:22,460 --> 00:39:28,580 +هي A على S تربيع زائد A تربيع طب خليني أسأل السؤال + +375 +00:39:28,580 --> 00:39:35,200 +التالي تتوقعلـ plus transform لـ cosine a t ايش + +376 +00:39:35,200 --> 00:39:42,860 +يكون بدل صين مدحوط cosine حد بتقدر قولي شو النتيجة + +377 +00:39:42,860 --> 00:39:51,600 +نفس هذه بالضبط بس بدل ال a بتجي مكانها s بصير s + +378 +00:39:51,600 --> 00:39:56,440 +على s تربيه زي a تربيه فقط لا غير وهذه check + +379 +00:39:56,440 --> 00:39:58,700 +اعمليها في البيت + +380 +00:40:05,990 --> 00:40:13,150 +بعدها نعطيها لك good exercise نفس + +381 +00:40:13,150 --> 00:40:17,010 +التكتيك اللي تبعنا في ال sign بدك تتبعي في ال + +382 +00:40:17,010 --> 00:40:24,930 +cosine حرفيا يبقى هنا بروح نقول good exercise ا + +383 +00:40:24,930 --> 00:40:36,710 +checkthat Laplace transform لcos At ساوي S على S + +384 +00:40:36,710 --> 00:40:44,530 +تربيع زائد A تربيع هذا + +385 +00:40:44,530 --> 00:40:51,270 +كان المثال رقم اتنين بدنا نروح للمثال رقم تلاتة + +386 +00:40:59,930 --> 00:41:12,670 +لت ال F of T بده تسوي T to the power N where ال N + +387 +00:41:12,670 --> 00:41:22,210 +is a positive integer find + +388 +00:41:26,020 --> 00:41:30,080 +لا بلا تترانسفرم ال T to the power N + +389 +00:41:40,350 --> 00:41:44,630 +يبقى انا في عندي function جديدة هذه ال function f + +390 +00:41:44,630 --> 00:41:50,470 +of t يسوى t to the power n و ال n عدد صحيح موجب + +391 +00:41:50,470 --> 00:41:55,150 +كاسرى او سالب ماعناهش علاقة فيه يبقى الشرط أساسي + +392 +00:41:55,150 --> 00:42:00,150 +ان عدد صحيح موجب جالي هادلي لف لسه transform ل t + +393 +00:42:00,150 --> 00:42:05,650 +to the power n دججوا معايا كويس هذه المثلة مثيرة + +394 +00:42:05,650 --> 00:42:10,860 +شوية كيف مثيرة تعالوا نشوفيبقى احنا بدنا نبقى + +395 +00:42:10,860 --> 00:42:16,520 +place لـT to the power N حسب التعريف يبقى تكامل من + +396 +00:42:16,520 --> 00:42:22,480 +Zero إلى Infinity لـE أص ناقص ST لـT to the power + +397 +00:42:22,480 --> 00:42:26,960 +N DT تمام؟ + +398 +00:42:26,960 --> 00:42:30,920 +كيف بنكمل مثلا زي هذه exponential في T to the + +399 +00:42:30,920 --> 00:42:37,820 +power N؟بالجدول ممتاز ان بس احنا هنا بدنا اشين + +400 +00:42:37,820 --> 00:42:42,880 +جدول ليش ان هذا improper integral يبقى بدنا نروح + +401 +00:42:42,880 --> 00:42:49,560 +نقول هذا هو limit لتكامل + +402 +00:42:49,560 --> 00:42:55,140 +من zero إلى a لما a tends to infinity ل T to the + +403 +00:42:55,140 --> 00:43:03,570 +power n E أصناق ST في DTبدي اعملها integration by + +404 +00:43:03,570 --> 00:43:08,590 +parts عادي بدون جدول واشوف لوين بده توصلنا كفين + +405 +00:43:08,590 --> 00:43:13,190 +الخطوة واحدة وبعدين ممكن نستنتج الخطوة الثانية + +406 +00:43:13,190 --> 00:43:23,650 +يبقى بدي اخدي ال U هي T to the power N وDVE-STDT + +407 +00:43:23,650 --> 00:43:33,970 +الان بدنا DUيبقى N T أس N ناقص واحد في الـ DT بدنا + +408 +00:43:33,970 --> 00:43:41,690 +ال V يساوي E أس ناقص ST كما هي مقسومة على تفاضل + +409 +00:43:41,690 --> 00:43:49,350 +الأس لأن الأس من الدرجة الأولى يبقى هذه U وهذه V + +410 +00:43:49,350 --> 00:43:54,130 +اللي عندنا إذا النتيجة التكامل كتالي هذه ال limit + +411 +00:43:54,540 --> 00:44:01,680 +لما a tends to infinity بنا نيجي ل U في V يبقى T + +412 +00:44:01,680 --> 00:44:12,240 +to the power N E أس ناقص ST على ناقص S و الحكي هذا + +413 +00:44:12,240 --> 00:44:20,510 +من Zero لغاية ال Aناقص تكامل من zero إلى a لل V + +414 +00:44:20,510 --> 00:44:30,510 +دال U ال V هي E أس ناقص ST على ناقص S دال U ل N T + +415 +00:44:30,510 --> 00:44:37,630 +أس N ناقص واحد DT وهذا ال limit لمين؟ للمقدار هذا + +416 +00:44:37,630 --> 00:44:38,410 +كله + +417 +00:44:40,730 --> 00:44:47,570 +طيب يساوي limit لما ال a tends to infinity بتعوض + +418 +00:44:47,570 --> 00:44:51,750 +بالقيمة اللى فوق ناقص القيمة اللى تحت يعني يا شباب + +419 +00:44:51,750 --> 00:45:00,250 +هذه T والله هذه بتصير A أس N وهذه خليني أنزلها تحت + +420 +00:45:00,250 --> 00:45:09,050 +ناقص S في E أس S في A ناقص + +421 +00:45:13,380 --> 00:45:19,940 +أي مقدار يبقى بزيرو على أي رقم يبقى بزيرو خلصنا + +422 +00:45:19,940 --> 00:45:26,980 +منها الآن بقال عندي الناقص مع ناقص بصغير زائد عندك + +423 +00:45:26,980 --> 00:45:34,180 +N على S مقدار ثابت خليك برا بظل تكامل من Zero إلى + +424 +00:45:34,180 --> 00:45:34,740 +A + +425 +00:45:44,120 --> 00:45:47,900 +أخر حاجة توصلنا لها هي limit لما ال a tends to + +426 +00:45:47,900 --> 00:45:53,880 +infinityللـ A to the power N EOS ناقص S A بجبن + +427 +00:45:53,880 --> 00:45:59,880 +نزلها تحت بالشكل اللي أن هذا ناقص هنا Zero على + +428 +00:45:59,880 --> 00:46:04,640 +المقدار B Zero N على S بإشارة سالب مع سالب بصير + +429 +00:46:04,640 --> 00:46:05,960 +موجب و برة التكامل + +430 +00:46:23,560 --> 00:46:31,060 +بعد مرتين بيخلص ال busمظبوط؟ بيصير واحد صحيح، + +431 +00:46:31,060 --> 00:46:37,420 +كويس؟ و هذا بيظل A أس اتنين أس، جداش بتشتقى كل مرة + +432 +00:46:37,420 --> 00:46:40,880 +بتضرب اتنين و ال exponential زي ماني طب لما لاقيت + +433 +00:46:40,880 --> 00:46:46,220 +روح للمالة نهاية بيصير واحد ع مالة نهاية ب zero + +434 +00:46:46,220 --> 00:46:49,700 +هذا عند التربية و عند التكيب و عند الأربعة و + +435 +00:46:49,700 --> 00:46:54,020 +القمسة و الستة و ال N كله بيصير ال limit هذا ب + +436 +00:46:54,020 --> 00:47:02,750 +zeroهذا بيصير بزيرو مرة واحدة كان في انكوا سؤال في + +437 +00:47:02,750 --> 00:47:09,910 +calculus B في ال section اللي هو مين greater than + +438 +00:47:09,910 --> 00:47:13,410 +مين من الدوال اللي بنعمر مقارنة between relative + +439 +00:47:13,410 --> 00:47:17,970 +rates of growth وكان انكوا في سؤال بيقول زي هيك + +440 +00:47:17,970 --> 00:47:23,870 +high limit لما ال X بده تروح لل infinityللـ X to + +441 +00:47:23,870 --> 00:47:34,680 +the power N على E of Xالحين اضغط على الرقم + +442 +00:47:34,680 --> 00:47:38,180 +اللى بديكى ياه يبقى هذا لو جينا في خضرنه ايش بيصير + +443 +00:47:38,180 --> 00:47:43,520 +ان اكسوس ان ناقص واحد على U6 ان في ان ناقص واحد في + +444 +00:47:43,520 --> 00:47:47,620 +اكسوس ان ناقص اتنين على U6 يبقى في الآخر ايش بيطلع + +445 +00:47:47,620 --> 00:47:52,840 +عندي ان فاكتوريال لان ان في ان ناقص واحد لان ان + +446 +00:47:52,840 --> 00:47:59,540 +فاكتوريال على U6مظبوط يبقى هذه بعد عدة مرات بدي + +447 +00:47:59,540 --> 00:48:04,640 +يصير limit لما ال X tends to infinity لل N + +448 +00:48:04,640 --> 00:48:11,840 +factorial على E و ال 6 N factorial هي ده رقم و E و + +449 +00:48:11,840 --> 00:48:15,840 +ال 6 لما ال X بتروح للمالة نهاية بجديش المقام عدد + +450 +00:48:15,840 --> 00:48:21,080 +ع مالة نهاية Zero يبقى النتيجة هذه تساوي Zero + +451 +00:48:21,080 --> 00:48:27,570 +تمام؟يبقى بناء عليه هذه زيها بس بدل ال A أجانبين + +452 +00:48:27,570 --> 00:48:32,630 +اللي هو ال X يبقى هذه ب Zero مع السلامة يبقى صارة + +453 +00:48:32,630 --> 00:48:39,770 +النتيجة تساوي N على S في limit لما ال A tends to + +454 +00:48:39,770 --> 00:48:47,030 +infinity لمين؟ لتكامل من Zero إلى Aللتى to the + +455 +00:48:47,030 --> 00:48:56,890 +power n minus one لل E أس ناقص S T DT يعني إيش؟ + +456 +00:48:56,890 --> 00:49:04,530 +يعني اللى هو N على S ثمين فيتا كامل من Zero ل + +457 +00:49:04,530 --> 00:49:10,090 +Infinity لتى to the power n minus one E أس ناقص S + +458 +00:49:10,090 --> 00:49:19,140 +T DTوان المسألة هذه صارت نفس المسألة اللى بدأنا + +459 +00:49:19,140 --> 00:49:26,420 +فيها اللهم إلا الأس تبع ال T نقص جداش طيب تتوقعوا + +460 +00:49:26,420 --> 00:49:32,720 +لو روحت كاملت كمان مرة انسى اللى برا جداش تتوقعوا + +461 +00:49:32,720 --> 00:49:41,140 +الجواب يكون؟لما كانت N صارت N على S إذا ال term + +462 +00:49:41,140 --> 00:49:48,160 +اللي بعدش بتكون N ناقص واحد على S في تكامل ل T أس + +463 +00:49:48,160 --> 00:49:52,860 +N ناقص اتنين في ال exponential صحيح ولا لا؟ يعني + +464 +00:49:52,860 --> 00:49:59,330 +هذه الخطوة اللي بعدها اختصارا بتصير Nفإن نقص واحد + +465 +00:49:59,330 --> 00:50:07,410 +على S في S فمين في تكامل من Zero إلى Infinity ل T + +466 +00:50:07,410 --> 00:50:16,170 +أس N نقص اتنين E أس نقص S T D T تمام؟ + +467 +00:50:16,170 --> 00:50:22,930 +طب لو عملنا كمان خطوةبصير N فى النقص واحد فى النقص + +468 +00:50:22,930 --> 00:50:28,010 +اتنين على S فى S فى S فى تكامل من Zero ل Infinity + +469 +00:50:28,010 --> 00:50:33,230 +اللى T أس N نقص تلاتة + +470 +00:50:33,230 --> 00:50:40,130 +فى مين فى E أس نقص S T D T إذا لو ضلنا مستمرين على + +471 +00:50:40,130 --> 00:50:43,150 +هالشغل هذه هنوصل لما يأتي + +472 +00:51:01,490 --> 00:51:05,690 +إذا لو ضلنا مستمرين على الشغل هذه هنوصل لـ Laplace + +473 +00:51:05,690 --> 00:51:11,690 +transform ل T to the power N بده يسوى ال N في N + +474 +00:51:11,690 --> 00:51:18,730 +ناقص واحد في N ناقص اتنين لغاية تلاتة اتنين في + +475 +00:51:18,730 --> 00:51:35,870 +واحد على S في S في في Sفاس فاس فاس فاس فاس فاس + +476 +00:51:35,870 --> 00:51:41,200 +فاس فاس فاس فاس فاس فاسالشركة بنات هلا وصل ت و ال + +477 +00:51:41,200 --> 00:51:44,740 +سن ت و ال سن نقص واحد ت و ال سن نقص اتنين ت و ال + +478 +00:51:44,740 --> 00:51:50,020 +سن نقص تلاتة ت تربية ت و ال واحد ت و ال zero يبقى + +479 +00:51:50,020 --> 00:51:54,740 +وصي ل plus ل ت و ال zero يبقى هذا الكلام بده يساوي + +480 +00:51:54,740 --> 00:52:01,780 +اللي فوق اللي هو n factorialواللي تحت S أُس قداش N + +481 +00:52:01,780 --> 00:52:07,900 +في لبلاس ترانسفورم لمين؟ للواحد أظن جيبنا لبلاس + +482 +00:52:07,900 --> 00:52:12,320 +ترانسفورم للواحد قبل قليل و بواحد على S يبقى ده + +483 +00:52:12,320 --> 00:52:18,160 +صار N factorial على S to the power N في لبلاس + +484 +00:52:18,160 --> 00:52:23,620 +للواحد اللي هو واحد على S إذا النتيجة النهائية N + +485 +00:52:23,620 --> 00:52:33,260 +factorialعلى S to the power N plus one طب + +486 +00:52:33,260 --> 00:52:41,030 +إيش رايك؟أحنا قبل قليل استنتجنا لبلاس للواحد من ال + +487 +00:52:41,030 --> 00:52:47,510 +E أُس AT بقدر أجيب لبلاس للواحد من المسألة هذه + +488 +00:52:47,510 --> 00:52:52,530 +الهين وصلنا أن لبلاس التي to the power N هي N + +489 +00:52:52,530 --> 00:52:58,550 +factorial على S أُس N زائد واحد لو بدي لبلاس + +490 +00:52:58,550 --> 00:52:59,510 +للواحد + +491 +00:53:15,360 --> 00:53:22,640 +بناء عليه لو سألتكوا و قلتلكوا بدنا ال place + +492 +00:53:22,640 --> 00:53:25,960 +transform ل T تكيب + +493 +00:53:34,640 --> 00:53:45,100 +تلاتة زائد واحد واربعة مباشرة تلاتة + +494 +00:53:45,100 --> 00:53:49,380 +زائد واحد واربعة مباشرة تلاتة زائد واحد واربعة + +495 +00:53:49,380 --> 00:53:55,940 +مباشرة تلاتة زائد واحد واربعة مباشرة + +496 +00:54:17,550 --> 00:54:23,130 +الان بدنا نضيف الابارة النظرية اللى قلنا عليها قبل + +497 +00:54:23,130 --> 00:54:28,840 +قليلإن الابلاس الـ transform is a linear function + +498 +00:54:28,840 --> 00:54:35,800 +ده اللي خطية يبقى بدنا نكتب العلاقة هذه و نحاول + +499 +00:54:35,800 --> 00:54:42,160 +نبين شو معناها بالضبط و كيف سنستخدم هذا المعنى في + +500 +00:54:42,160 --> 00:54:53,420 +حل بعض المسائل يبقى remark if ال F one of T + +501 +00:54:56,120 --> 00:55:05,100 +F2 of T are functions that have Laplace transform + +502 +00:55:05,100 --> 00:55:13,480 +and if C1 and C2 are any constants Laplace + +503 +00:55:13,480 --> 00:55:24,020 +transform لC1فى ال F of T زائد زائد C2 F2 of T بده + +504 +00:55:24,020 --> 00:55:33,380 +ساوي و C1 ل plus transform لل F1 زائد C2 ل plus + +505 +00:55:33,380 --> 00:55:42,980 +transform لل F2 of T F1 of T الشكل اللى عندنا + +506 +00:55:51,690 --> 00:55:56,270 +مرة تانية بقول لو عندي دلتين واحدة F1 of T + +507 +00:55:56,270 --> 00:56:01,090 +والتانية F2 of T والتنتين هذول Laplace transform + +508 +00:56:01,090 --> 00:56:06,040 +اللي هم existتمام يبقى اتنين that have Laplace + +509 +00:56:06,040 --> 00:56:11,560 +transform ولو كان C1 وC2 ثوابت اي ثوابت ماعنديش + +510 +00:56:11,560 --> 00:56:17,320 +قيود عضات صحيحة موجبة سالبة كسرية ماعنا مشكلة يبقى + +511 +00:56:17,320 --> 00:56:20,920 +Laplace transform ل C1 في الدالة الأولى زائد C2 في + +512 +00:56:20,920 --> 00:56:25,320 +الدالة الثانية تساوي C1 Laplace للأولى زائد C2 + +513 +00:56:25,320 --> 00:56:28,760 +Laplace للدالة الثانية وهذا اللي بيسميها الخاصية + +514 +00:56:28,760 --> 00:56:33,570 +الخطية لLaplace transformيبقى هذه الـ Linear + +515 +00:56:33,570 --> 00:56:38,810 +Property لـ Laplace Transform لما أوضح لك كيف أجت + +516 +00:56:38,810 --> 00:56:46,670 +هذه سأقول لك الآن لو جيت لـ Laplace Transform ل C1 + +517 +00:56:46,670 --> 00:56:55,530 +F1 of T زي C2 F2 of T حسب تعريف Laplace Transformي + +518 +00:56:55,530 --> 00:57:04,120 +بتكامل من Zero إلى Infinityللـ E أُس ناقص ST في C1 + +519 +00:57:04,120 --> 00:57:12,440 +F1 of T زائد C2 F2 + +520 +00:57:12,440 --> 00:57:20,050 +of T كله بالنسبة الى DTبقدر اوزع هذا التكامل الى + +521 +00:57:20,050 --> 00:57:25,290 +تكاملين يبقى هذا الكلام يساوي تكامل من zero ل + +522 +00:57:25,290 --> 00:57:34,250 +infinity لل E أص ناقص ST في C1 F1 of T DT زائد + +523 +00:57:34,250 --> 00:57:42,110 +تكامل من zero ل infinity لل E أص ناقص ST في C2 F2 + +524 +00:57:42,110 --> 00:57:50,030 +of T DT ويساويأظن C1 مقدار ثابت بقدر أقوله الشرف + +525 +00:57:50,030 --> 00:57:55,630 +برا التكامل يبقى هذا الكلام بده يساوي C1 تكامل من + +526 +00:57:55,630 --> 00:58:05,230 +0 إلى infinity لل E أص ناقص ST لل F1 of T DTهذا + +527 +00:58:05,230 --> 00:58:09,770 +زيه ياسي اتنين شرف برا التكامل من zero إلى + +528 +00:58:09,770 --> 00:58:18,850 +infinity لل E أس ناقص ST E أس ناقص ST لل F2 of T + +529 +00:58:18,850 --> 00:58:27,280 +في DT سؤال هذا تعريف من يا بنات لبلة ال F1يبقى هذا + +530 +00:58:27,280 --> 00:58:35,560 +الكلام يساوي C1 Laplace لل F1 of T زائد C2 التاني + +531 +00:58:35,560 --> 00:58:42,440 +Laplace لل F2 of T أظن و هو المطلوب هذا إذا من + +532 +00:58:42,440 --> 00:58:45,900 +الآن فا صادر لو كان عندي Laplace لمجموع ده الإتين + +533 +00:58:45,900 --> 00:58:49,280 +بقدر أخد Laplace الأولى زائد Laplace التانية + +534 +00:58:49,280 --> 00:58:55,160 +بالزائد أوبالنقص لكن ضرب ما اتكلمناش فيه عند الضرب + +535 +00:58:55,160 --> 00:58:59,560 +كلامنا غلط اه انا بتكلم للجامع او الطرح فقط ده + +536 +00:58:59,560 --> 00:59:04,560 +غيره و اذا في مقدار ثابت باخده ايه ضرة هذا نعطي + +537 +00:59:04,560 --> 00:59:20,260 +مثال توضيحي على ذلك يبقى example امرا + +538 +00:59:20,260 --> 00:59:20,780 +واحد + +539 +00:59:23,310 --> 00:59:33,610 +Find Laplace transform لنص T تربيع زائد تمانية + +540 +00:59:33,610 --> 00:59:43,910 +زائد اتنين sin تلاتة T Laplace + +541 +00:59:43,910 --> 00:59:49,670 +transform لهذه الدالة تمام؟ بقدر اقوله والله كويس + +542 +00:59:49,990 --> 00:59:54,370 +اللي انا بدى اطبق الان قاعد اللى فوق نظرا اللى + +543 +00:59:54,370 --> 00:59:57,410 +انها linear يقبل ال plus للدالة الاولى زايد ال + +544 +00:59:57,410 --> 01:00:01,590 +plus للدالة التانية زايد ال plus للدالة التالتة + +545 +01:00:01,590 --> 01:00:06,390 +يبقى solution هذه + +546 +01:00:06,390 --> 01:00:11,690 +بقدر اكتبها على الشكل التالي مص ال plus transform + +547 +01:00:11,690 --> 01:00:20,470 +ال main ل T تربيعزائد Laplace transform لمين ل + +548 +01:00:20,470 --> 01:00:25,810 +تمانية اللى بقدر اكتبها تمانية في قداش في واحد مش + +549 +01:00:25,810 --> 01:00:30,490 +تمانية واحد من عشرة لأ تمانية مضروبة في واحد تمام + +550 +01:00:30,490 --> 01:00:38,130 +زائد اتنين Laplace transform ل sign تلاتة T جبتها + +551 +01:00:38,130 --> 01:00:41,990 +من وين من خاصية ال linearity اللى فوق اللى عندنا + +552 +01:00:41,990 --> 01:00:49,140 +هذا تطبيق مباشريبقى هذا الكلام بده يساوي النص ليه؟ + +553 +01:00:49,140 --> 01:00:55,740 +Laplace لتيتا ربيع اه هي تيتا كيب يبقى بقدر اقول + +554 +01:00:55,740 --> 01:01:06,060 +اللي هي اتنين factorial على مين على اس تكيب زائد + +555 +01:01:06,060 --> 01:01:14,940 +هذه تمانية في Laplace لمين للواحد الصحيحو هذه زائد + +556 +01:01:14,940 --> 01:01:22,800 +اتنين في ل plus ل sin تلاتة T قبل قليل sin A T كان + +557 +01:01:22,800 --> 01:01:30,380 +A على S تربية زائد A تربية يبقى هذه تلاتة على S + +558 +01:01:30,380 --> 01:01:34,940 +تربية زائد تلاتة تربية اللي يبقى داشر اللي هو + +559 +01:01:34,940 --> 01:01:40,620 +بتسعة طيب اظن نص مع اتنين factorial مع السلامة + +560 +01:01:40,620 --> 01:01:44,600 +اتنين factorial اتنين في واحديبقى ضالة النتيجة + +561 +01:01:44,600 --> 01:01:52,760 +تساوي واحد على اس تكيب زائد هذه واحد على اس يبقى + +562 +01:01:52,760 --> 01:02:01,420 +بصير تمانية على اس هذه زائد اتنين في تلاتة بستة + +563 +01:02:01,420 --> 01:02:07,360 +على اس ترابيع زائد تسعة بدك تخليها زي ما كان بها + +564 +01:02:07,360 --> 01:02:11,500 +بس لو كان هذا السؤال في الكتاب لصمح اللهو روحت + +565 +01:02:11,500 --> 01:02:15,460 +بتلاقيش الإجابة زي هيك بتلاقي الإجابة على الشكل + +566 +01:02:15,460 --> 01:02:22,500 +التالي بدنا نوحد المقامات كله يبقى S تكيب في S + +567 +01:02:22,500 --> 01:02:27,920 +تربية زائد تسعة طبعا S تكيب اشتمت على مين؟ على S + +568 +01:02:27,920 --> 01:02:34,400 +يبقى لو جسمت هذه على هذه بصير عندي S تربية زائد + +569 +01:02:34,400 --> 01:02:43,450 +تسعةالان زائد تمانية أس تربيع في مين في أس تربيع + +570 +01:02:43,450 --> 01:02:53,650 +زائد تسعة اللي بعدها زائد ستة أس تكيبة تمام؟ طيب + +571 +01:02:53,650 --> 01:03:00,290 +هذه عبارة عن إيش؟ عبارة عن عندك أظن تمانية أس أس + +572 +01:03:00,290 --> 01:03:07,920 +أربعة في الشغيرهايبقى هاي تمانية S أص أربعة أظنه + +573 +01:03:07,920 --> 01:03:15,060 +تكييب مافيش غيرها يبقى زائد ستة S تكييب نيجي + +574 +01:03:15,060 --> 01:03:21,460 +للتربيع تسعة في تمانية بتنين وسبعين S تربيع و عندك + +575 +01:03:21,460 --> 01:03:28,360 +S تربيع يبقى تلاتة وسبعين S تربيعيبقى زائد تلاتة و + +576 +01:03:28,360 --> 01:03:32,400 +سبعين استربيع مش طايل عندى الا ال constant اللى + +577 +01:03:32,400 --> 01:03:39,960 +همين تسعة يبقى زائد تسعة كله على استكعيب في + +578 +01:03:39,960 --> 01:03:47,480 +استربيع زائد تسعة طب خلينى أسأل السؤال التالى + +579 +01:03:47,480 --> 01:03:53,340 +افترض اعطانى هذه هيك تقدر ترجعيها لهذه + +580 +01:03:57,180 --> 01:04:03,200 +وكيف؟ نقدر؟ يعني + +581 +01:04:03,200 --> 01:04:06,960 +بنقول هذا على هذا و هذا على هذا و هذا على هذا و + +582 +01:04:06,960 --> 01:04:12,920 +هذا على هذا طيب هيك يعني اتعلمنا؟ يعني من الهيئة + +583 +01:04:15,950 --> 01:04:20,730 +القصور الجزئية نعمل لها partial fractions وبالتالي + +584 +01:04:20,730 --> 01:04:24,690 +بنقدر نرجع هذه إلى أصلها + +585 +01:04:33,520 --> 01:04:36,520 +ماشي تيجي يقولي و الله طلعت هيك هذه بتخلف عن هذه، + +586 +01:04:36,520 --> 01:04:39,960 +لأ و الله حللي غلط، لأ الحل صح، بس واحدة المقامات، + +587 +01:04:39,960 --> 01:04:58,260 +وشوفي كده بتطلع النتيجة اللي عندك طيب، + +588 +01:04:58,260 --> 01:05:09,390 +ناخد كمان مثال آخرثالث من هنا نمر + +589 +01:05:09,390 --> 01:05:19,070 +A نمر B + +590 +01:05:19,070 --> 01:05:24,250 +نمر B نمر B + +591 +01:05:24,250 --> 01:05:30,950 +نمر B نمر B نمر B نمر B نمر B نمر B نمر B نمر B + +592 +01:05:43,370 --> 01:05:49,590 +واللي بالك معناه كويسة الان بدنا لبلاس ترانسفورم + +593 +01:05:49,590 --> 01:05:58,090 +لجوش بي ت كيف نجيب هذا دي بناه؟ بدي اقول E وص ناقص + +594 +01:05:58,090 --> 01:06:06,370 +ST في جوش بي ت لكن في عندي رأي غير هيك شوف يبقى لو + +595 +01:06:06,370 --> 01:06:13,520 +جيت للتعريف وتكامل من Zero إلى Infinityللإي أس + +596 +01:06:13,520 --> 01:06:22,800 +ناقص ST لجوش BTDT كتعريف ما عنده مشكلة طيب هذا + +597 +01:06:22,800 --> 01:06:29,340 +الكلام تكامل من zero إلى infinity لminimum لإي أس + +598 +01:06:29,340 --> 01:06:34,800 +ناقص ST الجوش هذه مش مقدر اكتبها بدالة ال + +599 +01:06:34,800 --> 01:06:41,990 +exponential من آخر section في شبطار تمانيةاللي كان + +600 +01:06:41,990 --> 01:06:50,370 +E أُس BT زائد E أُس ناقص BT على 2DT + +601 +01:06:52,230 --> 01:06:57,930 +أظن النُص بقدر أقوله طلع برا تمام؟ يبقى إيش بصير؟ + +602 +01:06:57,930 --> 01:07:09,010 +بصير هذا النُص هو يتكمل من zero إلى A لل E أُس لو + +603 +01:07:09,010 --> 01:07:14,190 +جيت أخد هذه و هذه مع بعض و أخد هذه و هذه مع بعض + +604 +01:07:14,470 --> 01:07:19,490 +يبقى بقدر أقول هذه بدي أجمع لإتنين يبقى ناقص S + +605 +01:07:19,490 --> 01:07:27,530 +زائد B أو ناقص S ناقص B في T term الأول هي ناقص S + +606 +01:07:27,530 --> 01:07:32,570 +هي في T و ناقص فناقص بزائد BT اللي هو الجزء الأول + +607 +01:07:32,570 --> 01:07:40,150 +الجزء الثاني زائدبدي اخد هدى و هدى مع بعض بقدر اخد + +608 +01:07:40,150 --> 01:07:46,730 +ناقص T عامل مشترك بيبقى S زائد ال B يبقى زائد E + +609 +01:07:46,730 --> 01:07:58,710 +وهي ناقص برا و S زائد ال B كله في T في DT مظبوط؟ + +610 +01:07:58,710 --> 01:08:04,930 +limit ولا يهمك مديش limit from zero to infinity + +611 +01:08:04,930 --> 01:08:13,910 +ماشي؟بدول limit يسوى هذا الان limit للأولى زائد + +612 +01:08:13,910 --> 01:08:19,210 +limit للثانية او هنا لا plus للأولى زائد لا plus + +613 +01:08:19,210 --> 01:08:25,470 +للثانية يبقى هذا الكلام نص حسب ال linearity يبقى + +614 +01:08:25,470 --> 01:08:34,730 +نص اللي هو لا plus لمين لل E أس ناقص S ناقص ال B + +615 +01:08:34,730 --> 01:08:48,080 +في Tزائد نص لبلاس لإي أس ناقص S زائد B في T لابد + +616 +01:08:48,080 --> 01:08:53,040 +استخدم المثال الأول اللي جاهز عندنا يبقى هذا نص + +617 +01:08:53,040 --> 01:09:03,110 +فيهالـ plus لهذه اللي هو واحد على S زائد S ناقص ال + +618 +01:09:03,110 --> 01:09:12,210 +B يبقى S ناقص ال B، مصبوط؟ + +619 +01:09:12,210 --> 01:09:21,430 +هذه جوش، استنى جوش وحطنا لها S يبقى S لا استنى + +620 +01:09:21,430 --> 01:09:29,770 +شوية، السؤال هوبيقول جوش بي تي جوش بي تي و حطناها + +621 +01:09:29,770 --> 01:09:36,100 +بي تي ا ا احنا حطناها دغري ليش حطناها؟استنى شوية + +622 +01:09:36,100 --> 01:09:42,760 +استنى يا بناتي احنا هنا حطينا التعريف لكن هذه بقدر + +623 +01:09:42,760 --> 01:09:46,840 +اقول بالشكل التالي مباشرة نفس الفكرة اللى احنا + +624 +01:09:46,840 --> 01:09:52,320 +ماشينا فيها يعني انا مابديش اعمل التكامل هذا بدي + +625 +01:09:52,320 --> 01:10:00,140 +اسهل شوية يبقى هذه لا plus لا نص فى مين فى ال E أس + +626 +01:10:00,140 --> 01:10:07,960 +BT زاد E أس ناقص BTمصبوط؟ يبقى كأنه عندي دالتين + +627 +01:10:07,960 --> 01:10:18,700 +يبقى هذا نص ل plus لمن؟ لل EOS BT زائد نص ل plus + +628 +01:10:18,700 --> 01:10:25,020 +لل EOS ناقص BT طبعا؟ يبقى ما جولنا شاكر الجوالات + +629 +01:10:25,020 --> 01:10:28,560 +من أول ما دخلنا و بعدين أول ما دخلنا جولنا جاف + +630 +01:10:28,560 --> 01:10:36,630 +للجوالمنبه ولا جوال اسمه جوال يبقى نصف لبلاس لل E + +631 +01:10:36,630 --> 01:10:41,610 +أس BT زائد نصف لبلاس لل E أس نقص BT هذه حسبناها + +632 +01:10:41,610 --> 01:10:50,350 +قبل قليل النصف في واحد على S ناقص ال B و هذه كمان + +633 +01:10:50,350 --> 01:11:01,850 +نصف في واحد على S زائد ال Bهذا الكلام يساوي نص في + +634 +01:11:01,850 --> 01:11:11,230 +واحد على S نقص ال B واحد على S زائد ال B يبقى هذا + +635 +01:11:11,230 --> 01:11:18,010 +الكلام يساوي نص بدا واحد المقامات S نقص ال B في S + +636 +01:11:18,010 --> 01:11:25,610 +زائد ال B بشير عند S زائد ال B زائد ال S نقص ال B + +637 +01:11:28,210 --> 01:11:34,070 +نقص بي وزائد بي مع السلامة يبقى الصار عندي مص في + +638 +01:11:34,070 --> 01:11:41,450 +اتنين اس هذا تحليل مين فرق بين المربعين يبقى هذا + +639 +01:11:41,450 --> 01:11:48,590 +اس تربية ناقص بي تربية مص مع اتنين مع السلامة يبقى + +640 +01:11:48,590 --> 01:11:54,010 +اس على اس تربية ناقص مينب تربية قبل شوية قولتلكم + +641 +01:11:54,010 --> 01:12:01,030 +good exercise ل plus ل cosine ا ت قولتلكم S على S + +642 +01:12:01,030 --> 01:12:05,850 +تربية زائد ب تربية مش ناقص في حال تلاقوش ناقص في + +643 +01:12:05,850 --> 01:12:07,930 +حال تلاقوش cosine زائد + +644 +01:12:13,040 --> 01:12:19,340 +نمرابيج أخد حاصل ضرب الإتنين يبجى أنا بدى لابلاسي + +645 +01:12:19,340 --> 01:12:28,960 +ترانسفورم لل E أس AT في مين؟ في E أس BT زائد E أس + +646 +01:12:28,960 --> 01:12:36,020 +ناقص BT كله على جداش على الإتنينيبقى هذا الكلام + +647 +01:12:36,020 --> 01:12:44,280 +بده يساوي ل plus transform ل نص في ال E أس A زائد + +648 +01:12:44,280 --> 01:12:54,880 +ال B يبقى A زائد ال B في T زائد نص في E أس A ناقص + +649 +01:12:54,880 --> 01:13:04,140 +ال B كله في من؟ في Tهذا الكلام يساوي نص لبلاس + +650 +01:13:04,140 --> 01:13:11,640 +ترانس فورم لل E أس A زائد ال B في T من خاصية ال + +651 +01:13:11,640 --> 01:13:19,960 +linearity زائد نص لبلاس ترانس فورم لل E أس A ناقص + +652 +01:13:19,960 --> 01:13:30,830 +ال B في T هذا الكلام يساوي نص في طلعيني من هذهيبقى + +653 +01:13:30,830 --> 01:13:37,730 +هذه أول مثال أخدنا اليوم واحد على مين على S ناقص + +654 +01:13:37,730 --> 01:13:48,590 +ال A زائد ال B تمام اللي بعده زائد نص في واحد على + +655 +01:13:48,590 --> 01:14:00,710 +S زائد اللي هو ال A ناقص ال Bهذه موجبة وهذه بيبقى + +656 +01:14:00,710 --> 01:14:07,750 +هذه بالموجب يبقى تكون سالب يبقى سالب بالشكل اللي + +657 +01:14:07,750 --> 01:14:12,530 +عندنا هنا تمام؟ لإن الأس عندى هنا موجب وهنا موجب + +658 +01:14:12,530 --> 01:14:17,650 +ايه ناقص البيت؟ طيب هنعيد ترتيب اللي هو النتيجة + +659 +01:14:17,650 --> 01:14:19,170 +اللي وصلنا لها هذه + +660 +01:14:39,050 --> 01:14:48,830 +إذا صار عندى لبلاس transform لل E أس AT في جوش BT + +661 +01:14:48,830 --> 01:14:55,130 +بده يساوي، بده أخد أبناط المُص عامل مشترك من الكل، + +662 +01:14:55,130 --> 01:15:03,250 +مظل واحد علىشو رايك هذه بدي اكتبها S ناقص ال A و + +663 +01:15:03,250 --> 01:15:07,450 +هنا من و هنا و الله خليها زي ما هي و بعض الخطوات + +664 +01:15:07,450 --> 01:15:14,010 +التالية بنعملها يبقى S ناقص ال A زائد ال B هذا ال + +665 +01:15:14,010 --> 01:15:21,230 +term الأولبعدها زائد أخدنا النص برا يبقى واحد على + +666 +01:15:21,230 --> 01:15:28,730 +S ناقص ال A ناقص ال B بشكل عندنا هنا يبقى هذه + +667 +01:15:28,730 --> 01:15:35,790 +تساوي نص فين؟ بدا وحد المقامات اللي هدول كلهميبقى + +668 +01:15:35,790 --> 01:15:46,750 +بصير S ناقص ال A زائد ال B في S ناقص ال A ناقص ال + +669 +01:15:46,750 --> 01:15:55,510 +B هنا هذا بصير S ناقص ال A زائد ال B وهنا زائد ال + +670 +01:15:55,510 --> 01:16:04,120 +S ناقص ال A ناقص ال B وحط المقامات للكليبقى بصير S + +671 +01:16:04,120 --> 01:16:08,880 +وهذا فكته S ناقص ال A زائد ال B وهذا التاني فكته + +672 +01:16:08,880 --> 01:16:14,980 +بصير S ناقص ال A ناقص ال B أظن ناقص ال B وزائد ال + +673 +01:16:14,980 --> 01:16:20,640 +B مع السلامة هذا ال term هو هذا ال term يبقى هذا + +674 +01:16:20,640 --> 01:16:28,420 +النص وهنا بصير 2 في S ناقص ال A شو رايكوا هذي؟ بدأ + +675 +01:16:28,420 --> 01:16:34,750 +اكتب الجثة ده على الشكل التاليلو ال S ناقص ال A + +676 +01:16:34,750 --> 01:16:44,190 +ناقص ال B هذا جوس لحاله هذا كمان بدي اكتبه S ناقص + +677 +01:16:44,190 --> 01:16:49,790 +ال A وناقص ناقص بصير زائد ال B بالشكل اللي عندنا + +678 +01:16:49,790 --> 01:16:56,230 +طيب الاتنين هذه مع الاتنين هذه يبقى ايش بصير عندنا + +679 +01:16:56,230 --> 01:17:03,720 +بصير S ناقص ال Aطب اتطلعيلي علي هدول فرق بين + +680 +01:17:03,720 --> 01:17:11,560 +المربعين صح يبقى ده بيصير ال S ناقص ال A لكل تربيع + +681 +01:17:11,560 --> 01:17:18,280 +ناقص بيه تربيع اذا هذا هو ال plus transform لل E S + +682 +01:17:18,280 --> 01:17:25,900 +A T في جوش B T DT وعدناكوا بوعد قبل قليل ولم ننفذه + +683 +01:17:26,410 --> 01:17:29,190 +شو الوعد اللى وعدناكوا فيه؟ قولنا بنجيبلكوا ال + +684 +01:17:29,190 --> 01:17:35,290 +sign AT بطريقة أخرى طب نيجي للطريقة الأخرى اللى + +685 +01:17:35,290 --> 01:17:40,550 +وعدناكوا فيها و بيها ننهي المحاضرة اصلا مرت علينا + +686 +01:17:40,550 --> 01:17:45,170 +صيغة Euler مش Euler differential equation تبع في + +687 +01:17:45,170 --> 01:17:45,690 +الكملة + +688 +01:17:50,020 --> 01:17:59,720 +يبقى مرة علينا a cos theta cos theta زائد i sin + +689 +01:17:59,720 --> 01:18:00,660 +theta + +690 +01:18:05,110 --> 01:18:11,830 +الان بدنا نيجي نقيس عليها لو جينا قولنا لك قداش + +691 +01:18:11,830 --> 01:18:24,730 +اللي هو E اص I a T ايش بتقولي ليه؟ cosine a T زائد + +692 +01:18:24,730 --> 01:18:33,490 +I sine a T صح؟ يعني شيلنا θ و حطينا مكانها مين؟ + +693 +01:18:52,650 --> 01:19:01,420 +طب ايش رايك لو طرحنا الاتنين من بعضطرحناهم طرح إذا + +694 +01:19:01,420 --> 01:19:11,700 +بصير عندي E أس I A T ناقص E أس ناقص I A T يبقى + +695 +01:19:11,700 --> 01:19:17,180 +بصير هنا ناقص و هنا ذات بروحة هدول و بصير عندنا + +696 +01:19:17,180 --> 01:19:29,680 +اتنين I في Sin A T و كأنه SinAT بدها تساوي واحد + +697 +01:19:29,680 --> 01:19:39,900 +على اتنين I في مين؟ في E أس I AT ناقص E أس ناقص I + +698 +01:19:39,900 --> 01:19:47,330 +ATطبعا الكتاب حاطط هذا سؤال في التمرين و جايلك + +699 +01:19:47,330 --> 01:19:51,750 +sign AT يساوي هذا هاي جيبنالك من اين من وين جابها + +700 +01:19:51,750 --> 01:19:56,530 +جابها من Euler formula من صيغة Euler وهي جيبنا + +701 +01:19:56,530 --> 01:20:02,870 +sign AT يبقى احنا لو بدنا نحسب Laplace لهذه الدالة + +702 +01:20:02,870 --> 01:20:07,290 +كأنه بدنا نحسب Laplace لطرف اليمين + +703 +01:20:09,690 --> 01:20:15,130 +يعني هذا يا بنات كأنه حل ثاني لتاني سؤال أخدناه + +704 +01:20:15,130 --> 01:20:23,130 +اليوم مظبوط إذا بدي أحسب ل plus ل sign eighty + +705 +01:20:24,880 --> 01:20:31,220 +يبقى هو لـ plus لاخطار في اليمين يبقى هو ل plus ل + +706 +01:20:31,220 --> 01:20:42,600 +1 على 2 I تمين في E أس I A T ناقص E أس ناقص I A T + +707 +01:20:42,600 --> 01:20:47,420 +بالشكل اللي عندنا هذا اللي قلته هناك مقوله كويس + +708 +01:20:47,420 --> 01:20:52,780 +اذا هذا الكلام بدي يساوي اظن 1 على 2 I مقدار ثابت + +709 +01:20:53,540 --> 01:21:01,420 +يبقى شرف برا يبقى هذا واحد على اتنين I ل plus ل E + +710 +01:21:01,420 --> 01:21:10,160 +أس I A T ناقص واحد على اتنين I ل مين ليه ل plus + +711 +01:21:10,160 --> 01:21:18,240 +transform ل E أس ناقص A I T يبقى هذا الكلام بدي + +712 +01:21:18,240 --> 01:21:29,250 +اسمه واحد على اتنين Iيبقى هذه واحد على S ناقص AI + +713 +01:21:29,250 --> 01:21:38,090 +طبق الأول مثال أخدنا اليوم ناقص + +714 +01:21:38,090 --> 01:21:48,790 +واحد على اتنين I لمين لواحد على S زائد AIيعني يا + +715 +01:21:48,790 --> 01:21:54,030 +بنات هذي بيصير واحد على اتنين I عامل مشترك بيظل + +716 +01:21:54,030 --> 01:22:03,710 +ادنا واحد على S ناقص AI ناقص واحد على S زائد AI لو + +717 +01:22:03,710 --> 01:22:09,870 +وحدنا المقامات للكل يبقى واحد على اتنين I وهنا + +718 +01:22:09,870 --> 01:22:16,390 +بيصير S ناقص AI في S زائد AI + +719 +01:22:19,040 --> 01:22:31,220 +تمام بيصير عندك S زائد AI ناقص S زائد AI هذا + +720 +01:22:31,220 --> 01:22:38,580 +الكلام يساوي واحد على اتنين I فيه اظن ناقص S وزائد + +721 +01:22:38,580 --> 01:22:47,520 +S مع السلامة بيضلي اتنين AI على أليس هذا الفرق بين + +722 +01:22:47,520 --> 01:22:56,050 +المربعين؟يبقى مربع الكمية الأولى ناقص مربع الكمية + +723 +01:22:56,050 --> 01:23:02,210 +التانية يبقى A تربيع في I تربيع I تربيع يبقى سالب + +724 +01:23:02,210 --> 01:23:08,310 +واحد يبقى سالب A تربيع يبقى سالب A تربيع بالشكل + +725 +01:23:08,310 --> 01:23:14,120 +اللي عندنا هذايبقى اتنين اي مع اتنين ومع الاي + +726 +01:23:14,120 --> 01:23:22,000 +بيبقى القداش اي هذي S تربيع زائد A تربيع نفس + +727 +01:23:22,000 --> 01:23:26,620 +النتيجة اللي حصلنا عليها قبل قليل في المثال رقم + +728 +01:23:26,620 --> 01:23:31,640 +اتنين ولا لا يبقى هذا السؤال موجود عندك في الكتاب + +729 +01:23:31,640 --> 01:23:39,010 +ومش هجدكوا بس بدوا كمان ل place ل cosine ATلو + +730 +01:23:39,010 --> 01:23:44,230 +أخدنا لبلاي سا كوسين بيطلع هذه بالضبط بس بدل 2I + +731 +01:23:44,230 --> 01:23:49,350 +بيصير النص فقط ماعنديش I وهذه بدل النقص مش بيصير + +732 +01:23:49,350 --> 01:23:55,590 +بيصير زائد تمرين سؤال موجود في الكتاب أندي لحد هنا + +733 +01:23:55,590 --> 01:24:00,790 +stop بنكمل ان شاء الله المرة القادمة + diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/Bx_N_tiknzs.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/Bx_N_tiknzs.srt new file mode 100644 index 0000000000000000000000000000000000000000..ee80762ef8b5bd3543d4dde34dab8152b87bd39e --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/Bx_N_tiknzs.srt @@ -0,0 +1,3467 @@ +1 +00:00:10,800 --> 00:00:15,160 +بسم الله الرحمن الرحيم نبدأ اليوم في section 55 + +2 +00:00:15,160 --> 00:00:21,700 +بتكلم فقط عن Euler equation معادلة Euler طبعًا + +3 +00:00:21,700 --> 00:00:25,540 +معادلة Euler لها أكثر من صيغة هناخد الصيغة الأولى + +4 +00:00:25,540 --> 00:00:29,840 +وبعدين هناخد الصيغة الثانية the Euler differential + +5 +00:00:29,840 --> 00:00:33,460 +equation معادلة التفاضلية تبعت العالم Euler is an + +6 +00:00:33,460 --> 00:00:37,160 +equation in the form طبعًا لو مسكت أي كتاب غير + +7 +00:00:37,160 --> 00:00:41,740 +كتابنا يسميها Cauchy-Euler equation يعني اسم مركب + +8 +00:00:41,740 --> 00:00:44,880 +احنا Cauchy-Euler هو ال Euler يبقى هي Euler وهي + +9 +00:00:44,880 --> 00:00:49,700 +المعادلة قدامنا بغض النظر عن التسمية يبقى معادلة + +10 +00:00:49,700 --> 00:00:54,080 +Euler على صيغة X تربيع Y double prime زائد Alpha XY + +11 +00:00:54,080 --> 00:01:00,100 +prime زائد Beta Y تساوي Zero يعني معادلة من الرتبة + +12 +00:01:00,100 --> 00:01:06,760 +الثانية المعامل تبع Y double prime معادلة من الدرجة + +13 +00:01:06,760 --> 00:01:10,420 +الثانية ومافيش فيها إلا X تربيع مش X تربيع زائد + +14 +00:01:10,420 --> 00:01:15,260 +شغلة بس X تربيع هنا Alpha X ال Alpha مقدار ثابت + +15 +00:01:22,350 --> 00:01:28,150 +يبقى الصيغة اللي قدامك صيغة Euler equation in + +16 +00:01:28,150 --> 00:01:34,170 +general ال alpha وال beta constant ال X يساوي 0 + +17 +00:01:34,170 --> 00:01:39,030 +طبعًا هي هادي singular point وفي نفس الوقت بتكون + +18 +00:01:39,030 --> 00:01:43,310 +regular singular point لأن ال singular ممكن تبقى + +19 +00:01:43,310 --> 00:01:47,650 +regular وممكن تكون irregular يبقى إن هذه دائمًا هو + +20 +00:01:47,650 --> 00:01:52,550 +بال regular singular point الحالة تبع هذه المعادلة + +21 +00:01:52,550 --> 00:01:59,150 +على interval لا تحتوي عالميًا على ال singular point + +22 +00:01:59,150 --> 00:02:02,590 +إن عند ال singular point x يساوي zero يبقى احنا + +23 +00:02:02,590 --> 00:02:06,110 +على فترة لا تشتمل not including + +24 +00:02:10,180 --> 00:02:14,720 +يبقى في هذه الحالة شكل الحل بيكون على الصيغة y + +25 +00:02:14,720 --> 00:02:18,880 +ساوي c واحد y واحد زائد c اثنين y اثنين حيث y واحد + +26 +00:02:18,880 --> 00:02:22,540 +و y اثنين are two linearly independent solutions + +27 +00:02:22,540 --> 00:02:27,610 +لمن؟ لل equation one عادي linearly independent + +28 +00:02:27,610 --> 00:02:33,110 +solution لل equation 1 و C1 و C2 عبارة عن ثوابت + +29 +00:02:33,110 --> 00:02:37,950 +طبعًا يا بنات لما بتلاحظوا لما أقول X يساوي Zero هي + +30 +00:02:37,950 --> 00:02:41,490 +singular point يبقى رياضياتنا انقسمت لكام فترة + +31 +00:02:41,490 --> 00:02:45,950 +انقسمت لفترتين من Zero إلى Infinity ومن سالب + +32 +00:02:45,950 --> 00:02:50,440 +Infinity إلى Zero بعد قليل ممكن تبقى ال singular + +33 +00:02:50,440 --> 00:02:54,080 +point مش zero يمكن تبقى واحد يمكن اثنين يمكن ثلاثة + +34 +00:02:54,080 --> 00:02:58,120 +يبقى هذا الرقم برضه بيجسم ال interval اللي هو إلى + +35 +00:02:58,120 --> 00:03:02,380 +فترتين يبقى احنا بدنا ندرس الحل على فترة واحدة + +36 +00:03:02,380 --> 00:03:07,930 +وبعد هيك بنشوف على الفترة الثانية فبأجي أقول to + +37 +00:03:07,930 --> 00:03:11,910 +solve equation one we have two intervals هي الفترة + +38 +00:03:11,910 --> 00:03:15,010 +اللي عندنا من سالب infinity إلى zero ومن zero إلى + +39 +00:03:15,010 --> 00:03:19,810 +infinity هنا x بتبقى أقل من zero وهنا x معناها + +40 +00:03:19,810 --> 00:03:23,900 +greater than zero إذا أنا بدأت أخد الحل على الفترة + +41 +00:03:23,900 --> 00:03:28,740 +اللي عندنا هذه يبقى بدي أخد الحالة الأولى if ال X + +42 +00:03:28,740 --> 00:03:32,820 +greater than 0 لو كانت ال X أكبر من 0 يعني بدي + +43 +00:03:32,820 --> 00:03:37,520 +أدرس على نصف الفترة تبع ال real line شو بدي أعمل + +44 +00:03:37,520 --> 00:03:43,160 +بدي أفرض الحل على صيغة ما زي ما كنا قبل هيك + +45 +00:03:43,160 --> 00:03:46,220 +المعادلة دي من الرتبة الثانية بنقول لأ بس بشرط + +46 +00:03:46,220 --> 00:03:50,640 +يكون هذا الثابت بقين أقول let Y تساوي E أس RT is + +47 +00:03:50,640 --> 00:03:54,160 +a solution هنا بنفس الفكرة بس ما بدناش نفرضها + +48 +00:03:54,160 --> 00:03:58,520 +exponential بدنا نفرضها polynomial يبقى بأجي + +49 +00:03:58,520 --> 00:04:07,700 +أقول له let Y تساوي X أس R be a solution + +50 +00:04:14,910 --> 00:04:20,830 +بعد ذلك نشتق + +51 +00:04:20,830 --> 00:04:25,130 +هذه مرتين ونعوضه في المعادلة اللي فوق ونشوف اللي + +52 +00:04:25,130 --> 00:04:29,050 +وين بدنا نوصل في هذه الحالة إذا ما بدأنا إلى ال Y' + +53 +00:04:29,750 --> 00:04:36,250 +يبقى هذه تساوي R في X أس R ناقص واحد الأُس هذا + +54 +00:04:36,250 --> 00:04:41,050 +يا بنات اللي هو R ممكن يكون integer سالب أو موجب + +55 +00:04:41,050 --> 00:04:46,150 +و ممكن يكون zero وممكن يكون كسري سالب أو موجب + +56 +00:04:46,150 --> 00:04:51,970 +كذلك يعني any real number تمام الآن بدنا نجيب Y double prime + +57 +00:04:51,970 --> 00:04:59,110 + يبقى r في مين في r ناقص واحد في x أس r + +58 +00:04:59,110 --> 00:05:04,750 +ناقص اثنين بناخد المعلومات هذه ونروح نعوض وين في + +59 +00:05:04,750 --> 00:05:12,930 +المعادلة واحد يبقى بالداجي أقوله هنا substitute of + +60 +00:05:12,930 --> 00:05:22,250 +an equation when we get بنحصل على ما يأتي هاي ال X + +61 +00:05:22,250 --> 00:05:27,190 +تربيع في مين؟ في ال Y double prime اللي هي R + +62 +00:05:32,410 --> 00:05:39,030 +اللي بعدها زائد alpha x في ال y prime ال y prime + +63 +00:05:39,030 --> 00:05:47,090 +اللي هي r في x أس r minus ال one زائد beta y, y + +64 +00:05:47,090 --> 00:05:53,820 +اللي هي x أس r, x أس r كله بده يساوي zero بدا داخل + +65 +00:05:53,820 --> 00:05:59,640 +ال X تربيع داخل القوس يبقى بيصير R في R ناقص واحد + +66 +00:05:59,640 --> 00:06:08,420 +في X أس R زائد Alpha R X أس R زائد Beta X أس R + +67 +00:06:08,420 --> 00:06:14,240 +يساوي كده؟ يساوي Zero إيش رأيك؟ بدي أجسم كله على X + +68 +00:06:14,240 --> 00:06:19,600 +أس R، بنفع؟ ليش؟ لأن أكبر من Zero لا يمكن أن تساوي + +69 +00:06:19,600 --> 00:06:23,520 +Zero وبالتالي بقدر أقسم عليها يبقى هذه المعادلة + +70 +00:06:23,520 --> 00:06:29,180 +بيصير على الشكل التالي R في R ناقص واحد زائد Alpha + +71 +00:06:29,180 --> 00:06:37,040 +R زائد Beta يساوي Zero المعادلة هذه بيصير R تربيع + +72 +00:06:37,040 --> 00:06:46,310 +ناقص R زائد Alpha R زائد Beta يساوي Zero وهي ال R + +73 +00:06:46,310 --> 00:06:52,190 +تربيع هذه فيها R وفيها R بتأخذ R عامل مشترك بضل + +74 +00:06:52,190 --> 00:07:00,210 +زائد Alpha ناقص واحد في R زائد Beta يساوي من يساوي + +75 +00:07:00,210 --> 00:07:07,230 +Zero هل هذه معادلة تفاضلية؟ هذه معادلة تفاضلية؟ لأ + +76 +00:07:07,230 --> 00:07:11,190 +هذه معادلة من الدرجة الثانية عادية يبقى هذه بدي + +77 +00:07:11,190 --> 00:07:15,910 +أسميها زي ما كنا بنفرض قبل هي Y تساوي E أس RT + +78 +00:07:15,910 --> 00:07:20,230 +عبارة عن solution إذا هذه بدي أسميها إيه؟ ال + +79 +00:07:20,230 --> 00:07:26,010 +characteristic equation يبقى دي بنوزعها هيك وبقول + +80 +00:07:26,010 --> 00:07:28,730 +هذه ال characteristic equation ال differential + +81 +00:07:28,730 --> 00:07:34,880 +equation man يبقى هذه بدي أسميها ال characteristic + +82 +00:07:34,880 --> 00:07:46,160 +equation of the differential equation one إذا هذه + +83 +00:07:46,160 --> 00:07:50,820 +لها جذور صحيح ولا لأ؟ لها معادلة من الدرجة + +84 +00:07:50,820 --> 00:07:58,190 +الثانية لها جذرين الجذران قد يكونان حقيقيين ومختلفين + +85 +00:07:58,190 --> 00:08:05,490 +أو حقيقيين ومتساويين أو two complex conjugate تخيليين + +86 +00:08:05,490 --> 00:08:10,710 +ومترافقين بدنا ندرس الحالات الثلاث اللي هذول اللي + +87 +00:08:10,710 --> 00:08:15,330 +عندنا يبقى هذه بدنا نسميها بنات سميها لل equation + +88 +00:08:15,330 --> 00:08:26,320 +رقم اثنين يبقى هنا بأجي بقول يبقى + +89 +00:08:26,320 --> 00:08:36,520 +the roots of the differential the roots of the + +90 +00:08:36,520 --> 00:08:43,640 +equation اثنين R يكونوا على الشكل التالي نمرحل + +91 +00:08:44,960 --> 00:08:59,680 +R1 and R2 are real and different يعني حقيقيين + +92 +00:08:59,680 --> 00:09:09,600 +ومختلفان يبقى بأجي بقوله يعني هذه that is أي أن R1 + +93 +00:09:09,600 --> 00:09:12,200 +لا تساوي R2 + +94 +00:09:33,020 --> 00:09:38,320 +يبقى أنا أقول معاه حالتين للمعادلة اللي قلناها دي + +95 +00:09:38,320 --> 00:09:43,660 +لو طلعوا الاثنين are linearly independent يبقى هدول + +96 +00:09:43,660 --> 00:09:47,120 +بيكونوا لماين fundamental set of solutions + +97 +00:09:47,120 --> 00:09:51,860 +وبالتالي شكل الحل بيصير على الشكل اللي قدامنا هذا + +98 +00:09:51,860 --> 00:09:58,850 +c1 y1 زائد c2 y2 ويكون خلصنا من المثلة هذه إذا بدي + +99 +00:09:58,850 --> 00:10:02,070 +أبحث الـ Wronskian تبع من الاثنين إذا طلع الـ + +100 +00:10:02,070 --> 00:10:05,710 +Wronskian ليه يساوي Zero بيطلعوا يصير الاثنين دول + +101 +00:10:05,710 --> 00:10:09,470 +Linearly Dependent بس Independent بيصيروا الاثنين + +102 +00:10:09,470 --> 00:10:14,770 +دول بيكونوا لمين؟ لل general solution إذا بدي أبحث + +103 +00:10:14,770 --> 00:10:22,570 +الـ Wronskian تبع X أس R1 و X أس R2 وهي المحدد + +104 +00:10:22,570 --> 00:10:29,880 +وهذا X أس R1 وهذا ال X أس R2 بضعوها نشتق مشان + +105 +00:10:29,880 --> 00:10:36,120 +أجيب الصف الثاني من المحدد يبقى R1 X أس R1 ناقص + +106 +00:10:36,120 --> 00:10:45,460 +واحد R2 X أس R2 ناقص واحد وهي المحدد بدأ نفك المحدد + +107 +00:10:45,460 --> 00:10:50,500 +هذا يبقى حاصل ضرب عناصر القطر الرئيسي ناقص حاصل ضرب + +108 +00:10:50,500 --> 00:11:01,420 +عناصر القطر الثانوي يبقى R2 Fix أس R1 زائد R2 ناقص + +109 +00:11:01,420 --> 00:11:06,900 +واحد عند الضرب تجمع الأسس خلصنا الرئيسي بدأ نيجي + +110 +00:11:06,900 --> 00:11:18,350 +للثانوي ناقص R1 في من؟ في X أس R1 زائد R2 ناقص 1 + +111 +00:11:18,350 --> 00:11:23,630 +إيش بتلاحظوا بنات؟ في عام المشترك ما بيقل اثنين + +112 +00:11:23,630 --> 00:11:32,580 +يبقى هذا الكلام R2 ناقص R1 في ال X أس R1 زائد R2 + +113 +00:11:32,580 --> 00:11:39,920 +ناقص واحد السؤال هو هل يمكن لهذه القيمة أن تساوي + +114 +00:11:39,920 --> 00:11:46,900 +صفرا في يوم من الأيام؟ لأ لأن R1 ما بتساويش R2 اثنين ال + +115 +00:11:46,900 --> 00:11:51,040 +X دائمًا وأبدًا greater than zero إذا لا يمكن لهذا + +116 +00:11:51,040 --> 00:11:56,250 +المقدار أن يساوي zero يبقى هذا الكلام لا يمكن أن + +117 +00:11:56,250 --> 00:12:04,390 +يساوي zero since اللي هو R1 لا يساوي R2 وال X من + +118 +00:12:04,390 --> 00:12:09,450 +البداية هي جايين greater than zero يبقى هذا الكلام + +119 +00:12:09,450 --> 00:12:14,070 +لا يمكن أن يساوي zero يبقى اثنين هدول linearly + +120 +00:12:14,070 --> 00:12:24,770 +independent يبقى هنا ال X أس R1 و X أس R2 + +121 +00:12:24,770 --> 00:12:31,810 +linearly independent solutions of + +122 +00:12:31,810 --> 00:12:38,350 +the equation one معناته بقدر أجيب ال general + +123 +00:12:38,350 --> 00:12:41,370 +solution يبقى بأجي بقوله + +124 +00:12:49,410 --> 00:12:59,730 +equation one is y تساوي c واحد x أس r واحد c اثنين + +125 +00:12:59,730 --> 00:13:08,190 +x أس r اثنين بالشكل اللي عندنا هنا x أس r اثنين + +126 +00:13:08,190 --> 00:13:12,310 +إذا المعادلة اللي عندي في ال characteristic + +127 +00:13:12,310 --> 00:13:19,600 +equation لو حلتها وطلع الجذران حقيقيين ومختلفين بكون + +128 +00:13:19,600 --> 00:13:26,480 +شكل الحل في صيغته العامة Y يساوي C1 X أس R1 زائد + +129 +00:13:26,480 --> 00:13:32,480 +C2 X أس R2 وبالتالي بيكون خلصنا من مين؟ خلصنا من + +130 +00:13:32,480 --> 00:13:37,520 +الحالة الأولى، بدروح لوين؟ للحالة الثانية + +131 +00:13:52,000 --> 00:14:01,660 +يبقى الحالة الثانية if R1 يساوي R2 يساوي R مثلًا say + +132 +00:14:01,660 --> 00:14:09,780 +يعني ال two roots are real and equal يعني that is + +133 +00:14:09,780 --> 00:14:13,060 +the + +134 +00:14:13,060 --> 00:14:20,480 +two roots of equation اثنين + +135 +00:14:22,860 --> 00:14:31,520 +are real and repeated حد + +136 +00:14:31,520 --> 00:14:34,740 +ماذا يذكر فيك عندما يقول الـ two roots are real + +137 +00:14:34,740 --> 00:14:39,560 +and repeated زمان لمعادلة رتبة ثانية لما كنا نقول X + +138 +00:14:39,560 --> 00:14:47,260 +يساوي E أس RT شو شكل الحل الذاكرين؟ C1 زائد C2 في T + +139 +00:14:47,260 --> 00:14:52,400 +كله في ال exponential مظبوط هنا نفس الفكرة بس مش T + +140 +00:14:52,400 --> 00:14:59,060 +بأجي مكانها اللي أنتِ يعني C1 زائد C2 لين T يعني بال + +141 +00:14:59,060 --> 00:15:02,620 +reduction of order لما يعطيني حل بقدر أجيب شكل + +142 +00:15:02,620 --> 00:15:06,360 +الحل ثاني المرة اللي فاتت جبناها فكان شكله T المرة + +143 +00:15:06,360 --> 00:15:12,340 +هذه لو روحنا نحسب يكون شكله لين T يبقى real and + +144 +00:15:12,340 --> 00:15:15,500 +repeated then + +145 +00:15:16,940 --> 00:15:27,160 +we have one solution حل واحد اللي هو مين؟ اللي هو + +146 +00:15:27,160 --> 00:15:33,060 +Y يساوي اللي هو مين؟ X أس + +147 +00:15:39,700 --> 00:15:47,640 +الثانية الحلول هي + +148 +00:15:47,640 --> 00:15:55,620 +Y + +149 +00:15:55,620 --> 00:16:05,300 +تساوي X أس R في Ln X الآن بدنا نشوف هل اثنين هدول + +150 +00:16:05,300 --> 00:16:09,760 +are linearly independent ولا لا يبقى بدي اخذ + +151 +00:16:09,760 --> 00:16:17,820 +الـ Wronskian تبع ال X أس R و X أس R في Ln ال X يبقى + +152 +00:16:17,820 --> 00:16:25,180 +هذا بدي يعطيني المحدد X أس R X أس R في Ln X هذه + +153 +00:16:25,180 --> 00:16:32,120 +مشتقتها R X أس R ناقص واحد هذه مشتقة حاصل ضرب ده + +154 +00:16:32,120 --> 00:16:40,060 +اللي ثاني يبقى R X أس R ناقص واحد في Ln X زائد + +155 +00:16:40,060 --> 00:16:49,540 +قداش؟ مشتقة Ln X واحد على X مع ال X أس R بصير X أس + +156 +00:16:49,540 --> 00:16:55,740 +R ناقص واحد يم على طول يبقى هذه اكتبها عندك على + +157 +00:16:55,740 --> 00:17:01,300 +شجرتك مشتقة هذه X أس R في واحد على X يبقى تختصر + +158 +00:17:01,300 --> 00:17:06,320 +بصير X أس R ناقص واحد يبقى هاي المحدد الآن بدنا + +159 +00:17:06,320 --> 00:17:11,520 +نحسب قيمة هذا المحدد يبقى هذا الكلام بده يساوي هذه + +160 +00:17:11,520 --> 00:17:20,760 +A وهذا X أس 2R ناقص واحد في Ln ال X زائد X أس + +161 +00:17:20,760 --> 00:17:25,640 +2R ناقص واحد يبقى هذا حاصل ضرب عناصر قطر + +162 +00:17:25,640 --> 00:17:31,080 +رئيسي الناقص حاصل ضرب عناصر قطر الثانوي يبقى ناقص + +163 +00:17:31,080 --> 00:17:40,940 +R و X أس 2R ناقص واحد في Ln ال X طلعيني للterm + +164 +00:17:40,940 --> 00:17:44,800 +الأول والterm الأخير الاثنين are the same الاثنين + +165 +00:17:44,800 --> 00:17:45,940 +نفسي يبقى هذا + +166 +00:17:45,940 --> 00:17:56,260 +ههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههه + +167 +00:17:58,950 --> 00:18:04,030 +يبقى هذه اللي لا يمكن أن تساوي zero يبقى الاثنين + +168 +00:18:04,030 --> 00:18:08,070 +هذول ما لهم linearly independent بيكونون ال + +169 +00:18:08,070 --> 00:18:13,670 +fundamental set of solutions يبقى سواء ال X أس R are + +170 +00:18:13,670 --> 00:18:20,490 +and ال X أس R في Ln ال X are linearly independent + +171 +00:18:20,490 --> 00:18:29,670 +solutions of equation 1 يبقى بناء عليه the general + +172 +00:18:29,670 --> 00:18:35,030 +solution + +173 +00:18:35,030 --> 00:18:50,920 +is Y تساوي C1 زائد C2 في Ln ال X كله في X أس R شكل + +174 +00:18:50,920 --> 00:18:57,780 +لنا هنا يبقى هذا شكل الحل لو كان real and repeated + +175 +00:18:57,780 --> 00:19:04,900 +نيجي لوين؟ للحالة الثالثة لو كان روس R complex + +176 +00:19:04,900 --> 00:19:18,500 +conjugate يبقى If the roots of equation two are + +177 + +201 +00:22:08,050 --> 00:22:15,390 +الثلاث لل equation هي مين؟ لإتنين وبالتالي عرفنا + +202 +00:22:15,390 --> 00:22:20,810 +شكل الحل في كل حالة من الحالات الثلاث لو طلع ال + +203 +00:22:20,810 --> 00:22:24,270 +roots real and different الحالة الثانية لو طلع + +204 +00:22:24,270 --> 00:22:28,950 +real and repeated الحالة الثالثة لو طلع complex + +205 +00:22:46,050 --> 00:22:50,390 +الحلول الثلاث تبقى كما هي بس بدل ال X بنقول + +206 +00:22:50,390 --> 00:22:57,070 +absolute value ل X لأن X ليس معرف إلا للقيمة + +207 +00:22:57,070 --> 00:23:02,210 +الموجبة يبقى + +208 +00:23:02,210 --> 00:23:06,270 +on the + +209 +00:23:06,270 --> 00:23:16,230 +interval على الفترة X less than zero يبقى + +210 +00:23:27,800 --> 00:23:36,300 +الحل الأول Y تساوي C1 absolute value ل X أُس R1 + +211 +00:23:36,300 --> 00:23:45,630 +زائد C2 absolute value ل X أُس R2 الحل الثاني Y + +212 +00:23:45,630 --> 00:23:54,430 +يساوي C1 زي C2 لن absolute value ل X في absolute + +213 +00:23:54,430 --> 00:24:03,430 +value ل X أُس الحل الثالث والأخير Y تساوي absolute + +214 +00:24:03,430 --> 00:24:13,310 +value ل X أُس لن ده فيه C1 cos Mu ln absolute value + +215 +00:24:13,310 --> 00:24:23,030 +ل X زائد C2 sin Mu اللي هو ln absolute value ل X + +216 +00:24:23,030 --> 00:24:28,570 +بالشكل اللي عندنا يبقى هذا شكل الحل في الأمور + +217 +00:24:28,570 --> 00:24:36,470 +الثلاث طب افترض انه طلعت عندنا ال singular point + +218 +00:24:36,470 --> 00:24:42,450 +هي X يساوي Zero وما جليش ل X أكبر من Zero و ل X + +219 +00:24:42,450 --> 00:24:47,310 +أقل من Zero يعني بدى أحل الحل هنا و أعود أحله على + +220 +00:24:47,310 --> 00:24:52,120 +الشجرة تانية لا لا ولا حاجة بتقول من البداية if x + +221 +00:24:52,120 --> 00:24:56,560 +greater than zero و بشتغل شغل لغاية مخلص في الآخر + +222 +00:24:56,560 --> 00:25:01,120 +بقوله the general solution is و بكتبه بس بدل ال x + +223 +00:25:01,120 --> 00:25:05,800 +بحطه ب absolute value x و بقول كف الله المؤمنين القتال لكن + +224 +00:25:05,800 --> 00:25:09,560 +ان حددني من البداية ان X أكبر من Zero بيكون ريحني + +225 +00:25:09,560 --> 00:25:14,540 +ما حددلي بفرضها انا أكبر من Zero لغاية ماجي بشكل + +226 +00:25:14,540 --> 00:25:18,420 +الحل العام بس بشيل كل X و بحط مكانها Absolute value ل + +227 +00:25:18,420 --> 00:25:25,140 +X بيكون حالينا الإشكالية بالكامل طيب ال Euler + +228 +00:25:25,140 --> 00:25:31,390 +equation هذه يا بنات في لها حالة خاصة الحالة الخاصة + +229 +00:25:31,390 --> 00:25:36,260 +ليست بالضرورة تكون X تربيع و Y double prime ممكن + +230 +00:25:36,260 --> 00:25:40,920 +تبقى x ناقص واحد و y double prime ممكن تبقى x زائد + +231 +00:25:40,920 --> 00:25:46,760 +ثلاث تربيع في y double prime و هكذا يعني ليس + +232 +00:25:46,760 --> 00:25:50,820 +بالضرورة ان تبقى x لأ ممكن ال x معمول لها shift + +233 +00:25:50,820 --> 00:25:55,480 +مقدار واحد اتنين تلاتة نص نقل يقدر ما يكون يبقى + +234 +00:25:55,480 --> 00:25:59,600 +هذه بتسميها special case من الحالة الأولى يبقى + +235 +00:25:59,600 --> 00:26:09,570 +بداجة اقوله special case حالة خاصة إذا كانت الـ + +236 +00:26:09,570 --> 00:26:16,130 +Euler Equation + +237 +00:26:16,130 --> 00:26:26,350 +في الـ Form في الشكل التالي اللي هو x ناقص x node + +238 +00:26:26,350 --> 00:26:32,310 +لكل تربيع في ال y double prime زائد alpha في x + +239 +00:26:32,310 --> 00:26:39,270 +ناقص x node في ال y prime زائد beta y تساوي zero + +240 +00:26:39,270 --> 00:26:46,150 +then we look + +241 +00:26:46,150 --> 00:26:56,250 +for نبحث عن حلوة A على + +242 +00:26:56,250 --> 00:27:01,870 +حل في شكل + +243 +00:27:01,870 --> 00:27:12,370 +Y يساوي X ناقص X نوت كله to the power R لذلك نحصل + +244 +00:27:12,370 --> 00:27:15,790 +نحصل نفس + +245 +00:27:38,460 --> 00:27:42,940 +بعد ما نستبدل + +246 +00:28:19,210 --> 00:28:23,750 +مرة تانية بقول يبقى لو كانت ال X أخدناها على + +247 +00:28:23,750 --> 00:28:28,530 +الفترة السالبة بشتغل كأنه أنا بشتغل على الموجبة و + +248 +00:28:28,530 --> 00:28:32,230 +في الآخر بس بشيل X و بحط مكانها absolute value ل X + +249 +00:28:32,230 --> 00:28:37,110 +بعد هيك الحلول بتاخد اللي هو أي شكل من الأشكال + +250 +00:28:37,110 --> 00:28:41,430 +الثلاثة اللي عندنا بعد ذلك لا يمكن أن تكون المعادلة + +251 +00:28:41,430 --> 00:28:45,650 +x تربيع y double prime يمكن أن تكون x ناقص ثلاثة + +252 +00:28:45,650 --> 00:28:49,410 +لكل تربيع y double prime و الثانية مثلها يبقى على + +253 +00:28:49,410 --> 00:28:53,570 +الشكل المين على الشكل اللي عندنا هنا يبقى هاي + +254 +00:28:53,570 --> 00:28:56,650 +معادلة تربيع y double prime معادلة من الدرجة + +255 +00:28:56,650 --> 00:28:59,250 +الأولى y double prime في constant و constant في y + +256 +00:28:59,250 --> 00:29:04,570 +يبقى الشكل الحلبي ده نفسه ضلية y تساوي مش x plus r + +257 +00:29:05,080 --> 00:29:09,960 +بقول X ناقص ال X node اللي عندها ده كله to the + +258 +00:29:09,960 --> 00:29:14,560 +power R يبقى بفترض الحل على الشكل أن هذا بشتغط مرة + +259 +00:29:14,560 --> 00:29:18,760 +و مرتين و بروح بعوض في المعادلة لغاية بنحصل على + +260 +00:29:18,760 --> 00:29:22,940 +main على ال characteristic equation بروح بحل ال + +261 +00:29:22,940 --> 00:29:25,920 +characteristic equation و بجي بشوف هل ال real and + +262 +00:29:25,920 --> 00:29:29,240 +different هل ال real and repeated هل ال complex أي + +263 +00:29:29,240 --> 00:29:34,770 +واحدة بتطلع فيهم بقوله تمام إذا بشيل كل X موجودة + +264 +00:29:34,770 --> 00:29:39,910 +عند هنا و هحط بدل X ناقص ال X node و يبقى كل شيء + +265 +00:29:39,910 --> 00:29:44,670 +كما هو واضح كلامنا طبعا هعطيكم مثال عملي الآن بعد + +266 +00:29:44,670 --> 00:29:52,390 +قليل على هذا الكلام حدا فيكم اي تساول هنا طالش + +267 +00:29:52,390 --> 00:29:59,570 +اللي شوية أمثلة يعني طيب نبدأ المثال الأول عندنا + +268 +00:29:59,570 --> 00:30:04,270 +مجموعة اللي بقى اسمها من الأمثلة تقول examples + +269 +00:30:04,270 --> 00:30:08,570 +determine + +270 +00:30:08,570 --> 00:30:20,530 +the general solution of + +271 +00:30:20,530 --> 00:30:23,810 +the + +272 +00:30:23,810 --> 00:30:27,870 +given differential equation of the + +273 +00:30:43,470 --> 00:30:55,130 +الحل هذا بيكون صحيح in any interval على أي فترة + +274 +00:31:13,070 --> 00:31:20,490 +أول سؤال هو السؤال الأطمعش من التمرين يقول ال x + +275 +00:31:20,490 --> 00:31:30,170 +تربيع y double prime ناقص 4x في y prime زائد 4y + +276 +00:31:30,170 --> 00:31:35,810 +كلها بدأت تساوي 0 وهذه هي المعادلة رقم 1 + +277 +00:32:24,750 --> 00:32:30,210 +يبقى فترة عندنا فترتين يا اما من ال zero إلى ما لا نهاية يا + +278 +00:32:30,210 --> 00:32:31,070 +اما جاب ال main + +279 +00:32:38,250 --> 00:32:44,530 +أفرض X أكبر من 0 أفرض X أكبر من 0 أفرض X أكبر من 0 + +280 +00:32:44,530 --> 00:32:50,070 +أفرض X أكبر من 0 أفرض X أكبر من 0 أفرض X أكبر من 0 + +281 +00:32:50,070 --> 00:32:54,150 +أفرض X أكبر من 0 أفرض X أكبر من 0 أفرض X أكبر من 0 + +282 +00:32:54,150 --> 00:33:00,490 +أفرض X أكبر من 0 أفرض X أكبر من 0 أفرض X أكبر من 0 + +283 +00:33:00,490 --> 00:33:00,510 +أفرض X أكبر من + +284 +00:33:10,890 --> 00:33:18,330 +يبقى then y prime r x أس r ناقص واحد y double prime + +285 +00:33:18,330 --> 00:33:24,540 +يسوى r في r ناقص واحد في x أس r ناقص اتنين بناخد + +286 +00:33:24,540 --> 00:33:30,140 +المعلومات هذه ونعوضها في المعادلة رقم واحد يبقى + +287 +00:33:30,140 --> 00:33:40,580 +substitute in equation one we get نحصل على ما يأتي + +288 +00:33:40,580 --> 00:33:50,040 +هاي ال X تربيع اللي برا YW'RR-1XSR + +289 +00:33:50,040 --> 00:33:55,880 +-2-4XY + +290 +00:33:55,880 --> 00:33:59,860 +'RXSR + +291 +00:33:59,860 --> 00:34:06,040 +-1 4XSR0 + +292 +00:34:08,980 --> 00:34:14,240 +مضروب اللي برا في الجوس جوا الجوس يبقى R في R ناقص + +293 +00:34:14,240 --> 00:34:19,920 +واحد في X أُس R ناقص اتنين بيصير مع الاتنين اللي + +294 +00:34:19,920 --> 00:34:29,120 +برا بيصير X أُس R ناقص أربعة R X أُس R زائد أربعة + +295 +00:34:29,120 --> 00:34:36,190 +X أُس R تساوي Zero نقسم كله على X أُس R يبقى لو + +296 +00:34:36,190 --> 00:34:43,390 +قسمنا R في R ناقص واحد ناقص اربعة R زائد اربعة + +297 +00:34:43,390 --> 00:34:51,510 +تساوي Zero قبل ما اكمل لو جينا بنات قولنا افترض + +298 +00:34:51,510 --> 00:34:55,170 +الحل على الصيغة اللي عندنا وجيبنا المشتقة الأولى + +299 +00:34:55,170 --> 00:35:00,660 +وجيبنا المشتقة الثانية وقلنا له substitute then the + +300 +00:35:00,660 --> 00:35:04,400 +characteristic equation is الشكل اللي عندنا هنا + +301 +00:35:04,400 --> 00:35:09,980 +فيه مشكلة؟ لأ ابني طالع هذا بتطير ال X تربيع والله + +302 +00:35:09,980 --> 00:35:14,080 +ده بتطير بصير R في R ناقص واحد بديجي مكانها هذه + +303 +00:35:14,080 --> 00:35:18,960 +بصير ناقص أربعة R هذه أربعة زي ما هي تساوي Zero + +304 +00:35:19,380 --> 00:35:23,720 +ببقى لإننا نرتب وضع مين المعادلة هذه لكن هذه اللي + +305 +00:35:23,720 --> 00:35:27,740 +بصير هي ال characteristic equation تمام؟ زي ما كنا + +306 +00:35:27,740 --> 00:35:30,800 +هناك نفرض كذا إذا ال characteristic equation كذا، + +307 +00:35:30,800 --> 00:35:37,060 +مصبوط؟ يبقى هنا بصير R في R ناقص واحد زائد Alpha R + +308 +00:35:37,060 --> 00:35:42,490 +زائد Beta كله بده يساوي مين؟ بده يساوي Zero هذه ال + +309 +00:35:42,490 --> 00:35:47,570 +L لو جينا رتبناها، ايش بصير عندنا؟ R تربيع بصير + +310 +00:35:47,570 --> 00:35:57,030 +عندنا هنا ناقص R و ناقص 4R ناقص 5R يبقى هاي ناقص 5R + +311 +00:35:57,030 --> 00:36:04,270 +زائد كده؟ زائد 4 كله يساوي 0 أظن بنقدر نحلل هذه + +312 +00:36:04,270 --> 00:36:11,930 +كقوسين كتالي يساوي zero هذي R هذي R هذي واحد هذي + +313 +00:36:11,930 --> 00:36:18,570 +اربعة هذي ناقص هذي ناقص يبقى معنى هذا الكلام ان R + +314 +00:36:18,570 --> 00:36:24,770 +واحد تساوي واحد و R اتنين يساوي قداش؟ اربعة يبقى + +315 +00:36:24,770 --> 00:36:31,090 +two real and different roots مظبوط اليمين الحالة + +316 +00:36:31,090 --> 00:36:35,890 +الأولى يبقى بناء عليه بصير ال general solution + +317 +00:36:35,890 --> 00:36:47,190 +يبقى the general solution is y تساوي c واحد في x + +318 +00:36:47,190 --> 00:36:52,870 +بس ايش بدي احطها؟ absolute value of x بتنفع للي + +319 +00:36:52,870 --> 00:36:59,780 +اكبر من zero ولي اقل من zero أس قداش؟ أس واحد زائد + +320 +00:36:59,780 --> 00:37:06,680 +C2 absolute value of X أُس كده؟ أُس أربعة يبقى هذا + +321 +00:37:06,680 --> 00:37:12,760 +هو ال general solution للمعادلة التفاضلية التكتيكي + +322 +00:37:12,760 --> 00:37:18,400 +اللي تبقى بدك تتبعيه مع كل معادلة بعد ذلك بنفس + +323 +00:37:18,400 --> 00:37:21,140 +الطريقة السؤال الثاني + +324 +00:37:23,850 --> 00:37:30,350 +الواو سؤال ستة من الكتاب بقول X ناقص واحد لكل ترابيع + +325 +00:37:30,350 --> 00:37:37,990 +في ال Y double prime زائد تمانية في ال X ناقص واحد + +326 +00:37:37,990 --> 00:37:46,510 +prime زائد اتناشر Y يساوي Zero هذه هي المعادلة رقم + +327 +00:37:46,510 --> 00:37:51,110 +واحد و بدنا نحلها خليني + +328 +00:37:51,110 --> 00:37:55,860 +أسهل السؤال التالي الحين هذه ابنات لو قلت زي هيك + +329 +00:37:55,860 --> 00:38:00,460 +هدف Zero مش موجود وضلت المعادلة بالشكل هذا هذه + +330 +00:38:00,460 --> 00:38:07,220 +معادلة Euler ولا مياشي Euler Euler + +331 +00:38:07,220 --> 00:38:12,180 +ولا لا؟ Euler ليش نجلة Alpha و Beta constants ولم + +332 +00:38:12,180 --> 00:38:17,120 +يحددهم هل بأسفار و لا غير الأسفار يعني لو كان عندي + +333 +00:38:17,120 --> 00:38:21,540 +ترمين بس المعامل هذا بدي يكون هذا بالضبط هذا تربيع + +334 +00:38:21,540 --> 00:38:26,760 +و هذا من وين؟ من الدرجة الأولى طب لو قلت هذا هيك + +335 +00:38:26,760 --> 00:38:32,380 +هذه Euler لأ مش Euler لازم يكون هذه تربيع حتى تبقى + +336 +00:38:32,380 --> 00:38:37,340 +Euler طيب ده أسأل كمان مرة لو الترمين الأثنين هدول + +337 +00:38:37,340 --> 00:38:42,960 +طاروا و بس ضلت هذه العالة Euler على طول الخط طبعا + +338 +00:38:42,960 --> 00:38:46,800 +يعني ليس بالضرورة أن كل مقادير الثلاث موجودة لأن + +339 +00:38:46,800 --> 00:38:50,900 +ال alpha أقل ال constants ولم يحدد أصفرهم يعني + +340 +00:38:50,900 --> 00:38:55,120 +لو كانوا أصفر ماشي مش أصفر ماشي، كويس؟ يبقى أنا + +341 +00:38:55,120 --> 00:38:58,600 +عندي question بالشكل .. أه هذه اللي قلنا عليها قبل + +342 +00:38:58,600 --> 00:39:04,120 +قليل special case، طبعا السؤال هو وين ال singular + +343 +00:39:04,120 --> 00:39:10,890 +point؟ يعني انقسمت الـ real line إلى فترتين، من أين + +344 +00:39:10,890 --> 00:39:17,810 +إلى أين؟ من سالب infinity لغاية ومن الواحد مش عند + +345 +00:39:17,810 --> 00:39:25,390 +ال zero تمام؟ يبقى باجي بقوله solution يبقى + +346 +00:39:25,390 --> 00:39:32,470 +باجي بقوله ال X يساوي واحد is a singular point + +347 +00:39:34,560 --> 00:39:38,480 +ما دام singular point يبقى أنا بدي اخد x اكبر من + +348 +00:39:38,480 --> 00:39:43,860 +ال zero والله اكبر من ال واحد اكبر من ال واحد مش + +349 +00:39:43,860 --> 00:39:49,960 +من ال zero يبقى باجي بقوله هنا بدي اخد لو كانت ال + +350 +00:39:49,960 --> 00:39:57,580 +x اكبر من ال واحد افترض ان y يسوى x وصر + +351 +00:40:01,810 --> 00:40:12,230 +يبقى أنا بدك تقولي X ناقص واحد كله أس R تمام زي + +352 +00:40:12,230 --> 00:40:17,090 +مين؟ زي هذا بالضبط تمام طب لو كانت زائد بده اقوله + +353 +00:40:17,090 --> 00:40:22,590 +هنا X زائد واحد أس R على طول الخط يبقى Y تساوي X ر + +354 +00:40:22,590 --> 00:40:29,310 +با solution of the + +355 +00:40:31,380 --> 00:40:38,280 +differential equation one then اعمل الخطوات هذه و + +356 +00:40:38,280 --> 00:40:40,960 +الله اقول ال characteristic equation دوري زي ما هي + +357 +00:40:40,960 --> 00:40:48,180 +هنا هيطلع عندك x ناقص واحد أس R هنا x ناقص واحد أس + +358 +00:40:48,180 --> 00:40:52,580 +R هنا x ناقص واحد أس R يبقى بقسم عليها وبالتالي + +359 +00:40:52,580 --> 00:40:57,200 +ايه بصير معنا مشكلة في هذه الحالة يبقى بقدر اجيب + +360 +00:40:57,200 --> 00:41:00,710 +له من ال characteristic equation دوري يبقى باجي + +361 +00:41:00,710 --> 00:41:11,290 +بقوله then the characteristic equation is R في R + +362 +00:41:11,290 --> 00:41:16,730 +ناقص واحد نرجع للمعادلة الثانية خلصنا من هنا يبقى + +363 +00:41:16,730 --> 00:41:24,030 +زائد تمانية R وهنا زائد اتناشر يساوي كده؟ يساوي + +364 +00:41:24,030 --> 00:41:30,690 +Zero يبقى بيصير R في R في R تربيع ناقص R وزائد + +365 +00:41:30,690 --> 00:41:37,610 +تمانية R بظهر قدر؟ سبعة R يبقى زائد سبعة R زائد + +366 +00:41:37,610 --> 00:41:44,030 +اتناشر يساوي Zero هذه لو روحت حللتها بيصير X زائد + +367 +00:41:44,030 --> 00:41:49,250 +ثلاتة في X زائد اربعة يساوي Zero تلاتة في اربعة + +368 +00:41:49,250 --> 00:41:53,990 +عليهم اتناشر وتلاتة X واربعة X اللي هي مين؟ سبعة X + +369 +00:41:54,190 --> 00:42:00,710 +يبقى بناء عليه ال X بدأت تساوي سالب تلاتة وهي أقصد + +370 +00:42:00,710 --> 00:42:08,430 +ال R يا بنات مش X R زائد تلاتة و R زائد أربعة يبقى + +371 +00:42:08,430 --> 00:42:14,970 +R تساوي سالب تلاتة و R تساوي من اللي هو سالب أربعة + +372 +00:42:14,970 --> 00:42:19,590 +يبقى ال general solution سيكون على الشكل التالي + +373 +00:42:19,590 --> 00:42:21,110 +يبقى ذا + +374 +00:42:35,720 --> 00:42:45,420 +على فرض الحل X ناقص واحد اس R يبقى c1 في ال x ناقص + +375 +00:42:45,4 + +401 +00:45:28,170 --> 00:45:36,530 +الفترة من سالب infinity لغاية Zero و X + +402 +00:45:36,530 --> 00:45:42,910 +أقل من Zero كويس + +403 +00:45:42,910 --> 00:45:50,240 +يبقى بنفع افترض أن الحل Y تساوي X أس R هتقولي + +404 +00:45:50,240 --> 00:46:14,440 +absolute value لمن لل X أُس R يبقى + +405 +00:46:14,440 --> 00:46:22,740 +باجي بقوله هنا طبعا x يساوي زيرو هي ال singular + +406 +00:46:22,740 --> 00:46:30,860 +point يبقى باجي بقوله let y تساوي x أس R be a + +407 +00:46:30,860 --> 00:46:40,080 +solution of the differential equation ولكن بدي أفهم + +408 +00:46:40,080 --> 00:46:44,760 +أن X هذه سالبة، صحيح؟ يعني في الجهة وين؟ في + +409 +00:46:44,760 --> 00:46:47,880 +الجهة اليسار، إذا بدي أمشيها زي ما هي وفي الآخر + +410 +00:46:47,880 --> 00:46:51,260 +بدي أحط مين؟ أبسطي بدي أمشي بخاطر، بدي أحطها + +411 +00:46:51,260 --> 00:46:59,210 +إجباري غصب عني، تمام؟ طيب تعالى نشوف يبقى then the + +412 +00:46:59,210 --> 00:47:08,430 +characteristic equation is R في R ناقص واحد ايش + +413 +00:47:08,430 --> 00:47:17,830 +عندي هنا ناقص تلاتة R زائد أربعة تساوي زيرو الآن + +414 +00:47:17,830 --> 00:47:24,250 +صار عندنا R تربيع ناقص R و ناقص تلاتة R ناقص أربعة + +415 +00:47:24,250 --> 00:47:32,010 +R زائد أربعة تساوي كم؟ Zero هذا معناه ايه؟ أن ال R + +416 +00:47:32,010 --> 00:47:38,380 +ناقص اتنين الكل تربيع يساوي مين؟ زيرو يبقى really + +417 +00:47:38,380 --> 00:47:45,020 +repeated roots يبقى هذا معناه أن R واحد تساوي R + +418 +00:47:45,020 --> 00:47:54,340 +اتنين تساوي كده يبقى صار ده general solution + +419 +00:47:54,340 --> 00:48:05,780 +of equation one is Y يساوي C واحد زائد C اتنين ln + +420 +00:48:06,860 --> 00:48:13,780 +absolute value ل X في قلت X تربيع والله absolute value + +421 +00:48:13,780 --> 00:48:18,550 +ل X تربيع ليه اتنين أربع سيم لأن كمية المربع مصبور + +422 +00:48:18,550 --> 00:48:22,690 +يبقى صار الحل على الشكل اللي أن أنا يبقى أنا عندي + +423 +00:48:22,690 --> 00:48:28,930 +حلين الحل الأولاني هو X تربيع والحل الثاني هو X + +424 +00:48:28,930 --> 00:48:36,030 +تربيع في ال absolute value ل X تمام طيب قال لي في + +425 +00:48:36,030 --> 00:48:41,860 +عندك two initial conditions يبقى بدي أحاول أستخدم + +426 +00:48:41,860 --> 00:48:49,280 +ال two initial conditions للحلول للحصول على C1 وC2 + +427 +00:48:49,280 --> 00:48:58,980 +يبقى أي Y C1 X تربيع C2 X تربيع ln absolute value + +428 +00:48:58,980 --> 00:49:04,720 +ل X خلّيني أجيب المشتقة مشان أروح أنعوض يبقى + +429 +00:49:04,720 --> 00:49:12,040 +بالنسبة لل Y' يساوي 2C1X + +430 +00:49:12,040 --> 00:49:18,440 +زائد 2C2X + +431 +00:49:18,440 --> 00:49:26,950 +لل absolute value X هذا مشتقة الأول في الثاني + +432 +00:49:26,950 --> 00:49:34,230 +اتنين X تربيع في مشتقة لن absolute value ل X أنا + +433 +00:49:34,230 --> 00:49:41,370 +أزعم أنها واحد على X فقط لغير بدون absolute طبعا + +434 +00:49:41,370 --> 00:49:44,690 +هوريكم إياها طبعا أخذناها في الكلاس بيه بس بدها + +435 +00:49:44,690 --> 00:49:48,490 +تذكر بها تذكر بس خليني أرتبها وبعدين بتبين لكم + +436 +00:49:48,490 --> 00:49:49,970 +ياها يبقى اتنين + +437 +00:50:00,770 --> 00:50:06,910 +تعالوا في الهامش نبين لكم كيف مشتقة لن absolute + +438 +00:50:06,910 --> 00:50:14,670 +value ل X احنا بنات عندنا D على DX ل ln X سالب و + +439 +00:50:14,670 --> 00:50:47,790 +الله موجب الآن X يجب أن نختار X أقل من Zero سالب + +440 +00:50:47,890 --> 00:50:53,210 +يبقى هاي المشتقة زي قلت لكم الزعم و أثبت أنه فعلا + +441 +00:50:53,210 --> 00:50:56,810 +مشتقة تبعنا على ال X يبقى صارت بالشكل اللي عندنا + +442 +00:50:56,810 --> 00:51:02,770 +هذا بالنسبة لل initial condition الأول جالي Y عند + +443 +00:51:02,770 --> 00:51:07,970 +سالب واحد يساوي اتنين إذا أنا هشيل ال Y و أحط مكان + +444 +00:51:07,970 --> 00:51:16,940 +مكانها اتنين و أشيل كل X و أحط مكانها سالب واحد يبقى C1 + +445 +00:51:16,940 --> 00:51:24,620 +في سالب واحد الكل تربيع نيجي هنا ln لسالب واحد + +446 +00:51:24,620 --> 00:51:29,560 +يعني ln الواحد ln الواحد في Zero مع السلامة يبقى + +447 +00:51:29,560 --> 00:51:35,820 +زائد Zero هذا بدي يعطيك أن C1 يساوي كده؟ يساوي اتنين + +448 +00:51:36,360 --> 00:51:39,880 +بنجي ال condition الثاني يقل ال y prime عند السالب + +449 +00:51:39,880 --> 00:51:45,160 +واحد يساوي تلاتة ال y prime عند السالب واحد يساوي + +450 +00:51:45,160 --> 00:51:50,240 +تلاتة يساوي تلاتة نيجي نشوف هذا شو بده يعطينا + +451 +00:51:50,240 --> 00:51:54,880 +طلعيني ليه كويس هنا بدي آجي ال y prime هي y + +452 +00:51:54,880 --> 00:52:02,400 +prime يبقى هاي ثلاثة بده يساوي اتنين C واحد في مين + +453 +00:52:02,400 --> 00:52:10,880 +في سالب واحد تمام نيجي هنا هذا Zero يبقى زائد Zero + +454 +00:52:10,880 --> 00:52:18,980 +خلصنا منه ظل عنا زائد C اتنين في سالب واحد يبقى + +455 +00:52:18,980 --> 00:52:26,260 +النتيجة تلاتة تساوي سالب اتنين C واحد و سالب C + +456 +00:52:26,260 --> 00:52:32,480 +اتنين C واحد بقدراش باتنين يبقى هذا بدي أعطيكم + +457 +00:52:32,480 --> 00:52:42,490 +أن تلاتة تساوي سالب أربعة تساوي + +458 +00:52:42,490 --> 00:52:54,950 +سالب + +459 +00:52:54,950 --> 00:53:02,090 +أربعة تساوي زائد أربعة و تلاتة سبعة يبقى C2 تساوي + +460 +00:53:02,090 --> 00:53:10,670 +سالب سبعة يبقى هذه سالب سبعة تمام هذا شكل C2 يبقى + +461 +00:53:10,670 --> 00:53:15,050 +بناء عليه ال solution هيكون عالمين على الشكل + +462 +00:53:15,050 --> 00:53:19,130 +التالي يبقى بقى دي بقول له ده solution + +463 +00:53:21,500 --> 00:53:31,780 +Y تساوي C1 ب 2 يبقى 2X تربيع C2 بسالب سبعة يبقى + +464 +00:53:31,780 --> 00:53:38,960 +سالب سبعة X تربيع ln absolute value ل X هذه يا + +465 +00:53:38,960 --> 00:53:42,680 +بنات التربيع حاطط ال absolute والله خليته بتفرجش + +466 +00:53:42,680 --> 00:53:47,390 +عنها لأن كمية المربعة فهي دائما و أبدا موجبة سواء + +467 +00:53:47,390 --> 00:54:07,450 +كانت ال X موجبة أو سالبة طيب + +468 +00:54:07,450 --> 00:54:14,090 +كان هذا هو المثال رقم 3 له سؤال 15 من الكتاب مثال + +469 +00:54:14,090 --> 00:54:21,290 +رقم أربعة له سؤال عشرة من الكتاب بيقول ال X ناقص + +470 +00:54:21,290 --> 00:54:28,710 +اتنين الكل تربيع في ال Y W prime زائد خمسة في ال X + +471 +00:54:28,710 --> 00:54:35,390 +ناقص اتنين في ال Y prime زائد تمانية Y يساوي Zero + +472 +00:54:35,390 --> 00:54:42,810 +هذه هي المعادلة رقم واحد قد إيش ال singular point؟ + +473 +00:54:43,280 --> 00:54:49,300 +يبقى X يساوي اتنين يبقى solution يبقى + +474 +00:54:49,300 --> 00:55:01,560 +X يساوي اتنين is a singular point تمام؟ إذا الحل + +475 +00:55:01,560 --> 00:55:05,840 +اللي عندي بده يفضل على الشكل التالي يبقى باجي بقول + +476 +00:55:05,840 --> 00:55:15,480 +له let من Y تساوي X ناقص اتنين to the power R بيه + +477 +00:55:15,480 --> 00:55:26,000 +solution of equation one then the characteristic + +478 +00:55:26,000 --> 00:55:31,200 +equation is R + +479 +00:55:32,270 --> 00:55:39,950 +في R ناقص واحد زائد خمسة R زائد تمانية يساوي كم؟ + +480 +00:55:39,950 --> 00:55:46,430 +يساوي Zero هذه يا بنات بصير R تربيع وعندك ناقص R + +481 +00:55:46,430 --> 00:55:53,370 +زائد خمسة R مضبوط زائد كم؟ أربع R زائد تمانية + +482 +00:55:53,370 --> 00:56:00,810 +يساوي Zero هل بنقدر نحلها هذه بالاقواس؟ مش إمكانية + +483 +00:56:01,730 --> 00:56:06,470 +مش ممكنة على الإطلاق إذا مدى حلها بمين؟ بالقانون + +484 +00:56:06,470 --> 00:56:14,090 +العام يبقى R يساوي ناقص ب زائد أو ناقص الجذر + +485 +00:56:14,090 --> 00:56:20,390 +التربيعي ل ب تربيع ناقص أربع أ ج اللي هي بواحد + +486 +00:56:20,390 --> 00:56:27,410 +ج اللي هي بتمانية كله على اتنين في واحد هذا + +487 +00:56:27,410 --> 00:56:32,750 +الكلام يساوي ناقص أربعة زائد أو ناقص أربعة في + +488 +00:56:32,750 --> 00:56:38,210 +تمانية باتنين و تلاتين شيل منهم ستاشر بستاشر + +489 +00:56:38,210 --> 00:56:45,070 +سالبة تحت الجذر تطلع ب زائد أو ناقص أربعة i كله + +490 +00:56:45,070 --> 00:56:51,590 +على اتنين يبقى ناقص اتنين زائد أو ناقص اتنين i + +491 +00:56:51,590 --> 00:56:55,090 +يبقى بناء عليه قد إيش ال Lambda يا بنات + +492 +00:57:00,600 --> 00:57:06,420 +يبقى الشكل الحل بيكون على الشكل التالي the + +493 +00:57:06,420 --> 00:57:14,060 +solution of question one is + +494 +00:57:36,370 --> 00:57:41,640 +طب لو شيلت ال absolute value فيه مشكلة هنا؟ لأ لأن + +495 +00:57:41,640 --> 00:57:45,320 +هذا باعتبارها واحد على ال X ناقص اتنين الكل تربيع كمية + +496 +00:57:45,320 --> 00:57:49,160 +هي موجبة كتبتها والله شيلتها هنا ما بتفرقش عندها + +497 +00:57:49,160 --> 00:57:55,900 +خليها مش مشكلة طيب يبقى هذا X أس Lambda في C واحد + +498 +00:57:55,900 --> 00:58:04,560 +في cosine لـ Mu Mu بقدراش؟ باتنين يبقى اتنين ln + +499 +00:58:04,560 --> 00:58:14,360 +absolute value ل X زائد C اتنين sin اتنين ln + +500 +00:58:14,360 --> 00:58:21,120 +absolute value ل X كيف؟ + +501 +00:58:21,120 --> 00:58:27,560 +آه X ناقص اتنين مظبوط أصاب امرأة وأختها عمري يبقى + +502 +00:58:27,560 --> 00:58:38,760 +هذه absolute value ل X ناقص اتنين زائد C2 sin 2 ل + +503 +00:58:38,760 --> 00:58:44,260 +absolute value ل X ناقص اتنين بالشكل اللي عندنا + +504 +00:58:44,260 --> 00:58:50,430 +هنا إذا أعطينا مثال على الحالة الأولى لو كان ال + +505 +00:58:50,430 --> 00:58:54,810 +roots real and different و أعطينا مثال على الحالة + +506 +00:58:54,810 --> 00:58:58,230 +الثانية لو كان ال roots real and repeated و أعطينا + +507 +00:58:58,230 --> 00:59:02,190 +مثال على الحالة الثالثة لو كان ال roots are + +508 +00:59:02,190 --> 00:59:09,910 +complex طيب نواصل برضه في نفس الموضوع وإلى يكون + +509 +00:59:09,910 --> 00:59:16,790 +المثال التالي و بدنا نشوف شو رأيكم فيه أنتم + +510 +00:59:16,790 --> 00:59:24,410 +بتلاحظوا أن كل أسئلتنا حتى هذه اللحظة مالها كل طرف + +511 +00:59:24,410 --> 00:59:29,270 +اليمين Zero يعني ايش homogeneous differential + +512 +00:59:29,270 --> 00:59:33,050 +equation طيب لو بطلت تصير homogeneous + +513 +00:59:33,050 --> 00:59:37,170 +differential equation كيف بدنا نسويه؟ يبقى مثال + +514 +00:59:37,170 --> 00:59:43,400 +خمسة اللي بيجي زي هيك في الامتحانات بيقول Solve يعني + +515 +00:59:43,400 --> 00:59:47,380 +إذا بنجيب لكم على Euler تبقى هذا السؤال هدية مباشرة + +516 +00:59:47,380 --> 00:59:51,900 +لكن ممكن أجيبه على Euler مع شغل ثاني أصيد عصفورين + +517 +00:59:51,900 --> 00:59:59,320 +بحجرين واحد بقول Solve the differential equation + +518 +00:59:59,320 --> 01:00:04,420 +حل المعادلة التفاضلية اللي هي ال X في ال Y double + +519 +01:00:04,420 --> 01:00:13,400 +prime زائد Y prime يساوي اتناشر ln ال X على X وال + +520 +01:00:13,400 --> 01:00:18,860 +X greater than Zero وهذا نسميها اللي هي المعادلة + +521 +01:00:18,860 --> 01:00:24,220 +رقم واحد حد + +522 +01:00:24,220 --> 01:00:30,120 +بده ال channel على اليمين ضالة هذه؟ خلاص نمسح؟ + +523 +01:00:30,120 --> 01:00:30,780 +ماشي + +524 +01:00:45,180 --> 01:00:48,280 +نرجع لسؤالنا اللي قدامنا هذا بيقول solve the + +525 +01:00:48,280 --> 01:00:51,220 +differential equation و أعطاني معادلة بالشكل هذا و + +526 +01:00:51,220 --> 01:00:57,720 +سكت ما قال لي ولا حل و بس و أنت حر باجيب القلانة X + +527 +01:00:57,720 --> 01:01:03,420 +Y double prime طب هذه مش Euler و احنا بنعرف أن لما + +528 +01:01:03,420 --> 01:01:08,180 +تصير المعادلة المعاملات + +529 +01:01:08,180 --> 01:01:12,380 +متغيرات بده يعطيني أحد الحلول و أنا بجيب الحل + +530 +01:01:12,380 --> 01:01:16,230 +الثاني بال reduction of order مظبوط، لكن بنقوله + +531 +01:01:16,230 --> 01:01:22,970 +بسيطة جدا، روحه ضرب لكله في X، تمام؟ إذا لو ضربت + +532 +01:01:22,970 --> 01:01:28,770 +في X، بصير المعادلة X تربيع و Y double prime زائد + +533 +01:01:28,770 --> 01:01:35,050 +X في Y prime يساوي اتناشر ln ال X، صحيح ولا لا؟ + +534 +01:01:35,050 --> 01:01:40,750 +يبقى هذه شو اسمها؟ Homogeneous ولا Non-homogeneous؟ + +535 +01:01:40,750 --> 01:01:44,870 +Non-homogeneous differential equation لأن الطرف + +536 +01:01:44,870 --> 01:01:48,430 +اليمين صار فيه function ما هو ال Zero طب مادام + +537 +01:01:48,430 --> 01:01:52,890 +non-homogeneous أنا تعلمت قبل هيك من chapter تلاتة + +538 +01:01:52,890 --> 01:01:57,050 +حل ال non-homogeneous بطريقتين يا إما ال + +539 +01:01:57,050 --> 01:02:00,550 +undetermined coefficients يا إما ال variations of + +540 +01:02:00,550 --> 01:02:05,800 +parameters مظبوط؟ إذا بدي ألجأ إلى إحدى الطريقتين + +541 +01:02:05,800 --> 01:02:10,780 +لحل المعادلة إذا هأجزئ المعادلة إلى homogeneous وإلى + +542 +01:02:10,780 --> 01:02:14,880 +non homogeneous بدي أجي أقول لو افترض هذا Zero + +543 +01:02:14,880 --> 01:02:19,780 +بتظل المعادلة هذه، مين هي هذه؟ Euler ولا لا؟ رغم + +544 +01:02:19,780 --> 01:02:23,840 +أن ال term التالف طائر، مش موجود، إذا هذه ما لها؟ + +545 +01:02:23,840 --> 01:02:28,560 +Euler equation مدام Euler equation بفترض أن الحل + +546 +01:02:28,560 --> 01:02:29,500 +على الصيغة + +547 +01:02:41,450 --> 01:02:54,170 +يبقى الـ x يساوي 0 is a singular point for the + +548 +01:02:54,170 --> 01:03:00,910 +differential equation x تربيع y double prime زائد + +549 +01:03:00,910 --> 01:03:06,830 +x y prime يساوي zero يعني ال mainly ال homogenous + +550 +01:03:06,830 --> 01:03:18,620 +مش ال non homogenous إذا بناء عليه بقوله let Y + +551 +01:03:18,620 --> 01:03:25,600 +تساوي X أس R بحطش absolute لأن هو X greater than + +552 +01:03:25,600 --> 01:03:31,280 +0 طبعا لو ما قالش x greater than zero أنا بأستنتجها + +553 +01:03:31,280 --> 01:03:36,600 +لحالي ليش؟ لأن ال ln مش معرف إلا لقيمة موجبة إذا لا + +554 +01:03:36,600 --> 01:03:41,780 +يمكن x أن تكون zero ولا حتى قيمة سالبة طبعا يبقى + +555 +01:03:41,780 --> 01:03:51,160 +باجي بقول y تساوي x أس R be a solution of the + +556 +01:03:51,160 --> 01:03:58,100 +differential equation one والأتنين وين اتنين + +557 +01:03:58,100 --> 01:04:02,880 +هي اتنين يبقى لل homogenous مش لل non homogenous + +558 +01:04:02,880 --> 01:04:15,040 +يبقى then the characteristic equation is R في R + +559 +01:04:15,040 --> 01:04:22,380 +ناقص واحد زائد R كله بده يساوي zero ما عنديش ال term + +560 +01:04:22,380 --> 01:04:28,380 +الثالث طب هذه R تربيع ناقص R و زائد R مع السلامة + +561 +01:04:28,380 --> 01:04:34,700 +يبقى دهش بيعطيني R تربيع بدها تساوي قد إيش؟ كم حل ايه + +562 +01:04:34,700 --> 01:04:41,340 +المعادلة هذه حلين وكل واحد فيهم بدها تساوي Zero + +563 +01:04:41,340 --> 01:04:46,120 +يعني ال real repeated roots يبقى هذه بدها يعطينا + +564 +01:04:46,120 --> 01:04:51,870 +R واحد بدها تساوي R اتنين بدها تساوي Zero بناء عليه + +565 +01:04:51,870 --> 01:05:03,930 +solution yc حل الهوموجينيه بده يساوي C1 زائد C2 + +566 +01:05:03,930 --> 01:05:11,970 +لأن ال X في أكثر من هيك في X أس 0 بالضبط اللي + +567 +01:05:11,970 --> 01:05:18,910 +بواحد يبقى هذا بس شكل الحل بار الباقي يبقى هي حلنا + +568 +01:05:18,910 --> 01:05:25,140 +مين؟ الهوموجينس بدي آجي لمين؟ لل non homogeneous بطل + +569 +01:05:25,140 --> 01:05:28,560 +على ال non homogeneous يبقى هي ال non homogeneous + +570 +01:05:28,560 --> 01:05:34,460 +بقدر أحلها بال undetermined coefficients لأن أنا + +571 +01:05:34,460 --> 01:05:39,640 +عندي شرطين ولا واحد الحمد لله اتحقق المعاملات ما + +572 +01:05:39,640 --> 01:05:46,200 +هيش توابط اتنين هذه ليست على أي شكل من الجدول يبقى + +573 +01:05:46,200 --> 01:05:51,300 +أصلًا اللي ما ظلش قدامي إلا طريق واحد اللي هو مين ال + +574 +01:05:51,300 --> 01:05:54,680 +variation of parameter مش أنا حل بال variation of + +575 +01 + +601 +01:09:02,660 --> 01:09:13,810 +نجيب U1 of X لسالب تكامل Y2 الـ G of X على الـ + +602 +01:09:13,810 --> 01:09:22,810 +Ronskin of X DX سالب تكامل Y1 طولهمين لن ال X يبقى + +603 +01:09:22,810 --> 01:09:25,070 +I لن ال X + +604 +01:09:33,300 --> 01:09:40,760 +يبقى 12 لن ال X على X تربيع كله على ال + +605 +01:09:40,760 --> 01:09:46,720 +رونسكين اللي هو طولة جداش واحد على X بالنسبة إلى + +606 +01:09:46,720 --> 01:09:53,820 +DX طيب هاي السالب برا وهي التكامل أظن أن لو جلبتها + +607 +01:09:53,820 --> 01:09:59,160 +بتطلع ال X فوق مع X تربيع يفضل X في المقام يبقى + +608 +01:09:59,160 --> 01:10:06,400 +هاي 12 وهذا ال ln X الكل تربيع على X DX + +609 +01:10:08,930 --> 01:10:15,110 +مرة ثانية طلعوا ليه كويس 12 لن X تربيع هي + +610 +01:10:15,110 --> 01:10:19,150 +12 وهي لن X تربيع والسالب هي السالب بقى 1 + +611 +01:10:19,150 --> 01:10:22,170 +على X 1 على X تربيع تنجلي بعدها تطلع X + +612 +01:10:22,170 --> 01:10:27,610 +فوق و X تربيع تحت بقى 1 على X طيب السؤال هذي + +613 +01:10:27,610 --> 01:10:34,580 +1 على X DX مشتقت من؟ من ال ln X إذا بقدر أقول هذا + +614 +01:10:34,580 --> 01:10:44,320 +ناقص 12 تكامل من ln X الكل تربيع مشتقت من ln X يعني + +615 +01:10:44,320 --> 01:10:54,180 +كأنه أنا بكامل T تربيع DT تكعيب على 3 يعني هذا + +616 +01:10:54,180 --> 01:11:02,760 +يساوي ناقص 12 لان X الكل تكعيب على من؟ على + +617 +01:11:02,760 --> 01:11:07,530 +3 والكون اصلا هنفرض بعضها قليل بـ0 بدنا نشيلها + +618 +01:11:07,530 --> 01:11:14,490 +من البداية يبقى النتيجة صارت ناقص 4 لن X الكل + +619 +01:11:14,490 --> 01:11:21,890 +تكعيب طيب بدنا نيجي ناخد U2 as a function of X + +620 +01:11:21,890 --> 01:11:30,090 +يبقى تكامل Y1 في G of X على رونسكن of X DX يبقى + +621 +01:11:30,090 --> 01:11:37,710 +تكامل الحل الأولاني واحد زي ما هو الثاني 12 لن + +622 +01:11:37,710 --> 01:11:44,550 +ال X على X تربيع يبقى 12 لن ال X على X تربيع + +623 +01:11:44,550 --> 01:11:51,370 +على الرمز كل واحد على X DX يساوي 12 خليكي برا + +624 +01:11:51,370 --> 01:11:56,540 +وهي تكامل هذه ال X بتطلع فوق بتروح مع ال X هذه + +625 +01:11:56,540 --> 01:12:04,360 +بيصير لن ال X على X في ال DX بنفس الطريقة هذه + +626 +01:12:04,360 --> 01:12:12,940 +عبارة عن لن ال X يبقى يساوي 12 تكامل لن ال X مشتقة + +627 +01:12:12,940 --> 01:12:23,290 +لن ال X يبقى تربيع على 2 يبقى بده يساوي 6 لن X الكل + +628 +01:12:23,290 --> 01:12:29,810 +تربيع إذا ما بقدر أجيب له particular solution Y of + +629 +01:12:29,810 --> 01:12:36,610 +X Y of X يقال يو واحد of X يو واحد هيها جاهزة اللي + +630 +01:12:36,610 --> 01:12:46,160 +هو قداش ناقص أربعة لن X الكل تكعيب اللي بعدها زائد U + +631 +01:12:46,160 --> 01:12:54,100 +2 يبقى زائد ستة لن ال X الكل تربيع مضروب في + +632 +01:12:54,100 --> 01:13:02,780 +من؟ في لن ال X يعني لن ال X الكل تكعيب بصير ناقص + +633 +01:13:02,780 --> 01:13:10,940 +أربعة و هنا زائد ستة بقى الجداش 2 لن ال X الكل + +634 +01:13:10,940 --> 01:13:16,920 +تكعيب جبنا ال particular solution وعندي حل ال + +635 +01:13:16,920 --> 01:13:21,540 +homogeneous يبقى باجي مع 2 بكون جبت حلين + +636 +01:13:21,540 --> 01:13:27,640 +المسألة الأولى يبقى باجي بقوله the general + +637 +01:13:27,640 --> 01:13:41,640 +solution of the differential يبقى y يساوي + +638 +01:13:41,640 --> 01:13:53,040 +yc زائد capital Y of x يبقى y يساوي c1 c2 لإن ال x + +639 +01:13:53,040 --> 01:14:01,940 +زائد 2 لإن ال x الكل تكعيب بالرابعية في الامتحانات + +640 +01:14:01,940 --> 01:14:06,260 +بنجيب زي هيك كتير بنكرر هذه الطريقة ليش؟ لأنها + +641 +01:14:06,260 --> 01:14:09,360 +بتدي بعدة طرق حل ال homogeneous و ال non + +642 +01:14:09,360 --> 01:14:14,500 +homogeneous حل ال Euler بعد هيك اللي هو حل ال non + +643 +01:14:14,500 --> 01:14:18,000 +homogeneous differential equation وبالتالي بنجيب + +644 +01:14:18,000 --> 01:14:21,220 +أكتر من موضوع بسؤال إنه عجيب، هي جيبنا ال + +645 +01:14:21,220 --> 01:14:28,460 +variation مع مين؟ مع ال Euler حد فيكوا لأيه تساوي + +646 +01:14:28,460 --> 01:14:42,220 +هنا؟ حاجة بتسأل؟ ماشي طب + +647 +01:14:42,220 --> 01:14:48,680 +أحيانا يا بنات معادلة Euler هذه ممكن نروح نحلها + +648 +01:14:48,680 --> 01:14:53,900 +بال undetermined coefficients وليس بال variation + +649 +01:14:53,900 --> 01:15:00,820 +of parameters كيف بعد ما نتحيل على المعادلة و بدل + +650 +01:15:00,820 --> 01:15:06,400 +المعاملات اللي هم متغيرات بحولهم إلى ثوابت؟ أن + +651 +01:15:06,400 --> 01:15:10,600 +حولناهم إلى ثوابت بقدر أستخدمين ال undetermined + +652 +01:15:10,600 --> 01:15:14,640 +coefficients بسمين بشرط الطرف اليمين يكون + +653 +01:15:14,640 --> 01:15:17,400 +polynomial يا polynomial في exponential يا + +654 +01:15:17,400 --> 01:15:21,600 +polynomial في exponential في sine او cosine او + +655 +01:15:21,600 --> 01:15:26,680 +مجموعهما او الفرق فيما بينهما إذا هحطلك هذا الكلام + +656 +01:15:26,680 --> 01:15:36,060 +على صورة ال remark التالية يبقى remark بيقول + +657 +01:15:36,060 --> 01:15:46,600 +لي any Euler equation لل X تربيع في ال Y double prime + +658 +01:15:46,600 --> 01:15:54,600 +زائد Alpha X في ال Y prime زائد بيتا واي تساوي زيرو + +659 +01:15:54,600 --> 01:16:08,540 +can always can always can always be written as be + +660 +01:16:08,540 --> 01:16:17,940 +written as من هناك درستهم دائما و أبدا as a linear + +661 +01:16:19,490 --> 01:16:24,450 +مقارنة مع + +662 +01:16:24,450 --> 01:16:29,490 +مقارنة + +663 +01:16:29,490 --> 01:16:31,110 +مع مقارنة مع مقارنة مع مقارنة مع مقارنة مع مقارنة + +664 +01:16:31,110 --> 01:16:40,530 +مع مقارنة مع مقارنة مع مقارنة مع مقارنة مع مقارنة + +665 +01:16:40,530 --> 01:16:45,910 +مع مقارنة مع مقارنة مع + +666 +01:16:50,760 --> 01:16:56,380 +بالتحديد X يساوي E أساسي كتابة + +667 +01:17:20,860 --> 01:17:24,880 +إذا زي طريقتنا اللي تاومت طريقت أستخدم ال + +668 +01:17:24,880 --> 01:17:29,040 +variation of parameters في حل معادلة euler ممكن + +669 +01:17:29,040 --> 01:17:32,600 +أضطر أستخدم اللي هو ال undetermined coefficients + +670 +01:17:32,600 --> 01:17:36,980 +في حل معادلة euler كمان، إيش بيقول لي؟ بيقول لي + +671 +01:17:36,980 --> 01:17:42,970 +معادلة euler هذه ممكن دائما وأبدا نحولها إلى معادلة + +672 +01:17:42,970 --> 01:17:49,470 +خطية بمعاملات ثابتة لو استخدمنا التعويض X يساوي E + +673 +01:17:49,470 --> 01:17:56,870 +أوس T السؤال كيف؟ بنقول لك التالي عندك X يساوي E أوس + +674 +01:17:56,870 --> 01:18:06,300 +T خذيني لن للطرفين يبقى بصير T تساوي لن X لن ال X + +675 +01:18:06,300 --> 01:18:10,780 +يساوي T في لن ال E لن ال E بواحد يبقى بيضلها إلا T + +676 +01:18:10,780 --> 01:18:16,740 +طب لو اشتقينا هذه بالنسبة ل X بيصير DT على DX يساوي + +677 +01:18:16,740 --> 01:18:22,560 +جداش يساوي واحد على X خلي لي هالمعلومة هذه عندك و + +678 +01:18:22,560 --> 01:18:28,440 +تعالى نشوف كيف بدنا نسوي الآن أنا عند مين Y prime + +679 +01:18:28,440 --> 01:18:35,800 +اللي هي مين DY على DX صحيح ولا لأ طيب، أليس تهادي + +680 +01:18:35,800 --> 01:18:42,660 +فيها أي علاقة في دالة بتربط T و X، يعني X دالة في T، + +681 +01:18:42,660 --> 01:18:50,420 +إذا بقدر أقولها دي Dy على Dt في Dt على Dx، صحيح + +682 +01:18:50,420 --> 01:18:55,880 +ولا لا؟ طيب دي تي على دي إكس بجداش واحد على إكس إذا + +683 +01:18:55,880 --> 01:19:02,420 +صار تدي واحد على إكس في دي واي على دي تي إذا صارت + +684 +01:19:02,420 --> 01:19:08,080 +المشتقة الأولى تبعت المعادلة y prime بقدر أكتبها + +685 +01:19:08,080 --> 01:19:13,390 +بالشكل اللي قدامنا هذه فلما تضرب في X تذهب ولا + +686 +01:19:13,390 --> 01:19:18,010 +تبقى المعاملة ثابتة اللي هو Alpha صحيح ولا لأ؟ كما + +687 +01:19:18,010 --> 01:19:24,790 +غيرنا هذه سأغير أيضا ال Y double prime بجي بقول يبقى ال Y double prime + +688 +01:19:25,550 --> 01:19:35,750 +يبقى هي D على DX ده 1 على X في DY على DT مظبوط؟ + +689 +01:19:35,750 --> 01:19:44,630 +إذا أنا مشتقتش حاصل ضرب دالتين مش تقولوا بقداش سالب + +690 +01:19:44,630 --> 01:19:49,790 +واحد على X تربيع يبقى هاي سالب واحد على X تربيع + +691 +01:19:49,790 --> 01:19:58,910 +ودالة ثانية كما هي Z الواحد على X زي ما هي وهذا D + +692 +01:19:58,910 --> 01:20:10,210 +على DX لمين؟ لDY على DT طبعا يساوي هذا زي ما هو + +693 +01:20:10,210 --> 01:20:17,030 +واحد على X تربيع بالثالث في DY على DT زائد واحد + +694 +01:20:17,030 --> 01:20:22,370 +على X احنا جميعا توسعنا لكسة دي function في من؟ في + +695 +01:20:22,370 --> 01:20:27,990 +T لأن X هنا بدأت تساوي U of T إذا أنا ده مقدر + +696 +01:20:27,990 --> 01:20:35,840 +أكتبه D على DT في DT على DX يبقى هذا بده يصير 1 على + +697 +01:20:35,840 --> 01:20:47,230 +X في D على DT لDY على DT في DT على DX تمام؟ يبقى ما + +698 +01:20:47,230 --> 01:20:52,350 +سويتش اشي وعلى ال X هيها هذه دي على دي X + +699 +01:20:52,350 --> 01:20:56,950 +عملتها دي على دي تي في دي تي على دي X وظل دي على + +700 +01:20:56,950 --> 01:21:01,490 +دي تي لمين؟ للمقدار اللي عنها هذا يبقى هذا الكلام + +701 +01:21:01,490 --> 01:21:07,890 +يساوي سالب واحد على X تربيع في دي واي على دي تي + +702 +01:21:07,890 --> 01:21:13,650 +زائد كداش هذا المقدار يا بنات؟ دي تي على دي X + +703 +01:21:13,650 --> 01:21:18,630 +واحد على X و اندك واحد على X مضروب فيه يصير + +704 +01:21:18,630 --> 01:21:24,130 +واحد على X تربيع يبقى هاي واحد على X تربيع طيب + +705 +01:21:24,130 --> 01:21:28,810 +هدى شو تعني المتغير هدى هو المتغير هدى تعني + +706 +01:21:28,810 --> 01:21:37,520 +المشتقة الثانية لـ Y بالنسبة لـ T الآن يبقى في d²y على + +707 +01:21:37,520 --> 01:21:44,840 +dt² شو رأيك لو أخدت 1 على x تربيع عامل مشترك بيظل + +708 +01:21:44,840 --> 01:21:55,880 +d²y على dt² ناقص dy على dt خلصنا + +709 +01:21:57,040 --> 01:22:01,760 +يبقى احنا تطلع يواءي prime شو شكلها و تطلع يواءي + +710 +01:22:01,760 --> 01:22:06,620 +double prime شو شكلها بدي أخد هالمعلومتين هدول و + +711 +01:22:06,620 --> 01:22:09,420 +ارجع أعوض في المعادلة الخاصة و أشوف طاروا + +712 +01:22:09,420 --> 01:22:14,800 +المعاملات هدول و صاروا معاملات ثابتة ولا لأ يبقى + +713 +01:22:14,800 --> 01:22:19,980 +باجي بقول هنا substitute سميني هذه اللي هي + +714 +01:22:19,980 --> 01:22:23,220 +المعادلة رقم 1 يبقى substitute + +715 +01:22:26,620 --> 01:22:36,400 +Equation one we get هذا ال X تربيع Y فتحنا جوش وي + +716 +01:22:36,400 --> 01:22:41,800 +دابل هرام هي اللي تحت 1 على X تربيع فيه دي + +717 +01:22:41,800 --> 01:22:50,420 +سكوير Y على دي تي سكوير ناقص DY على دي تي جف للجوش + +718 +01:22:50,420 --> 01:22:56,340 +الصغير و جف للجوش الكبير زائد alpha x في main في ال + +719 +01:22:56,340 --> 01:23:03,360 +y prime y prime اللي هو 1 على x في dy على dt + +720 +01:23:03,360 --> 01:23:10,580 +خلصنا منها زائد beta y كله بده يساوي قداش zero اظن + +721 +01:23:10,580 --> 01:23:19,420 +هذه بتروح مع هذه يبقى صار d2y على dt2 ناقص dy على + +722 +01:23:19,420 --> 01:23:27,120 +dt زائد هذه برضه بتروح مع هذه يبقى alpha dy على dt + +723 +01:23:27,120 --> 01:23:36,810 +زائد beta y ساوي zero صحيح؟ طيب هذا الحينها هو d²y + +724 +01:23:36,810 --> 01:23:45,710 +على dt² هذه هذه يبقى زائد alpha ناقص 1 في dy + +725 +01:23:45,710 --> 01:23:54,320 +على dt زائد beta y يساوي zero المعامل 1 صحيح + +726 +01:23:54,320 --> 01:23:59,920 +alpha رقم ناقص 1 رقم beta رقم يبقى صارت + +727 +01:23:59,920 --> 01:24:05,000 +equation with constant coefficients يبقى هذه + +728 +01:24:05,000 --> 01:24:15,660 +second order linear differential equation with + +729 +01:24:15,660 --> 01:24:19,360 +constant coefficients + +730 +01:24:25,360 --> 01:24:30,440 +هذه المعادلة حولناها إلى معادلة بمعاملات ثابتة + +731 +01:24:30,440 --> 01:24:35,260 +يبقى مضلها إلا تطلع على شكل g of x إذا بنتبق + +732 +01:24:35,260 --> 01:24:38,420 +عليها ال undetermined coefficients بحلها بال + +733 +01:24:38,420 --> 01:24:42,840 +undetermined coefficients لا ينطبق برجع لمين لل + +734 +01:24:42,840 --> 01:24:47,580 +variation of parameters يبقى بقدر أحل بالشكل هذا + +735 +01:24:47,580 --> 01:24:51,310 +أو بالشكل هذا طب لو بنقدر نحلها بال undetermined + +736 +01:24:51,310 --> 01:24:54,030 +coefficients و رح نحلناها بال variational + +737 +01:24:54,030 --> 01:24:58,470 +parameters غلط؟ لأ مش غلط صح ايه لأ وبتالي + +738 +01:24:58,470 --> 01:25:03,730 +ماعنديش مشكلة بدنا ناخد مثال فقط على الشغل هذه + +739 +01:25:41,820 --> 01:25:44,480 +معادلة التفاضلية + +740 +01:25:49,070 --> 01:25:59,130 +زائد x في ال y prime ناقص y يساوي تسعة x تربيع في + +741 +01:25:59,130 --> 01:26:04,030 +لن ال x و ال x greater than zero وسميلي هذه + +742 +01:26:04,030 --> 01:26:12,850 +المعادلة رقم 1 use the + +743 +01:26:12,850 --> 01:26:16,630 +substitution + +744 +01:26:16,630 --> 01:26:28,250 +استخدم التعويضة اللي هو من X تساوي E أس T to solve + +745 +01:26:28,250 --> 01:26:31,750 +equation + +746 +01:26:31,750 --> 01:26:36,010 +one نمر بيه + +747 +01:26:39,560 --> 01:27:00,760 +solve the differential equation one directly يعني + +748 +01:27:00,760 --> 01:27:06,320 +كأن احنا بنحل السؤال ده كم مرة؟ مرتين تمام ومكفف + +749 +01:27:06,320 --> 01:27:10,160 +نحله مرتين و مكفف اليوم و نخلص ال section طيب + +750 +01:27:10,160 --> 01:27:12,960 +تعالى نشوف كيف نحله ايش بيقول لي في الأول استخدمي + +751 +01:27:12,960 --> 01:27:17,360 +التعويضة هذه عشان اتحل المعادلة التفاضلية اللي + +752 +01:27:17,360 --> 01:27:21,500 +عندك كده يبقى أنا بدي اخذ ال homogeneous هل ال + +753 +01:27:21,500 --> 01:27:26,280 +homogeneous هدى Euler ولا ماهي Euler عشان أنا + +754 +01:27:26,280 --> 01:27:31,960 +لحالي بدي أعرف شكل ال Euler عشان أعرف احلها ب + +755 +01:27:31,960 --> 01:27:39,660 +Euler ولا يبدا بجي بقوله نمرة a مضاجي أقول ال X + +756 +01:27:39,660 --> 01:27:48,820 +يساوي E أس T يبقى T تساوي لن ال X يبقى DT على DX + +757 +01:27:48,820 --> 01:27:56,220 +يساوي كده؟ واحد على X and والـ y prime يا بنات + +758 +01:27:56,220 --> 01:28:03,700 +حسبناها توا 1 على x في dy على dt و ال y double + +759 +01:28:03,700 --> 01:28:10,660 +prime 1 على x تربيع في d square y على dt square + +760 +01:28:10,660 --> 01:28:21,260 +ناقص dy على dt هذه ما بعدتش مظبوط؟ مدام هيك يبقى + +761 +01:28:21,260 --> 01:28:23,460 +بدنا نبدأ نشتغل شغلنا + +762 +01:28:26,580 --> 01:28:31,020 +لحظة الشغل اللي اشتغلناه نظري ايه بنعيده كمان مرة + +763 +01:28:31,020 --> 01:28:36,480 +الآن بتاخد هالمعلومة تدى وعوض وين في المعادلة رقم + +764 +01:28:36,480 --> 01:28:38,920 +1 يبقى باجي بقوله + +765 +01:28:48,520 --> 01:28:55,800 +هذا ال X تربيع وهذا 1 على X تربيع في D2Y على + +766 +01:28:55,800 --> 01:29:07,590 +DT2 ناقص DY على DT اللي بعده زائد X في 1 على X + +767 +01:29:07,590 --> 01:29:17,510 +في DY على DT اللي بعده ناقص Y كما هي يساوي هي + +768 +01:29:17,510 --> 01:29:24,960 +التسعة طلعوا لقبلات X تربيع كداش X؟ Eost ربيع بصير + +769 +01:29:24,960 --> 01:29:30,600 +Eost لكل تربيع يعني E أس 2T يبقى ال X تربيع + +770 +01:29:30,600 --> 01:29:39,280 +صارت E أس 2T لإن ال X بجداش بي تي يبقى صارت + +771 +01:29:39,280 --> 01:29:42,840 +بي تي مش هتروح تسوي الشجة الشمال و تنسي الشجة + +772 +01:29:42,840 --> 01:29:49,080 +اليمين وصلت خبسة عندك 3 متغيرات X Y و T لأ هاي + +773 +01:29:49,080 --> 01:29:53,200 +المعادلة من أول لآخره مافيش إلا متغيرين و I + +801 +01:32:48,490 --> 01:32:53,650 +مالها مانه + +802 +01:32:53,650 --> 01:32:57,510 +homogeneous لكن المعاملات ثوابت مش متغيرات زي راس + +803 +01:32:57,510 --> 01:33:03,650 +المسألة يبقى هاد اللي بده بروزها ورجعلها بعد قليل + +804 +01:33:03,650 --> 01:33:13,210 +يبقى باجي بقوله the particular solution of + +805 +01:33:13,210 --> 01:33:19,050 +this equation هذي يبقى نسميها الاتنين اللي فوق كانت + +806 +01:33:19,050 --> 01:33:24,950 +واحد يبقى هذي .. هذي لأ وين؟ هذي اللي هي وين + +807 +01:33:24,950 --> 01:33:31,310 +اختصرناها صارت هذي هذي بتسميها الاتنين يبقى of the + +808 +01:33:31,310 --> 01:33:40,210 +differential equation 2Y of T بيبقى Y of T + +809 +01:33:40,210 --> 01:33:49,010 +بيبقى Y of T بيبقى Y of + +810 +01:33:49,010 --> 01:34:00,010 +T بيبقى Y of T بيبقى Y of + +811 +01:34:00,010 --> 01:34:05,440 +T بيبقى Y of T بيبقى Y of T بيبقى Y of T بيبقى + +812 +01:34:05,440 --> 01:34:10,540 +بعد هي كده بقول غطي ال T و أس S و بعد هي بتطلع ال + +813 +01:34:10,540 --> 01:34:16,600 +باقي هل اي term هنا يشبه اي term هنا لأ لإن هذه E + +814 +01:34:16,600 --> 01:34:20,940 +أس T و هذه E أس 2T بختلفوا عن بعض يبقى ال S هنا + +815 +01:34:20,940 --> 01:34:28,780 +بجدية ب Zero يبقى هنا ال S تساوي Zero مدام Zero + +816 +01:34:28,780 --> 01:34:33,200 +اذا capital Y of T يساوي + +817 +01:34:42,580 --> 01:34:50,130 +طيب بدنا نجيب قداش a naught و قداش a one يبقى باجي + +818 +01:34:50,130 --> 01:34:58,250 +بقوله y prime يساوي a naught في e أس اتنين t زائد + +819 +01:34:58,250 --> 01:35:07,150 +اتنين a naught t زائد اتنين a one كله في e أس اتنين + +820 +01:35:07,150 --> 01:35:17,400 +t ع رايحك بالمرة يبقى هذا كله بيساوي a0 زائد اتنين + +821 +01:35:17,400 --> 01:35:26,180 +a0t زائد اتنين a1 كله في ال E أس اتنين T مش شاكر + +822 +01:35:26,180 --> 01:35:33,710 +يا أهلي؟ خلاص طيب بدنا نجيب y double prime نشتغل كمان مرة + +823 +01:35:33,710 --> 01:35:42,090 +هذه ب zero وهذه ب zero وهذه ب 2 a naught يبقى 2 a + +824 +01:35:42,090 --> 01:35:51,830 +naught في e أوس 2t زائد a2 في a naught 2 a naught + +825 +01:35:51,830 --> 01:35:57,210 +t 2 a1 في e أوس 2t + +826 +01:35:59,320 --> 01:36:04,580 +بدي اخد E أس اتنين T عام المشترك يبقى بظل قداش + +827 +01:36:04,580 --> 01:36:13,400 +اتنين A نوت وزائد كمان اتنين A نوت بمش وهي زائد + +828 +01:36:13,400 --> 01:36:21,640 +اتنين في اتنين باربع A نوت T وزائد اربع A one كل + +829 +01:36:21,640 --> 01:36:31,330 +هذا في E أس اتنين T يعني كداش يعني اربع a نوت زائد + +830 +01:36:31,330 --> 01:36:41,750 +اربع a one زائد اربع a نوت T كله هدا وين؟ في E أس + +831 +01:36:41,750 --> 01:36:48,750 +اتنين T كويس؟ يبقى الأن بتروح عوض وين؟ في المعادلة + +832 +01:36:48,750 --> 01:36:54,070 +رقم اتنين يبقى باجي بقوله substitute + +833 +01:37:08,530 --> 01:37:17,750 +يبقى الهيمين هذه كلها يبقى اربع a نوت زائد اربع a + +834 +01:37:17,750 --> 01:37:23,320 +one اربع a note T و بدي أخلّي الـ exponential للكل + +835 +01:37:23,320 --> 01:37:30,660 +بعد هيش ناقص Y وين Y هيو يبقى بدي أحط لها ناقص + +836 +01:37:30,660 --> 01:37:41,160 +يبقى ناقص A ناقص T ناقص N كله في ال E أس اتنين T + +837 +01:37:41,160 --> 01:37:49,120 +بدي أساوي الطرف اليمين اللي هو تسعة T E أس اتنين T + +838 +01:37:49,860 --> 01:37:56,440 +أظن ممكن اقسم الطرفين على E أس اتنين T ويظل انما + +839 +01:37:56,440 --> 01:38:04,200 +يأتي اربع A نود مفيش غيرها يبقى هاي اربع A نود + +840 +01:38:04,200 --> 01:38:13,120 +وعندك اربع A one وناقص A one يبقى زائد تلاتة A one + +841 +01:38:13,790 --> 01:38:21,290 +أربعة A نوت T ونقص A نوت T يبقى زائد تلاتة A نوت T + +842 +01:38:21,290 --> 01:38:29,750 +كله بده يساوي تسعة T نقد مقارنة ما بين الطرفين + +843 +01:38:29,750 --> 01:38:37,290 +يبقى هذا بده يعطيلك انه تلاتة A نوت بده يساوي قداش + +844 +01:38:37,290 --> 01:38:44,380 +تسعة يعني هذا بده يعطيلك انه A نوت يساوي قداش تلاتة + +845 +01:38:44,380 --> 01:38:51,980 +and هذا كله مافيش فيه T يبقى كده بده يساوي؟ Zero + +846 +01:38:51,980 --> 01:38:59,120 +and أربعة a naught زائد تلاتة a one بده يساوي Zero + +847 +01:38:59,120 --> 01:39:06,380 +هذا بده يعطينا الـ A نوله كم؟ بتلاتة يبقى هاي أربعة + +848 +01:39:06,380 --> 01:39:14,080 +في تلاتة زائد تلاتة A1 بده ساوي Zero يبقى A1 كم + +849 +01:39:14,080 --> 01:39:21,180 +بده ساوي يا بنات؟ سالب أربعة يبقى اذا اصبح capital + +850 +01:39:21,180 --> 01:39:30,780 +Y of T بده يساوي E naught اللي هي تلاتة يبقى تلاتة + +851 +01:39:30,780 --> 01:39:40,400 +T ناقص اربعة في E أوس اتنين T اذا هذا ال + +852 +01:39:40,400 --> 01:39:45,560 +particular solution يبقى بناء عليه صار ال general + +853 +01:39:45,560 --> 01:39:54,920 +solution y يساوي yc زائد capital Y of T يبقى y + +854 +01:39:54,920 --> 01:40:04,120 +يساوي yc هيها فوق يبقى c واحد e أس ناقص T زائد c + +855 +01:40:04,120 --> 01:40:14,200 +اتنين e أس T زائد تلاتة T ناقص أربعة في E أوس اتنين + +856 +01:40:14,200 --> 01:40:20,720 +T خليني أسأل السؤال التالي هل المعادلة من أولها + +857 +01:40:20,720 --> 01:40:26,220 +إلى آخرها فيها T إذا بيدروح أحولها كلها بدلالة من؟ + +858 +01:40:26,220 --> 01:40:32,060 +بدلالة X إذا لو حولتها بدلالة X بدها تصبح على + +859 +01:40:32,060 --> 01:40:38,980 +الشكل التالي يعني بده أشيل الـ E أُس T وحُط مكانها + +860 +01:40:38,980 --> 01:40:46,440 +X طيب ال E أُس ناقص T واحد + +861 +01:40:46,440 --> 01:40:51,280 +على X يعني X أُس سالب واحد طبعا يبقى هذه بدها تصير + +862 +01:40:51,280 --> 01:40:57,060 +على الشكل التالي طيب نمسح هذا وخلّي المعادلة هي + +863 +01:40:57,060 --> 01:41:04,860 +فوق و هذا كله بدنا نشيله هنقول لك هذا على الشكل + +864 +01:41:04,860 --> 01:41:11,940 +التالي يبقى solution of + +865 +01:41:11,940 --> 01:41:20,380 +equation one is y يساوي عندك هنا c واحد + +866 +01:41:26,150 --> 01:41:40,430 +يبقى اكس أس سالب واحد تمام زائد C تلاتة + +867 +01:41:40,430 --> 01:41:45,610 +X + +868 +01:41:45,610 --> 01:41:55,680 +ناقص أربعة الـ A أُس T بلن ال X يعني ايه + +869 +01:41:55,680 --> 01:42:03,860 +نكتبه لك هتوتين يبقى E أُسي اتنين و T اليمين لن ال + +870 +01:42:03,860 --> 01:42:10,580 +X يبقى صار عندنا Y يسوي C واحد X أُس ناقص واحد C + +871 +01:42:10,580 --> 01:42:17,900 +اتنين X زائد تلاتة لن ال X ناقص أربعة فيهطلعيني + +872 +01:42:17,900 --> 01:42:21,720 +هنا اتنين بتجي كواصل ال X تربيع ال E و L عكس بعض + +873 +01:42:21,720 --> 01:42:29,900 +يبقى هذي بصير X تربيع فقط لا غير تمام؟ بدك تفكيها + +874 +01:42:29,900 --> 01:42:34,100 +الحين فش مشكلة تخليها زي ما هي فش مشكلة يبقى واعي + +875 +01:42:34,100 --> 01:42:42,080 +C1 X ناقص واحد C2 X تلاتة X تربيع لن ال X ناقص + +876 +01:42:42,080 --> 01:42:48,150 +أربعة X تربيع بريوزيها و بدنا الحل التاني يطلع زي + +877 +01:42:48,150 --> 01:42:53,130 +هذا بس الحل التاني قصير مش زي هذا لإن لا بدنا نحور + +878 +01:42:53,130 --> 01:43:00,350 +ولا حاجة حتى + +879 +01:43:00,350 --> 01:43:05,090 +الآن خلصنا إيه من المثلة بدنا نيجي اللي بيه بيه + +880 +01:43:05,090 --> 01:43:10,650 +هاي المثلة قدامي زي مهين يبقى أنا بدي أخد Euler + +881 +01:43:10,650 --> 01:43:15,940 +لحاله وبعد هيك بروح باخد ال homogeneous تمام يبقى + +882 +01:43:15,940 --> 01:43:25,100 +باجي بقوله هنا let او هنا باجي بقوله ال X تساوي + +883 +01:43:25,100 --> 01:43:36,980 +zero is a singular point for the Euler + +884 +01:43:36,980 --> 01:43:46,500 +differential equation اللي هي main x تربيع y double prime + +885 +01:43:46,500 --> 01:43:55,280 +زائد x y prime ناقص y تساوي zero يبقى باجي بقوله + +886 +01:43:55,280 --> 01:44:04,820 +let y تساوي x أس ار بي solution هذه واحدة سمينا + +887 +01:44:04,820 --> 01:44:10,620 +اثنين هذه تكون تلاتة بي solution of equation + +888 +01:44:11,270 --> 01:44:23,170 +تلاتة then the characteristic equation is R في R + +889 +01:44:23,170 --> 01:44:33,110 +ناقص واحد زائد R وهنا ناقص واحد كله بده يساوي كده؟ + +890 +01:44:33,110 --> 01:44:38,920 +بده يساوي Zero يبقى هذا الكلام بده يعطيك انه R + +891 +01:44:38,920 --> 01:44:45,180 +تربيه هنا ناقص R وزائد R مع السلامة ناقص واحد + +892 +01:44:45,180 --> 01:44:51,940 +يساوي Zero يبقى ال R تساوي زائد او ناقص واحد يبقى + +893 +01:44:51,940 --> 01:45:01,080 +صار YC يساوي C واحد X أوس ناقص واحد C اتنين X + +894 +01:45:04,180 --> 01:45:09,040 +يبقى هاي جيبنا أحل ال homogeneous بنا نيجي لمين ال + +895 +01:45:09,040 --> 01:45:13,860 +non-homogenous بنفعش غير أروح أخلي المعامل تبع Y'' + +896 +01:45:13,860 --> 01:45:14,660 +هو مين + +897 +01:45:35,320 --> 01:45:43,760 +وأحد صحيح يبقى بروح باقسم كله على مين؟ على + +898 +01:45:43,760 --> 01:45:50,900 +X تربيع كله في ال Y بده يساوي تسعة في ال N ال X + +899 +01:45:50,900 --> 01:45:56,460 +يبقى هادي G يا بنات طيب إذا حاطينا المعادلة في + +900 +01:45:56,460 --> 01:46:02,580 +مين؟ في الشكل الجديد اللي عندنا المعادلة هذه يبقى + +901 +01:46:02,580 --> 01:46:06,420 +واضح المعاملات متغيرات إذا لا يمكن أقدر أحلها بالـ + +902 +01:46:06,420 --> 01:46:09,900 +Undetermined coefficients يبقى بيذهب لمين؟ + +903 +01:46:09,900 --> 01:46:13,240 +للvariation of parameters مشان واخد ال variation of + +904 +01:46:13,240 --> 01:46:16,960 +parameters بيذهب أحسب ال runoff skin تبع من؟ تبع + +905 +01:46:16,960 --> 01:46:21,040 +الحالين الأثنين هدول إذا بدي أجهزة أقول ال runoff + +906 +01:46:21,040 --> 01:46:27,690 +skin as a function of x يساوي الحل الأول x أوس ناقص + +907 +01:46:27,690 --> 01:46:34,270 +واحد والحل التاني x مشتقته السالب x أوس سالب اتنين + +908 +01:46:34,270 --> 01:46:41,010 +وهنا واحد ويساوي حصل ضرب عناصر القطر الرئيسي ناقص + +909 +01:46:41,010 --> 01:46:46,570 +مع ناقص بالسير الزائد حصل ضرب عناصر القطر الثانوي + +910 +01:46:46,570 --> 01:46:54,260 +يبقى اتنين x أوس ناقص واحد أو اتنين على X طبعا + +911 +01:46:54,260 --> 01:46:59,060 +اشترطلي في الاول X لا تساوي ال zero يبقى هذا لا + +912 +01:46:59,060 --> 01:47:05,920 +يمكن ان يساوي من ال zero يبقى باجي بقوله هنا the + +913 +01:47:05,920 --> 01:47:11,760 +particular solution + +914 +01:47:11,760 --> 01:47:19,780 +of equation + +915 +01:47:21,050 --> 01:47:25,670 +هذه تسميها تلاتة وهذه تسميها أربعة يا بنات of + +916 +01:47:25,670 --> 01:47:34,230 +equation أربعة is capital Y of X ماعنديش T هنا + +917 +01:47:34,230 --> 01:47:40,630 +يبقى capital Y of X يساوي U one of X في ال X + +918 +01:47:40,630 --> 01:47:49,090 +السالب واحد زائد U اتنين of X في ال X itself الآن + +919 +01:47:49,090 --> 01:47:56,330 +بدنا نجي الى u1 as a function of x سالب تكامل y2 + +920 +01:47:56,330 --> 01:48:04,110 +في g of x على رونسكين of x dx سالب تكامل y2 اللي + +921 +01:48:04,110 --> 01:48:11,870 +هي ب x وال g of x اللي هي بتسعى لإن ال x تسعة لإن ال + +922 +01:48:11,870 --> 01:48:17,790 +X مقسم على ال رونسكين ال رونسكين هو كم؟ اتنين على + +923 +01:48:17,790 --> 01:48:26,290 +X DX تمام؟ يبقى هذي بيصير سالب تسعة على اتنين وال + +924 +01:48:26,290 --> 01:48:34,090 +X هذي تطلع فوق بصير تكامل لل X تربيع لإن ال X في + +925 +01:48:34,090 --> 01:48:43,580 +DX كيف بنكمل هذه؟ بس الجدول لا بيجيبهاش الجدول لإن + +926 +01:48:43,580 --> 01:48:48,700 +هذه لن ال X مش شهيدة لتانية تمام اذا بتروح اقول يا + +927 +01:48:48,700 --> 01:48:57,760 +بنات ال U تساوي لن ال X و ال DV بتساوي ال X تربيع + +928 +01:48:57,760 --> 01:49:04,580 +في DX يبقى ال DU بواحد على X DX و ال V ب X تكيب + +929 +01:49:04,580 --> 01:49:14,280 +على تلاتة يبقى هذه يبقى النتيجة يساوي ناقص تسعة على + +930 +01:49:14,280 --> 01:49:22,380 +اتنين هيها برا U في V اللي هو تالت X تكيب في لن X + +931 +01:49:22,380 --> 01:49:25,240 +ناقص تكامل V + +932 +01:49:34,280 --> 01:49:42,400 +يبقى هذا الكلام ناقص تسعة على اتنين في ثالت X تكيب + +933 +01:49:42,400 --> 01:49:51,740 +لإن X مع X تربيع بتروح بظهر بس X تربيع تكاملة X + +934 +01:49:51,740 --> 01:49:59,300 +تكيب على تلاتة يبقى ناقص X تكيب على تسعة بالشكل + +935 +01:49:59,300 --> 01:50:05,630 +اللي عنها ده ندخل التسعين عليها بالسالب يبقى سالب + +936 +01:50:05,630 --> 01:50:12,950 +بظل تلاتة على اتنين سالب تلاتة على اتنين اكس تكيب + +937 +01:50:12,950 --> 01:50:18,590 +للنل اكس سالب مع سالب بيصير موجب تسعة مع تسعة مع + +938 +01:50:18,590 --> 01:50:27,650 +السلامة يبقى نص اكس تكيب بدنا ال U اتنين ال U + +939 +01:50:27,650 --> 01:50:35,450 +تكامل للـ Y1 في الـ G of X على رونسكين of X في الـ + +940 +01:50:35,450 --> 01:50:42,430 +DX هو يسوي تكامل Y1 اللي هو في كده؟ X أوس ناقص + +941 +01:50:42,430 --> 01:50:49,510 +واحد X أوس ناقص واحد الـ G of X اللي هو التسعة في + +942 +01:50:49,510 --> 01:50:56,470 +لن ال X على مين؟ على رونسكين كده طلعناه؟ هي موجودة + +943 +01:50:56,470 --> 01:51:04,110 +عندنا 2 على X 2 على X كله في ال DX يبقى يساوي 9 + +944 +01:51:04,110 --> 01:51:09,410 +على 2 في تكامل هذا ال X تطلع فوق مع ال X سالب واحد + +945 +01:51:09,410 --> 01:51:16,510 +مع السلامة بظل تكامل لإن ال X في ال DX بنفس + +946 +01:51:16,510 --> 01:51:20,190 +الطريقة اللي اتبعناها فوق وهذا مثال موجود معاكم في + +947 +01:51:20,190 --> 01:51:28,200 +calculus B يبقى النتيجة 9 على 2 في X لإن X ناقص X + +948 +01:51:28,200 --> 01:51:40,850 +يعني تسعة على اتنين X لإن X ناقص 9 على 2 في X طيب + +949 +01:51:40,850 --> 01:51:47,830 +جبنا U1 و U2 إذا بقدر أجيب شكل ال Y of X يبقى شكل + +950 +01:51:47,830 --> 01:51:53,590 +ال Y of X بده يساوي U1 هي ال U1 مضروبة في الحل + +951 +01:51:53,590 --> 01:52:00,940 +الأول الحل الأول هو X أوس سالب 1 يبقى هنا وراها تهيأ + +952 +01:52:00,940 --> 01:52:07,840 +هي اللي هو ناقص تلاتة على اتنين X تكيب لإن ال X + +953 +01:52:07,840 --> 01:52:16,500 +زائد نص X تكيب كله هذا في ال X أوس ناقص واحد زائد + +954 +01:52:16,500 --> 01:52:23,880 +U2 اللي هو تسعة على اتنين X لإن ال X ناقص تسعة على + +955 +01:52:23,880 --> 01:52:26,980 +اتنين في جداش في ال X + +956 +01:52:33,020 --> 01:52:40,800 +يبقى النتيجة دغري بعد ما جيبنا U1 و U2 يبقى + +957 +01:52:40,800 --> 01:52:48,280 +النتيجة بتطلع يا ست في الآخر اللي هي تساوي تلاتة X + +958 +01:52:48,280 --> 01:52:57,560 +تربيع لن ال X ناقص أربعة X تربيع يبقى بناء ان + +959 +01:52:57,560 --> 01:53:02,400 +عليها بقدر اجيب ال general solution يبقى بقى اللي + +960 +01:53:02,400 --> 01:53:11,380 +بقوله ال general solution يبقى + +961 +01:53:11,380 --> 01:53:24,100 +the general solution of the differential equation + +962 +01:53:24,100 --> 01:53:33,690 +1SY تساوي YC زائد capital Y of X يبقى هذا بدي + +963 +01:53:33,690 --> 01:53:40,930 +أقولك ان Y تساوي YC هيها يبقى C واحد X أوس ناقص واحد + +964 +01:53:40,930 --> 01:53:46,950 +C اتنين X زائد capital Y of X اللي طلع اللي هو + +965 +01:53:46,950 --> 01:53:59,470 +زائد تلاتة X تربيع لن ال X ناقص 4X تربيع شوفي لي + +966 +01:53:59,470 --> 01:54:04,250 +هي هذه النتيجة اللي طلعناها في part A نفسها يبقى + +967 +01:54:04,250 --> 01:54:09,130 +سواء كان ب directly مباشرة او بالتحويل ال + +968 +01:54:09,130 --> 01:54:12,170 +undetermined \ No newline at end of file diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/Bx_N_tiknzs_raw.json 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"temperature": 1.0}, {"id": 13, "seek": 30041, "start": 275.35, "end": 300.41, "text": "الأُس هذا يا بنات اللي هو اري ممكن يكون integer سالب او موجب و ممكن يكون zero و ممكن يكون كسري سالب او موجب كذلك يعني any real number تمام الان بدنا نجيب main yw prime يبقى r في مين في r ناقص واحد في x أس r ناقص اتنين", "tokens": [6027, 10721, 10859, 3794, 23758, 35186, 4724, 8315, 2655, 13672, 1829, 31439, 1975, 16572, 3714, 43020, 7251, 30544, 24922, 8608, 6027, 3555, 1975, 2407, 3714, 29245, 3555, 4032, 3714, 43020, 7251, 30544, 4018, 4032, 3714, 43020, 7251, 30544, 9122, 3794, 16572, 8608, 6027, 3555, 1975, 2407, 3714, 29245, 3555, 9122, 8848, 23275, 37495, 22653, 604, 957, 1230, 6055, 15042, 2304, 2423, 7649, 47525, 8315, 8717, 7435, 1829, 3555, 2135, 288, 86, 5835, 7251, 3555, 4587, 7578, 367, 8978, 3714, 9957, 8978, 367, 8717, 995, 4587, 9381, 36764, 24401, 8978, 2031, 5551, 3794, 367, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957], "avg_logprob": -0.27512255924589496, "compression_ratio": 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489.05, "word": " الحالات", "probability": 0.9728190104166666}, {"start": 489.05, "end": 489.65, "word": " الثلاث", "probability": 0.9359375}, {"start": 489.65, "end": 489.83, "word": " اللي", "probability": 0.6185302734375}, {"start": 489.83, "end": 490.31, "word": " هذول", "probability": 0.5948079427083334}, {"start": 490.31, "end": 490.71, "word": " اللي", "probability": 0.947998046875}, {"start": 490.71, "end": 491.09, "word": " عندنا", "probability": 0.779052734375}, {"start": 491.09, "end": 492.07, "word": " يبقى", "probability": 0.9500732421875}, {"start": 492.07, "end": 492.45, "word": " هذه", "probability": 0.69384765625}, {"start": 492.45, "end": 492.83, "word": " بدنا", "probability": 0.58843994140625}, {"start": 492.83, "end": 493.39, "word": " نسميها", "probability": 0.9874267578125}, {"start": 493.39, "end": 494.01, "word": " بنات", "probability": 0.7555338541666666}, {"start": 494.01, "end": 494.61, "word": " سميها", "probability": 0.78375244140625}, {"start": 494.61, 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solutions وبالتالي شكل الحل بيصير على الشكل اللي قدامنا هذا c1 y1 زائد c2 y2 ويكون خلصة من المثلة هذه", "tokens": [5016, 6027, 9957, 5296, 19528, 3615, 18513, 37977, 13672, 1829, 12174, 1211, 8315, 11296, 11778, 1829, 45164, 23032, 1211, 3615, 14407, 5296, 28814, 2655, 1863, 9957, 366, 43586, 6695, 7251, 3555, 7435, 1829, 8032, 3215, 12610, 4724, 1829, 30544, 14407, 5296, 15042, 9957, 8088, 992, 295, 6547, 46599, 6027, 2655, 6027, 1829, 13412, 28820, 21542, 1211, 4724, 1829, 9381, 13546, 15844, 25124, 28820, 13672, 1829, 12174, 3215, 10943, 8315, 23758, 269, 16, 288, 16, 30767, 16373, 3215, 269, 17, 288, 17, 4032, 1829, 30544, 16490, 1211, 9381, 3660, 9154, 9673, 12984, 37977, 29538], "avg_logprob": -0.3090092939265231, "compression_ratio": 1.4955752212389382, "no_speech_prob": 0.0, "words": [{"start": 575.86, "end": 576.62, "word": "حالين", "probability": 0.51708984375}, {"start": 576.62, "end": 577.48, "word": " للمعادلة", "probability": 0.9060546875}, {"start": 577.48, "end": 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"text": "يبقى then y prime r x أس r ناقص واحد y w prime يسوى r في r ناقص واحد في x أس r ناقص اتنين", "tokens": [1829, 3555, 4587, 7578, 550, 288, 5835, 367, 2031, 5551, 3794, 367, 8717, 995, 4587, 9381, 36764, 24401, 288, 261, 5835, 7251, 3794, 2407, 7578, 367, 8978, 367, 8717, 995, 4587, 9381, 36764, 24401, 8978, 2031, 5551, 3794, 367, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957], "avg_logprob": -0.29785155070324737, "compression_ratio": 1.3978494623655915, "no_speech_prob": 0.0, "words": [{"start": 1990.8899999999999, "end": 1991.77, "word": "يبقى", "probability": 0.7208251953125}, {"start": 1991.77, "end": 1992.11, "word": " then", "probability": 0.063720703125}, {"start": 1992.11, "end": 1993.33, "word": " y", "probability": 0.58349609375}, {"start": 1993.33, "end": 1993.95, "word": " prime", "probability": 0.420654296875}, {"start": 1993.95, "end": 1994.43, "word": " r", "probability": 0.2393798828125}, {"start": 1994.43, "end": 1994.85, "word": " x", "probability": 0.72314453125}, {"start": 1994.85, "end": 1995.17, "word": " أس", "probability": 0.4105224609375}, {"start": 1995.17, "end": 1995.43, "word": " r", "probability": 0.83447265625}, {"start": 1995.43, "end": 1995.91, "word": " ناقص", "probability": 0.95654296875}, {"start": 1995.91, "end": 1996.43, "word": " واحد", "probability": 0.970458984375}, {"start": 1996.43, "end": 1997.39, "word": " y", "probability": 0.381591796875}, {"start": 1997.39, "end": 1997.89, "word": " w", "probability": 0.434814453125}, {"start": 1997.89, "end": 1998.33, "word": " prime", "probability": 0.818359375}, {"start": 1998.33, "end": 1998.99, "word": " يسوى", "probability": 0.7633056640625}, {"start": 1998.99, "end": 1999.33, "word": " r", "probability": 0.69189453125}, {"start": 1999.33, "end": 1999.59, "word": " في", "probability": 0.87841796875}, {"start": 1999.59, "end": 1999.91, "word": " r", "probability": 0.9501953125}, {"start": 1999.91, "end": 2000.45, "word": " ناقص", "probability": 0.9925537109375}, {"start": 2000.45, "end": 2000.87, "word": " واحد", "probability": 0.950439453125}, {"start": 2000.87, "end": 2001.01, "word": " في", "probability": 0.96630859375}, {"start": 2001.01, "end": 2001.23, "word": " x", "probability": 0.96337890625}, {"start": 2001.23, "end": 2001.53, "word": " أس", "probability": 0.982177734375}, {"start": 2001.53, "end": 2001.85, "word": " r", "probability": 0.93115234375}, {"start": 2001.85, "end": 2002.57, "word": " ناقص", "probability": 0.98974609375}, {"start": 2002.57, "end": 2003.07, "word": " اتنين", "probability": 0.87060546875}], "temperature": 1.0}, {"id": 84, "seek": 202292, "start": 2003.92, "end": 2022.92, "text": "بناخد المعلومات هذه ونعوضها في المعادلة رقم واحد يبقى substitute in equation one we get نحصل على ما يأتي هاي ال X تربية اللي برا", "tokens": [3555, 1863, 47283, 3215, 9673, 30241, 20498, 9307, 29538, 4032, 1863, 3615, 2407, 11242, 11296, 8978, 9673, 3615, 18513, 37977, 12602, 4587, 2304, 36764, 24401, 7251, 3555, 4587, 7578, 1422, 372, 6559, 294, 5367, 472, 321, 483, 8717, 5016, 36520, 15844, 19446, 7251, 10721, 31371, 8032, 47302, 2423, 1783, 6055, 25513, 10632, 13672, 1829, 4724, 23557], "avg_logprob": -0.38267544277927334, "compression_ratio": 1.326797385620915, "no_speech_prob": 0.0, "words": [{"start": 2003.92, "end": 2004.54, "word": "بناخد", "probability": 0.6005859375}, {"start": 2004.54, "end": 2005.22, "word": " المعلومات", "probability": 0.9215087890625}, {"start": 2005.22, "end": 2005.4, "word": " هذه", "probability": 0.407958984375}, {"start": 2005.4, "end": 2006.4, "word": " ونعوضها", "probability": 0.6577555338541666}, {"start": 2006.4, "end": 2006.68, "word": " في", "probability": 0.5263671875}, {"start": 2006.68, "end": 2007.88, "word": " المعادلة", "probability": 0.8646240234375}, {"start": 2007.88, "end": 2008.46, "word": " رقم", "probability": 0.8868815104166666}, {"start": 2008.46, "end": 2008.92, "word": " واحد", "probability": 0.776123046875}, {"start": 2008.92, "end": 2010.14, "word": " يبقى", "probability": 0.9422607421875}, {"start": 2010.14, "end": 2012.52, "word": " substitute", "probability": 0.4956868489583333}, {"start": 2012.52, "end": 2014.52, "word": " in", "probability": 0.81787109375}, {"start": 2014.52, "end": 2015.88, "word": " equation", "probability": 0.97314453125}, {"start": 2015.88, "end": 2016.86, "word": " one", "probability": 0.7578125}, {"start": 2016.86, "end": 2017.8, "word": " we", "probability": 0.7548828125}, {"start": 2017.8, "end": 2018.48, "word": " get", "probability": 0.791015625}, {"start": 2018.48, "end": 2019.64, "word": " نحصل", "probability": 0.8064778645833334}, {"start": 2019.64, "end": 2019.84, "word": " على", "probability": 0.88720703125}, {"start": 2019.84, "end": 2020.08, "word": " ما", "probability": 0.7919921875}, {"start": 2020.08, "end": 2020.58, "word": " يأتي", "probability": 0.6964518229166666}, {"start": 2020.58, "end": 2021.58, "word": " هاي", "probability": 0.5809326171875}, {"start": 2021.58, "end": 2021.7, "word": " ال", "probability": 0.78466796875}, {"start": 2021.7, "end": 2021.9, "word": " X", "probability": 0.170654296875}, {"start": 2021.9, "end": 2022.3, "word": " تربية", "probability": 0.4684651692708333}, {"start": 2022.3, "end": 2022.54, "word": " اللي", "probability": 0.932861328125}, {"start": 2022.54, "end": 2022.92, "word": " برا", "probability": 0.93994140625}], "temperature": 1.0}, {"id": 85, "seek": 204604, "start": 2024.02, "end": 2046.04, "text": "YW'RR-1XSR-2-4XY'RXSR-1 4XSR0", "tokens": [56, 54, 6, 49, 49, 12, 16, 55, 50, 49, 12, 17, 12, 19, 55, 56, 6, 49, 55, 50, 49, 12, 16, 1017, 55, 50, 49, 15], "avg_logprob": -0.4113685262614283, "compression_ratio": 0.8787878787878788, "no_speech_prob": 0.0, "words": [{"start": 2024.02, "end": 2024.84, "word": "YW", "probability": 0.5140380859375}, {"start": 2024.84, "end": 2026.82, "word": "'RR", "probability": 0.303466796875}, {"start": 2026.82, "end": 2030.04, "word": "-1XSR", "probability": 0.6250732421875}, {"start": 2030.04, "end": 2031.84, "word": "-2", "probability": 0.949951171875}, {"start": 2031.84, "end": 2035.88, "word": "-4XY", "probability": 0.7406005859375}, {"start": 2035.88, "end": 2039.86, "word": "'RXSR", "probability": 0.80478515625}, {"start": 2039.86, "end": 2041.66, "word": "-1", "probability": 0.985595703125}, {"start": 2041.66, "end": 2046.04, "word": " 4XSR0", "probability": 0.5745101928710937}], "temperature": 1.0}, {"id": 86, "seek": 207152, "start": 2048.98, "end": 2071.52, "text": "مضاب اللي برا الجوس جوا الجوس يبقى R في R ناقص واحد في X أُس R ناقص اتنين بيصير مع الاتنين اللي برا بيصير X أُس R ناقص أربعة R X أُس R زائد أربعة X أُس R تساوي Zero", "tokens": [2304, 11242, 16758, 13672, 1829, 4724, 23557, 25724, 41779, 10874, 14407, 25724, 41779, 7251, 3555, 4587, 7578, 497, 8978, 497, 8717, 995, 4587, 9381, 36764, 24401, 8978, 1783, 5551, 10859, 3794, 497, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4724, 1829, 9381, 13546, 20449, 2423, 9307, 1863, 9957, 13672, 1829, 4724, 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"probability": 0.638671875}, {"start": 2052.74, "end": 2053.4, "word": " في", "probability": 0.611328125}, {"start": 2053.4, "end": 2053.72, "word": " R", "probability": 0.88916015625}, {"start": 2053.72, "end": 2054.24, "word": " ناقص", "probability": 0.9168701171875}, {"start": 2054.24, "end": 2054.76, "word": " واحد", "probability": 0.956298828125}, {"start": 2054.76, "end": 2055.42, "word": " في", "probability": 0.8759765625}, {"start": 2055.42, "end": 2055.78, "word": " X", "probability": 0.89599609375}, {"start": 2055.78, "end": 2056.1, "word": " أُس", "probability": 0.60546875}, {"start": 2056.1, "end": 2056.36, "word": " R", "probability": 0.94580078125}, {"start": 2056.36, "end": 2057.06, "word": " ناقص", "probability": 0.9918212890625}, {"start": 2057.06, "end": 2057.72, "word": " اتنين", "probability": 0.9591064453125}, {"start": 2057.72, "end": 2058.82, "word": " بيصير", "probability": 0.8323974609375}, {"start": 2058.82, "end": 2059.06, "word": " مع", "probability": 0.880859375}, {"start": 2059.06, "end": 2059.7, "word": " الاتنين", "probability": 0.8734130859375}, {"start": 2059.7, "end": 2059.92, "word": " اللي", "probability": 0.9892578125}, {"start": 2059.92, "end": 2060.14, "word": " برا", "probability": 0.9931640625}, {"start": 2060.14, "end": 2060.52, "word": " بيصير", "probability": 0.938232421875}, {"start": 2060.52, "end": 2060.74, "word": " X", "probability": 0.96142578125}, {"start": 2060.74, "end": 2061.06, "word": " أُس", "probability": 0.9228515625}, {"start": 2061.06, "end": 2061.44, "word": " R", "probability": 0.986328125}, {"start": 2061.44, "end": 2062.82, "word": " ناقص", "probability": 0.9669189453125}, {"start": 2062.82, "end": 2063.48, "word": " أربعة", "probability": 0.7677408854166666}, {"start": 2063.48, "end": 2064.1, "word": " R", "probability": 0.72607421875}, {"start": 2064.1, "end": 2065.22, "word": " X", "probability": 0.94677734375}, {"start": 2065.22, "end": 2065.82, "word": " أُس", "probability": 0.92919921875}, 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value", "probability": 0.990234375}, {"start": 3509.02, "end": 3509.22, "word": " ل", "probability": 0.77392578125}, {"start": 3509.22, "end": 3509.7, "word": " x", "probability": 0.1375732421875}, {"start": 3509.7, "end": 3510.68, "word": " ناقص", "probability": 0.8050537109375}, {"start": 3510.68, "end": 3511.34, "word": " اتنين", "probability": 0.9031982421875}, {"start": 3511.34, "end": 3513.32, "word": " زائد", "probability": 0.6770833333333334}, {"start": 3513.32, "end": 3514.62, "word": " c2", "probability": 0.4495849609375}, {"start": 3514.62, "end": 3515.84, "word": " sin", "probability": 0.5234375}, {"start": 3515.84, "end": 3518.12, "word": " a2", "probability": 0.878662109375}, {"start": 3518.12, "end": 3518.76, "word": " ل", "probability": 0.3271484375}, {"start": 3518.76, "end": 3519.9, "word": " absolute", "probability": 0.1151123046875}, {"start": 3519.9, "end": 3521.1, "word": " value", "probability": 0.99169921875}, {"start": 3521.1, "end": 3521.6, "word": " ل", 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{"start": 3564.41, "end": 3565.27, "word": " اليمين", "probability": 0.8767903645833334}, {"start": 3565.27, "end": 3566.01, "word": " zero", "probability": 0.24853515625}, {"start": 3566.01, "end": 3567.51, "word": " يعنياش", "probability": 0.7203776041666666}, {"start": 3567.51, "end": 3568.37, "word": " homogeneous", "probability": 0.83154296875}, {"start": 3568.37, "end": 3569.27, "word": " differential", "probability": 0.9345703125}, {"start": 3569.27, "end": 3570.11, "word": " equation", "probability": 0.9775390625}, {"start": 3570.11, "end": 3571.09, "word": " طيب", "probability": 0.91357421875}, {"start": 3571.09, "end": 3571.39, "word": " لو", "probability": 0.978515625}, {"start": 3571.39, "end": 3572.05, "word": " بطلت", "probability": 0.92919921875}, {"start": 3572.05, "end": 3572.41, "word": " الصير", "probability": 0.5753173828125}, {"start": 3572.41, "end": 3573.05, "word": " homogeneous", "probability": 0.54296875}, {"start": 3573.05, "end": 3573.49, "word": " 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a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/MCBJ_x7Y0Bg.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/MCBJ_x7Y0Bg.srt new file mode 100644 index 0000000000000000000000000000000000000000..e4f63d2fddf59d7f6ee1d2ecf6e7a3be175fa139 --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/MCBJ_x7Y0Bg.srt @@ -0,0 +1,2752 @@ +1 +00:00:09,840 --> 00:00:16,100 +بسم الله الرحمن الرحيم المرة الماضية كنا نتكلم في + +2 +00:00:16,100 --> 00:00:21,820 +المسائل العامة على الشابتر اثنين وكنا في هذه + +3 +00:00:21,820 --> 00:00:26,100 +المسائل العامة حاطط لها ثلاث نقاط المرة الفاتة + +4 +00:00:26,100 --> 00:00:31,120 +اتعرضنا للنقطة الأولى ركات equation والآن بقى + +5 +00:00:31,120 --> 00:00:35,600 +لدينا نقطتان النقطة الأولى الـ equation with the + +6 +00:00:35,600 --> 00:00:40,440 +dependent variable y missing يعني معادلة فيها + +7 +00:00:40,440 --> 00:00:44,960 +الرمز واي مفقود missing مفقود مش موجود في + +8 +00:00:44,960 --> 00:00:49,320 +المعادلة والنقطة الثالثة الـ equation with the + +9 +00:00:49,320 --> 00:00:54,590 +independent variable t missing طبعًا هناخد الأولى + +10 +00:00:54,590 --> 00:00:59,690 +اللي هي equations with a dependent variable y + +11 +00:00:59,690 --> 00:01:04,430 +missing يعني معادلات تفاضلية فيها اللي هو المجهول + +12 +00:01:04,430 --> 00:01:10,050 +y مش موجود في المعادلة، وبدأنا نشوف كيف هنحل هذه + +13 +00:01:10,050 --> 00:01:16,210 +المعادلة. النوع هذا يا بنات من المعادلات بيصير عندنا + +14 +00:01:16,210 --> 00:01:22,110 +معادلة من رتبتها الثانية، وبننزل رتبتها إلى الرتبة + +15 +00:01:22,110 --> 00:01:26,730 +الأولى، وبنحلها زي ما كنا نحل في الشرط الرمضاني يعني + +16 +00:01:26,730 --> 00:01:30,970 +ممكن تطلع المعادلة بعد تنزيل رتبتها، يمكن linear + +17 +00:01:30,970 --> 00:01:35,610 +يمكن Bernoulli، يمكن exact، يمكن exact بس بدأ + +18 +00:01:35,610 --> 00:01:40,190 +integrating factor، يمكن separable، يمكن homogeneous + +19 +00:01:40,190 --> 00:01:44,370 +الآخرى يبقى لبعد ما نحولها من الرتبة الثانية إلى + +20 +00:01:44,370 --> 00:01:48,390 +الرتبة الأولى. أي معادلة من المعادلات السابقة بنقدر + +21 +00:01:48,390 --> 00:01:53,730 +نحلها ونخلص منها الشغلة، يبقى these equations are + +22 +00:01:53,730 --> 00:01:58,750 +in the form الشكل العام للمعادلات اللي فيها y + +23 +00:01:58,750 --> 00:02:03,810 +variable أو الـ variable y missing مفقود مش موجود + +24 +00:02:03,810 --> 00:02:10,670 +يعني الشكل y'' يساوي f of t، وy، y مش موجودة لكن y' + +25 +00:02:11,030 --> 00:02:16,740 +موجودة، وy'' موجودة، يبقى هذه المعادلة فيها y مفقودة + +26 +00:02:16,740 --> 00:02:22,020 +مش موجودة في المعادلة. مشان نحل المعادلة هذه بدنا + +27 +00:02:22,020 --> 00:02:27,200 +نعمل تعويض معينة. شو التعويض هذه؟ بدأ أحط أن v + +28 +00:02:27,200 --> 00:02:32,000 +بدها تساوي y prime يعني المشتق الأولى لها رمز + +29 +00:02:32,000 --> 00:02:36,760 +جديد وليكن v، وبدأ نشتقها كمان مرة فبيصير v prime + +30 +00:02:36,760 --> 00:02:41,130 +هي y double prime. بتاخد المعلومتين اللي اثنين هدول + +31 +00:02:41,130 --> 00:02:46,210 +و أعوض في المعادلة اللي عندها default، يبقى y و prime + +32 +00:02:46,210 --> 00:02:50,930 +بدها تصير مين؟ بدها تصير v prime. الـ y prime بدها + +33 +00:02:50,930 --> 00:02:54,570 +تصير v، يبقى المعادلة رقم واحد صارت على الشكل اللي + +34 +00:02:54,570 --> 00:02:58,950 +عندنا هذا، يبقى مش شايفين إلا مشتقة واحدة في المثل + +35 +00:02:58,950 --> 00:03:03,250 +بس، ايش صارت؟ first order differential equation + +36 +00:03:03,250 --> 00:03:07,400 +يمكن linear، يمكن exact، يمكن هوموجينيوس يمكن + +37 +00:03:07,400 --> 00:03:10,960 +سيفارابول، يمكن تقول هوموجينيوس، يمكن تقول الـ exact + +38 +00:03:10,960 --> 00:03:15,120 +يمكن تقول الـ linear، الله أعلم مين ما كانت تكون + +39 +00:03:15,120 --> 00:03:21,680 +بنروح نحلها زي ما كنا بنحل في الشابتر + +40 +00:03:21,680 --> 00:03:24,980 +اللي بين إيدينا اللي احنا في المسائل العامة عليه + +41 +00:03:26,180 --> 00:03:28,780 +بنبدأ نعطي أمثلة، بقول solve the differential + +42 +00:03:28,780 --> 00:03:32,520 +equation هو بقول ليش أن Y missing ولا T missing + +43 +00:03:32,520 --> 00:03:34,100 +أنا بدي ألاحظها + +44 +00:03:34,100 --> 00:03:41,900 +ههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههه + +45 +00:03:51,300 --> 00:03:55,320 +ثانية واحنا موضوعنا هو الرتبة الأولى، إذا بدي + +46 +00:03:55,320 --> 00:03:59,640 +ننزل الرتبة من الرتبة الثانية إلى الرتبة الأولى بس + +47 +00:03:59,640 --> 00:04:03,700 +بعدي بطلع في المعادلة اللي عندنا هذه، هل المعادلة + +48 +00:04:03,700 --> 00:04:09,060 +هذه فيها Y؟ ما عنديش Y، كل اللي عندي Y prime وY + +49 +00:04:09,060 --> 00:04:13,900 +double prime، يبقى هذه equation with Y missing، يبقى + +50 +00:04:13,900 --> 00:04:26,610 +solution، يبقى equation one is an equation with y + +51 +00:04:26,610 --> 00:04:34,270 +missing، يبقى هذه فيها y مفقودة، بناء عليه هروح أفرض + +52 +00:04:34,270 --> 00:04:44,470 +أن اللي هو v تساوي من y prime، يبقى put v تساوي Y' + +53 +00:04:44,990 --> 00:04:53,050 +هذا بيعطينا أن V' يساوي Y double prime، يبقى المعادلة هذه تصير + +54 +00:04:53,050 --> 00:05:00,670 +T تربيع V' زائد اثنين T في الـ V بدها تساوي كده؟ بدها + +55 +00:05:00,670 --> 00:05:05,070 +يساوي واحد. نجلة الواحد على الشجاعة الثانية صارت هداش + +56 +00:05:05,070 --> 00:05:10,990 +First Order والسؤال هل هي Linear ولا غير Linear؟ + +57 +00:05:11,540 --> 00:05:20,980 +برضه linear، يبقى هذه بقدر لو جسمت على T أقول هذه V + +58 +00:05:20,980 --> 00:05:28,920 +prime زائد اثنين على T كل هذا الكلام في V بدها + +59 +00:05:28,920 --> 00:05:34,660 +يساوي واحد على مين؟ على T تربيع، اللي هي linear + +60 +00:05:34,660 --> 00:05:37,860 +first + +61 +00:05:37,860 --> 00:05:39,840 +order + +62 +00:05:47,160 --> 00:05:49,400 +معادلة المعادلة + +63 +00:05:53,770 --> 00:05:59,930 +يبقى بتروح أخد من عامل التكامل، فبدأ أخد لـ mu of T + +64 +00:05:59,930 --> 00:06:11,610 +E أس تكامل من اثنين على T dt، يبقى E أس اثنين لـ T + +65 +00:06:11,610 --> 00:06:16,170 +ولا داعي للـ absolute value لأن T greater than zero + +66 +00:06:17,270 --> 00:06:23,050 +يبقى هذه بدأت تساوي T تربيع. الآن بنجي على المعادلة + +67 +00:06:23,050 --> 00:06:28,230 +هذه سميه للمعادلة هذه رقم اثنين، يبقى بتقولي لي + +68 +00:06:28,230 --> 00:06:33,290 +multiply equation + +69 +00:06:33,290 --> 00:06:42,290 +اثنين by T تربيع we get نحصل على يبقى ايش بيصير T + +70 +00:06:42,290 --> 00:06:50,910 +تربيع في الـ V prime زائد اثنين T في الـ V يساوي واحد + +71 +00:06:50,910 --> 00:06:58,210 +صحيح أو ممكن نقول T تربيع في V كل Prime يساوي واحد + +72 +00:06:58,210 --> 00:07:05,450 +صحيح. لو جينا كملناها يا بنات T تربيع في V يساوي T + +73 +00:07:05,450 --> 00:07:13,430 +زائد constant C. طب أنا بديش هذه، بدي V إذا بجسم كله + +74 +00:07:13,430 --> 00:07:20,190 +على مين؟ على T تربيع يبقى صارت V عندي اللي هي مين + +75 +00:07:20,190 --> 00:07:30,050 +واحد على T زائد C على T تربيع. هذا بدي أعطيلك مية T + +76 +00:07:30,050 --> 00:07:32,870 +V هذه أنا فرضتها هي مين + +77 +00:07:38,990 --> 00:07:48,290 +يبقى هذا يجب أن أعطيك أن V تساوي DY على DT يجب أن + +78 +00:07:48,290 --> 00:07:56,080 +تساوي من 1 على T زائد C على T ترابيع أو إن شئتوا + +79 +00:07:56,080 --> 00:08:04,680 +نفكها، ندى الـ dy بده يساوي اللي هو من واحد على T + +80 +00:08:04,680 --> 00:08:11,990 +زائد C على T تربيع كله بالنسبة لـ مان لدى T. بدنا + +81 +00:08:11,990 --> 00:08:23,370 +نكامل، يبقى Y تساوي Ln T ناقص C على Z كنسبة جديد + +82 +00:08:23,370 --> 00:08:31,710 +وليكن C1 يبقى هذا الـ solution تبع المعادلة الأصلية + +83 +00:08:31,710 --> 00:08:38,130 +يبقى اضطرنا للتكامل كم مرة؟ مرتين حتى نصل إلى + +84 +00:08:38,130 --> 00:08:42,580 +الإجابة. يبقى هذا النوع الأول equations with y + +85 +00:08:42,580 --> 00:08:46,760 +missing بدنا نيجي للنوع الثاني equations with c + +86 +00:08:46,760 --> 00:08:55,360 +missing، يبقى بدنا نيجي الآن للـ equations with + +87 +00:08:55,360 --> 00:09:06,220 +the independent variable + +88 +00:09:09,310 --> 00:09:13,690 +T missing يبقى + +89 +00:09:13,690 --> 00:09:17,790 +T هي المفقودة + +90 +00:09:17,790 --> 00:09:22,310 +These equations + +91 +00:09:22,310 --> 00:09:36,150 +هذه المعادلات are in the form are in the form Y double prime + +92 +00:09:36,150 --> 00:09:51,330 +Y double prime بدها تساوي f of y و y prime for + +93 +00:09:51,330 --> 00:10:01,530 +these equations بهذه المعادلات for these equations + +94 +00:10:01,530 --> 00:10:17,160 +we think of y وthink of Y as independent + +95 +00:10:17,160 --> 00:10:20,260 +variable + +96 +00:10:38,090 --> 00:10:42,910 +بنجي الآن للنوع الثاني الـ equations with the + +97 +00:10:42,910 --> 00:10:46,710 +independent variable t missing يبقى في الناحية + +98 +00:10:46,710 --> 00:10:50,230 +الأولى كان المتغير التابع اللي هو y missing في + +99 +00:10:50,230 --> 00:10:53,050 +الناحية اللي عندنا هذه بيكون الـ independent + +100 +00:10:53,050 --> 00:10:58,490 +variable المتغير المستقل هو اللي مفقود وغير موجود + +101 +00:10:58,490 --> 00:11:03,420 +في المعادلة. يبقى المعادلات من هذا النوع بتبقى على + +102 +00:11:03,420 --> 00:11:08,440 +الشكل التالي Y double prime يساوي f of y و y prime + +103 +00:11:08,440 --> 00:11:12,940 +اطلع هنا شو كان شكلها كان Y double prime أصلاً f of + +104 +00:11:12,940 --> 00:11:18,780 +t و y prime t موجودة و y مفقودة، هنا الحمد لله y + +105 +00:11:18,780 --> 00:11:23,750 +موجودة، واللي مفقودة هي main هي T، T مش ظاهرة في + +106 +00:11:23,750 --> 00:11:28,450 +المعادلة، يبقى شو بدنا نعمل في هذه الحالة؟ فبقى بقول + +107 +00:11:28,450 --> 00:11:34,850 +له لهذه المعادلة بروح بعتبر أن المتغير المستقل هو + +108 +00:11:34,850 --> 00:11:42,430 +Y وليس T تمام؟ يبقى كأنه بعتبر ها we think of Y + +109 +00:11:42,430 --> 00:11:46,730 +بروح نعتقد أن Y هو الـ independent variable + +110 +00:11:46,730 --> 00:11:52,120 +وبالتالي بدأ يصير الشغل على الشكل التالي. باجي بقوله + +111 +00:11:52,120 --> 00:12:01,560 +put v تساوي y prime اللي هي main اللي هي dy على dt + +112 +00:12:01,560 --> 00:12:09,920 +طب احنا بدنا v prime كويس، يبقى باجي بقوله v prime + +113 +00:12:09,920 --> 00:12:17,570 +تساوي بقدرش أقول dy اللي هو الـ .. الـ .. اللي هو y + +114 +00:12:17,570 --> 00:12:24,650 +double prime دغري أنا بدي أدخل y كمتغير مستقل يبقى + +115 +00:12:24,650 --> 00:12:30,810 +هذا بيصير dy أ .. أ .. أ .. بدي أجيب المشتقة هذه + +116 +00:12:30,810 --> 00:12:38,980 +اللي هو dv اللي بدها تساوي dv على dt الآن أنا + +117 +00:12:38,980 --> 00:12:43,820 +بعتقد أن مش T هو المتغير المستقل، بدي أعتقد أن Y + +118 +00:12:43,820 --> 00:12:51,420 +هو المتغير المستقل إذا بقدر أقول هذه DV على DY في + +119 +00:12:51,420 --> 00:12:58,970 +DY على DT عملنا حاجة؟ ما عملناش شيء. طب الـ DY على DT + +120 +00:12:58,970 --> 00:13:05,630 +هذه هي من V يبقى بقدر أشيل هذه وأكتب بدالها V + +121 +00:13:05,630 --> 00:13:10,190 +يبقى صارت V في DV على DY + +122 +00:13:13,280 --> 00:13:19,720 +بناء عليها كأنك مفقودة مش مبينة، يبقى لو أخدت + +123 +00:13:19,720 --> 00:13:24,380 +المعلومات هذه وجيت عوّض في المعادلة اللي فوق، + +124 +00:13:24,380 --> 00:13:30,840 +بيصير عندنا V prime اللي هي عبارة عن Y double prime صح + +125 +00:13:30,840 --> 00:13:39,580 +ولا لأ؟ يبقى V' بيجي بدل V في DV على DY يبقى بيصير + +126 +00:13:39,580 --> 00:13:48,700 +المعادلة V في DV على DY بيساوي F of Y وV + +127 +00:13:54,480 --> 00:14:06,200 +يبقى هذه ايش صارت؟ first order + +128 +00:14:06,200 --> 00:14:17,860 +differential equation that can be solved + +129 +00:14:27,580 --> 00:14:35,790 +زي ما كنت بحل في بداية هذا الشابتر. يبجي هذه أمانات + +130 +00:14:35,790 --> 00:14:40,690 +T missing بتفرج شوية عن من عن الـ Y missing الـ Y + +131 +00:14:40,690 --> 00:14:46,870 +missing أسهل في الحساب من من من الـ T missing طيب + +132 +00:14:46,870 --> 00:14:52,890 +نعطيكم مثال ونشوف كيف نشتغل الشغلة هذه يبجي + +133 +00:14:52,890 --> 00:14:53,450 +example + +134 +00:15:06,550 --> 00:15:18,310 +Solve the differential equation Y double prime زائد Y + +135 +00:15:18,310 --> 00:15:25,950 +prime لكل تربيع يساوي اثنين E أس ناقص Y واعتبر + +136 +00:15:25,950 --> 00:15:32,420 +هذه المعادلة رقم واحد. السؤال هو هل شايفين في + +137 +00:15:32,420 --> 00:15:38,680 +المعادلة عندنا فيه T؟ يبقى equation with T missing + +138 +00:15:38,680 --> 00:15:44,340 +يبقى solution this + +139 +00:15:44,340 --> 00:15:57,280 +is an equation with T missing، يبقى T مفقودة لذلك + +140 +00:15:57,280 --> 00:16:09,360 +بتروح أقوله pot V تساوي الـ Y' يعني DY على DT هذا + +141 +00:16:09,360 --> 00:16:21,040 +بدها تعطينا أن DV أو الـ V' بدها تساوي أو الـ V هذه + +142 +00:16:21,040 --> 00:16:29,750 +بحط هنا DY بجيب لنا V' اللي هو DV على DT DV على DT لو + +143 +00:16:29,750 --> 00:16:39,210 +DV على DY في DY على DT يبقى V في DV على DY يعني + +144 +00:16:39,210 --> 00:16:44,750 +كأنه احنا بنشتق بالنسبة إلى Y، يبقى بنا نعتقد أن Y + +145 +00:16:44,750 --> 00:16:51,270 +هو المتغير المستقل وليس المتغير التابع، بنا نمسك + +146 +00:16:51,270 --> 00:16:54,950 +المعلومات هذه ونروح نعوض في المعادلة 1 اللي فوق + +147 +00:16:54,950 --> 00:17:01,160 +يبقى الآن V Prime هذه عبارة عن مين؟ الـ Y double + +148 +00:17:01,160 --> 00:17:06,740 +prime يبقى هذه كأنها Y double prime بالضبط يبقى + +149 +00:17:06,740 --> 00:17:12,220 +أنا بدي أشيل Y double prime وبدي أحط مكانها V في + +150 +00:17:12,220 --> 00:17:23,260 +dv على dy زائد Y prime هي V تربيع يساوي اثنين E + +151 +00:17:23,260 --> 00:17:29,970 +أس ناقص Y يبقى المعادلة هذه صارت first order + +152 +00:17:29,970 --> 00:17:34,170 +differential equation لكن مش مبينة لا linear ولا + +153 +00:17:34,170 --> 00:17:38,330 +exact ولا absurd الشو لكن احنا لو روحنا رتبناها + +154 +00:17:38,330 --> 00:17:43,490 +هيك وشوفنا ايش كيف ممكن نكتبها، يبقى هذه المعادلة + +155 +00:17:43,490 --> 00:17:47,410 +بقدر أقول DV على DY + +156 +00:18:01,940 --> 00:18:13,140 +ممتاز، يبقى هذه معادلة Bernoulli equation + +157 +00:18:13,140 --> 00:18:19,160 +يبقى هذه معادلة Bernoulli equation، مدام هيك يبقى أول + +158 +00:18:19,160 --> 00:18:24,260 +شغلة بدها تخلص من مين؟ من الـ V اللي عندي، إذا بروح + +159 +00:18:24,260 --> 00:18:29,700 +بضرب كله في مين؟ في V، يبقى لو ضربت في V بيصير + +160 +00:18:29,700 --> 00:18:36,660 +المعادلة دي كما كانت، يبقى V في DV على DY زائد V + +161 +00:18:36,660 --> 00:18:45,380 +تربيع يساوي اثنين E أس ناقص Y. بعد هيك، بعدها أهالي + +162 +00:18:45,380 --> 00:18:51,580 +هذه كلها وبفرضها بماذا؟ بمتغير جديد، يبقى بقوله + +163 +00:18:51,580 --> 00:19:02,970 +put مثلًا z تساوي V تربيع. إذا بدنا دي زد على مين؟ + +164 +00:19:02,970 --> 00:19:09,030 +على دي واي لأن احنا بنفضل بالنسبة لمين؟ لواي يبقى + +165 +00:19:09,030 --> 00:19:19,330 +يساوي اثنين V في دي V على دي Y. إذا DV على DY هي + +166 +00:19:19,330 --> 00:19:26,950 +عبارة عن نصف DZ على DY، يبقى V في DV على DY هي عبارة + +167 +00:19:26,950 --> 00:19:39,870 +عن نصف في DZ على DY زائد Z يساوي 2 E ناقص Y أو لو + +168 +00:19:39,870 --> 00:19:46,970 +ضربنا كله في اثنين يبقى معنا هذا الكلام أن دي زد + +169 +00:19:46,970 --> 00:19:53,850 +على دي واي زائد اثنين Z يساوي أربعة E أس ناقص + +170 +00:19:53,850 --> 00:20:00,870 +واي. ايش صار شكل هذه المعادلة؟ linear يبقى هذه صارت + +171 +00:20:00,870 --> 00:20:05,510 +linear first order + +172 +00:20:13,120 --> 00:20:18,740 +بنحل المعادلة هادي زي ما كنا بنحل قبل ذلك، يبقى بدي + +173 +00:20:18,740 --> 00:20:21,460 +أخد لـ mu يا بنات + +174 +00:20:24,050 --> 00:20:31,250 +متغير المستقل هو Y يبقى الـ mu of Y يبقى E أس + +175 +00:20:31,250 --> 00:20:38,990 + +216 +00:25:55,550 --> 00:26:05,530 +الطرفين يبقى W أس نص على نص بده يساوي 4T زائد + +217 +00:26:05,530 --> 00:26:08,030 +ثابت وليكن C1 + +218 +00:26:11,420 --> 00:26:17,720 +طيب هذا معناه إيش؟ معناته أن اثنين الجذر التربيعي + +219 +00:26:17,720 --> 00:26:26,840 +إلى W لأربعة EY زائد ثابت C بده يساوي أربعة + +220 +00:26:26,840 --> 00:26:30,260 +T زائد ثابت C1 + +221 +00:26:34,960 --> 00:26:40,960 +بنقدر نجسم كله على الاثنين يبقى الجذر التربيعي + +222 +00:26:40,960 --> 00:26:47,580 +لأربعة EY زائد ثابت C يساوي نصف مين في + +223 +00:26:47,580 --> 00:26:55,580 +أربعة T زائد C1 بنقدر نربع الطرفين إذا لو ربعنا + +224 +00:26:55,580 --> 00:27:04,820 +الطرفين بصير 4EY زائد ثابت C بده يساوي ربع في + +225 +00:27:04,820 --> 00:27:15,090 +4T زائد C1 لكل تربيع ممكن ننقل C1 على الجهة الثانية + +226 +00:27:15,090 --> 00:27:26,110 +يبقى بصير 4EY بده يساوي الربع في مين في 4T زائد + +227 +00:27:26,110 --> 00:27:31,010 +C1 لكل تربيع ناقص ثابت C + +228 +00:27:35,420 --> 00:27:43,660 +يبقى هنا هذا الكلام بده يعطيك أن EY بده يساوي + +229 +00:27:43,660 --> 00:27:54,780 +واحد على ستة عشر في أربعة T زائد C1 لكل تربيع ناقص + +230 +00:27:57,490 --> 00:28:01,750 +هذا اللي جوا الـ C1 همّانات ولا C .. لأ لأ C1 همّان + +231 +00:28:01,750 --> 00:28:08,990 +يبقى ناقص الربع C بالشكل اللي عندنا هذا فلاص + +232 +00:28:08,990 --> 00:28:13,710 +يكفينا أخلي الحل زي هيك بدك تقوله Y يساوي لأن الطرف + +233 +00:28:13,710 --> 00:28:18,430 +الأيمن ما فيش مشكلة لحد هنا والله يعطيك العافية لحظة + +234 +00:28:18,430 --> 00:28:22,390 +أن هذا النوع من السؤال أصعب من اللي قبله شوية طب + +235 +00:28:22,390 --> 00:28:27,650 +إيش رأيك نجيب لك الفكرتين بسؤال واحد يعني ممكن + +236 +00:28:27,650 --> 00:28:32,910 +نجيب لك سؤال T missing وY missing اثنين مرة واحدة + +237 +00:28:56,740 --> 00:29:03,880 +طيب ممكن نجيب لك example كتالي + +238 +00:29:03,880 --> 00:29:12,560 +solve + +239 +00:29:12,560 --> 00:29:14,260 +initial value problem + +240 +00:29:20,720 --> 00:29:27,640 +الـ y prime و y double prime يساوي اثنين و الـ y + +241 +00:29:27,640 --> 00:29:32,960 +عند الـ zero بدها تساوي الواحد و الـ y prime عند الـ + +242 +00:29:32,960 --> 00:29:39,580 +zero بدها تساوي اثنين + +243 +00:29:39,580 --> 00:29:46,500 +طلعي + +244 +00:29:46,500 --> 00:29:53,300 +في المسألة هي مسألة فيها Y فيها T يبقى اثنين + +245 +00:29:53,300 --> 00:30:05,800 +مفقودين يبقى this is an equation with Y missing + +246 +00:30:05,800 --> 00:30:14,960 +and T missing اثنين مفقودين مش موجودين في المسألة + +247 +00:30:14,960 --> 00:30:20,460 +يبقى أحلى على الطريقة الأولى والثانية اللي بدك + +248 +00:30:20,460 --> 00:30:24,620 +إياها اللي بتشوفينها أسهل بالنسبة لك مين الأولى + +249 +00:30:24,620 --> 00:30:31,460 +أسهل؟ خلاص الأولى الأولى يبقى باجي بقول له let V + +250 +00:30:31,460 --> 00:30:38,360 +تساوي Y prime هذا بده يعطينا أن V prime بدها تساوي + +251 +00:30:38,360 --> 00:30:44,100 +Y double prime إذا المسألة صارت على الشكل التالي V + +252 +00:30:44,100 --> 00:30:51,700 +في الـ V prime يساوي قداش يساوي تمام كويس بدنا هذه + +253 +00:30:51,700 --> 00:31:00,120 +المسألة نحاول نكتبها بطريقة أخرى يبقى هذه V وهذه DV + +254 +00:31:00,120 --> 00:31:06,180 +على DT بده يساوي كده؟ بده يساوي اثنين يبقى بناء + +255 +00:31:06,180 --> 00:31:15,500 +عليها سعر V DV بده يساوي اثنين DT إن كامل الطرفين + +256 +00:31:15,500 --> 00:31:25,260 +يبقى V تربيع على اثنين يساوي 2T زائد ثابت C 2T زائد + +257 +00:31:25,260 --> 00:31:32,580 +ثابت C لو ضربتي كله في اثنين بصير عندنا مين هنا V + +258 +00:31:32,580 --> 00:31:43,750 +تربيع بده يساوي 4T زائد 2C طب مين هي V هذه؟ واللي + +259 +00:31:43,750 --> 00:31:52,490 +هي Y' يعني صار عندنا Y' لكل تربيع يساوي اثنين T + +260 +00:31:52,490 --> 00:32:00,910 +أو الله أربعة T أربعة T زائد اثنين C upon initial + +261 +00:32:00,910 --> 00:32:06,070 +condition المشتقة عندها Zero بدأت تساوي قداش اثنين + +262 +00:32:06,480 --> 00:32:12,880 +إذا المشتقة عند Zero بده تساوي اثنين implies + +263 +00:32:12,880 --> 00:32:19,340 +المشتقة تساوي قداشها دي اثنين يبقى اثنين تربيع + +264 +00:32:19,340 --> 00:32:27,400 +واجتاش لما T تساوي Zero زائد اثنين C إذا صار عند + +265 +00:32:27,400 --> 00:32:29,260 +هنا أربعة + +266 +00:32:35,190 --> 00:32:40,750 +يبقى صارت المسألة اللي عندي على الشكل التالي اللي + +267 +00:32:40,750 --> 00:32:50,410 +هو Y prime الكل تربيع بده يساوي أربعة T زائد أربعة + +268 +00:32:50,410 --> 00:32:56,350 +لأن C عندي بقدر أعتبره اثنين تمام طبعا بديش Y prime بدي + +269 +00:32:56,350 --> 00:33:02,770 +Y prime شو بنعمل؟ بناخد الجذر التربيعي للطرفين يبقى + +270 +00:33:02,770 --> 00:33:12,470 +بصير أن Y prime بده يساوي الجذر التربيعي للـ 4T زائد + +271 +00:33:12,470 --> 00:33:19,110 +أربعة طبعا الجذر ممكن يكون سالب أو موجب لكن لما كانت + +272 +00:33:19,110 --> 00:33:25,200 +المشتقة عندنا قيمة موجبة إذا بنهمل السالبة وبصير بس + +273 +00:33:25,200 --> 00:33:30,000 +بالشكل اللي عامله هذا يعني هذه كأنها صارت مين؟ DY + +274 +00:33:30,000 --> 00:33:38,740 +على DT يساوي الجذر التربيعي لـ 4T زائد أربعة أو الـ DY + +275 +00:33:38,740 --> 00:33:49,410 +بده يساوي الجذر التربيعي لـ 4T زائد أربعة DT تمام بدنا + +276 +00:33:49,410 --> 00:33:56,650 +نكامل الطرفين يبقى هذا معناه أن Y يساوي تكامل + +277 +00:33:56,650 --> 00:34:05,210 +الجذر التربيعي لـ 4T زائد أربعة كله بالنسبة إلى DT كيف + +278 +00:34:05,210 --> 00:34:11,550 +بدنا نكامل الدالة هذه يا بنات عادي + +279 +00:34:11,550 --> 00:34:17,760 +جدا كل كمية اللي تحت الجذر بحطها بـ W يبقى هاي W + +280 +00:34:17,760 --> 00:34:23,620 +بده يساوي أربعة T زائد أربعة يبقى DW بده يساوي + +281 +00:34:23,620 --> 00:34:32,360 +أربعة DT والـ أربعة دي كبيرة Zero إذا صار ربع DW بده + +282 +00:34:32,360 --> 00:34:41,400 +يساوي من DT إذا صار عندنا Y تساويهي التكامل وهذا + +283 +00:34:41,400 --> 00:34:51,060 +الـ W أس نص و الـ DT بربع دي W يبقى بناء عليه صار Y + +284 +00:34:51,060 --> 00:34:59,840 +يساوي الربع وهذه بصير W أس ثلاثة على اثنين على + +285 +00:34:59,840 --> 00:35:06,870 +ثلاثة على اثنين زائد ثابت وليكن C1 هذه يا بنات + +286 +00:35:06,870 --> 00:35:13,970 +بتصير الـ Y يساوي هذه بتطلع فوق بظل هنا اثنين بصير + +287 +00:35:13,970 --> 00:35:22,250 +السدس اللي هو W أس ثلاثة على اثنين زائد ثابت C1 + +288 +00:35:23,750 --> 00:35:28,270 +بتطلع اثنين فوق اثنين مع أربعة بيبقى النص في تلت + +289 +00:35:28,270 --> 00:35:34,150 +اللي هو بـ ستة و W أس ثلاثة على اثنين زائد ثابت C1 + +290 +00:35:34,150 --> 00:35:38,250 +طب في أن الـ initial condition الثاني Y عند Zero يساوي + +291 +00:35:38,250 --> 00:35:44,090 +الواحد يبقى لو جينا هنا جينا نحسب الـ condition أو + +292 +00:35:44,090 --> 00:35:48,870 +نستخدم الـ initial condition الثاني مشان حساب الـ + +293 +00:35:48,870 --> 00:35:50,570 +ثابت الثاني + +294 +00:35:57,060 --> 00:36:01,020 +يبقى بناءً على هذا باجي بقول له احنا عندنا Y عند الـ + +295 +00:36:01,020 --> 00:36:07,740 +Zero تساوي واحد implies أن واحد بده يساوي + +296 +00:36:12,540 --> 00:36:17,040 +الـ W قداش اللي هي أربعة T زائد أربعة يعني هذه + +297 +00:36:17,040 --> 00:36:21,760 +تساوي الـ square root للـ أربعة + +298 +00:36:21,760 --> 00:36:27,980 +T زائد أربعة كله أس ثلاثة على اثنين زائد ثابت + +299 +00:36:27,980 --> 00:36:34,950 +C1 إذا صار واحد بده يساوي الـ square root و إيه الـ ghost + +300 +00:36:34,950 --> 00:36:42,310 +تي بي Zero بيضل أربعة أس ثلاثة على اثنين زائد + +301 +00:36:42,310 --> 00:36:48,870 +ثابت C1 يفكر هذا بده يعطينا أن واحد يساوي هذا + +302 +00:36:48,870 --> 00:36:53,350 +ناقص الجذر التربيعي يلاقي أربعة تكعيب أربعة تكعيب + +303 +00:36:53,350 --> 00:36:59,900 +اللي هي بـ 64 تحت الجذر التربيعي بتمانية يبقى + +304 +00:36:59,900 --> 00:37:08,860 +هاي ثمانية على ستة زائد ثابت C1 أو الواحد بده + +305 +00:37:08,860 --> 00:37:15,960 +يساوي أربعة على ثلاثة زائد ثابت C1 يبقى C1 بده + +306 +00:37:15,960 --> 00:37:26,670 +يساوي سالب ثلث إذا بصير الحل اللي عندنا Y يساوي هي + +307 +00:37:26,670 --> 00:37:35,790 +السدس برا وهذا أربعة T زائد أربعة أس ثلاثة على + +308 +00:37:35,790 --> 00:37:43,310 +اثنين وناقص ثلث بالشكل اللي عندنا هذا يبقى هذا شكل + +309 +00:37:43,310 --> 00:37:47,370 +الـ general solution للمعادلة شايفينها صغيرة مش + +310 +00:37:47,370 --> 00:37:48,430 +مستاهلة يعني + +311 +00:37:51,420 --> 00:37:56,960 +أيوة عليك بكون انتهى هذا الـ chapter وإلى يكون أرقام + +312 +00:37:56,960 --> 00:38:03,640 +المسائل التالية اللي هو التمرين العامة تمرين + +313 +00:38:03,640 --> 00:38:15,120 +العامة أو مسائل عامة على chapter اثنين + +314 +00:38:17,060 --> 00:38:22,920 +المثال من واحد لغاية اثنين وثلاثين اللي هو + +315 +00:38:22,920 --> 00:38:31,640 +multiple of three إيش يعني مضاعفات ثلاثة ثلاثة ستة + +316 +00:38:31,640 --> 00:38:38,120 +تسعة الآخرين كويس وبنضيف عليها السؤال أربعة و + +317 +00:38:38,120 --> 00:38:44,580 +ثلاثين تبع recate equation حلنا احنا نمرة A أنت بدك + +318 +00:38:44,580 --> 00:38:52,560 +تحلي نمرة B وكذلك نمرة C وبعد هيك المسائل تاعة + +319 +00:38:52,560 --> 00:38:57,780 +الـ Y missing و الـ T missing من ستة وثلاثين لغاية + +320 +00:38:57,780 --> 00:39:06,880 +خمسين اللي هي الـ odd حد + +321 +00:39:06,880 --> 00:39:11,750 +لا يتسول في هذا الـ chapter أي تساؤل في هذا الـ + +322 +00:39:11,750 --> 00:39:17,350 +chapter ننتقل الآن على الـ chapter رقم ثلاثة اللي + +323 +00:39:17,350 --> 00:39:20,570 +هو second order differential equations + +324 +00:40:03,180 --> 00:40:15,360 +chapter ثلاثة second order + +325 +00:40:15,360 --> 00:40:20,840 +linear differential + +326 +00:40:20,840 --> 00:40:24,020 +equations + +327 +00:40:27,330 --> 00:40:32,650 +أول section في هذا الـ chapter ثلاثة واحد اللي هو + +328 +00:40:32,650 --> 00:40:40,070 +الـ homogeneous differential equations + +329 +00:40:40,070 --> 00:40:47,430 +with constant coefficients with constant + +330 +00:40:47,430 --> 00:40:49,130 +coefficients + +331 +00:41:19,590 --> 00:41:23,780 +خلّي بالكم معنا هنا يبقى احنا انتهينا من الـ first + +332 +00:41:23,780 --> 00:41:28,440 +order differential equation وبنتقل لـ second order + +333 +00:41:28,440 --> 00:41:32,760 +differential equation كاتبين احنا second order + +334 +00:41:32,760 --> 00:41:36,980 +linear differential equation اه احنا في أول + +335 +00:41:36,980 --> 00:41:42,020 +chapter ما عرفناش إلا الـ first order linear + +336 +00:41:42,020 --> 00:41:45,140 +differential equation لكن الـ second order ما عرفناش + +337 +00:41:45,140 --> 00:41:49,360 +يبقى أول شغلة بنروح نعرف الـ second order linear + +338 +00:41:49,360 --> 00:41:53,670 +differential equation وبعد هيك نبدأ نفصل في مهم في + +339 +00:41:53,670 --> 00:41:59,210 +هذه المعادلة إذا بتروح تكتب التعريف تبعها كتالي + +340 +00:41:59,210 --> 00:42:05,850 +definition و بدي اعتبره التعريف الأول a second + +341 +00:42:05,850 --> 00:42:11,330 +order + +342 +00:42:11,330 --> 00:42:14,430 +ordinary + +343 +00:42:14,430 --> 00:42:17,950 +differential + +344 +00:42:17,950 --> 00:42:19,850 +equation + +345 +00:42:21,390 --> 00:42:29,510 +is an equation in the form is an equation in the + +346 +00:42:29,510 --> 00:42:39,410 +form بالشكل التالي اللي هو Yw prime أو d square y + +347 +00:42:39,410 --> 00:42:50,750 +by dt square بده يساوي f of t و Y و dy على dt + +348 +00:42:51,240 --> 00:42:57,240 +واعتبرين أن هذه المعادلة رقم واحد تعال في الثانية + +349 +00:42:57,240 --> 00:43:07,660 +الـ differential equation one is called linear is + +350 +00:43:07,660 --> 00:43:19,260 +called linear سميها معادلة خطية if it can + +351 +00:43:44,270 --> 00:43:45,670 +Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y'' + +352 +00:43:47,120 --> 00:43:54,360 +سمّيه لهذه كمان المعادلة رقم اثنين where الـ P of T + +353 +00:43:54,360 --> 00:44:06,360 +والـ Q of T and الـ G of T are continuous functions + +354 +00:44:06,360 --> 00:44:13,240 +of + +355 +00:44:13,240 --> 00:44:13,660 +T + +356 +00:44:18,320 --> 00:44:28,880 +ملاحظة بسيطة sometimes أحيانًا the differential + +357 +00:44:28,880 --> 00:44:38,780 +equation اثنين appears تظهر + +358 +00:44:38,780 --> 00:44:43,240 +in the form الشكل + +359 +00:44:43,240 --> 00:44:54,470 +التالي اللي هو P of T في الـ Yw prime زائد لـ Q of T + +360 +00:44:54,470 --> 00:45:05,710 +في الـ Y prime زائد R of T في الـ Y بدها تساوي G of + +361 +00:45:05,710 --> 00:45:22,390 +T where حيث الـ P حيث الـ P of T بده يساوي الـ Q of T + +362 +00:45:22,390 --> 00:45:35,750 +على capital P of T والـ Q of T بده يساوي الـ R of T + +363 +00:45:35,750 --> 00:45:40,390 +على capital P of T and + +364 +00:45:42,560 --> 00:45:53,400 +الـ G of T بده يساوي أو الـ G small of T الـ G of T + +365 +00:45:53,400 --> 00:46:07,580 +بده يساوي الـ G of T على capital P of T command + +366 +00:46:07,580 --> 00:46:09,120 +definition ثالث + +367 +00:46:17,530 --> 00:46:32,890 +if the second order differential equation is + +368 +00:46:32,890 --> 00:46:47,730 +not in the form في الشكل اثنين أو في الشكل اثنين أو + +369 +00:46:47,730 --> 00:46:54,370 +ثلاثة ثلاثة طبعًا اللي هو الشكل تبع الـ G of T هذا + +370 +00:46:54,370 --> 00:47:00,650 +الشكل اللي هو ثلاثة إذا ما كانتش في اثنين أو ثلاثة + +371 +00:47:00,650 --> 00:47:14,110 +then it is called nonlinear ماهي مش + +372 +00:47:14,110 --> 00:47:14,730 +خطية + +373 +00:47:17,280 --> 00:47:23,640 +آخر definition هو أربعة بيقول الـ differential + +374 +00:47:23,640 --> 00:47:33,720 +equation the differential equation اثنين أو ثلاثة + +375 +00:47:33,720 --> 00:47:42,160 +is called homogeneous is called homogeneous + +376 +00:47:43,660 --> 00:47:54,660 +فالـ G of T بدها تساوي Zero أو G of T بدها تساوي + +377 +00:47:54,660 --> 00:48:02,220 +Zero and non homogeneous + +378 +00:48:07,410 --> 00:48:17,410 +الـ G of T لا تساوي Zero أو G of T لا تساوي Zero + +379 +00:48:22,230 --> 00:48:27,710 +بنرجع لهذه التعريف مرة ثانية من بدايتها يعني + +380 +00:48:27,710 --> 00:48:32,250 +دراستنا في هذا الـ chapter بدأت تكون مصابة على هذه + +381 +00:48:32,250 --> 00:48:38,070 +التعريف second order linear differential equation + +382 +00:48:38,070 --> 00:48:42,070 +يبقى احنا بدنا نشتغل على معادلات خطية من الرتبة + +383 +00:48:42,070 --> 00:48:45,670 +الثانية homogeneous differential equation with + +384 +00:48:45,670 --> 00:48:49,710 +constant coefficients بدنا نبدأ بما بالـ + +385 +00:48:49,710 --> 00:48:52,550 +homogeneous differential equations المعادلات + +386 +00:48:52,550 --> 00:49:00,290 +الخطية المتجانسة بمعاملات ثابتة اللي بدنا ناخد + +387 +00:49:00,290 --> 00:49:03,450 +المعادلة الـ general لغاية ما نوصل للـ homogeneous + +388 +00:49:03,450 --> 00:49:05,970 +يبقى الـ second order ordinary differential + +389 +00:49:05,970 --> 00:49:08,910 +equation هي عبارة عن المعادلة في الشكل التالي + +390 +00:49:08,910 --> 00:49:1 + +431 +00:53:19,800 --> 00:53:25,080 +بدنا نشتغل عليه خلال مين؟ خلال هذا section لو جايلي + +432 +00:53:25,080 --> 00:53:29,380 +كمان كلام زيادة with constant coefficients مش + +433 +00:53:29,380 --> 00:53:33,580 +حياله يبقى أنا بأخد اللي هو ال homogeneous + +434 +00:53:33,580 --> 00:53:38,160 +differential equation وبعدين بأخد حلقة خاصة منها + +435 +00:53:38,160 --> 00:53:43,190 +لو كانوا المعاملات ثوابت، ببدأ اشتغل عليها وبعد هيك + +436 +00:53:43,190 --> 00:53:49,970 +برجع لو كان المعاملات متغيرات تمام يبقى بدل ال + +437 +00:53:49,970 --> 00:53:54,630 +section تلاتة هنشتغل علامين على ال homogeneous + +438 +00:53:54,630 --> 00:53:58,070 +differential equation وبعد هيك بنرجع لل non + +439 +00:53:58,070 --> 00:54:02,140 +homogeneous differential equation بنضغطهم في آخر + +440 +00:54:02,140 --> 00:54:07,320 +two sections من هذا ال chapter اللي هو section + +441 +00:54:07,320 --> 00:54:13,460 +تلاتة وستة وتلاتة سبعة يبقى بدنا نبدأ بمين؟ بال + +442 +00:54:13,460 --> 00:54:19,460 +homogeneous اللي هو differential equation يبقى + +443 +00:54:19,460 --> 00:54:26,560 +بدنا نأخذ solution بدنا + +444 +00:54:26,560 --> 00:54:35,740 +الحل of the homogeneous differential + +445 +00:54:35,740 --> 00:54:37,820 +equation + +446 +00:54:38,760 --> 00:54:45,640 +اللي capital P of T في ال Y double prime زائد capital Q + +447 +00:54:45,640 --> 00:54:53,860 +of T في ال Y prime زائد ال R capital of T في ال Y + +448 +00:54:53,860 --> 00:54:58,920 +بدها تساوي Zero وهذه يا بنات سموها للمعادلة رقم + +449 +00:54:58,920 --> 00:55:05,420 +واحد، هذه اللي بنبدأ نشتغل عليها، بدنا نأخذ الحالة + +450 +00:55:05,420 --> 00:55:13,710 +الخاصة اللي احنا جايين عليها P of T والـ Q of T + +451 +00:55:13,710 --> 00:55:30,990 +and ال R of T are constants then equation 1 as ال + +452 +00:55:30,990 --> 00:55:31,530 +A + +453 +00:55:47,130 --> 00:55:48,530 +Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y'' + +454 +00:55:56,350 --> 00:56:02,230 +يبقى احنا الآن وصلنا لمين؟ للعلوم اللي احنا رافعينه + +455 +00:56:02,230 --> 00:56:07,370 +هذا يبقى + +456 +00:56:07,370 --> 00:56:12,290 +هذا اللي فات كان كله مقدمة عشان نعرف ما هو شكل ال + +457 +00:56:12,290 --> 00:56:16,890 +second order linear differential equation الآن + +458 +00:56:16,890 --> 00:56:21,090 +وصلنا إلى معادلة بهذا الشكل with constant + +459 +00:56:21,090 --> 00:56:25,210 +coefficients يعني المعاملات ال a والـ b والـ c + +460 +00:56:25,210 --> 00:56:30,410 +كلهم ثوابت طيب كويس، صح؟ اصحى الآن كيف بدنا نحل + +461 +00:56:30,410 --> 00:56:35,710 +المعادلة دي؟ بتروح تفترض حل من عندك لهذه المعادلة + +462 +00:56:35,710 --> 00:56:41,250 +يبقى بدنا نجي نقول له Let هذه سميناها حاجة ولا لسه؟ دي + +463 +00:56:41,250 --> 00:56:43,530 +واحد سموها هذه اتنين + +464 +00:57:04,410 --> 00:57:11,850 +افترض أن هذا حل، مادام حل إذا لازم له يحقق المعادلة + +465 +00:57:11,850 --> 00:57:18,600 +يبقى then مادام هيك بدنا نجيبه المشتقة الأولى + +466 +00:57:18,600 --> 00:57:23,080 +والمشتقة الثانية ونعوض في المعادلة ونشوف وين + +467 +00:57:23,080 --> 00:57:29,300 +بدنا نوصل يبقى لو جيت قلت Y prime اظن مشتقة الـ X + +468 +00:57:29,300 --> 00:57:37,380 +بننزلها بنفسها ضرب مشتقة الأس، كده مشتقة الأس؟ هذا + +469 +00:57:37,380 --> 00:57:41,780 +رقم + +470 +00:57:41,780 --> 00:57:48,340 +ثابت يبقى رقم ثابت يبقى رقم ثابت يبقى رقم ثابت + +471 +00:57:48,340 --> 00:57:55,840 +يبقى رقم ثابت يبقى بدنا نيجي نمسك المعلومات اللي حصلت + +472 +00:57:55,840 --> 00:58:00,620 +عليها ونروح نعوض في المعادلة اتنين يبقى بدنا نجي + +473 +00:58:00,620 --> 00:58:12,180 +نقوله هنا Substitute in equation اتنين وجينا نحصل + +474 +00:58:12,180 --> 00:58:25,130 +على ما يلي، هذا الـ A Y R تربيع في E أس RT زائد P R E + +475 +00:58:25,130 --> 00:58:37,930 +أس RT زائد C في E أس RT سؤال + +476 +00:58:37,930 --> 00:58:44,470 +هذا الكلام كله بدو يساوي قداش؟ بده يساوي Zero هل + +477 +00:58:44,470 --> 00:58:48,610 +الـ exponential function في يوم من الأيام ممكن + +478 +00:58:48,610 --> 00:58:49,890 +تساوي Zero؟ + +479 +00:58:53,590 --> 00:58:56,870 +الـ Exponential E أس RT ممكن تساوي 0 في يوم من + +480 +00:58:56,870 --> 00:59:01,270 +الأيام؟ عمر ما الـ Exponential بتساوي 0 ولا حتى + +481 +00:59:01,270 --> 00:59:05,630 +قيمة سالبة، الـ Exponential دائما وأبدا قيمة + +482 +00:59:05,630 --> 00:59:10,070 +موجبة زي ما اتعرفنا عليها، إذا كنتوا بتذكروا في + +483 +00:59:10,070 --> 00:59:15,570 +Calculus B رسمنا الـ Exponential function فكانت + +484 +00:59:15,570 --> 00:59:21,380 +على الشكل التالي اللي عندنا، يعني هذه A أس RT لو + +485 +00:59:21,380 --> 00:59:26,420 +كانت بالسالب بتيجي من ويا من الناحية الثانية يبقى + +486 +00:59:26,420 --> 00:59:33,240 +هذا محور T وهذا محور Y لو كانت بالسالب بتيجي كده + +487 +00:59:35,090 --> 00:59:42,070 +هذا الـ A أس ناقص RT فهذه النقطة اللي هي الـ Zero + +488 +00:59:42,070 --> 00:59:47,290 +وهذه واحد يبقى دائما وأبدا الرسمة المنحنة تبعها + +489 +00:59:47,290 --> 00:59:52,880 +كله أعلى الـ X axis يعني لا تأخذ إلا قيمة موجبة + +490 +00:59:52,880 --> 00:59:59,180 +تمام تمام، طيب شو رأيكم بنقدر نجمع المعادلة كلها على + +491 +00:59:59,180 --> 01:00:04,460 +E أس RT بدون مشاكل، مدام لا يساوي Zero بقدر أجمع + +492 +01:00:04,460 --> 01:00:12,760 +عليها يبقى لو جمعت طرفين على E أس RT بنحصل على + +493 +01:00:12,760 --> 01:00:14,740 +المعادلة التالية + +494 +01:00:30,200 --> 01:00:35,060 +يبقى لو قسمنا على a وأقصرتي بصراحة إن الـ a في ال + +495 +01:00:35,060 --> 01:00:42,780 +R تربيع زائد P R زائد C يساوي Zero ايش رأيكم هذه + +496 +01:00:42,780 --> 01:00:44,220 +معادلة تفاضلية؟ + +497 +01:00:49,350 --> 01:00:53,910 +لأ، يبقى احنا كنا بنشتغل على معادلة تفاضلية + +498 +01:00:53,910 --> 01:00:58,310 +وانتقلنا إلى معادلة عادية، كنا بنشتغل على معادلة + +499 +01:00:58,310 --> 01:01:01,810 +تفاضلية من الرتبة الثانية، انتقلنا إلى معادلة + +500 +01:01:01,810 --> 01:01:06,510 +عادية من الدرجة الثانية، مظبوط ولا لأ؟ إذا بدنا + +501 +01:01:06,510 --> 01:01:13,030 +نحَل المعادلة هذه، حل المعادلة هذه كالتالي يبقى هذه + +502 +01:01:13,030 --> 01:01:18,970 +بنسميها يا بنات the characteristic + +503 +01:01:21,670 --> 01:01:25,370 +المعادلة المميزة أو ال auxiliary equation + +504 +01:01:25,370 --> 01:01:29,030 +المعادلة المساعدة، كتابنا بيقول ال characteristic + +505 +01:01:29,030 --> 01:01:34,310 +يبقى the characteristic equation of the + +506 +01:01:34,310 --> 01:01:41,230 +differential equation اللي أعطيناها الرقمين، الرقم + +507 +01:01:41,230 --> 01:01:42,090 +اتنين + +508 +01:01:44,470 --> 01:01:49,390 +يبقى يا أدم يسميها المعادلة المميزة للمعادلة رقم + +509 +01:01:49,390 --> 01:01:55,630 +اتنين أو المعادلة المساعدة للمعادلة رقم اتنين، طيب + +510 +01:01:55,630 --> 01:01:59,630 +بدنا نحلها بقول مضرّة تانية بحلها عادي جدا + +511 +01:01:59,630 --> 01:02:05,630 +بالقانون العام، بالقانون يبقى in general R تساوي ناقص + +512 +01:02:05,630 --> 01:02:12,130 +B زائد أو ناقص الجذر التربيعي لـ B تربيع ناقص 4AC + +513 +01:02:12,130 --> 01:02:21,430 +كله على 2A يبقى كم قيمة صار عندي لـ R؟ يعني + +514 +01:02:21,430 --> 01:02:28,750 +كم حل صار عندي؟ حلين، يعني هذا بده يعطينا إن R1 + +515 +01:02:28,750 --> 01:02:35,710 +بده يساوي ناقص B زائد الجذر التربيعي لـ B تربيع ناقص + +516 +01:02:35,710 --> 01:02:44,840 +4AC على 2A والـ R2 يساوي ناقص B ناقص الجذر التربيعي + +517 +01:02:44,840 --> 01:02:54,900 +لـ B تربيع ناقص 4AC كله على 2A تبقى + +518 +01:02:54,900 --> 01:03:00,280 +صاروا عندي جذرين طيب استنى شوية كيف؟ مين اللي افتح + +519 +01:03:00,280 --> 01:03:01,760 +كشوف شفت سهل؟ أيوة + +520 +01:03:12,520 --> 01:03:18,520 +أو ايش؟ مركبين يعني تخيليين آه، في إن الجذرين هدول + +521 +01:03:18,520 --> 01:03:23,040 +يا بنات the roots اللي هم أحد ثلاثة احتمالات + +522 +01:03:23,040 --> 01:03:28,240 +الاحتمال الأول إن اتنين are different ولا واحد زي + +523 +01:03:28,240 --> 01:03:36,090 +التاني، الاحتمال الثاني إن اتنين هدول يكونوا متساويين + +524 +01:03:36,090 --> 01:03:42,290 +R1 يساوي R2، الاحتمال الثالث إن هؤلاء يكونوا are + +525 +01:03:42,290 --> 01:03:46,390 +conjugate complex أو complex conjugate اتنين + +526 +01:03:46,390 --> 01:03:52,930 +يكونوا تخيليين ومترافقين في نفس الوقت اللي بده + +527 +01:03:52,930 --> 01:03:59,610 +يتحكم في هذا الكلام المميز من المميز اللي هو + +528 +01:03:59,610 --> 01:04:03,430 +القيمة اللي تحت الجذر هذه، إذا القيمة اللي تحت + +529 +01:04:03,430 --> 01:04:10,390 +الجذر موجبة يبقى اتنين are real and different يبقى + +530 +01:04:10,390 --> 01:04:16,430 +R1 لا يساوي R2، إذا والله المميز يساوي 0 يبقى طار + +531 +01:04:16,430 --> 01:04:21,450 +الجذر هذا وطار الجذر الثاني R1 نقصنا بيه على 2A وهنا + +532 +01:04:21,450 --> 01:04:27,150 +نقصنا بيه نفس الشيء يبقى 2R equal R1 بده يساوي + +533 +01:04:27,150 --> 01:04:31,470 +R2، الاحتمال الثالث إن لو كانت الكمية اللي تحت + +534 +01:04:31,470 --> 01:04:37,110 +الجذر كمية سالبة بيصيروا 2R complex conjugate + +535 +01:04:40,420 --> 01:04:47,980 +طيب يبقى هي طلعنا الجذور اللي هي R1 وR2 يبقى فيها + +536 +01:04:47,980 --> 01:04:58,280 +إن الاحتمال الأول إنه if الـ B تربيع ناقص 4AC + +537 +01:04:58,280 --> 01:05:11,100 +greater than 0 then the roots are real and + +538 +01:05:11,100 --> 01:05:16,500 +different يبقى + +539 +01:05:16,500 --> 01:05:24,660 +اتنين حقيقيين ومختلفين that is أي إن R واحد + +540 +01:05:24,660 --> 01:05:36,380 +لا تساوي R اتنين، R واحد لا تساوي R اتنين، نمرة اتنين if + +541 +01:05:37,100 --> 01:05:45,480 +الـ B تربيع ناقص أربعة AC بدو يساوي Zero then the + +542 +01:05:45,480 --> 01:05:57,840 +roots are real repeated، ايش يعني حقيقية ومكررة؟ + +543 +01:05:57,840 --> 01:06:01,920 +يعني اتنين are coincide، اتنين بنطبقوا على بعض يعني + +544 +01:06:01,920 --> 01:06:06,720 +اتنين are equal يبقى بقوله that is + +545 +01:06:09,170 --> 01:06:19,950 +إن R1 يساوي R2، نمرة تلاتة if الـ B تربيع ناقص أربعة + +546 +01:06:19,950 --> 01:06:32,330 +AC أقل من Zero يبقى then the roots are complex + +547 +01:06:32,330 --> 01:06:34,670 +conjugate + +548 +01:06:38,460 --> 01:06:45,740 +يبقى كمية تخيلية ومترافقة، ايش الكمية التخيلية + +549 +01:06:45,740 --> 01:06:50,320 +والمترافقة؟ حد بتقدر تجيب لي عدد تخيلي يا بنات؟ + +550 +01:06:50,320 --> 01:06:54,880 +عدد كم؟ عطيني بس أي حاجة تقول بس الواحد يرفع + +551 +01:06:54,880 --> 01:07:05,290 +يده ويحكي آه جذر سالب تلاتة، جذر + +552 +01:07:05,290 --> 01:07:10,830 +تلاتة i، i الحرف الأول من كلمة imaginary + +553 +01:07:14,300 --> 01:07:20,360 +لسالب واحد لكن in general الرقم التخيلي أو العدد + +554 +01:07:20,360 --> 01:07:26,080 +التخيلي بنقول a زائد ib كنتوا في الثانوية بيقولوا + +555 +01:07:26,080 --> 01:07:32,060 +سين زائد تاء حيث تاء الحرف الأول من كلمات تخيلي + +556 +01:07:32,060 --> 01:07:38,200 +احنا إننا نقلنا جهة بيقول a زائد bi أو ib حيث i هو + +557 +01:07:38,200 --> 01:07:44,080 +الجذر التربيعي لمين؟ لسالب واحد يبقى لو كان الرقم + +558 +01:07:44,080 --> 01:07:50,160 +الأول أو العدد الأول تخيلي a زائد b في i الثاني + +559 +01:07:50,160 --> 01:07:54,960 +ايش بيكون؟ كونجوجيت التابع المرافق يبقى المرافق للجزء + +560 +01:07:54,960 --> 01:08:01,620 +التخيلي وليس للجزء الحقيقي بيكون التخيلي a ناقص b + +561 +01:08:01,620 --> 01:08:08,730 +في i تمام؟ طيب احنا اليوم بنأخذ بس الحالة الأولى وبعد + +562 +01:08:08,730 --> 01:08:13,210 +هيك الحالات الثانية والثالثة هنحط كل واحدة في + +563 +01:08:13,210 --> 01:08:19,810 +section منفصل عن الثاني يبقى بدنا نجي نأخذ الآن if + +564 +01:08:19,810 --> 01:08:29,450 +the roots are real and different + +565 +01:08:33,460 --> 01:08:47,220 +then the two solutions of the differential + +566 +01:08:47,220 --> 01:09:00,930 +equation two R الأول هسمي Y1 يساوي E أس R1T وY2 + +567 +01:09:00,930 --> 01:09:10,550 +يساوي E أس R2T لأن R1 وR2 ليسوا إيقال بيساويوش بعض + +568 +01:09:10,550 --> 01:09:15,840 +طيب إذا صار عندي حلين طيب لكن احنا بدنا نشتغلها بدنا + +569 +01:09:15,840 --> 01:09:23,080 +ال general solution يبقى هذا يا بنات لو جينا عوضنا + +570 +01:09:23,080 --> 01:09:28,880 +في المعادلة رقم اتنين بدو يحققها وهذا كمان لو جينا + +571 +01:09:28,880 --> 01:09:34,500 +عوضنا في المعادلة رقم اتنين بده يحققها لكن في عندي + +572 +01:09:34,500 --> 01:09:43,140 +the general solution of + +573 +01:09:44,040 --> 01:09:54,720 +the differential equation اتنين is Y يساوي c1Y1 + +574 +01:09:54,720 --> 01:10:06,720 +زائد c2Y2 يعني Y تساوي c1 في E أس r1t زائد c2 في E + +575 +01:10:06,720 --> 01:10:09,200 +أس r2t + +576 +01:10:11,510 --> 01:10:16,250 +يبقى الامبارح في المستطيل هذا يعتبر ال general + +577 +01:10:16,250 --> 01:10:23,850 +solution للمعادلة رقم 2 إذا كانت الجذور حقيقية + +578 +01:10:23,850 --> 01:10:29,390 +ومختلفة، لو كانت الجذور حقيقية ومختلفة إلا الشكل + +579 +01:10:29,390 --> 01:10:34,010 +غير هذا الشكل، ولو كانت complex إلا شكل غير هذا + +580 +01:10:34,010 --> 01:10:39,480 +الشكل، إذا يا بنات من الآن فصاعدا من حد لاقي الجذور + +581 +01:10:39,480 --> 01:10:43,100 +تبع الـ characteristic equation اللي فوق are + +582 +01:10:43,100 --> 01:10:47,980 +real and different automatically الحل العام للمعادلة + +583 +01:10:47,980 --> 01:10:52,240 +رقم اتنين على الشكل اللي عندنا هذا يبقى بس عليك + +584 +01:10:52,240 --> 01:10:58,500 +توش دي are واحد و are اتنين طيب السؤال هو طيب لو + +585 +01:10:58,500 --> 01:11:02,800 +أعطاني مثل كيف بدي أبدأ؟ بقول كويس إن أعطاك مثل + +586 +01:11:02,800 --> 01:11:08,950 +بيعطيك مثل زي هذه الخطوة الأولى let Y تساوي E أس RT be a + +587 +01:11:08,950 --> 01:11:12,910 +solution، بجيب المشتقة الأولى والمشتقة الثانية + +588 +01:11:12,910 --> 01:11:17,010 +ومنها بجيب الـ characteristic equation، جيبنا ال + +589 +01:11:17,010 --> 01:11:22,070 +characteristic equation بروح بحلها عادي جدا زي + +590 +01:11:22,070 --> 01:11:26,110 +الاعدادية زي الصف التامن اللي كنا نشتغل فيها هو + +591 +01:11:26,110 --> 01:11:29,470 +الصف السابع والله لا أدري ما كان الصف التامن تمام + +592 +01:11:29,470 --> 01:11:33,940 +بروح نحل المعادلة هذه ونجيب الجذور R1 و R2 + +593 +01:11:33,940 --> 01:11:37,780 +اللي جابتهم مختلفين، إذا الـ general solution على طول + +594 +01:11:37,780 --> 01:11:43,400 +على هذا الشكل اللي عندنا هذا تمام؟ حد بتسألي سؤال + +595 +01:11:43,400 --> 01:11:50,920 +قبل أن ندخل إلى الأمثلة؟ أنا أمثلة كتير آه هي عم + +596 +01:11:50,920 --> 01:11:55,760 +بتسأل؟ طيب، ندخل إلى الأمثلة + +597 +01:12:24,080 --> 01:12:26,480 +المثال الأول examples + +598 +01:12:41,730 --> 01:12:49,350 +solve the following differential + +599 +01:12:49,350 --> 01:12:52,410 +equation + +600 +01:12:52,410 --> 01:13:06,490 +equation z نمرا a Y double prime زائد خمسة Y prime + +601 +01:13:0 + +646 +01:18:22,760 --> 01:18:28,320 +بالـ قداش اثنين زائد أو ناقص الجذر التربيعي اللي بات + +647 +01:18:28,320 --> 01:18:37,640 +التربيعي اللي هو أربعة ناقص أربعة ألف اللي هو بواحد + +648 +01:18:38,040 --> 01:18:46,240 +جيم اللي هو بسالب اثنين كله على اثنين في واحد يبقى + +649 +01:18:46,240 --> 01:18:51,260 +إحصار هذه يا بناتي اثنين زائد أو ناقص تطلعي هذه + +650 +01:18:51,260 --> 01:18:57,940 +بقداش موجبة ثمانية موجبة ثمانية أو أربعة أطماش + +651 +01:18:57,940 --> 01:19:03,970 +أطماش اللي هو اثنين جذر ثلاثة يبقى اثنين جذر ثلاثة + +652 +01:19:03,970 --> 01:19:08,330 +على اثنين، تلاحظين القيمة التي تحت الجذر التالية + +653 +01:19:08,330 --> 01:19:13,200 +عليها موجبة يبقى الجذور اثنين are real and + +654 +01:19:13,200 --> 01:19:20,620 +different يبقى صار عند الـ R يساوي واحد زائد أو + +655 +01:19:20,620 --> 01:19:26,380 +ناقص جذر ثلاثة يبقى صار R واحد يساوي واحد زائد جذر + +656 +01:19:26,380 --> 01:19:33,780 +ثلاثة و R اثنين واحد ناقص جذر ثلاثة يبقى باجي بقول له + +657 +01:19:33,780 --> 01:19:36,720 +the solution + +658 +01:19:38,790 --> 01:19:48,070 +Y تساوي C1 في E أس واحد زائد جذر ثلاثة كله في T + +659 +01:19:48,070 --> 01:20:00,030 +زائد C2 في E أس واحد ناقص جذر ثلاثة كله في من؟ كله + +660 +01:20:00,030 --> 01:20:00,870 +في T + +661 +01:20:09,710 --> 01:20:16,130 +يبقى هاي كتبت له الحل تبع من؟ تبع المعادلة هذه رقم + +662 +01:20:16,130 --> 01:20:16,690 +اثنين + +663 +01:20:39,390 --> 01:20:51,070 +نأخذ كمان مثال example + +664 +01:20:51,070 --> 01:20:57,270 +to solve the + +665 +01:20:57,270 --> 01:21:03,090 +following initial + +666 +01:21:03,090 --> 01:21:14,040 +value problem and describe and describe أوصف + +667 +01:21:14,040 --> 01:21:24,420 +ليه its behavior its behavior describe + +668 +01:21:24,420 --> 01:21:33,580 +its behavior as T increases as T increases + +669 +01:21:38,730 --> 01:21:46,650 +سؤال عشرة من الكتاب يقول y w prime زائد أربعة y + +670 +01:21:46,650 --> 01:21:54,870 +prime زائد ثلاثة y تساوي صفر و الـ y عند الـ zero + +671 +01:21:54,870 --> 01:22:00,030 +بده يساوي اثنين و الـ y prime عند الـ zero بده يساوي + +672 +01:22:00,030 --> 01:22:05,730 +سالب واحد نمرأ بيه اللي هو سؤال ستة عشر من الكتاب + +673 +01:22:06,520 --> 01:22:15,340 +بقول أربعة y double prime ناقص y تساوي صفر و الـ y + +674 +01:22:15,340 --> 01:22:22,380 +عند السالب اثنين بده يساوي واحد و الـ y prime عند + +675 +01:22:22,380 --> 01:22:28,760 +السالب اثنين بالـ y prime عند السالب اثنين بده يساوي + +676 +01:22:28,760 --> 01:22:30,320 +سالب واحد + +677 +01:23:04,330 --> 01:23:08,950 +سؤال زي ما تشوفين initial value problem و بدل + +678 +01:23:08,950 --> 01:23:13,670 +المطلوب اثنين و ليس مطلوبًا واحد بيقول حل الـ + +679 +01:23:13,670 --> 01:23:18,030 +initial value problem و هات لي ما هو شكل الحل أو + +680 +01:23:18,030 --> 01:23:23,670 +وصف لي سلوك الحل لما T increases يعني لما T تكبر و + +681 +01:23:23,670 --> 01:23:29,330 +تروح لوين؟ للمال لا نهاية إذا أنا بدي أمسك المثال رقم + +682 +01:23:29,330 --> 01:23:34,650 +واحد يبقى هذه اعتبارها المثال رقم واحد وهذه المثال + +683 +01:23:34,650 --> 01:23:42,390 +رقم اثنين يبقى بينادي لنمرأ إيه لـ Y تساوي E أس RT + +684 +01:23:42,390 --> 01:23:55,390 +بـ solution of the differential equation one يبقى + +685 +01:23:55,390 --> 01:24:00,230 +automatic بروح بقول له إيه؟ the characteristic + +686 +01:24:00,230 --> 01:24:06,350 +equation is R + +687 +01:24:06,350 --> 01:24:14,490 +تربيع زائد أربعة R زائد ثلاثة تساوي صفر أظن + +688 +01:24:14,490 --> 01:24:20,710 +بتتحلل هذه يا بنات بتتحلل ما فيش مشكلة يبقى هذا جوز + +689 +01:24:20,710 --> 01:24:28,310 +هذا جوز ثاني بده يساوي صفر هنا R هنا R هنا 1 هنا + +690 +01:24:28,310 --> 01:24:35,070 +3 هنا زائد هنا زائد يبقى ZR زائد ثلاثة R زائد + +691 +01:24:35,070 --> 01:24:42,510 +أربعة R ومنها الـ R بدها تساوي سالب واحد و الـ R بدها + +692 +01:24:42,510 --> 01:24:48,650 +تساوي سالب ثلاثة real and different يبقى باجي + +693 +01:24:48,650 --> 01:24:54,450 +بقول له the general solution + +694 +01:24:57,010 --> 01:25:09,550 +Y تساوي C1 E أس ناقص T زائد C2 E أس ناقص ثلاثة T طيب + +695 +01:25:09,550 --> 01:25:12,650 +ما عطيني الـ initial conditions الـ initial + +696 +01:25:12,650 --> 01:25:19,030 +conditions فائدتهم إن أقدر أجيب قيمة C1 و قيمة C2 + +697 +01:25:19,030 --> 01:25:23,610 +طب موجودة الـ Y و موجودة Y prime إذا خليني أشتقها و + +698 +01:25:23,610 --> 01:25:29,150 +بعدين بنعوض يبقى لو روحنا اشتقينا هذه ما نتج بصير Y' + +699 +01:25:29,810 --> 01:25:40,410 +يساوي ناقص C1 E أس ناقص T ناقص ثلاثة C2 E أس ناقص + +700 +01:25:40,410 --> 01:25:46,610 +ثلاثة T الـ exponential زي ما هي ضرب مشتقة الأس + +701 +01:25:46,610 --> 01:25:53,410 +تمام نيجي للـ initial condition الأول يبقى الـ + +702 +01:25:53,410 --> 01:25:57,150 +initial condition الأول بيقول لي y عند zero بده + +703 +01:25:57,150 --> 01:26:04,390 +يساوي كدهش لـ اثنين يبقى هذا بده يعطينا لـ اثنين بدها + +704 +01:26:04,390 --> 01:26:12,230 +تساوي c1 زائد c2 لإنه e of zero بواحد و e of zero + +705 +01:26:12,230 --> 01:26:16,370 +بواحد نيجي الـ condition الثاني يقول لي y prime عند + +706 +01:26:16,370 --> 01:26:24,810 +zero بقدهش سالب واحد بده يساوي حط zero بصير سالب C1 + +707 +01:26:24,810 --> 01:26:31,990 +سالب ثلاثة C2 شو رأيك نجمع؟ طب لو جمعنا هدول مع + +708 +01:26:31,990 --> 01:26:40,950 +السلامة بضل عندي واحد يساوي النقص اثنين C2 يبقى C2 + +709 +01:26:40,950 --> 01:26:49,020 +يساوي سالب نصف إذا جبنا C2، لما جبنا C2، مين + +710 +01:26:49,020 --> 01:26:54,460 +ضايل علينا؟ C1، روح أعوض في أي من المعادلة الثانية، + +711 +01:26:54,460 --> 01:26:59,480 +الأسهل لمين؟ للمعادلة الأولى، فبعدي بقول المعادلة + +712 +01:26:59,480 --> 01:27:09,830 +الأولى على الشكل التالي تساوي C واحد ناقص نصف هذا + +713 +01:27:09,830 --> 01:27:17,230 +يعني إن C واحد بده يساوي كدهش اثنين ونصف يعني + +714 +01:27:17,230 --> 01:27:25,650 +خمسة على اثنين إذا صار solution is + +715 +01:27:26,860 --> 01:27:38,160 +هي الـ Y تساوي C1 خمسة على اثنين E أس ناقص T الآن + +716 +01:27:38,160 --> 01:27:47,760 +C2 اللي هو ناقص نصف E أس ناقص ثلاثة T أحد فيكم أي + +717 +01:27:47,760 --> 01:27:52,020 +تساؤل هنا أي + +718 +01:27:52,020 --> 01:27:59,780 +تساؤل طيب بروح لنمرأ بيه من المثال نمرأ بيه برضه + +719 +01:27:59,780 --> 01:28:14,220 +let Y تساوي E أس RT بيه solution of equation 2 من + +720 +01:28:14,220 --> 01:28:18,340 +اللي بتحكي؟ اه + +721 +01:28:18,340 --> 01:28:24,670 +يبقى يقول لنا من بدأ تسأل؟ طيب قولوا أنت ناسيين اه هذه + +722 +01:28:24,670 --> 01:28:31,030 +بدري عليها شوية إذا هذا جانبين له شكل الحل تبع + +723 +01:28:31,030 --> 01:28:36,910 +المعادلة هذه يبقى هذه بقدر أكتبها بنات خمسة على + +724 +01:28:36,910 --> 01:28:44,610 +اثنين E أس T ناقص واحد على اثنين E أس ثلاثة T + +725 +01:28:45,770 --> 01:28:51,350 +المطلب الثاني من السؤال قال لي وصف لي سلوك الحل لما + +726 +01:28:51,350 --> 01:28:55,930 +T increases increases يعني وين بدها تروح يعني + +727 +01:28:55,930 --> 01:28:59,610 +معناه كأني بقول لك خد الـ limit لما T بدها تروح لما + +728 +01:28:59,610 --> 01:29:06,050 +لا نهاية إذا بروح بقول له limit الـ Y لما T بدها تروح + +729 +01:29:06,050 --> 01:29:10,690 +لـ infinity بده يساوي limit لما T بدها تروح لـ + +730 +01:29:10,690 --> 01:29:17,410 +infinity لخمس على اثنين E أس T ناقص واحد على + +731 +01:29:17,410 --> 01:29:23,550 +اثنين E أس ثلاثة T لما T بدها تروح لـ المقام هذا + +732 +01:29:23,550 --> 01:29:24,850 +كله بقداش؟ + +733 +01:29:47,770 --> 01:29:53,390 +يبقى هذا إجابة الشطر الثاني من السؤال ننتقل الآن + +734 +01:29:53,390 --> 01:29:54,730 +إلى نمرأ بيه + +735 +01:29:57,980 --> 01:30:03,040 +علي صوتك شوية والله + +736 +01:30:03,040 --> 01:30:08,700 +ما أنا فاهم شو أقول الـ missing مالها؟ في أن هنا + +737 +01:30:08,700 --> 01:30:13,520 +missing و أن هي المعادلة هذه المعادلة بتقدر + +738 +01:30:13,520 --> 01:30:19,420 +تعتبريها function with T missing تمام؟ اللي الصعبة + +739 +01:30:19,420 --> 01:30:23,210 +مش السهلة نجرب يا عزيزي إذا بتقدري اهلا و اهلا + +740 +01:30:23,210 --> 01:30:28,370 +بتقدريش أنت حر لا بتقدري من حقك اه من حقك نسأل و + +741 +01:30:28,370 --> 01:30:32,530 +هذا سؤال عادي جدا equation with T missing بس مين + +742 +01:30:32,530 --> 01:30:36,650 +أسهل هذي ولا الـ T missing هذي أسهل كتير يبقى أنا + +743 +01:30:36,650 --> 01:30:40,830 +كنت بحل بتلك الطريقة اللي ما كنت بعرفش اثنين هذي + +744 +01:30:40,830 --> 01:30:45,030 +linear يعني السهلة يعني الـ T missing أو الـ Y + +745 +01:30:45,030 --> 01:30:48,590 +missing بيعطيك function ما هيش linear يعني مكلقة + +746 +01:30:48,590 --> 01:30:52,970 +عشوائية هيك تمام وأنت بدك تروح تحليها بس هو بيقولش + +747 +01:30:52,970 --> 01:30:56,050 +لك ليه T missing ولا Y missing بيخليك لحالك و + +748 +01:30:56,050 --> 01:31:01,850 +يشتغل اللي بدك إياه في أحد بتسأل ثاني؟ طيب ننتقل الآن + +749 +01:31:01,850 --> 01:31:07,510 +إلى نمرأ بيه يبقى باجي بقول له little y تساوي E أس + +750 +01:31:07,510 --> 01:31:17,690 +RT a solution of the differential + +751 +01:31:32,170 --> 01:31:39,610 +بنجي على المعادلة الثانية هاي أربعة أربعة ناقص كذا + +752 +01:31:39,610 --> 01:31:47,490 +شبناها ناقص واحد يساوي صفر هذا سيعطيك إن R تربيع + +753 +01:31:47,490 --> 01:31:54,890 +تساوي قداش؟ يعني هذا سيعطيك إن R تساوي زائد أو ناقص + +754 +01:31:54,890 --> 01:32:01,750 +نصف تمام؟ يعني في عندي كم إجابة؟ إجابتين و اثنين are + +755 +01:32:01,750 --> 01:32:08,250 +real and different واحد نصف و الثاني سالب نصف يبقى + +756 +01:32:08,250 --> 01:32:14,690 +باجي بقول له the general solution is + +757 +01:32:26,690 --> 01:32:36,150 +اللي هو Y يساوي C1 في E أس T على 2 زائد C2 في E أس + +758 +01:32:36,150 --> 01:32:45,350 +ناقص T على 2 يبقى هذا هو من الحل بنروح ندور على مين؟ + +759 +01:32:45,350 --> 01:32:54,450 +على C1 و C2 إذا خلينا نشتق بالمرة يبقى Y' يساوي نصف + +760 +01:32:54,450 --> 01:33:06,210 +C1 E أس T على 2 ناقص نصف C2 E أس ناقص T على 2 نمسك الـ + +761 +01:33:06,210 --> 01:33:11,110 +condition الأول الـ condition الأول بيقول لي why عند + +762 +01:33:11,110 --> 01:33:20,170 +السالب اثنين يساوي واحد إذا واحد بده يساوي سي واحد + +763 +01:33:20,170 --> 01:33:26,930 +ده حط هنا سالب اثنين بصير إيه؟ السالب واحد يبقى إيه؟ + +764 +01:33:26,930 --> 01:33:35,070 +السالب واحد زائد سي اثنين سالب اثنين مع سالب بيصير + +765 +01:33:35,070 --> 01:33:42,590 +موجبة اثنين يبقى فقط لا غير هذا الـ condition + +766 +01:33:42,590 --> 01:33:48,590 +الأول condition الثاني بيقول لي y prime عند السالب + +767 +01:33:48,590 --> 01:33:57,330 +اثنين يساوي قداش؟ يساوي السالب واحد هذا بده يعطينا إن + +768 +01:33:57,330 --> 01:34:09,130 +السالب واحد يساوي هذا نصف هذا C و C واحد نصف C واحد في + +769 +01:34:09,130 --> 01:34:20,590 +E أس سالب واحد وهنا ناقص نصف وهنا C اثنين في E أس + +770 +01:34:20,590 --> 01:34:30,350 +واحد يعني إيه؟ دوري شو رأيك نتخلص من أنصاص هذه لو + +771 +01:34:30,350 --> 01:34:37,520 +ضربنا في اثنين كويس؟ و الله بدنا نضرب في ناقص اثنين + +772 +01:34:37,520 --> 01:34:44,780 +حتى نختصر بالمرة هذه بده أخليها زي ما هي هذه ها + +773 +01:34:44,780 --> 01:34:50,140 +بده أنزلها زي ما هي هذه مش فيها كسور واحد يساوي C + +774 +01:34:50,140 --> 01:34:55,360 +واحد في E أس ناقص واحد زائد C اثنين E هذه بده + +775 +01:34:55,360 --> 01:35:00,900 +أضربها في سالب اثنين إيش بصير؟ موجبة اثنين يساوي + +776 +01:35:00,900 --> 01:35:09,760 +السالب C1 E أس السالب واحد السالب بصير موجب C2 E لو + +777 +01:35:09,760 --> 01:35:18,460 +جمعنا بروحوا هدول مع بعض وهذا بدي يطلع لي إنه 2C2E + +778 +01:35:18,460 --> 01:35:27,100 +بدي يساوي قداش؟ يساوي ثلاثة يبقى ومنها C2 يساوي + +779 +01:35:27,100 --> 01:35:35,460 +ثلاثة على اثنين E أس السالب واحد هذا + +780 +01:35:35,460 --> 01:35:41,800 +جبنا من اللي هو الـ C2 بدنا نروح نجيب C1 بنرجع + +781 +01:35:41,800 --> 01:35:45,040 +نعوض في المعادلة هذه خليني أكتب هذا فوق + +782 +01:36:04,110 --> 01:36:09,610 +طيب الآن بدي أمسك المعلومة اللي حصلت عليها هذه هيك + +783 +01:36:09,610 --> 01:36:16,150 +وأعوضها في المعادلة الأولى يعني ماشي بصير عندي + +784 +01:36:16,150 --> 01:36:27,070 +واحد يساوي C واحد في E أس سالب واحد واحد في C واحد E + +785 +01:36:27,070 --> 01:36:32,050 +أس سالب واحد الآن C اثنين بثلاثة على اثنين E أس سالب + +786 +01:36:32,050 --> 01:36:40,830 +واحد زائد ثلاثة على اثنين E أس سالب واحد في الـ E يبقى + +787 +01:36:40,830 --> 01:36:46,490 +هذه و هذه بروح الله سهل عليهم بصير إن C واحد E + +788 +01:36:46,490 --> 01:36:51,690 +أس سالب واحد يساوي بدون ثلاثة على اثنين يعني واحد و + +789 +01:36:51,690 --> 01:37:00,150 +نصف بجيب يصير ناقص نصف ناقص نصف أضرب كله في E بصير C1 + +790 +01:37:00,150 --> 01:37:09,690 +C1 بده يساوي سالب نصف E تمام؟ إذا أصبح الحل على + +791 +01:37:09,690 --> 01:37:20,180 +الشكل التالي يبقى ده solution is y تساوي Y تساوي C + +792 +01:37:20,180 --> 01:37:30,580 +واحد اللي يبقى داخل ناقص نصف E ناقص نصف E في E أس T + +793 +01:37:30,580 --> 01:37:38,590 +على اثنين زائد C اثنين بالموجبة أظن زائد ثلاثة على + +794 +01:37:38,590 --> 01:37:44,610 +اثنين E أس السالب واحد ثلاثة على اثنين E أس السالب + +795 +01:37:44,610 --> 01:37:53,900 +واحد في قداش؟ في E أس السالب T على اثنين يا بتخليها زي + +796 +01:37:53,900 --> 01:37:58,660 +ما هي يا بدك تخليها أي واحدة ما عندناش مشكلة تقدر + +797 +01:37:58,660 --> 01:38:06,400 +تقولي هذا الكلام يساوي الناقص نصف وهذه E أس T على + +798 +01:38:06,400 --> 01:38:13,480 +اثنين زائد واحد وهنا زائد ثلاثة على اثنين + +799 +01:38:22,080 --> 01:38:29,060 +بشكل مخالف يبقى هذا شكل الحل الـ initial value + +800 +01:38:29,060 --> 01:38:34,800 +problem لا يزال عن المزيد من الأمثلة بدل المثال + +801 +01:38:34,800 --> 01:38:40,810 +اثنين حاجة بتسأل؟ اه ظل عندنا بس شغلة الشغلة بده نشوف + +802 +01:38:40,810 --> 01:38:46,560 +كيف سلوك الحل هذا لما T بدها تروح للمال لا نهاية يبقى + +803 +01:38:46,560 --> 01:38:52,620 +بتروح أخذ الـ limit لما T بدها تروح للمال لا نهاية لـ Y + +804 +01:38:52,620 --> 01:38:59,380 +يبقى limit لما T بدها تروح للمال لا نهاية لمن؟ لـ ناقص + +805 +01:38:59,380 --> 01:39:06,080 +نصف E أس T على اثنين زائد واحد زائد ثلاثة على اثنين + +806 +01:39:06,080 --> 01:39:11,940 +E أس ناقص T على اثنين زائد واحد لما T بدها تروح + +807 +01:39:11,940 --> 01:39:16,150 +للمال لا نهاية الـ term هذا كله بقداش؟ بمنها صفر لإن + +808 +01:39:16,150 --> 01:39:20,710 +هذا بنزل تحت بصير عدد على مال لا نهاية بصفر لكن هذا + +809 +01:39:20,710 --> 01:39:27,470 +كده؟ سالب مال لا نهاية هي السالب برا وهذا مال لا نهاية + +810 +01:39:27,470 --> 01:39:33,830 +هذا سالب مال لا نهاية زائد صفر فباجي بقول the + +811 +01:39:33,830 --> 01:39:35,010 +solution + +812 +01:39:46,980 --> 01:39:52,520 +يبقى بنقول لا يزال هناك المزيد من الأمثلة للمرة + +813 +01:39:52,520 --> 01:39:56,200 +القادمة إن شاء الله تعالى، أعطيكم العافية diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/PY1U7lboILA.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/PY1U7lboILA.srt new file mode 100644 index 0000000000000000000000000000000000000000..d76e7be21f3c0d314e6a594be2afb1a0f4abbbe6 --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/PY1U7lboILA.srt @@ -0,0 +1,2784 @@ +1 +00:00:09,580 --> 00:00:15,820 +بسم الله الرحمن الرحيم المرة الماضية كنا نتحدث في + +2 +00:00:15,820 --> 00:00:20,460 +chapter 3 عن الـ second order differential equation + +3 +00:00:20,460 --> 00:00:25,060 +وجزّأناها إلى جزئين: الـ homogeneous linear + +4 +00:00:25,060 --> 00:00:29,160 +differential equation والـ Non-homogeneous linear + +5 +00:00:29,160 --> 00:00:33,720 +differential equation ودرسنا الاثنتين كل واحدة فيهم + +6 +00:00:33,720 --> 00:00:38,320 +على حدة وعرفنا أن حل الـ Non-homogeneous يعتمد على + +7 +00:00:38,320 --> 00:00:41,240 +حل الـ homogeneous differential equation + +8 +00:00:41,240 --> 00:00:46,220 +Chapter 4 اللي بين أيدينا هو تعميم لـ Chapter 3 + +9 +00:00:46,220 --> 00:00:50,880 +يعني ما فيه فيه معلومات جديدة ولذلك سنحاول أن نختصر + +10 +00:00:50,880 --> 00:00:55,540 +بقدر الإمكان، ما بنعش نمشي بالتفصيل اللي مشينا فيه في + +11 +00:00:55,540 --> 00:01:01,340 +chapter 3، وإنما سنختصر بحيث يكون نأتي بالزبدة أو + +12 +00:01:01,340 --> 00:01:05,660 +الفائدة من هذا الـ chapter. لذلك شرط الرابعة بيقول لي + +13 +00:01:05,660 --> 00:01:09,440 +higher order linear differential equation يعني + +14 +00:01:09,440 --> 00:01:14,300 +المعادلة التفاضلية الخطية من الرتب العليا أو من + +15 +00:01:14,300 --> 00:01:18,660 +الرتب العليا يعني إيش؟ يعني رتبة الثالثة الرابعة + +16 +00:01:18,660 --> 00:01:23,620 +الخامسة السادسة السابعة الثامنة، الآخريات يعني انسى + +17 +00:01:23,620 --> 00:01:27,840 +الاثنتين بعد اثنين فما فوق، من الرتبة الثالثة فما + +18 +00:01:27,840 --> 00:01:32,790 +فوق. أول section يعتبر إزاي مقدمة لهذا الشرط، يعني + +19 +00:01:32,790 --> 00:01:37,750 +بيجيب لي بعض المعلومات الأساسية اللازمة للدراسة + +20 +00:01:37,750 --> 00:01:42,690 +فيما بعد. فجالي الـ general theory النظرية العامة of + +21 +00:01:42,690 --> 00:01:45,250 +the nth order linear differential equation + +22 +00:01:45,250 --> 00:01:50,710 +للمعادلة التفاضلية من الرتبة النونية nth order + +23 +00:01:50,710 --> 00:01:56,900 +يبقى الرتبة النونية رتبة الرقم n، إن قد إيش الله علم + +24 +00:01:56,900 --> 00:02:04,500 +ثلاثة ماشي أربعة ماشي خمسة ماشي إلى آخره. الآن نجي + +25 +00:02:04,500 --> 00:02:09,240 +لأول تعريف عندنا هنا بيقول لي an nth order linear + +26 +00:02:09,240 --> 00:02:12,240 +differential equation is an equation in the form + +27 +00:02:12,740 --> 00:02:18,880 +يبقى الشكل العام لهذه المعادلة y to the، مش أس، in + +28 +00:02:18,880 --> 00:02:22,920 +هذه المعادلة لأ، y to the derivative n، يعني هذا + +29 +00:02:22,920 --> 00:02:27,260 +رمز يدل على المشتقة النونية. لما هحط رقم وبين قوسين + +30 +00:02:27,260 --> 00:02:31,800 +يبقى هذا معناته مشتقة. لكن ما فيش قوسين يبقى هذا + +31 +00:02:31,800 --> 00:02:37,120 +يعتبر أس. فبأجي بقول هذه y to the derivative n + +32 +00:02:37,120 --> 00:02:43,020 +زائد function في t، P1 of t في y to the derivative + +33 +00:02:43,020 --> 00:02:48,180 +of n minus one زائد P2 of t برضه function of y to + +34 +00:02:48,180 --> 00:02:51,840 +the derivative of n minus two زائد زائد زائد زائد + +35 +00:02:51,840 --> 00:02:58,260 +زائد زائد زائد + +36 +00:02:58,260 --> 00:02:58,880 +زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد + +37 +00:02:58,880 --> 00:02:58,900 +زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد + +38 +00:02:58,900 --> 00:02:59,000 +زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد + +39 +00:02:59,000 --> 00:02:59,220 +زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد + +40 +00:02:59,220 --> 00:02:59,300 +زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد + +41 +00:02:59,300 --> 00:03:03,290 +زائد زائد زائد زائد زائد زائد زائد زائد، بدأ يساوي + +42 +00:03:03,290 --> 00:03:08,970 +مين؟ G of t. يبقى هذه المعادلة اللي سايفينها بالتسلسل + +43 +00:03:08,970 --> 00:03:13,790 +بنزل مشتقة نونية، الناقص واحد، الناقص اثنين، الناقص + +44 +00:03:13,790 --> 00:03:17,430 +ثلاثة، لغاية نص المشتقة الثانية، المشتقة الأولى، y + +45 +00:03:17,430 --> 00:03:24,190 +بدون مشتقة، يساوي مين؟ يساوي G of t. بقول لك هنا دراسة + +46 +00:03:24,190 --> 00:03:29,970 +المعادلة واحد تشبه دراسة من الـ second order linear + +47 +00:03:29,970 --> 00:03:34,820 +differential equation. يعني دراسة المعادلة دي تمامًا + +48 +00:03:34,820 --> 00:03:39,300 +مثل دراسة من دراسة اللي هو second order + +49 +00:03:39,300 --> 00:03:43,830 +differential equation ذاتي، بدنا نذكر تذكير. فبأجي + +50 +00:03:43,830 --> 00:03:48,850 +بقول لو كان y1 و y2 و y3 لغاية yn are linearly + +51 +00:03:48,850 --> 00:03:52,750 +independent solutions of the homogeneous + +52 +00:03:52,750 --> 00:03:56,350 +differential equation اللي عندنا دي، بأجي الشكل الـ + +53 +00:03:56,350 --> 00:04:01,610 +general solution لهذه المعادلة، كنا بنديله رمز c في + +54 +00:04:01,610 --> 00:04:05,490 +الـ second order. بأجي أنا جينا نقول yc تساوي c1 و y1 + +55 +00:04:05,490 --> 00:04:12,720 +زي c2 و y2. هنا عندنا n من الـ solutions، يبقى بأجي + +56 +00:04:12,720 --> 00:04:18,280 +يقول c1 y1 زي الـ c2 y2، ويظل ماشي لغاية cn yn. والـ + +57 +00:04:18,280 --> 00:04:23,520 +c هذول كله ما لهم ثابت تمام. يبقى لو عندي + +58 +00:04:23,520 --> 00:04:27,160 +linearly independent solutions بهذا الشكل، بدي يكون + +59 +00:04:27,160 --> 00:04:31,360 +الـ fundamental set of solutions أو الـ general + +60 +00:04:31,360 --> 00:04:36,280 +solution للمعادلة، عالمين على الشكل اللي عندنا هذا + +61 +00:04:36,280 --> 00:04:42,950 +بعد احتياط الأخرى. لو أخدت الـ Wronskian لمين؟ لكل الحلول هذه + +62 +00:04:42,950 --> 00:04:47,250 +as a function of t، كتبته بالشكل هذا أو بالشكل هذا + +63 +00:04:47,250 --> 00:04:51,630 +و لاجئت أن الـ Wronskian، الهدف منه، ما يساوي zero + +64 +00:04:51,630 --> 00:04:56,170 +أوتوماتيكي، يبقى الـ general solution نفس اللي عندنا + +65 +00:04:56,170 --> 00:04:59,390 +هناك اللي هو الشكل اللي عندنا هذا وطبعًا في الـ + +66 +00:04:59,390 --> 00:05:06,020 +second order قلنا في أربع شغلات بتكافئ بعض، مجموعة + +67 +00:05:06,020 --> 00:05:09,360 +الحل اللي بتكون لي fundamental set، هنا بقول مجموعة + +68 +00:05:09,360 --> 00:05:14,400 +الحلول اللي بتكون لي fundamental set of solutions أو + +69 +00:05:14,400 --> 00:05:17,820 +بيجيب لي الـ general solution أو الـ Wronskian عندها + +70 +00:05:17,820 --> 00:05:22,500 +نقطة ما يساوي لا يساوي zero أو الـ Wronskian كان على كل الـ + +71 +00:05:22,500 --> 00:05:27,740 +interval ما له لا يساوي zero. يبقى هيه يبقى بيكون + +72 +00:05:27,740 --> 00:05:32,460 +شكل الحل على الصيغة اللي عندنا هذه. أخذنا كمان في + +73 +00:05:32,460 --> 00:05:39,520 +حالة الـ second order إيجاد صيغة أخرى لقيمة + +74 +00:05:39,520 --> 00:05:43,580 +الـ Wronskian باستخدام Abel theorem، Abel theorem في + +75 +00:05:43,580 --> 00:05:49,920 +حالة مجموعة من الحلول بنفس الطريقة، بأجي بقول الـ + +76 +00:05:49,920 --> 00:05:53,620 +Wronskian تبع الـ y1 لغاية الـ yN as a function of t + +77 +00:05:53,620 --> 00:06:00,160 +هو كونستانت في أس سالب تكامل p1 of t dt. مين هو الـ p1 + +78 +00:06:00,160 --> 00:06:06,590 +of t؟ يبقى هو المعامل تبع y to the derivative n + +79 +00:06:06,590 --> 00:06:11,170 +minus one، وبشرط أن يكون معامل y to the derivative + +80 +00:06:11,170 --> 00:06:16,410 +n هو واحد، يعني لو ما كانش واحد، عاصيني بدي أجبر على هذا + +81 +00:06:16,410 --> 00:06:20,490 +المعامل وهذا خليه واحد صحيح. وبالتالي p1 of t بتأخذ + +82 +00:06:20,490 --> 00:06:24,710 +شكل غير الشكل اللي ظهرت فيه لأول مرة. يبقى بناء + +83 +00:06:24,710 --> 00:06:29,450 +عليه ههه بدي يكون p1 هو المعامل تبع y to the + +84 +00:06:29,450 --> 00:06:33,770 +derivative n minus one وفي نفس الوقت المعامل تبع yn + +85 +00:06:33,770 --> 00:06:39,330 +يجب أن يكون واحد صحيح. بعد ذلك هذه نظرية أخذناها + +86 +00:06:39,330 --> 00:06:42,570 +كمان في الـ second order أنه لو عند الـ particular + +87 +00:06:42,570 --> 00:06:45,750 +solution للـ non homogeneous differential equation + +88 +00:06:45,750 --> 00:06:49,490 +وعند الـ general solution للـ homogeneous + +89 +00:06:49,490 --> 00:06:53,270 +differential equation، أجمع الاثنين بيعطيني الـ + +90 +00:06:53,270 --> 00:06:57,580 +general solution العام للـ second order linear + +91 +00:06:57,580 --> 00:07:00,300 +differential equation. هذه في حالة الـ second نفس + +92 +00:07:00,300 --> 00:07:04,740 +الكلام في حالة الـ nth order، فلو كان YT هو + +93 +00:07:04,740 --> 00:07:08,640 +الـ particular solution للـ differential equation + +94 +00:07:08,640 --> 00:07:14,420 +one، وكان YC اللي حاكيين عليه هذا هو الـ general + +95 +00:07:14,420 --> 00:07:17,580 +solution للـ homogeneous differential equation، إذا + +96 +00:07:17,580 --> 00:07:23,670 +لو جمعنا الاثنين هذول بيعطيني الـ general solution + +97 +00:07:23,670 --> 00:07:30,830 +لمين؟ للمعادلة رقم واحد. يعني كأن y بده يساوي c1 y1 + +98 +00:07:30,830 --> 00:07:39,810 +c2 y2 زائد cn yn زائد الـ particular solution YT + +99 +00:07:39,810 --> 00:07:47,010 +of t. أكثر من هذا الكلمتين اللي قدامك اللي أحب أ ناش + +100 +00:07:47,010 --> 00:07:51,750 +من الجزء النظري التابع لهذا الـ section، حد بتحب تسأل + +101 +00:07:51,750 --> 00:07:59,270 +ليه سؤال هنا قبل أن ندخل إلى الأمثلة، حد + +102 +00:07:59,270 --> 00:08:06,130 +بتحب تسأل ليه سؤال؟ طيب + +103 +00:08:06,130 --> 00:08:10,370 +نأتي إلى الأمثلة، هذه هي هي ورا + +104 +00:08:13,470 --> 00:08:18,730 +اللي ما كتبتش اسمها يا بنات تكتب اسمها، يبقى بأننا + +105 +00:08:18,730 --> 00:08:27,730 +نجي للأمثلة examples المثال + +106 +00:08:27,730 --> 00:08:37,190 +الأول بيقول determine the intervals، determine the + +107 +00:08:37,190 --> 00:08:40,030 +intervals + +108 +00:08:43,280 --> 00:08:51,500 +in which solutions + +109 +00:08:51,500 --> 00:08:54,920 +are + +110 +00:08:54,920 --> 00:09:01,440 +sure to exist + +111 +00:09:09,890 --> 00:09:18,990 +بيقول لي x ناقص واحد y to the derivative four زائد + +112 +00:09:18,990 --> 00:09:26,210 +x زائد واحد y to the derivative two، المشتقة + +113 +00:09:26,210 --> 00:09:35,670 +الثانية زائد تان الـ x كلها في y بده تساوي زيرو + +114 +00:09:59,380 --> 00:10:04,980 +سؤال مرة ثانية بيقول حدد الفترات اللي الحل عليها + +115 +00:10:04,980 --> 00:10:10,580 +sure بتأكيد to exist يعني موجود على هذه الفترة + +116 +00:10:10,580 --> 00:10:14,460 +احنا لما كنا نقول المعامل هو رقم واحد، بأجي أنا + +117 +00:10:14,460 --> 00:10:19,800 +أفترض أن المعاملات هي دوال متصلة، مظبوط؟ إذا أنا + +118 +00:10:19,800 --> 00:10:24,740 +بدي أشوف شكل المعاملات وأكتشف أن هذه دوال متصلة + +119 +00:10:24,740 --> 00:10:30,720 +فبأجي الحل كالتالي solution، يبقى المعادلة اللي عندي + +120 +00:10:30,720 --> 00:10:38,920 +بدي أكتبها بشكل جديد، y to the derivative 4 زائد x + +121 +00:10:38,920 --> 00:10:45,760 +زائد 1 على x ناقص 1 في y to the derivative 2 + +122 +00:10:45,760 --> 00:10:54,300 +المشتقة الثانية زائد تان الـ x على مين؟ على x ناقص 1 + +123 +00:10:54,300 --> 00:11:05,070 +كله في y يساوي 0. الأول لو جئت للـ p1 of t، p1 of x + +124 +00:11:05,070 --> 00:11:12,310 +اليمين يا بنات، x زائد 1 على x ناقص 1. الـ + +125 +00:11:12,310 --> 00:11:17,990 +discontinuity حصل وين؟ عند الواحد. يبقى هذه is + +126 +00:11:17,990 --> 00:11:22,270 +discontinuous + +127 +00:11:22,270 --> 00:11:32,440 +at x يساوي واحد، تمام؟ نجي للثانية اللي بعديها، p2 of + +128 +00:11:32,440 --> 00:11:40,400 +x اللي هي تان الـ x على مين؟ على x is discontinuous + +129 +00:11:40,400 --> 00:11:47,780 +at x يساوي. الـ discontinuity حصل وين؟ عند الواحد بس. + +130 +00:11:47,780 --> 00:11:53,020 +بأجي للتان الـ x وأكتشف الـ discontinuity للتان x + +131 +00:11:53,020 --> 00:11:58,820 +عند مين؟ عند باي على اثنين وسالب باي على اثنين، ثلاثة باي على + +132 +00:11:58,820 --> 00:12:02,040 +اثنين، سالب ثلاثة باي على اثنين، خمسة باي على + +133 +00:12:02,040 --> 00:12:06,580 +اثنين، سالب خمسة باي على اثنين، وهكذا نضل ماشيين + +134 +00:12:06,580 --> 00:12:16,780 +يبقى زائد أو ناقص n باي على اثنين، والـ n is odd + +135 +00:12:18,400 --> 00:12:21,980 +يعني باي على اثنين، ثلاثة باي على اثنين، خمسة باي على اثنين + +136 +00:12:21,980 --> 00:12:26,520 +سبعة باي على اثنين، إلى آخر يوم تمام؟ يبقى تعالوا لو + +137 +00:12:26,520 --> 00:12:32,440 +حطيت خط أُحدد هذه الفترات. لو جئت قلت هذا الـ real + +138 +00:12:32,440 --> 00:12:42,620 +line عندك هنا بتيجي لها سالب خمسة باي على + +139 +00:12:42,620 --> 00:12:49,230 +اثنين. بعدها بدها تجيكِ هنا سالب ثلاثة باي على اثنين + +140 +00:12:49,230 --> 00:12:56,290 +هنا بدها تجيكِ سالب باي على اثنين، هنا بدها تجيكِ + +141 +00:12:56,290 --> 00:13:03,530 +موجب باي على اثنين، هنا موجب ثلاثة باي على اثنين، ده + +142 +00:13:03,530 --> 00:13:10,850 +الماشيين موجب خمسة باي على اثنين and so on. نجي + +143 +00:13:10,850 --> 00:13:15,850 +للواحد نشوف وين موقع الواحد. بدي أجي للـ باي + +144 +00:13:15,850 --> 00:13:20,630 +قد إيش هي هنا؟ ثلاثة صحيح وأربعة عشر من مية، مظبوط؟ لو + +145 +00:13:20,630 --> 00:13:26,130 +ضربتها على اثنين بيطلع واحد ونص وكمان كسر بسيط + +146 +00:13:26,130 --> 00:13:31,850 +يعني تقريبًا واحد ونص، مظبوط، واحد ونص. يبقى الـ باي + +147 +00:13:31,850 --> 00:13:37,010 +على اثنين هدى قد إيش؟ واحد ونص. يبقى الواحد بدي أجي + +148 +00:13:37,010 --> 00:13:43,350 +وين حاطها؟ يبقى الواحد ممكن يجي هنا هذا الواحد. يبقى + +149 +00:13:43,350 --> 00:13:47,070 +النقاط اللي احنا راسمينهم دول هما نقاط الـ + +150 +00:13:47,070 --> 00:13:52,210 +discontinuity لل functions p1 و p2. إذا الدوال اللي + +151 +00:13:52,210 --> 00:13:56,890 +عندي هذا الدوال متصلة على كل real line ما عدا + +152 +00:13:56,890 --> 00:14:04,050 +الخطوط اللي عندنا. يبقى بأجي بقول له هنا the solution + +153 +00:14:04,050 --> 00:14:17,000 +exists on the intervals على الفترات من هنا جايين من + +154 +00:14:17,000 --> 00:14:23,620 +سالب infinity وصلنا لمين؟ لسالب خمسة باي على اثنين + +155 +00:14:23,620 --> 00:14:30,300 +وسالب ثلاثة باي على اثنين وبعدها سالب ثلاثة باي + +156 +00:14:30,300 --> 00:14:37,740 +على اثنين وسالب باي على اثنين وبعدها سالب باي على + +157 +00:14:37,740 --> 00:14:44,360 +اثنين، أجانب الطريق من؟ عندها بدي أوقف، يبقى واحد + +158 +00:14:44,360 --> 00:14:52,060 +وعندك كمان واحد ومين؟ وبأي على اثنين ونظل ماشيين + +159 +00:14:52,060 --> 00:14:59,400 +باي على اثنين وثلاثة باي على اثنين، ثلاثة باي على + +160 +00:14:59,400 --> 00:15:05,080 +اثنين وخمسة باي على اثنين ولسه ماشيين إلى ما شاء + +161 +00:15:05,080 --> 00:15:11,020 +الله تمام؟ يبقى هذا كله مين؟ هذا كله الـ interval + +162 +00:15:11,020 --> 00:15:15,820 +اللي اللي اللي اللي اللي اللي اللي اللي اللي + +163 +00:15:15,820 --> 00:15:16,160 +اللي اللي اللي اللي اللي اللي اللي اللي اللي + +164 +00:15:16,160 --> 00:15:17,000 +اللي اللي اللي اللي اللي اللي اللي اللي اللي + +165 +00:15:17,000 --> 00:15:17,680 +اللي اللي اللي اللي اللي اللي اللي اللي اللي + +166 +00:15:17,680 --> 00:15:17,720 +اللي اللي اللي اللي اللي اللي اللي اللي اللي + +167 +00:15:17,720 --> 00:15:17,880 +اللي اللي اللي اللي اللي اللي اللي اللي اللي + +168 +00:15:17,880 --> 00:15:17,940 +اللي اللي اللي اللي اللي اللي اللي اللي اللي + +169 +00:15:17,940 --> 00:15:22,840 +اللي اللي اللي اللي اللي اللي اللي اللي اللي + +170 +00:15:22,840 --> 00:15:27,320 +اللي اللي + +171 +00:15:27,320 --> 00:15:27,340 +اللي اللي اللي اللي اللي اللي اللي اللي اللي + +172 +00:15:27,340 --> 00:15:36,780 +اللي اللي اللي اللي اللي اللي + +173 +00:15:36,780 --> 00:15:48,020 +اللي. السؤال الثاني بيقول ما يأتي، determine whether + +174 +00:15:48,020 --> 00:15:51,720 +the + +175 +00:15:51,720 --> 00:15:58,260 +following set determine + +176 +00:15:58,260 --> 00:16:06,540 +the following set of functions are + +177 +00:16:07,440 --> 00:16:16,700 + +216 +00:20:04,060 --> 00:20:11,680 +أخذ ال runskin تبع ال F1 و F2 و F3 كله as a + +217 +00:20:11,680 --> 00:20:17,040 +function of T يبقى ما عليه إلا إيه إلا هات يحط + +218 +00:20:17,040 --> 00:20:22,120 +الدالة الأولى الدالة الأولى اللي هي لإتنين T ناقص + +219 +00:20:22,120 --> 00:20:29,140 +ثلاثة الدالة الثانية T تربيع زائد واحد الدالة + +220 +00:20:29,140 --> 00:20:36,480 +الثالثة اللي هي إتنين T تربيع ناقص T الآن بدي أبدأ + +221 +00:20:36,480 --> 00:20:40,720 +أشتقهم توجبلي شوية في الجزء النظري يا بنات لما + +222 +00:20:40,720 --> 00:20:45,610 +كتبنا المحدد كتبنا الصف الأول الصف الثاني اللي هو + +223 +00:20:45,610 --> 00:20:50,050 +المشتقة الأولى الصف الثالث المشتقة الثانية ضالين + +224 +00:20:50,050 --> 00:20:55,010 +المشي لغاية المشتقة النونية ناقص واحد، مظبوط؟ هدول + +225 +00:20:55,010 --> 00:20:58,910 +ثلاث دوال يبقى بيضل أناشي لغاية ما وصل المشتقة رقم + +226 +00:20:58,910 --> 00:21:05,110 +إتنين أقل من ال order اللي عندنا بمقدار واحد يبقى + +227 +00:21:05,110 --> 00:21:09,790 +... طب لو كانوا أربع دوال؟ بدي أصير عندي مش محدد + +228 +00:21:09,790 --> 00:21:14,030 +بثلاث صفوف و ثلاث أعمدة بدي + +229 +00:21:14,030 --> 00:21:20,930 +أصل لغاية المشتقة الثالثة وهكذا فبدنا نشتق الدالة + +230 +00:21:20,930 --> 00:21:26,570 +الأولى بالنسبة ل T بقداش إتنين مشتقة هذه إتنين T + +231 +00:21:26,570 --> 00:21:32,590 +مشتقة هذه أربعة T ناقص واحد نشتق كمان مرة Zero + +232 +00:21:32,590 --> 00:21:39,880 +كمان مرة إتنين كمان مرة أربعة بدنا نعرف قداش قيمة + +233 +00:21:39,880 --> 00:21:45,000 +هذا المحدد يبقى هذا الكلام يساوي بدي أفكه باستخدام + +234 +00:21:45,000 --> 00:21:51,200 +عناصر الصف الأول والله أسهل لي باستخدام العمود + +235 +00:21:51,200 --> 00:21:57,700 +الأول ليش؟ لأن فيه صفر بفصل التلات، مظبوط؟ أو + +236 +00:21:57,700 --> 00:22:02,160 +باستخدام الصف الثالث، سيارة بتفرقش عنها، إذا خلينا + +237 +00:22:02,160 --> 00:22:08,020 +بالعمود الأول يبقى باجي بقوله إتنين إتنين ناقص ثلاثة + +238 +00:22:08,020 --> 00:22:13,340 +فيه بروح نشطه بصفه و عموده لناسيه اتفك المحدد هنا + +239 +00:22:13,340 --> 00:22:17,020 +اللي بذكركم بنجي للعنصر اللي عنده اللي هو العنصر + +240 +00:22:17,020 --> 00:22:22,370 +هذا و بنشطه بصف و عمود و بضال مين عندي المحدد + +241 +00:22:22,370 --> 00:22:26,870 +الأصغر هذا بدي أفكه حاصل ضرب عناصر القطر الرئيسي + +242 +00:22:26,870 --> 00:22:32,570 +ناقص حاصل ضرب عناصر القطر الثانوي حاصل ضرب عناصر + +243 +00:22:32,570 --> 00:22:41,340 +القطر الرئيسي ب 4 في 2 ب 8 T ناقص حاصل ضرب عناصر + +244 +00:22:41,340 --> 00:22:50,420 +القطر الثانوي يبقى ناقص ثمانيه زائد إتنين خلصنا + +245 +00:22:50,420 --> 00:22:55,140 +منه بالدالي للعواصر اللي بعده حسب قاعدة الإشارات + +246 +00:22:55,140 --> 00:23:05,090 +شرط هذا مالها سالب يبقى سالب إتنين في ايش ط بصفه و + +247 +00:23:05,090 --> 00:23:10,530 +عموده بيبقى المحدد هذا أربعة في T تربيع زائد واحد + +248 +00:23:10,530 --> 00:23:18,650 +يبقى أربعة T تربيع زائد أربعة ناقص أربعة T تربيع + +249 +00:23:18,650 --> 00:23:26,470 +زائد إتنين T تمام اللي بعده زائد صفر في محدده اللي + +250 +00:23:26,470 --> 00:23:31,830 +هو الصفر طيب نجي نشوفها أظن هذه وهذه مع السلامة + +251 +00:23:32,540 --> 00:23:36,540 +طيب غير مصوف عليهم بيظل إتنين بيضربها في قداش + +252 +00:23:36,540 --> 00:23:43,160 +أربعة تي ناقص ستة بالداجة لأن أربعة تي تربيع + +253 +00:23:43,160 --> 00:23:46,980 +بالموجة وأربعة تي تربيع بالسالب دول شاندي الا + +254 +00:23:46,980 --> 00:23:51,660 +أربعة زائد إتنين تي بيضربها في قداش ناقص إتنين + +255 +00:23:51,660 --> 00:24:01,500 +يبقى ناقص ثمانية ناقص أربعة تي ناقص 4T وزاد 4T مع + +256 +00:24:01,500 --> 00:24:08,220 +السلام وطلع الجواب جاهز ناقص 14 هذا الكلام ماله لا + +257 +00:24:08,220 --> 00:24:14,020 +يمكن أن يساوي 0 for all T مهما كان شكل ال T + +258 +00:24:35,720 --> 00:24:42,540 +خلصنا حل السؤال ولا لسه مطلوب ثاني؟ الله سبحانه و + +259 +00:24:42,540 --> 00:24:46,920 +تعالى بيقول لو كان linearly dependent بدي ال linear + +260 +00:24:46,920 --> 00:24:50,580 +combination يبقى هدول linearly independent لو ضربت + +261 +00:24:50,580 --> 00:24:52,920 +constant في الأول و constant في الثاني و constant + +262 +00:24:52,920 --> 00:24:57,860 +في الثاني كله بده يقلع بأصفار السيطاني إذا أنا + +263 +00:24:57,860 --> 00:25:02,040 +مطلوب الثاني الله ينطبق عالمين على هذا الجزء من + +264 +00:25:02,040 --> 00:25:07,380 +السؤال طيب فنروح لنمرة بيه اللي هو السؤال ثمانية + +265 +00:25:07,380 --> 00:25:16,380 +من الكتاب وراه مباشرة بقول إيش F1 of T بده يساوي + +266 +00:25:16,380 --> 00:25:26,460 +إتنين T ناقص ثلاثة نفس الدالة اللي فوق وال F2 of T + +267 +00:25:26,460 --> 00:25:34,440 +بده يساوي إتنين T ترابيع زائد واحد إتنين T ترابيع + +268 +00:25:34,440 --> 00:25:45,280 +زائد واحد وال F3 of T بده يساوي ثلاثة T تربيع زائد + +269 +00:25:45,280 --> 00:25:51,860 +T الآن قال لي شوف لي هدول linearly dependent ولا + +270 +00:25:51,860 --> 00:25:56,280 +linearly independent احنا هدول طلعنا مالهم + +271 +00:25:56,280 --> 00:26:01,000 +linearly independent يعني نتوقع هدول كمان يطلعوا + +272 +00:26:01,000 --> 00:26:07,690 +زيهم معناته أنا قاعد بكرر يبقى ... يبقى ... بمعناته + +273 +00:26:07,690 --> 00:26:10,970 +احنا قاعدين بنكرر الرسالة، يبقى المتوقع أن يكون + +274 +00:26:10,970 --> 00:26:16,010 +ماله linearly dependent، بس ما ينفعش هيك إلا أروح + +275 +00:26:16,010 --> 00:26:22,150 +أثبت هذا الكلام بإمكاني أثبت ذلك بأكثر من طريقة + +276 +00:26:22,150 --> 00:26:26,890 +إحدى الطرق زي اللي فات أجيب ال runskin تبعه و + +277 +00:26:26,890 --> 00:26:33,170 +أجيب يساوي 0 و يبقى linearly dependent طريقة ثانية + +278 +00:26:33,170 --> 00:26:36,970 +أني أقول كون ثابت في الأول و كون ثابت في الثاني + +279 +00:26:36,970 --> 00:26:39,710 +و كون ثابت في الثالث و أجمع و أساوي ب 0 و أروح + +280 +00:26:39,710 --> 00:26:44,210 +أجيب قيم سي واحد و سي إتنين و سي ثلاثة على الأقل + +281 +00:26:44,210 --> 00:26:50,490 +لازم نلاقي واحد فيهم لا يساوي ال zero طبعا طريقة + +282 +00:26:50,490 --> 00:26:55,030 +ثالثة تعتمد على دقة النظر عندك تعالي تطلعي كويس + +283 +00:26:55,030 --> 00:27:01,150 +أنا عندي ثلاث دوال إيش رأيكش لو جيت هنا T تربيع و + +284 +00:27:01,150 --> 00:27:06,010 +هنا T و هنا constant هادف إيش فيه أقل إنه جاب ال T + +285 +00:27:06,010 --> 00:27:11,840 +تربيع و T و كأنه هادي بتعتمد على مين؟ على الإتنين، + +286 +00:27:11,840 --> 00:27:17,000 +بس بتعتمد كيف أنا مش عارف، كويس؟ بنقولك كيف تعتمد، + +287 +00:27:17,000 --> 00:27:24,460 +الآن لو جيت قلت أنا كالتالي solution، بديش أسوي زي + +288 +00:27:24,460 --> 00:27:28,780 +قبل اللي هو المحدد اللي عندي، بدي أفكر بطريقة أخرى + +289 +00:27:29,190 --> 00:27:33,850 +باجي بقول هذه وهذه هذه فيها constant وهذه فيها + +290 +00:27:33,850 --> 00:27:39,790 +constant لكن هذه يبقى أنا لو فكرت تخلص من ال two + +291 +00:27:39,790 --> 00:27:46,630 +constants ممكن تبقى foraged مظبوط بقولها كيف تتخلص + +292 +00:27:46,630 --> 00:27:52,700 +بقولها ده سالب ثلاثة يبقى ممكن اضرب هذه في طولها + +293 +00:27:52,700 --> 00:27:56,700 +أجمع الإتنين يا بضرب هذه في ثلاثة و أجمع الإتنين + +294 +00:27:56,700 --> 00:28:01,580 +صحيح ولا لا بيكون الكون استنطار و يمكن أوصل لهذه + +295 +00:28:01,580 --> 00:28:06,020 +أو جربتها أو شغل من هذا القبيل طيب تعالوا نجرب + +296 +00:28:06,020 --> 00:28:14,970 +يبقى أنا لو جيت أخد F1 of T زائد ثلاثة F2 of T + +297 +00:28:41,100 --> 00:28:50,540 +زائد ثلاثة في إتنين بستة T تربيع زائد ثلاثة بقول I + +298 +00:28:50,540 --> 00:28:56,560 +سالب ثلاثة وزائد ثلاثة مع السلامة هذا الكلام يساوي + +299 +00:28:56,560 --> 00:29:04,070 +بقى اللي عندي ستة T تربيع زائد إتنين T في عامل + +300 +00:29:04,070 --> 00:29:10,150 +مشترك فيبا بينهم اه فيه اللي إتنين يبقى اي إتنين و اي + +301 +00:29:10,150 --> 00:29:19,030 +تي تك قداش إتنين هنا ثلاثة ثلاثة T تكيب زائد T + +302 +00:29:19,030 --> 00:29:25,350 +ثلاثة T تربيع زائد T ثلاثة T تربيع زائد T ثلاثة T + +303 +00:29:25,350 --> 00:29:26,830 +تربيع زائد T ثلاثة T تربيع زائد T ثلاثة T تربيع + +304 +00:29:26,830 --> 00:29:27,170 +ثلاثة T تربيع زائد T ثلاثة T تربيع زائد T ثلاثة T + +305 +00:29:27,170 --> 00:29:32,470 +ثلاثة T تربيع زائد T ثلاثة T تربيع + +306 +00:29:32,470 --> 00:29:40,680 +زائد T ثلاث صحيح ولا لأ؟ يبقى السيارة عندي F1 of T + +307 +00:29:40,680 --> 00:29:49,660 +زائد ثلاثة F2 of T ناقص إتنين F ثلاثة of T يشبه + +308 +00:29:49,660 --> 00:29:57,940 +قداش الآن هل المعاملات هدول أصفار؟ أصفار هدول؟ لأ + +309 +00:29:57,940 --> 00:30:02,900 +مدام مش أصفار يبقى هذا شو يعني أن هدول linearly + +310 +00:30:02,900 --> 00:30:07,900 +dependent وهيرناش اللي بديها يبقى أنا لما اشتغلت + +311 +00:30:07,900 --> 00:30:12,380 +بالطريقة دي ستة أصفار بحجر لو بدي أشغل زي قبل لسه + +312 +00:30:12,380 --> 00:30:14,840 +بدي أروح أحسب اللي هو ممكن و أثبت أنهم linearly + +313 +00:30:14,840 --> 00:30:18,890 +dependent وبعد هيك أروح أدور على علاقة هذه لكن + +314 +00:30:18,890 --> 00:30:24,090 +شغلي بهذه الطريقة تفكيري ست أصفار بحجر واحد و + +315 +00:30:24,090 --> 00:30:35,750 +بأقصر وقت ممكن يبقى هذا معناته أن ال F1 و F2 و F3 + +316 +00:30:35,750 --> 00:30:40,350 +are linearly dependent because + +317 +00:30:43,270 --> 00:30:51,430 +أن ال C1 بده يساوي واحد و C2 بده يساوي ثلاثة و C3 + +318 +00:30:51,430 --> 00:31:00,810 +بده يساوي سالب إتنين يبقى not zeros ماهي أصفار + +319 +00:31:00,810 --> 00:31:05,650 +يبقى هدول linearly dependent وهي ال relation اللي + +320 +00:31:05,650 --> 00:31:10,010 +بتربط المعادلات التلاتة هدول أو الدول التلاتة من + +321 +00:31:10,010 --> 00:31:15,310 +مين مع بعضهم البعض طبق للمطلوب الثاني المطلوب + +322 +00:31:15,310 --> 00:31:19,880 +الثاني قال find a linear relation among them هتلرّي + +323 +00:31:19,880 --> 00:31:24,180 +لإن الناس بتربطهم إن كانوا linearly dependent + +324 +00:31:24,180 --> 00:31:30,240 +واضحة الصورة يبقى هذا اختصرنا فيه الحل بدل نثبت + +325 +00:31:30,240 --> 00:31:34,860 +أنهم linearly dependent وروح أدور على هذه العلاقة + +326 +00:31:34,860 --> 00:31:38,120 +يبقى هذه العلاقة بيانات لإنهم linearly dependent + +327 +00:31:38,120 --> 00:31:43,920 +لإن الثوابت ماهي أصفار إتنين جبنا العلاقة اللي + +328 +00:31:43,920 --> 00:31:48,380 +عندناها دي وبالتالي صدنا أصفارين بحجر واحد + +329 +00:32:06,740 --> 00:32:12,340 +ناخد كمان مثال مثال + +330 +00:32:12,340 --> 00:32:22,020 +ثلاثة سؤال سبعتاشر من الكتاب بيقول show that بيني + +331 +00:32:22,020 --> 00:32:32,280 +أن رونسكين تبع الخمسة وال sign تربيع T و + +332 +00:32:32,280 --> 00:32:42,140 +cosine إتنين T بده يساوي zero for all T كمان مطلوب + +333 +00:32:42,140 --> 00:32:53,420 +can you establish this + +334 +00:32:53,420 --> 00:32:58,440 +result هذه + +335 +00:32:58,440 --> 00:33:00,680 +النتيجة without + +336 +00:33:13,420 --> 00:33:17,180 +Evolution of the runskin + +337 +00:34:02,470 --> 00:34:06,810 +السؤال مرة ثانية السؤال زي ما أنتم شايفين مطلبين + +338 +00:34:07,460 --> 00:34:10,340 +المطلوب الأول بيقول بيبين لي أن ال neurons can + +339 +00:34:10,340 --> 00:34:14,200 +remain للثلاث دوال هذول الخمسة وال sign تربيع T و + +340 +00:34:14,200 --> 00:34:18,220 +ال cosine إتنين T بده يساوي Zero يعني هذول + +341 +00:34:18,220 --> 00:34:25,420 +Linearly Dependent ما علينا بعدين المطلوب الثاني + +342 +00:34:25,420 --> 00:34:30,520 +بيقول Can you establish بتقدر تثبت لي هذه النتيجة + +343 +00:34:30,520 --> 00:34:36,920 +without direct evolution بدون حسابات مباشرة يعني + +344 +00:34:36,920 --> 00:34:41,220 +بدون ما تحطها المحدد وتروح تحسب اللي هو ال one + +345 +00:34:41,220 --> 00:34:46,220 +skin هذول أم لا تقول تعال نشوف مطلوب مطلوب نمشي + +346 +00:34:46,220 --> 00:34:49,900 +step by step دي أول شئ بدأت بتقول أن هذا الكلام + +347 +00:34:49,900 --> 00:34:57,940 +يساوي zero هذه الرنسة تتبع الخمسة وال sign تربيع تي + +348 +00:34:57,940 --> 00:35:04,480 +والكوساين إتنين تي تتبع المحدد هذه الخمسة وهذه + +349 +00:35:04,480 --> 00:35:12,960 +ال sign تربيع تي وهذه الكوساين إتنين تي نجيب الصفوف + +350 +00:35:12,960 --> 00:35:20,000 +الثانية في المحدد مشتقة الخمسة بقداش؟ مشتقة ال sign + +351 +00:35:20,000 --> 00:35:33,760 +تربيع حد بتعرف؟ كدهش؟ 2 sin t في cos t يعني 2 sin t + +352 +00:35:33,760 --> 00:35:40,160 +في cos t هذه يا بنات بقدر استبدلها ب sin 2t مش + +353 +00:35:40,160 --> 00:35:43,420 +هحصل إيه؟ هسلي في الحسابات لأن لو بده الشقة اللي + +354 +00:35:43,420 --> 00:35:47,730 +بقعد أفضل مشتقة تحصل ضرب اللي تاني هذا بتكبر + +355 +00:35:47,730 --> 00:35:52,510 +الموضوع طيب هذا الكوساين بيسالب sin فيه إتنين + +356 +00:35:52,510 --> 00:35:59,250 +يبقى سالب إتنين sin إتنين T الصف اللي بعده مشتقة + +357 +00:35:59,250 --> 00:36:06,170 +ال zero ب zero إتنين cosine إتنين T هذه كمان مرة + +358 +00:36:06,170 --> 00:36:13,960 +بسالب أربعة cosine إتنين T بدي أفك المحدد هذا و أشوف + +359 +00:36:13,960 --> 00:36:19,020 +كده شو ساوي بدي أفكه باستخدام عناصر العمود الأول + +360 +00:36:19,020 --> 00:36:24,820 +لأنه فيه أصفار بسهل الشغل يبقى باجي بقوله خمسة في + +361 +00:36:24,820 --> 00:36:33,460 +أشق بصفه و عموده بصير هذا اللي هو ناقص أربعة sign + +362 +00:36:33,460 --> 00:36:42,600 +إتنين T cos 2t هذا الرئيسي ناقص الثانوي ناقص مع + +363 +00:36:42,600 --> 00:36:52,200 +ناقص بيصير زائد أربعة sin 2t cos 2t بعدها zero في + +364 +00:36:52,200 --> 00:36:56,720 +محدده ب zero zero في محدده ب zero يبقى زائد zero + +365 +00:36:56,720 --> 00:37:02,000 +زائد zero طلع لي في ال term هذا وال term هذا نفسه + +366 +00:37:02,000 --> 00:37:06,470 +كل واحد بإشارة مخالفة يبقى عن الجامعة بطلع كمان + +367 +00:37:06,470 --> 00:37:13,270 +قداش Zero في خمسة Zero زائد Zero زائد Zero بطلع + +368 +00:37:13,270 --> 00:37:16,110 +قداش أظن وهو المطلوب + +369 +00:37:23,120 --> 00:37:27,860 +خلص المطلوب الأول المطلوب الثاني بيقول Can you + +370 +00:37:27,860 --> 00:37:32,940 +establish بتقدر تثبت أو توصل للنتيجة هذه بدون ما + +371 +00:37:32,940 --> 00:37:41,940 +تعمل حساباتك هذه أم لا الإجابة نعم موافقة يعني طيب + +372 +00:37:41,940 --> 00:37:42,980 +ماشي كيف؟ + +373 +00:37:50,490 --> 00:37:54,210 +طيب أنا بالحسابات بالنظر يعني كيف يعني؟ إنه دولة + +374 +00:37:54,210 --> 00:38:02,210 +ثالثة أكيد العمل الأول حكيم زي يعني أيوة حساب + +375 +00:38:02,210 --> 00:38:05,450 +مثلثات يا بنت الفكرة الموضوع حساب مثلث اه الحين + +376 +00:38:05,450 --> 00:38:09,970 +قطعين إتنين فيه دلوقتي واحد ناقص إتنين واحد ناقص + +377 +00:38:09,970 --> 00:38:16,850 +تايتلر بقى ماشي موافق واحد ناقص sin تربيع T يعني + +378 +00:38:16,850 --> 00:38:22,570 +باختصار sin تربيع T يساوي نص في واحد ناقص cosine + +379 +00:38:22,570 --> 00:38:28,430 +إتنين T صح؟ وبالتالي ممكن أجيب خلق الخمسة في + +380 +00:38:28,430 --> 00:38:33,350 +الموضوع وال cosine صارت موجودة يبقى بداجة للمطلوب + +381 +00:38:33,350 --> 00:38:40,710 +الثاني لو جيت قلت sin تربيع ال T يساوي النص في + +382 +00:38:40,710 --> 00:38:46,830 +واحد ناقص cosine إتنين T يبقى cosine إتنين T ظهرت + +383 +00:38:46,830 --> 00:38:51,530 +في العلاقة اللي عندها ذاك اللي مظهرت شمن الخامسة + +384 +00:38:51,530 --> 00:38:55,770 +طيب بدنا نخلق الخمسة في هذه العلاقة بقولك بسيطة + +385 +00:38:55,770 --> 00:39:05,190 +جدا هذه عبارة عن نص ناقص نص cosine إتنين T طب النص + +386 +00:39:05,1 + +431 +00:43:46,560 --> 00:43:52,380 +واحد على T تربيع في ال Y ثنائي شرطة ناقص أربعة + +432 +00:43:52,380 --> 00:43:58,240 +التي تربيع في ال Y بده يساوي من Zero يبقى الرمز + +433 +00:43:58,240 --> 00:44:03,720 +كان اللي بده إياه as a function of T وعبارة عن + +434 +00:44:03,720 --> 00:44:12,190 +كونستانت في أس ناقص تكامل P1 of T دي T مش كتبناها + +435 +00:44:12,190 --> 00:44:19,210 +قبل قليل؟ طيب تمام يبقى هذا الكلام بدي أساويه C في E + +436 +00:44:19,210 --> 00:44:27,860 +وصناعة تكامل P1 اللي هو واحد على T دي T ما أعطانيش + +437 +00:44:27,860 --> 00:44:32,780 +شروط على T لكن لو أعطاني أكبر من ال Zero ولا أقل + +438 +00:44:32,780 --> 00:44:38,080 +من ال Zero كانت خلاصنا من من من ال absolute value + +439 +00:44:38,080 --> 00:44:46,240 +يبقى E أس ناقص لن absolute value لمين الـ T يبقى C + +440 +00:44:46,240 --> 00:44:53,290 +E أس لن absolute value ل T أس قد إيش والسالب واحد + +441 +00:44:53,290 --> 00:45:00,910 +يبقى هذا C على absolute value لمين الـ T هذا الشكل + +442 +00:45:00,910 --> 00:45:06,530 +الورنسكيان اللي طلبه بدون معرفة من شكل الحلول اللي + +443 +00:45:06,530 --> 00:45:11,870 +عندي لمين لهذه المعادلة طيب الآن انتهى ال section + +444 +00:45:11,870 --> 00:45:16,680 +الأول زي ما تشوفين section بسيط بدنا ال exercises + +445 +00:45:16,680 --> 00:45:26,820 +تبعات section 4-1 اللي هي من ال 1 ل 16 ال even و + +446 +00:45:26,820 --> 00:45:32,320 +من 21 لغاية قد إيش لغاية 24 + +447 +00:45:44,770 --> 00:45:45,470 +مش عارف + +448 +00:46:03,420 --> 00:46:10,780 +بتقدر تحليها أنت هذه ك بالشكل هذا؟ لسه لم نتكلم في + +449 +00:46:10,780 --> 00:46:15,120 +الحل الحل ابتدأ من section 4.2 لنهاية ال chapter + +450 +00:46:15,120 --> 00:46:19,700 +كيف هنحل المعادلة في أوضاعها المختلفة مش هطول عليك + +451 +00:46:19,700 --> 00:46:24,400 +هدخل فيها دوري الهيل مباشرة إن شاء الله يبقى بنجي + +452 +00:46:24,400 --> 00:46:30,280 +ل section 4.2 اللي هو ال homogeneous + +453 +00:46:35,080 --> 00:46:45,180 +المقارنة مع مقارنة مستمرة مع مقارنة + +454 +00:46:45,180 --> 00:46:57,400 +مستمردة اعتنوا + +455 +00:47:04,560 --> 00:47:11,020 +Nth Order Linear Homogeneous + +456 +00:47:11,020 --> 00:47:20,680 +Differential Equation لعل الشكل a0 y to the + +457 +00:47:20,680 --> 00:47:26,640 +derivative n زائد a1 y to the derivative of n minus + +458 +00:47:26,640 --> 00:47:32,520 +one زائد a2 y to the derivative of n minus two + +459 +00:47:32,520 --> 00:47:42,080 +زائد a n ناقص واحد y شرطة زائد a n y بده يساوي + +460 +00:47:42,080 --> 00:47:49,820 +Zero وسميلي هذه المعادلة رقم واحد where + +461 +00:47:49,820 --> 00:48:04,470 +حيث الـ A0 والـ A1 والـ A2 والـ AN real constants + +462 +00:48:04,470 --> 00:48:14,130 +ثوابت حقيقية الآن بدنا نحلها يبقى بدنا نجاوبها + +463 +00:48:14,130 --> 00:48:18,800 +سواء الأخت قبل قليل اللي قالت كيف بدنا نحلها بنقول + +464 +00:48:18,800 --> 00:48:23,380 +الحل كالتالي لحظة المعادلة هذه المعاملات ثوابت + +465 +00:48:23,380 --> 00:48:28,260 +لسه ما تكلمناش المعادلة لو كان المعاملات متغيرات + +466 +00:48:28,260 --> 00:48:37,940 +يبقى بداجي أقول له let Y تساوي E أس RT be a solution + +467 +00:48:37,940 --> 00:48:47,420 +of the differential equation one then they + +468 +00:48:50,920 --> 00:48:58,640 +كاركترستيك ايكويشن از ال a نوت r to the power n + +469 +00:48:58,640 --> 00:49:00,380 +زائد a1 + +470 +00:49:05,330 --> 00:49:13,150 +R⁻¹ R⁻¹ R⁻¹ R⁻¹ R⁻¹ + +471 +00:49:13,150 --> 00:49:17,490 +R⁻¹ R⁻¹ + +472 +00:49:17,490 --> 00:49:21,690 +R⁻¹ + +473 +00:49:42,410 --> 00:49:49,370 +أول ما بدأنا هذا الشابتر هو تعميم لشابتر ثلاثة يبقى + +474 +00:49:49,370 --> 00:49:55,230 +هنا نعمم نفس المعلومات في شابتر ثلاثة كان عندي y + +475 +00:49:55,230 --> 00:50:00,010 +ثنائي شرطة زائد p of t في ال y شرطة زائد q of t + +476 +00:50:00,010 --> 00:50:05,250 +في ال y بدي أساويه زيرو تلت ترما هذا الحمد لله ترما + +477 +00:50:05,250 --> 00:50:09,770 +كثيرًا عشرة خمسة عشر عشرين جد ما يكونوا يبقى أنا + +478 +00:50:09,770 --> 00:50:13,770 +عندي معادلة بالشكل لأن هذا معادلة homogeneous + +479 +00:50:13,770 --> 00:50:18,930 +linear differential equation with constant + +480 +00:50:18,930 --> 00:50:26,370 +coefficients المعاملات هذول كلهم ثابتة بفترض Y تساوي + +481 +00:50:26,370 --> 00:50:32,690 +E RT كما كان في حالة ثانوية order بيه solution of + +482 +00:50:32,690 --> 00:50:35,210 +the differential equation one then the + +483 +00:50:35,210 --> 00:50:40,330 +characteristic equation على الشكل أن a not RN زائد + +484 +00:50:40,330 --> 00:50:46,990 +a1RN-1 زائد a2RN زائد زائد aN-1R زائد aN يساوي + +485 +00:50:46,990 --> 00:50:53,580 +Zero انتقلنا من معادلة تفاضلية إلى معادلة عادية + +486 +00:50:53,580 --> 00:50:58,800 +معادلة تفاضلية من الرتبة النونية إلى معادلة عادية + +487 +00:50:58,800 --> 00:51:04,440 +من الدرجة النونية وليست معادلة تفاضلية الآن هذه + +488 +00:51:04,440 --> 01:01:12,960 +المعادلة كم جذر لها يا بنات؟ قد إيش يعني؟ معادلة من + +489 +00:51:12,960 --> 00:51:18,210 +الدرجة الثانية كم جذر لها؟ من الدرجة الثالثة الجذور + +490 +00:51:18,210 --> 00:51:23,810 +والرابعة مضاعفة نونية إن من الجذور يبقى هذه المعادلة + +491 +00:51:23,810 --> 00:51:29,650 +إنها إن من الجذور تعال قبل ما نكتب ولا كلمة نتكلم + +492 +00:51:29,650 --> 00:51:33,690 +كلام شافه وبعد هيك بنروح نكتب لو روحت حسبت هذه + +493 +00:51:33,690 --> 00:51:38,170 +الجذور يمكن يطلع كلهم جذور حقيقية أولى واحد زي + +494 +00:51:38,170 --> 00:51:48,060 +الثاني صح؟ ممكن يطلعوا جذور كلهم تخيلية ولا واحد + +495 +00:51:48,060 --> 00:51:57,340 +زي الثاني صح؟ ممكن يطلعوا جذور مكررة وكلهم حقيقية + +496 +00:51:57,340 --> 00:52:05,480 +يمكن يطلعوا شوية حقيقية وشوية complex تمام؟ وإذا + +497 +00:52:05,480 --> 00:52:09,600 +كانوا complex بيكونوا complex conjugate طب أنا + +498 +00:52:09,600 --> 00:52:13,980 +هتقولي معقول؟ بقولها آه معقول كيف؟ بقولها افترض إن + +499 +00:52:13,980 --> 00:52:20,020 +المعادلة دي كانت من الدرجة الخامسة طلعوا ثلاث جذور + +500 +00:52:20,020 --> 00:52:26,840 +حقيقية اثنين إيش بيطلعوا؟ تخيلين ومترافقين لأن ال + +501 +00:52:26,840 --> 00:52:31,460 +complex دائما بيطلع الجذر والمرافق له يعني لا يمكن + +502 +00:52:31,460 --> 00:52:38,030 +أن يكون في المعادلة ثلاث جذور complex صح؟ ولا + +503 +00:52:38,030 --> 00:52:41,370 +معادلة سواء كان من الرتبة الزوجية أو من الرتبة + +504 +00:52:41,370 --> 00:52:45,870 +الفردية سيان ما فيش ثلاثة complex في اثنين صح؟ + +505 +00:52:45,870 --> 00:52:49,730 +في أربعة ماشي في ستة ماشي في ثمانية ماشية + +506 +00:52:49,730 --> 00:52:54,610 +ممكن يكون ال complex repeated وممكن ما يكونوش + +507 +00:52:54,610 --> 00:52:59,190 +repeated كمان يبقى هذا كل ما يتعلق بالمعادلة اللي + +508 +00:52:59,190 --> 00:53:05,490 +عندنا هذه تمام؟ إذا هنختصر هذه في ثلاث حالات + +509 +00:53:05,490 --> 00:53:11,150 +الجذور حقيقية ومختلفة الجذور complex وبعد ذلك + +510 +00:53:11,150 --> 00:53:17,810 +الجذور مكررة وسنفصلها إلى حقيقية مكررة أو تخيلية + +511 +00:53:17,810 --> 00:53:24,030 +ومكررة ونشوف كيف تفجر صيغة الحل في كل حالة من + +512 +00:53:24,030 --> 00:53:28,530 +الحالات تلاني يعني إحنا قاعدين بنعمم ال second + +513 +00:53:28,530 --> 00:53:33,350 +order linear homogeneous differential equation مش + +514 +00:53:33,350 --> 00:53:36,810 +بنكتشف شغلات جديدة لأ إحنا قاعدين بنعمم تعميم ليس + +515 +00:53:36,810 --> 00:53:45,370 +إلا يبقى باجي بقول هذه المعادلة اثنين this this + +516 +00:53:46,400 --> 00:53:54,640 +Equation has N roots هذي لها N من الجذور بدأ أخد + +517 +00:53:54,640 --> 00:54:02,120 +الحالة الأولى The roots are + +518 +00:54:02,120 --> 00:54:07,600 +real and + +519 +00:54:07,600 --> 00:54:10,660 +different + +520 +00:54:10,660 --> 00:54:26,420 +غير متساوية تمام فهاجي أقول if the roots of equation + +521 +00:54:26,420 --> 00:54:41,080 +الاثنين are real and no two are + +522 +00:54:41,080 --> 00:54:42,860 +equal + +523 +00:54:47,340 --> 00:54:59,420 +أي أن R1 لا يمكن أن يساوي R2 لا يمكن أن يساوي R3 لا + +524 +00:54:59,420 --> 00:55:04,220 +يمكن أن يساوي RN ثم + +525 +00:55:29,680 --> 00:55:36,980 +يجب أن نقوم باستخدام الأسئلة + +526 +00:55:36,980 --> 00:55:38,760 +الواتس أو الأسئلة الواتس أو الأسئلة الواتس أو + +527 +00:55:38,760 --> 00:55:38,880 +الأسئلة الواتس أو الأسئلة الواتس أو الأسئلة الواتس + +528 +00:55:38,880 --> 00:55:38,940 +أو الأسئلة الواتس أو الأسئلة الواتس أو الأسئلة + +529 +00:55:38,940 --> 00:55:42,240 +الواتس أو الأسئلة الواتس يبقى هذا الشكل الحل في هذه + +530 +00:55:42,240 --> 00:55:47,320 +الحالة كنا في حالة ال second order نقول C1E أُس R1T + +531 +00:55:47,320 --> 00:55:55,020 +C2E أُس R2T ونوقف N يبقى بدنا نوصل لمين للـ N بدنا + +532 +00:55:55,020 --> 00:56:07,220 +نيجي للحالة الثانية the roots are + +533 +00:56:07,220 --> 00:56:18,100 +complex conjugate are complex conjugate يبقى + +534 +00:56:18,100 --> 00:56:30,300 +الجذور تخيلية ومترافقة if the roots of + +535 +00:56:30,300 --> 00:56:36,300 +equation 2 are + +536 +00:56:38,810 --> 00:56:45,910 +complex conjugate تحيولية + +537 +00:56:45,910 --> 00:56:52,310 +مترافقة then these + +538 +00:56:52,310 --> 00:57:07,050 +roots هذه الجذور are in the form الشكل التالي lambda + +539 +00:57:07,050 --> 00:57:15,190 +one زائد أو ناقص i mu one و lambda + +540 +00:57:15,190 --> 00:57:23,410 +two زائد أو ناقص i mu two ونظل ماشين لعيط ما نوصل ل + +541 +00:57:23,410 --> 00:57:33,470 +lambda s زائد أو ناقص i mu s يبقى + +542 +00:57:33,470 --> 00:57:38,820 +the والخيار الأساسي + +543 +00:57:38,820 --> 00:57:44,160 +للإدارة + +544 +00:57:44,160 --> 00:57:48,440 +1S + +545 +00:57:48,440 --> 00:57:50,540 +Y + +546 +00:57:53,030 --> 00:58:10,310 +E أُس لامدا وان T في A1 Cos Mu 1T زائد B1 Sin Mu + +547 +00:58:10,310 --> 00:58:21,850 +1T زائد E أُس لامدا 2T في A2 + +548 +00:58:27,300 --> 00:58:34,560 +بتو صين ميو تي تي زائد زائد + +549 +00:58:58,020 --> 00:59:03,680 +الحالة الثالثة والأخيرة The Roots + +550 +00:59:06,650 --> 00:59:16,650 +are repeated لو كانت الجذور مكررة بدي أقسمها إلى + +551 +00:59:16,650 --> 00:59:33,310 +جزئين نمر A if the roots of equation 2 are real + +552 +00:59:33,310 --> 00:59:34,930 +repeated + +553 +00:59:36,960 --> 00:59:49,640 +لو كانت حقيقية ومكررة that is IN R1 يساوي R2 يساوي + +554 +00:59:49,640 --> 01:00:05,740 +RN يساوي RC مثلا then the general solution + +555 +01:00:09,110 --> 01:00:19,510 +والسؤال الواضح هو Y + +556 +01:00:19,510 --> 01:00:34,770 +تساوي C1 زائد C2T زائد C3T تربيع زائد CN T أس N ناقص + +557 +01:00:34,770 --> 01:00:46,850 +واحد كله في E أُس RT نمر + +558 +01:00:46,850 --> 01:00:51,290 +بي if + +559 +01:00:51,290 --> 01:00:57,970 +the roots of + +560 +01:00:57,970 --> 01:01:03,910 +equation 2 are + +561 +01:01:09,680 --> 01:01:23,520 +repeated complex conjugate repeated + +562 +01:01:23,520 --> 01:01:33,920 +complex conjugate then the general solution + +563 +01:01:41,460 --> 01:01:48,200 +Y تساوي C1 + +564 +01:01:48,200 --> 01:01:57,260 +C2 T زائد زائد CS + +565 +01:01:57,260 --> 01:02:02,980 +T أُس S ناقص واحد + +566 +01:02:05,390 --> 01:02:17,810 +في E أُس لامدا T كوسين ميو T زائد بي واحد بيتنين T + +567 +01:02:17,810 --> 01:02:29,970 +بي S تي أُس S ناقص واحد كله في ساين والله في E أُس + +568 +01:02:29,970 --> 01:02:40,400 +لامدا T في Eحُس لندتي في صين لميوتى + +569 +01:03:25,170 --> 01:03:27,170 +ماذا بحق الجحيم + +570 +01:04:11,950 --> 01:04:15,570 +نرجع لكلام اللي إحنا كاتبينه على البنات من أول و + +571 +01:04:15,570 --> 01:04:20,300 +جديد يبقى سيكشن أربعة اثنين بتتكلم فقط عن ال + +572 +01:04:20,300 --> 01:04:25,240 +homogeneous linear differential equations تمام + +573 +01:04:25,240 --> 01:04:28,640 +بيقول يعتبر ال nth order linear differential + +574 +01:04:28,640 --> 01:04:32,580 +equation اللي عندنا هذه بالمعاملات الثابتة هذه + +575 +01:04:32,580 --> 01:04:37,440 +بدنا نيجي نحلها زي ما كنا بنعمل في شابتر ثلاثة + +576 +01:04:37,440 --> 01:04:42,780 +بنفترض إن هو يساوي E أُس RT عبارة عن solution نشتق مرة + +577 +01:04:42,780 --> 01:04:47,410 +واتنين وثلاثة وأين من المرات بنرجع بنعود في + +578 +01:04:47,410 --> 01:04:52,470 +المعادلة التفاضلية وبعدين بنقسم على E أُس RT بنحسب + +579 +01:04:52,470 --> 01:04:57,270 +نحصل على مين؟ على المعادلة لأن من الدرجة النونية + +580 +01:04:57,270 --> 01:05:03,050 +بدل ما كانت معادلة تفاضلية من الرتبة النونية صارت + +581 +01:05:03,050 --> 01:05:07,710 +معادلة عادية من الدرجة النونية بدنا نيجي نحل + +582 +01:05:07,710 --> 01:05:13,660 +المعادلة هذه هذه المعادلة لها N من الجذور لما يكون + +583 +01:05:13,660 --> 01:05:18,180 +لها إن من الجذور فهناك احتمالات تعددت لهذه الجذور + +584 +01:05:18,180 --> 01:05:23,480 +الاحتمال الأول إن الجذور تبقى حقيقية وغير متساوية + +585 +01:05:23,480 --> 01:05:27,760 +real and different ولا واحد فيهم زي الثاني + +586 +01:05:27,760 --> 01:05:31,560 +مختلفات عن بعض تمامًا يبقى if the roots of a + +587 +01:05:31,560 --> 01:05:35,920 +question are real and not two are equal ما فيش يوم + +588 +01:05:35,920 --> 01:05:41,410 +اثنين بيساووا بعض الرقم 1 لا يمكن يساوي رقم 2 ولا + +589 +01:05:41,410 --> 01:05:48,230 +يمكن يساوي رقم 3 إن حدث ذلك يبقى ال general solution + +590 +01:05:48,230 --> 01:05:53,410 +للمعادلة رقم واحد بدي يكون على الشكل التالي Y تساوي + +591 +01:05:53,410 --> 01:06:01,890 +C1 في E أُس R1T زائد C2 في E أُس R2T زائد زائد و CN + +592 +01:06:01,890 --> 01:06:08,030 +E أُس RNT بالشكل اللي عندنا هذا الحالة الأولى لو + +593 +01:06:08,030 --> 01:06:12,860 +كان ال real and different unequal الحالة الثانية لو + +594 +01:06:12,860 --> 01:06:16,640 +كان الجذور هذه complex وإذا كانوا complex كل + +595 +01:06:16,640 --> 01:06:24,300 +اثنين يكونوا معهم مترافقين يبقى باجي بقول الشكل ال + +596 +01:06:24,300 --> 01:06:29,020 +roots هذه بدأت تبقى على الشكل التالي لامدا زائد أو + +597 +01:06:29,020 --> 01:06:34,500 +ناقص i mu1 يبقى هي الترافق ممكن يكون لامدا 2 زائد + +598 +01:06:34,500 --> 01:06:39,480 +i mu2 الترافق ما بين الاثنين نضل ماشيين لغاية لامدا + +599 +01:06:39,480 --> 01:06:47,520 +S زائد أو ناقص i muS طبعًا بما يتبادر لذهنك السؤال + +600 +01:06:47,520 --> 01:06:53,220 +التالي أو لبعض منكم ليش ما هيش lambda n زائد + +601 +01:06:53,220 --> 01:07:01,420 +أو ناقص i mu n مظبوط صح ولا لأ مش هالت سؤال بقول لكم + +602 +01:07:01,420 --> 01:07:06,420 +يا سيدي هذول اثنين مترافقين أنا عندي درجة نونية مظبوط + +603 +01:07:06,420 --> 01:07:11,640 +إذا اثنين مترافقين بدي يكونوا النص والنص يعني + +604 +01:07:11,640 --> 01:07:16,100 +لو كان عشرة بديهم يطلعوا خمسة والخمسة مرافقتهم + +605 +01:07:16,100 --> 01:07:23,020 +يبقى S تبقى N على 2 صحيح ولا لأ؟ تبقى N على 2 يمكن + +606 +01:07:23,020 --> 01:07:28,280 +شوية فيهم حقيقي وشوية فيهم complex يبقى الحقيقي + +607 +01:07:28,280 --> 01:07:32,600 +بدي أعملهم زي الحقيقي وال complex بطلوا يصيروا + +608 +01:07:32,600 --> 01:07:38,6 + +646 +01:10:17,130 --> 01:10:20,490 +بقداش لأن في الـ second وإذا كان كروص زيادة + +647 +01:10:20,490 --> 01:10:25,150 +كروستان في T واحنا عندنا second اتنين فبتبقى T + +648 +01:10:25,150 --> 01:10:29,750 +أقل واحد أقل من القرص تبع المعادلة بقداش بواحد + +649 +01:10:29,750 --> 01:10:35,630 +يبقى صارت المعادلة دي في مين في E Os RT على اللي + +650 +01:10:35,630 --> 01:10:39,510 +طلعت عندنا هذه تمام يبقى هذا الشكل الـ general + +651 +01:10:39,510 --> 01:10:43,770 +solution لو كانوا really repeated طب لو كانوا + +652 +01:10:43,770 --> 01:10:48,530 +complex وrepeated يبقى سمنها النقطة رقم B يبقى + +653 +01:10:48,530 --> 01:10:52,010 +إذا روح سباقية كونجة R repeated complex conjugate + +654 +01:10:52,010 --> 01:10:58,050 +مرافق ومكرر ما هم نصين صاروا الجذور نص ونص + +655 +01:10:58,050 --> 01:11:02,570 +المرافق يبقى هدول اللي مشاكله هدول اللي لهم الشكل + +656 +01:11:02,570 --> 01:11:06,190 +اللي بيبقى الشكل الـ general solution بيكون c1 زائد + +657 +01:11:06,190 --> 01:11:13,470 +c2t زائد c3t أس s minus الـ one فاللي a أس + +658 +01:11:13,470 --> 01:11:19,610 +لاندا t cos ميو t وهذا التكرار هي مضروب a أس + +659 +01:11:19,610 --> 01:11:26,260 +لاندا في الـ cosine ب1 ب2t زائد زائد بـست to the + +660 +01:11:26,260 --> 01:11:30,980 +power of s minus one في أصلة نتيفة sine immunity + +661 +01:11:30,980 --> 01:11:36,900 +يبقى هذا complex conjugate ومكرر طبعًا هذا الشكل + +662 +01:11:36,900 --> 01:11:42,180 +قليل الحدوث اللي لم يكن نادرًا في كتابنا في مسائل + +663 +01:11:42,180 --> 01:11:47,320 +كتاب تبعتنا لكن البجيات بتكرر وبتجيب حد في كل اي + +664 +01:11:47,320 --> 01:11:51,000 +تساؤل هنا قبل أن ندخل الأمثلة هذا كل جزء النظرية + +665 +01:11:51,000 --> 01:11:54,760 +تبع الـ Section قل له قدام قل له حد بتسأل اي + +666 +01:11:54,760 --> 01:11:59,120 +سؤال هنا نأخذ أمثلة طوبيحية على الحالات اللي + +667 +01:11:59,120 --> 01:12:05,800 +عندنا هنا آه في أي تساؤل؟ طيب نيجي للأمثلة + +668 +01:12:43,020 --> 01:12:44,860 +تبقى مثال + +669 +01:12:51,550 --> 01:12:55,770 +أول مثال بيقول + +670 +01:12:55,770 --> 01:13:00,210 +ي determine the + +671 +01:13:00,210 --> 01:13:04,070 +general + +672 +01:13:04,070 --> 01:13:07,650 +solution + +673 +01:13:07,650 --> 01:13:12,550 +of + +674 +01:13:12,550 --> 01:13:16,170 +the following + +675 +01:13:21,590 --> 01:13:28,010 +differential equations نمرة + +676 +01:13:28,010 --> 01:13:31,530 +A الوثائق + +677 +01:13:31,530 --> 01:13:38,710 +الاتناشر من الكتاب بيقول مشتقة التالتة لو I ناقص + +678 +01:13:38,710 --> 01:13:47,170 +تلاتة المشتقة الثانية زائد ثلاثة y prime ناقص y + +679 +01:13:47,170 --> 01:14:04,070 +تساوي zero هذه المعادلة رقم واحد التكتيك + +680 +01:14:04,070 --> 01:14:08,050 +اللي اتبعناه في الـ second order اللي اتبعه هنا أو + +681 +01:14:08,050 --> 01:14:11,990 +اللي شرحناه في الجزء النظري بدنا نعيده في كل سؤال + +682 +01:14:11,990 --> 01:14:18,870 +من هذا المثال فبجي بقوله let Y تساوي E أس RT به + +683 +01:14:18,870 --> 01:14:29,850 +solution of the differential equation 2The + +684 +01:14:29,850 --> 01:14:41,050 +characteristic equation is R تكيب ناقص ثلاثة R + +685 +01:14:41,050 --> 01:14:50,350 +تربيع زائد تلاتة R ناقص واحد بده يساوي zero لما + +686 +01:14:50,350 --> 01:14:54,990 +كانت المعادلة من الدرجة الثانية قصتنا سهلة يا بحل + +687 +01:14:54,990 --> 01:14:59,250 +القسين يا بروح على القانون العام مظبوط بس هنا + +688 +01:14:59,250 --> 01:15:04,110 +ما بتظبطش معناه لا قانون عام ولا حاجة يبقى في عندي + +689 +01:15:04,110 --> 01:15:10,310 +أكثر من طريقة لحل هذه المعادلة هدول أربع termات + +690 +01:15:10,310 --> 01:15:14,370 +إذا ممكن أخد كل term مع بعض وأخد عاملهم عامل + +691 +01:15:14,370 --> 01:15:21,670 +مشترك كان بيعني ماجدرتش بشوف من الرقم اللي بيقسم + +692 +01:15:21,670 --> 01:15:26,400 +سالب واحد طبعًا ما فيش عندنا إلا مين رقمين اللي هو + +693 +01:15:26,400 --> 01:15:32,940 +واحد وسالب واحد يبقى بيكون واحد فيهم على الأقل هو + +694 +01:15:32,940 --> 01:15:38,040 +أحد عوامل المعادلة يبقى بروح باجسم المعادلة هذه + +695 +01:15:38,040 --> 01:15:43,940 +على R ناقص واحد أو R زائد واحد حسب المعامل + +696 +01:15:43,940 --> 01:15:48,160 +وبالتالي بنزل الرتبة من الرتبة التالتة إلى الرتبة + +697 +01:15:48,160 --> 01:15:53,950 +وخلاص بصير قصدي سهل بعد هيك مظبوط لكن إذا جيت قلت + +698 +01:15:53,950 --> 01:15:59,870 +هذه يا مانان بقدر أقول هذه R تكيب ناقص واحد هدول + +699 +01:15:59,870 --> 01:16:05,110 +التان تان فيهم عامل مشترك اللي همين سالب تلاتة R + +700 +01:16:05,110 --> 01:16:13,760 +بظل قديش R ناقص واحد يساوي zero أخذ سالب ثلاثة R من + +701 +01:16:13,760 --> 01:16:18,420 +التنتين هذول برا من المشاركة هنا بيظل R وهنا بيظل + +702 +01:16:18,420 --> 01:16:24,460 +سالب واحد هذه فيها كمان R ناقص واحد إذا بدي أحلل + +703 +01:16:24,460 --> 01:16:31,500 +هذه كفارق بين المكعبين يبقى هذه بدها تعطينا فتحة + +704 +01:16:31,500 --> 01:16:36,800 +كويس بدي أذكرك بتحليل الفرق بين المكعبين بأخذ + +705 +01:16:36,800 --> 01:16:42,390 +الجذر التالت للقيمة الأولى اللي هو R11 وناقص كما + +706 +01:16:42,390 --> 01:16:47,110 +هي وبتاخد الجذر التالت للقيمة التانية اللي قديش + +707 +01:16:47,110 --> 01:16:51,570 +واحد ايه أخذنا الجذر التالت للأولى والجذر التالت + +708 +01:16:51,570 --> 01:16:57,670 +للتالت بالمثل لو كان مجموع مكعبين بنسوي نفس القصة + +709 +01:16:57,670 --> 01:17:03,970 +تمام؟ طيب بعد كده بقول قوس مربع الأول R تربيع + +710 +01:17:03,970 --> 01:17:09,370 +الإشارة هذه ناقص بحط عكسها تمامًا وبضرب القيمتان + +711 +01:17:09,370 --> 01:17:16,110 +في بعض واحد في R بقداش ب R زائد مربع القيمة التانية + +712 +01:17:16,110 --> 01:17:20,710 +اللي هو قديش، إذًا هذا هو تحليل الفرق بين المكعبين + +713 +01:17:20,710 --> 01:17:21,610 +القيمة الأولى + +714 +01:17:24,450 --> 01:17:30,430 +يبقى باجي بقوله ناقص تلاتة R في R ناقص واحد يساوي + +715 +01:17:30,430 --> 01:17:34,530 +zero أنا عندي هذه كمية وهذه كمية في بينهم عامل + +716 +01:17:34,530 --> 01:17:38,850 +مشترك اللي همين R ناقص واحد بقوله يا R ناقص واحد + +717 +01:17:38,850 --> 01:17:43,340 +خليك برا أنت يبقى لما أخد عمل مشترك بيظل عندي R + +718 +01:17:43,340 --> 01:17:51,500 +تربية زائد R زائد واحد ناقص تلاتة R فقط لغير يبقى + +719 +01:17:51,500 --> 01:17:58,080 +بده يساوي zero هذه بتصير R ناقص واحد فيه هذه يا + +720 +01:17:58,080 --> 01:18:03,960 +بنات اللي هي R تربيع عندك R وناقص تلاتة R اللي هي + +721 +01:18:03,960 --> 01:18:09,930 +بناقص اتنين R زائد واحد كله بده يساوي zero هذه + +722 +01:18:09,930 --> 01:18:20,130 +عبارة عن مين؟ R ناقص واحد الكل تكعيب + +723 +01:18:20,130 --> 01:18:26,610 +هذا معناه أن R ناقص واحد الكل تكعيب يساوي zero هذه + +724 +01:18:26,610 --> 01:18:32,250 +محددة من أي درجة تالتة يبقى لك كم جذر والتلاتة + +725 +01:18:32,250 --> 01:18:39,660 +مالهم حقيقية ومتساوية repeated roots اللي هو الحالة + +726 +01:18:39,660 --> 01:18:45,380 +الأخيرة اللي عندنا نمرة ايه يبقى هنا معناه أن R1 + +727 +01:18:45,380 --> 01:18:51,420 +بده يساوي R2 بده يساوي R3 بده يساوي كده؟ واحد + +728 +01:18:51,420 --> 01:19:00,000 +صحيح تمام؟ يعني هذه real repeated roots + +729 +01:19:02,350 --> 01:19:12,770 +يبقى بناء عليه the solution of the differential + +730 +01:19:12,770 --> 01:19:26,890 +equation 1 as y تساوي c1 زائد c2t زائد c3t تربيع امشي + +731 +01:19:26,890 --> 01:19:32,310 +كمان ولا خلاص؟ لأ خلاص لحظة الأس هنا كده إيش؟ اتنين + +732 +01:19:32,310 --> 01:19:37,650 +رغم أن المعادلة على رقم تلاتة كله في ايه؟ أس اعرف + +733 +01:19:37,650 --> 01:19:44,290 +إنت بقداش؟ بواحد في T الـT itself يبقى هذا شكل الـ + +734 +01:19:44,290 --> 01:19:51,210 +solution تبع المعادلة إلا أن حد إلا يتساول هنا أظن + +735 +01:19:51,210 --> 01:19:56,170 +بسيطة مش صعبة طيب نشوف غيرها نمرة بيه + +736 +01:19:58,790 --> 01:20:07,170 +نمرة بيه اللي هو سؤال تمانتاشر من الكتاب بيقول لي + +737 +01:20:07,170 --> 01:20:13,430 +y أس to the derivative ستة ناقص y double prime + +738 +01:20:13,430 --> 01:20:19,630 +يساوي zero بسيط شغل بسيط مش كتير بدنا نجينا على + +739 +01:20:19,630 --> 01:20:23,710 +solution اللي هي المعادلة الصغيرة هذه نفس التكتيك + +740 +01:20:23,710 --> 01:20:26,670 +اللي اتبع بعدين بقوله solution + +741 +01:20:30,160 --> 01:20:38,680 +لت Y تساوي E أس R T بيسميها للمعادلة الرقم 1 بيه + +742 +01:20:38,680 --> 01:20:52,080 +solution of the differential equation 1 then the + +743 +01:20:52,080 --> 01:20:56,060 +characteristic + +744 +01:20:56,060 --> 01:21:08,190 +equation is أرقص 6 ناقص R تربيع يساوي 0 صح؟ + +745 +01:21:08,190 --> 01:21:14,710 +في عامل مشترك؟ اللي هو مين؟ هذا بدي يعطينا أن R + +746 +01:21:14,710 --> 01:21:21,950 +تربيع في أرقص 4 ناقص 1 يساوي 0 هذه فرق بين + +747 +01:21:21,950 --> 01:21:27,470 +المربعين بقدر أحللها فرق بين المربعين يبقى هاي R + +748 +01:21:27,470 --> 01:21:34,780 +تربيع اللي برا وهنا R تربيع ناقص واحد في R تربيع + +749 +01:21:34,780 --> 01:21:41,720 +زائد واحد بده يساوي zero صحيح؟ هذه كمان فرق بين + +750 +01:21:41,720 --> 01:21:51,530 +المربعين يبقى هذه R تربيع في R ناقص واحد في R زائد + +751 +01:21:51,530 --> 01:21:58,610 +واحد في R تربيع زائد واحد كله بده يساوي قديش؟ بده + +752 +01:21:58,610 --> 01:22:04,630 +يساوي zero طيب الحل لو خلصنا هذا إيش معناه أن + +753 +01:22:04,630 --> 01:22:12,530 +الجدر هذا مكرر مرتين يبقى R واحد تساوي R اتنين + +754 +01:22:12,530 --> 01:22:19,080 +تساوي zero وهذه معناه أن الـ R تلاتة بواحد والـ R + +755 +01:22:19,080 --> 01:22:25,300 +أربعة بسالب واحد خلصنا هدول شو رأيك في هذه R تربيع + +756 +01:22:25,300 --> 01:22:29,400 +تساوي ناقص واحد يبقى complex يعني R تساوي زائد أو + +757 +01:22:29,400 --> 01:22:39,400 +ناقص I يبقى هنا هذا معناه أن R خمسة تساوي I وR ستة + +758 +01:22:39,400 --> 01:22:44,900 +تساوي سالب I والعيط طبعًا معروف اللي هو الجذر + +759 +01:22:44,900 --> 01:22:50,780 +التربيعي لـ سالب واحد يبقى اتنين complex واتنين + +760 +01:22:50,780 --> 01:22:55,260 +conjugate والباقي real يبقى اتصار مشترك من اتنين + +761 +01:22:55,260 --> 01:23:00,660 +complex وmain وreal كذلك يبقى بناء عليه the + +762 +01:23:00,660 --> 01:23:08,720 +general solution is بدي أشوف الـ general solution + +763 +01:23:08,720 --> 01:23:17,540 +اللي عندنا هنا y تساوي هي يا بنات C1 زائد C2 في T + +764 +01:23:17,540 --> 01:23:24,680 +المكرر في E أس zero T يعني بواحد يبقى ما فيش غير + +765 +01:23:24,680 --> 01:23:33,480 +هدول اتنين لحالهم زائد نيجي اللي بعده C3 E Os T + +766 +01:23:33,480 --> 01:23:42,620 +زائد C4 E Os ناقص T نيجي اللي هدول لاندا بقداش؟ زائر + +767 +01:23:42,620 --> 01:23:48,680 +وما عنديش لأنه يبقى E وzero لبعد يبقى زائد C خمسة + +768 +01:23:48,680 --> 01:23:58,980 +cosine T زائد C ستة sine T يعني + +769 +01:23:58,980 --> 01:24:04,080 +سؤال صغير لكن برضه بدنا نفكر كيف نحله حتى الآن + +770 +01:24:04,080 --> 01:24:11,970 +برضه كله تحليل سهل هذه ما فيش فيها أي فكرة نأخذ مثال + +771 +01:24:11,970 --> 01:24:17,690 +آخر في محاضرة اليوم والمرة الجاية بنكمل وبدنا + +772 +01:24:17,690 --> 01:24:23,830 +نشوف إيش الفكرة اللي فيه يبقى نمرة الـC نمرة الـC + +773 +01:24:23,830 --> 01:24:31,350 +سؤال تسعة عشر من الكتاب بيقول لي why to the + +774 +01:24:31,350 --> 01:24:38,480 +derivative five ناقص تلاتة y to the derivative four + +775 +01:24:38,480 --> 01:24:47,560 +زائد تلاتة to the triple derivative ناقص تلاتة y w + +776 +01:24:47,560 --> 01:24:57,320 +prime زائد اتنين y prime بده يساوي من zero يبقى + +777 +01:24:57,320 --> 01:25:02,560 +باجي بقول له solution let + +778 +01:25:03,320 --> 01:25:11,680 +Y تساوي E أس RT بإيه سوليوشن + +779 +01:25:11,680 --> 01:25:15,100 +Of + +780 +01:25:15,100 --> 01:25:26,720 +The Differential Equation 1 High Equation 1 Then + +781 +01:25:26,720 --> 01:25:32,000 +The Characteristic + +782 +01:25:32,780 --> 01:25:44,300 +Equation is R أس خمسة ناقص تلاتة R أس أربع زائد + +783 +01:25:44,300 --> 01:25:52,820 +تلاتة R تكريم ناقص تلاتة R تربيع زائد اتنين R بده + +784 +01:25:52,820 --> 01:25:59,400 +يسوى قديش zero هذه معادلة من الدرجة يعني لها خمسة + +785 +01:25:59,400 --> 01:26:06,300 +جذور تمام طيب نبدأ نشوف كيف بدنا نحللها ونيفر أظن + +786 +01:26:06,300 --> 01:26:10,840 +في R عامل مشترك يبقى التحليل بإخراج العامل المشترك + +787 +01:26:10,840 --> 01:26:18,880 +هاي R ضالان دمين R أس أربع ناقص تلاتة R تكعيب زائد + +788 +01:26:18,880 --> 01:26:24,880 +تلاتة R تربيع ناقص تلاتة R زائد اتنين يساوي zero + +789 +01:26:28,050 --> 01:26:31,450 +الآن بنطلع في المعادلة اللي عندنا دي كيبنا نحلل + +790 +01:26:31,450 --> 01:26:37,250 +المعادلة اللي بين قسمنا الدرجة الرابعة أخد كل + +791 +01:26:37,250 --> 01:26:41,050 +اتنين مع بعض وما يصبطش إشي في تلاتة وإشي في اتنين + +792 +01:26:41,050 --> 01:26:46,470 +تمام يبقى ممكن نعمل قسمة مطولة كيف بدي أجيب القسمة + +793 +01:26:46,470 --> 01:26:52,070 +المطولة شوف يا بنات بروح على المقدار الثابت مين هو + +794 +01:26:53,010 --> 01:27:00,190 +وبدور على قواسمه اتنين سالب اتنين واحد سالب واحد + +795 +01:27:00,190 --> 01:27:04,930 +امسك أي رقم فيهم وأعوضه في المعدل اللي بيخليه + +796 +01:27:04,930 --> 01:27:11,270 +اللي بيخليه zero بيكون هو أحد العوامل تمام بقسم + +797 +01:27:11,270 --> 01:27:15,890 +عليه بنزل الدرجة من الدرجة التالتة لوين؟ لـ الدرجة + +798 +01:27:15,890 --> 01:27:21,030 +الرابعة للدرجة وبعدها يمكن تنحله يمكن أسوي نفس الـ + +799 +01:27:21,030 --> 01:27:25,940 +tactic تمام؟ واحدة إشتر شوية قالت لي طب إشترك استنى + +800 +01:27:25,940 --> 01:27:31,100 +شوية إنت عندك تلاتات كتير قلت لها والله مظبوط قالت لي + +801 +01:27:31,100 --> 01:27:36,340 +بتقدر تخلي هذه تلاتة بقول لك إيه؟ قال أضيف واحد وأطرح + +802 +01:27:36,340 --> 01:27:41,240 +واحد تبقى حلية المشكلة كلها ولا تقسم جسمها مطول + +803 +01:27:41,240 --> 01:27:46,800 +ولا غيره دقة نظر بقول لك إيه؟ قالت هذه بالشكل التالي + +804 +01:27:46,800 --> 01:27:59,000 +R و هذا R أس أربع وناقص تلاتة R تربيع وناقص تلاتة R + +805 +01:27:59,000 --> 01:28:09,800 +تكعيب وزائد تلاتة R تربيع وناقص تلاتة R وزائد تلاتة + +806 +01:28:09,800 --> 01:28:16,040 +ناقص واحد كله يسوي zero يعني إيش عاملين؟ أضافت واحد + +807 +01:28:16,040 --> 01:28:20,000 +واطرحت واحد لما أضافت واحد للاثنين صار تلاتة قامت + +808 +01:28:20,000 --> 01:28:24,600 +طرحت واحد قلت لها وبعدين قالت تعالي شوف إيش اللي + +809 +01:28:24,600 --> 01:28:30,160 +صار هاي اتنين أربع ستة قلت لها مظبوط قال بدي آخد + +810 +01:28:30,160 --> 01:28:34,040 +كل اتنين مع بعض في الأول كانوا خمسة الحين صاروا + +811 +01:28:34,040 --> 01:28:39,860 +ستة كيف بتقولي هاي R وهذا أرقص أربع ناقص واحد + +812 +01:28:39,860 --> 01:28:46,960 +مع الأخيرو هدول اتنين بداخد منهم ناقص تلاتة R تربيع + +813 +01:28:46,960 --> 01:28:52,800 +عامل مشترك بظل R ناقص واحد قلنا لها مظبوط وقالت + +814 +01:28:52,800 --> 01:28:58,660 +هدول كمان ناقص تلاتة بظل R ناقص واحد يساوي zero + +815 +01:28:58,660 --> 01:29:05,700 +قلنا لها إن قالت هدى كمان بتحللها فرق بين المربعين + +816 +01:29:06,100 --> 01:29:12,000 +يبقى بنجي بنقولها أو بناخد منها دول R ناقص \ No newline at end of file diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/QjmVIa7skBA_raw.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/QjmVIa7skBA_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..466ded2ea1ac2220ca3ed1fa7647a7ddecf733c1 --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/QjmVIa7skBA_raw.srt @@ -0,0 +1,3004 @@ +1 +00:00:10,000 --> 00:00:12,200 +بسم الله الرحمن الرحيم + +2 +00:00:14,730 --> 00:00:20,350 +لازلنا في نفس شفر تلاتة ابتدأنا من section تلاتة + +3 +00:00:20,350 --> 00:00:25,730 +واحد بالمعادلة a y w prime زائد b y prime زائد c y + +4 +00:00:25,730 --> 00:00:30,390 +بده يساوي zero فرضنا انه عندي حل على الصيغة y + +5 +00:00:30,390 --> 00:00:35,710 +تساوي E اص RT وصلنا لل characteristic equation على + +6 +00:00:35,710 --> 00:00:40,640 +شكل AR تربيه زائدبار زاد سي يساوي زيرو و روحنا + +7 +00:00:40,640 --> 00:00:45,720 +جيبنا جذور هذه المعادلة فكانت على الشكل التالي + +8 +00:00:45,720 --> 00:00:49,820 +ناقص بزاد او ناقص الجدر التربية على بيه تربية ناقص + +9 +00:00:49,820 --> 00:00:55,400 +اربع ا سي على اتنين ايه واخدنا اللي هو حالتين + +10 +00:00:55,400 --> 00:01:00,400 +الحالة الاولىلو كان المميز هذا اللي هو b تربيع + +11 +00:01:00,400 --> 00:01:05,840 +ناقص اربعة a c greater than zero وعرفنا انه بطلع + +12 +00:01:05,840 --> 00:01:12,100 +عندي قيمتين لار و اتنتين are real وصار الحل in + +13 +00:01:12,100 --> 00:01:16,820 +general c واحد e وصار واحد t زاد c اتنين e اتنين r + +14 +00:01:16,820 --> 00:01:21,840 +اتنين t والمحاضرة الماضيةاللي كان section تلاتة + +15 +00:01:21,840 --> 00:01:26,240 +أربعة قولنا لو طلعت القيمة اللي تحت الجدر اللي هو + +16 +00:01:26,240 --> 00:01:31,480 +المميز بيتر بيها نقص أربعة ASC أقل من ال zero + +17 +00:01:31,480 --> 00:01:37,410 +وقولنا هذا بيصير كمية تخيليةأو الحل بيكون عدد + +18 +00:01:37,410 --> 00:01:43,010 +تخيلي وبالتالي عملنا شوية اختصارات وحطينا الحل على + +19 +00:01:43,010 --> 00:01:50,650 +صيغة E أسلن ده T افتحه C1 Cos U T زي C2 Sin U T + +20 +00:01:50,650 --> 00:01:56,710 +يبقى أخدنا حالتين ان الجذور حقيقية ومختلفة الجذور + +21 +00:01:56,710 --> 00:02:02,560 +اتنين تخيليين ومترافقينالان بنجي للحالة التالتة + +22 +00:02:02,560 --> 00:02:08,360 +والاخيرة لو كان المميز اللي هو b تربية نقص 4ac بده + +23 +00:02:08,360 --> 00:02:13,360 +يساوي zero إذا الجذر هذا كله بطير بالزيد والنقص + +24 +00:02:13,360 --> 00:02:19,100 +ولا يبقى عندي إلا من سالب b على 2a يبقى بصير + +25 +00:02:19,100 --> 00:02:24,920 +الجذور حقيقية ومكررة من هنا كان عنوان ال section + +26 +00:02:24,920 --> 00:02:32,110 +بين أديناrepeated roots الجذور المكررة يعني لو حصل + +27 +00:02:32,110 --> 00:02:38,530 +ان الجذور تبع المعادلة المميزة هذه اتنين جذران + +28 +00:02:38,530 --> 00:02:45,270 +حقيقيان و مكرران بدنا نعرف شو شكل الحل للمعادلة + +29 +00:02:45,270 --> 00:02:49,830 +التفاضلية اذا اتنين بيتساوى معناته ماعنديش الا مين + +30 +00:02:49,830 --> 00:02:56,200 +حلا واحدايبقى مادام R واحد يساوي R اتنين هما + +31 +00:02:56,200 --> 00:03:04,560 +الجذرين يساوي E اص ناقص بي على اتنين ا ساوي have + +32 +00:03:04,560 --> 00:03:15,160 +one solution حل واحد اللي هو Y واحد يساوي E اص + +33 +00:03:15,160 --> 00:03:23,900 +ناقص بي على اتنين ا كله مضروب في من؟ في Tطب كويس + +34 +00:03:23,900 --> 00:03:27,940 +هذه معادلة من الرتبة الثانية إذا لها حلان وليس + +35 +00:03:27,940 --> 00:03:33,600 +حلان واحدة إذا بناروح نبحث عن حل تاني الحل الثاني + +36 +00:03:33,600 --> 00:03:39,940 +بنحاول نحصل عليه بدلالة من؟ بدلالة الحل الأول يبقى + +37 +00:03:39,940 --> 00:03:46,480 +بداجي أقول suppose that افترضوا أنه we have + +38 +00:03:46,480 --> 00:03:49,460 +another + +39 +00:04:06,910 --> 00:04:17,410 +على الشكل التالي هسمي y يساوي v of t في y1 of t من + +40 +00:04:17,410 --> 00:04:24,820 +ال y1 اللي هي هذهيعني اللي هو بده يساوي V of T في + +41 +00:04:24,820 --> 00:04:36,080 +من في ال E أس ناقص بي على اتنين A كله في من في T + +42 +00:04:36,080 --> 00:04:41,700 +يبقى هذا شكل الحل الثاني بالشكل اللي قدامنا هذا + +43 +00:04:41,700 --> 00:04:47,960 +طيب مين هي V of T هذه function of T بدنا نحاول نجد + +44 +00:04:47,960 --> 00:04:56,700 +شو شكلهاالان نحن سنجد + +45 +00:04:56,700 --> 00:05:00,200 +طريقة + +46 +00:05:00,200 --> 00:05:04,080 +نحو + +47 +00:05:04,080 --> 00:05:14,420 +V of T كالتالي + +48 +00:05:19,830 --> 00:05:28,510 +Y تساوي V of T في E اص ناقص بي على اتنين A كله في + +49 +00:05:28,510 --> 00:05:28,750 +T + +50 +00:05:34,330 --> 00:05:39,810 +هذا الحل مرتين و أعوضه في المعادلة الأصلية + +51 +00:05:39,810 --> 00:05:45,490 +وبالتالي سنصل إلى شكل V of T إيش بدي يكون إذا بروح + +52 +00:05:45,490 --> 00:05:49,930 +أشتق هذا مرتين المرة الأولى بداجة أقول Y prime + +53 +00:05:49,930 --> 00:05:58,550 +يساوي المشتقة تهادف V prime of T في E أس ناقص بي + +54 +00:05:58,550 --> 00:06:04,910 +على اتنين A في Tهذا مشتقة الأولى في الدالة الثانية + +55 +00:06:04,910 --> 00:06:10,870 +الزائد الأولى ليه V of T مشتقة التانية بالنقص + +56 +00:06:10,870 --> 00:06:19,810 +فبتيجي النقص V of T في مين؟ في ال B على 2A في ال E + +57 +00:06:19,810 --> 00:06:28,760 +أس ناقص B على 2A كله في Tأو لو أخدنا ال + +58 +00:06:28,760 --> 00:06:34,820 +exponential هذي عامل مشترك بصير المثل كالتالي اللي + +59 +00:06:34,820 --> 00:06:38,940 +هو باختصاره مابديش اكتب V of T بدي اكتب V prime + +60 +00:06:38,940 --> 00:06:45,420 +دوري يبقى بدي اكتب هذا ال V prime وهنا بضل عندى + +61 +00:06:45,420 --> 00:06:55,200 +ناقص B على 2A كله في V في ال E أس ناقص B على 2A في + +62 +00:06:55,200 --> 00:07:00,820 +Tيبقى اخدت ال exponential كعامل مشترك أو common + +63 +00:07:00,820 --> 00:07:04,820 +factor من الشجتين و خلته برا و بظل عندى هنا v + +64 +00:07:04,820 --> 00:07:10,940 +prime و بظل هنا v بس في ال b على 2aالان بدنا نروح + +65 +00:07:10,940 --> 00:07:17,340 +نجيب المشتقة الثانية ال YW' إذا مشتقة حاصل ضرب + +66 +00:07:17,340 --> 00:07:22,620 +دلتين مشتقة الأولى VW' + +67 +00:07:23,520 --> 00:07:30,640 +في الدالة الثانية في E أصناق بي على اتنين A في T + +68 +00:07:31,520 --> 00:07:38,620 +بنشتق كمان مرة يبقى ناقص هي ال V prime زي مهين وال + +69 +00:07:38,620 --> 00:07:46,260 +أس اللي هو P على 2A في ال exponential E أس ناقص P + +70 +00:07:46,260 --> 00:07:54,340 +على 2A في T هيشتقت الأولى ومشتقت حاصل ضرب دالتين + +71 +00:07:55,050 --> 00:08:00,650 +ناقص بإن نشتق ثانية كمان حاصل ضرب دالتين يبقى هذا + +72 +00:08:00,650 --> 00:08:11,880 +V' في B على 2A في E أس ناقص B على 2A كله في Tهي + +73 +00:08:11,880 --> 00:08:16,000 +مشتقة الأولى في الثانية زائد لكن الإشارة ناقص هتخش + +74 +00:08:16,000 --> 00:08:23,620 +على الإتنين يبقى بتجيني ناقص V زي ما هي هذه هييجي + +75 +00:08:23,620 --> 00:08:29,180 +كمان ناقص فبصير زائد ويجي الأس كمان مرة يبقى B + +76 +00:08:29,180 --> 00:08:36,280 +تربيع على أربعة A تربيع في ال A أس ناقص B على + +77 +00:08:36,280 --> 00:08:44,600 +اتنين A كله في Tطيب هذا الكلام بده يساوي بده اخد + +78 +00:08:44,600 --> 00:08:50,580 +ال exponential برا عامل مشترك هدى هي هدى بالضبط + +79 +00:08:50,580 --> 00:08:56,200 +تماما صحيح ولا لا يبقى اتنين مضروبة في واحدة فيهم + +80 +00:08:56,200 --> 00:09:01,640 +اتنين مع اتنين اللى تحت يتم اختصارها اذا بضل ان ال + +81 +00:09:01,640 --> 00:09:11,270 +VW prime ناقص B على A في ال V primeهيحجمان التنتين + +82 +00:09:11,270 --> 00:09:18,170 +هدول مرة واحدة زائد V في ال B تربية على اربعة A + +83 +00:09:18,170 --> 00:09:22,710 +تربية وكل هذا ههه في main في ال exponential + +84 +00:09:22,710 --> 00:09:31,140 +function E أس ناقص B على اتنين A كله في Tالان جبت + +85 +00:09:31,140 --> 00:09:35,480 +y prime و y double prime بدي ارجع اعوض في المعادلة + +86 +00:09:35,480 --> 00:09:43,500 +main star يبقى substitute in + +87 +00:09:43,500 --> 00:09:53,840 +the differential equation star نحصل علىيبقى عندي + +88 +00:09:53,840 --> 00:09:59,580 +إيش؟ a في ال y double prime، مظبوط؟ يعني يا بنات a + +89 +00:09:59,580 --> 00:10:03,200 +بدي أضربها في المقدار هذا كله، يبقى إيش بيصير + +90 +00:10:03,200 --> 00:10:12,660 +عندنا a في ال v double prime ناقص b في ال v prime + +91 +00:10:12,660 --> 00:10:22,000 +زائد بتربيع على أربعة a فقط بدون تربيع في ال v + +92 +00:10:23,480 --> 00:10:27,560 +دربتها في a ببطير a مع ال a تربيها بيبقى ال a بس + +93 +00:10:27,560 --> 00:10:33,280 +في المعقام يبقى هذا كله من ال a في ال y double + +94 +00:10:33,280 --> 00:10:38,740 +prime طبعا ال exponential هخليها للاخر خلاص للكل + +95 +00:10:38,740 --> 00:10:43,980 +الان b في ال y prime وين ال y prime هايها هضربها + +96 +00:10:43,980 --> 00:10:53,580 +في b يبقاش بالصين زائدب في ال V' ناقص ب تربية على + +97 +00:10:53,580 --> 00:11:00,110 +اتنين A في ال Vخلصنا منها بقى ال exponential للاخر + +98 +00:11:00,110 --> 00:11:05,710 +هاخده عامل مشاركة من الكل قال زائد C في ال Y هي ال + +99 +00:11:05,710 --> 00:11:12,030 +Y اللي هي V في ال exponential يبقى زائد C في ال V + +100 +00:11:12,030 --> 00:11:19,410 +وهذا كله مضروب في ال exponential E أص ناقص B على + +101 +00:11:19,410 --> 00:11:26,930 +2A في T كله بده يسوى Zeroسؤال هل يمكن للـ + +102 +00:11:26,930 --> 00:11:30,990 +exponential في يوم من الأيام أنه يسوى zero إذا + +103 +00:11:30,990 --> 00:11:36,510 +بنقدر نقسم عليه الطرفين بدون مشاكل صفر على أي رقم + +104 +00:11:36,510 --> 00:11:41,890 +يسوى صفر طارت هذه طيب يطلعي لهذه BV prime وهذه + +105 +00:11:41,890 --> 00:11:47,830 +السالب BV prime يبقى مع السلامة طيب نيجي نشوف شو + +106 +00:11:47,830 --> 00:11:55,440 +اللي حصل عندنا صار عندنا مين AVW primeالباقي هذي + +107 +00:11:55,440 --> 00:12:01,340 +فيها V و هذي فيها V و هذي فيها V إذا بقدر أخد V + +108 +00:12:01,340 --> 00:12:09,740 +عامل مشترك من مين؟ من الكل بس اطلعيلي لهذه وهذه مش + +109 +00:12:09,740 --> 00:12:15,170 +هي بس الفرق في ال coefficientsهذه ربع المقدار وهذه + +110 +00:12:15,170 --> 00:12:21,570 +نص المقدار إذا بضله ربع المقدار بإشارة سالب يبقى + +111 +00:12:21,570 --> 00:12:31,790 +زائد سالب بي تربيع على اربعة ا زائد سي كل هذا + +112 +00:12:31,790 --> 00:12:37,550 +الكلام في V بده يساوي Zero مرة تانية بده أقولها + +113 +00:12:37,550 --> 00:12:44,470 +هذههي نزلنا هذه كما هي اختصرنا هذه مع هذه نجي هذه + +114 +00:12:44,470 --> 00:12:50,790 +و هذه ربع P تربيع على A في V و نقص نص P تربيع على + +115 +00:12:50,790 --> 00:12:58,410 +A في V معناته هذا بيبقى سالب ربع P تربيع على A في + +116 +00:12:58,410 --> 00:13:03,370 +V يبقى هاي سالب ربع P تربيع على A في V وهي ال V + +117 +00:13:03,370 --> 00:13:09,580 +برازاد constant C يبقى هاي زاد من C إيه لخاطر أوحد + +118 +00:13:09,580 --> 00:13:14,140 +المقامات لهدول و أشوف لوين بده توصلني يبقى لو + +119 +00:13:14,140 --> 00:13:21,020 +وحدنا المقامات لهدول إيش بصير عندنا AVW prime زاد + +120 +00:13:21,020 --> 00:13:27,720 +كله يا بنات على قداش على 4A إيش رايك أخد سالب برا + +121 +00:13:28,380 --> 00:13:35,900 +أريحلي يبقى بصير عني انا كداش B تاربيع ناقص اربعة + +122 +00:13:35,900 --> 00:13:42,360 +A C كله في ال V بده يساوي Zero صحيح؟ طب ايه شو + +123 +00:13:42,360 --> 00:13:49,050 +رأيك هنا؟بتربية ناقص أربعة إلى C يبقى كم؟ يبقى ال + +124 +00:13:49,050 --> 00:13:54,470 +term الأخير هذا مع السلامة يبقى هذا كمان بيروح ب + +125 +00:13:54,470 --> 00:14:00,790 +zero because ان بتربية ناقص أربعة إلى C تفاجن + +126 +00:14:00,790 --> 00:14:05,950 +علينا صفر من مين؟ من البداية يبقى ايش ضالة + +127 +00:14:05,950 --> 00:14:11,810 +النمونات؟ every double prime بده يساوي zeroيبقى لو + +128 +00:14:11,810 --> 00:14:17,470 +جسمنا على a بصير v double prime يساوي zero بنفع + +129 +00:14:17,470 --> 00:14:22,750 +أجسم على a؟ بنفع لأن a لا يمكن أن تساوي zero لو + +130 +00:14:22,750 --> 00:14:27,310 +كانت ال a ب zero لانزلت رتبة a الموقعية لما الرتبة + +131 +00:14:27,310 --> 00:14:30,530 +ثانية إلى الرتبة الأولى و احنا شغلنا في الرتبة + +132 +00:14:30,530 --> 00:14:34,870 +الثانية يبقى a لا يمكن أن تساوي zero بأي حالة من + +133 +00:14:34,870 --> 00:14:39,290 +الأحوال يبقى بنجسم عليها without problems بدون أي + +134 +00:14:39,290 --> 00:14:45,110 +مشكلةطيب يبقى لو كملنا مرتين بنحصل على شكل ال V of + +135 +00:14:45,110 --> 00:14:49,830 +T اللي روحنا قولنا هنا we shall find الشكل تبعها + +136 +00:14:49,830 --> 00:14:53,830 +بدي أكمل مرتين بحصل على الشكل اللي بد أيام يبقى + +137 +00:14:53,830 --> 00:14:59,250 +بناء على لو كملت مرة واحدة بصير V prime of T يسوى + +138 +00:14:59,250 --> 00:15:05,390 +كده؟ C1 ان كملت كمان مرةيبقى لو كملنا كمان مرة + +139 +00:15:05,390 --> 00:15:14,070 +بصير V of T بدي ساوي C1T زائد C2 طب تعالى نتفهم + +140 +00:15:14,070 --> 00:15:20,870 +على ال constants هدول C2 عبارة عن رقم لو ادي اخده + +141 +00:15:20,870 --> 00:15:29,170 +هذا رقم غير الصفربصير V CT1 زائد رقم الرقم هذا لما + +142 +00:15:29,170 --> 00:15:33,790 +ارجع اضربه في الحل اللى فوق برقم يعني اش يعني + +143 +00:15:33,790 --> 00:15:38,970 +كررتي الحل اللى عندي صحيح ولا لا تكرار لا فائدة + +144 +00:15:38,970 --> 00:15:45,550 +منه اذا ممكن اخد C2 بقداش بصفر حتى لا يحدث تكرار + +145 +00:15:45,860 --> 00:15:52,440 +يبقى اتفاقنا C2 ب0 V of T قال لي constant في T هل + +146 +00:15:52,440 --> 00:15:56,860 +ال constant له تأثير على الحل؟ لا ماعنديش يبقى لو + +147 +00:15:56,860 --> 00:16:01,340 +عندي حل اضربه في constant والله مية constant بظل + +148 +00:16:01,340 --> 00:16:07,300 +هو حل يبقى هنا V of T in general هي T وبالتالي + +149 +00:16:07,300 --> 00:16:18,100 +بقدر اخد C1 ب1 وC2 ب0يبقى باجي بقول ا take خدلي c1 + +150 +00:16:18,100 --> 00:16:29,000 +تساوي 1 and c2 تساوي 0 we get بنحصل على v of t بده + +151 +00:16:29,000 --> 00:16:36,480 +يساوي t فقط ده غير يبقى باجي بقول the second + +152 +00:16:36,480 --> 00:16:39,560 +solution + +153 +00:16:59,270 --> 00:17:09,260 +السؤال هو هل هذا الحلمع الحل الأولاني Y1 of T + +154 +00:17:09,260 --> 00:17:17,840 +بكونولي مجموعة الحلول الأساسية الإجابة الله أعلمعن + +155 +00:17:17,840 --> 00:17:23,280 +الرونيسكين إذا كان رونيكس لا يساوي 0 يبقى اتنين + +156 +00:17:23,280 --> 00:17:26,300 +هذول يجيبولي ال fundamental set of solutions + +157 +00:17:26,300 --> 00:17:31,020 +وبالتالي يجيبولي شكل ال general solution إذا بدنا + +158 +00:17:31,020 --> 00:17:36,240 +نروح نحسب رونيسكين تبع من تبع الحلل اتنين هذول + +159 +00:17:36,240 --> 00:17:42,180 +ونشوف هل بيقدر الغرض ام لااذا قدوا الغرض بكونوا + +160 +00:17:42,180 --> 00:17:47,640 +انتهينا من مسلتنا واذا ما قدوش بصير فيه كلام تاني + +161 +00:17:50,210 --> 00:17:56,290 +طيب اذا بادروح ااخد الرونسكين تبع الحل الأول والحل + +162 +00:17:56,290 --> 00:18:01,870 +التاني as a function of T الحل الأول E أس ناقص B + +163 +00:18:01,870 --> 00:18:09,230 +على اتنين A في T والحل التاني T في E أس ناقص B على + +164 +00:18:09,230 --> 00:18:15,770 +اتنين A في Tبنشتغل الحل الأول يبقى ناقص بي على + +165 +00:18:15,770 --> 00:18:24,410 +اتنين ا في ال E أس ناقص بي على اتنين ا في T بي على + +166 +00:18:24,410 --> 00:18:31,010 +اتنين ا كله في TExponential مجتقتها نفسها ضرب + +167 +00:18:31,010 --> 00:18:37,770 +مجتقت الأس هذي مجتقت حصل ضرب دالتين يبقى مجتقت + +168 +00:18:37,770 --> 00:18:43,370 +الدالة الأولى واحد بيظل ال exponential فقط لا غير + +169 +00:18:43,370 --> 00:18:52,470 +ناقص b على اتنين a في t في اس ناقص b على اتنين a + +170 +00:18:52,470 --> 00:18:56,860 +في tاللي هي مشتقة من الدالة التانية في الدالة + +171 +00:18:56,860 --> 00:19:03,660 +الأولى اللي هي T انفك المحدد هذا يبقى بطل عنا E أس + +172 +00:19:03,660 --> 00:19:12,180 +ناقص B على A كله في Tمظبوط؟ نص زاد نص اللي هو حصري + +173 +00:19:12,180 --> 00:19:21,160 +يعني بيظل بي على a في t ناقص بي على اتنين a في t + +174 +00:19:21,160 --> 00:19:34,370 +في a أس ناقص بي على a في tهي بيضع بيضع + +175 +00:19:34,370 --> 00:19:47,510 +بيضع + +176 +00:19:47,510 --> 00:19:52,190 +بيضع + +177 +00:19:52,190 --> 00:19:56,210 +بيضع بيضع بيضع بيضع + +178 +00:20:01,940 --> 00:20:08,320 +يبقى مع السلامة غير مأسوف عليهم النتيجة إذا E أوص + +179 +00:20:08,320 --> 00:20:14,500 +ناقص B على A فى T هل هذه في يوم اليوم ممكن تساوي + +180 +00:20:14,500 --> 00:20:19,360 +Zero لأ لأ ناكسبوننشيل فانكشن يبقى هذه اللي يمكن + +181 +00:20:19,360 --> 00:20:27,750 +أن تساوي Zero So ال E أوص ناقص B على 2A فى Tand T + +182 +00:20:27,750 --> 00:20:35,430 +في E اص ناقص بي على اتنين A في T form a + +183 +00:20:35,430 --> 00:20:44,730 +fundamental set + +184 +00:20:44,730 --> 00:20:52,670 +of solutions of + +185 +00:20:52,670 --> 00:20:53,990 +the + +186 +00:20:59,810 --> 00:21:10,170 +بناءً آلي أصبح the general solution of + +187 +00:21:10,170 --> 00:21:15,810 +question star is why you sell + +188 +00:21:20,640 --> 00:21:31,220 +C1E-P2AT C2T E-P2AT + +189 +00:21:31,220 --> 00:21:40,580 +أو لسهولة بنقول Y يسوى C1C2T + +190 +00:21:40,580 --> 00:21:46,620 +E-P2AT + +191 +00:21:48,280 --> 00:21:54,420 +أو ممكن نحطه بصيغة أخرى النقص P على 2A مش هو عبارة + +192 +00:21:54,420 --> 00:21:59,120 +عن الجذر تبع الـ Acceleration equation أو ال + +193 +00:21:59,120 --> 00:22:04,520 +characteristic equation إذا ممكن أحطه بصيغة أخرى + +194 +00:22:04,520 --> 00:22:12,720 +ويسوى C1 زائد C2T في USR Tهذا هو الجذر اللى بيطلع + +195 +00:22:12,720 --> 00:22:18,780 +عندنا الجذر المكرر يبقى بنات هذا الشكل الحل اللى + +196 +00:22:18,780 --> 00:22:24,660 +عندنا هدى و هدسيا فى حالة ال roots تبقى معاها + +197 +00:22:24,660 --> 00:22:32,440 +repeated roots حد اللى هى تساول هنا طبعا اللى + +198 +00:22:32,440 --> 00:22:35,320 +ماكنت مستغربيه لأن هو اللى كنا رافعين هو repeated + +199 +00:22:35,320 --> 00:22:40,190 +roots و reduction of order اللى اختزال الرتبةنظرا + +200 +00:22:40,190 --> 00:22:43,290 +لأن طريقة اختزال الرتبة زي طريقة production of + +201 +00:22:43,290 --> 00:22:48,990 +words فحطينا 2 في main في section 1 طيب نبدأ الأن + +202 +00:22:48,990 --> 00:22:55,050 +ناخد أمثلة على هذا ال section أو على repeat تدرس + +203 +00:22:55,050 --> 00:23:03,330 +تطبيق عملي لشيء اللي شفناه هنا اللي + +204 +00:23:03,330 --> 00:23:06,870 +بتسأل مين وماذا تقول وأين السائلة + +205 +00:23:09,370 --> 00:23:13,970 +بعد نهاية هذا ال section بيعطيك اتنين لقول يعقوب + +206 +00:23:13,970 --> 00:23:20,070 +عليه السلام فصبر جميل عصى الله أن ياتيني بهم جميع + +207 +00:23:20,070 --> 00:23:27,090 +يعني ياتي بيوسف وأخوه بن يامين تمام؟ يبقى بناجي لا + +208 +00:23:27,090 --> 00:23:27,690 +examples + +209 +00:23:39,510 --> 00:23:45,650 +السؤال الأول هو + +210 +00:23:45,650 --> 00:23:47,850 +سؤال تمانية من الكتاب + +211 +00:24:04,520 --> 00:24:16,680 +16y double prime زائد 24y prime زائد 9y يساوي 0 + +212 +00:24:25,580 --> 00:24:30,420 +سؤال مرة تانية، ماطيني معادلة فضلية من الرتبة + +213 +00:24:30,420 --> 00:24:35,060 +الثانية وال constant coefficients بمعاملات ثابتة + +214 +00:24:35,060 --> 00:24:40,530 +وطلب مني إيجاد الحل العام لهذه المعادلةيبقى + +215 +00:24:40,530 --> 00:24:44,390 +التكتيك كما ماشينا في حالة ال complex roots وكما + +216 +00:24:44,390 --> 00:24:48,530 +ماشينا في حالة ال real different roots يبقى بداجة + +217 +00:24:48,530 --> 00:24:56,790 +اقول له افترض let Y تساوي E أس R T مالها ب + +218 +00:24:56,790 --> 00:25:01,610 +solution then + +219 +00:25:06,290 --> 00:25:17,690 +A characteristic equation is يبقى على الشكل التالي + +220 +00:25:17,690 --> 00:25:30,130 +وراعط لي 16R تربية زائد 24R زائد 9 بدى يسوى جدير 0 + +221 +00:25:30,130 --> 00:25:37,060 +أولو جينا حللناها إلى قوسين الشكل لأن هذا بيصير + +222 +00:25:37,060 --> 00:25:45,010 +اربع R وهنا اربع R وهنا تلاتةوهنا تلاتة تنتين زائد + +223 +00:25:45,010 --> 00:25:50,290 +تلاتة واربعة واطماش واطماش اربعة وعشرين وطلع نفسي + +224 +00:25:50,290 --> 00:25:55,630 +القوس يعني بده يساوي zero هذا معناته انه اربعة R + +225 +00:25:55,630 --> 00:26:01,850 +زائد تلاتة لكل تربية بده يساوي جداش Zero يبقى صار + +226 +00:26:01,850 --> 00:26:07,610 +هنا repeated roots يبقى بصير عند هنا ال R واحد + +227 +00:26:07,610 --> 00:26:15,160 +تساوي R اتنينتساوي سالب تلت رباع يبقى طالع عندنا + +228 +00:26:15,160 --> 00:26:20,280 +real repeated roots يبقى هذه اللي بنسميها real + +229 +00:26:20,280 --> 00:26:29,680 +repeated roots جذور حقيقية و مكررة يبقى بصير ال + +230 +00:26:29,680 --> 00:26:35,000 +general solution على الشكل التالي يبقى the general + +231 +00:26:35,000 --> 00:26:37,480 +solution + +232 +00:26:38,920 --> 00:26:50,700 +is y تساوي c1 زائد c2t في e أس r تي ار بقدر تلت + +233 +00:26:50,700 --> 00:26:59,660 +اربع يبقى بالسالب تلت اربع اللي هو كله في من في تي + +234 +00:26:59,660 --> 00:27:07,520 +هذا الحل العام للمعادلة التفاضلية ناخد كمان مثال + +235 +00:27:08,230 --> 00:27:17,270 +يبقى example 2 سؤال 14 من الكتاب بيقول solve the + +236 +00:27:17,270 --> 00:27:24,610 +initial value problemاللي هو مين؟ y double prime + +237 +00:27:24,610 --> 00:27:32,510 +زائد أربعة y prime زائد أربعة y تساوي zero ومعطيني + +238 +00:27:32,510 --> 00:27:37,430 +two initial conditions y عند السلب واحد يساوي + +239 +00:27:37,430 --> 00:27:44,800 +اتنين و y prime عند السلب واحد يساوي مين؟و احده + +240 +00:27:44,800 --> 00:27:48,300 +قال لي solve ال initial condition ال initial value + +241 +00:27:48,300 --> 00:27:51,860 +problem اللي عندنا يبقى بالي بقوله solution + +242 +00:27:56,700 --> 00:28:02,340 +يبقى تكتيك الحل يا بنات زي المثال السابق تماما بس + +243 +00:28:02,340 --> 00:28:07,880 +بعد ما نجيب ال U و C1 و C2 بدنا نروح باستخدام + +244 +00:28:07,880 --> 00:28:14,300 +الشروط الابتدائية اللي ميعطينيها ان اروح اجيب من + +245 +00:28:14,300 --> 00:28:18,810 +اجيب الحلبقى بقى بقى بقى بقى بقى بقى بقى بقى بقى + +246 +00:28:18,810 --> 00:28:24,590 +بقى + +247 +00:28:39,130 --> 00:28:45,490 +المعادلة المميزة ر تربيع زائد اربعة ر زائد اربعة ر + +248 +00:28:46,920 --> 00:28:53,820 +0 هذي اللي هي عبارة عن main R زائد اتنين لكل تربيع + +249 +00:28:53,820 --> 00:29:01,340 +بده يساوي zero هذا معناه ان ر واحد بدها تساوي R + +250 +00:29:01,340 --> 00:29:06,160 +اتنين بدها تساوي سالب اتنين اللي هي repeated roots + +251 +00:29:06,160 --> 00:29:13,440 +يبقى بيصير هنا the general solution + +252 +00:29:16,620 --> 00:29:29,720 +Y تساوي C1 زي C2T في E أس ناقص 2Tنشتاقها بالمرة + +253 +00:29:29,720 --> 00:29:36,720 +نشتاقها بالمرة يالا هاي y prime يساعد هذه مشتقة + +254 +00:29:36,720 --> 00:29:44,480 +حاصل ضرب دلتين يبقى مشتقة c1 ب zero ومشتقة c2t ب + +255 +00:29:44,480 --> 00:29:54,500 +c2 يبقى هاي c2 في e أص ناقص 2t مشتقة الدالة الأولى + +256 +00:29:54,500 --> 00:29:58,220 +في الثانيةزاد الدالة الثانية اللي هو الجواز في + +257 +00:29:58,220 --> 00:30:05,300 +مشتقة EOS ناقص 2T اللي هي ناقص 2 EOS ناقص 2T يبقى + +258 +00:30:05,300 --> 00:30:16,820 +ناقص 2 في C1 زاد C2T في EOS ناقص 2Tهي جيبنا الدالة + +259 +00:30:16,820 --> 00:30:22,060 +ومشتقتها الان بدنا نروح لل initial condition اللي + +260 +00:30:22,060 --> 00:30:27,800 +قال ال Y عند السلب واحد يساوي اتنين Y عند السلب + +261 +00:30:27,800 --> 00:30:33,580 +واحد بد يساوي اتنين implies يبقى بد اشيل ال Y و + +262 +00:30:33,580 --> 00:30:35,220 +اكتب مكانها جداش + +263 +00:30:40,460 --> 00:30:54,300 +يبقى بيصير C1-C2 يبقى هنا C1-C2 كلها في A وسلب 2 + +264 +00:30:54,300 --> 00:31:00,600 +في سلب 1 يعني بيصير E تربية فقط لا غير يبقى بE + +265 +00:31:00,600 --> 00:31:06,600 +تربيةأيش رايك انا مديش ال E تربيه عادي بدي اضغط في + +266 +00:31:06,600 --> 00:31:10,900 +U سالب اتنين مشان اخلي الكونوستانس لحالهم يبقى + +267 +00:31:10,900 --> 00:31:16,680 +بناء عليه بيصير عند هنا C واحد ناقص C اتنين يساوي + +268 +00:31:16,680 --> 00:31:22,650 +اتنين U سالب اتنينالان بداجي لل initial condition + +269 +00:31:22,650 --> 00:31:27,170 +الثاني ال y prime عند السلب واحد بده يساوي واحد + +270 +00:31:27,170 --> 00:31:33,150 +اذا بداجي اشيل المشتقة الاولى و اكتب لها قداش واحد + +271 +00:31:33,150 --> 00:31:39,190 +و اشيل كل T و احط مكانها سالب واحد يبقى هاي واحد + +272 +00:31:39,190 --> 00:31:46,250 +يساوي C2 هاي C2 في E تربيع + +273 +00:31:50,790 --> 00:31:56,490 +وصلنا ل-2C1 + +274 +00:31:56,490 --> 00:31:59,530 +-C2 + +275 +00:32:07,240 --> 00:32:13,040 +يبقى هذه يا بنات بصير واحد يسوي C2 E تربية نقص + +276 +00:32:13,040 --> 00:32:22,100 +اتنين C1 E تربية زائد اتنين C2 E تربيةيعني صارت + +277 +00:32:22,100 --> 00:32:32,960 +واحد يساوي تلاتة C اتنين او تلاتة C اتنين مقص + +278 +00:32:32,960 --> 00:32:39,620 +اتنين C واحد كله في ال E تربية يعني صار عندنا مين؟ + +279 +00:32:39,620 --> 00:32:46,960 +صار عندنا تلاتة C اتنين مقص اتنين C واحد كله بده + +280 +00:32:46,960 --> 00:32:54,750 +يساوي E سالب اتنينتمام شو رايك لو جيت ضربت + +281 +00:32:54,750 --> 00:33:00,610 +المعادلة الأولى فى اتنين المعادلة الأولى فى اتنين + +282 +00:33:00,610 --> 00:33:05,610 +اللى فوق هذه يبقى هذه بده ضربها فى اتنين لو ضربتها + +283 +00:33:05,610 --> 00:33:12,090 +فى اتنين بصير عند مين بصير سالب اتنين سي اتنين + +284 +00:33:12,090 --> 00:33:18,810 +زائد اتنين سي واحد بده يساوي اربع او اثنان اقص + +285 +00:33:18,810 --> 00:33:24,330 +اتنينضربت المعادلة فوق كله في اتنين طيب نجمع بصير + +286 +00:33:24,330 --> 00:33:32,030 +هدول مع السلامة بضل انا جداش يا بنات بضل C2 يساوي + +287 +00:33:32,030 --> 00:33:39,620 +خمسة E ناقص اتنينبدي C1 برجع اعوب في المعادل اللي + +288 +00:33:39,620 --> 00:33:51,120 +فوق هذا بدي يعطيلك انه C1-5EOS-2 يساوي 2 EOS-2 هذا + +289 +00:33:51,120 --> 00:34:00,500 +بدي يعطيلك انه C1 يساوي 7 EOS-2 جبتله C1 و C2 اذا + +290 +00:34:00,500 --> 00:34:06,040 +بجيب اقول له solution of + +291 +00:34:12,250 --> 00:34:22,040 +يبقى هاي Y تساويجالي C1 يبقى C1 وينك يا C1 اللي هي + +292 +00:34:22,040 --> 00:34:31,320 +سبعة E أس ناقص اتنين C1 سبعة E أس ناقص اتنين وC2 + +293 +00:34:31,320 --> 00:34:40,700 +اللي هي بزايد خمسة E أس ناقص اتنين في T كله في + +294 +00:34:40,700 --> 00:34:48,750 +جداش في E أس ناقص اتنين Tشرايك بدي اطللي اوس ناقص + +295 +00:34:48,750 --> 00:34:54,990 +اتنين برا يبقى لو طلعناها برا بصير الحل Y يساوي + +296 +00:34:54,990 --> 00:35:05,090 +سبعة زائد خمسة T في A أس ناقص اتنين T ناقص اتنين + +297 +00:35:05,090 --> 00:35:08,370 +او ان شئتم تحطوها بشكل اخر + +298 +00:35:27,380 --> 00:35:34,560 +أما ما طلبته عن أرقام المسائل ففي نهاية هذا + +299 +00:35:34,560 --> 00:35:38,520 +sectionبعد ما ناخد النقطة الثانية اللي هي + +300 +00:35:38,520 --> 00:35:45,740 +reduction of order حد فيكن اي سؤال فيما سبقت + +301 +00:35:45,740 --> 00:35:51,480 +دراسته حول ال repeated roots يا ابنها؟ اي تساؤل + +302 +00:35:51,480 --> 00:35:55,360 +احنا جاهزين؟ + +303 +00:35:55,360 --> 00:36:02,480 +في + +304 +00:36:02,480 --> 00:36:09,740 +اي تساؤل؟طب نجي لطريقة جديدة اسمها reduction of + +305 +00:36:09,740 --> 00:36:24,780 +order reduction of order reduction + +306 +00:36:24,780 --> 00:36:30,200 +of order يعني اختزاة للرتبةبدل من الرتبة تبقى رتبة + +307 +00:36:30,200 --> 00:36:35,320 +ثانية نزلها لمن؟ لرتبة أولى، هذه بنستخدمها واجتش + +308 +00:36:35,320 --> 00:36:41,620 +إذا أعطاني أحد الحلول وطلب من؟ وطلب الحل الثاني + +309 +00:36:41,620 --> 00:36:47,550 +طبعا السؤال عن معادلة من الرتبة الثانيةسواء كانت + +310 +00:36:47,550 --> 00:36:51,290 +ال differential equation بمعاملات ثابتة او بغير + +311 +00:36:51,290 --> 00:36:56,130 +المعاملات الثابتة بنفعل الشكتين بس in general ان + +312 +00:36:56,130 --> 00:37:03,030 +نطالي احد الحلول بحط المعاملات functions وليست + +313 +00:37:03,030 --> 00:37:08,090 +constants تمام الكلام اللي قوله شاف عميه هروح نحطه + +314 +00:37:08,090 --> 00:37:15,970 +عمله الآن ان شاء الله فنجيب نقول considerconsider + +315 +00:37:15,970 --> 00:37:24,650 +the homogeneous differential + +316 +00:37:24,650 --> 00:37:34,290 +equation المعادلة تفاضليا اللي هي Y W prime P of T + +317 +00:37:34,290 --> 00:37:41,270 +في Y prime Q of T في Y بده يسوى Zero وسميلي هذه + +318 +00:37:41,270 --> 00:37:43,070 +المعادلة Star + +319 +00:37:48,790 --> 00:37:59,770 +نفترض أن الـ Y1 هي حلول + +320 +00:37:59,770 --> 00:38:11,050 +تبدأ من المقارنة الاختصارية المسؤال + +321 +00:38:11,050 --> 00:38:11,870 +هو + +322 +00:38:15,890 --> 00:38:22,390 +السؤال هو can + +323 +00:38:22,390 --> 00:38:30,050 +we determine هل + +324 +00:38:30,050 --> 00:38:35,570 +بنقدر نحدد a function + +325 +00:38:37,100 --> 00:38:45,940 +v of t such that بحيث ان can have function v of t + +326 +00:38:45,940 --> 00:38:56,320 +such that ال y يساوي ال v of t في y one of t is + +327 +00:38:56,320 --> 00:39:01,020 +another solution + +328 +00:39:03,530 --> 00:39:14,950 +is another solution of equation أستا الممكن the + +329 +00:39:14,950 --> 00:39:19,310 +answer is + +330 +00:39:19,310 --> 00:39:30,630 +yes كيف؟ as follows كتالة لعلكوا + +331 +00:39:30,630 --> 00:39:36,120 +الآنمن خلال هالسطرين اللي كتبناهم ادركتم مدى + +332 +00:39:36,120 --> 00:39:41,160 +العلاقة ما بين موضوع ال reduction of order مع مين؟ + +333 +00:39:41,160 --> 00:39:45,920 +مع ال repeated roots نرجع الكلام اللي احنا كاتبينه + +334 +00:39:45,920 --> 00:39:51,300 +من جديد نفهم شو اللي احنا كاتبينه وما علاقته بال + +335 +00:39:51,300 --> 00:39:55,980 +repeated roots اللتي درسناها قبل قليل + +336 +00:40:03,220 --> 00:40:07,840 +يبقى موضوعنا الآن لدراسة المعادلة التفاضلي يستارل + +337 +00:40:07,840 --> 00:40:12,300 +هو موضوع reduction of order اختزال الرتبة او تنزيل + +338 +00:40:12,300 --> 00:40:16,260 +الرتبة من الرتبة الثانية الى الرتبة الاولى هذه + +339 +00:40:16,260 --> 00:40:20,660 +المعادلة التفاضلي اللى عندنا لم نشترط ان P و Q + +340 +00:40:20,660 --> 00:40:25,080 +يكونوا constants لكن في section تلاتة واحد تلاتة + +341 +00:40:25,080 --> 00:40:29,500 +اتنين تلاتة تلاتة تلاتة اربعة تلاتة خمسة حتى + +342 +00:40:29,500 --> 00:40:34,000 +اللحظة هذه اشترط ان يكون مالهمالـ coefficients are + +343 +00:40:34,000 --> 00:40:38,660 +real، المعاملات ثوابت وليست continuous functions، + +344 +00:40:38,660 --> 00:40:42,620 +ماهياش دوال مضطر وانما دوال كابتن كله ثوابت، الـA + +345 +00:40:42,620 --> 00:40:46,000 +constant، الـB constant والـC constant، لكننا لما + +346 +00:40:46,000 --> 00:40:51,340 +أشترط للـP و للـQلكن هذا بتعتمد ان هو بيعطيني حل + +347 +00:40:51,340 --> 00:40:55,680 +وانا بروح بدور على مين على الحل الثاني لهذه + +348 +00:40:55,680 --> 00:41:00,480 +المعادلة التفاضلية بقول افترض ان هو اي واحد هو حل + +349 +00:41:00,480 --> 00:41:04,780 +المعادلة التفاضلية اللى عندنا star السؤال هو the + +350 +00:41:04,780 --> 00:41:10,500 +question is can we determineبنقدر نحدد دالة V of T + +351 +00:41:10,500 --> 00:41:15,540 +بحيث Y تساوي V of T في Y واحد of T is another + +352 +00:41:15,540 --> 00:41:21,560 +solution حل أخر للمعادلة star الإجابة نعم كيف + +353 +00:41:21,560 --> 00:41:25,250 +كالتالييبقى يا بناتي احنا الشغل اللى بنشتغله الان + +354 +00:41:25,250 --> 00:41:29,930 +هو نفس الشغل اللى اشتغلناه تو الساعة في حالة + +355 +00:41:29,930 --> 00:41:35,290 +repeated roots مع الفارق شو الفارق؟ هناك طلعت R1 + +356 +00:41:35,290 --> 00:41:39,890 +معروفة ليه ناقص B على 8A واشتغلنا عليها، هنا أنا + +357 +00:41:39,890 --> 00:41:44,770 +مش عارفها، خليتها بدللة مين؟ Y1، جد ما يطلع يطلع + +358 +00:41:44,770 --> 00:41:48,850 +أو ايش ما يطلع يطلعأو ايش ميعطينيها خلاص هو + +359 +00:41:48,850 --> 00:41:52,670 +ميعطينيها بدأ استخدم وامشي مش يعني E وص ناقص P على + +360 +00:41:52,670 --> 00:41:57,090 +اتنين A في T زي ما طلع قبل قليل لا ليس بالضرورة + +361 +00:41:58,880 --> 00:42:02,760 +يبقى اللي طلع قبل قليل كان حلقة خاصة لأن المعاملات + +362 +00:42:02,760 --> 00:42:06,900 +ثوابت بس هنا المعاملات لم نشترط انها ثوابت اي + +363 +00:42:06,900 --> 00:42:12,420 +continuous functions تمام؟ يبقى افتراضها ان الحل + +364 +00:42:12,420 --> 00:42:19,130 +الثاني على الشكل هو I يسوى VOT في Y1بدي أعرف ما هو + +365 +00:42:19,130 --> 00:42:25,690 +شكل ال V of T واللي بيخليه لل V في Y1 هو عبارة عن + +366 +00:42:25,690 --> 00:42:31,390 +حل آخر لمين للمعادلة أستر إذا التكتيك اللي اتبعته + +367 +00:42:31,390 --> 00:42:36,100 +قبل قليل بيتبعه هنا يبقى الآن بروح أجيب ميناللي هو + +368 +00:42:36,100 --> 00:42:40,300 +المشتقة الأولى والمشتقة الثانية ونروح نعوض وان في + +369 +00:42:40,300 --> 00:42:43,180 +المعادلة الصغيرة و بعدها الله بفرجها ان شاء الله + +370 +00:42:43,180 --> 00:42:50,200 +يبقى باجي بقول احنا عندنا اللي هو ال Y تساوي V of + +371 +00:42:50,200 --> 00:42:57,500 +T في Y1 of T بده اشتق المشتقة الأولى يبقى ال Y + +372 +00:42:57,500 --> 00:43:06,140 +prime بده يساويV of T في ال Y1 prime زائد V prime + +373 +00:43:06,140 --> 00:43:10,840 +في ال Y1 بدّيش اكتب ال T هذه خلاص مفهومة كل واحدة + +374 +00:43:10,840 --> 00:43:16,300 +فيهم function في T بس للسهولة يعني مش هنخليش القلق + +375 +00:43:16,300 --> 00:43:21,760 +ع الكتير يبقى هاي المشتقة الأولى بدنا نجيب المشتقة + +376 +00:43:21,760 --> 00:43:26,600 +الثانية اللي هي Y double prime يبقى دي مشتقة حاصل + +377 +00:43:26,600 --> 00:43:36,070 +ضربدالتين يبقى v في ال y1 w prime زائد v prime y1 + +378 +00:43:36,070 --> 00:43:43,110 +prime هيشتقن الاتنين حاصل ضرب دالتين زائد v prime + +379 +00:43:43,110 --> 00:43:53,290 +y1 prime زائد v w prime y1 تطلعيلي الاتنين هدول زي + +380 +00:43:53,290 --> 00:43:59,140 +بعضيبقى اتنين واحدة فيهم يبقى بصير ان هذا main + +381 +00:43:59,140 --> 00:44:05,600 +اللي هو v في ال y1 double prime زائد اتنين v prime + +382 +00:44:05,600 --> 00:44:12,700 +y1 prime زائد v double prime y1جبنا المشتقة الأولى + +383 +00:44:12,700 --> 00:44:16,220 +و المشتقة الثانية و هي الدالة بقدر أعوض في + +384 +00:44:16,220 --> 00:44:26,280 +المعادلة الأصلية يبقى باجي بقول substitute and the + +385 +00:44:26,280 --> 00:44:36,360 +differential equation star we get و نحصل على مياتي + +386 +00:44:36,360 --> 00:44:42,080 +بدي أشيل وائدة بالإقرام و أحط هذه بدالهايقولش بصير + +387 +00:44:42,080 --> 00:44:50,980 +v في ال y1 double prime زائد 2 v prime y1 prime + +388 +00:44:50,980 --> 00:44:59,000 +زائد v double prime في ال y1 خلصنا منهاالـP بدي + +389 +00:44:59,000 --> 00:45:07,420 +أضربها في الـY' الـP of T يبقى زائد P في الـV في + +390 +00:45:07,420 --> 00:45:16,000 +الـY1' زائد P في الـV' في الـY1 يبقى ضربنا P of T + +391 +00:45:16,000 --> 00:45:22,900 +في الـY' وضربناها هنااللي بعدها زائد ل Q في ال Y + +392 +00:45:22,900 --> 00:45:30,480 +هي ال Y بده اضربها في ال Q يبقى زائد ل Q في من؟ في + +393 +00:45:30,480 --> 00:45:39,760 +ال Y1 هاد ال Y في من؟ ل Q في ال V V في ال Y1 كل + +394 +00:45:39,760 --> 00:45:45,680 +هذا الكلام بده يسمي كده؟طيب إذا المعادلة الآن بعد + +395 +00:45:45,680 --> 00:45:48,420 +ما رجعنا عوضنا في المعادلة star صارت المعادلة + +396 +00:45:48,420 --> 00:45:53,680 +لأنها على الشكل التالي اللي هو بين إيدنا هنا طيب + +397 +00:45:53,680 --> 00:46:01,260 +تعالى نشوف شو عندنا هنا هذه أظن فيها V وهذه فيها V + +398 +00:46:01,260 --> 00:46:08,460 +وهذه فيها V شراكة أخد منها V عامل مشتركيبقى هذي لو + +399 +00:46:08,460 --> 00:46:18,620 +أخدنا V عامل مشترك يصير Y1W' زائد P + +400 +00:46:18,620 --> 00:46:30,800 +of T في Y1' زائد ل Q of T في Y1 وهي ال V برا خلصنا + +401 +00:46:30,800 --> 00:46:36,440 +التلاتة هدول بقى لنا مين؟ بقى للتنتين هدولمظبوط + +402 +00:46:36,440 --> 00:46:46,920 +يبقى زائد اتنين y one prime في ال v prime زائد y + +403 +00:46:46,920 --> 00:46:52,740 +one في ال v double prime كل هذا الكلام بده يساوي + +404 +00:46:52,740 --> 00:46:58,490 +كده؟ بده يساوي zeroماذا رأيك في المقدار بين + +405 +00:46:58,490 --> 00:47:08,650 +القوسين هذا يبقى + +406 +00:47:08,650 --> 00:47:19,230 +هذا بزيرو يبقى + +407 +00:47:19,230 --> 00:47:28,260 +المعادلة ألت إلى الشكل التالياللي هو Y1 VW prime + +408 +00:47:28,260 --> 00:47:36,960 +زائد اتنين Y1 prime زائد اتنين Y1 في ال VW زائد + +409 +00:47:36,960 --> 00:47:43,320 +اتنين Y1 prime في ال V prime بده يساوي Zero شو + +410 +00:47:43,320 --> 00:47:45,660 +رايك نقسم على Y1 + +411 +00:47:50,220 --> 00:47:57,000 +لحظة شوية اتسنى اتسنى شوية ضلت هذه و اه في عندنا P + +412 +00:47:57,000 --> 00:48:05,660 +اه اتنين اتسنى اتسنى شوية هذه عندنا هنا هذه و هذه + +413 +00:48:05,660 --> 00:48:10,560 +و هذه مظبوطة هذه مافيها مشكلة ضل عندنا term اه + +414 +00:48:10,560 --> 00:48:15,340 +تلات تيرمات ضايل مش تيرمين تلات تيرمات بنصلحها + +415 +00:48:15,340 --> 00:48:24,420 +بسيطة جدايبقى اتنين و اتنين و اتنين و اتنين و + +416 +00:48:24,420 --> 00:48:26,200 +اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و + +417 +00:48:26,200 --> 00:48:33,600 +اتنين و اتنين و اتنين + +418 +00:48:35,240 --> 00:48:46,240 +زائد اتنين Y1 prime زائد PY1 كل هذا في ال V prime + +419 +00:48:46,240 --> 00:48:56,560 +مظبوط زائد Y1 VW prime كل هذا الكلام بده يساوي + +420 +00:48:56,560 --> 00:49:06,260 +مين؟ بده يساوي Zeroالان بقدر اقسم كله على Y1 يبقى + +421 +00:49:06,260 --> 00:49:15,600 +لو قسمت على Y1 بيصير المعادلة VW prime زائد الهمين + +422 +00:49:15,600 --> 00:49:26,080 +اتنين Y1 prime على Y1 زائد P of T كله في ال V + +423 +00:49:26,080 --> 00:49:32,370 +prime يسوى Zeroماذا رايك في المعادلة هذه اللي بين + +424 +00:49:32,370 --> 00:49:40,530 +ادينا فيها V يعني equation with V مفقودة V مفقودة + +425 +00:49:40,530 --> 00:49:53,040 +يبقى هذه equation with V مفقودةيبقى هذه مفقودة إذا + +426 +00:49:53,040 --> 00:50:00,580 +بقدر أشيل ال V' و أضع بدلها Z مثلا يبقى pot و + +427 +00:50:00,580 --> 00:50:09,880 +أضعنا Z تسوى V' هذا بدي أخبرك أن Z' يسوى VW' لأن V + +428 +00:50:09,880 --> 00:50:16,680 +تعادل Y هناكبصير المعادلة هادية على الشكل التالي + +429 +00:50:16,680 --> 00:50:27,400 +بصير z prime زاد 2y prime على y1 2y prime على y1 + +430 +00:50:33,090 --> 00:50:38,390 +نزلنا الرتبة من الرتبة الثانية إلى الرتبة الأولى + +431 +00:50:51,840 --> 00:51:01,920 +that can be solved as before نقدر نحلها كما كنا + +432 +00:51:01,920 --> 00:51:06,100 +نحل من قبل يبقى هذه اللي اسمها الطريقة يا بنات + +433 +00:51:06,100 --> 00:51:11,620 +طريقة مين ال reduction of order عند حل هذه الأنواع + +434 +00:51:11,620 --> 00:51:15,620 +من المسائل بدنا نمشي بنفس التكتيك النظري اللي + +435 +00:51:15,620 --> 00:51:21,320 +مشينا فيه هنا قدامنا تمامايبقى حد في كل اي تساول + +436 +00:51:21,320 --> 00:51:25,860 +هنا هنبدأ ناخد أمثلة توضحها بس قوليلي ها في تساول + +437 +00:51:25,860 --> 00:51:32,260 +على الكلام هنا او في نقطة مش مفهومة كده طبعا + +438 +00:51:32,260 --> 00:51:36,080 +function نفس التكتيك اللي كنا مش أخدنا equation + +439 +00:51:36,080 --> 00:51:40,740 +with y missing وt missing is z هنا مكان ال y هناك + +440 +00:51:40,740 --> 00:51:45,120 +بالضبط تماما ها في اي تساول اخر ايوة + +441 +00:51:48,470 --> 00:51:53,190 +الـ Q متغير والـ P متغير واخدناهم ثابت ماعناه + +442 +00:51:53,190 --> 00:51:57,150 +مشكلة المهم يعطينا حل و الحل اللي بيعطيناه سواء + +443 +00:51:57,150 --> 00:52:00,470 +كانت ده او لا بمعاملة الـ differential equation + +444 +00:52:00,470 --> 00:52:03,370 +بمعاملات ثابتة او ما هيش معاملة ثابتة ماعناها + +445 +00:52:03,370 --> 00:52:08,810 +مشكلة ماشي اكتبها الملاحظة دي اكتب ملاحظة بالعربي + +446 +00:52:08,810 --> 00:52:15,750 +نستخدم هذه الطريقة اذا + +447 +00:52:15,750 --> 00:52:16,670 +اعطينا + +448 +00:52:19,390 --> 00:52:24,750 +أحد الحلول للمعادلة + +449 +00:52:24,750 --> 00:52:30,210 +التفاضلية الى + +450 +00:52:30,210 --> 00:52:37,110 +اللى قدامك هذى y w prime زاد p of t y prime زاد q + +451 +00:52:37,110 --> 00:52:46,490 +of t في y بده يساوي zero where ال + +452 +00:52:46,490 --> 00:53:03,070 +p of tand the Q of T are constants or not يعني + +453 +00:53:03,070 --> 00:53:05,570 +كانوا ثوابت و الله ماله ايه ثوابت مش مشكلة لما + +454 +00:53:05,570 --> 00:53:10,210 +يعطاني حل هو الطريقة دي وسطها بجيب من؟ بجيب الحل + +455 +00:53:10,210 --> 00:53:16,330 +الثاني إذا أروح ناخد مثال على هذا الكلام يبقى + +456 +00:53:16,330 --> 00:53:16,890 +example + +457 +00:53:23,900 --> 00:53:34,060 +سؤال خمسة و عشرين من الكتاب بيقول if Y1 دو سوء + +458 +00:53:34,060 --> 00:53:45,780 +واحد على T و T greater than zero is a solution of + +459 +00:53:45,780 --> 00:53:51,940 +the differential equation + +460 +00:53:52,590 --> 00:54:01,790 +للمعادلة التفاضلية لـ T تربيع YW prime زائد تلاتة + +461 +00:54:01,790 --> 00:54:13,330 +T في Y prime زائد Y تساوي Zero Find a second + +462 +00:54:13,330 --> 00:54:19,810 +linearly independent solution + +463 +00:54:22,930 --> 00:54:48,430 +of the given differential equation زي + +464 +00:54:48,430 --> 00:54:51,470 +ما تشوفين هنا Y1 حل المعادلة + +465 +00:54:58,470 --> 00:55:01,510 +المعادة اللى عنها second order differential + +466 +00:55:01,510 --> 00:55:05,390 +equation سواء كمعامل T تربيه او المعامل واحد صحيح + +467 +00:55:05,390 --> 00:55:09,710 +لو جسمنا على T تربيه بصير المعامل main واحد صحيح + +468 +00:55:09,710 --> 00:55:14,890 +لكن هل لازم لي شكل P of T وقل Q of T؟ مش لازم لي + +469 +00:55:14,890 --> 00:55:20,090 +وبالتالي لا داعي للقسمةمش ده القسم بهمنا مين بهمنا + +470 +00:55:20,090 --> 00:55:24,790 +الشغل اللي عندنا ده ماتيني واحد على T هو حل يبقى + +471 +00:55:24,790 --> 00:55:28,830 +الحل التاني V of T في واحد على T و بتجديه بشكل مين + +472 +00:55:28,830 --> 00:55:37,710 +ال V of T يبقى بعدي بقوله هنا suppose that + +473 +00:55:37,710 --> 00:55:43,650 +افرض انه the other solution + +474 +00:55:45,910 --> 00:55:55,730 +Y تساوي V of T في مين؟ في واحد عالى T والان بدنا + +475 +00:55:55,730 --> 00:56:00,030 +نروح نجيبله مين؟ شكل ال V of T إذا بدنا نروح + +476 +00:56:00,030 --> 00:56:08,830 +نشتقها يا بنات يبقى هنش بيصير Y prime بده يساوي V + +477 +00:56:08,830 --> 00:56:19,620 +prime في واحد عالى Tزائد و لا ناقص V في واحد على T + +478 +00:56:19,620 --> 00:56:26,180 +تربية مشتقة واحد على T بسالب واحد على T تربية نجيب + +479 +00:56:26,180 --> 00:56:38,280 +المشتقة الثانيةيبقى YW' يسوى VW' في 1 على T ماقص + +480 +00:56:38,280 --> 00:56:44,060 +V' في 1 على T تربيع + +481 +00:56:47,810 --> 00:56:53,730 +يبقى الان اشتقت اتنين هذول كمشتقت حصل ضرب دلتين + +482 +00:56:53,730 --> 00:56:59,210 +يبقى + +483 +00:56:59,210 --> 00:57:08,120 +ناقص V' في 1 على T تربيعجنة ناقص من ثبت ال V + +484 +00:57:08,120 --> 00:57:14,120 +ومشتقت هذه كان T والسلب تاني يبقى سالب اتنين T + +485 +00:57:14,120 --> 00:57:21,220 +والسلب تلاتة مع السلب بصير موجب اتنين V على T تكيب + +486 +00:57:21,220 --> 00:57:30,380 +يبقى موجب V في اتنين على T تكيب + +487 +00:57:36,150 --> 00:57:42,750 +تمام يبقى هاي جيبت Y' وYW' الان بدى ارجع اعوض وين + +488 +00:57:42,750 --> 00:57:47,710 +في المعادلة الاصلية سميها ليها دى كنا بنسميها قبل + +489 +00:57:47,710 --> 00:57:56,490 +هيك مين ليه star يبقى بنجي نقول هنا substitute and + +490 +00:57:56,490 --> 00:58:04,690 +the differential equation star we get + +491 +00:58:35,520 --> 00:58:43,960 +الان تربيع في الـ + +492 +00:58:43,960 --> 00:58:52,300 +v double prime على t وهذه عبارة عن تنتين ناقص + +493 +00:58:52,300 --> 00:58:53,500 +اتنين + +494 +00:59:04,390 --> 00:59:10,830 +V على T تكعيب هذا ال term الأول ال term التاني + +495 +00:59:10,830 --> 00:59:16,470 +زائد تلاتة T في ال Y prime Y prime اللي هو الأولى + +496 +00:59:16,470 --> 00:59:27,340 +V prime على TV' على T ناقص V على T تربية اللي + +497 +00:59:27,340 --> 00:59:34,240 +بعدها زائد Y زائد V على T كل هذا الكلام بده يساوي + +498 +00:59:34,240 --> 00:59:41,240 +من؟ بده يساوي Zero طبعاً Y هي اللي فرضناها V في 1 + +499 +00:59:41,240 --> 00:59:47,210 +على T يعني V على T هي V على Tطيب انفك الأقواس هذه + +500 +00:59:47,210 --> 00:59:54,450 +بصير انا mean T في ال V Double Prime ناقص اتنين V + +501 +00:59:54,450 --> 01:00:03,130 +Prime زائد اتنين على T كله في ال V زائد تلاتة في V + +502 +01:00:03,130 --> 01:00:13,650 +Prime ناقص تلاتة V على Tنقص ثلاثة V على T زائد V + +503 +01:00:13,650 --> 01:00:20,450 +على T كله بده يساوي Zero اتطلع لي الى ناقص اتنين V + +504 +01:00:20,450 --> 01:00:29,410 +Prime و تلاتة V Primeو تلاتة V' في غيرهم و مش + +505 +01:00:29,410 --> 01:00:35,870 +غيرهم طيب بظل عندنا T في ال V Double Prime و بظل + +506 +01:00:35,870 --> 01:00:45,170 +عندنا هنا زائد V Prime2 على T واحدة يبقى هذه مع + +507 +01:00:45,170 --> 01:00:51,190 +هذه بيصيروا تلاتة مع سالب تلاتة مع السلامة بروح + +508 +01:00:51,190 --> 01:00:56,650 +هذا الكلام بده يساوي مين بده يساوي زرع زي ما انت + +509 +01:00:56,650 --> 01:01:02,930 +شايف ال equation with v missing يبقى هذه equation + +510 +01:01:02,930 --> 01:01:15,430 +with v missing طيب تماماذا بدي اقول let z تسوى v + +511 +01:01:15,430 --> 01:01:20,810 +prime هذا بدي اعطيك ان z prime بدي تسوى v double + +512 +01:01:20,810 --> 01:01:29,610 +prime يبقى لتصبح المعادلة T z prime زائد z بدي سوى + +513 +01:01:29,610 --> 01:01:38,450 +قداش zero او بقدر اقول لو z prime زائد واحد على T + +514 +01:01:38,450 --> 01:01:46,710 +في zيبدو يساوي zero او بقدر اقول z prime على z + +515 +01:01:46,710 --> 01:01:58,390 +يساوي ناقص واحد على Tإن كامل يبقى هذا الكلام لين + +516 +01:01:58,390 --> 01:02:07,490 +absolute value لز يسوى ناقص لين absolute value ل T + +517 +01:02:07,490 --> 01:02:15,680 +زاد constant C1 شو رأيك أجيب اللي نات عن بعضيبقى + +518 +01:02:15,680 --> 01:02:22,220 +لو جبت بتيجي بشارات موجب يبقى هنا اش بصير بصير لن + +519 +01:02:22,220 --> 01:02:28,800 +absolute value ل Z لن absolute value ل T تساوي C1 + +520 +01:02:28,800 --> 01:02:36,780 +اظن لن زائد لن تعني لن حاصل الدرب يبقى بصير عندنا + +521 +01:02:36,780 --> 01:02:43,560 +لن absolute value ل ZT يساوي C1 اضايق ال + +522 +01:02:43,560 --> 01:02:49,420 +exponentialنضيع ال line و ندخل ال exponential يبقى + +523 +01:02:49,420 --> 01:02:55,920 +absolute value ل ZT يساوي E وال C1 عمر ال + +524 +01:02:55,920 --> 01:02:59,940 +exponential بياخد قيمة سالبة يبقى ال absolute هو + +525 +01:02:59,940 --> 01:03:10,690 +guiltيبقى باجي بقول يبقى Z T يساوي C و R C تساوي E + +526 +01:03:10,690 --> 01:03:17,170 +و C1 مش E و C1 مقدار ثابت بده ساميها C أسهلي يبقى + +527 +01:03:17,170 --> 01:03:23,150 +بناء عليه بصير Z اللي هي تساوي مين يا بنات فرضناها + +528 +01:03:24,570 --> 01:03:24,970 +V' + +529 +01:03:27,610 --> 01:03:36,280 +بده يساوي C على T طبعا هذه Z زي ما شايفينيبقى C + +530 +01:03:36,280 --> 01:03:45,560 +على T طيب ان كامل الطرفين يبقى هذا بده يعطينا V of + +531 +01:03:45,560 --> 01:03:53,920 +T بده سوى C لإن T بدون absolute value ليش؟ لأنه + +532 +01:03:53,920 --> 01:03:58,880 +قال هنا في المثلة T greater than 0 طبعا يبقى لا + +533 +01:03:58,880 --> 01:04:05,670 +داعي لل absolute valueطيب هدى مين؟ V of T يبقى C + +534 +01:04:05,670 --> 01:04:14,000 +لإن T زاد constant لمن C تولى ثابت التكاملبنان + +535 +01:04:14,000 --> 01:04:19,080 +عليه بقدر اخد c بواحد و بقدر اخد c اتنين يبقى داشر + +536 +01:04:19,080 --> 01:04:30,380 +بزيرو يبقى هنا take c تساوي واحد صحيح and c اتنين + +537 +01:04:30,380 --> 01:04:39,420 +يساوي زيرو we get بنحصل علامين على v of t بده + +538 +01:04:39,420 --> 01:04:45,510 +يساوي لان ال tيبقى هذا بده يعطيلك the other + +539 +01:04:45,510 --> 01:04:51,410 +solution is + +540 +01:04:51,410 --> 01:05:05,030 +هه ال Y2 بده ساوي V of T في 1 على T يبقى لإن T على + +541 +01:05:05,030 --> 01:05:05,430 +T + +542 +01:05:08,160 --> 01:05:12,700 +السؤال هو جالي هاتلي solution تاني collinearly + +543 +01:05:12,700 --> 01:05:16,360 +independent مع الحل اللي عندنا هذا يبقى شو بدنا + +544 +01:05:16,360 --> 01:05:21,900 +نعمل؟ بدنا نجيب الرونسكين تبع الحالين يبقى بده + +545 +01:05:21,900 --> 01:05:27,880 +أجيبله الآن الرونسكين تبع الحل الأول اللي هو 1 على + +546 +01:05:27,880 --> 01:05:35,790 +T و الحل التاني لن T على Tيبقى هاي المحدد واحد و + +547 +01:05:35,790 --> 01:05:40,970 +الله ايش رايك ليه السهولة بدي اقول T السالب واحد و + +548 +01:05:40,970 --> 01:05:47,210 +هنا T السالب واحد في لنة T بدل ما اخليها كثور + +549 +01:05:47,210 --> 01:05:54,430 +هيكسلي بس في الكتابة بدنا نشتاق يبقى سالب T السالب + +550 +01:05:54,430 --> 01:06:01,410 +اتنامهذه المشتقة حاصل ضرب دلتين تي و السلب واحد في + +551 +01:06:01,410 --> 01:06:08,310 +واحد على تي تمام يعني تي و السلب اتنين صح ولا لا + +552 +01:06:08,310 --> 01:06:13,430 +يبقى هذه والله خليها على خطوطين يبقى تي و السلب + +553 +01:06:13,430 --> 01:06:21,890 +واحد في واحد على تين سالب اللي هو تي و السلب اتنين + +554 +01:06:21,890 --> 01:06:29,190 +في لن التيمرة ثانية انا اقعد واحد على ت ماذا + +555 +01:06:29,190 --> 01:06:33,360 +اكتبتيه والسلب واحدلن ال T على T بالكتابة T + +556 +01:06:33,360 --> 01:06:35,780 +والسالب واحد لن T + +557 +01:07:01,870 --> 01:07:09,790 +يبقى هذه في هذه بيصير T أسالب اتنين في واحد على T + +558 +01:07:09,790 --> 01:07:17,150 +يعني T أسالب تلاتة يبقى هاي T أسالب تلاتة خلاصنا + +559 +01:07:17,150 --> 01:07:23,870 +الترمينات ناقص T أسالب واحد في هذه بيصير T أسالب + +560 +01:07:23,870 --> 01:07:31,620 +تلاتة في لن TT السالب تلاتة في الان ال T هذا + +561 +01:07:31,620 --> 01:07:38,680 +الرئيسي نقص الثانوي مع النقص بيصير زائد T السالب + +562 +01:07:38,680 --> 01:07:45,670 +تلاتة في من؟ في الان ال Tهذول اتنين بيروحوا مع بعض + +563 +01:07:45,670 --> 01:07:53,370 +بيظل عندي قداش T أُس سالب تلاتة وهذا لا يساوي زيرو + +564 +01:07:53,370 --> 01:08:01,070 +السبب because انه T greater than zero مدام هيك + +565 +01:08:01,070 --> 01:08:03,950 +يبقى اتنين هذول شو بيعملوا ليه؟ linearly + +566 +01:08:03,950 --> 01:08:12,880 +independent solution لمين للمعادلة اللي عندنايبقى + +567 +01:08:12,880 --> 01:08:22,060 +هنا الواحد عالتي and الانتيالات + +568 +01:08:22,060 --> 01:08:29,680 +are linearly independent solutions + +569 +01:08:29,680 --> 01:08:31,100 +of + +570 +01:08:42,010 --> 01:08:53,990 +يبقى بيناه يعني صار the general solution is Y + +571 +01:08:53,990 --> 01:09:07,190 +تساوي C1 في 1 عالة T زي C2 في 1 عالة T في لنة T + +572 +01:09:07,590 --> 01:09:12,450 +يبقى هذا حل المعادلة التفاضلية يبقى طريقة ال + +573 +01:09:12,450 --> 01:09:16,270 +reduction of order دائما و أبدا منالجة لها إذا + +574 +01:09:16,270 --> 01:09:22,870 +اعطان مين أحد الحلول و طلب الحل الثاني سواء كانت + +575 +01:09:22,870 --> 01:09:27,270 +المعادلة بمعاملات ثابتة أو ماهياش بمعاملة ثابتة + +576 +01:09:27,270 --> 01:09:31,630 +طلعوا ال tactic اللي اتبعنا هنا نتبع أن ده حل أي + +577 +01:09:31,630 --> 01:09:36,790 +سؤال آخر بطريقة مين ال reduction of order و بنحب + +578 +01:09:36,950 --> 01:09:40,830 +انحطكوا علم ان هذا النوع من المسائل بيكرره + +579 +01:09:40,830 --> 01:09:46,050 +المدرسين كتير في الامتحانات و خاصة الامتحان النصفي + +580 +01:09:46,050 --> 01:09:51,050 +الأول لو رجعتي لامتحانات السابقة بتلاقي دائما و + +581 +01:09:51,050 --> 01:09:56,670 +أبدا بيجيبوا سؤال على هذا الموضوع حدا فيكم بتحب + +582 +01:09:56,670 --> 01:10:04,410 +تسألاني سؤال هنا خلاصنا ال section خلاص طيب بدنا + +583 +01:10:04,410 --> 01:10:09,130 +نكتبه الآن في الزاوية اللي فوقأرقام المسائل تبعت + +584 +01:10:09,130 --> 01:10:14,890 +هذا ال section وال section اللي جابله يبقى + +585 +01:10:14,890 --> 01:10:19,410 +exercises تلاتة + +586 +01:10:19,410 --> 01:10:26,590 +أربعة المسائل التالية من سبعة لغاية اتنين وعشرين + +587 +01:10:26,590 --> 01:10:34,360 +ال oddوبنضيف عليهم سؤال سبعة وعشرين وسؤال تسعة + +588 +01:10:34,360 --> 01:10:39,540 +وعشرين بنجي ال exercises تلاتة خمسة اللي بين إيدنا + +589 +01:10:39,540 --> 01:10:49,180 +من واحد إلى أربع تاشر القد بنضيف عليهم من تلاتة + +590 +01:10:49,180 --> 01:10:55,020 +وعشرين لغاية تلاتين القد كذلك + +591 +01:11:00,620 --> 01:11:04,920 +طب حد فيكم بتحب تسأل أي سؤال ابتداه من section 3-1 + +592 +01:11:04,920 --> 01:11:11,860 +لغاية 3-5 اللي هو مين ال homogenous second order + +593 +01:11:11,860 --> 01:11:15,600 +differential equation with constant coefficients + +594 +01:11:15,600 --> 01:11:18,500 +او ال section الأخير هذا سواء كانت constant + +595 +01:11:18,500 --> 01:11:23,880 +coefficients او ماهياش constant coefficients اه في + +596 +01:11:23,880 --> 01:11:28,360 +اي تساؤل؟بقى لدينا سيكشينين اللي هو الـ non + +597 +01:11:28,360 --> 01:11:33,300 +homogeneous differential equation هنبدأ في أحدهم + +598 +01:11:33,300 --> 01:11:39,160 +الآن + +599 +01:11:39,160 --> 01:11:44,100 +اللي هو الـ non homogeneous equations و بدأ ناخد + +600 +01:11:44,100 --> 01:11:48,080 +أول طريقة اللي هو طريقة الـ undetermined + +601 +01:11:48,080 --> 01:11:52,520 +coefficients يبقى سيكشين تلاتة ستة + +602 +01:12:10,660 --> 01:12:19,040 +Undetermined coefficients طريقة المعاملات المجهولة + +603 +01:12:22,370 --> 01:12:26,830 +الـ Non-homogeneous هنحلها بطريقتين بدنا ناخد + +604 +01:12:26,830 --> 01:12:29,490 +الطريقة الأولى و ال section اللى جاى ان شاء الله + +605 +01:12:29,490 --> 01:12:36,470 +بناخد الطريقة الثانية يبقى هنمهد ذلك بنظريتين بدنا + +606 +01:12:36,470 --> 01:12:49,310 +ناخد النظرية الأولى يقول if Y1 and Y2 are two + +607 +01:12:49,310 --> 01:12:50,390 +solutions + +608 +01:13:13,920 --> 01:13:24,610 +تساوي y double prime z p of tزي دي Q of T Y بده + +609 +01:13:24,610 --> 01:13:36,050 +ساوي G of T بده ساوي G of T وهذه سامعوني المعادلة + +610 +01:13:36,050 --> 01:13:56,600 +رقم واحد then اللي هو مين؟Y1-Y2 is a solution of + +611 +01:13:56,600 --> 01:14:06,690 +the homogeneous differential equationاللي هو ال L + +612 +01:14:06,690 --> 01:14:13,870 +of Y بده يساوي Y double prime زايد P of T في ال Y + +613 +01:14:13,870 --> 01:14:19,950 +prime زايد ل P of T في ال Y بده يساوي Zero وسميها + +614 +01:14:19,950 --> 01:14:31,690 +للمعادلة رقم اتنين Also و كذلك if Y واحد and Y + +615 +01:14:31,690 --> 01:14:40,660 +اتنين smallهو مجموعات حلول مجموعات + +616 +01:14:40,660 --> 01:14:49,620 +حلول + +617 +01:14:49,620 --> 01:15:00,000 +مجموعات حلول مجموعات حلول مجموعات + +618 +01:15:22,390 --> 01:15:23,790 +Y1Y2Y1Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2 + +619 +01:15:25,650 --> 01:15:34,290 +حيث C1 and C2 + +620 +01:15:34,290 --> 01:15:40,090 +are constants يبقى دول ثابت + +621 +01:16:00,210 --> 01:16:13,590 +النظرية بتقول لو عندي capital Y1 و capital Y2 هم + +622 +01:16:13,590 --> 01:16:17,370 +حالين لمن؟ للـ non homogeneous differential + +623 +01:16:17,370 --> 01:16:24,430 +equationطيب هذا ما قطعت يبقى then الفرق في ما + +624 +01:16:24,430 --> 01:16:28,270 +بينهما يعني الفرق ما بين الحالين تبعين ال non + +625 +01:16:28,270 --> 01:16:34,550 +homogeneous هو عبارة عن حل ال homogeneous حالين لل + +626 +01:16:34,550 --> 01:16:38,870 +non homogeneous الفرق بينهما هو حل ال homogeneous + +627 +01:16:38,870 --> 01:16:43,170 +differential equationيعني لو كان g of t بقداش ب + +628 +01:16:43,170 --> 01:16:48,810 +zero هذا المطلوب الأول قال also و كذلك لو كان y1 + +629 +01:16:48,810 --> 01:16:52,250 +small و y2 small fundamental set of solutions + +630 +01:16:52,250 --> 01:16:57,610 +للمعادلة رقم اتنين اللي عندنا هنا يبقى ال y واحد و + +631 +01:16:57,610 --> 01:17:01,210 +y اتنين مادام حل بدي يكونوا على الشكل c واحد y + +632 +01:17:01,210 --> 01:17:04,610 +واحد زاد c اتنين y اتنين اللي هو ال general + +633 +01:17:04,610 --> 01:17:08,970 +solution لمن ال differential equation الاتنين اللي + +634 +01:17:08,970 --> 01:17:14,510 +عندناهذه العجيلة البرهة يبقى لان انا لدي معادلة + +635 +01:17:14,510 --> 01:17:21,130 +تفاضلية ولها حلان إذا الحلان الاتنين هذول بيحققوا + +636 +01:17:21,130 --> 01:17:27,470 +من المعادلة التفاضلية يبقى باجي بقوله since بما أن + +637 +01:17:27,470 --> 01:17:40,430 +Y1 وY2 are two solutions of the + +638 +01:18:04,550 --> 01:18:05,950 +Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1 + +639 +01:18:07,860 --> 01:18:19,390 +الـ L of Y2 يساوي كذلك G of Tيعني ال differential + +640 +01:18:19,390 --> 01:18:23,550 +linear operator لما يأثر على الحل الأول بده يساوي + +641 +01:18:23,550 --> 01:18:28,150 +G of T وكذلك لما يأثر على الحل التاني بده يساوي G + +642 +01:18:28,150 --> 01:18:34,370 +of T طيب تعالى نشوف ال linear operator لو أثر على + +643 +01:18:34,370 --> 01:18:41,510 +capital Y1 ناقص capital Y2 شو بده يعطينا؟الان هذا + +644 +01:18:41,510 --> 01:18:47,670 +linear مادام linear إذا بده يؤدي الغراب المطلوب + +645 +01:18:47,670 --> 01:18:55,790 +ماشي يا بنا ماعناش مشكلة يبقى L of Y1 minus Y2 بده + +646 +01:18:55,790 --> 01:19:02,370 +يساوي هذا الآن مؤثر خاطي مادام مؤثر خاطي إذا بقدر + +647 +01:19:02,370 --> 01:19:09,410 +أقول L of Y1 ناقص L of Y2 + +648 +01:19:11,520 --> 01:19:19,660 +طيب هذا ليش since ال L is linear لكن لو ماكنش + +649 +01:19:19,660 --> 01:19:23,840 +linear ماقدرش اكتب الشكل هذا منها يبقى هذا الكلام + +650 +01:19:23,840 --> 01:19:32,740 +بدي يساوي L of Y one هايو جديش G of T والتاني G of + +651 +01:19:32,740 --> 01:19:39,500 +T يبقى النتيجة جديشيبقى اصبح كأن y1 نقص y2 هو + +652 +01:19:39,500 --> 01:19:44,520 +solution لمين للمعادلة رقم 2 اللي بدها تستوي 0 + +653 +01:19:44,520 --> 01:19:53,860 +يبقى بالي بقول له this means that هذا يعني ان y1 + +654 +01:19:53,860 --> 01:19:59,840 +minus y2 is a solution + +655 +01:20:10,660 --> 01:20:15,360 +يبقى الفرق بينما بينهم هو حل مين لل homogenous + +656 +01:20:15,360 --> 01:20:20,820 +differential equation رقم اتنينبقولي ايضا لو كان + +657 +01:20:20,820 --> 01:20:25,700 +هدول بيكونولي fundamental set of solutions يبقى + +658 +01:20:25,700 --> 01:20:34,960 +باجي بقوله since بما ان y1 and y2 form a + +659 +01:20:34,960 --> 01:20:40,540 +fundamental set + +660 +01:20:40,540 --> 01:20:45,460 +of solutions + +661 +01:20:45,460 --> 01:20:47,560 +of + +662 +01:20:48,590 --> 01:20:58,330 +The differential equation اتنين The general + +663 +01:20:58,330 --> 01:21:11,510 +solution is Y تساوي C1Y1 زي C2Y2 + +664 +01:21:14,540 --> 01:21:18,720 +مصبور يبقى هدول اتنين بيكونوني fundamental set of + +665 +01:21:18,720 --> 01:21:21,660 +solution للمعالج رقم اتنين يبقى ال general + +666 +01:21:21,660 --> 01:21:30,060 +solution بلاجة of equation اتنين as يبقى على الشكل + +667 +01:21:30,060 --> 01:21:36,440 +التالييبقى هذا شكل الحل العام للمعادلة رقم 2 يبقى + +668 +01:21:36,440 --> 01:21:41,020 +بناء عليه أي حل المعادلة رقم 2 بدي يكون على مين؟ + +669 +01:21:41,020 --> 01:21:44,400 +على الشكل اللي عندنا هذا لكن احنا في المطلوب الأول + +670 +01:21:44,400 --> 01:21:50,000 +أثبتنا ان y1-y2 هو عبارة عن solution للمعادلة 2 + +671 +01:21:50,000 --> 01:21:55,450 +صحيح ولا لا؟ إذا ال y1-y2 بدي ياخد مين؟الشكل هذا + +672 +01:21:55,450 --> 01:22:01,230 +يبقى بقى بقول since بما أن capital Y1 minus + +673 +01:22:01,230 --> 01:22:11,490 +capital Y2 is a solution of equation two we have + +674 +01:22:12,290 --> 01:22:19,430 +يبقى بد يصير capital Y1 ناقص capital Y2 بد يسوى + +675 +01:22:19,430 --> 01:22:28,130 +C1Y1 زايد C2Y2 وهو المطلوب في انا كمان نظرية تانية + +676 +01:22:28,130 --> 01:22:33,370 +بس اصغر من النظرية هذه و بتعتمد عليها مباشرة + +677 +01:22:44,980 --> 01:22:55,580 +يبقى بدنا نيجي لنظرية رقم اتنين theorem two بتقول + +678 +01:22:55,580 --> 01:23:07,700 +ما ياتي let L of Y بده ساوي YW prime P of T في Y + +679 +01:23:07,700 --> 01:23:14,580 +prime Q of T في Yبدي أساوي G of T و هذه اللي + +680 +01:23:14,580 --> 01:23:21,680 +المعادلة الرقم 1 تبعت المرة الماضية ب a non + +681 +01:23:21,680 --> 01:23:31,440 +homogeneous differential equation F + +682 +01:23:31,440 --> 01:23:40,780 +capital Y of Tis a particular solution is a + +683 +01:23:40,780 --> 01:23:46,060 +particular solution + +684 +01:23:46,060 --> 01:23:55,620 +is a particular solution of the differential + +685 +01:23:55,620 --> 01:24:02,500 +equation one and + +686 +01:24:02,500 --> 01:24:12,580 +y oneوWhy too small are + +687 +01:24:12,580 --> 01:24:15,720 +fundamental + +688 +01:24:15,720 --> 01:24:19,920 +set + +689 +01:24:19,920 --> 01:24:30,560 +of solutions of + +690 +01:24:30,560 --> 01:24:34,220 +the homogeneous + +691 +01:24:37,620 --> 01:24:44,400 +differential equation الى y double prime زيادة p + +692 +01:24:44,400 --> 01:24:49,700 +of t في ال y prime زيادة q of t في ال y بده يساوي + +693 +01:24:49,700 --> 01:24:55,760 +زيرو وهذه المعادلة رقم اتنين then the general + +694 +01:24:55,760 --> 01:24:56,840 +solution + +695 +01:25:05,060 --> 01:25:14,420 +the general solution of the differential equation + +696 +01:25:14,420 --> 01:25:18,640 +one has the form + +697 +01:25:34,530 --> 01:25:41,670 +C1Y1T C2Y2T YT + +698 +01:26:06,310 --> 01:26:11,250 +مرة تانية نظرية بنات زى ما تشوفين بتعتمد بشكل + +699 +01:26:11,250 --> 01:26:15,550 +مباشر على النظرية اللى قبلها بيقول افترض انه عندى + +700 +01:26:15,550 --> 01:26:18,070 +non homogeneous differential equation اللى هى one + +701 +01:26:18,070 --> 01:26:25,250 +هاديلو فرضت ان capital Y of T هو حل خاص particular + +702 +01:26:25,250 --> 01:26:29,750 +solution يعني حل خاص لمن؟ لل homogenous + +703 +01:26:29,750 --> 01:26:34,590 +differential equation 1 وفي نفس الوقت كان Y1 صغير + +704 +01:26:34,590 --> 01:26:39,150 +و Y2 صغير حالين او اتنين بشكل fundamental set of + +705 +01:26:39,150 --> 01:26:41,330 +solutions لل homogenous + +706 +01:26:47,540 --> 01:26:52,220 +يبقى ال general solution لل equation 1 مجموعة حل + +707 +01:26:52,220 --> 01:26:56,920 +ال homogenous الخاص و حل ال non homogenous يبقى f + +708 +01:26:56,920 --> 01:27:02,140 +of t حل المعادلة التفاضلية بيكون c1y1 زي c2 y2 هذا + +709 +01:27:02,140 --> 01:27:04,360 +حل من ال homogenous + +710 +01:27:14,220 --> 01:27:23,880 +بيرهان بسيط جدا بدي اقوله let phi of t and capital + +711 +01:27:23,880 --> 01:27:31,040 +Y of T be two solutions + +712 +01:27:31,040 --> 01:27:36,420 +of equation one + +713 +01:27:38,940 --> 01:27:45,800 +إذا الفرق فيما بينهما حل مين للـ equation 2 بواسط + +714 +01:27:45,800 --> 01:27:53,260 +النظرية اللي فوق، صحيح ولا لا؟ يبقى بايThe first + +715 +01:27:53,260 --> 01:28:00,560 +theorem بالنظرية الأولى اللى أخدناها اللى هو Phi + +716 +01:28:00,560 --> 01:28:12,560 +of T ناقص capital Y of T is a solution of the + +717 +01:28:12,560 --> 01:28:17,200 +differential equation two + +718 +01:28:33,560 --> 01:28:38,880 +طب كويس، إذا الفرق في ما بينهما هو حل ال equation + +719 +01:28:38,880 --> 01:28:43,260 +2، طب داجر ال equation 2 مين ال general solution + +720 +01:28:43,260 --> 01:28:49,060 +تبعها؟ و اي واحد هو ال fundamental set of + +721 +01:28:49,060 --> 01:28:53,080 +solutions، قال لي لو كان واحد و اي واحد، باجي + +722 +01:28:53,080 --> 01:29:01,620 +بقوله هنا sense the fundamental set + +723 +01:29:03,640 --> 01:29:17,280 +of solutions of equation او since y1 + +724 +01:29:17,280 --> 01:29:24,300 +and y2 since y1 + +725 +01:29:24,300 --> 01:29:32,220 +and y2 are fundamental set of solution of equation + +726 +01:29:32,810 --> 01:29:42,690 +to the general solution + +727 +01:29:42,690 --> 01:29:58,370 +of equation 2 is y تساوي c1 y1 زي c2 y2 يبقى + +728 +01:29:58,370 --> 01:30:02,790 +الساعةالفرق فيه ما بين هدا اللي قولنا solution لل + +729 +01:30:02,790 --> 01:30:05,990 +equation اتنين و هذا ال general solution يبقى + +730 +01:30:05,990 --> 01:30:13,230 +اتنين هدول يبقى Phi of T ناقص capital Y of T بديه + +731 +01:30:13,230 --> 01:30:18,250 +سوى C1Y1 زائد C2Y2 + +732 +01:30:19,250 --> 01:30:27,350 +نضيف موجة بالحل هذا للطرفين يبقى بصير Y of T C1 Y1 + +733 +01:30:27,350 --> 01:30:36,630 +زائد C2 Y2 زائد Y of T هذا شكل main and non + +734 +01:30:36,630 --> 01:30:47,150 +homogeneous هذا is the solution of the non + +735 +01:30:50,420 --> 01:30:59,520 +Homogenous Differential Equation 1 لحد + +736 +01:30:59,520 --> 01:31:02,620 +هنا اصبنا اكتر من نظرياتك ماعنديش في هذا ال + +737 +01:31:02,620 --> 01:31:07,960 +section يبقى من الأن فصاعدا لما بنحل مثلة non + +738 +01:31:07,960 --> 01:31:13,020 +homogeneous differential equation بد من بدي + +739 +01:31:13,020 --> 01:31:18,510 +particular solutionوبدي الحل العام لل homogenous + +740 +01:31:18,510 --> 01:31:21,930 +differential equation بجمع الحلين بيعطينا الحل + +741 +01:31:21,930 --> 01:31:25,570 +العام لل non homogenous differential equation يبقى + +742 +01:31:25,570 --> 01:31:29,570 +المرة القادمة ان شاء الله بدنا نبدأ في أول طريقة + +743 +01:31:29,570 --> 01:31:33,960 +من طرق الحلHomogeneous differential equation هي + +744 +01:31:33,960 --> 01:31:38,520 +طريقة الـ Undetermined coefficients والطريقة + +745 +01:31:38,520 --> 01:31:42,860 +الثانية الى section 3-6 بنسميها طريقة ال variation + +746 +01:31:42,860 --> 01:31:48,320 +of parameters تغيير المتغيرات أو الوسيطات اللى + +747 +01:31:48,320 --> 01:31:52,880 +موجودة وين فى المسألة ال Undetermined coefficients + +748 +01:31:52,880 --> 01:31:57,600 +بتعتمد على المعادلة التفاضلية اللى المعاملات + +749 +01:31:57,600 --> 01:32:01,880 +تبعتها ثابتأما ال variation المعاملات ليست + +750 +01:32:01,880 --> 01:32:05,920 +بالضرورة أن تكون ثوابت، ثوابت ماشي ماهياش ثوابت، + +751 +01:32:05,920 --> 01:32:09,100 +ماشي فالمرة القادمة ان شاء الله تعالى + diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/RDSrZpOLp38_postprocess.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/RDSrZpOLp38_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..1c345e816692dc68b6cb60e17b212000f96f9824 --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/RDSrZpOLp38_postprocess.srt @@ -0,0 +1,3272 @@ +1 +00:00:09,340 --> 00:00:14,560 +بسم الله الرحمن الرحيم المرة اللى فاتت بدأنا + +2 +00:00:14,560 --> 00:00:19,320 +بتعريف لبلاس ترانسفورم وحسبنا لبلاس ترانسفورم + +3 +00:00:19,320 --> 00:00:24,160 +مجموعة من الدوال اليوم ان شاء الله هنعطيكم مجموعة + +4 +00:00:24,160 --> 00:00:28,040 +من الدوال و لبلاس ترانسفورم اللى موجودة قبالك في + +5 +00:00:28,040 --> 00:00:28,560 +جدول + +6 +00:00:39,960 --> 00:00:45,300 +موضوع اليوم موضوع solution of initial value + +7 +00:00:45,300 --> 00:00:48,770 +problemsيبقى احنا عندنا initial value problem + +8 +00:00:48,770 --> 00:00:54,230 +بنحاول نوجد الحل هذا تبع المعادلة باستخدام Laplace + +9 +00:00:54,230 --> 00:01:00,770 +transform احنا في البداية حلينها حل عادي زمان ثم + +10 +00:01:00,770 --> 00:01:05,730 +بعد ذلك حلينها بال C resolution ثم الآن بنحل نفس + +11 +00:01:05,730 --> 00:01:09,650 +المعادلة ب Laplace transform بس Laplace transform + +12 +00:01:09,880 --> 00:01:14,180 +فقط هنستخدمه للدوال with constant coefficient + +13 +00:01:14,180 --> 00:01:18,240 +للمعادلات التفاضلية و with constant coefficients + +14 +00:01:18,240 --> 00:01:23,420 +يبقى المعاملات كلهما لهم ثوابت و ليست أي معاملة + +15 +00:01:24,270 --> 00:01:27,370 +فبجي بقول في هذا ال section we shall use Laplace + +16 +00:01:27,370 --> 00:01:31,290 +transform لنستخدم تحويلات لابلاس مشان الحل ال + +17 +00:01:31,290 --> 00:01:36,490 +initial value problems مسائل القيم الحدية for + +18 +00:01:36,490 --> 00:01:40,310 +linear differential equations للمعادلات الخطية + +19 +00:01:40,310 --> 00:01:46,620 +with constant coefficients بمعاملات ثابتة ذاتيعني + +20 +00:01:46,620 --> 00:01:51,220 +بدنا نترجم الكلام اللى قولناه قبل بصيغة أخرى that + +21 +00:01:51,220 --> 00:01:54,580 +is we shall solve the differential equation a y + +22 +00:01:54,580 --> 00:01:58,720 +double prime زيادة b y prime زيادة c y يساوي zero + +23 +00:01:58,720 --> 00:02:02,660 +طبعا ال a و ال b و ال c constant لإن احنا جايلين + +24 +00:02:02,660 --> 00:02:07,020 +with constant coefficients ما لها by Laplace + +25 +00:02:07,020 --> 00:02:12,020 +transform بتحويلات Laplaceنحاول نحل المعادلات اللى + +26 +00:02:12,020 --> 00:02:15,580 +بتكون على الشكل اللى قدامنا هذه باستخدام او + +27 +00:02:15,580 --> 00:02:20,180 +باستخدام التحويلات لبلاس لكن احنا المرة اللى فاتة + +28 +00:02:20,180 --> 00:02:26,680 +أخدنا لبلاس للدوال ولم ناخد لبلاس للمشتقات مظبوط + +29 +00:02:26,680 --> 00:02:30,780 +أخدنا لبلاس للدوال العادية وشوفنا كيف بناسمه بدنا + +30 +00:02:30,780 --> 00:02:36,300 +نيجي الآن نعطي نظرية تتحدث عن كيفية إيجاد لبلاس + +31 +00:02:36,300 --> 00:02:40,000 +للمشتقة الأولى لبلاس للمشتقة الثانيةلابلاس + +32 +00:02:40,000 --> 00:02:43,800 +ترانسفورم للمشتقة ثالثة لابلاس ترانسفورم للمشتقة + +33 +00:02:43,800 --> 00:02:50,000 +أنونية يبقى النظرية بتقول لو كان لابلاس ال F prime + +34 +00:02:50,000 --> 00:02:54,460 +exist يبقى في هذه الحالة لكل ال S اللي أكبر من A + +35 +00:02:54,460 --> 00:03:00,960 +then لابلاس ترانسفورم لل F prime of T عمليا سيسوى + +36 +00:03:00,960 --> 00:03:06,220 +S في لابلاس ال F of T ناقص ال F of Zero أثناء + +37 +00:03:06,220 --> 00:03:09,900 +الكتابة واحنا بنحلممكن ما نكتبش الكلام اللي عندنا، + +38 +00:03:09,900 --> 00:03:14,940 +هنروح نكتب S في capital Y of S مين capital Y of S؟ + +39 +00:03:14,940 --> 00:03:19,040 +هو لا plus لمين؟ للي F of T لإن احنا قولنا لا plus + +40 +00:03:19,040 --> 00:03:24,000 +للي F of T بقطعة دالة في S تمام؟ ولمّا كانت + +41 +00:03:24,000 --> 00:03:30,730 +المسألة بدلالة Y كلهافبروح بقول capital Y of S + +42 +00:03:30,730 --> 00:03:34,330 +ناقص F of zero اللي هي قيمة الدالة عند ال zero + +43 +00:03:34,330 --> 00:03:39,550 +يعني قيمة ال Y عند ال zero F هذي هذي لبالك مش F + +44 +00:03:39,550 --> 00:03:45,270 +هذي هه هذي هه ممكن أقولك هذي G of T مش هم + +45 +00:03:45,270 --> 00:03:50,030 +ماتلأخبطيش يبقى هذي G of T يبقى ال F of T تبعتنا + +46 +00:03:50,030 --> 00:03:57,950 +هذي هي Y تمام؟أذا بقول مرة تانية Laplace transform + +47 +00:03:57,950 --> 00:04:04,450 +لل F prime of T هو S في Laplace لل F of T نقص F of + +48 +00:04:04,450 --> 00:04:10,310 +Zero عمليا هكتب S في capital Y of S نقص Y of Zero + +49 +00:04:10,310 --> 00:04:13,310 +طبعا في الكتاب مكتوب هيكفى احنا بنكتب هذا الكتاب و + +50 +00:04:13,310 --> 00:04:16,730 +هذا الكتاب لكن عند الشغل العملي ممكن اكتب هذه + +51 +00:04:16,730 --> 00:04:20,370 +مباشرة و بديش اللي جابلها لإن انا شغلي بده أجيب + +52 +00:04:20,370 --> 00:04:28,220 +capital Y of SY of S هو Laplace تبع F of T يعني + +53 +00:04:28,220 --> 00:04:32,480 +أنا بس باعد كتابة المعادلة من جديد يعني بده اكتب + +54 +00:04:32,480 --> 00:04:37,240 +هذه دغري و اكتب مين اكتب هذه طيب هذا Laplace + +55 +00:04:37,240 --> 00:04:40,940 +للمشتقة الأولى تعالى اخدى Laplace للمشتقة الثانية + +56 +00:04:40,940 --> 00:04:46,460 +as a function of T يبقى الأولى بعدين بمين بS تانية + +57 +00:04:47,880 --> 00:04:52,140 +الثالثة استكايب الرابعة S أس أربعة وبتبدأ الأس + +58 +00:04:52,140 --> 00:04:57,180 +ينقص كل ten بنقص من الأس واحد طلعيلي هنا يبقى S + +59 +00:04:57,180 --> 00:05:02,800 +تربية في ال plus لل F of T كله بناقص بعده ناقص + +60 +00:05:02,800 --> 00:05:07,380 +الاستربية صارت هنا إيش S أجاني F of Zero بعدها + +61 +00:05:07,380 --> 00:05:13,590 +مشتقة ال F and Man and Zeroأو عملياً هقول S تربيع + +62 +00:05:13,590 --> 00:05:20,090 +في capital Y of S ناقص S في Y عند ال zero ناقص Y + +63 +00:05:20,090 --> 00:05:26,540 +prime عند ال zeroعليها بنروح نجيب لبلاس المشتقة + +64 +00:05:26,540 --> 00:05:31,160 +التالتة لبلاس المشتقة الرابعة in general بروح بقول + +65 +00:05:31,160 --> 00:05:36,880 +لبلاس للمشتقة النونية يبقى بده أبدأ S أُس N S أُس + +66 +00:05:36,880 --> 00:05:40,840 +N ناقص واحد S أُس N ناقص اتنين وضل نزل لغاية موصل + +67 +00:05:40,840 --> 00:05:47,260 +ل S و آخر term لا يوجد فيه S تمام مرة تانية يبقى + +68 +00:05:47,260 --> 00:05:52,340 +لبلاس للتفاضل رقم N عند T بده يساوي S أُس N في + +69 +00:05:52,340 --> 00:05:56,860 +لبلاس F of Tأو لسهولة N's that fold سأبدأ فيها دي + +70 +00:05:56,860 --> 00:06:03,000 +دوري يبقى S أس N في capital Y of S ناقص S أس N + +71 +00:06:03,000 --> 00:06:08,320 +ناقص واحد في Y and Zero وبعد هيك باب المشتقة + +72 +00:06:08,320 --> 00:06:11,740 +الأولى المشتقة دي يعني المشتقة بتطلع و S مالها + +73 +00:06:11,740 --> 00:06:16,020 +بتنزل عكس بعضهذه الأس تبعها بنزل وهذه المشتقة + +74 +00:06:16,020 --> 00:06:19,120 +تبعها بتطلع، مشتقة الأولى، المشتقة التانية، + +75 +00:06:19,120 --> 00:06:24,520 +التالتة، الرابعة إلى آخرها يبقى S أس N كابتال Y of + +76 +00:06:24,520 --> 00:06:30,440 +S ناقص S أس N ناقص واحد Y عند ال zero ناقص S أس N + +77 +00:06:30,440 --> 00:06:35,620 +ناقص اتنين Y prime عند ال zeroاللي بعدها يبقى S + +78 +00:06:35,620 --> 00:06:40,640 +أُس N ناقص ثلاثة و Y W Prime and Zero أظل ماشي + +79 +00:06:40,640 --> 00:06:45,720 +لغاية S Y to the derivative N ناقص اتنين and Zero + +80 +00:06:45,720 --> 00:06:50,580 +آخر term مافيش فيه S زي ماكان آخر term هنا كله + +81 +00:06:50,580 --> 00:06:54,900 +مافيش فيه S تمين في Y to the derivative N minus ال + +82 +00:06:54,900 --> 00:07:01,480 +one and Zero يعني آخر term هنا بيكون هو المشتقة + +83 +00:07:01,480 --> 00:07:07,290 +فلعينمشتقة تانية أخر ترم بيكون مين؟ مشتقة الأولى + +84 +00:07:07,290 --> 00:07:12,270 +يعني لو كانت المشتقة التالتة بيصير أخر ترم مشتقة + +85 +00:07:12,270 --> 00:07:18,510 +الثانية و هكذا تمام؟ طيب الآن بدنا نروح نشتغل عملي + +86 +00:07:18,510 --> 00:07:22,730 +يعني بنشوف كيف التطبيق العملي لصيغة اللي موجودة + +87 +00:07:22,730 --> 00:07:26,910 +هذه طيب السؤال قبل ما تبدأ هذه الصيغة بدنا نحفظها؟ + +88 +00:07:27,050 --> 00:07:31,690 +لا بدناش يجيك تحفظيها تمام؟ هعطيك إياها في جدول + +89 +00:07:31,690 --> 00:07:36,850 +موجود الصيغة عندك هنا المهم بدي كيف أستخدمها بعد + +90 +00:07:36,850 --> 00:07:42,890 +قليل هقولكوا كيف بدنا نشتغل بالجدول هذا ال .. الآن + +91 +00:07:42,890 --> 00:07:47,890 +بدنا نيجي نحل مثال على هذا الكلام طيب قال لي حل + +92 +00:07:47,890 --> 00:07:53,620 +المعادلة التفاضلية ولم يتكلم كلمةسأخبرك ان انا + +93 +00:07:53,620 --> 00:08:02,160 +ممكن احل الطريقة القديمة باستخدام + +94 +00:08:02,160 --> 00:08:07,660 +لابلاس ترانسفورم لتحل الاختصار الاختصار الاختصار + +95 +00:08:07,660 --> 00:08:12,380 +الاختصار الاختصار الاختصار الاختصار الاختصار + +96 +00:08:12,380 --> 00:08:19,260 +الاختصار الاختصار الاختصار الاختصار الاختصار + +97 +00:08:19,260 --> 00:08:20,040 +الاختصار الاختصار الاختصار الاختصار الاختصار + +98 +00:08:20,040 --> 00:08:22,410 +الاختصار الاختصار الاختصار الاختصطريقتنا القديمة + +99 +00:08:22,410 --> 00:08:26,490 +وبالطريقة من؟ لجديدة لإنه ماقالليش قاللي solve the + +100 +00:08:26,490 --> 00:08:32,950 +following initial value problems بس تمام إذا أنا + +101 +00:08:32,950 --> 00:08:36,890 +لو أجالي السؤال بهذا الشكل لامتحان ليه الحرية أحل + +102 +00:08:36,890 --> 00:08:40,610 +بالطريقة اللي بديها يبقى أنا لو بده أحل بالطريقة + +103 +00:08:40,610 --> 00:08:50,700 +القديمة بقوله هيك solutionلت يتساوي E of RT be a + +104 +00:08:50,700 --> 00:09:01,180 +solution of equation one then the characteristic + +105 +00:09:01,180 --> 00:09:04,520 +equation is + +106 +00:09:06,610 --> 00:09:12,430 +أر تربية ناقص ار ناقص اتنين يساوي زيرو هذه لو جيت + +107 +00:09:12,430 --> 00:09:18,750 +احللها كحاصل ضرب قوسين ويساوي زيرو يبقى هنا ار هنا + +108 +00:09:18,750 --> 00:09:25,510 +ار هنا واحد هنا اتنين هنا ناقص هنا زائد هي ناقص ار + +109 +00:09:25,510 --> 00:09:30,630 +وناقص اتنين ار بضل ناقص ار هي في النص ومنها ار one + +110 +00:09:30,630 --> 00:09:37,770 +تساوي سالب واحدوR2 تساوي كده؟ تساوي اتنين، تمام؟ + +111 +00:09:37,770 --> 00:09:45,350 +إذا صار إن الحل هو Y يساوي C1 في E أس ناقص T زائد + +112 +00:09:45,350 --> 00:09:53,610 +C2 في E أس اتنين Tيبقى هذا الحل اللى احنا اتعلمناه + +113 +00:09:53,610 --> 00:09:59,570 +قبل طبعا الحين مابديش الحل هذا بدي اروح لحل اخر + +114 +00:09:59,570 --> 00:10:02,990 +بواسط ال initial value problem او ب ال serious + +115 +00:10:02,990 --> 00:10:06,810 +solution بس ان كان بده serious solution بدي اعطيني + +116 +00:10:06,810 --> 00:10:10,710 +نقطة مظبوط هذا ماعطانيش نقطة يبقى in serious + +117 +00:10:10,710 --> 00:10:16,910 +solution طبعا ايه كويس يبقى بداجي ايش بداجي اقوله + +118 +00:10:16,910 --> 00:10:19,010 +هنا another solution + +119 +00:10:24,860 --> 00:10:30,200 +بناخد محل آخر يبقى ناخد Laplace transform للطرفين + +120 +00:10:30,200 --> 00:10:35,440 +يبقى بدي جيلك عندك هنا Laplace transform ل Y + +121 +00:10:35,440 --> 00:10:41,120 +double prime ناقص Y prime زائد اتنين Y بده يساوي + +122 +00:10:41,120 --> 00:10:48,040 +Laplace ل Zero تكامل + +123 +00:10:48,040 --> 00:10:53,380 +EOS ناقص T ضرب Zero في DT يبقى Zero كويس يبقى هذا + +124 +00:10:53,380 --> 00:10:58,460 +بده يساوي Zeroطيب هذا الان linear ل plus linear + +125 +00:10:58,460 --> 00:11:03,100 +function مظبوط اذا هذا شو بده يعطينا بده يعطينا ل + +126 +00:11:03,100 --> 00:11:10,480 +plus لل y double prime ناقص ل plus لل y prime زي + +127 +00:11:10,480 --> 00:11:16,080 +دي اتنين ل plus لل y كله بده يساوي مان؟ بده يساوي + +128 +00:11:16,080 --> 00:11:23,860 +زيرو ايش فيه؟ اه هذه ناقص المثلة خلاص يبقى هذه + +129 +00:11:23,860 --> 00:11:30,850 +ناقصتمام هنا كتبت اه وهنا نقص تمام يبقى كله بالشكل + +130 +00:11:30,850 --> 00:11:33,890 +اللي عنه هذا الان بدي اشيل ال plus لل y double + +131 +00:11:33,890 --> 00:11:39,530 +prime و احط القيمة بتبعته و اشيل ال plus لمن؟ لل y + +132 +00:11:39,530 --> 00:11:43,170 +prime و ال y و احط القيمة بتبعته من وين؟ من الكلام + +133 +00:11:43,170 --> 00:11:47,250 +اللي قعدنا عنه هذا بدي نمسك الأولى ال plus لل y + +134 +00:11:47,250 --> 00:11:52,610 +double prime يبقى هي عبارة عن s تربية في capital Y + +135 +00:11:52,610 --> 00:12:01,350 +of sناقص s في main في ال y عند ال zero ناقص y + +136 +00:12:01,350 --> 00:12:07,800 +prime عند ال zeroيبقى يخلصنا من الجزء الأول اللي + +137 +00:12:07,800 --> 00:12:13,520 +بعده هاي ناقص وبتفتح يقوس حتى ماتخلطيش بده يجي ال + +138 +00:12:13,520 --> 00:12:18,860 +Y prime هي موجودة عند أول واحدة يبقى هي S في + +139 +00:12:18,860 --> 00:12:28,430 +capital Y of S ناقص Y عند ال zeroوصلنا لبعدها نقص + +140 +00:12:28,430 --> 00:12:34,850 +اتنين capital Y of S كل هذا الكلام بده يساوي كده؟ + +141 +00:12:34,850 --> 00:12:42,110 +بده يساوي Zeroاذا بدى اعرف بعد هيك ماهو شكل + +142 +00:12:42,110 --> 00:12:47,170 +capital Y of S بنقولك بسيطة، اذا خلينا نفك هذه + +143 +00:12:47,170 --> 00:12:54,310 +يبقى هذه S تربيع في capital Y of S ناقص S في Y عند + +144 +00:12:54,310 --> 00:12:59,910 +ال zero معطعة، بقدرش؟بواحد يبقى بداشي لو احط + +145 +00:12:59,910 --> 00:13:07,110 +مكانها واحد الان ناقص Y' عند ال zero بقداش بزيرو + +146 +00:13:07,110 --> 00:13:13,870 +مع السلامة خلصنا ال term الأول بداجي هذا ناقص S في + +147 +00:13:13,870 --> 00:13:20,170 +capital Y of S ناقص في ناقص بزائد Y عند ال zero + +148 +00:13:20,170 --> 00:13:28,230 +بقداش بواحداللي بعدها نقص اتنين capital Y of S بده + +149 +00:13:28,230 --> 00:13:34,530 +يساوي Zero طلعيلي ال term هذا و ال term هذا و ال + +150 +00:13:34,530 --> 00:13:40,050 +term هذافيهم capital Y of S، صحيح ولا لأ؟ إذا + +151 +00:13:40,050 --> 00:13:44,170 +بتاخدوا عامل مشترك من الكلشو، بيبقى لدي هنا، بيبقى + +152 +00:13:44,170 --> 00:13:53,390 +لدي S ترابيع، ناقص S، ناقصي 2، كله في capital Y of + +153 +00:13:53,390 --> 00:14:01,440 +Sهذه ناقص S في واحد بناقص S هذه Zero مع السلام + +154 +00:14:01,440 --> 00:14:06,540 +الله يسهل عليها هذه زائد واحد قلصت كله بده يساوي + +155 +00:14:06,540 --> 00:14:12,800 +كده؟ بده يساوي Zero اللي فيها capital Y of S بده + +156 +00:14:12,800 --> 00:14:17,720 +اخليها في شجة و الباقي وين؟ في شجة تانيةأنا بديش + +157 +00:14:17,720 --> 00:14:23,220 +هذه انا بدي capital Y of S فبروح بقوله capital Y + +158 +00:14:23,220 --> 00:14:32,360 +of S بدي سوى S ناقص واحد تقسيم S زائد واحد في مين + +159 +00:14:32,360 --> 00:14:41,580 +في S ناقص اتنين واضح ان اختصارات ماعنديش طيب كيف + +160 +00:14:41,580 --> 00:14:43,060 +بدي أسوي فيها هذه + +161 +00:14:45,990 --> 00:14:49,470 +بقول بسيطة جدا سمعنا بال partial fractions في + +162 +00:14:49,470 --> 00:14:55,250 +Calculus B كسور الجزئية اذا بروح بحلل هذا الكسر + +163 +00:14:55,250 --> 00:15:01,090 +الى مجموع كسرين او تلاتة او اربعة حسب طبيعة المثلة + +164 +00:15:01,090 --> 00:15:07,830 +بجيب اطلع انا عند المقام اللي هو قوسين وقوس التاني + +165 +00:15:07,830 --> 00:15:13,400 +يبقىDifferent coefficients، معاملات مختلفة، إذا + +166 +00:15:13,400 --> 00:15:18,080 +باجي بقوله هذا الكلام يساوية، هذا جوس، اللي هو + +167 +00:15:18,080 --> 00:15:24,060 +الـS زائد واحد، الجوس اللي هو زائد و هذا كسر و هذا + +168 +00:15:24,060 --> 00:15:30,980 +التانيبعد هيك باجي بقول كل واحد من المقامات مختلف + +169 +00:15:30,980 --> 00:15:35,920 +عن الثاني وكل واحد من الدرجة الأولى إذا بقول + +170 +00:15:35,920 --> 00:15:41,580 +constant على الأول و constant على من؟ على الثاني و + +171 +00:15:41,580 --> 00:15:46,620 +بعد براجع معلوماتي في calculus بيه بدي أجيب قداش + +172 +00:15:46,620 --> 00:15:53,280 +قيمة كل من a و b بعد بقول بتيجي على هذه المعادلة + +173 +00:15:53,280 --> 00:16:00,000 +كلهامش هانا بالسماء هذه، بدي أروح أضرب الطرفين في + +174 +00:16:00,000 --> 00:16:04,980 +المقام، يبقى لو روحت ضربت الطرفين في المقام هذه، + +175 +00:16:04,980 --> 00:16:10,930 +هتعطيني مين؟أس ناقص واحد اللي هو فوق ضربته هنا + +176 +00:16:10,930 --> 00:16:18,270 +هيختصر معاني هذه هتعطيني مين تساوي A في S ناقص + +177 +00:16:18,270 --> 00:16:28,010 +اتنين بدي هضرب هنا زائد B في S زائد واحد تمام؟ + +178 +00:16:28,010 --> 00:16:32,250 +الحين بده اجيب A وB بيبقى اشتغل الشغل اللي بدكيا + +179 +00:16:32,250 --> 00:16:42,580 +فبجي بقول لو كانتS تساوي سالب واحدسالب واحد سالب + +180 +00:16:42,580 --> 00:16:48,700 +واحد يساوي سالب واحد و سالب واحد سالب تلاتة يبقى + +181 +00:16:48,700 --> 00:16:54,580 +سالب تلاتة ايه وهذه مع السلامة اذا ايه يا بنات + +182 +00:16:54,580 --> 00:17:01,760 +تساوي قداش تساوي تلتين بالموجة يبقى الايه هتساوي + +183 +00:17:01,760 --> 00:17:08,720 +تلتين تمام اتتمام طيب لو كانت ال S تساوي اتنين + +184 +00:17:10,470 --> 00:17:17,770 +اتنين ناقص واحد تساوي اتنين + +185 +00:17:17,770 --> 00:17:27,010 +واحد تلاتة بي يبقى تلاتة بي ومنها يبقى بي بدها + +186 +00:17:27,010 --> 00:17:32,510 +تساوي مضال هنا واحد و هنا تلاتة بي تساوي تلت + +187 +00:17:34,690 --> 00:17:41,850 +يبقى صرف مسألتي على الشكل التالي يبقى capital Y of + +188 +00:17:41,850 --> 00:17:51,270 +S يساوي ال A عندي بتلتين يبقى هاي تلتين على S زائد + +189 +00:17:51,270 --> 00:17:59,730 +واحد على S زائد واحد اللي بعده B بتلت يبقى زائد + +190 +00:17:59,730 --> 00:18:08,060 +تلت على S ناقص اتنينهذه مقادير ثابتة يعني بقدر + +191 +00:18:08,060 --> 00:18:15,620 +اقول هذا الكلام يساوي تلتين في جداش في واحد على + +192 +00:18:15,620 --> 00:18:25,020 +مين على اس زائد واحد تمام هنا زائد تلت في مين في + +193 +00:18:25,020 --> 00:18:32,640 +واحد على اس ناقص اتنين بالشكل اللي عندنا طيب + +194 +00:18:32,640 --> 00:18:39,940 +هو جالي هات الحلأنا جبت الأن لبلاس ترانسفورم للحل، + +195 +00:18:39,940 --> 00:18:44,060 +مظبوط؟ أنا بديش لبلاس ترانسفورم، أنا بدي الحل + +196 +00:18:44,060 --> 00:18:48,840 +itself لأن هنا فوق جيبنا حل، ولو أننا لسه ماجيبناش + +197 +00:18:48,840 --> 00:18:52,100 +ال initial continuous ممكن أروح هذه و أجيب C1 و C2 + +198 +00:18:52,100 --> 00:18:56,400 +قداش تساوي، الحين هوريك قداش C1 يساوي 2 و بدك أنت + +199 +00:18:56,400 --> 00:19:00,500 +تروح تكمل الحل اللي فوق و تتبت أنه C1 هو الرقم + +200 +00:19:00,500 --> 00:19:05,170 +اللي بدي يطلع عنه هنا و C2 هو نفس الرقمبس خلينا + +201 +00:19:05,170 --> 00:19:11,370 +نشوف الان كيف بدنا نجيب هذه هذي شو أصلها يا بنات؟ + +202 +00:19:11,370 --> 00:19:21,630 +exponential E أس سالب T هذي شو أصلها؟ E أس اتنين T + +203 +00:19:21,630 --> 00:19:26,410 +طبعا احنا + +204 +00:19:26,410 --> 00:19:29,970 +مطلوب نحفظ و لا بدنا اش نحفظ المرة اللي فاتت + +205 +00:19:29,970 --> 00:19:35,280 +قلتلكوا بتجيبوا الكتب معاكماللي جابت كتابها جابته، + +206 +00:19:35,280 --> 00:19:39,820 +واللي ما جابتش أخدت احتياطاتي وجبتلكوا الجدول + +207 +00:19:39,820 --> 00:19:47,620 +المصور صفحة 319 تمام؟ يلا وزعوا بحيث كل مقعد يكون + +208 +00:19:47,620 --> 00:19:53,080 +عليه ورقات جدول، يلا خد يلا وزع الباقى، بسرعة + +209 +00:19:53,080 --> 00:19:58,300 +بسرعة يلامن حد ما نوصل للشكل اللي عندنا هذا يبقى + +210 +00:19:58,300 --> 00:20:01,540 +capital Y of this اللي هو Laplace transform لل + +211 +00:20:01,540 --> 00:20:05,680 +solution يسوى الجزء اللي عندنا هذا إذا بناء عليه + +212 +00:20:05,680 --> 00:20:12,940 +بروح بقوله solution of + +213 +00:20:15,300 --> 00:20:22,860 +differential equation one is بتقولي لي y small as + +214 +00:20:22,860 --> 00:20:28,300 +a function of t يساوي يبقى هذا ل plus transform + +215 +00:20:28,300 --> 00:20:34,500 +لدى لهذا هو الأصل تبعها يبقى بده يساوي جداش هنا + +216 +00:20:34,500 --> 00:20:41,230 +طولتين يبقى هاي طولتين بخليها زي ما هيو باجي لمن؟ + +217 +00:20:41,230 --> 00:20:46,030 +ل الواحد على S زائد واحد، كلكوا افتحوا لي في + +218 +00:20:46,030 --> 00:20:49,010 +الكتاب صفحه التلاتمية وتسعة عشر او الورق اللي + +219 +00:20:49,010 --> 00:20:53,710 +وزعنالكوا عليها هذه سبيكي من العمود اللي ع الشمال + +220 +00:20:53,710 --> 00:20:59,210 +بتاخد العمود اللي على اليمين بروح بدور عندي على S + +221 +00:20:59,210 --> 00:21:05,430 +وراحت على S زائد واحدبطلع في النقطة رقم اتنين + +222 +00:21:05,430 --> 00:21:12,530 +مكتوب واحد على اس ناقص ايه بواحد مظبوط لكنها دهاش + +223 +00:21:12,530 --> 00:21:17,250 +بالزائد تمام يبقى هنا لما صارت بالزائد معناته هي + +224 +00:21:17,250 --> 00:21:27,050 +اي أس سالب ا ت يعني اي أس سالب ت يبقى هنا صار + +225 +00:21:27,050 --> 00:21:34,900 +تلتين في اي أس سالب تبعدها زائد تلت اللي هو اللي + +226 +00:21:34,900 --> 00:21:40,300 +برا هاي تلت اللي برا واحد على اس ناقص اتنين برضه + +227 +00:21:40,300 --> 00:21:46,060 +نفس النقطة نقطة رقم اتنين واحد على اس ناقص ايه + +228 +00:21:46,060 --> 00:21:53,180 +اجبالها جداش E أس ETيبقى هذا ههه اللي هي مين اللي + +229 +00:21:53,180 --> 00:22:02,960 +هي الدالة و هذا لابلاس ترانسفورم اللي هي اللي هي + +230 +00:22:02,960 --> 00:22:02,980 +اللي هي اللي هي اللي هي اللي هي اللي هي اللي هي + +231 +00:22:02,980 --> 00:22:03,180 +اللي هي اللي هي اللي هي اللي هي اللي هي اللي هي + +232 +00:22:03,180 --> 00:22:03,260 +اللي هي اللي هي اللي هي اللي هي اللي هي اللي هي + +233 +00:22:03,260 --> 00:22:19,260 +اللي هي اللي + +234 +00:22:19,260 --> 00:22:28,180 +هييبقى هذا الحل المطلوب يبقى + +235 +00:22:28,180 --> 00:22:33,580 +بدك + +236 +00:22:33,580 --> 00:22:38,040 +تشتق الحل هذا مرتين و تجي تعوض من حوض التكامل وهي + +237 +00:22:38,040 --> 00:22:42,280 +الجواب عندك زي ما كنا بنعمل قبل طبعا الشغل اللي + +238 +00:22:42,280 --> 00:22:46,100 +اشتغلته هو هذا السبب اللي خلاني اشتغله لإن ما جول + +239 +00:22:46,100 --> 00:22:51,080 +مجلش جلي صلفه سكتتمام؟ فاضطريت انا و قلت ان دي بدل + +240 +00:22:51,080 --> 00:22:55,200 +الحل اتنين لكن لو قاللي من البداية use Laplace + +241 +00:22:55,200 --> 00:23:00,820 +transform اذا automatic بدى اروح مباشرة على + +242 +00:23:00,820 --> 00:23:04,500 +Laplace transform اللي همام القطوة الثانية هذه + +243 +00:23:04,500 --> 00:23:10,200 +ماشي؟ حد بتحب تسأل اي سؤال قبل مواصل الأمثلة؟ + +244 +00:23:10,200 --> 00:23:13,420 +ماعنديش كل المحاضرة أمثلة؟ مافيش هذا نظري، قلص + +245 +00:23:13,420 --> 00:23:19,610 +النظريهل بتحب تسأل اي سؤال؟ طبعا انا قولتلك ال + +246 +00:23:19,610 --> 00:23:22,710 +derivative بتاعه بديش يا كنت احفظيه طلعيلي في اخر + +247 +00:23:22,710 --> 00:23:30,550 +سطر عندك اخر سطر بتاعك مكتوب عندك هنا اللي هو اللي + +248 +00:23:30,550 --> 00:23:36,730 +على الشمال عندك F to the derivative N F و فوقها N + +249 +00:23:36,730 --> 00:23:41,460 +بين جسين as a function of Tاللي جبالها سطر طويل + +250 +00:23:41,460 --> 00:23:46,960 +هذا اليومين لبلاس ترانسفورم للمشتق قانونية لF + +251 +00:23:46,960 --> 00:23:50,980 +شايفينه اللي قُتول ساعة قبل شوية كتبناه على + +252 +00:23:50,980 --> 00:23:56,440 +اللواحي آخر سطر تحت S أُس N capital F of S اللي + +253 +00:23:56,440 --> 00:24:00,400 +احنا مايقولاش عليها capital Y of S اللي بعدها S + +254 +00:24:00,400 --> 00:24:04,480 +أُس N ناقص واحد F of Zero ناقص ناقص لغاية آخر term + +255 +00:24:04,480 --> 00:24:10,590 +F of N ناقص واحد عند من عند Zeroكل F حط في مكانها + +256 +00:24:10,590 --> 00:24:15,310 +Y بنكون A نفس الكلام اللي كتبناه هنا على اللوح قبل + +257 +00:24:15,310 --> 00:24:21,630 +قليل تمام؟ كل سؤال هيطلع الشكل مش دايما بدي يطلع + +258 +00:24:21,630 --> 00:24:25,950 +exponential زي هذه بس سؤال يطلع exponential بقدر + +259 +00:24:25,950 --> 00:24:30,010 +الله يمكن يطلع الجواب T to the power N يمكن Sine + +260 +00:24:30,010 --> 00:24:35,880 +يمكن Cos يمكن Gauss يمكن Sine يمكن T في Cosأو تي + +261 +00:24:35,880 --> 00:24:40,120 +في جوش يمكن إلى اخرى اي دالة من مجموعة الدوال ال + +262 +00:24:40,120 --> 00:24:44,360 +18 او ال 19 اللي عندك هدول خلاص؟ و المرة اللي فاتت + +263 +00:24:44,360 --> 00:24:47,160 +ابتدت و حسبنا لا plus لا transform ولا الواحد طلع + +264 +00:24:47,160 --> 00:24:52,600 +قداش وعد الاسلمين اول واحدة فوق جايها عندك في + +265 +00:24:52,600 --> 00:24:59,180 +الجدول اول واحدة فوق تمام؟ طيب نجي ناخد المثال رقم + +266 +00:24:59,180 --> 00:25:05,010 +اتنين يبقى مثال رقم اتنينلا نترككم تايهين نقول لكم + +267 +00:25:05,010 --> 00:25:13,170 +use Laplace transform example example + +268 +00:25:13,170 --> 00:25:25,790 +use + +269 +00:25:25,790 --> 00:25:30,470 +Laplace transform + +270 +00:25:53,960 --> 00:26:03,840 +اول واحدة او نمرة ا او نمرة واحداللي هو من y + +271 +00:26:03,840 --> 00:26:12,580 +double prime ناقص أربعة y prime زائد أربعة y تساوي + +272 +00:26:12,580 --> 00:26:20,780 +زيرو و ال y عند زيرو بده يساوي الواحد و ال y prime + +273 +00:26:20,780 --> 00:26:27,480 +عند زيرو كذلك تساوي كده؟ تساوي واحد solution + +274 +00:26:31,500 --> 00:26:35,880 +يبقى بدي اخد Laplace transform للطرفين مش هشغل + +275 +00:26:35,880 --> 00:26:38,920 +الشغل التفصيلي هذا لأ هدخل Laplace على كل واحدة + +276 +00:26:38,920 --> 00:26:46,240 +فيهم دوري يبقى بداجي اقول Laplace ل Y double prime + +277 +00:26:46,240 --> 00:26:53,680 +ناقص اربعة في Laplace ل Y prime زائد اربعة في + +278 +00:26:53,680 --> 00:26:57,880 +Laplace ل Y Laplace ل Zero بالزينة + +279 +00:27:08,040 --> 00:27:18,680 +نقص S في Y عند Zero ناقص Y عند Zero هذا كله term + +280 +00:27:18,680 --> 00:27:23,420 +الأول اللي بعده ناقص أربعة في + +281 +00:27:29,980 --> 00:27:40,100 +لاقص y عند الـ zero زائد أربعة في مين في capital Y + +282 +00:27:40,100 --> 00:27:41,120 +of S + +283 +00:27:54,030 --> 00:28:04,510 +يبقى ناقص S في واحد و Y prime ناقص واحدنقص اربعة S + +284 +00:28:04,510 --> 00:28:12,630 +في capital Y of S نقص في نقص بزائد اربعة في Y عند + +285 +00:28:12,630 --> 00:28:17,310 +ال zero اللي بقدرش ايه بواحد خلاصنا من القوس هذا + +286 +00:28:17,310 --> 00:28:25,610 +زائد اربعة capital Y of S كله بده يساوي Zeroبعد + +287 +00:28:25,610 --> 00:28:30,710 +ذلك تذهب و تأخذ اللي فيهم capital Y of S مع بعضهم + +288 +00:28:30,710 --> 00:28:39,090 +بقوة سن واحد يبقى S squared ماقص أربعة S زائد + +289 +00:28:39,090 --> 00:28:49,460 +أربعة كله في capital Y of Sضايلة هنا ناقص S وعندك + +290 +00:28:49,460 --> 00:28:57,200 +هنا ناقص واحد وزائد أربعة بظهر زائد تلاتة كله بده + +291 +00:28:57,200 --> 00:29:01,760 +يساوي مين؟ بده يساوي Zero هذه يا بناتيش بتعطينا + +292 +00:29:01,760 --> 00:29:10,240 +المثل هذا باعتبار S ناقص اتنين الكل تربية يبقى S + +293 +00:29:10,240 --> 00:29:17,870 +ناقص اتنين الكل تربيةفاهمين؟ في capital Y of S + +294 +00:29:17,870 --> 00:29:21,630 +يساوي هذي هوديها عليه الشجة التانية يبقى ايش + +295 +00:29:21,630 --> 00:29:29,750 +بيصير؟ S ناقص ثلاثة بناء عليه صار Laplace للحل + +296 +00:29:29,750 --> 00:29:38,050 +capital Y of S بده يساوي S ناقص ثلاثة على S ناقص + +297 +00:29:38,050 --> 00:29:43,470 +اتنين لكل ترابيع الشكل اللي عندناإذا شو بدي أعمل + +298 +00:29:43,470 --> 00:29:49,090 +لهذه؟ بدي أعمل لها partial fractions يبقى هذه + +299 +00:29:49,090 --> 00:29:56,990 +تساوى S ولا لا درجة البسط أقل من درجة المقام يبقى + +300 +00:29:56,990 --> 00:30:04,020 +احنا جاهزين بس المقام من الدرجة الأولى ومكرراذا + +301 +00:30:04,020 --> 00:30:10,200 +بدكر باللي درسنا في calculus بيه بقول S ناقص اتنين + +302 +00:30:10,200 --> 00:30:18,320 +زاد كسر تاني S ناقص اتنين لكل تربيع بالشكل اللي + +303 +00:30:18,320 --> 00:30:24,100 +عنا هنا هذا من الدرجة الأولى بقول A هذا كمان من + +304 +00:30:24,100 --> 00:30:32,410 +الدرجة الأولى و مكرر بقول Bيبقى هكذا، كنا بنعمل + +305 +00:30:32,410 --> 00:30:37,870 +فيه Calculus B الآن بدي أجي لمن؟ للمعادلة اللي + +306 +00:30:37,870 --> 00:30:44,010 +عندنا هذه كلها و بدي أضربها في من؟ في المقام اللي + +307 +00:30:44,010 --> 00:30:48,590 +عندنا هذا، مشان مايضلش عندي كسور، بصير معادلة + +308 +00:30:48,590 --> 00:30:54,250 +عادية، بصير سهل علينا حل هذه المعادلة + +309 +00:31:07,880 --> 00:31:14,320 +طيبنجي نضرب وين؟ في المقام يبقى المعادلة دي بيصير + +310 +00:31:14,320 --> 00:31:24,080 +S ناقص تلاتة تساوي يبقى A في S ناقص اتنين زائد B + +311 +00:31:24,080 --> 00:31:31,520 +يبقى بطل يصير عندي كسور يبقى قدامي اكتر من طريق يا + +312 +00:31:31,520 --> 00:31:36,500 +بحط قيم ل S من عندي زي المثال اللي قبل يا بفكه + +313 +00:31:36,500 --> 00:31:41,200 +بعمل ايه؟ مقارنة بين الطرفينيبقى ذاكرنا كتاب + +314 +00:31:41,200 --> 00:31:45,380 +الطريقة الأولى و الآن سأذكركم بالطريقة الثانية + +315 +00:31:45,380 --> 00:31:52,900 +يبقى هذه يا بنات لو بدها فكهة يبقى AS-2AB + +316 +00:31:54,450 --> 00:32:00,070 +لو جيت الان بالعربي بمقارنة المعاملات في الطرفين + +317 +00:32:00,070 --> 00:32:06,230 +هذا ال term كله ماله مافيش فيه S وهذا هو الوحيد + +318 +00:32:06,230 --> 00:32:12,630 +اللي فيه S يبقى بناء على هذا ال S المعامل تبع ال S + +319 +00:32:12,630 --> 00:32:17,890 +هنا جداش A المعامل تبع هنا اللي هو جداش بواحد إذا + +320 +00:32:17,890 --> 00:32:25,000 +A تساوي واحدالباقي الحد الخالي من S اللي هو ناقص + +321 +00:32:25,000 --> 00:32:30,820 +اتنين A زائد بيها ده كله يعتبر مقدار ثابت المقدار + +322 +00:32:30,820 --> 00:32:37,140 +الثابت جديش عندنا هنا سالب تلاتة باخده بإشارتهالان + +323 +00:32:37,140 --> 00:32:41,880 +a عندي بواحد يبقى المعادلة هذه لو شيلت ال a و حطيت + +324 +00:32:41,880 --> 00:32:48,140 +مكانها واحد بصير ناقص اتنين في واحد زائد بي يسوى + +325 +00:32:48,140 --> 00:32:54,960 +ناقص تلاتة اذا بي تسوى قداش ناقص واحدسالب اتنين + +326 +00:32:54,960 --> 00:32:57,840 +ودعه على الشجة التانية بصير اتنين وسالب تلاتة بضل + +327 +00:32:57,840 --> 00:33:05,220 +جداش سالب واحد يبقى هاي جبتله قيمة ثوابت A وB يبقى + +328 +00:33:05,220 --> 00:33:11,620 +بناء عليه أصبح capital Y of S بده يساوي بده اشيل + +329 +00:33:11,620 --> 00:33:18,610 +ال A وحط قيمته اللي هي بواحديبقى واحد على اس ناقص + +330 +00:33:18,610 --> 00:33:27,490 +اتنين زائد بيبقى ناقص واحد على اس ناقص اتنين لكل + +331 +00:33:27,490 --> 00:33:37,230 +تربيةيبقى هذا يعني لابلاس يتغير الرجل للحل لان بده + +332 +00:33:37,230 --> 00:33:43,990 +يجيب الحل يبقى + +333 +00:33:43,990 --> 00:33:46,130 +بده يجيب الحل + +334 +00:33:51,510 --> 00:33:58,770 +of the initial value problem one is هذه بداية + +335 +00:33:58,770 --> 00:34:07,410 +المثلة سامحالي one نمرة واحديجب ان اقول Y of T بدل + +336 +00:34:07,410 --> 00:34:13,150 +ساعة واحد على S ناقص اتنين توسع جيبنا عليه مين؟ E + +337 +00:34:13,150 --> 00:34:18,770 +أس اتنين T نجي + +338 +00:34:18,770 --> 00:34:24,570 +واحد على S ناقص اتنين الكل تربية يعني بدنا ندور + +339 +00:34:24,570 --> 00:34:30,710 +على مين؟ الواحد على S ناقص الكل تربية في العمود + +340 +00:34:30,710 --> 00:34:35,420 +اللي على اليمين هذابنجي بطلع الأولى لأتانية + +341 +00:34:35,420 --> 00:34:41,040 +التالتة الرابعة الخامسة مش عارف وين انزل وصلنا + +342 +00:34:41,040 --> 00:34:48,940 +لجداش لرقم 11 طلعي لرقم 11 عندك ايش مكتوب عندي in + +343 +00:34:48,940 --> 00:34:54,820 +factorial على s ناقص ال a to the power in minus + +344 +00:34:54,820 --> 00:35:01,590 +oneهذه أقرب واحدة موجودة عندى، صحيح ولا لأ؟ اه بس + +345 +00:35:01,590 --> 00:35:06,090 +ايش انت كاتب هنا؟ انت كاتب واحد ماعنديش factorial + +346 +00:35:06,570 --> 00:35:11,250 +أقول لك لأ ما هو الواحد هو الواحد factorial صحيح + +347 +00:35:11,250 --> 00:35:17,230 +يعني كأنها هداش يا بنات اللي هي واحد على اس ناقص + +348 +00:35:17,230 --> 00:35:24,890 +اتنين ناقص واحد factorial على اس ناقص اتنين اص + +349 +00:35:24,890 --> 00:35:30,260 +واحد زي واحد يعني اني بجداشبواحد اتطلع يبقى هنا + +350 +00:35:30,260 --> 00:35:38,220 +رقم N factorial على S ناقص كله to the power N plus + +351 +00:35:38,220 --> 00:35:44,680 +ال one يبقى بناء عليه هذا شو بدها تكون تي to the + +352 +00:35:44,680 --> 00:35:51,700 +power N ال N عندي انا بقدرش يبقى تي فقطمضبوط + +353 +00:35:51,700 --> 00:35:57,120 +فاهمين في ال E أس ET الإشارة عندنا هنا بالنقص وفي + +354 +00:35:57,120 --> 00:36:03,740 +الجدول عندنا هنا بالنقص يبقى E أس اتنين T بالضبط + +355 +00:36:03,740 --> 00:36:11,600 +تماما رقم 11 طلع فيها كويسبس ان عندك بقدرش بواحد + +356 +00:36:11,600 --> 00:36:19,880 +صحيح وبعد يعني يا بنات أحيانا أحيانا بتلعش النتيجة + +357 +00:36:19,880 --> 00:36:24,220 +هنا أو هنا بالنص زي مين زي ما هو موجود عندى في + +358 +00:36:24,220 --> 00:36:28,520 +الجدول بد تحويرة بسيطة بقى تخليه في صوت الجدول + +359 +00:36:28,520 --> 00:36:32,280 +يبقى جدا تعملي هذه التحويرة ممكن تدربي في رقم + +360 +00:36:32,280 --> 00:36:35,220 +وتجسمي على الرقم أنا التحويرة البسيطة بس قلت + +361 +00:36:35,220 --> 00:36:40,690 +الواحد هو عبارة عن مين؟عن واحد factorial تمام يبقى + +362 +00:36:40,690 --> 00:36:45,670 +انتهى المثال اللي عندنا بروح للمثال ان بعده بروح + +363 +00:36:45,670 --> 00:36:52,810 +للمثال رقم اتنين مثال رقم اتنين بيقول لي Y to the + +364 +00:36:52,810 --> 00:36:58,130 +derivative IV يعني to the derivative four + +365 +00:36:58,130 --> 00:37:04,810 +بالاختصار to the derivative four ناقص Y يسوى Zero + +366 +00:37:05,440 --> 00:37:09,720 +وال condition اللى عندنا y عند ال zero بده يساوي + +367 +00:37:09,720 --> 00:37:14,260 +واحد ال condition التانى y prime عند ال zero بده + +368 +00:37:14,260 --> 00:37:19,480 +يساوي زيرو ال condition التالت y double prime عند + +369 +00:37:19,480 --> 00:37:24,840 +ال zero بده يساوي واحد ال condition الرابع y + +370 +00:37:24,840 --> 00:37:30,220 +triple prime عند ال zero بده يساوي قداش بده يساوي + +371 +00:37:30,220 --> 00:37:30,940 +زيرو + +372 +00:37:33,980 --> 00:37:37,720 +بنحل المثال اللي بين ايديانها دي باستخدام Laplace + +373 +00:37:37,720 --> 00:37:43,060 +transform إذا بدروح أخد Laplace transform لمين؟ + +374 +00:37:43,060 --> 00:37:50,620 +للطرفين يبقى باجي بقوله solution بدي Laplace + +375 +00:37:50,620 --> 00:37:54,660 +transform لل Y to the derivative 4 + +376 +00:37:57,250 --> 00:38:04,450 +نقص لـ plus transform لمن؟ لل Y بده يساوي كدهش؟ + +377 +00:38:04,450 --> 00:38:09,950 +بده يساوي زي ما الان بده اطبق النظرية اللي أخدناها + +378 +00:38:09,950 --> 00:38:14,190 +قبل قليل و اللي موجودة عندك في الجدول آخر سطر + +379 +00:38:15,740 --> 00:38:20,980 +المشتاق قانوني ان ان عندي بقدرش باربع يبقى ابدأ + +380 +00:38:20,980 --> 00:38:28,960 +اقول اس اص اربع يبقى هنا اس اص اربع فاهمين في + +381 +00:38:28,960 --> 00:38:38,020 +capital Y of S ناقص است كيب في ال Y and Zero ناقص + +382 +00:38:38,020 --> 00:38:45,920 +است ربيع في ال Y prime and Zeroناقص S في الـY W' + +383 +00:38:46,600 --> 00:38:53,620 +عند الـ0 ناقص المشتقة التالتة عند الـ0 يبقى هي + +384 +00:38:53,620 --> 00:38:58,700 +طبقت النظرية فقط على مين؟ على Y to the derivative + +385 +00:38:58,700 --> 00:39:06,720 +of 4 مشتقة الرابعة وصلنا لهذه فبجي بقوله ناقص Y of + +386 +00:39:06,720 --> 00:39:13,740 +S بده يساوي مين؟ بده يساوي 0الان بدي اجي أعوض في + +387 +00:39:13,740 --> 00:39:17,800 +هذه المعادلة من ال initial conditions اللي ماتا + +388 +00:39:17,800 --> 00:39:26,060 +عننا يبقى S أُس أربع شو رايك؟ مفيش غير هذه S؟ خدها + +389 +00:39:26,060 --> 00:39:34,960 +بالمرة دوري يبقى ناقص واحد كله في capital Y of Sهي + +390 +00:39:34,960 --> 00:39:38,560 +خلصت الأولى و الأخيرة بقى ال main اللى فى النص + +391 +00:39:38,560 --> 00:39:45,660 +يبقى ناقص s تكيب في y عند ال zero y عند ال zero + +392 +00:39:45,660 --> 00:39:51,280 +اللى بقداش اه بواحد يبقى s تكيب مضروبة فى واحد + +393 +00:39:51,280 --> 00:39:57,820 +ناقص s تربيع في y prime عند ال zero اللى بقداش اه + +394 +00:39:57,820 --> 00:40:04,610 +بزيرومضروبة في Zero اللي بعدها ناقص S في Y double + +395 +00:40:04,610 --> 00:40:10,610 +prime and Zero اللي مضروبة في واحد اللي بعدها ناقص + +396 +00:40:10,610 --> 00:40:15,630 +المشتقة التالتة اللي هو كل Zero يساوي جداش يساوي + +397 +00:40:15,630 --> 00:40:22,320 +Zeroتمام تمام، إذا هذه الرنادق بقدر أحللها كفرق + +398 +00:40:22,320 --> 00:40:31,100 +بين المربعين يبقى هذه S تربيع ناقص واحد في S تربيع + +399 +00:40:31,100 --> 00:40:40,100 +زائد واحد كله في capital Y of Sهذه سنقولها على + +400 +00:40:40,100 --> 00:40:47,740 +الشجة التانية يبقى S تكييب يبقى S تكييب هذي ب Zero + +401 +00:40:47,740 --> 00:40:52,520 +راحت وهذه ب S يبقى زائد S + +402 +00:40:55,110 --> 00:41:00,550 +ماذا رايك؟ اخلي capital Y of S لحالها يبقى هاي + +403 +00:41:00,550 --> 00:41:06,610 +capital Y of S يساوي هاذي في بينهم عامل مشترك يقول + +404 +00:41:06,610 --> 00:41:14,670 +S يبقى لو أخدت S عامل مشترك بظل S تربيع زائد واحد + +405 +00:41:15,780 --> 00:41:22,320 +على تحليل الفرق بين المربعين اللي هو S تربيع ناقص + +406 +00:41:22,320 --> 00:41:29,110 +واحد في S تربيع زائد واحدأظن القوس هذا هو نفس + +407 +00:41:29,110 --> 00:41:34,770 +القوس هذا مع السلامة، إذا هذا السؤال يختلف عن + +408 +00:41:34,770 --> 00:41:40,610 +سابقه في إنه فيه صار عنده اختصارات بين البسط + +409 +00:41:40,610 --> 00:41:45,770 +والمقام، إذا في اختصارات يا بنات بنختصرها، مافيش + +410 +00:41:45,770 --> 00:41:50,790 +اختصارات يبقى كل شيء كما هو + +411 +00:41:53,550 --> 00:42:00,050 +طيب يبقى بناء عليه أصبح عندي capital Y of S بده + +412 +00:42:00,050 --> 00:42:07,430 +يساوي بقي عندي في البصد S والمقام قداشر S تربيع + +413 +00:42:07,430 --> 00:42:12,950 +ناقص واحد ليه كمان فرق بين المربعين اللي هو عبارة + +414 +00:42:12,950 --> 00:42:19,860 +عن S ناقص واحد في S زائد واحديبقى من الحلل دائما + +415 +00:42:19,860 --> 00:42:25,920 +أو أبدا إلى أبسط العوامل الأولية المقام من الدرجة + +416 +00:42:25,920 --> 00:42:30,760 +الثانية البصد من الدرجة الأولى يبقى جاهزين طب هل + +417 +00:42:30,760 --> 00:42:36,200 +ممكن يكون أو لو كان البصد من الدرجة التالتة وش بدي + +418 +00:42:36,200 --> 00:42:42,000 +أعمله؟بنقسم جسمها مطولة ثم بنروح نعمل partially + +419 +00:42:42,000 --> 00:42:47,040 +fractions لكن هيك جاهز بقول constant على الجوس + +420 +00:42:47,040 --> 00:42:54,260 +الأول زائد constant على الجوس الثاني بدون أي مشاكل + +421 +00:42:54,920 --> 00:42:59,680 +بعد ذلك بادرب الطرفين في المقام اللي عندنا هذا، شو + +422 +00:42:59,680 --> 00:43:05,940 +بيصير عندنا؟ بيصير ال S يساوي A في S زائد واحد + +423 +00:43:05,940 --> 00:43:14,080 +زائد B في S ناقص الواحدفبجي بقوله هنا لو كانت ال S + +424 +00:43:14,080 --> 00:43:20,080 +تساوي واحد، بده أحط قيم ل S من عندي، بحيث أضيع أحد + +425 +00:43:20,080 --> 00:43:26,600 +المجهول ويبقى المجهول الثاني، لو كانت ال S بواحد، + +426 +00:43:26,600 --> 00:43:32,700 +يبقى واحد بده يساوي ايه؟ واحد زائد واحد و هذا مع + +427 +00:43:32,700 --> 00:43:38,320 +السلامة اتنين ايه؟ يبقى بناء عليه ال A هتساوي كده؟ + +428 +00:43:38,320 --> 00:43:45,270 +نصالان لو كانت ال S بسالب واحد بطير ايه وبحصل على + +429 +00:43:45,270 --> 00:43:51,870 +مين؟ على B يبقى باجي بقوله لو كانت ال S تساوي سالب + +430 +00:43:51,870 --> 00:43:58,130 +واحد يبقى بصير عندي سالب واحد يساوي هذا بطير وهنا + +431 +00:43:58,130 --> 00:44:03,980 +بظل عندي سالب اتنين Bسالب واحد وسالب واحد يبقى + +432 +00:44:03,980 --> 00:44:10,780 +سالب اتنين بي ومنها بي تساوي كمان كدهش كمان نص + +433 +00:44:10,780 --> 00:44:16,700 +الشكل اللي عندنا اذا اصبح capital Y of this للا + +434 +00:44:16,700 --> 00:44:24,350 +plus transform للحل بده يساوي هاي نصوعندك واحد على + +435 +00:44:24,350 --> 00:44:33,630 +اس ناقص واحد تمام؟ وهنا بيه كمان بنص واحد على اس + +436 +00:44:33,630 --> 00:44:40,030 +زائد واحد تمام؟ + +437 +00:44:40,030 --> 00:44:46,290 +طيب لو جيش جماعة تقولوله مرة و يعني؟ مش من فاهم؟ + +438 +00:44:47,540 --> 00:44:54,520 +منها ممكن اخلق كل واحد زي ما هو هذا يقفع لي E قصتي + +439 +00:44:54,520 --> 00:45:01,450 +وهذا E قص ناقصتي تمام؟يجيب اجمعهم مرة واحدة + +440 +00:45:01,450 --> 00:45:05,370 +يابانين هذا بدلة ال exponential والاسم هنا افضل + +441 +00:45:05,370 --> 00:45:08,690 +حاجة لو كيف تبدأ بال exponential اقع على كل الحطب + +442 +00:45:08,690 --> 00:45:10,210 +بس انا مابديش دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت + +443 +00:45:10,210 --> 00:45:12,730 +دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت + +444 +00:45:12,730 --> 00:45:15,410 +دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت + +445 +00:45:15,410 --> 00:45:23,870 +دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت + +446 +00:45:23,870 --> 00:45:26,350 +دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت دلوقت + +447 +00:45:26,350 --> 00:45:31,870 +دلوقت دلوقت دلوقت دلطيب هذا الكلام يساوي نص مهيئ + +448 +00:45:31,870 --> 00:45:39,270 +جزء ده واحد المقامات ك S ناقص واحد بS زائد واحد + +449 +00:45:47,990 --> 00:45:54,450 +تمام؟ يبقى هذا نص فيه ناقص واحد وزايد واحد مع + +450 +00:45:54,450 --> 00:46:01,150 +السلامة بيظل عندنا اتنين S وهذا الفرق بين المربعين + +451 +00:46:01,150 --> 00:46:05,190 +يبقى S تربيع ناقص واحد + +452 +00:46:08,140 --> 00:46:15,920 +مص مع اتنين مع السلامة يبقى بالدقاج ل S على S + +453 +00:46:15,920 --> 00:46:17,800 +تربيع ناقص واحد + +454 +00:46:22,050 --> 00:46:26,470 +يبقى التنتين عندي ماشي، ماعنديش مشكلة، هذه وهذه + +455 +00:46:26,470 --> 00:46:30,850 +الاتنين صح، لكن انا هفكر في تفكير اخر غير التفكير + +456 +00:46:30,850 --> 00:46:36,310 +المباشر، اي نعم، باجي الآن على الجدول و بطلع، طبعا + +457 +00:46:36,310 --> 00:46:41,460 +انا اتعمدتهتعملها بالطريقة ده ليش؟ بده يخليك تروح + +458 +00:46:41,460 --> 00:46:46,380 +تجيبيها من الجدول، يعني انا عندي S على S تربية مش + +459 +00:46:46,380 --> 00:46:51,160 +ناقص واحد، S تربية ناقص A تربية و بعد هيك ال A + +460 +00:46:51,160 --> 00:46:56,580 +بواحد، دي بجباجي بتطلع على ال S على S تربية ناقص + +461 +00:46:56,580 --> 00:47:01,840 +واحد، اللي هو مين يا بناتي؟ دي رقم جديش؟تمانية + +462 +00:47:01,840 --> 00:47:07,840 +ممتاز جدا تمانية فيها عندي a على s تربية ناقص a + +463 +00:47:07,840 --> 00:47:14,200 +تربية ال a هنا عندى مقداش اللي هو بواحد تمام يبقى + +464 +00:47:14,200 --> 00:47:20,100 +هنا s على s تربية ناقص واحد يبقى هذه جوش واحد في T + +465 +00:47:20,100 --> 00:47:25,480 +يعني جوش T تمام يبقى بناء عليه solution + +466 +00:47:32,530 --> 00:47:42,050 +Y of T بده يساوي جوش T لو + +467 +00:47:42,050 --> 00:47:47,130 +من البداية ما سويتش هالحركة دي اللي عملتها جيت من + +468 +00:47:47,130 --> 00:47:53,550 +هنا قلت نص و نص خد نص عمل او شركة بضل الأول E أس T + +469 +00:47:53,550 --> 00:48:00,000 +زائد E أس ناقص T على الاتنين يبقى هادي جوش Tيبقى + +470 +00:48:00,000 --> 00:48:03,540 +لو خلتيها زي ما قلتيلي E was تي و E was ناقصتي و + +471 +00:48:03,540 --> 00:48:07,220 +فيها نص يبقى جوشتي كتبتيها دغري يبقى عملت من الأول + +472 +00:48:07,220 --> 00:48:12,220 +دغري أو عملتها بالشكل هذا سيئا و أنا قلتك اتعمد + +473 +00:48:12,220 --> 00:48:16,200 +اكتبها و اواصلها للصيغة هذه عشان اخليك تتعلم + +474 +00:48:16,200 --> 00:48:20,280 +الصيغة جديدة من الجدول غير الصيغة رقم اتنين اللي + +475 +00:48:20,280 --> 00:48:24,860 +اتعلمناها قبل ذلك تمام؟ ايوة + +476 +00:48:38,870 --> 00:48:44,030 +بعد ما اختصرنا يعني S على S تربية ناقص واحدخلاص + +477 +00:48:44,030 --> 00:48:47,350 +يعني اطلعتي Y of S بدل ما عملنا ال partial + +478 +00:48:47,350 --> 00:48:52,110 +friction تقول تقدر بيمشي الحال ماعندي مشكلة تمام؟ + +479 +00:48:52,110 --> 00:48:55,570 +بس ان سميت حالي مش عارف، كويس؟ لإن وانت في + +480 +00:48:55,570 --> 00:48:59,170 +الامتحان بيجيش في بالك خلاص عندك تك تك بده يوصل + +481 +00:48:59,170 --> 00:49:02,850 +لتحليل ويطلع كل واحد، هيكل في دماغك، تمام؟ لكن في + +482 +00:49:02,850 --> 00:49:06,570 +بعض عنده دقة نظر نفسه بيقولي اه لا هذه موجودة في + +483 +00:49:06,570 --> 00:49:09,510 +الجدل، إذا روحت جبتيها في الجدل، الكلام صحي وماحدش + +484 +00:49:09,510 --> 00:49:13,710 +اللي عندك اي اعتراضزي توسع وصلنا هنا وقلنا اكتبها + +485 +00:49:13,710 --> 00:49:16,310 +exponential وقلت لا بديش اكتبها الاكسبونيون روحت + +486 +00:49:16,310 --> 00:49:20,930 +جبت فكرة تانية ووصلنا الى مين الى نفس النتيجة هذه + +487 +00:49:20,930 --> 00:49:25,210 +والله هذه سيئة لكن لاحظتوا الآن احنا أخدنا ثلاثة + +488 +00:49:25,210 --> 00:49:31,310 +أمثلة الطرف اليمين كله zero طب لو كان الطرف اليمين + +489 +00:49:31,310 --> 00:49:35,810 +ده اللي تانية يعني يعني أخدنا ثلاثة أمثلة كله + +490 +00:49:35,810 --> 00:49:38,830 +homogeneous differential طب لو كانت non + +491 +00:49:38,830 --> 00:49:46,550 +homogeneousعندما نقول إليك المثال التالي رقم تلاتة + +492 +00:50:10,080 --> 00:50:18,100 +يبقى مثال رقم تلاتة بيقول لي y double prime ناقص + +493 +00:50:18,100 --> 00:50:29,560 +اتنين y prime زائد اتنين y يساوي E أس ناقص T و y + +494 +00:50:29,560 --> 00:50:35,180 +عند ال zero بده يساوي zero و y prime عند ال zero + +495 +00:50:35,180 --> 00:50:38,700 +بده يساوي واحد + +496 +00:50:53,540 --> 00:51:01,010 +هنا بدنا ناخد الفلاس ترانسفورم للطرفينوعندك لبلاس + +497 +00:51:01,010 --> 00:51:04,470 +ال E أُس T بجيبها كمان منويا من الجدول مش لسه + +498 +00:51:04,470 --> 00:51:08,350 +بضعوها أحسبها زي ما كنا نحسبها المرة الماضية يبقى + +499 +00:51:08,350 --> 00:51:13,910 +باجي بقولك هاي لبلاس transform لل Y double prime + +500 +00:51:13,910 --> 00:51:19,630 +ناقص اتنين لبلاس transform لل Y prime زائد اتنين + +501 +00:51:19,630 --> 00:51:25,810 +لبلاس transform لل Y بده يسوي لبلاس transform لل E + +502 +00:51:25,810 --> 00:51:32,720 +أُس ناقص Tيبقى لها place transform للطرفين بعد هيك + +503 +00:51:32,720 --> 00:51:38,200 +بروح أطبق النظرية اللي أخدناها قبل قليل هذه عبارة + +504 +00:51:38,200 --> 00:51:48,660 +عن S2 في capital Y of S ناقص S في Y عند Zero ناقص + +505 +00:51:48,660 --> 00:51:53,820 +Y prime عند Zeroخلصنا ال term الأول نجي لل term + +506 +00:51:53,820 --> 00:52:01,020 +التاني ناقص اتنين و افتح يقوس S capital Y of S + +507 +00:52:01,020 --> 00:52:07,760 +ناقص Y عند ال zero خلصنا ال term التاني بنجي لل + +508 +00:52:07,760 --> 00:52:15,120 +term التالت زائد اتنين اللي هو main capital Y of S + +509 +00:52:15,120 --> 00:52:19,620 +بالشكل اللي عندنا هذا بده يساويأخدنا الـ plus + +510 +00:52:19,620 --> 00:52:23,480 +للطرف الشمال، بدنا الـ plus للطرف اليمين يبقى + +511 +00:52:23,480 --> 00:52:28,360 +الطرف اليمين من الجدول واحد ع جداش ابناد على S + +512 +00:52:28,360 --> 00:52:36,740 +زائد واحد من الجدول عندك رقم اتنين، تمام؟ طيب، + +513 +00:52:36,740 --> 00:52:41,360 +الان بدنا نيجي نعوض من ال initial conditions في + +514 +00:52:41,360 --> 00:52:49,760 +هذه المعادلةيبقى S2 في capital Y of S ناقص S في Y + +515 +00:52:49,760 --> 00:52:58,540 +عند 0 بقداش؟ ب0 ناقص Y prime of 0 اللي هو 1 ناقص + +516 +00:52:58,540 --> 00:53:08,520 +2S capital Y of S ناقص فناقص بزائد 2 في Y عند 0 + +517 +00:53:08,520 --> 00:53:16,120 +اللي هو 0زائد اتنين capital Y of S يساوي واحد على + +518 +00:53:16,120 --> 00:53:24,180 +S زائد الواحد بتاخدوا اللي فيهم capital Y of S مع + +519 +00:53:24,180 --> 00:53:31,400 +بعض يبقاش بيصير عندنا S square ناقص اتنين S زائد + +520 +00:53:31,400 --> 00:53:38,190 +اتنينكله في capital Y of S هذا راح مع السلامة، ضال + +521 +00:53:38,190 --> 00:53:43,550 +عندي هنا قداش؟ ناقص واحدة و هذا راح مع السلامة + +522 +00:53:43,550 --> 00:53:51,770 +الله يساهل عليه يبقى النتيجة واحد على S زائد واحد + +523 +00:53:51,770 --> 00:54:00,150 +زائد واحد، مظبوط ايه؟طيب، إيش رأيك هذه هيك؟ اللي + +524 +00:54:00,150 --> 00:54:06,090 +هو مين؟ لو حدتلها المقامات كله S زائد واحد، بيصير + +525 +00:54:06,090 --> 00:54:13,670 +واحد زائد S زائد واحد، تمام؟ يعني مين؟ يعني S + +526 +00:54:13,670 --> 00:54:22,580 +زائدي اتنين على S زائد واحدطيب انا بدي capital Y + +527 +00:54:22,580 --> 00:54:32,580 +of S فبجي بقوله capital Y of S يساوي S زائد 2 على + +528 +00:54:32,580 --> 00:54:42,160 +S زائد 1 مقسوما على S تربيع ناقص 2 S زائد 2 سؤال + +529 +00:54:44,430 --> 00:54:49,450 +القوس هذا بتحلل؟ لأ ماقدرش أحلله بيخلّيه زي ما هو + +530 +00:54:49,450 --> 00:54:53,990 +ماشي خلّيه الله بيفرجها ان شاء الله بتفرج يبقى + +531 +00:54:53,990 --> 00:54:57,910 +باجي بقوله هذا الكلام بتروح أعمله ايه عشان partial + +532 +00:54:57,910 --> 00:55:05,230 +fractions يبقى بقوله هذا الكسر وهذا ال S زائد واحد + +533 +00:55:05,230 --> 00:55:12,030 +وهذا زائد وهذا الكسر التاني S square نقص اتنين S + +534 +00:55:12,030 --> 00:55:18,050 +زائد اتنينهذا من الدرجة الأولى يبقى بحطله constant + +535 +00:55:18,050 --> 00:55:24,490 +هذا من الدرجة الثانية ولا يمكن تحليله يعني ماقدرش + +536 +00:55:24,490 --> 00:55:28,650 +أبسطه أكتر من هيك يبقى بده أحط ال bus من الدرجة + +537 +00:55:28,650 --> 00:55:34,590 +الأولى أقل منه بمقدار واحد هذا من الدرجة الثانية + +538 +00:55:34,590 --> 00:55:40,550 +بحطله الدرجة الأولى يبقى بي اس زائد سي + +539 +00:55:42,870 --> 00:55:46,910 +بعد هيك بروح بضرب الطرفين في المقدار اللي عندنا + +540 +00:55:46,910 --> 00:55:56,630 +هنا تمام؟ بصير المعادلة عندي S زائد 2 تساوي A في S + +541 +00:55:56,630 --> 00:56:08,470 +تربيع نقص 2 S زائد 2 زائد ال B في S زائد ال C في + +542 +00:56:08,470 --> 00:56:15,630 +من؟ في ال S زائد ال 1هذا السؤال مش زي اللى قبل هذا + +543 +00:56:15,630 --> 00:56:20,790 +اتقال شوية شكله تمام اتقال والله اخاف مدام بنحل + +544 +00:56:20,790 --> 00:56:25,630 +ماعناهاش مشكلة زيدي اتنين يساوي بده افك الأقواس + +545 +00:56:25,630 --> 00:56:33,610 +هذه لو فكتهاش بصير عندي A S تربيع ناقص اتنين A في + +546 +00:56:33,610 --> 00:56:47,120 +S زيدي اتنين Aزاد بي اس تربيع زاد بي في اس زاد سي + +547 +00:56:47,120 --> 00:56:49,680 +في اس زاد سي + +548 +00:56:52,210 --> 00:56:57,710 +هذا الكلام بدى يساوي بدى أجمع تعين ال S تربيع مع + +549 +00:56:57,710 --> 00:57:02,570 +بعض وتبعين ال S مع بعض و ال constants مع بعض و + +550 +00:57:02,570 --> 00:57:07,070 +أشوف لوين بتوصلنا المعادلة هذه طالعيني هنا بقدر + +551 +00:57:07,070 --> 00:57:13,850 +أقول A زائد ال B كله في ال S تربيع يبقى خلصنا من + +552 +00:57:13,850 --> 00:57:20,140 +هذه و من هذه بدى أدور على اللي فيهم S هذه واحدةوها + +553 +00:57:20,140 --> 00:57:28,440 +دي التانية وها دي التالتة يبقى زائد B زائد ال C + +554 +00:57:28,440 --> 00:57:39,380 +نقص 2A كله في S بلوا الثوابت عند هنا 2A و هنا C + +555 +00:57:39,380 --> 00:57:50,330 +زائد 2A زائد Cكل هذا الكلام S زائد 2 يساوي هذا + +556 +00:57:50,330 --> 00:58:06,570 +المقدار طيب + +557 +00:58:06,570 --> 00:58:12,430 +نبدأ نقارن المعاملات في الطرفين يبقى بناء ان عليهم + +558 +00:58:12,820 --> 00:58:17,460 +الـ A زائد الـ B كم بتساوي يا بنات؟ Zero لإن + +559 +00:58:17,460 --> 00:58:22,580 +ماعنديش S تربية في الطرف الشمال بعدك B زائد C + +560 +00:58:22,580 --> 00:58:29,420 +بيزايد C ناقص اتنين A يساوي معامل الـ S هنا ليه؟ + +561 +00:58:29,420 --> 00:58:35,640 +واحدالمعادلة التالتة اللي هو اتنين A زيدي ال C + +562 +00:58:35,640 --> 00:58:43,100 +يبقى اتنين A زيدي ال C بده يساوي كده؟ بده يساوي + +563 +00:58:43,100 --> 00:58:52,760 +اتنين تمام؟ اذا هذه بتعطيني كده؟ انه B بده يساوي A + +564 +00:58:52,760 --> 00:58:58,940 +بس بالسالب يبقى + +565 +00:58:58,940 --> 00:59:08,210 +ال Bتساوي مين سالب ايه وهذه بتعطينا ان ال C بده + +566 +00:59:08,210 --> 00:59:16,230 +يساوي اتنين ناقص اتنين ايه تمام؟ اذا هروح شو اعمل؟ + +567 +00:59:16,230 --> 00:59:21,610 +اخد ليه اتنين هدول و اعوض في مين؟ في المعادلة اللي + +568 +00:59:21,610 --> 00:59:29,700 +في النصيبقى هنا ال B اللي هي بسالب A وال C اللي هو + +569 +00:59:29,700 --> 00:59:41,340 +بزايد 2 ناقص 2A وهنا عندك كمان ناقص 2A يساوي 1يبقى + +570 +00:59:41,340 --> 00:59:55,680 +هدول كام ايه؟ سالب خمسة ايه؟ سالب خمسة ايه؟ سالب + +571 +00:59:55,680 --> 01:00:04,160 +خمسة ايه؟ سالب خمسة ايه؟ سالب خمسة ايه؟خمس طيب لما + +572 +01:00:04,160 --> 01:00:11,180 +ال a يساوي خمس بيبقى داشر سالب خمس يبقى و ال b بده + +573 +01:00:11,180 --> 01:00:15,980 +يساوي من سالب خمس جبت ال a و ال b بيبقى المين + +574 +01:00:15,980 --> 01:00:23,260 +عندنا ال c يبقى ال c هيساوي اتنين ناقص اتنين في + +575 +01:00:23,260 --> 01:00:33,300 +خمس طبعا يبقى هذا الكلام يساوي اتنين ناقصخمسين + +576 +01:00:33,300 --> 01:00:40,960 +مظبوط؟ يبقى خمسين بدل كده؟ واحد صحيح و تلت أخمس، + +577 +01:00:40,960 --> 01:00:48,580 +مظبوط؟ يعني كده؟ سبعة أخمس؟تمن أخمس بتاكدي؟ طيب لو + +578 +01:00:48,580 --> 01:00:52,440 +وحدنا المقابلات بيصير عشرة ناقص اتنين بتمانى يبقى + +579 +01:00:52,440 --> 01:00:58,640 +فعلا تمن أخمس وليست سبع أخمس كما زعمت قبل قليل + +580 +01:00:58,640 --> 01:01:03,900 +تمام؟ إذا جيبنا ال A والB والC بيخلصنا يبقى + +581 +01:01:03,900 --> 01:01:09,910 +capital Y of S بده يساوييعني ال a plus transform + +582 +01:01:09,910 --> 01:01:14,150 +لدالة اللي هو انا بديه يساوي a على s زائد واحد ال + +583 +01:01:14,150 --> 01:01:23,800 +a بخمس يبقى هذا خمس على s زائد الواحداللي بعدها + +584 +01:01:23,800 --> 01:01:32,100 +بيب سالب خمس يبقى زائد سالب خمس في اس اللي بعدها + +585 +01:01:32,100 --> 01:01:39,760 +سيب تمان أحماس يبقى زائد تمانية على خمسة كله على + +586 +01:01:39,760 --> 01:01:48,820 +اس تربيع نقص اتنين اس زائد اتنين المسألة الآن + +587 +01:01:48,820 --> 01:01:56,340 +مسألة ترتيبية فقط لغيريبقى يا بنات لو أخدت هنا خمس + +588 +01:01:56,340 --> 01:02:04,500 +عامل مشترك ايش بيظل عندى؟ واحد على اس زائد واحدهنا + +589 +01:02:04,500 --> 01:02:13,320 +خط ناقص خمس عامل مشترك ايش بيظل عندى بيظل عندى S + +590 +01:02:13,320 --> 01:02:20,940 +ناقص تمانية على مين على اللي هو المقدار اللي عندنا + +591 +01:02:20,940 --> 01:02:27,040 +شو رايك هذا اللي عندنا بدي أسوى S تربيع ناقص اتنين + +592 +01:02:27,040 --> 01:02:38,820 +S زائد واحد زائد واحد ماشي الحالة؟طيب هذا الكلام + +593 +01:02:38,820 --> 01:02:46,280 +بده يساوي هذا الخمس في واحد على اس زائد واحد هذا + +594 +01:02:46,280 --> 01:02:52,360 +ماعناش مشكلة فيه وصلنا لناقص خمس + +595 +01:02:53,960 --> 01:02:59,960 +هذا لو جيته اعمل مثله مربع اس ناقص واحد لكل تربية + +596 +01:02:59,960 --> 01:03:07,400 +اذا بدي اخلي هنا اس ناقص واحد بيظل كده؟ ناقص سبعة + +597 +01:03:07,400 --> 01:03:15,200 +يعني هذا بيظل ناقص خمس في اس ناقص واحد ناقص سبعة + +598 +01:03:15,200 --> 01:03:21,420 +على اس ناقص واحد لكل تربية زائد واحد + +599 +01:03:24,490 --> 01:03:31,510 +تمام؟ طيب نيجي أرتب باقى المثلة، يفجأة بدنا نيجي + +600 +01:03:31,510 --> 01:03:36,790 +أرتب مسألتنا من جديد و نشوف لوين بدنا نوصل + +601 +01:03:48,240 --> 01:03:53,480 +طلعوني كويس يبقى أصبح عندي capital Y of S بده + +602 +01:03:53,480 --> 01:04:01,960 +يساوي خمس في مين في واحد على S زائد واحد اللي + +603 +01:04:01,960 --> 01:04:08,640 +بعدها ناقص خمس فيه بدي أخد هذا لحاله يا بنات على + +604 +01:04:08,640 --> 01:04:14,540 +المقام والسبع لحالها على المقاميبقى باجي بقوله هنا + +605 +01:04:14,540 --> 01:04:23,500 +ناقص خمس في S ناقص واحد على S ناقص واحد لكل تربيع + +606 +01:04:23,500 --> 01:04:30,740 +زائد واحد يبقى أخدت ال term الأول على المقامناقص + +607 +01:04:30,740 --> 01:04:39,200 +خمس مع ناقص سبعة بزايد اللي هو سبعة خمس يبقى زائد + +608 +01:04:39,200 --> 01:04:47,300 +سبعة على خمسة بضل عند مين؟ بضل عشان دي ال واحد على + +609 +01:04:47,300 --> 01:04:56,480 +اس ناقص واحد لكل تربيع زائد واحد تمام؟ + +610 +01:04:57,530 --> 01:05:03,430 +الهم نقدر نقول يا خلصنايا شبه خلصنايا المثلة طلع + +611 +01:05:03,430 --> 01:05:07,650 +مرة تانية يبقى السارة عندي بدل ما هو term هنا + +612 +01:05:07,650 --> 01:05:12,950 +خلتها تلات term خمس في المقدار اللي عندنا هذا ناقص + +613 +01:05:12,950 --> 01:05:15,550 +خمس في S ناقص واحد على S ناقص واحد في كل تربية + +614 +01:05:15,550 --> 01:05:19,090 +زائد واحد زائد سبعة أخمس واحد على S ناقص واحد في + +615 +01:05:19,090 --> 01:05:25,530 +كل تربية زائد واحدبنفتح الجدول و نبحث عن الاسم + +616 +01:05:25,530 --> 01:05:27,950 +اللي يسمى الاسم اللي يسمى الاسم اللي يسمى الاسم + +617 +01:05:27,950 --> 01:05:28,170 +اللي يسمى الاسم اللي يسمى الاسم اللي يسمى الاسم + +618 +01:05:28,170 --> 01:05:29,610 +اللي يسمى الاسم اللي يسمى الاسم اللي يسمى الاسم + +619 +01:05:29,610 --> 01:05:35,870 +اللي يسمى الاسم اللي يسمى الاسم اللي + +620 +01:05:35,870 --> 01:05:38,830 +يسمى الاسم اللي يسمى الاسم اللي يسمى الاسم اللي + +621 +01:05:38,830 --> 01:05:38,930 +يسمى الاسم اللي يسمى الاسم اللي يسمى الاسم اللي + +622 +01:05:38,930 --> 01:05:38,990 +يسمى الاسم اللي يسمى الاسم اللي يسمى الاسم اللي + +623 +01:05:38,990 --> 01:05:43,910 +يسمى الاسم اللي يسمى الاسم اللي يسمى الاسم + +624 +01:05:53,570 --> 01:06:02,440 +اندور في الجدول على المقدار بين القاوسينعشرة طيب + +625 +01:06:02,440 --> 01:06:07,260 +عشرة ل S ناقص ال A S ناقص ال A لكل تربية زائد B + +626 +01:06:07,260 --> 01:06:13,800 +تربية طبعا ال A يساوي ال B يساوي قدر؟ واحد طيب + +627 +01:06:13,800 --> 01:06:21,120 +جبنا ان عليه بيكون الجواب هو E أس T Cos T مظبوط + +628 +01:06:21,520 --> 01:06:30,220 +يبقى هنا E Ost Cos T هذا النقطة رقم عشرة من الجدول + +629 +01:06:30,220 --> 01:06:35,620 +اللي بين ايداكوا نجي للنقطة الأخيرة اللي هو الزائد + +630 +01:06:35,620 --> 01:06:41,850 +سبعة أخماس فيهطلع لفوق شوية الخطوة اللى قبلها او + +631 +01:06:41,850 --> 01:06:46,690 +النقطة اللى قبلها اللى يمين رقم تسعة يبقى رقم تسعة + +632 +01:06:46,690 --> 01:06:51,430 +هي بي على اس نقص الكل تربية زائد بيه تربية يبقى + +633 +01:06:51,430 --> 01:06:58,210 +ايه تساوي بيه كذلك تساوي كدهش واحد يبقى E of T Sin + +634 +01:06:58,210 --> 01:07:07,360 +T يبقى هنا في ال E of T في Sin Tيبقى هذا الـ + +635 +01:07:07,360 --> 01:07:12,860 +solution للـ differential equation المواطع حد فيكم + +636 +01:07:12,860 --> 01:07:19,560 +بتحب تسأل أي سؤال هنا؟ ننتقل + +637 +01:07:19,560 --> 01:07:27,740 +إلى المثال اللي بعده بس بنجيبه بطريقة غير هذه يبقى + +638 +01:07:27,740 --> 01:07:36,070 +example هذا سؤال 25 من أسئلة الكتاببقول find the + +639 +01:07:36,070 --> 01:07:43,550 +Laplace transform find the Laplace transform + +640 +01:07:43,550 --> 01:07:47,290 +Laplace + +641 +01:07:47,290 --> 01:07:55,870 +transform capital Y of S للابلاس لل Y of the + +642 +01:07:55,870 --> 01:08:02,410 +solution of + +643 +01:08:02,410 --> 01:08:04,150 +the initial value problem + +644 +01:08:10,700 --> 01:08:19,800 +Y double A prime زائد Y تساوي أحد أمرين ياما T لما + +645 +01:08:19,800 --> 01:08:26,900 +T محصورة بين الـ Zero و بين الواحد ياما Zero لما T + +646 +01:08:26,900 --> 01:08:33,660 +أكبر من أو تساوي الواحد و less than infinityو ال y + +647 +01:08:33,660 --> 01:08:40,120 +عند ال zero بده تساوي zero و كذلك ال y prime عند + +648 +01:08:40,120 --> 01:08:43,700 +ال zero بده يساوي جدار بده يساوي zero + +649 +01:08:59,030 --> 01:09:05,210 +هذا المثال يختلف عن سابقاته من الأمثلة في إن له + +650 +01:09:05,210 --> 01:09:11,070 +شكل معين يعني piecewise function تمام؟ المثلة أو + +651 +01:09:11,070 --> 01:09:15,830 +الـG of T اللي علي مين مجزئ إلى جزئين وليس جزئا + +652 +01:09:15,830 --> 01:09:21,610 +واحدا كما كان قبل قليل من كل بسيطة جزئين ولا تلاتة + +653 +01:09:21,610 --> 01:09:25,570 +ولا أربعة مادام ال function معرفة يبقى أنا مقيد + +654 +01:09:25,570 --> 01:09:29,520 +بهذا التعريفلأ بلاس ترانسفورم له تعريف يبقى أنا + +655 +01:09:29,520 --> 01:09:34,140 +مقيد كذلك لمين بهذا التعريف اذا انا اخد لأ بلاس + +656 +01:09:34,140 --> 01:09:39,660 +ترانسفورم لمن؟ للطرفين بقوله كويس يبقى انا بدي اخد + +657 +01:09:39,660 --> 01:09:46,440 +لأ بلاس ترانسفورم ل Y''زائد لـ plus transform للـ + +658 +01:09:46,440 --> 01:09:53,260 +y بده يساوي ل plus transform لمن؟ للطرف اليمين لكن + +659 +01:09:53,260 --> 01:09:58,900 +الطرف اليمين هذا مجزق إلى جزين من zero لواحد و من + +660 +01:09:58,900 --> 01:10:04,000 +واحد لغاية infinityالـ plus transform للدالة مش + +661 +01:10:04,000 --> 01:10:08,200 +بيبدأ من عندي ال zero لغاية infinity إذا إحنا + +662 +01:10:08,200 --> 01:10:13,560 +جزقنا لوين؟ إلى جزئين إذا بروح أحط التعريف + +663 +01:10:13,560 --> 01:10:20,660 +integration من zero لواحد لل E أُس ناقص ST في + +664 +01:10:20,660 --> 01:10:29,600 +الدالة، جداش الدالة؟يبقى ده تي دي تي زي التكامل من + +665 +01:10:29,600 --> 01:10:36,000 +واحد لغاية infinity يبقى من واحد لغاية infinity + +666 +01:10:36,000 --> 01:10:41,920 +إلا ال E أقص ناقص ST وقيمة الدالة هنا جداش Zero + +667 +01:10:41,920 --> 01:10:47,480 +يبقى في Zero في دي تي إذا ال term هذا كله بروح + +668 +01:10:47,480 --> 01:10:53,320 +بجداش Zero مع السلامة غير مأسوف عليهيبقى بدنا نيجي + +669 +01:10:53,320 --> 01:10:58,060 +نطبق النظرية على الطرف الشمال اللي عندنا يبقى هادي + +670 +01:10:58,060 --> 01:11:06,200 +S Square في capital Y of S ناقص S في Y عند ال zero + +671 +01:11:06,200 --> 01:11:11,960 +ناقص Y prime عند ال zero طبقنا النظرية على ال term + +672 +01:11:11,960 --> 01:11:16,760 +الأول نطبق النظرية على ال term التاني يبقى زائد + +673 +01:11:16,760 --> 01:11:23,220 +capital Y of S مرة واحدةهذا ما هوش improper + +674 +01:11:23,220 --> 01:11:26,520 +integral يعني improper integral واحد zero هناك + +675 +01:11:26,520 --> 01:11:29,920 +يبقى ده اللي عند مين ده اللي الترميك بديه كامل + +676 +01:11:29,920 --> 01:11:35,230 +integration by parts عادي جدالكن هذا بكمله بالجدول + +677 +01:11:35,230 --> 01:11:39,970 +أسهلي يبقى باجي بقوله في الهام الشيك باخد جزء + +678 +01:11:39,970 --> 01:11:47,010 +derivatives و جزء باخده من integrals تمام؟ ال + +679 +01:11:47,010 --> 01:11:56,120 +derivative T والintegral E أس ناقص STمشتقتها بواحد + +680 +01:11:56,120 --> 01:12:02,100 +التكامل تبعها ب E أس ناقص T على مين على ناقص S + +681 +01:12:02,100 --> 01:12:08,080 +بنقسم على تفاضل الـ S إذا الـ S من الدرجة الأولى + +682 +01:12:08,080 --> 01:12:15,040 +نشتق كمان مرة يبقى Zero نكمل كمان مرة يبقى E أس + +683 +01:12:15,040 --> 01:12:22,340 +ناقص ST على ناقص S في ناقص S يبقى بزايد S ترابيع + +684 +01:12:22,960 --> 01:12:28,660 +هدى فى هدى بالموجب وهدى فى هدى بالسالب يبقى صارت + +685 +01:12:28,660 --> 01:12:33,800 +المثلة تبعتنا على الشكل التالي تطلعى لبناء يبقى + +686 +01:12:33,800 --> 01:12:44,000 +هنا بصير ناقص E أس ناقص ST على S كمان ناقص E أس + +687 +01:12:44,000 --> 01:12:51,250 +ناقص ST على مين على S تربيةوالحكي هذا كله من عند + +688 +01:12:51,250 --> 01:12:56,370 +الـ zero لغاية كدهش لغاية الواحد طيب هذه و هذه + +689 +01:12:56,370 --> 01:13:04,930 +بقدر أخدها عام المشترك في شيء هنا ولا طرف .. هذا + +690 +01:13:04,930 --> 01:13:14,250 +هذا طيب باجي بقول اه هنا في T هنا T مظبوط و الباجي + +691 +01:13:14,250 --> 01:13:20,180 +كله سليم مئة بالمئة صحيحطيب بنعوض الآن بنجمع هدول + +692 +01:13:20,180 --> 01:13:25,960 +اتنين مع بعض يبقى بصير عندي S تربيع زائد واحد كله + +693 +01:13:25,960 --> 01:13:32,040 +في capital Y of S الان Y عند Zero جلب Zero و Y + +694 +01:13:32,040 --> 01:13:37,970 +Prime عند Zero يبقى هذا بقيريبقى هنا كله ناقص Zero + +695 +01:13:37,970 --> 01:13:43,990 +يساوي بتعوض بحدود التكامل القيمة اللى فوق ناقص + +696 +01:13:43,990 --> 01:13:48,590 +القيمة اللى تحت يبقى المعوضة عن T بواحد بصير عندنا + +697 +01:13:48,590 --> 01:13:59,130 +ناقص E أس ناقص S على S عوضت بواحد هنا ناقص E أس + +698 +01:13:59,130 --> 01:14:07,470 +ناقص S على S تربيعنقص القيم اللي تحت نقص مع نقص + +699 +01:14:07,470 --> 01:14:16,790 +بصير الزائد Zero في رقم يبقى ب Zero وهذه زاد هنا + +700 +01:14:16,790 --> 01:14:24,010 +حطيت E وال Zero اللي هو واحد على S يبقى زائد واحد + +701 +01:14:24,010 --> 01:14:33,780 +على S واحد على S تربيع تمامطب كويس يبقى بناء عليه + +702 +01:14:33,780 --> 01:14:40,020 +إيه الخاطر أجسم كله الآن على مين؟ على S تربية زائد + +703 +01:14:40,020 --> 01:14:45,540 +واحد بيكون جيبنا لأ plus transform يبقى capital Y + +704 +01:14:45,540 --> 01:14:52,580 +of S بده يساوي اللي هو مين؟ E والله خد أاخد الموجة + +705 +01:14:52,580 --> 01:14:56,530 +في الأول أسهل و أخلي السلم في اللي بعدهيبقى هذه + +706 +01:14:56,530 --> 01:15:04,310 +واحد على S تربية في S تربية زائد واحد خلصنا منها + +707 +01:15:04,310 --> 01:15:13,050 +اللي بعدها ناقص EOS ناقص S على مين على S في S + +708 +01:15:13,050 --> 01:15:23,790 +تربيةزائد واحد ناقص IOS ناقص S عالمين على S تربيع + +709 +01:15:23,790 --> 01:15:30,950 +في S تربيع زائد واحد الشكل اللي عنها خلاص روحي + +710 +01:15:30,950 --> 01:15:33,670 +وخليها قال لي هو بس هاتي ليا place ال transform + +711 +01:15:33,670 --> 01:15:37,940 +للحل ماقلليش هات شكل الحلواللي ما بده يجيش بشكل + +712 +01:15:37,940 --> 01:15:42,300 +الحل بيصير معقد لسه partial fraction ويطلع جزئين + +713 +01:15:42,300 --> 01:15:46,780 +وكمان جزئين وكمان جزئين كيف جزئين هدول تلاتة مش + +714 +01:15:46,780 --> 01:15:52,240 +جزئين كمان ويمكن يطلعوا أربعة كمان حسب الكثرة الله + +715 +01:15:52,240 --> 01:15:57,990 +أعلم إذا لحد هنا جبناله Laplace transformلو بدك + +716 +01:15:57,990 --> 01:16:03,670 +تجمعهم كلهم مع بعض وتوحدي المقامات وتوحدي براتك + +717 +01:16:03,670 --> 01:16:10,690 +والنتيجة على الشكل التالي اللي هو E أُس S ناقص S + +718 +01:16:10,690 --> 01:16:19,370 +ناقص واحد على S تربيع في مين؟ في S تربيع زائد واحد + +719 +01:16:19,370 --> 01:16:23,710 +كله في ال E أُس S بتعمل ايه؟ هو اللي ماتعملاش + +720 +01:16:23,710 --> 01:16:29,470 +ماتفرجش عندنااخر مثال في هذا ال section يبقى + +721 +01:16:29,470 --> 01:16:35,170 +example يقول + +722 +01:16:35,170 --> 01:16:37,150 +solve the initial value problem + +723 +01:16:44,020 --> 01:16:52,100 +واي دابلي برايم ناقص ستة واي برايم زائد تسعة واي + +724 +01:16:52,100 --> 01:17:01,340 +بده يساوي ت تربيع E أس اتنين T والواي عند ال zero + +725 +01:17:01,340 --> 01:17:07,320 +بده يساوي اتنين والواي برايم عند ال zero بده يساوي + +726 +01:17:07,320 --> 01:17:08,260 +ستة + +727 +01:17:20,540 --> 01:17:26,460 +بناخد لبلاس ترانسفورم للطرفين يبقى بدي اخد لبلاس + +728 +01:17:26,460 --> 01:17:34,560 +ترانسفورم لل Y'' نقص ستة لبلاس ترانسفورم لل Y'' + +729 +01:17:34,560 --> 01:17:41,740 +زائد تسعة لبلاس ترانسفورم لل Y بدي أساوي لبلاس + +730 +01:17:41,740 --> 01:17:47,640 +ترانسفورم لT تربيع في E أس اتنين T + +731 +01:17:50,680 --> 01:17:57,200 +طرف الشمال هنطبق عليه النظرية يبقى S2 في capital Y + +732 +01:17:57,200 --> 01:18:05,520 +of S ناقص S في Y عند Zero ناقص Y prime عند Zero + +733 +01:18:06,470 --> 01:18:13,930 +اللي بعده ناقص ستة وتفتح يقوس يبقى S في capital Y + +734 +01:18:13,930 --> 01:18:21,710 +of S ناقص Y عند ال zero خلصنا منه اللي بعده زائد + +735 +01:18:21,710 --> 01:18:29,450 +تسعة capital Y of S بده يساوي حد بعرفاش إلا أروح + +736 +01:18:29,450 --> 01:18:39,790 +أدور وين في الجدولT تربيع في A أُس اتنان + +737 +01:18:39,790 --> 01:18:45,560 +T اللي هي من ابنات 11 ممتاز جدايبقى لو جيت في + +738 +01:18:45,560 --> 01:18:52,760 +العمود الأول اللي هو رقم 11 T to the power N E أس + +739 +01:18:52,760 --> 01:18:57,220 +A T و ال N positive احنا عندنا هايه اتنين و + +740 +01:18:57,220 --> 01:19:01,300 +الاتنين positive و ال A عندي كمان يبقى داشت بيه + +741 +01:19:01,300 --> 01:19:05,880 +الاتنين يبقى بدي اكتب النتيجة عند اليمين اتنين + +742 +01:19:05,880 --> 01:19:13,820 +factorial على S ناقص اتنين لكل كداشتيبقى هذه اللي + +743 +01:19:13,820 --> 01:19:20,820 +هي عبارة عن in factorial يعني اتنين factorial على + +744 +01:19:20,820 --> 01:19:27,460 +اللي هو ال S ناقص اتنين لكل تكييب الشكل اللي عندنا + +745 +01:19:27,460 --> 01:19:35,300 +يبقى هذه جيبتها من الجدول part 11بالدرجة هطبق اللي + +746 +01:19:35,300 --> 01:19:38,180 +هو المعلومات اللي عندي في ال initial conditions + +747 +01:19:38,180 --> 01:19:42,840 +على المعادلة اللي عناها يبقى هذي بيصير S square + +748 +01:19:42,840 --> 01:19:52,620 +capital Y of S Y عند 0 ب 2 يبقى ناقص 2S Y prime + +749 +01:19:52,620 --> 01:19:55,460 +عند 0 يبقى ناقص 6 + +750 +01:20:02,050 --> 01:20:10,510 +ناقص في ناقص بزايد ستة في واي عند ال zero اللي هو + +751 +01:20:10,510 --> 01:20:19,210 +باتنينتمام Y عند Zero اللي هو ب 2 زائد 9 capital Y + +752 +01:20:19,210 --> 01:20:29,850 +of S بده تساوي 2 factorial على S ناقص 2 اللي هو + +753 +01:20:29,850 --> 01:20:31,570 +الكل تكييب + +754 +01:20:34,130 --> 01:20:42,850 +بنجمع العامل المشتركة يبقى S²-6Sزاد + +755 +01:20:42,850 --> 01:20:52,600 +9 كله في capital Y of Sبتضل عندك هنا جداش ناقص + +756 +01:20:52,600 --> 01:21:00,280 +اتنين S ناقص ستة وزائد اتناش بضل زائد ستة يبقى + +757 +01:21:00,280 --> 01:21:05,020 +زائد ستة يسوى الطرف اليمين اللي هو اتنين factorial + +758 +01:21:05,020 --> 01:21:13,220 +على S ناقص اتنين لكل تكيدطيب تمام تمام هذه بيصير + +759 +01:21:13,220 --> 01:21:20,620 +ايش بيصير capital Y of S مضروبة في امين هذه بنات + +760 +01:21:20,620 --> 01:21:29,000 +اللي هو S ناقص تلاتة من كل تربيع يبقى في S ناقص + +761 +01:21:29,000 --> 01:21:35,050 +تلاتة من كل تربيعS ناقص ثلاثة الكل تاريبي هذه S + +762 +01:21:35,050 --> 01:21:42,750 +ناقص اتنين S ناقص اتنين مظبوط ماعنديش تلاتة نتأكد + +763 +01:21:42,750 --> 01:21:49,310 +منها لا يا بني انا اتصلي E أس تلاتة T وليست اتنين + +764 +01:21:49,310 --> 01:21:58,480 +بدي اقول هذه E أس تلاتة Tيبقى لما نجينا حسبناها + +765 +01:21:58,480 --> 01:22:07,440 +هنا بصير S ناقص تلاتة وهذه S ناقص تلاتة وهذه S + +766 +01:22:07,440 --> 01:22:14,900 +ناقص تلاتة والباقي كل شي زي ما هو يبقى بس اللي بين + +767 +01:22:14,900 --> 01:22:18,380 +قصين بصلى الله عبارة عن S ناقص اتنين وS ناقص تلاتة + +768 +01:22:18,940 --> 01:22:23,140 +يبقى هذا بده يساوي اللي هو من النجو الهادي على + +769 +01:22:23,140 --> 01:22:29,120 +الشجرة التانية و لو أخدنا ناقص اتنين عامل مشترك + +770 +01:22:29,420 --> 01:22:34,240 +بصير اس ناقص ثلاثة هذه لو نجلناها على الشجة + +771 +01:22:34,240 --> 01:22:40,180 +التانية و اه بيصير بدون ناقص اتنين فقط فاهمين اللي + +772 +01:22:40,180 --> 01:22:44,900 +هي اتنين اس ناقص ست اللي هو عكس هذه تماما و بظل + +773 +01:22:44,900 --> 01:22:50,620 +زائد ال term اللي عندنا هذا زائد اللي هو اتنين + +774 +01:22:50,620 --> 01:23:01,020 +factorial على مين على اس ناقص اتنينالكل تاكهيت كي + +775 +01:23:01,020 --> 01:23:05,260 +اثنين ناقص تلاتة صحيح اس ناقص تلاتة هو اس ناقص + +776 +01:23:05,260 --> 01:23:11,890 +تلاتةالروح نجسم الطرفين على main على S ناقص تلاتة + +777 +01:23:11,890 --> 01:23:19,010 +لكل تربية يبقى بيصير capital Y of S يساوي اتنين + +778 +01:23:19,010 --> 01:23:25,890 +على S ناقص تلاتة زائدي اتنين factorial على main + +779 +01:23:25,890 --> 01:23:30,390 +على S ناقص تلاتة to the power five + +780 +01:23:33,660 --> 01:23:41,080 +خلاص بدنا نجيبلها ل plus transfer بيكون خلصنا لكن + +781 +01:23:41,080 --> 01:23:45,420 +اطلعيلي لهذه السهل نجيبلها ل plus transfer طيب + +782 +01:23:45,420 --> 01:23:49,560 +تعالى نطلع لهذه السهل والله ما هوش سهل اذا انا + +783 +01:23:49,560 --> 01:23:54,240 +بتطلع في العمود الأخير طلعيلي في العمود الأخر + +784 +01:23:54,240 --> 01:23:58,280 +وشوفوا لمين أنسب حاجة لهذه الشغل + +785 +01:24:05,850 --> 01:24:14,570 +11 صحيح بس في فارق ان الرقم اللى عندي فوق الاصل + +786 +01:24:14,570 --> 01:24:19,950 +يكون كدهأربعة factorial تمام يبقى الأصل يكون عندي + +787 +01:24:19,950 --> 01:24:24,450 +أربعة factorial بقوله بسيطة يبقى هذه سهلة جدا إذا + +788 +01:24:24,450 --> 01:24:27,610 +أنا ب fabric المثل بحيث صير عندي بدل اتنين + +789 +01:24:27,610 --> 01:24:33,090 +factorial أربعة فاكتوريال اتنين صح ولا لأ يعني هذه + +790 +01:24:33,090 --> 01:24:40,250 +بقدر أقول تساوي اتنين في واحد على اس ناقص ثلاثة + +791 +01:24:40,520 --> 01:24:45,400 +زائد اتنين اللي هو اتنين factorial اتنين بدي اقرب + +792 +01:24:45,400 --> 01:24:50,880 +في اربعة factorial و اقسم على اربعة factorial + +793 +01:24:50,880 --> 01:24:55,520 +كأنني ضرب في قداش واحد صحي مستيقظش اللي ضربت فيه + +794 +01:24:55,520 --> 01:25:02,560 +روحت ايه قسمت عليه والمقام هذا له ال S ناقص ثلاثة + +795 +01:25:02,560 --> 01:25:08,140 +to the power خمسة بالشكل اللي عندنا هناطب الاربعة + +796 +01:25:08,140 --> 01:25:13,160 +factorial اللي اربعة في تلاتة و اتناش في اتنين و + +797 +01:25:13,160 --> 01:25:17,120 +اربعة و عشرين و عندي فوق يعني واحدة اتناش تمام + +798 +01:25:17,120 --> 01:25:27,640 +تمام تمام اذا صار the solution is y as a function + +799 +01:25:27,640 --> 01:25:34,950 +of t يساوي اتنين اظن هذه E واست تلاتة Tرقم اتنين + +800 +01:25:34,950 --> 01:25:43,230 +من الجدول زائد واحد على اتناش هذه كمان مش بصير من + +801 +01:25:43,230 --> 01:25:52,290 +رقم احداش برضه يبقى T أس كداش أس أربعة يبقى T أس + +802 +01:25:52,290 --> 01:25:59,870 +أربعة في E أس تلاتة T E أس تلاتة T لإن ال A عندي + +803 +01:25:59,870 --> 01:26:02,090 +بقداش اتلاتة + +804 +01:26:03,980 --> 01:26:08,440 +خلاص نا يبجى هذا هو الحل التابع له يعني يا بنات + +805 +01:26:08,440 --> 01:26:13,430 +لما يطلع الشغل زي هيكيمكن ما تقدرش تجيبيها من + +806 +01:26:13,430 --> 01:26:17,350 +الجدران بدها فبراكه بسيطه ضربنا فرقه مجسمنا عليه + +807 +01:26:17,350 --> 01:26:21,890 +إذا صارت أندي موجودة في الجدران قبل قليل كان عندي + +808 +01:26:21,890 --> 01:26:27,150 +S تربيه ناقص اتنين S زائد اتنين فحولت إلى S ناقص + +809 +01:26:27,150 --> 01:26:31,630 +اتنين S تربيه ناقص اتنين S زائد واحد زائد واحد + +810 +01:26:31,630 --> 01:26:34,790 +يبقى صارت S ناقص واحد لكل تربيه زائد واحد يعني + +811 +01:26:34,790 --> 01:26:38,550 +أحيان الفبراكات الرياضية هذه هي اللي بتوديك لوين + +812 +01:26:38,710 --> 01:26:43,690 +لصيغة تابعة الجدول وبالتالي بتقدر تجيب ال function + +813 +01:26:43,690 --> 01:26:49,070 +المناضرة لـ Laplace transform بدنا المسائل تابعة + +814 +01:26:49,070 --> 01:27:01,310 +exercises 6-2 exercises 6-2 المسائل من 1 لغاية 26 + +815 +01:27:06,070 --> 01:27:11,350 +حاول تحلي بقدر المكان تتدربي عليهم لإن المسائل + +816 +01:27:11,350 --> 01:27:18,710 +هدول ضروريات جدا لإنه لا يكاد يخلو امتحان نهائي + +817 +01:27:18,710 --> 01:27:25,570 +وأظنه لن يخلو من استخدام Laplace transform للحصول + +818 +01:27:25,570 --> 01:27:29,750 +على حل المعادلة التفاضلية اعطيكوا العافية + diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/VYRFN1d1OwA_raw.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/VYRFN1d1OwA_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..e1b99edd14e9bcf40feb1f440aedb8a2a578053e --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/VYRFN1d1OwA_raw.srt @@ -0,0 +1,3052 @@ +1 +00:00:09,580 --> 00:00:15,870 +بسم الله الرحمن الرحيمبنذكر بالاخر نظرية قولناها + +2 +00:00:15,870 --> 00:00:20,070 +المرة اللي فاتة لإنه بنبدأ دراستنا عليها اليوم على + +3 +00:00:20,070 --> 00:00:26,090 +النظرية الماضية ان شاء الله تبارك وتعالى طبعا + +4 +00:00:26,090 --> 00:00:29,450 +موضوعنا موضوع اللي هو ال non homogeneous + +5 +00:00:29,450 --> 00:00:33,030 +differential equation بنحلها بطريقةالـ + +6 +00:00:33,030 --> 00:00:38,230 +undetermined coefficients يعني المعاملات المجهولة + +7 +00:00:38,230 --> 00:00:43,270 +تمام؟ آخر نظرية قلناها المرة اللي فاتت أنه لو عندي + +8 +00:00:43,270 --> 00:00:49,910 +non-homogeneous differential equation مثل هذه مثلا + +9 +00:00:49,910 --> 00:00:53,510 +كويس second order non-homogeneous differential + +10 +00:00:53,510 --> 00:00:58,420 +equationيبقى الحل بتبعها بيكون على الشكل القاتى + +11 +00:00:58,420 --> 00:01:02,960 +باخد ال homogeneous بجيب الحلين تبعات ال + +12 +00:01:02,960 --> 00:01:07,800 +homogeneous يبقى Y1 و Y2 يبقى حل ال homogeneous هي + +13 +00:01:07,800 --> 00:01:14,420 +C1Y1 زي C2Y2 و بروح باخد ال particular solution + +14 +00:01:14,420 --> 00:01:18,040 +الحل الخاص لل non homogeneous differential + +15 +00:01:18,040 --> 00:01:22,760 +equation بجمع اتنين مع بعض بيكون هذا هو الحل تبع + +16 +00:01:22,760 --> 00:01:26,100 +مينتابع الـ Non-homogeneous differential equation + +17 +00:01:26,350 --> 00:01:30,650 +هذا ما اثبتناه المرة الماضية في نظرية رقم 2 من + +18 +00:01:30,650 --> 00:01:36,370 +المرة الماضية يعني كلامنا الان هو تطبيق على نظرية + +19 +00:01:36,370 --> 00:01:41,970 +رقم 2 ابنجي لقصة 8 طريقة ال undetermined + +20 +00:01:41,970 --> 00:01:45,410 +coefficients يعني كيف بدها تكون الطريقة هذه بنقول + +21 +00:01:45,410 --> 00:01:51,230 +ما ياتي ابنستخدم هذه الطريقة إذا تحقق في المعادلة + +22 +00:01:51,230 --> 00:01:58,240 +التفاضلية شرطانالشرط الأول أن المعاملات كانت ثوابت + +23 +00:01:58,240 --> 00:02:04,320 +ال A والB والC ثوابت وليس الدوال في T الشرط التاني + +24 +00:02:04,320 --> 00:02:10,200 +لازم G of T تبقى على شكل معين مش حيال الله أي دالة + +25 +00:02:11,000 --> 00:02:16,560 +يبقى g of t and the function g of t has a special + +26 +00:02:16,560 --> 00:02:21,460 +form شكل خاص كما هو بين في الجدول والان بنوضح + +27 +00:02:21,460 --> 00:02:25,680 +الجدول يبقى طريقة ال undetermined coefficients + +28 +00:02:25,680 --> 00:02:26,980 +بستخدمها في + +29 +00:02:29,940 --> 00:02:35,000 +في الحالة التالية يعني إذا تحقق شرطان الشرط الأول + +30 +00:02:35,000 --> 00:02:40,960 +ان المعاملات تبع Y'' وY'' وY ثوابت يعني ال A والB + +31 +00:02:40,960 --> 00:02:45,840 +والC ثوابت الشرط الثاني ان G of T بدأ تبقى على شكل + +32 +00:02:45,840 --> 00:02:51,840 +معين سؤالنا هوما هو الشكل تبع g of t اللى بتطبق + +33 +00:02:51,840 --> 00:02:55,280 +عليه طريقة ال undetermined coefficients اللى جاب + +34 +00:02:55,280 --> 00:02:58,840 +على هذا السؤال هو الجدول اللى بين إيديكوا هذا + +35 +00:02:58,840 --> 00:03:04,360 +الجدول يتلخص في ميتيه لو كان g of t على أي شكل من + +36 +00:03:04,360 --> 00:03:08,930 +الأشكالالتلاتة او الاربعة او الخمسة اللي هنا انتوا + +37 +00:03:08,930 --> 00:03:12,550 +شايفين هم تلاتة لكن هم اكتر يبقى بدي يكون شكل ال + +38 +00:03:12,550 --> 00:03:16,550 +particular solution capital Y of T بدي يكون على + +39 +00:03:16,550 --> 00:03:18,490 +الشكل اللي عندنا هذا + +40 +00:03:20,930 --> 00:03:26,430 +نبلغ واحد، لو كانت G of T كثيرة حدود فقط، من درجة + +41 +00:03:26,430 --> 00:03:30,010 +الأولى، من التانية، التالتة، الرابعة، جد ما يكون، + +42 +00:03:30,010 --> 00:03:34,930 +يبقى بد يكون شكل الـparticular solution T to the + +43 +00:03:34,930 --> 00:03:41,590 +power S في كثيرة حدود مشابهة لمين لكثيرة الحدود، + +44 +00:03:41,590 --> 00:03:45,470 +لأن لك المعاملات مختلفةالبنونوميال من الدرجة + +45 +00:03:45,470 --> 00:03:48,970 +النونية بجهدي من درجة نونية لكي المعاملات ما هيش + +46 +00:03:48,970 --> 00:03:54,030 +هي لكن كلها مضروبة في من؟ في T to the power of S + +47 +00:03:54,030 --> 00:04:00,950 +ياش ال S هذه؟ هجاوبكوا عليها بعد قليل تمام؟ ال .. + +48 +00:04:00,950 --> 00:04:06,150 +نمر اتنين لو كان بنونوميال في exponential يعني + +49 +00:04:06,150 --> 00:04:10,890 +بنونوميال من الدرجة النونية في E أس Alpha T يا + +50 +00:04:10,890 --> 00:04:17,090 +بنات مش Alpha N Alpha Tطبعا يبقى بدى يكون شكل ال + +51 +00:04:17,090 --> 00:04:20,830 +particular solution T to the power S في polynomial + +52 +00:04:20,830 --> 00:04:26,590 +من الدرجة النونية في E أس Alpha T يعني هنا ال + +53 +00:04:26,590 --> 00:04:29,050 +polynomial من الدرجة النونية بدى تكون هنا ال + +54 +00:04:29,050 --> 00:04:31,530 +polynomial من الدرجة النونية لكن المعاملات مالها + +55 +00:04:31,530 --> 00:04:37,470 +مختلفة فمين؟ في ال X exponential E أس Alpha T لأن + +56 +00:04:37,470 --> 00:04:43,020 +هذا بالضبط تماما يبقى ايه كام حالة؟ حالتينيبقى + +57 +00:04:43,020 --> 00:04:46,320 +بدنا نيجي للحالة التالتة الحالة التالتة لو كانت + +58 +00:04:46,320 --> 00:04:52,560 +حاصل ضرب polynomial في exponential في cosine فقط + +59 +00:04:52,560 --> 00:04:59,400 +او polynomial في exponential في sin فقط او + +60 +00:04:59,400 --> 00:05:03,760 +polynomial في exponential في مجموعة ال sin و ال + +61 +00:05:03,760 --> 00:05:08,660 +cosine او الفرق في ما بينهم اتجمع و طرح ضرب و قسم + +62 +00:05:08,660 --> 00:05:15,220 +يبعتلك اللهيصحوا يا لكل واحدة لحالهم يا مجموعهم او + +63 +00:05:15,220 --> 00:05:19,640 +طرحهم اتنين الزاوية هذه نفس الزاوية هذه مش كل + +64 +00:05:19,640 --> 00:05:23,240 +واحدة زاوية شكل اذا كانت كل واحدة زاوية شكل الا + +65 +00:05:23,240 --> 00:05:28,120 +كلام تاني تمام يبقى هذه كام حالة رقم تلاتة تلت + +66 +00:05:28,120 --> 00:05:32,100 +حالة يبقى ده الخمسة صاروا مش تلاتة تمام زي ما + +67 +00:05:32,100 --> 00:05:36,640 +قلناكم قبل قليل شو بدى يكون شكل الحل افترض ماعنديش + +68 +00:05:36,640 --> 00:05:41,890 +الا هذا اللي فوقبالنوميال في exponential في cosine + +69 +00:05:41,890 --> 00:05:47,510 +بديك تكتب شكل ال Y of T على الشكل التالي T to the + +70 +00:05:47,510 --> 00:05:51,690 +power S بلنوميال من الدرجة النونية زي ما هي + +71 +00:05:51,690 --> 00:05:56,450 +بلنوميال من الدرجة النونية في cosine زائد بلنوميال + +72 +00:05:56,450 --> 00:06:00,150 +أخرى من الدرجة النونية في sine في ال exponential + +73 +00:06:00,150 --> 00:06:05,670 +يعني لو كانت cosine لحالها بديك تكتب cosine و sine + +74 +00:06:06,220 --> 00:06:11,360 +ولو كانت sign لحالها بدي اكتب بي كمان cosine و sin + +75 +00:06:11,360 --> 00:06:15,400 +و لو كان مجموهم او الفرق في بينهم بدي اكتب كمان + +76 +00:06:15,400 --> 00:06:18,420 +cosine و sin و كل واحدة مضروبة في polynomial في + +77 +00:06:18,420 --> 00:06:23,180 +100 في ال exponential دي ربالك من الكلام هذا طب + +78 +00:06:23,180 --> 00:06:28,160 +افترض ماكانش عندي مثلا polynomial عندي exponential + +79 +00:06:28,160 --> 00:06:35,330 +في cosineبرضه بدي اكتب constant + +80 +00:06:35,330 --> 00:06:39,730 +في cosine زائد constant في sine في ال exponential + +81 +00:06:39,730 --> 00:06:44,930 +و هكذا فبفرض ال exponential ماعنديش ماعنديش الا + +82 +00:06:44,930 --> 00:06:48,650 +polynomial في cosine او sine بكل بساطة بشيل ال + +83 +00:06:48,650 --> 00:06:52,150 +exponential اللي عندنا هنا و هكذايعني هذه الحالة + +84 +00:06:52,150 --> 00:06:55,730 +التالتة ممكن اتفرع منها بدل الحالة عشرة مش اجد + +85 +00:06:55,730 --> 00:06:59,470 +التلاتة واحد غايب مش مشكلة بيضلوا التنتين التانية + +86 +00:06:59,470 --> 00:07:04,730 +تجيبي و بدي اكتب زيهم و هكذا واضح كلامي؟ طيب نجين + +87 +00:07:04,730 --> 00:07:11,330 +ما هي قصة ال S هذه تعالى نشوفهذه هي المعادلة + +88 +00:07:11,330 --> 00:07:15,610 +الأصلية اخذت ال homogenous differential equation و + +89 +00:07:15,610 --> 00:07:21,630 +طلعت الحالتها c1y1 زائد c2y2 زائد c2y2 + +90 +00:07:25,430 --> 00:07:30,790 +the non negative integer S يبقى ال S هذه عدد صحيح + +91 +00:07:30,790 --> 00:07:35,650 +موجب قد يكون صفر و قد يكون واحد و قد يكون اتنين + +92 +00:07:35,650 --> 00:07:41,840 +فقط لغير المعادلة اللي هي من الرتبة الثانيةماله + +93 +00:07:41,840 --> 00:07:46,960 +بيقول it's the smallest integer أصغر عدد صحيح such + +94 +00:07:46,960 --> 00:07:52,020 +that بحيث no term مافيش عندي ولا حد في ال + +95 +00:07:52,020 --> 00:07:56,500 +particular solution capital Y of T is a solution ل + +96 +00:07:56,500 --> 00:08:00,580 +ال homogeneous differential equation المناظرة يعني + +97 +00:08:00,580 --> 00:08:07,150 +ايش؟ يعني لما نكتب شكل الحل اللي عندي هذابديش يكون + +98 +00:08:07,150 --> 00:08:13,550 +ولا term فيه زي أي term في حل ال homogeneous يعني + +99 +00:08:13,550 --> 00:08:19,410 +احنا عندنا حل ال homogeneous اللي هو c1y1 زي c2y2 + +100 +00:08:19,410 --> 00:08:24,730 +كام term؟ termين بديش ولا term من ال termين هدول + +101 +00:08:24,730 --> 00:08:31,510 +يشبه اي term من ال termات اللي موجودة عندي هذا طيب + +102 +00:08:31,510 --> 00:08:37,740 +افترض كان في تشابههذه الترمات تبعات الحل + +103 +00:08:37,740 --> 00:08:43,460 +الهوموجينيس والنهوموجينيس إذا مافيش ترم يشبه أي + +104 +00:08:43,460 --> 00:08:45,660 +ترم سبزيرو + +105 +00:08:46,870 --> 00:08:52,350 +من البداية قبل ما نشتغل طب إذا لجيت term هنا يشبه + +106 +00:08:52,350 --> 00:08:58,450 +term هنا automatic بحط s بقداش عنده هنا بواحد و + +107 +00:08:58,450 --> 00:09:03,030 +بعدين بطلع لما قلت حط s بواحد بصير هذه T أس N plus + +108 +00:09:03,030 --> 00:09:07,450 +one T أس N إلى A N T + +109 +00:09:15,100 --> 00:09:18,420 +هل هناك تشابه بين الطرفين او لا؟ اذا لم يكن هناك + +110 +00:09:18,420 --> 00:09:22,340 +تشابه فالله المؤمن القتالي يبقى S بواحد اذا لا + +111 +00:09:22,340 --> 00:09:27,460 +يزال هناك تشابه فانا بحط S بجداش باتنين يعني اضرب + +112 +00:09:27,460 --> 00:09:32,950 +الحل اللي عندي في T تربيعطبعا من حد مجروف يتيه + +113 +00:09:32,950 --> 00:09:37,350 +تربية لايمكن يتلاقي term في ال particular solution + +114 +00:09:37,350 --> 00:09:42,790 +يشبه أي term في الحل ال non homogeneous + +115 +00:09:42,790 --> 00:09:49,050 +differential equation ماشي يا بنات يبقى من الأن + +116 +00:09:49,050 --> 00:09:53,790 +فصاعدا بدي ألخص الكلام اللي قلته مرة ثانية عشان + +117 +00:09:53,790 --> 00:09:57,840 +اللي أجيبه التأخراتنحل الـ Non-homogeneous + +118 +00:09:57,840 --> 00:10:01,940 +differential equation بالشكل هذا اللي المعاملات + +119 +00:10:01,940 --> 00:10:07,160 +كلها ثوابت وG of T على أي شكل من الأشكال التلاتة + +120 +00:10:07,160 --> 00:10:12,520 +اللي عندنا هذه تمام؟ مش أنا حل ههه أول ما ابدوا + +121 +00:10:12,520 --> 00:10:16,600 +باطلع في المعادلة اللي عندى المعاملات تبعت ثوابت + +122 +00:10:16,600 --> 00:10:20,700 +ماشي الحالعن طريق جي وف تي بدي اتطلع فيها اي شكل + +123 +00:10:20,700 --> 00:10:25,740 +من الأشكال هذه موجود اذا بقدر احل بال undetermined + +124 +00:10:25,740 --> 00:10:29,380 +coefficients طيب كيف بدي اسوي؟ بدي اخد ال + +125 +00:10:29,380 --> 00:10:32,040 +homogeneous differential equation اللي عندى هذا في + +126 +00:10:32,040 --> 00:10:36,870 +الاول قبل المبدأو طلع الحل تبعها زي ما كنا بنحل في + +127 +00:10:36,870 --> 00:10:41,390 +ال sections الماضية repeated roots, unrepeated + +128 +00:10:41,390 --> 00:10:44,550 +roots, complex roots أو complex conjugate roots + +129 +00:10:44,550 --> 00:10:48,110 +تمام؟ جيبنا الحل بنبرز و بنقول له قعد ع الشجة لسه + +130 +00:10:48,110 --> 00:10:51,970 +بدنا نرجعلك بدنا نيجي نجيب شكل ال particular + +131 +00:10:51,970 --> 00:10:57,030 +solution شكل ال particular solutionيعتمد على شكل + +132 +00:10:57,030 --> 00:11:01,450 +الـ G of T، بعدين بطلع في الـ G of T، لجيتها + +133 +00:11:01,450 --> 00:11:06,410 +polynomial بحط T أس S في polynomial زيها، بس + +134 +00:11:06,410 --> 00:11:10,150 +الثوابت بصير، و مش الثوابت اللي هناك، ثوابت إجداد، + +135 +00:11:10,150 --> 00:11:17,260 +تمام؟ و بعدين بطلع هلكل term هنا فيه شبه من أي + +136 +00:11:17,260 --> 00:11:21,060 +term من حالة المعادلة هدى ولا لأ، إذا مافيش تشابه + +137 +00:11:21,060 --> 00:11:25,920 +بقوله S ب Zero وبالتالي بكون عندي هدى اضطررت + +138 +00:11:25,920 --> 00:11:31,970 +بالمرة و بضل هذا هو الحلبالمثل هنا وهنا وهنا بطير + +139 +00:11:31,970 --> 00:11:36,190 +ال T to the power S والباقي بضل هو العلم تمام؟ + +140 +00:11:36,190 --> 00:11:40,950 +لجيت فيه تشابه بقول استنى شوية حط S بواحد يبقى + +141 +00:11:40,950 --> 00:11:45,710 +بصير ان دي T أس واحد يعني T بصير T مضروبة في ال + +142 +00:11:45,710 --> 00:11:51,010 +polynomial هنا او هنا او هنا و هنايبقى صار عندي + +143 +00:11:51,010 --> 00:11:55,090 +عدة ترمزين تقريبا تيوز ان زاد واحد و تيوز ان و + +144 +00:11:55,090 --> 00:12:01,190 +تيوز ان نقص واحد لغاية AN في T وبعدين باطلة هل اي + +145 +00:12:01,190 --> 00:12:05,710 +term عندي يشبه اي term في حل ال homogeneous ولا لا + +146 +00:12:06,300 --> 00:12:10,480 +إذا مافيش تشابه خلاص تمام يبقى S بواحد، إذا في + +147 +00:12:10,480 --> 00:12:15,080 +تشابه بحط S باتنين، من الحد ماحط S باتنين مش + +148 +00:12:15,080 --> 00:12:23,000 +هتلاقي ولا term في اللي هنا يشبه أي term من هنابعد + +149 +00:12:23,000 --> 00:12:27,800 +ذلك بيظل ال routine كيف بدنا نجد الثوابت هذا ما + +150 +00:12:27,800 --> 00:12:35,120 +سنعرفه لكم من خلال المسائل يبقى يا بنات عمود في + +151 +00:12:35,120 --> 00:12:39,660 +قرية عندي ان اطلعيلي S اول شي بدك اتحل ال + +152 +00:12:39,660 --> 00:12:45,000 +homogeneous هذه بعد ذلك بدك اطلعيلي شكل ال Sأنا + +153 +00:12:45,000 --> 00:12:48,480 +كمصحى إذا جبتلي ال S صحيح بوصول عليه عشر درجات بحط + +154 +00:12:48,480 --> 00:12:51,980 +لك سبعة على حال ال homogenous أو على قيمة S صحيح + +155 +00:12:51,980 --> 00:12:55,320 +بحط لك سبعة درجات والثلاثة على الشغل الروتيني بس + +156 +00:12:55,320 --> 00:12:59,440 +اللي بظل بعد ذلك تمام؟ في حدا فيكم اللي ايه تسأل + +157 +00:12:59,440 --> 00:13:02,680 +في الكلام اللي قلته قبله خلاص ماعنديش نظري خلاص + +158 +00:13:02,680 --> 00:13:06,900 +بدناش ننقش على مجموعة من الأمثلة حدا فيكم بتسأل + +159 +00:13:06,900 --> 00:13:15,170 +ايه سؤال؟ اه مش؟الكلام اللى قلناه بدنا ندخله على + +160 +00:13:15,170 --> 00:13:24,190 +أرض الواقع من خلال الأمثلة أول مثال examples أول + +161 +00:13:24,190 --> 00:13:29,590 +مثال من هذه الأمثلة اللى هو سؤال 17 من الكتاب + +162 +00:13:29,590 --> 00:13:36,150 +بيقول solve the initial value problem + +163 +00:13:56,300 --> 00:13:57,700 +Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y'' + +164 +00:14:07,480 --> 00:14:11,140 +يبقى اقول ان انا اول شغلة بدي اعملها بدي احل ال + +165 +00:14:11,140 --> 00:14:15,560 +homogenous differential equation لذلك بروح بقول + +166 +00:14:15,560 --> 00:14:26,920 +let Y تساوي E قصة RT بيه solution of the + +167 +00:14:26,920 --> 00:14:33,380 +homogenous differential equation + +168 +00:15:00,260 --> 00:15:01,660 +Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y'' + +169 +00:15:01,900 --> 00:15:07,880 +يبقى احل الهوموجينيس هديله رمز من ايه يا بنات Y و + +170 +00:15:07,880 --> 00:15:11,960 +احط تحته C مشان اميزه عن ال particular solution + +171 +00:15:11,960 --> 00:15:18,860 +يبقى هقول Y complementary solution بده يساوي C1 + +172 +00:15:18,860 --> 00:15:27,820 +Cos 2T ZC2 Sin 2T و بريوزيه و قولله اتريح ايه شوية + +173 +00:15:29,070 --> 00:15:32,970 +يبقى خلصنا من حلميا ال homogenous differential + +174 +00:15:32,970 --> 00:15:37,350 +equation اللى عندنا الان بدنا نيجي لل particular + +175 +00:15:37,350 --> 00:15:47,090 +solution يبقى باجي بقوله the particular solution + +176 +00:15:47,090 --> 00:15:59,520 +of the homogenius differential equation سميها ليها + +177 +00:15:59,520 --> 00:16:10,520 +دي star star is capital Y of T بده + +178 +00:16:10,520 --> 00:16:18,340 +يساوي T to the power S فينطلع في شكل مين؟ في شكل + +179 +00:16:18,340 --> 00:16:25,460 +الـG constant في مين؟ في sign باجي بطلع constant + +180 +00:16:25,460 --> 00:16:31,440 +يا بناتي يعني يعتبر polynomial من الدرجة الصفرية + +181 +00:16:31,440 --> 00:16:36,650 +يبقى بده أحط كبال و constantاتنين عندنا صين لوحدها + +182 +00:16:36,650 --> 00:16:43,210 +صين لوحدها يبقى بدي اكتب مين صين و cosine يبقى + +183 +00:16:43,210 --> 00:16:53,110 +باجي بقول له هذه A في صين اتنين T زائد B في cosine + +184 +00:16:53,110 --> 00:16:58,850 +اتنين T ماعنديش exponential بلها ال exponential + +185 +00:16:58,850 --> 00:17:07,400 +طيب باجي بطلعغطيلي هذه كأنها مش موجودة واطلليلي في + +186 +00:17:07,400 --> 00:17:13,440 +المقدار بين القوسين في تشابه بين الحالين هدول؟ عين + +187 +00:17:13,440 --> 00:17:19,340 +التشابه constant في cosine و constant في sine + +188 +00:17:19,340 --> 00:17:22,040 +constant في sine و constant في cosine اتنين الحمد + +189 +00:17:22,040 --> 00:17:29,450 +للهموجودة طيب يبقى S لايمكن ان تساوي Zero يبقى S + +190 +00:17:29,450 --> 00:17:34,950 +بتكون بقداش لو حطيت S بواحد ايش بيصير؟ لو حطيت S + +191 +00:17:34,950 --> 00:17:41,410 +بواحد بيصير هنا T بيصير AT sine 2T في تشابه من هنا + +192 +00:17:41,910 --> 00:17:48,310 +لأ بيصير هنا بي تي كوصين اتنين ت فيه تشابه يبقى + +193 +00:17:48,310 --> 00:17:55,420 +باجي بقوله here ال S تساوي واحدS تساوي 1 تخلي + +194 +00:17:55,420 --> 00:18:00,320 +مافيش تشابه بمبدل المقدارين على الأطلاق يبقى أصبح + +195 +00:18:00,320 --> 00:18:09,700 +capital Y of T بديه يساوي A T sine 2T زائد B T + +196 +00:18:09,700 --> 00:18:18,580 +cosine 2T بالشكل اللي عندنا واضحة زمان؟ خلاصنا؟ + +197 +00:18:18,580 --> 00:18:24,690 +يبقى عارفنا كيف نحدد ال S؟ بقول كمان مرةكتبنا شكل + +198 +00:18:24,690 --> 00:18:29,890 +ال Y ت طبقا للجدول اللى عندنا يبقى للنقطة رقم + +199 +00:18:29,890 --> 00:18:35,370 +تلاتة من الجدول بعدها باجي بقارن النتيجة اللى + +200 +00:18:35,370 --> 00:18:39,970 +عندنا هنا بالنتيجة دى فى تشابه والله مافيش بعد ما + +201 +00:18:39,970 --> 00:18:45,090 +غطي هذه اه تمام غطينا ت تدور S بيظل المقدار بين + +202 +00:18:45,090 --> 00:18:49,280 +القوسين اه والله فى تشابه ما بين الاتنينعندما يكون + +203 +00:18:49,280 --> 00:18:54,140 +هناك تشابه فانا اضع S بواحد وانتهينا من التشابه + +204 +00:18:54,140 --> 00:18:59,780 +بيقول اضع S بواحد سيصبح T مضروبة في المقدار هذا + +205 +00:18:59,780 --> 00:19:06,040 +كله سيصبح A T Sin 2 T زي B T Cos 2 فيه تشابه ما + +206 +00:19:06,040 --> 00:19:10,720 +بين اي term مافيش لو لجينا تشابه و لو في term واحد + +207 +00:19:10,720 --> 00:19:15,810 +فانا اضع S بقداشبإثنين لكن الآن مافيش تشابه إذا S + +208 +00:19:15,810 --> 00:19:21,690 +عندى بكام؟ بواحد صحيح حطينا S بواحد صحيح يبقى L + +209 +00:19:21,690 --> 00:19:27,010 +شكل ال particular solution للشكل التالي AT sin + +210 +00:19:27,010 --> 00:19:33,550 +اتنين T زائد BT cosine اتنين T إذا بقدر أجيب ال + +211 +00:19:33,550 --> 00:19:36,890 +solution تبع من ال differential equation اللي + +212 +00:19:36,890 --> 00:19:48,160 +عندنايبقى باجي بيقوله the general solution is Y + +213 +00:19:48,160 --> 00:19:59,940 +يسوى C1 Y1 C2 Y2 زاد capital Y of Tإذا بده يصير Y + +214 +00:19:59,940 --> 00:20:11,920 +تساوي C1 في mean في cosine 2T زي C2 في sin 2T هيهم + +215 +00:20:11,920 --> 00:20:25,690 +زي شكل من Y of Tشكل A بدنا نجيب بس شكل ال A و ال B + +216 +00:20:25,690 --> 00:20:30,510 +كده شو سافر خليها الخطوة دي بنخليها للاخر بعد ما + +217 +00:20:30,510 --> 00:20:38,620 +جيب ال A و ال Bيبقى capital Y of T بدها تساوي اللي + +218 +00:20:38,620 --> 00:20:42,840 +عندنا اللي هو A T sine زائد B T sine اتنين دي كده + +219 +00:20:42,840 --> 00:20:48,800 +بده اجيبها كتالي بدروح اشتقها مرتين و اعوض في راسي + +220 +00:20:48,800 --> 00:20:55,260 +المسألة فبجيب اقوله هاي Y prime as a function of T + +221 +00:20:55,260 --> 00:21:00,440 +هذه يا بنات مشتقة حصل ضرب دلتين وهذه مشتقة حصل ضرب + +222 +00:21:00,440 --> 00:21:12,730 +دلتينيبقى هذا بيصير a في sin 2t زائد 2at في cos 2t + +223 +00:21:12,730 --> 00:21:18,290 +يبقى اللي كتبته هذا مشتقت من الدالة الأولى كحاصل + +224 +00:21:18,290 --> 00:21:32,680 +ضرب دالتين زائد b في cos 2t نقص 2bt في sin 2tفي + +225 +00:21:32,680 --> 00:21:37,600 +حاجة بقدر أجمعها مع بعض بقت لكلها لإن هنا a sine + +226 +00:21:37,600 --> 00:21:43,740 +وعندك هنا t في sine وبالتالي انسى الموضوع بدنا + +227 +00:21:43,740 --> 00:21:50,220 +نشتاق كمان مرة يبقى باجي بقوله y w prime as a + +228 +00:21:50,220 --> 00:21:55,300 +function of t يبقى هذا الكلام بده يساوي لنشتاق + +229 +00:21:55,300 --> 00:22:00,780 +يبقى 2a في cosine 2t + +230 +00:22:02,600 --> 00:22:10,100 +هذه المشتقة تحصل ضرب دالتين يبقى زائد اتنين a في + +231 +00:22:10,100 --> 00:22:21,160 +cosine اتنين t ماقص اربعة a t في sin اتنين tخلصنا + +232 +00:22:21,160 --> 00:22:26,800 +مشتقة اول two terms بدنا نيجي لمشتقة ال two terms + +233 +00:22:26,800 --> 00:22:35,800 +الأخرى يبقى ناقص اتنين بي في sign اتنين تنجي هنا + +234 +00:22:35,800 --> 00:22:47,440 +ناقص اتنين بي في صين اتنين تي ناقص اللي هو اربع بي + +235 +00:22:47,440 --> 00:22:51,080 +تي في كوصين اتنين تي + +236 +00:22:55,900 --> 00:23:03,100 +هذه هي نفس هذه صحيح ولا لأ يبقى هذه تساوي اربعة + +237 +00:23:03,100 --> 00:23:05,800 +اكو صين اتنين T + +238 +00:23:10,480 --> 00:23:17,660 +هذول التنتين يبقى ناقص اربعة بي صين اتنين تي ناقص + +239 +00:23:17,660 --> 00:23:24,340 +اربعة بي صين اتنين تي بقى اللي عندنا مين؟ هذه و + +240 +00:23:24,340 --> 00:23:30,560 +هذه مافيش بينهم اي شغلة يبقى ناقص اربعة ا تي صين + +241 +00:23:30,560 --> 00:23:39,520 +اتنين تي وهنا ناقص اربعة بي تي فيكو صين اتنين تي + +242 +00:23:56,300 --> 00:24:01,700 +الان بعد ما جيبنا ال particular solution المشتقة + +243 +00:24:01,700 --> 00:24:05,840 +الأولى للمشتقة الثانية بدي ارجع و اوض وين في + +244 +00:24:05,840 --> 00:24:10,460 +المعادلة رقم start يبقى باجي بقوله substitute + +245 +00:24:19,610 --> 00:24:23,990 +ونحصل على وي دابلي برايم + +246 +00:24:29,420 --> 00:24:36,580 +يبقى 4a cos 2t + +247 +00:24:36,580 --> 00:24:40,280 +-4b + +248 +00:24:40,280 --> 00:24:42,620 +sin 2t + +249 +00:24:53,690 --> 00:25:02,150 +نقص اربعة بي نقص اربعة بي تي كوصين اتنين T هذا من + +250 +00:25:02,150 --> 00:25:09,170 +هذا Y ضابر الفراية بدي اربعة Y وين ال Y هيهابنروح + +251 +00:25:09,170 --> 00:25:15,570 +اضرب هذه في مين؟ في اربع بالموجة يبقى زائد اربعة a + +252 +00:25:15,570 --> 00:25:26,350 +t sine يبقى زائد اربعة a t sine اتنين t وهنا زائد + +253 +00:25:26,350 --> 00:25:35,810 +اربعة b t cosine اتنين tأتنين T كله بده يساوي + +254 +00:25:35,810 --> 00:25:38,930 +تلاتة + +255 +00:25:38,930 --> 00:25:46,430 +sign اتنين T تمام تعالوا نجمع و نشوف عندك هنا + +256 +00:25:46,430 --> 00:25:51,850 +اربعة AT sign اتنين T بالموجب وهذه بالسلب مع + +257 +00:25:51,850 --> 00:25:58,120 +السلامةوهذه بالسالب وهذه بالموجب مع السلامة كمان + +258 +00:25:58,120 --> 00:26:04,500 +يبقى شو ضال عندي امانات؟ اربعة اكو صين اتنين تي + +259 +00:26:04,500 --> 00:26:11,980 +ناقص اربعة بي صين اتنين تي بدي ساوي تلاتة في صين + +260 +00:26:11,980 --> 00:26:18,770 +اتنين تينعمل مقارنة بين الطرفين يعني بمقارنة + +261 +00:26:18,770 --> 00:26:23,990 +المعاملات في الطرفين بيصير معامل ال cosine هنا هو + +262 +00:26:23,990 --> 00:26:28,170 +معامل ال cosine هنا و معامل ال sine هنا هو معامل + +263 +00:26:28,170 --> 00:26:33,210 +ال sine هنا يبقى بيصير عندك اربعة ايه؟ قداشة سنة + +264 +00:26:33,210 --> 00:26:38,230 +بنات؟زيرو ماعنديش cosine هنا يبقى اللي يطيّره كإنه + +265 +00:26:38,230 --> 00:26:44,270 +zero يبقى أربعة A تساوي zero ومنها A تساوي zero + +266 +00:26:44,270 --> 00:26:50,690 +وناقص أربعة B بده يساوي قداش تلاتة المعامل تبع ال + +267 +00:26:50,690 --> 00:26:54,850 +sign هو نفس المعامل تبع ال sign يبقى B بده يساوي + +268 +00:26:54,850 --> 00:27:01,280 +ناقص تلات تربعإذا بناء عليه ال particular solution + +269 +00:27:01,280 --> 00:27:08,040 +Y of T صار على الشكل التالي هيونا ال A بي Zero + +270 +00:27:08,040 --> 00:27:13,500 +يبقى ال term هذا الله سهل عليه ال B بسالب تلت ربع + +271 +00:27:13,500 --> 00:27:22,020 +يبقى صار سالب تلت ربع T في Cos 2T + +272 +00:27:23,000 --> 00:27:30,000 +يبقى star the general solution + +273 +00:27:30,000 --> 00:27:43,000 +of the differential equation star is y تسوى c1y1 + +274 +00:27:43,000 --> 00:27:52,510 +c2y2 زائد capital Y of Tيبقى y تساوي طبعا طلعنا + +275 +00:27:52,510 --> 00:28:02,250 +اللي كان مبروز اللي هو من اللي هو c1 cos 2t c2 sin + +276 +00:28:02,250 --> 00:28:10,730 +2t ماقص تلت اربع t في cos 2t + +277 +00:28:13,080 --> 00:28:18,280 +لحد هنا انتهى حل المسألة لكن اشراح قال لي اعطاني + +278 +00:28:18,280 --> 00:28:23,320 +الناس ال conditions يعني بدي اجيب منهم قداش قيمة + +279 +00:28:23,320 --> 00:28:29,380 +c1 و c2 اذا ماعطيني y عند ال zero و y prime عند ال + +280 +00:28:29,380 --> 00:28:34,880 +zero يبقى بدروح اشتق عادي يبقى باجي بقوله y prime + +281 +00:28:34,880 --> 00:28:35,680 +يساوي + +282 +00:28:39,300 --> 00:28:47,460 +-2C1Sin2T زائد اللي هو 2C2Cos2T + +283 +00:28:47,460 --> 00:28:56,900 +هذه حصل ضرب دلتين ناقص تلات تربع Cos2T ناقص مع + +284 +00:28:56,900 --> 00:29:07,170 +ناقص بيصير زائد تلاتة على 2T في Sin2Tتفاضل cos + +285 +00:29:07,170 --> 00:29:12,350 +بسلب sin مع سلب بصير موجب ضرب تفاضل يزاوي اللي هو + +286 +00:29:12,350 --> 00:29:17,630 +اتنين مع الاربع نضال تلاتة على اتنين T sin اتنين T + +287 +00:29:17,630 --> 00:29:21,850 +يبقى هاي المشتقة الان نيجي الآن من ال initial + +288 +00:29:21,850 --> 00:29:25,390 +conditions ال initial condition الأولاني قال ان y + +289 +00:29:25,390 --> 00:29:30,670 +عند ال zero بده يسوى لاتنين يبقى y عند ال zero بده + +290 +00:29:30,670 --> 00:29:35,770 +يسوى اتنين impliesيبقى بده أشيل كل Y و أحط مكانها + +291 +00:29:35,770 --> 00:29:42,650 +2 و أشيل كل T و أحط مكانها 0 يبقى بصير عند هنا 2 + +292 +00:29:42,650 --> 00:29:51,530 +تساوي C1 حط هذه بـ 0 مع السلامة حط هذه بـ 0 في 1 + +293 +00:29:51,530 --> 00:30:00,240 +بـ 0 مع السلامة يبقى C1 يسمى كده؟ 2 جاهزينالانتشار + +294 +00:30:00,240 --> 00:30:01,300 +الانتشار الانتشار الانتشار الانتشار الانتشار + +295 +00:30:01,300 --> 00:30:02,340 +الانتشار الانتشار الانتشار الانتشار الانتشار + +296 +00:30:02,340 --> 00:30:04,900 +الانتشار الانتشار الانتشار الانتشار الانتشار + +297 +00:30:04,900 --> 00:30:04,900 +الانتشار الانتشار الانتشار الانتشار الانتشار + +298 +00:30:04,900 --> 00:30:07,440 +الانتشار الانتشار الانتشار الانتشار الانتشار + +299 +00:30:07,440 --> 00:30:08,900 +الانتشار الانتشار الانتشار الانتشار الانتشار + +300 +00:30:08,900 --> 00:30:08,900 +الانتشار الانتشار الانتشار الانتشار الانتشار + +301 +00:30:08,900 --> 00:30:14,680 +الانتشار الانتشار الانتشار الانتشار الانتشار + +302 +00:30:14,680 --> 00:30:24,100 +الانتشار الانتشار الانتشار الانتشزيرو بضل اتنين سي + +303 +00:30:24,100 --> 00:30:31,740 +اتنين زيرو بضل ناقص تلت اربع زيرو هذا مع السلامة + +304 +00:30:31,740 --> 00:30:37,360 +تمام يبقى بنات هذا بده يعطيلك انه اتنين سي اتنين + +305 +00:30:37,360 --> 00:30:41,680 +يساوي سلب تلت اربع بجيبها على الشجة هذا بيصير سلب + +306 +00:30:41,680 --> 00:30:48,800 +واحد زائد تلت اربع بضل جديد سلب رابع يبقى سلب رابع + +307 +00:30:49,060 --> 00:30:57,020 +هذا بدي اعطيك ان c2 يساوي سالب تمان يبقى اصبح ال + +308 +00:30:57,020 --> 00:31:03,460 +solution اللي عندي هذا على الشكل التالي y تساوي c1 + +309 +00:31:03,460 --> 00:31:12,920 +ب2 يبقى 2 cosine 2t c2 بسالب تمان يبقى سالب تمان + +310 +00:31:12,920 --> 00:31:26,990 +sin 2tنقص تلاتة ربع T cosine اتنين T يبجى هذا حل + +311 +00:31:26,990 --> 00:31:30,730 +ال initial value problem اللي عندنا حد فيه كله + +312 +00:31:30,730 --> 00:31:37,770 +يتساول هنا يبجى كل سؤال بد بشكل بيعتمد على شكل G + +313 +00:31:37,770 --> 00:31:38,850 +of T + +314 +00:32:09,620 --> 00:32:20,680 +مثال اتنين سؤال + +315 +00:32:20,680 --> 00:32:32,100 +ستة من الكتاب will you find the general solution + +316 +00:32:32,100 --> 00:32:34,800 +of + +317 +00:32:45,340 --> 00:32:53,100 +Y'Y'Y يساوي 2 + +318 +00:33:09,650 --> 00:33:13,130 +التكتيك اللى اتبعناها في حل المثال الماضي بنتبعه + +319 +00:33:13,130 --> 00:33:18,850 +هنا مع الفرق ملاحظة شكل الـG of T نهيكة عن ان هذه + +320 +00:33:18,850 --> 00:33:24,990 +ماهياش initial value problem طب كويس يبقى بدي ابدأ + +321 +00:33:24,990 --> 00:33:32,870 +بنفس الطريقة بدي اقول له let Y تساوي E أس RT ب A + +322 +00:33:32,870 --> 00:33:36,450 +solution of + +323 +00:34:05,310 --> 00:34:06,710 +Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y'' + +324 +00:34:06,940 --> 00:34:13,500 +يبقى R زائد واحد لكل تربيع يساوي zero يبقى ال R + +325 +00:34:13,500 --> 00:34:23,680 +تساوي كدهش سالب واحد يبقى هنا solution of + +326 +00:34:23,680 --> 00:34:34,640 +the homogeneous differential equation is Y تساوي C + +327 +00:34:34,640 --> 00:34:43,730 +واحدC2 في T في أثناء قصة T وبين مروزها نقول طيحة + +328 +00:34:43,730 --> 00:34:50,970 +على شجرة و هذا حد اظن repeated roots اللي أخدناه + +329 +00:34:50,970 --> 00:34:55,110 +المرة الماضية بيقول C1 زي C2 في T في ال + +330 +00:34:55,110 --> 00:34:58,990 +exponential اللي بتطلع عندنا الآن بعد هيك بدنا نجي + +331 +00:34:58,990 --> 00:35:02,610 +لمين لل non homogeneous differential equation بدي + +332 +00:35:02,610 --> 00:35:07,070 +أجيب ال particular solutionللـ non-homogeneous + +333 +00:35:07,070 --> 00:35:12,110 +differential equation فبروح بقوله the particular + +334 +00:35:12,110 --> 00:35:15,430 +solution + +335 +00:35:15,430 --> 00:35:27,800 +of equation star is capital Y of T بده يساويبعدها + +336 +00:35:27,800 --> 00:35:34,040 +بطلع على شكل G of T فبعدها بقول T to the power S + +337 +00:35:34,040 --> 00:35:38,280 +فيه constant في ال exponential يبقى polynomial من + +338 +00:35:38,280 --> 00:35:46,100 +الدرجة الصفرية يعني constant في E أس ناقص T بالشكل + +339 +00:35:46,100 --> 00:35:54,330 +اللي عندنابعد هكذا بروح أشوف ما هو شكل ال S بأجي + +340 +00:35:54,330 --> 00:35:59,210 +بطلع constant فيه و minus T أظن في عندي constant + +341 +00:35:59,210 --> 00:36:04,210 +فيه و minus T له ال term الأول صح؟ يبقى ال S + +342 +00:36:04,210 --> 00:36:09,270 +بقداش؟لو حطيت ال S بواحد تنتهي المشكلة ولا بتظل + +343 +00:36:09,270 --> 00:36:14,270 +تزال القائمة تعالى نشوف حط ال S بواحد بصير A T في + +344 +00:36:14,270 --> 00:36:20,530 +U اثناء قصة T باجي بقارن بلاقي زي هذا مصبوط يبقى S + +345 +00:36:20,530 --> 00:36:26,010 +تساوي واحد محلتش المشكلة يبقى S بجداش يبقى هنا هه + +346 +00:36:26,010 --> 00:36:33,120 +هيرالاس تساوي اتنين طب لو حطيت اس باتنين تنحل + +347 +00:36:33,120 --> 00:36:38,360 +المشكلة بصير AT تربية في ال exponential ماعنديش + +348 +00:36:38,360 --> 00:36:41,400 +constant في T تربية في ال exponential يبقى ايك + +349 +00:36:41,400 --> 00:36:47,520 +بتبقى مالها انحلت من المشكلة يبقى اصبح capital Y + +350 +00:36:47,520 --> 00:36:55,900 +of T تساوي AT تربية في وصناع قصتيالان بروح نجيب + +351 +00:36:55,900 --> 00:37:03,940 +ماهو شكل ال main شكل ال a فبروح اشتق هذه مرتين إذا + +352 +00:37:03,940 --> 00:37:09,380 +لو روحت اشتقتها المرة الأولى بصير capital Y prime + +353 +00:37:09,380 --> 00:37:20,960 +of Tبدي اساوي 2AT في EOS ناقص T ناقص AT تربيع في + +354 +00:37:20,960 --> 00:37:31,900 +EOS ناقص T او يا بنات بقدر اقول 2AT ناقص AT تربيع + +355 +00:37:31,900 --> 00:37:37,900 +كله في EOS ناقص Tيعني أخد يوس ناقص T عامل مشترك + +356 +00:37:37,900 --> 00:37:44,920 +نجيب المشتقة تاني يبقى capital Y double prime of T + +357 +00:37:44,920 --> 00:37:50,520 +بدا أجيب الدل اللي هو يبقى دي مشتقة حاصل ضرب دلتين + +358 +00:37:50,520 --> 00:38:01,460 +يبقى 2A في E أس ناقص T ناقص 2AT في E أس ناقص T + +359 +00:38:01,460 --> 00:38:07,400 +تفضل الأسبسالب واحد و ال exponential كما هي خلصنا + +360 +00:38:07,400 --> 00:38:12,220 +مشتقة أول term بدنا نجي لل term التاني يبقى ناقص + +361 +00:38:12,220 --> 00:38:23,400 +اتنين a t في a أس ناقص t زائد اللي هو a t تربيع في + +362 +00:38:23,400 --> 00:38:30,220 +a أس ناقص t طلعيلي هذه و هذه اتنين زي بعضبدي أخدهم + +363 +00:38:30,220 --> 00:38:34,500 +مع بعض و أخد ال exponential برا عامل مشترك يبقى + +364 +00:38:34,500 --> 00:38:44,220 +هذه بدأ تعطيني الشكل التالي 2A و هنا ناقص 4AT ناقص + +365 +00:38:44,220 --> 00:38:51,900 +4AT و زائد AT تربيع كله في ال exponential E أس + +366 +00:38:51,900 --> 00:38:57,500 +ناقص Tنمسك المعلومات اللى عندنا نرجع نعوض وين في + +367 +00:38:57,500 --> 00:39:05,520 +المعادلة الى star يبقى باقى بقوله substitute in + +368 +00:39:05,520 --> 00:39:08,500 +equation star + +369 +00:39:10,320 --> 00:39:15,500 +نحصل على ما ياتي وي دابلي برايم بدخل ال + +370 +00:39:15,500 --> 00:39:19,980 +exponential من الكل برا يبقى ايش بيصير النمنات هاي + +371 +00:39:19,980 --> 00:39:28,580 +اتنين ايه ناقص اربعة اتي زائد اتي تربية خلصنا وي + +372 +00:39:28,580 --> 00:39:34,100 +دابلي برايمأتنين بده اضربها في Y' هاي Y' هنا بده + +373 +00:39:34,100 --> 00:39:42,200 +اضربها في اتنين بصير اربعة AT يبقى زائد اربعة AT + +374 +00:39:42,200 --> 00:39:50,830 +ناقص اتنين AT تربيعيبقى اي ضربت هذه وين؟ في اتنين + +375 +00:39:50,830 --> 00:39:59,350 +بعدها زائد Y وين Y هيها يبقى زائد AT تربيع يبقى + +376 +00:39:59,350 --> 00:40:07,530 +زائد AT تربيع كل هذا في E أص ناقص T هذا الطرف + +377 +00:40:07,530 --> 00:40:16,490 +الشمال بدي ساوي اتنين E أص ناقص Tالان بقدر اقسم + +378 +00:40:16,490 --> 00:40:20,550 +الطرفين على ال exponential ان ال exponential الرقم + +379 +00:40:20,550 --> 00:40:25,630 +اكبر من ال zero يبقى لو قسمت عليه بروح ال term هذا + +380 +00:40:25,630 --> 00:40:31,950 +مع ال term هنا بعد هيك بده اجمع عند هنا اتنين a + +381 +00:40:31,950 --> 00:40:41,270 +مافيش غيرها يبقى هذه اتنين aنقص اربعة AT وزائد + +382 +00:40:41,270 --> 00:40:47,750 +اربعة AT مع السلامة بضل عندى AT تربية و AT تربية + +383 +00:40:47,750 --> 00:40:54,250 +باتنين AT تربية و سالب اتنين AT تربية يبقى مع + +384 +00:40:54,250 --> 00:41:00,930 +السلامة بضلش عندى الا اتنين A يساوي قداش ومنها A + +385 +00:41:00,930 --> 00:41:08,420 +تساوي واحد يبقى A تساوي واحديبقى بناء عليه أصبح ال + +386 +00:41:08,420 --> 00:41:15,300 +particular solution capital Y of T اللي هو T تربية + +387 +00:41:15,300 --> 00:41:17,340 +E أثناء قصتي + +388 +00:41:38,210 --> 00:41:42,630 +الان عندي حل + +389 +00:41:42,630 --> 00:41:46,090 +ال homogenous differential equation وعندي ال + +390 +00:41:46,090 --> 00:41:49,490 +particular solution للمن homogenous differential + +391 +00:41:49,490 --> 00:41:58,150 +equation إذا بقدر أجيب اللي هو ال general solution + +392 +00:41:58,150 --> 00:42:14,030 +of equation star s y تساويC1 زائد C2T في E أصناق T + +393 +00:42:14,030 --> 00:42:20,770 +زائد ال particular solution T تربية في E أصناق T T + +394 +00:42:20,770 --> 00:42:26,310 +تربية في E أصناق T والمسألة بيظل بدلالة ال + +395 +00:42:26,310 --> 00:42:32,990 +constant C1 وC2 لإن ماعنديش initial conditions + +396 +00:42:32,990 --> 00:42:44,870 +مثال رقم 3له سؤال سبعة من الكتاب بيقول لي solve + +397 +00:42:44,870 --> 00:42:53,790 +the differential equation حل المعادلة التفاضلية + +398 +00:42:53,790 --> 00:43:01,750 +اتنين y double prime زائد تلاتة y prime زائد y + +399 +00:43:01,750 --> 00:43:11,170 +يساوي T تربية زائد تلاتة sign TT تربيع زائد تلاتة + +400 +00:43:11,170 --> 00:43:23,190 +sign ال T لاحظوا + +401 +00:43:23,190 --> 00:43:27,130 +السؤال هذا زي السؤال اللي قبله بيختلف بس في شكل + +402 +00:43:27,130 --> 00:43:32,850 +main ال G of T طيب لما نوصلها بصير خير خلينا نبدأ + +403 +00:43:32,850 --> 00:43:36,230 +زي مبدأي في السؤالين تانيات و لما نوصلها الله + +404 +00:43:36,230 --> 00:43:44,360 +بحلهايبقى باجي بقوله let Y تساوي E أس RT بيه + +405 +00:43:44,360 --> 00:43:53,520 +solution of الواتنين Y double prime تلاتة Y prime + +406 +00:43:53,520 --> 00:44:06,820 +Y يساوي Zثم اتنين + +407 +00:44:06,820 --> 00:44:13,820 +ار ثربية زائد تلاتة ار زائد واحد بيساوي زيرو نحلل + +408 +00:44:13,820 --> 00:44:21,580 +هذه كحاصل ضرب قوسين ويساوي زيرو يبقى هنا اتنين ار + +409 +00:44:21,580 --> 00:44:28,340 +وهنا ار وهنا واحد وهنا واحدو هنا زائد وهنا زائد + +410 +00:44:28,680 --> 00:44:33,080 +يبقى زائد R وزائد اتنين R بزائد تلاتة R يبقى + +411 +00:44:33,080 --> 00:44:39,380 +تحليلنا سليم مائة بالمائة ومنها ال R بدها تساوي او + +412 +00:44:39,380 --> 00:44:44,520 +R واحد بده يساوي سالف واحد وR اتنين بده يساوي قداش + +413 +00:44:44,520 --> 00:44:53,420 +سالف نص يبقى حل ال homogeneous YC بده يساوي C واحد + +414 +00:44:53,420 --> 00:45:03,600 +في E أثناق S T زائد C اتنينفي إي أس ناقص نص T أو T + +415 +00:45:03,600 --> 00:45:10,320 +على مين؟ على الإتنين لحظة هنا حل ال homogeneous + +416 +00:45:10,320 --> 00:45:17,060 +كان repeated roots هنا real different roots وهكذا + +417 +00:45:17,060 --> 00:45:21,680 +يعني كأنه احنا جانين والأولانية كانت complex كأنه + +418 +00:45:21,680 --> 00:45:26,580 +احنا بالرجع من ال sections الماضيةماشي تقولي اللي + +419 +00:45:26,580 --> 00:45:30,320 +بدنا مراجعة ده احنا بنراجع اللي فات ديروا بالكم + +420 +00:45:30,320 --> 00:45:34,960 +ماشي يبقى هاي الشكل main حل ال homogeneous + +421 +00:45:34,960 --> 00:45:38,360 +differential equation بدنا حل ال non homogeneous + +422 +00:45:38,360 --> 00:45:43,160 +differential equation بجي بتطلع في شكل main في شكل + +423 +00:45:43,160 --> 00:45:49,980 +g of t g of t هي مجموعة دالتينمش مضغوبة ضرب زي ما + +424 +00:45:49,980 --> 00:45:54,680 +كان في الجدول صرتي تربية polynomial من الدرجة + +425 +00:45:54,680 --> 00:46:02,400 +الثانية وهذه constant في sign شو نعمل؟ بدي أضطر يا + +426 +00:46:02,400 --> 00:46:08,840 +بنات أفصل المعادلة التفاضلية إلى معادلتين كيف؟ + +427 +00:46:08,840 --> 00:46:13,700 +كالتالي فبجي بقول له هذه السمهالة الأصلية اللي هي + +428 +00:46:13,700 --> 00:46:19,420 +من معادلة startفبروح بقوله the differential + +429 +00:46:19,420 --> 00:46:29,080 +equation star is written as + +430 +00:46:29,080 --> 00:46:31,760 +.. بروح اكتبها على الشكل التالي + +431 +00:46:54,020 --> 00:47:00,200 +خلّي بالكم المعادلة هذه بتروح اكتب اتنين y w prime + +432 +00:47:00,200 --> 00:47:08,060 +زائد تلاتة y prime زائد y يساوي T تربيع و بدي + +433 +00:47:08,060 --> 00:47:15,580 +اعيدها كمان مرة اتنين y w prime زائد تلاتة y prime + +434 +00:47:15,580 --> 00:47:25,250 +زائد y يساوي تلاتة sine Tطبعا هتسأل واحدة فيكوا + +435 +00:47:25,250 --> 00:47:30,730 +اذا لم يكنوا واحدات اكترأقول له مال فعلا، فتقول لي + +436 +00:47:30,730 --> 00:47:34,630 +طيب أرجعهم الاصل، فأقول له بقى تعالي نجمع، يبقى لو + +437 +00:47:34,630 --> 00:47:38,730 +جمعنا هذا بيصير اتنين الطرف الشمال بيسوء الطرف + +438 +00:47:38,730 --> 00:47:42,730 +اليمين، صح ولا لا؟ لو قسمنا على اتنين بيصير الطرف + +439 +00:47:42,730 --> 00:47:45,610 +الشمال يسوء نص الطرف اليمين، كأنا ضربت الطرف + +440 +00:47:45,610 --> 00:47:50,850 +اليمين في قداش، في نص نص مقل وكنستن، هل يغير من + +441 +00:47:50,850 --> 00:47:56,220 +الشكل العام للحل؟بغير؟ لن يغير من الشكل العامل، + +442 +00:47:56,220 --> 00:48:01,900 +يكون الأصل نقسم عليه وهكذا تمام؟ يبقى هذا لن يغير + +443 +00:48:01,900 --> 00:48:06,340 +في الشكل العامل الحل على الإطلاق طب افرض كانوا + +444 +00:48:06,340 --> 00:48:11,090 +التلات ترمات والله أربعة، كل واحد شكلمش علاقة + +445 +00:48:11,090 --> 00:48:14,650 +بينهم بدل المعادلة هم يجب أن تكتب 3 أو 4 معادلة + +446 +00:48:14,650 --> 00:48:19,870 +حسب وضع المسألة طب تعالى نشوف كيف بدنا نكمل بعد + +447 +00:48:19,870 --> 00:48:25,510 +ذلك يبقى انا قسمت مسألتي صارت لي مسألة كله و الآن + +448 +00:48:25,510 --> 00:48:30,270 +بدعي المسألتين مش واحدة تمام بدنا نيجي للمسألة + +449 +00:48:30,270 --> 00:48:34,930 +الأولى بدنا نجيب ال particular solution و هروح + +450 +00:48:34,930 --> 00:48:43,620 +أسميه Y1 of Tهذه كمية المجدداش اذا بدي اكتب كمية + +451 +00:48:43,620 --> 00:48:44,320 +المجدداش المجدداش المجدداش المجدداش المجدداش + +452 +00:48:44,320 --> 00:48:47,620 +المجدداش المجدداش المجدداش المجدداش المجدداش + +453 +00:48:47,620 --> 00:48:50,300 +المجدداش المجدداش المجدداش المجدداش المجدداش + +454 +00:48:50,300 --> 00:48:50,380 +المجدداش المجدداش المجدداش المجدداش المجدداش + +455 +00:48:50,380 --> 00:48:51,740 +المجدداش المجدداش المجدداش المجدداش المجدداش + +456 +00:48:51,740 --> 00:48:51,740 +المجدداش المجدداش المجدداش المجدداش المجدداش + +457 +00:48:51,740 --> 00:48:56,180 +المجدداش المجدداش المجدداش المجدداش المجدداش + +458 +00:48:56,180 --> 00:49:03,000 +المجدداش المجدداش المجدداش المجدداش المجدداش المجد + +459 +00:49:03,520 --> 00:49:07,740 +يبقى هذه polynomial من الدرجات الثانية و لو انه + +460 +00:49:07,740 --> 00:49:10,680 +ماعنديش الا term واحد و هدولة طيرات يبقى بدك + +461 +00:49:10,680 --> 00:49:15,840 +تكتبيها كاملة و قد ما يطلع ال constants هدول يطلع + +462 +00:49:15,840 --> 00:49:22,720 +طيب بدنا نيجي هذه بدي أسميها Y2 of T يبقى T to the + +463 +00:49:22,720 --> 00:49:29,600 +power S في مدهجة أشوف برضه بنفس الطريقة هذي + +464 +00:49:29,600 --> 00:49:33,700 +constant فيه sign بدي أقول constant فيه signزائد + +465 +00:49:33,700 --> 00:49:40,100 +كونستانت في كوساين بحيث ولا كونستانت من هدول بيكون + +466 +00:49:40,100 --> 00:49:47,720 +موجود هناك إذا هنا باجي بقول هذه a sin t زائد b في + +467 +00:49:47,720 --> 00:49:53,400 +cos t ولا كونستانت من هنا هو نفس الكونستانت اللي + +468 +00:49:53,400 --> 00:49:58,260 +هناالان بتروح ادور على S هنا و S هنا كداش تساوي + +469 +00:49:58,260 --> 00:50:04,180 +باجي بطلع غطي هذي و باجي للمقدار بين القوسين في اي + +470 +00:50:04,180 --> 00:50:11,580 +تشابه بين هنا و هنا يبقى S بقداش Zero يبقى هنا S + +471 +00:50:11,580 --> 00:50:19,910 +تساوي Zero طب و هنا؟ بدهجة اشوففي تشابه ما بين هنا + +472 +00:50:19,910 --> 00:50:26,630 +و ما بين هنا يبقى كمان S بزيرو يبقى هنا كمان S + +473 +00:50:26,630 --> 00:50:33,930 +بزيرو يبقى أصبح capital Y1 of T في الحالة الأولى + +474 +00:50:33,930 --> 00:50:44,050 +بده يسوى A0 T تربيه زائد A1T زائد A2 و capital Y2 + +475 +00:50:44,050 --> 00:50:46,470 +of T بده يسوى من + +476 +00:51:15,510 --> 00:51:21,310 +Y1Y1Y1Y1Y1Y1Y1Y1Y1بدنا y2 prime as a function of t + +477 +00:51:21,310 --> 00:51:30,690 +يبقى a cosine t ناقص b في sine t بدنا y2 double + +478 +00:51:30,690 --> 00:51:36,730 +prime as a function of t يبقى ناقص a في sine t + +479 +00:51:36,730 --> 00:51:45,160 +ناقص b في cosine من tاللي فوق سميناها star + +480 +00:51:45,160 --> 00:51:49,540 +المعادلة هذي يسميها 1 يا بناتي والمعادلة هذي + +481 +00:51:49,540 --> 00:51:55,460 +يسميها لمين اتنين يبقى هدول بتدعوضهم في المعادلة + +482 +00:51:55,460 --> 00:52:00,320 +واحد واللي هناك بتدعوضهم اين في المعادلة اتنين + +483 +00:52:00,320 --> 00:52:07,620 +يبقى بداجي اقوله صح باسم substitute in equation + +484 +00:52:07,620 --> 00:52:15,170 +one we getنجل ال equation و نقل 2y double prime + +485 +00:52:15,170 --> 00:52:19,830 +وين ال y double prime؟ ها يعنى، نروح فيه كمان مين؟ + +486 +00:52:19,830 --> 00:52:27,330 +اتنين، يبقى هاي اربعة انهان، خلصنا منها، قل زائد + +487 +00:52:27,330 --> 00:52:33,780 +تلاتة y primeزائد تلاتة y prime يبقى هذه الدروبة + +488 +00:52:33,780 --> 00:52:42,280 +في من؟ في تلاتة يبقى زائد ستة a naught t زائد + +489 +00:52:42,280 --> 00:52:50,580 +تلاتة a oneهضربها في تلاتة اللي بعدها زائد Y يبقى + +490 +00:52:50,580 --> 00:53:02,100 +Y اللي فوق يبقى زائد A0 T ترابيع زائد A1 T زائد A2 + +491 +00:53:02,100 --> 00:53:05,740 +كله بده يسووا مين ال T ترابيع + +492 +00:53:07,820 --> 00:53:13,980 +نمسك التانية بالمرة yw prime هيها زي ما هي والله + +493 +00:53:13,980 --> 00:53:17,520 +في اتنين هي لأ اتنين yw prime لقد اضرب هذه في + +494 +00:53:17,520 --> 00:53:25,700 +اتنين يبقى هنا بالداجة و اقول لصابس تت يوت and + +495 +00:53:25,700 --> 00:53:32,700 +equation اتنين ويقل طبعا الشركة نخلص واحدة واحدة + +496 +00:53:32,700 --> 00:53:40,910 +نمسك هذهطاليلة هنا اربعة a node وهي تلاتة a one + +497 +00:53:40,910 --> 00:53:46,810 +هدول ال constants يبقى اربعة a node زائد تلاتة a + +498 +00:53:46,810 --> 00:53:57,390 +one بنيا ستة a node تي يبقى زائد ستة a node زائد + +499 +00:53:57,390 --> 00:54:01,410 +اه استني في a two يا بناتي وهنا + +500 +00:54:03,510 --> 00:54:09,210 +زائد A2 اللي هو الثوابت زائد A2 هذه الثوابت + +501 +00:54:09,210 --> 00:54:15,310 +أخدناهم مع بعض هذه فيها T وهذه فيها T يبقى زائد + +502 +00:54:15,310 --> 00:54:27,230 +6A0 زائد A1 كله في T خلصنا منها زائد A0 T تربيع + +503 +00:54:27,230 --> 00:54:33,400 +كله بيسوي T تربيعبدنا نقارن المعاملات في الطرفين + +504 +00:54:35,590 --> 00:54:41,550 +يبقى ال a naught كده تساوي؟ يبقى a naught تساوي + +505 +00:54:41,550 --> 00:54:49,850 +واحد الان ستة a naught زائد a one تساوي كده؟ Zero + +506 +00:54:49,850 --> 00:54:57,690 +a naught كده؟ واحد يبقى هذا يعطيك ان a one يساوي + +507 +00:54:57,690 --> 00:55:05,950 +كده؟ سالب ستةالان اربعة a node زائد تلاتة a one + +508 +00:55:05,950 --> 00:55:10,710 +زائد a two بده يساوي zero لأنه ماعنديش هنا + +509 +00:55:10,710 --> 00:55:17,550 +constant تمام المعلومات اللي حصلتها دي عليها هناها + +510 +00:55:17,550 --> 00:55:22,530 +بده استخدمها في مين في المعادلة التالتة يبقى a + +511 +00:55:22,530 --> 00:55:28,990 +node بواحد بضل اربعةوهندك a1 بناقص 6 يبقى ناقص 3 + +512 +00:55:28,990 --> 00:55:40,990 +في 6 ب 18 زائد a2 يساوي 0 يبقى a2 يساوي a2 بده + +513 +00:55:40,990 --> 00:55:45,770 +يساوي هنا بيبقى ناقص 14 وديها على الشجرة التانية + +514 +00:55:45,770 --> 00:55:54,680 +بصير 14 يبقى أصبح capital Y1 of 3اللي فوق بدهشيل + +515 +00:55:54,680 --> 00:56:00,620 +ال a نقطة وحط بدل 1 يبقى بوضع ال T تربيع بدهشيل ال + +516 +00:56:00,620 --> 00:56:08,060 +a1 وحط مكانها ناقص 6T او بدهشيل ال a2 وحط مكانها + +517 +00:56:08,060 --> 00:56:13,760 +جداش 14 اللي عملناه هنا بدهروح نكرر المعادلة + +518 +00:56:13,760 --> 00:56:19,310 +التانيةيبقى بداجة للمعادلة رقم اتنين لان اتنين y w + +519 +00:56:19,310 --> 00:56:26,030 +prime يبقى هذه بتضربها في قداش؟ في اتنين يبقى سالب + +520 +00:56:26,030 --> 00:56:34,430 +اتنين a sine t سالب اتنين b cosine t تلاتة في ال y + +521 +00:56:34,430 --> 00:56:41,040 +prime يبقى هذه بتضربها في تلاتة زائد تلاتةA cosine + +522 +00:56:41,040 --> 00:56:50,320 +of T ناقص تلاتة B sine of T بعدها زائد Y Y هي فوق + +523 +00:56:50,320 --> 00:56:58,080 +يبقى زائد اللي هو مين A في sine of T زائد B في + +524 +00:56:58,080 --> 00:57:06,900 +cosine of T كله بده يساوي تلاتة في sine of Tنجي + +525 +00:57:06,900 --> 00:57:13,380 +نشوف سالب اتنين ايه ال sign التي و ايه ال sign + +526 +00:57:13,380 --> 00:57:21,840 +التي مافيش غيرها يبقى هذه و هذه بضل ناقص ايه في ال + +527 +00:57:21,840 --> 00:57:33,250 +sign التينقص اتنين بي كوصين ال T و بي كوصين ال T و + +528 +00:57:33,250 --> 00:57:41,570 +بي كوصين ال T بظل ناقص بي في كوصين ال T يبقى هذه و + +529 +00:57:41,570 --> 00:57:48,790 +هذه راحة بظل عندك تلاتة A كوصين ال T زائد تلاتة A + +530 +00:57:48,790 --> 00:58:00,520 +كوصين ال Tناقص تلاتة بي في صين ال T بدي أجمع + +531 +00:58:00,520 --> 00:58:07,220 +اللي فيهم صين مع بعض يبقى يا بنات هاي ناقص A و + +532 +00:58:07,220 --> 00:58:18,500 +ناقص تلاتة بي كله في صين ال T و زائد تلاتة Aنقص B + +533 +00:58:18,500 --> 00:58:26,900 +في cos T بيكون ثلاثة sin T نعمل مقارنة ما بين + +534 +00:58:26,900 --> 00:58:39,380 +الطرفين يبقى ناقص B ناقص A ناقص A ناقص ثلاثة B في + +535 +00:58:39,380 --> 00:58:43,680 +sin T بيكون ثلاثة + +536 +00:58:44,360 --> 00:58:51,220 +اللي بعدها تلاتة a ناقص ال b بده يساوي كدهاش zero + +537 +00:58:51,220 --> 00:58:55,580 +لإن ماعنديش cosine على الشجة التانية معادلتين + +538 +00:58:55,580 --> 00:58:59,860 +بمجهولين بدي أحل المعادلتين هدول مع بعض و أشوف + +539 +00:58:59,860 --> 00:59:05,160 +كدهاش النتجة أقول لو روحت ضربت المعادلة الأولى في + +540 +00:59:05,160 --> 00:59:13,780 +تلاتة بصير ناقص تلاتة a ناقص تسعة b بده يساوي تسعة + +541 +00:59:14,090 --> 00:59:20,990 +وهنا هذه خلتها زي ما هي ناقص B يساوي Zero وجيت + +542 +00:59:20,990 --> 00:59:26,910 +جماعة بيروحوا هدول مع بعض يبقى هذا بيصير ناقص عشرة + +543 +00:59:26,910 --> 00:59:36,930 +B يساوي تسعة ومنها B يساوي ناقص تسعة عشر جبت ال B + +544 +00:59:36,930 --> 00:59:44,850 +بروح أجيب من ال A يبقى ال Aبقدر اجيبها من هنا من + +545 +00:59:44,850 --> 00:59:54,190 +المعادلة هذه 3A بده يساوي B بده يساوي قداش ناقص 9 + +546 +00:59:54,190 --> 01:00:01,750 +على 10بدي ايه؟ بقسم كله على قداش على تلاتة يبقى + +547 +01:00:01,750 --> 01:00:09,610 +ايه؟ بناقص تلاتة على عشرة وهذه مين؟ هذه ال B اللي + +548 +01:00:09,610 --> 01:00:18,290 +عندنا اذا انصار capital Y2 of t بده يساوي ال a + +549 +01:00:18,290 --> 01:00:26,790 +عندي بناقص تلاتة على عشرة في sin t و ال b سالب + +550 +01:00:26,790 --> 01:00:37,670 +تسعة عشر سالب تسعة على عشرة ثمين في cos t طيب جبت + +551 +01:00:37,670 --> 01:00:43,890 +y واحد و جبت y اتنينمجموع اتنين بيكوّل لمين ال + +552 +01:00:43,890 --> 01:00:48,610 +particular solution يبقى بصير ال particular + +553 +01:00:48,610 --> 01:00:55,770 +solution capital Y of T يساوي Y one of T زائد Y + +554 +01:00:55,770 --> 01:01:06,100 +two of T ويساوي T تربيع ماقص ستة T زاد اربعتاشرنقص + +555 +01:01:06,100 --> 01:01:13,640 +تلاتة على عشرة sine T نقص تسعة على عشرة cosine من + +556 +01:01:13,640 --> 01:01:23,220 +cosine T بدنا ال general solution يبقى باجي بقوله + +557 +01:01:23,220 --> 01:01:33,100 +the general solution of + +558 +01:01:34,090 --> 01:01:51,350 +Equation star is Y يسوى C1 Y1 C2 Y2 Y of T يبقى Y + +559 +01:01:51,350 --> 01:02:04,550 +يسوى C1 في E أس ناقص T C2 في E أس ناقص T على 2زائد + +560 +01:02:04,550 --> 01:02:10,590 +ال particular solution يبقى زائد T تربية ناقص ستة + +561 +01:02:10,590 --> 01:02:22,570 +T زائد أربعة عشر ناقص ثلاثة على عشرة sin T ناقص + +562 +01:02:22,570 --> 01:02:31,510 +تسعة على عشرة في cos Tيبقى هذا ال general solution + +563 +01:02:31,510 --> 01:02:38,150 +تبع المعادلة اللى عندنا حد فيكوا لايه التساؤل؟ + +564 +01:02:38,150 --> 01:02:41,770 +ابقى لاحظ ان حساب ال constant بزهج شوية فبدك تكون + +565 +01:02:41,770 --> 01:02:49,130 +impatient تكون صبورة شوية مشان ماتخلطش و بشواجه + +566 +01:02:49,130 --> 01:02:50,270 +شوية براحة + +567 +01:02:56,180 --> 01:03:01,340 +ممكن يجيك سؤال في الامتحان بالشكل هذا و تضطري تقسم + +568 +01:03:01,340 --> 01:03:06,860 +المعادلة إلى معادلتين و ممكن يجيك مباشرة حل + +569 +01:03:06,860 --> 01:03:12,400 +المعادلة لو نسكت و انت حرة حل براحتك تمام و ممكن + +570 +01:03:12,400 --> 01:03:16,960 +نعطيك سؤال و نقول كثير ال particular solution و + +571 +01:03:16,960 --> 01:03:20,920 +don't evaluate the constants ماتحسبيش ال constants + +572 +01:03:20,920 --> 01:03:24,920 +كيف نعطيك مثال توضيحي على ذلك + +573 +01:03:36,060 --> 01:03:45,940 +سؤال الرابع determine a + +574 +01:03:45,940 --> 01:03:50,240 +suitable form + +575 +01:03:50,240 --> 01:03:57,300 +شكل مناسب for the particular solution + +576 +01:04:06,030 --> 01:04:22,070 +على المحلل المحدد Y of T of الاختصارات + +577 +01:04:22,070 --> 01:04:25,670 +التالية الاختصارات + +578 +01:04:25,670 --> 01:04:29,530 +التالية الاختصارات الاختصارات الاختصارات + +579 +01:04:29,530 --> 01:04:30,850 +الاختصارات الاختصارات الاختصارات الاختصارات + +580 +01:04:30,850 --> 01:04:30,850 +الاختصارات الاختصارات الاختصارات الاختصارات + +581 +01:04:30,850 --> 01:04:33,430 +الاختصارات الاختصارات الاختصارات + +582 +01:04:35,340 --> 01:04:40,740 +the constants تحسبيش + +583 +01:04:40,740 --> 01:04:48,880 +الثوابت نمرا A سؤال عشرين من الكتاب يقول يو اي + +584 +01:04:48,880 --> 01:04:57,360 +دابلر prime زائد Y يساوي T في واحد زائد صينة T + +585 +01:05:30,140 --> 01:05:36,480 +سؤال مرة تانية بيقوللي حددلي شكل مناسب suitable + +586 +01:05:36,480 --> 01:05:41,780 +form لمين لل particular solution capital Y of T + +587 +01:05:41,780 --> 01:05:46,460 +لكل من المعادلة التفاضلية تانية وقاللي don't + +588 +01:05:46,460 --> 01:05:49,660 +evaluate the consonants لو بدناش هيك تحاسب ال + +589 +01:05:49,660 --> 01:05:54,180 +consonants بنكتب لكادبين جوسينه بخط غامج حتى كل + +590 +01:05:54,180 --> 01:05:57,700 +واحد مش تروح تقعد تقعد تحاسبه لضيع الوقت فيهابيكون + +591 +01:05:57,700 --> 01:06:00,620 +السؤال مقصص لخمس دقائق بدي كله عشر دقائق ولا ربع + +592 +01:06:00,620 --> 01:06:03,660 +ساعة مشان نجيب الكون وصلا لا احنا بدناش احنا بدناش + +593 +01:06:03,660 --> 01:06:07,560 +بتعرف اتجيبي شكل ال particular solution ولا لأ + +594 +01:06:07,560 --> 01:06:12,240 +تمام اعطاني اول مثلة بالشكل اللي عندنا هذا بقوله + +595 +01:06:12,240 --> 01:06:15,900 +كويس هذه هي بالشكل هذا لكن احنا ماشوفناش في المثال + +596 +01:06:15,900 --> 01:06:20,200 +واحد زي ال sign ال T لكن انا بقدر اكتب هذه على + +597 +01:06:20,200 --> 01:06:26,890 +الشكل التالي T زي T في sign ال Tيبقى فكّيت الجوص + +598 +01:06:26,890 --> 01:06:33,030 +وبالتالي صار شكله ملوك يبقى أنا بداجي أخد solution + +599 +01:06:33,030 --> 01:06:37,610 +بده أحل ال homogeneous في الأول يبقى باجي بقوله + +600 +01:06:37,610 --> 01:06:48,490 +let Y تساوي E أس RT ب solution of the differential + +601 +01:06:48,490 --> 01:06:59,540 +equation اللي هو YW primeزائد Y تساوي Zerothen the + +602 +01:06:59,540 --> 01:07:08,900 +characteristic equation is R تربيع زائد واحد يساوي + +603 +01:07:08,900 --> 01:07:14,520 +كم؟ Zero إيش رأيك؟ real ولا complex؟ complex يبقى + +604 +01:07:14,520 --> 01:07:21,440 +هذا بده يعطينا ان R تساوي زائد او ناقص من I بناء + +605 +01:07:21,440 --> 01:07:24,880 +عليه صار حل الهموجينيا صغير C + +606 +01:07:32,960 --> 01:07:39,040 +باريوزيلو وحنرجع بعد قليل نقارن معاه اللي قال بدنا + +607 +01:07:39,040 --> 01:07:42,760 +نروح ندور على ال particle solution فبدي بطل على + +608 +01:07:42,760 --> 01:07:46,540 +شكل المعادلة بنفع أخليها معادلة واحدة و الله غير + +609 +01:07:46,540 --> 01:07:51,160 +أحولها لمعادلتين يبقى مش إمكانية إلا نحولها إلى + +610 +01:07:51,160 --> 01:07:57,950 +معادلتين هذه سميها للمعادلة رقم starفبروح بقوله + +611 +01:07:57,950 --> 01:08:09,470 +the differential equation star is written as بروح + +612 +01:08:09,470 --> 01:08:17,300 +بكتبها على الشكل التالي اللي همينYW' زائد Y يساوي + +613 +01:08:17,300 --> 01:08:27,620 +T المعادلة التانية ال YW' زائد Y يساوي T في صين ال + +614 +01:08:27,620 --> 01:08:35,080 +T الآن بدنا نجيب ال particular solution Y1 of T + +615 +01:08:35,740 --> 01:08:41,260 +بقوله T to the power S فيه هذي polynomial من + +616 +01:08:41,260 --> 01:08:49,060 +الدرجة الأولى يبقى بروح بقوله A naught T زائد A1 + +617 +01:08:49,060 --> 01:08:56,940 +تمام بالمرة نحسب ال S طالع هذه في أي term بشبهها + +618 +01:08:56,940 --> 01:09:04,380 +يبقى ال S بقداشيبقى هنا ال S بدا تساوي Zero يبقى + +619 +01:09:04,380 --> 01:09:12,720 +capital Y one of T صار A naught T زائد A one نجيله + +620 +01:09:12,720 --> 01:09:21,120 +تاني هذي بدي أجيل capital Y two of T يبقى T to the + +621 +01:09:21,120 --> 01:09:27,940 +power S فيه هذي polynomial من الدرجة الأولى في ال + +622 +01:09:27,940 --> 01:09:32,380 +signيبقى بدي اكتب polynomial من الدرجة الأولى في + +623 +01:09:32,380 --> 01:09:36,780 +sin زائد polynomial من الدرجة الأولى في cosine + +624 +01:09:36,780 --> 01:09:42,340 +كمالك تمام تمام يبقى مش هروح اكتب إيهات لإن إيهات + +625 +01:09:42,340 --> 01:09:47,250 +كتبناهم هنا مينفعش اكتبهم إيهاتيبقى باجي بقول يبقى + +626 +01:09:47,250 --> 01:09:58,470 +B node T زائد B1 في مين؟ في صين الـT زائد أكتب C + +627 +01:09:58,470 --> 01:10:04,030 +بنفعل C node و C1 هي عند C1 و C2 بصير تناقض فيما + +628 +01:10:04,030 --> 01:10:09,970 +بينهم إذا بروح بكتب D node و كده يبقى باجي بكتبها + +629 +01:10:25,920 --> 01:10:27,320 +D0D1D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0 + +630 +01:10:28,000 --> 01:10:35,620 +هي بي تي في صين ال T ماعنديش بي تي في صين ال T طيب + +631 +01:10:35,620 --> 01:10:40,560 +عندي بي ون في صين يعني constant في صين اه عندي + +632 +01:10:40,560 --> 01:10:46,200 +constant هيو في صين بالمثل عندي constant في مين في + +633 +01:10:46,200 --> 01:10:51,980 +cos بجه S لايمكن ان تسوى من ال zero لإن في تشابه + +634 +01:10:51,980 --> 01:10:56,960 +بيصير ما بين الحالينيبقى انا بدى احط لسه بقداش لو + +635 +01:10:56,960 --> 01:11:03,520 +حطيتها بواحد بصير B not T ترابيع في زيها في sign + +636 +01:11:03,520 --> 01:11:10,720 +بصير B one T sign ال T في زيها لأ والتانية زيه + +637 +01:11:10,720 --> 01:11:16,100 +ودلوقتي بمش يبقى S هنا بقداش بواحد يبقى ال S تساوي + +638 +01:11:16,100 --> 01:11:23,060 +واحد يبقى أصبح capital Y of Tبدي اساوي B not T + +639 +01:11:23,060 --> 01:11:33,840 +تربيه زائد B 1 T في sin T زائد D not T تربيه زائد + +640 +01:11:33,840 --> 01:11:43,050 +D 1 T في cosine من في cosine Tإذا ما بقدر أجيب شكل + +641 +01:11:43,050 --> 01:11:46,170 +ال particular solution و الله روح أدور على ال + +642 +01:11:46,170 --> 01:11:50,430 +constant هو ريحني قال لي don't value the constant، + +643 +01:11:50,430 --> 01:11:54,890 +تحسبش ال constant، غير هيك، و قال لي هاتلي شكل ال + +644 +01:11:54,890 --> 01:12:00,700 +particular solution أكتر أمك بدوشلكن انا اتفرج ان + +645 +01:12:00,700 --> 01:12:05,720 +احل ال homogeneous لانه يجب ان يترتب على شكل الحل + +646 +01:12:05,720 --> 01:12:09,260 +ال homogeneous شكل ال particle of solution و لو + +647 +01:12:09,260 --> 01:12:12,320 +انه ماقاليش حل ال homogeneous يبقى اجباري اعمله + +648 +01:12:12,320 --> 01:12:19,280 +يبقى بناء علي يصار capital Y of T اللي بدويا و + +649 +01:12:19,280 --> 01:12:26,100 +capital Y1 of T زائد capital Y2 of Tيبقى ال + +650 +01:12:26,100 --> 01:12:31,140 +particular solution y of t بده يساوي ال y one اللي + +651 +01:12:31,140 --> 01:12:38,640 +هو ال a not t زائد ال a one ال y two يبقى زائد b + +652 +01:12:38,640 --> 01:12:49,900 +not t تربيع زائد b one t في من في صينة t زائد d + +653 +01:12:49,900 --> 01:12:58,650 +not t تربيع زائد d one t في منفي cos T يبقى هذا ال + +654 +01:12:58,650 --> 01:13:03,990 +particular solution اللي بده إياه اللي بده إياه + +655 +01:13:03,990 --> 01:13:07,830 +تمام؟ يبقى انت يا أنا من قصة من ال particular + +656 +01:13:07,830 --> 01:13:12,840 +solutionلو قال لي هاتلي ال general solution بدي + +657 +01:13:12,840 --> 01:13:17,000 +أروح أحسب ال constants دول لكن لو قال لي don't + +658 +01:13:17,000 --> 01:13:20,420 +evaluate the constants و هاتلي ال general solution + +659 +01:13:20,420 --> 01:13:24,360 +بجمعله بس هذا و هذاك و بقول له هاي ال general + +660 +01:13:24,360 --> 01:13:28,420 +solution يعطيك العافية تمام؟ بس إن ما كتبليش + +661 +01:13:28,420 --> 01:13:32,520 +بنجوسين don't evaluate the constants بدك تروح + +662 +01:13:32,520 --> 01:13:38,120 +وتحسبيهم غصبا عنك طيب نيجي ناخد نمرة B من السؤال + +663 +01:13:44,780 --> 01:13:53,220 +يبقى نمرة B له سؤال 23 بيقول + +664 +01:13:53,220 --> 01:13:58,440 +ليه المعادلة اللي هو نفس السؤال اللي عندنا هذا + +665 +01:13:58,440 --> 01:14:03,740 +بديش أغير نص لإنه هذا A وهذا نمرة B مباشرة Y + +666 +01:14:03,740 --> 01:14:13,520 +double prime ناقص 4Y prime زائد 4Y بده يساوي 2T + +667 +01:14:13,520 --> 01:14:22,570 +تربيعأتنين T ترابيع زائد أربعة T E أس اتنين T + +668 +01:14:22,570 --> 01:14:33,530 +أربعة T E أس اتنين T زائد T Sin زائد T Sin اتنين T + +669 +01:14:33,530 --> 01:14:36,750 +هذه + +670 +01:14:36,750 --> 01:14:42,840 +سميها ليه ال equation startيبقى هذا ال equation + +671 +01:14:42,840 --> 01:14:47,480 +star نفس المطلوب اللي عندنا هذا بدنا نجيب شكل ال + +672 +01:14:47,480 --> 01:14:52,700 +particular solution بدون ما نحسب man بدون ما نحسب + +673 +01:14:52,700 --> 01:14:57,760 +ال constants بعدين بقوله كويس يبقى هاي ال solution + +674 +01:14:57,760 --> 01:15:00,780 +بعدين + +675 +01:15:00,780 --> 01:15:12,970 +بقوله letY تساوي E أُس RT بأي solution of the + +676 +01:15:12,970 --> 01:15:22,310 +differential equation اللي هي ماين YW ناقص أربعة Y + +677 +01:15:22,310 --> 01:15:28,670 +زائد أربعة Y تساوي Zero بدنا نجيب ال + +678 +01:15:28,670 --> 01:15:35,990 +characteristic equation thenThe characteristic + +679 +01:15:35,990 --> 01:15:46,450 +equation is R تربيع ناقص أربعة R زائد أربعة بده + +680 +01:15:46,450 --> 01:15:53,730 +يساوي Zero هذه تعني ان R ناقص اتنين لكل تربيع + +681 +01:15:53,730 --> 01:15:59,710 +يساوي Zero يبقى repeated rows R واحد بده يساوي R + +682 +01:15:59,710 --> 01:16:06,860 +اتنين بده يساوي قداشيبقى بناء عليه حل الهموجينس YC + +683 +01:16:06,860 --> 01:16:17,540 +C1 زائد C2T في E أوس 2T الآن بدنا نيجي لل + +684 +01:16:17,540 --> 01:16:21,830 +particular solutionيبقى المعادلة هذه ما شاء الله + +685 +01:16:21,830 --> 01:16:26,670 +مدرجة تانية مدرجة الأولى في exponential مدرجة + +686 +01:16:26,670 --> 01:16:32,350 +الأولى في sine يعني لما للجدول كله راح ولا لا يبقى + +687 +01:16:32,350 --> 01:16:39,150 +لما .. يعني إجباري بدي أفصلها لقداش لتلت معادلات + +688 +01:16:39,150 --> 01:16:46,690 +مش تنتين يبقى بروح بقوله the differential equation + +689 +01:16:46,690 --> 01:16:56,240 +a staris written as يكتب على الشكل التالي الهيمين + +690 +01:16:56,240 --> 01:17:07,240 +yw ناقص اربعة y زائد اربعة y يساوي اتنين T تربيع و + +691 +01:17:07,240 --> 01:17:12,110 +بده اسمي هذه المعادلة رقم واحدبعد ذلك نعيدها كمان + +692 +01:17:12,110 --> 01:17:27,300 +مرة yw'-4y'زاد 4y يساوي 4t في e أقصى 2tهذه + +693 +01:17:27,300 --> 01:17:36,460 +المعادلة نسميها رقم 2 ونذهب إلى المعادلة YW'-4Y + +694 +01:17:36,460 --> 01:17:46,920 +'زائد 4Y يسامر طرف اليمين T في صين 2T ونسمي هذه + +695 +01:17:46,920 --> 01:17:53,410 +المعادلة رقم 3بدي اجيب ال particular solution لكل + +696 +01:17:53,410 --> 01:17:57,230 +معادلة من المعادلات الثلاث + +697 +01:18:19,720 --> 01:18:24,980 +انا برجع للمعادلة الأولى وبدي اجيب ال particular + +698 +01:18:24,980 --> 01:18:32,260 +solution فبروح بقوله capital Y1 of T بدي يساوي T + +699 +01:18:32,260 --> 01:18:38,300 +to the power S فيه هذي polynomial من الدرجة يبقى + +700 +01:18:38,300 --> 01:18:47,100 +بدروح اقوله a نقطة تربيع زائد a one T زائد a two + +701 +01:18:56,030 --> 01:19:01,490 +هل تشبه اي term من هنا لأ لانه ماعنديش exponential + +702 +01:19:01,490 --> 01:19:05,150 +صحيح اللي بين قوسين من ضر يقولوا بس مضروبة في + +703 +01:19:05,150 --> 01:19:08,990 +exponential ماعنديش exponential على الاطلاق يبقى + +704 +01:19:08,990 --> 01:19:15,930 +هنا S بقداش يبقى هنا بصير S تساوي Zero يبقى أصبح + +705 +01:19:15,930 --> 01:19:22,850 +capital Y one of Tبدي ساوي a not t تربيه زائد a + +706 +01:19:22,850 --> 01:19:30,170 +one t زائد a two تهيلة منها نيجي لهذه بدي capital + +707 +01:19:30,170 --> 01:19:37,390 +Y two of T T to the power S فيهطلعي لهذه + +708 +01:19:37,390 --> 01:19:42,130 +polynomial من الدرجة الأولى في ال exponential إذا + +709 +01:19:42,130 --> 01:19:46,090 +بدي أكتبها polynomial من الدرجة الأولى في ال + +710 +01:19:46,090 --> 01:19:50,510 +exponential بس بروحش أستخدم الرموز هذه بدي أجيب + +711 +01:19:50,510 --> 01:20:00,790 +غيرها يبقى بروح بقوله B0T زائد B1 كلها في E أس + +712 +01:20:00,790 --> 01:20:08,030 +اتنين Tو بعد ذلك بقول استنى شوية تعالى نشوف قداش + +713 +01:20:08,030 --> 01:20:14,150 +اسم بغطي هذه و باجى فى المقدار بين القوسين و + +714 +01:20:14,150 --> 01:20:20,210 +بقارنه مع حل ال homogenous differential equation + +715 +01:20:20,210 --> 01:20:24,830 +فى constant فيه يوسع اتنين T و انا عند هنا + +716 +01:20:24,830 --> 01:20:29,490 +constant فيه يوسع اتنين T يبقى فيه تشابهيبدأ أحط S + +717 +01:20:29,490 --> 01:20:37,070 +بقداش لو حطيت S بواحد بصير B not T تربيع تمام + +718 +01:20:37,070 --> 01:20:41,750 +ماعنديش الحمد لله تتربيع بس بيبقى B one T في ال + +719 +01:20:41,750 --> 01:20:47,610 +exponential موجود هنا يبقى S تساوي واحد لا تفيه + +720 +01:20:47,610 --> 01:20:53,770 +بالغرض وإنما S بقداش يبقى لو حطيت S تساوي اتنين + +721 +01:20:53,770 --> 01:20:58,970 +بضل تشابه عنديلأ اللاحظة لما كتبتلك الجدول في + +722 +01:20:58,970 --> 01:21:02,650 +بداية المعادلة قولتلك S يا Zero يا واحد يا اتنين + +723 +01:21:02,650 --> 01:21:08,190 +لا تزيد على ذلك في المعادلة من الرتبة الثانية لك + +724 +01:21:08,190 --> 01:21:11,650 +لو صارت تلتة و رابعة يمكن جيب تلاتة او اربعة او + +725 +01:21:11,650 --> 01:21:15,010 +خمسة كمان بس هذا موضوع الشابتر اللي جاي ان شاء + +726 +01:21:15,010 --> 01:21:19,450 +الله اللي هو شابترأربعة تمام يبقى ال S تساوي اتنين + +727 +01:21:19,450 --> 01:21:28,070 +إذا صار capital Y2 of T بده يساومين B0 T تكييب + +728 +01:21:28,070 --> 01:21:39,110 +زائد B1 T تربيع في E أس اتنين T تمام طيب بدنا نيجي + +729 +01:21:39,110 --> 01:21:47,990 +لمين لسؤال رقم تلاتةبنذهب نجيب Y3 as a function of + +730 +01:21:47,990 --> 01:21:54,910 +Tيبقى T to the power S في Polynomial + +731 +01:21:54,910 --> 01:21:59,830 +من الدرجة الأولى في Sine إذا بالزمن Polynomial من + +732 +01:21:59,830 --> 01:22:03,710 +الدرجة الأولى في Sine و Polynomial من الدرجة + +733 +01:22:03,710 --> 01:22:08,190 +الأولى في Cosine و Exponential ماله ماعنديش يبقى + +734 +01:22:08,190 --> 01:22:11,510 +بدنا نجي نكتب Polynomial من الدرجة الأولى في Sine + +735 +01:22:11,510 --> 01:22:14,770 +والرموز اللي استخدمتها الإيهات والبيهات انسوا + +736 +01:22:14,770 --> 01:22:19,160 +الموضوعوالسيهات يلحقوهم لإن السيهات كتبناهم هنا + +737 +01:22:19,160 --> 01:22:24,440 +يبقى دي و إيه بناخد يبقى باجي بقول له هذه بقدر + +738 +01:22:24,440 --> 01:22:32,940 +أكتبها دي نوت تي زائد دي وان في صين اتنين تي زائد + +739 +01:22:32,940 --> 01:22:41,600 +اي نوت تي زائد اي وان كله في قصين اتنين تي + +740 +01:22:41,600 --> 01:22:47,760 +وهيقفلنابعد هيك هاي القوس الكبير بدأ من هنا وقفل + +741 +01:22:47,760 --> 01:22:53,860 +هنا و ال T تدبر S مضروبة في الكل بدنا نيجي نشوف ال + +742 +01:22:53,860 --> 01:23:02,880 +S هل يوجد عندي constant في T في صيني 2T constant + +743 +01:23:02,880 --> 01:23:06,360 +ماعنديش الحمد لله الصيني ولا كتر يا ريح دماغك + +744 +01:23:06,360 --> 01:23:13,600 +بالمرة يبقى هنا S بقداش؟0 يبقى هنا ال S بدها تساوي + +745 +01:23:13,600 --> 01:23:20,200 +0 يبقى بناء علي Y تلاتة as a function of T بده + +746 +01:23:20,200 --> 01:23:31,200 +يساوي D NOT T زائد D 1 كله في sin 2T زائد E NOT T + +747 +01:23:31,200 --> 01:23:37,240 +زائد E 1 في cos 2T + +748 +01:23:39,280 --> 01:23:44,600 +قال لي هات ال particular solution يبقى باجي بقوله + +749 +01:23:44,600 --> 01:23:50,060 +the particular solution + +750 +01:23:50,060 --> 01:24:00,560 +of equation star is capital Y of T بده يسوي + +751 +01:24:00,560 --> 01:24:10,170 +capital Y1 of T capital Y2 of T زائدcapital Y3 of + +752 +01:24:10,170 --> 01:24:19,350 +T يبقى capital Y of T يبقى يساوي الأولان هو A0 T + +753 +01:24:19,350 --> 01:24:31,950 +ترابيع زائد A1 T زائد A2 capital Y2 B0 T تكييب B0 + +754 +01:24:31,950 --> 01:24:46,300 +T تكييب زائد B0 Tب1t تربيع ب1t تربيع في E أش اتنين + +755 +01:24:46,300 --> 01:24:56,820 +T E أش اتنين T زائد اللي بعده D نقدر T زائد D one + +756 +01:24:56,820 --> 01:25:00,100 +تمام في Sine اتنين T + +757 +01:25:12,300 --> 01:25:15,500 +يبقى هذا ال particular solution + +758 +01:25:17,530 --> 01:25:21,590 +الان لحد هيك انتهى ال section ابنات و الى يكون + +759 +01:25:21,590 --> 01:25:30,290 +ارقام المسائل اكثر ال sizes تلاتة ستة المسائل من + +760 +01:25:30,290 --> 01:25:41,060 +واحد لغاية تمنتاشر ال evenومن تسعة عشر لغاية ستة + +761 +01:25:41,060 --> 01:25:50,480 +وعشرين part ايه فقط بدنا ال odd يالا خليهم مرة + +762 +01:25:50,480 --> 01:25:57,400 +even ومرة odd الان ضايل عندنا هو section تلاتة + +763 +01:25:57,400 --> 01:25:57,820 +سبعة + diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/XSq4pVrKvY4_raw.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/XSq4pVrKvY4_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..2b238e8f98b221481cb3b6a61694901998664a4f --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/XSq4pVrKvY4_raw.srt @@ -0,0 +1,3312 @@ +1 +00:00:00,000 --> 00:00:02,560 +موسيقى + +2 +00:00:10,560 --> 00:00:15,380 +المرة اللى فاتت ابتدأنا في section تلاتة واحد اللى + +3 +00:00:15,380 --> 00:00:19,420 +هو second order homogeneous linear differential + +4 +00:00:19,420 --> 00:00:23,040 +equations شرحنا هذه النقطة جيبنا المعادلة + +5 +00:00:23,040 --> 00:00:26,700 +التفاضلية من الرتبة الثانية وال constant + +6 +00:00:26,700 --> 00:00:30,940 +coefficients جيبنا ال auxiliary equation او ال + +7 +00:00:30,940 --> 00:00:35,280 +characteristic equation اعطينا على ذلك مجموعة من + +8 +00:00:35,280 --> 00:00:41,720 +الأمثلة ولا يزال هناك مثالاتالمثال رقم تلاتة بيقول + +9 +00:00:41,720 --> 00:00:44,960 +solve the initial value problem اربعة y double + +10 +00:00:44,960 --> 00:00:49,300 +prime ناقص y يساوي زيرو y عند زيرو تساوي اتنين و y + +11 +00:00:49,300 --> 00:00:54,720 +prime عند زيرو تساوي بيتا قال لي و من ثم هاتلي شكل + +12 +00:00:54,720 --> 00:01:00,640 +البيتا بحيث ان الحل بده يقول الاصفر لما تي بده + +13 +00:01:00,640 --> 00:01:05,110 +تروح لوينللماء لانهاء اذا مطلوبين في المثال + +14 +00:01:05,110 --> 00:01:08,130 +المطلوب الاول يجب ان نحل ال initial value problem + +15 +00:01:08,130 --> 00:01:13,530 +والمطلوب الثاني يجب ان نجده قيمة beta لما T تذهب + +16 +00:01:13,530 --> 00:01:19,230 +للماء لانهاء ويكون الحل مساويا للصفر اذا نمشي بنفس + +17 +00:01:19,230 --> 00:01:24,390 +التكتيك اللى اتبعناه المرة الماضية في المحاضرة + +18 +00:01:24,390 --> 00:01:30,480 +الماضية كانت تاليةبدأ أقول له let Y تسوى E أُس RT + +19 +00:01:30,480 --> 00:01:45,840 +بي A solution to the given differential equation + +20 +00:01:45,840 --> 00:01:50,900 +يبقى بناء عليها بقول له the characteristic + +21 +00:01:50,900 --> 00:02:00,480 +equation is4R تربيع ناقص واحد يسوي كده اش؟ Zero + +22 +00:02:00,480 --> 00:02:11,320 +ومنها R تربيع تساوي ربع يبقى R تساوي زائد او ناقص + +23 +00:02:11,320 --> 00:02:18,280 +نصيبقى صارت الجذور عندي two real different truths + +24 +00:02:18,280 --> 00:02:24,880 +اللي هو مين؟ قيمتين حقيقيتين ومختلفتين يبقى بناء + +25 +00:02:24,880 --> 00:02:28,040 +عليه شكل ال general solution + +26 +00:02:35,880 --> 00:02:47,320 +Given differential equation as يبقى Y تساوي C1 A + +27 +00:02:47,320 --> 00:02:56,660 +أس سالب نص T يعني T على 2 زائد C2 A أس نص T بالشكل + +28 +00:02:56,660 --> 00:03:01,700 +اللي عندنا هذاهذا شكل الحل لكن راح اعطانا mainly + +29 +00:03:01,700 --> 00:03:07,720 +two initial conditions يبقى لو روحنا اشتقنا الحل + +30 +00:03:07,720 --> 00:03:15,560 +لأن هذا بيصير Y' يساوي ناقص مصي one E أس ناقص T + +31 +00:03:15,560 --> 00:03:25,980 +على اتنين زائد مصي two E أس T على اتنينبناء عليه + +32 +00:03:25,980 --> 00:03:28,740 +بدأ نيجي على ال initial conditions اللي عندنا الان + +33 +00:03:28,740 --> 00:03:35,320 +عندنا y عند ال zero بده يساوي 2 هذا معناه ان ال y + +34 +00:03:35,320 --> 00:03:44,420 +هذه 2 تساوي c1 و بيصير e of 0 اللي هو بواحد زاد c2 + +35 +00:03:44,420 --> 00:03:49,820 +e of 0 اللي هو بواحد ال condition التاني y prime + +36 +00:03:50,920 --> 00:03:56,540 +عين دي ال zero بده يساوي قداش beta هذا الكلام بده + +37 +00:03:56,540 --> 00:04:04,940 +يعطينا ايه بده يعطينا انه beta بدها تساوي بده اجي + +38 +00:04:04,940 --> 00:04:11,080 +على ال هدوحات مكانة دي اللي بيصير ناقص نص C1 يبقى + +39 +00:04:11,080 --> 00:04:21,760 +ناقص نص C1 و هناك زائد نص C2نحن بالنساس نحاول + +40 +00:04:21,760 --> 00:04:26,260 +نتخلص من أحد المجاهل و نحصل على المجهول التاني + +41 +00:04:26,260 --> 00:04:30,900 +بروح المعادلة الأولى بيخليها زي ما هي اتنين تساوي + +42 +00:04:30,900 --> 00:04:38,740 +C1 زائد C2 المعادلة التانية اتنين بيتا بدرساوي + +43 +00:04:38,740 --> 00:04:45,890 +ناقص C1 زائد C2 لو جمعنا هدول بروحوا مع بعضيبقى + +44 +00:04:45,890 --> 00:04:54,470 +بناء عليه هذا حياطناه انه 2C2 بده يساوي 2 زائد 2 + +45 +00:04:54,470 --> 00:05:02,870 +Beta لو جسمنا كله على 2 بصير C2 بده يساوي من 1 + +46 +00:05:02,870 --> 00:05:10,140 +زائد Betaنرجع نجيب C1 يبقى بناروح نعوض في المعادلة + +47 +00:05:10,140 --> 00:05:17,000 +الأولى يبقى اتنين بالدرساوي C1 بدناياها زائد واحد + +48 +00:05:17,000 --> 00:05:24,600 +زائد betaإذا بناء عليه C1 يبدو ساوي ننقل هذه على + +49 +00:05:24,600 --> 00:05:31,260 +الشجة التانية يبقى لدي جداش واحد ماقص بيتا يبقى + +50 +00:05:31,260 --> 00:05:35,420 +أصبح الحل تبع ال initial value problem the + +51 +00:05:35,420 --> 00:05:47,710 +solution of the initial value problem is Y تساويY + +52 +00:05:47,710 --> 00:05:52,950 +تساوي C1 بدا أشيل و أكتب بباله من الواحد ناقص Beta + +53 +00:05:52,950 --> 00:06:00,850 +واحد ناقص Beta في E أس ناقص T على اتنين C2 واحد + +54 +00:06:00,850 --> 00:06:08,550 +زائد Betaيبقى هنا كمان واحد زائد beta في E أس two + +55 +00:06:08,550 --> 00:06:14,310 +على اتنين يبقى هذا شكل الحل تبع ال initial value + +56 +00:06:14,310 --> 00:06:19,590 +problem وبالتالي هذا هو المطموب الأول في المسألة + +57 +00:06:19,590 --> 00:06:24,080 +solve the initial value problem حلناهاالمطلوب + +58 +00:06:24,080 --> 00:06:31,560 +التاني يقول find beta بحيث الحل هذا بده يقترب من + +59 +00:06:31,560 --> 00:06:35,580 +الصفر او بده يقول الى الصفر لما ت بده تقول لوين + +60 +00:06:35,580 --> 00:06:41,660 +للمال انهي، يعني هاخد ال limit للطرفين لما ت بده + +61 +00:06:41,660 --> 00:06:45,580 +تروح للمال انهي و أسويه بقداش بالصفر و أشوف شو + +62 +00:06:45,580 --> 00:06:52,840 +بيعطيناأذا بدي أخد limit لل Y لما T بدها تروح + +63 +00:06:52,840 --> 00:06:57,700 +للماء لنهاية هو عبارة عن limit لما T بدها تروح + +64 +00:06:57,700 --> 00:07:04,080 +للماء لنهاية للواحد ناقص Beta في E أس ناقص T على + +65 +00:07:04,080 --> 00:07:11,680 +اتنين زائد واحد زائد Beta في E أس T على اتنين وكل + +66 +00:07:11,680 --> 00:07:16,400 +هذا الكلام بده يسوى جداش يا بنات بده يسوى Zero + +67 +00:07:22,610 --> 00:07:29,090 +بنزل تحت نقص بيتا عدد على مالة نهاية يبقى نقص بيتا + +68 +00:07:29,090 --> 00:07:29,090 +عدد على مالة نهاية يبقى نقص بيتا عدد على مالة + +69 +00:07:29,090 --> 00:07:32,150 +نهاية يبقى نقص بيتا عدد على مالة نهاية يبقى نقص + +70 +00:07:32,150 --> 00:07:32,550 +بيتا عدد على مالة نهاية يبقى نقص بيتا عدد على مالة + +71 +00:07:32,550 --> 00:07:34,730 +نهاية يبقى نقص بيتا عدد على مالة نهاية يبقى نقص + +72 +00:07:34,730 --> 00:07:38,170 +بيتا عدد على مالة نهاية يبقى نقص بيتا عدد على مالة + +73 +00:07:38,170 --> 00:07:42,690 +نهاية يبقى نقص بيتا عدد على مالة نهاية يبقى نقص + +74 +00:07:42,690 --> 00:07:43,630 +بيتا عدد على مالة نهاية يب + +75 +00:07:47,590 --> 00:07:54,490 +معقول هذا الكلام؟ طيب سؤال هذا الكلام ماجتش ممكن + +76 +00:07:54,490 --> 00:08:00,750 +يساوي zeroهذا لا يمكن أن يساوي zero في يوم من + +77 +00:08:00,750 --> 00:08:04,550 +الأيام دائما و أبدا greater than zero يبقى اللي + +78 +00:08:04,550 --> 00:08:08,470 +بدي أخلي هذا المقدار zero اللي هو المعامل صحيح ولا + +79 +00:08:08,470 --> 00:08:15,290 +لا لواحد زائد beta يبقى باجي بقوله sense بما أن E + +80 +00:08:15,290 --> 00:08:22,380 +أس T على اتنين greater than zero we haveإن الواحد + +81 +00:08:22,380 --> 00:08:26,880 +زائد بيتا هي اللي بدها تساوي Zero يبقى بناء علينا + +82 +00:08:26,880 --> 00:08:31,800 +البيتا جداش بدها تساوي يبقى لو كانت بيتا تساوي + +83 +00:08:31,800 --> 00:08:35,700 +سالب واحد في ال initial condition اللي احنا حاطينه + +84 +00:08:35,700 --> 00:08:41,320 +هذا لكان الحل بده يروح فعلا ل Zero لما تي بده تروح + +85 +00:08:41,320 --> 00:08:48,700 +لوين؟ لما لا نهاية حد فيكوا لاقي تساوي هنا بنات؟هي + +86 +00:08:48,700 --> 00:08:54,100 +اي تساؤل؟ طب لاحظوا ان احنا أخدنا خمسة أمثلة و + +87 +00:08:54,100 --> 00:08:58,200 +كلهم على نفس النمط تقريبا، طبعا تخلف المسألة إلى + +88 +00:08:58,200 --> 00:09:03,000 +أخرى، لكن كله بنفس المفهوم طب بدنا نعطي مثال آخر + +89 +00:09:03,000 --> 00:09:07,700 +بس بطريقة غير شكل، كيف؟ بدنا نعطيكوا الحل و نقول + +90 +00:09:07,700 --> 00:09:11,960 +بدنا المسألة الأساسية، يبقى مثال رقم أربعة + +91 +00:09:39,890 --> 00:09:44,510 +الحل العام بتاعها هو + +92 +00:09:45,920 --> 00:09:55,840 +Y تساوي C1 في E أس اتنين T زاد C2 في E أس ناقص + +93 +00:09:55,840 --> 00:10:00,760 +تلاتة T واعتبري لهذه المعادلة اللي هي رقم واحد + +94 +00:10:10,370 --> 00:10:14,130 +بنرجع لسؤالنا مرة تانية بيقول يهاتل المعادلة + +95 +00:10:14,130 --> 00:10:19,390 +التفاضلية اللي الحل العام تبعها على الشكل Y يسوى + +96 +00:10:19,390 --> 00:10:27,070 +C1 في E أس اتنين T زائد C2 في E أس تلاتة سلب تلاتة + +97 +00:10:27,070 --> 00:10:32,450 +T بيقوله كويس يبجى هذا حل عام للمعادلة لنعرف ما هي + +98 +00:10:32,450 --> 00:10:37,170 +المعادلة التفاضلية اللي هذا الحل تبعها بالشكل + +99 +00:10:37,170 --> 00:10:38,470 +العام كيف نسويه بنها + +100 +00:10:48,460 --> 00:10:55,330 +ممتاز، يعني هذه معدلة من أي رتبة؟تانية لأنه عندي + +101 +00:10:55,330 --> 00:11:00,670 +مجموحة الليل كويس يبقى هذه من الرتبية التانية يبقى + +102 +00:11:00,670 --> 00:11:08,670 +انا لو قدرت اجيب C1 وC2 بنقدر ايه؟ عشان نجيب الشكل + +103 +00:11:08,670 --> 00:11:14,650 +العام للمعادلة مشان اجيب C1 وC2 بدى معادلتين وبدى + +104 +00:11:14,650 --> 00:11:18,110 +المشتقة الأولى تكون موجودة والمشتقة التانية تكون + +105 +00:11:18,110 --> 00:11:22,210 +موجودة صحيح ولا لا؟إذا بتروح أجيب المشتقة الأولى + +106 +00:11:22,210 --> 00:11:27,970 +والمشتقة الثانية واستغلهم في إيجاد قيمتين ثابت C1 + +107 +00:11:27,970 --> 00:11:33,430 +وC2 وبالتالي بجيب شكل المعادلة التفاضلية لذلك شو + +108 +00:11:33,430 --> 00:11:39,830 +بدى أعمل؟ بتروح أشتق مرتين وبعد هيك نشتغل شغلنا، + +109 +00:11:39,830 --> 00:11:43,670 +إذا لو جيت هنا بنات قولت why prime yourself؟ + +110 +00:11:48,370 --> 00:11:55,320 +2C1E2T-3C2E-3Tيبقى هاي جبت المشتقة الأولى لكن + +111 +00:11:55,320 --> 00:11:58,800 +معادلة منها الرتبة الثانية يعني بلزمني كمان main + +112 +00:11:58,800 --> 00:12:05,440 +مشتقة ثانية إذا لو روحت جبت ال yw prime يبقى هذه + +113 +00:12:05,440 --> 00:12:12,960 +بدها تساوي أربعة C one E أس اتنين T زائد تسعة C + +114 +00:12:12,960 --> 00:12:21,750 +two E أس سالب تلاتة Tتمام طب ايش رأيك؟ هدول بد + +115 +00:12:21,750 --> 00:12:29,490 +أضيع أحد المجاهيل، يعني بد أضيع C1 أو C2، شو نعمل؟ + +116 +00:12:29,490 --> 00:12:34,890 +ممكن نقرب المعادلة الأولى في سالب 2 و نجمعها مع + +117 +00:12:34,890 --> 00:12:38,890 +مين؟ مع المعادلة التالية و بالتالي بكون ضيعنا أحد + +118 +00:12:38,890 --> 00:12:44,990 +المجاهيلوبنجيب المجهول الثاني إذا لو جيت للمعادلة + +119 +00:12:44,990 --> 00:12:50,370 +الاتنين هدول مع بعض بدي أضرب المعادلة الأولى في + +120 +00:12:50,370 --> 00:12:57,330 +سلب اتنين يبقى بصير عندي سلب اتنين Y يسوى سلب + +121 +00:12:57,330 --> 00:13:07,190 +اتنين C1 E أس اتنين T سلب اتنين C2 E أس سلب تلاتة + +122 +00:13:07,190 --> 00:13:15,390 +Tالمعادلة الثانية بده خليها زي ما هي Y' يساوي 2C1E + +123 +00:13:15,390 --> 00:13:21,550 +-2T-3C2E + +124 +00:13:21,550 --> 00:13:28,010 +-3T يبقى ضربت المعادلة الأولى في سلب اتنين + +125 +00:13:28,010 --> 00:13:32,810 +والمعادلة الثانية خلتها كما هي شوفت لحظة ترمي + +126 +00:13:32,810 --> 00:13:38,350 +الاتنين هدولالاتنين are the same يبقى عند الجامع + +127 +00:13:38,350 --> 00:13:45,410 +مع السلامة يبقى بصير عندنا y prime ناقص اتنين y + +128 +00:13:45,410 --> 00:13:54,550 +يساوي نجمع هدول بصير ناقص خمسة c اتنين e أس ناقص + +129 +00:13:54,550 --> 00:14:02,350 +تلاتةمن هذه المعادلة بقدر أجيب له C2 تمام يبقى + +130 +00:14:02,350 --> 00:14:07,510 +بقدر أجيب C2 اللي عندنا هذه مشان أجيب C2 شو رايك + +131 +00:14:07,510 --> 00:14:13,340 +أضرب الطرفين في E أسطلات Tيبقى لو ضربنا الطرفين في + +132 +00:14:13,340 --> 00:14:20,320 +E أس تلاتة T أو في ناقص E أس تلاتة T، بدي أضرب هذه + +133 +00:14:20,320 --> 00:14:28,700 +كلها المعادلة في ناقص E أس ناقص تلاتة Tمش هنخلّيها + +134 +00:14:28,700 --> 00:14:34,400 +C2 بالموجة بيقبلش بيصير عندنا بيصير خمسة C2 هذا + +135 +00:14:34,400 --> 00:14:38,980 +الطرف اليمين لأنه انا ضربها فياش؟ في سالب يبقى + +136 +00:14:38,980 --> 00:14:42,900 +بيصير موجة E Os ثلاثة E مع E Os ناقص ثلاثة E بيصير + +137 +00:14:42,900 --> 00:14:48,340 +E Os Zero في C2 في C2 خلّصنا من الطرف اليمين الطرف + +138 +00:14:48,340 --> 00:14:53,680 +الشمال بدنا نضربه و نقولنا فقداش فناقص يبقى بيصير + +139 +00:14:54,300 --> 00:15:00,960 +هذه بالموجب وهذه بالسلب على طول الخط يبقى بصير + +140 +00:15:00,960 --> 00:15:09,880 +عندى جداش يساوي 2Y ناقص Y prime 2Y ناقص Y prime + +141 +00:15:09,880 --> 00:15:16,910 +وكل هذا الكلام مضروب في EOS 3Dأظن نقسم على خمسة + +142 +00:15:16,910 --> 00:15:24,510 +يكون جيبنا C2 يفقه لو قسمنا على خمسة بصير C2 يساوي + +143 +00:15:24,510 --> 00:15:32,070 +خمس فمين فتنين Y ناقص Y prime في E أس تلاتة T + +144 +00:15:40,830 --> 00:15:47,470 +لو جيت على المعادلة الأولى مثلا يبقى بصير عندنا + +145 +00:15:47,470 --> 00:15:55,030 +substitute in + +146 +00:15:55,030 --> 00:16:02,310 +equation one we getنحصل على ما ياتي هاي Y على + +147 +00:16:02,310 --> 00:16:12,370 +الشجة الشمال تساوي C1 بيبقى C1E2T + +148 +00:16:12,370 --> 00:16:22,970 +C2 زائد اللي هو مين خمس في اتنين Y ناقص Y primeفى + +149 +00:16:22,970 --> 00:16:28,010 +مين؟ فى E أس ناقص ثلاثة T مع E وزايد ثلاثة T مع + +150 +00:16:28,010 --> 00:16:34,210 +السلامة يبقى اتخلصنا منها طيب بدي اجيب هذه اين؟ + +151 +00:16:34,210 --> 00:16:39,570 +على الشجة التانية بصير عندي مين؟ C واحد E أس اتنين + +152 +00:16:39,570 --> 00:16:44,750 +T زي ما هو هذه بدي اتيجي يا بنات بإشارة سالم يبقى + +153 +00:16:44,750 --> 00:16:53,450 +بصير عندي Yسالب اتنين y ناقص y prime كلها على + +154 +00:16:53,450 --> 00:17:00,350 +كدهش؟ على خمسة او لو وحدنا المقامات كلها على خمسة + +155 +00:17:00,350 --> 00:17:10,160 +بصير خمسة y ناقص اتنين y زائد y prime y وساوياللي + +156 +00:17:10,160 --> 00:17:17,100 +هو تلاتة Y زائد Y Prime كله على جداش على خمسة طب + +157 +00:17:17,100 --> 00:17:22,460 +احنا بدنا C1 يبقى الـC1 بدي اضغط كله في E أس ناقص + +158 +00:17:22,460 --> 00:17:30,140 +اتنين T يبقى خمس في تلاتة Y زائد Y Prime في E أس + +159 +00:17:30,140 --> 00:17:38,930 +ناقص اتنين Tيبقى جبت C1 و C2 ارجع اعوض في المعادلة + +160 +00:17:38,930 --> 00:17:45,590 +الأولى و التانية نرجع نكبح اللينا + +161 +00:17:50,480 --> 00:17:55,420 +لو عوضت في المعادلة، بنفع؟ بنفعش، بصير مقدرة سواء + +162 +00:17:55,420 --> 00:17:58,840 +مقدرة و بتظهرش المشتقة الثانية، أنا بدي المشتقة + +163 +00:17:58,840 --> 00:18:02,180 +الثانية، إذا المعلومات اللي جبتها من المعادلة + +164 +00:18:02,180 --> 00:18:05,520 +الأولى والثانية بتروح عوض بها وين؟ في المعادلة + +165 +00:18:05,520 --> 00:18:09,230 +الجاتة بتستنى، اللي هي من المعادلة الرقم؟تلاتة، + +166 +00:18:09,230 --> 00:18:14,350 +إذا بدي أشيل C1 وC2 من المعادلة، رقم تلاتة بكون + +167 +00:18:14,350 --> 00:18:20,870 +حصلت على المطلوب يبقى بناء عليه، بدي يصير عندنا + +168 +00:18:20,870 --> 00:18:30,670 +مين؟بدا تساوي أربعة في C1 وين C1 هيو يبقى أربعة + +169 +00:18:30,670 --> 00:18:38,690 +على خمسة في تلاتة Y زائد Y prime في إيوس نقص اتنين + +170 +00:18:38,690 --> 00:18:42,990 +T مع إيوس اتنين T مع السلام الله يسهل عليهم + +171 +00:19:01,520 --> 00:19:06,380 +يبقى ماضلش عندي exponential functions مش ضايل عندي + +172 +00:19:06,380 --> 00:19:10,990 +الا المعادلة التفاضلية بس بدي أعيد ترتيبهايبقى لو + +173 +00:19:10,990 --> 00:19:16,090 +ضربت كله في خمسة، شو بيصير عندي؟ خمسة y double + +174 +00:19:16,090 --> 00:19:24,190 +prime يسوى اتماشر y زائد اربعة y prime زائد + +175 +00:19:24,190 --> 00:19:34,680 +تمانتاشر y ناقص تسعة y primeطب نجمع خمسة y w prime + +176 +00:19:34,680 --> 00:19:39,720 +يساوي عندي اتلاشر y وعندي تمانتاشر بصير كدهش + +177 +00:19:39,720 --> 00:19:48,960 +تلاتين y عندي اربع y prime وناقصها بيبقى ناقص خمسة + +178 +00:19:48,960 --> 00:19:55,690 +y primeتمام؟ طيب شو رايك نقسم كله على خمسة؟ يبقى + +179 +00:19:55,690 --> 00:20:01,130 +لو قسمنا على خمسة هذه بتعطينا ما يأتي Y double + +180 +00:20:01,130 --> 00:20:09,730 +prime بدأت ساوي ستة Y ناقص Y primeبنعملها معادلة + +181 +00:20:09,730 --> 00:20:19,990 +صفرية بيصير yw prime زائد y prime مقص 6y تساوي 0 + +182 +00:20:19,990 --> 00:20:24,250 +أليست homogeneous differential equation with + +183 +00:20:24,250 --> 00:20:29,310 +constant coefficients؟ مظبوط يبقى هي المعادلة + +184 +00:20:29,310 --> 00:20:34,770 +التفاضلية اللي الحل تبعها كان على الشكل اللي عندنا + +185 +00:20:34,770 --> 00:20:38,550 +هذا اللي أعطاناهذه المعاملة التفاضية لو روحتها و + +186 +00:20:38,550 --> 00:20:42,290 +حلتيها من جديد فبتطلع عندك main الحل اللى عندناها + +187 +00:20:42,290 --> 00:20:46,210 +حاطط في الكتاب عندك بيجي اربع اسهلة او خمس اسهلة + +188 +00:20:46,210 --> 00:20:52,030 +منها الموديل هذا احدهم كويس يبقى الباقي بنعمله + +189 +00:20:52,030 --> 00:20:56,270 +بنفس التكتيك و نفس الطريقةالمعادلة بيطالي بدي + +190 +00:20:56,270 --> 00:21:00,810 +أشتقها مرتين أحل المعادلة مع بعض أعود في المعادلة + +191 +00:21:00,810 --> 00:21:05,070 +التالتة عشان أجيب الكون أصلا C1 وC2 بالتالي بكون + +192 +00:21:05,070 --> 00:21:11,210 +حصلت على الحل كيف + +193 +00:21:11,210 --> 00:21:15,290 +ما تسوي جيبي لتحلي المعادلة مع بعض و أجيب C1 وC2 + +194 +00:21:15,290 --> 00:21:21,370 +بأي طريقة شئتي كيف؟ مش لازم نجيبهم و نحصل على + +195 +00:21:21,370 --> 00:21:21,910 +المعادلة + +196 +00:21:27,500 --> 00:21:38,240 +تعالى اقولى بس شو الفكرة ايش الفكرة اللى عندي ال + +197 +00:21:38,240 --> 00:21:46,780 +characteristic + +198 +00:21:46,780 --> 00:21:54,590 +equationوجهة نمر أخرى، وجهة بس هذه تميل إلى الحفظ + +199 +00:21:54,590 --> 00:22:00,610 +وليس إلى الفهم، صح؟ فهم، فهمك كويس أنا تماما، كلام + +200 +00:22:00,610 --> 00:22:04,290 +اللي بتقوله زميلتك صحية، بتقول أنا عند اللي هو قار + +201 +00:22:04,290 --> 00:22:07,670 +واحد وقار اثنان، بنقول هو الله كلامك صحيبدها + +202 +00:22:07,670 --> 00:22:12,610 +ترجعها إلى أصلها، يعني هذا بدها تقول إذا أنا عندي + +203 +00:22:12,610 --> 00:22:19,210 +جوس اسمه R نقص اتنين وعندي جوس اسمه R زائد تلاتة، + +204 +00:22:19,210 --> 00:22:23,250 +هدول مضروبات في بعضهم يساوي Zeroلش؟ لأن الحالين + +205 +00:22:23,250 --> 00:22:28,010 +are real and different، هي فاهم أن الحالين من خلال + +206 +00:22:28,010 --> 00:22:30,890 +ال two roots له اتنين are real and different، فبدت + +207 +00:22:30,890 --> 00:22:34,250 +تعمل العملية العكسية، برضه كلامها صحيح، مافي + +208 +00:22:34,250 --> 00:22:37,950 +إشكالية، كلامها مظلوم، وهي تعتبر another method + +209 +00:22:37,950 --> 00:22:41,770 +for the solution سواء هذين، والله هذين الاتنين + +210 +00:22:41,770 --> 00:22:46,070 +بوصلوا لنفس النتيجة، على أي حال، في فصل الماضي، في + +211 +00:22:46,070 --> 00:22:50,630 +انتحار أعمال الفصل الأول، جابولهم سؤال على هذه + +212 +00:22:50,630 --> 00:22:51,210 +النقطة + +213 +00:22:58,980 --> 00:23:03,140 +لحد هنا يكون انتهى ال section و لا يكون أرقام + +214 +00:23:03,140 --> 00:23:09,490 +المسائلعشان اكتبها هنا اكسر + +215 +00:23:09,490 --> 00:23:14,910 +سايزز ثلاثة + +216 +00:23:14,910 --> 00:23:23,370 +واحد المسائل من واحد لغاية تمانتاش وكذلك سؤال واحد + +217 +00:23:23,370 --> 00:23:24,030 +وعشرين + +218 +00:23:59,940 --> 00:24:03,520 +الواحد اللي خلصت أعمل أراضي الأشكال + +219 +00:24:13,750 --> 00:24:18,870 +وهي اخر سطر لازال موجود طيب + +220 +00:24:18,870 --> 00:24:24,370 +ننتقل الان لل section الجديد أو ال level section 3 + +221 +00:24:24,370 --> 00:24:25,370 +-2 + +222 +00:24:45,620 --> 00:24:50,460 +يبقى section تلاتة اتنين قلول fundamental + +223 +00:24:50,460 --> 00:24:55,360 +solutions + +224 +00:24:55,360 --> 00:25:06,500 +مجموعة الحلول الأساسية of linear homogeneous + +225 +00:25:06,500 --> 00:25:11,980 +differential equations + +226 +00:25:17,740 --> 00:25:24,180 +بنعرف شغلة جديدة ماكناش بنعرفها قبل هيك بقول let + +227 +00:25:24,180 --> 00:25:34,160 +ال P and ل Q بيه continuous functions بيه + +228 +00:25:34,160 --> 00:25:46,720 +continuous functions دوال متاصلة on an interval + +229 +00:25:49,730 --> 00:25:57,630 +ثم لأي عملية فاي ثم لأي + +230 +00:25:57,630 --> 00:26:10,170 +عملية فاي هذا مرتفع مرتفع + +231 +00:26:10,170 --> 00:26:14,030 +مرتفع مرتفع + +232 +00:26:22,830 --> 00:26:34,950 +the differential operator + +233 +00:26:34,950 --> 00:26:49,390 +المؤثر التفاضلي ال by theQuestion بالمعادلة اللي + +234 +00:26:49,390 --> 00:27:01,750 +هي من L of Phi بده ساوي Phi double prime زائد P of + +235 +00:27:01,750 --> 00:27:10,710 +T او زائد P في ال Phi prime زائد Q في ال Phi + +236 +00:27:17,970 --> 00:27:24,270 +the value of + +237 +00:27:24,270 --> 00:27:30,730 +L of I at + +238 +00:27:30,730 --> 00:27:39,870 +any point T اللي موجودة في ال interval I + +239 +00:27:42,590 --> 00:27:52,910 +بروح بقول L of Phi of T بدي ساوي Phi W prime of T + +240 +00:27:52,910 --> 00:28:03,270 +زائد P of T في Phi prime of T زائد Q of T في Phi + +241 +00:28:03,270 --> 00:28:04,650 +of T + +242 +00:28:09,620 --> 00:28:11,200 +ماذا بيحصل؟ + +243 +00:28:36,950 --> 00:28:41,730 +كلمة differential operator مؤثر تفاضلي لم نسمع + +244 +00:28:41,730 --> 00:28:46,490 +بهذه التسمية من قبل لا في calculus a ولا b ولا c + +245 +00:28:46,490 --> 00:28:51,990 +لكن هذا احنا سمعنا به في المعادلة التفاضلية انا ما + +246 +00:28:51,990 --> 00:28:58,030 +بهمن الاسم بهمن الجسم بهمن ما هو الشكل المؤثر + +247 +00:28:58,030 --> 00:29:04,470 +التفاضلي ولماذا سمي بهذا الاسميبقى العنوان اللي + +248 +00:29:04,470 --> 00:29:07,590 +احنا رافعينه ال fundamental solutions مجموعة + +249 +00:29:07,590 --> 00:29:11,850 +الحلول الأساسية of linear homogeneous differential + +250 +00:29:11,850 --> 00:29:17,190 +equations للمعادلة التفاضلية الخطية المتجانسة هذا + +251 +00:29:17,190 --> 00:29:20,930 +موضوع هذا ال sectionطبعا لما اقول fundamental + +252 +00:29:20,930 --> 00:29:24,810 +solution مجموعة الحلول الأساسية كأنه بد ال general + +253 +00:29:24,810 --> 00:29:30,850 +solution تمام ال general الحل العام اللذي يحتوي كل + +254 +00:29:30,850 --> 00:29:35,450 +الحلول الأخرى فلما اقول هذه مجموعة الحلول الأساسية + +255 +00:29:35,450 --> 00:29:41,780 +بأي حل أخر بيكون منضوي تحت هذه الحلولنبدأ المهد + +256 +00:29:41,780 --> 00:29:45,840 +لهذا الكلام بالتعريف التالي ثم بنظرية التعريف + +257 +00:29:45,840 --> 00:29:50,640 +بيقول افترض اني عندي دوال تنتين P and Q التنتين + +258 +00:29:50,640 --> 00:29:56,180 +دوال متصلة على فترة ما والتكن الفترة هادى I open + +259 +00:29:56,180 --> 00:30:01,040 +closed half open ماعنديش مشكلةتمام جالي for any + +260 +00:30:01,040 --> 00:30:06,180 +function phi لأي function phi that is twice + +261 +00:30:06,180 --> 00:30:10,420 +differentiable عن فترة I يعني لو عندي function phi + +262 +00:30:10,420 --> 00:30:16,200 +قابلة للاشتقاء مرتين على هذه الفترة لو زيادة أكتر + +263 +00:30:16,200 --> 00:30:19,960 +مافيش مشكلة المهم على الأقل بيبقى قابلة للاشتقاء + +264 +00:30:19,960 --> 00:30:23,020 +مرتين على المشتقى الأولى exist والمشتقى الثانية + +265 +00:30:23,020 --> 00:30:29,160 +exist على نفس الفترة هذهبنعرف المؤثر التفاضلي اللي + +266 +00:30:29,160 --> 00:30:35,900 +حدّيله الرمز L by the equation بالمعادلة A تالية L + +267 +00:30:35,900 --> 00:30:41,960 +of Phi شو معناه رياضيا، شو معناه عمليا، المشتقة + +268 +00:30:41,960 --> 00:30:46,200 +الثانية اللي الدالة Phi زائد ال function P اللي + +269 +00:30:46,200 --> 00:30:51,780 +فوق مضروبة في مشتقة ال Phi زائد ال همين الدالة Q + +270 +00:30:51,780 --> 00:30:57,120 +اللي فوق مضروبة في Phi itselfلاحظوا الاشتقاق من + +271 +00:30:57,120 --> 00:31:03,640 +الرتبة الثانية يبقى من هنا سميته مؤثر تفاضلي لأن + +272 +00:31:03,640 --> 00:31:09,340 +المشتقات موجودة من هنا سمناه مؤثر تفاضلي، شو + +273 +00:31:09,340 --> 00:31:14,440 +بيعمل؟ هو عبارة عن مجموعة المشتقة الثانية لـ Phi + +274 +00:31:14,440 --> 00:31:18,900 +زي P of T المعطاة في مشتقة الـ Phi زي Q of T + +275 +00:31:18,900 --> 00:31:23,650 +المعطاة في Phiيعني لو جينا نقارن بينه وبين + +276 +00:31:23,650 --> 00:31:28,970 +المعادلة التفابلية من الرتبة الثانية مش هيها برضه + +277 +00:31:28,970 --> 00:31:33,150 +كنا بقول y double prime زي p of t في y prime زي q + +278 +00:31:33,150 --> 00:31:40,210 +of t في y بده يساوي zero صحيح ولا لا؟ تمام تماملو + +279 +00:31:40,210 --> 00:31:44,790 +المؤثر التفاضلي بدي احسبه عند اي نقطة موجودة في ال + +280 +00:31:44,790 --> 00:31:49,830 +interval فاي بقول ممتاز ده بنخليه يؤثر على ال + +281 +00:31:49,830 --> 00:31:55,410 +variable اللي هو T يبقى بصير عند مين الـPhi of T + +282 +00:31:55,410 --> 00:31:59,310 +هو عبارة عن فايدة بالـPrime of T زاد P of T في + +283 +00:31:59,310 --> 00:32:04,470 +الـPhi Prime of T زاد Q of T في الـPhi خلي + +284 +00:32:04,470 --> 00:32:10,000 +المعلومة هذه عندك و تعالى ناخد النظرية التاليةو + +285 +00:32:10,000 --> 00:32:14,060 +بدنا نحاول نقرأ بعد ذلك النظرية و نفهم ما هو + +286 +00:32:14,060 --> 00:32:19,640 +المقصود منها يبقى بنا نيجي لأن النظرية بتقول ما + +287 +00:32:19,640 --> 00:32:26,500 +يأتي consider the + +288 +00:32:26,500 --> 00:32:32,080 +initial value problem مين هي ال initial value + +289 +00:32:32,080 --> 00:32:40,740 +problem؟ YW prime زائد P of T في Y primeزائد Q of + +290 +00:32:40,740 --> 00:32:49,580 +T في ال Y بده ساوي G of T وفي نفس الوقت Y عند ال T + +291 +00:32:49,580 --> 00:32:57,100 +node بده ساوي Y node Y prime عند ال T node بده + +292 +00:32:57,100 --> 00:33:11,240 +ساوي Y prime node where حيث ال Pوالـ q و ال gene + +293 +00:33:11,240 --> 00:33:21,200 +our continuous functions are continuous functions + +294 +00:33:21,200 --> 00:33:30,600 +on an interval I + +295 +00:33:30,600 --> 00:33:38,640 +على اللي هو الفترة اللي عندنا Iوهذا يحتوي على نقطة + +296 +00:33:38,640 --> 00:33:43,120 +T0 وهذا يحتوي + +297 +00:33:43,120 --> 00:33:47,320 +على + +298 +00:33:47,320 --> 00:33:52,020 +نقطة T0 + +299 +00:33:52,020 --> 00:33:55,500 +هناك + +300 +00:33:55,500 --> 00:34:00,920 +حلوة محددة هناك + +301 +00:34:00,920 --> 00:34:03,080 +حلوة محددة + +302 +00:34:06,230 --> 00:34:13,970 +one solution there exactly + +303 +00:34:13,970 --> 00:34:28,230 +one solution y تساوي five of t five of t of + +304 +00:34:28,230 --> 00:34:41,010 +this problem of this initial value problemand the + +305 +00:34:41,010 --> 00:34:50,450 +solution exists on + +306 +00:34:50,450 --> 00:34:55,930 +the interval I + +307 +00:35:37,010 --> 00:35:41,410 +نرجع لنص النظرية اللى احنا كتبينها مرة تانية بدنا + +308 +00:35:41,410 --> 00:35:45,850 +نقرأ تانية و بعدين هطلع عليكم مجموعة من الأسئلة + +309 +00:35:45,850 --> 00:35:50,490 +دججوا معايا جالي اعتبر ال initial value problem + +310 +00:35:50,490 --> 00:35:54,470 +اعطاني معادلة مرتبة تانية زى ما انت شايفين و حطلي + +311 +00:35:54,470 --> 00:35:59,310 +عليها two initial conditionsبعدها قال لي حيث ال P + +312 +00:35:59,310 --> 00:36:02,430 +و ال Q و ال G اللي هو الأسطوان اللي بنكررها دايما + +313 +00:36:02,430 --> 00:36:06,110 +كنت هو ال functions على ال interval I و قال لي ال + +314 +00:36:06,110 --> 00:36:10,210 +interval I بتحتوي نقطة من T node يبقى T node هي + +315 +00:36:10,210 --> 00:36:14,890 +نقطة موجودة في ال interval I اللي عندنا في ال + +316 +00:36:14,890 --> 00:36:19,770 +interval I يبقى T node موجودة داخل ال interval قال + +317 +00:36:19,770 --> 00:36:25,050 +لي then there is exactly يبقى دي كلها تعتبر ماطيان + +318 +00:36:25,260 --> 00:36:30,920 +إذا قال لي هناك حل + +319 +00:36:30,920 --> 00:36:38,500 +واحد فقط يوجد على + +320 +00:36:38,500 --> 00:36:41,380 +الفترة اللي عندنا الهيمين I + +321 +00:36:45,190 --> 00:36:49,570 +initial value problem احنا لما كان معنا الشروط + +322 +00:36:49,570 --> 00:36:53,850 +بجينا نجيب ال general solution اللي ممكن يكون مئة + +323 +00:36:53,850 --> 00:36:57,290 +solution ولا الف solution ولا مليون solution حسب + +324 +00:36:57,290 --> 00:37:01,790 +ما نغير ال constants مظبوط لكن لما كنا نعود بال + +325 +00:37:01,790 --> 00:37:05,790 +initial conditions بلاجيش اللي حل واحد بضلش عندي + +326 +00:37:05,790 --> 00:37:09,910 +C1 وC2 يبقى بصير عندي there is a unique solution + +327 +00:37:09,910 --> 00:37:15,890 +حل وحيد فقط مافيش غيره النظرية بتقولهذا الـ + +328 +00:37:15,890 --> 00:37:20,290 +initial condition موجود عندك و هدول الدوال ال P و + +329 +00:37:20,290 --> 00:37:23,310 +ال Q و ال G continuous function على ال interval I + +330 +00:37:23,310 --> 00:37:28,650 +و ال interval I بتحتوي على النقطة T0 جلد ان there + +331 +00:37:28,650 --> 00:37:34,330 +exist يوجد exactly one solution و هذا معرف على نفس + +332 +00:37:34,330 --> 00:37:39,030 +الفترة اللي هي I يعني كأن ال domain تبع هذا الحل + +333 +00:37:39,030 --> 00:37:44,040 +هو نفس الفترة اللي هي عملنا Iمين تقولي ماذا فهمت + +334 +00:37:44,040 --> 00:37:50,300 +من نص النظرية؟ تفضلي، نتعرض عليك في الأول ياخدعك، + +335 +00:37:50,300 --> 00:37:53,420 +تفضلي، + +336 +00:37:53,420 --> 00:37:58,500 +ممتاز، + +337 +00:37:58,500 --> 00:38:04,040 +أجابة إيجابتين، أعطتنا مفهوم، المفهوم الواحد إن أي + +338 +00:38:04,040 --> 00:38:10,310 +problem لها حل، كلامها جيد، ممتاز جداالإجابة + +339 +00:38:10,310 --> 00:38:14,690 +الثانية أن هذا الحل يكون وحيدا و اي الناس بيقول + +340 +00:38:14,690 --> 00:38:18,530 +there is exactly، بالضبط يوجد one صلى الله عليه + +341 +00:38:18,530 --> 00:38:23,870 +وما جدتش اتنين، هذا أعطتني مفهومين من خلال نص + +342 +00:38:23,870 --> 00:38:28,070 +النظرية، كلامها سليم مائة بالمائة، في مفهوم كمان + +343 +00:38:28,070 --> 00:38:33,670 +تالت ممكن نفهم يا بنات؟ على الحل نفسه، اه مين اللي + +344 +00:38:33,670 --> 00:38:37,330 +بتحكي اللي بتقول هذا الحل فترة؟ اه انت؟ واسمك انت؟ + +345 +00:38:38,290 --> 00:38:43,850 +هدوء أبو شويش بتتكمل لأخدعه ما فات، يعني عندما + +346 +00:38:43,850 --> 00:38:49,950 +تستدرك عليها ما فات بتقول إن هذا الحل الوحيد يتحقق + +347 +00:38:49,950 --> 00:38:54,810 +عالمين على نفس الفترة I اللي دوالي التلاتة ال P و + +348 +00:38:54,810 --> 00:38:58,650 +ال Q و الجي كنتني واص عليها، كلام سليم، هذه + +349 +00:38:58,650 --> 00:39:04,900 +المفهوم تبع النظريةيبقى في عندي حل، و الحل وحيد، و + +350 +00:39:04,900 --> 00:39:09,740 +الحل معرف على نفس الفترة الليومين اللي الدول + +351 +00:39:09,740 --> 00:39:14,720 +التلاتة هذه معرفة عليها، كلام مظبوط، يبقى هاي اللي + +352 +00:39:14,720 --> 00:39:17,960 +بتقوله نظري، أكتر من هيك مابينه، يعني النظري بتقول + +353 +00:39:17,960 --> 00:39:22,970 +في عندك حل، و الحل هذا وحيد مافيش غيرهوالحل بيكون + +354 +00:39:22,970 --> 00:39:25,770 +معرف على نفس الفترة اللي دوالها دي بيكون عليها + +355 +00:39:25,770 --> 00:39:33,210 +دوال متاصلة يبقى باللخص ما قالته الأخ دعاء والأخت + +356 +00:39:33,210 --> 00:39:44,770 +الثانية في التالي يبقى بدي بقول this theorem say + +357 +00:39:44,770 --> 00:39:46,110 +three things + +358 +00:39:51,250 --> 00:39:57,950 +هذه بتقول ثلاثة أشياء نمر واحد the initial value + +359 +00:39:57,950 --> 00:40:05,270 +problem has a solution في حل ال initial value + +360 +00:40:05,270 --> 00:40:16,170 +problem اتنين the initial value problem has only + +361 +00:40:16,170 --> 00:40:27,880 +one solutionمافيش إلا حل واحد فقط لغيره تلاتة the + +362 +00:40:27,880 --> 00:40:32,920 +solution phi + +363 +00:40:32,920 --> 00:40:43,160 +of T is defined معرف on the interval + +364 +00:40:49,740 --> 00:40:59,040 +على الفترة I wear the coefficient + +365 +00:40:59,040 --> 00:41:04,320 +coefficients + +366 +00:41:04,320 --> 00:41:13,940 +اللي هو ال P و ال Q and ال G are continuous + +367 +00:41:19,130 --> 00:41:28,190 +continuous and the solution and solution + +368 +00:41:28,190 --> 00:41:32,670 +is + +369 +00:41:32,670 --> 00:41:47,310 +at least على الأقل a twice differentiable function + +370 +00:41:54,770 --> 00:41:59,530 +نعطي بعض الأمثلة على هذه المفاهيم + +371 +00:42:20,500 --> 00:42:31,920 +المثال الأول example بيقول + +372 +00:42:31,920 --> 00:42:37,900 +ي determine the + +373 +00:42:37,900 --> 00:42:39,340 +longest interval + +374 +00:42:52,900 --> 00:43:04,020 +The initial value problem have + +375 +00:43:04,020 --> 00:43:07,360 +a + +376 +00:43:07,360 --> 00:43:11,220 +unique twice + +377 +00:43:11,220 --> 00:43:12,880 +differentiable solution + +378 +00:43:39,000 --> 00:43:45,140 +don't attempt to + +379 +00:43:45,140 --> 00:43:46,280 +find the solution + +380 +00:44:00,370 --> 00:44:09,210 +عشرة من الكتاب طبعا yw prime زائد cosine t في ال y + +381 +00:44:09,210 --> 00:44:22,760 +prime زائد y في ال absolute value ل tزائد تلاتة لن + +382 +00:44:22,760 --> 00:44:30,080 +absolute value ل T في ال Y بده يساوي Zero و ال Y + +383 +00:44:30,080 --> 00:44:37,960 +عند اتنين بده يساوي تلاتة و ال Y prime عند اتنين + +384 +00:44:37,960 --> 00:44:40,760 +بده يساوي مان بده يساوي واحد + +385 +00:44:58,310 --> 00:45:02,690 +يبقى النظرية السابقة لقبل قليل لما أعطاني معادلة + +386 +00:45:02,690 --> 00:45:06,290 +فاضولة من رتبة نوحط عليها two initial conditions + +387 +00:45:06,290 --> 00:45:12,010 +والمعاملات كانت دوال متصلة على فترة والتكن هذه + +388 +00:45:12,010 --> 00:45:19,050 +الفترة Iقال there exists exactly يوجد حل وحيب لهذه + +389 +00:45:19,050 --> 00:45:25,850 +المعادلة و الحل هذا موجود على نفس الفترة الامين + +390 +00:45:25,850 --> 00:45:30,310 +اللي عنده I السؤال اللي عندنا هنا شبه قول قول + +391 +00:45:30,310 --> 00:45:35,480 +هاتلي أكبر فترةبحيث ان ال initial value problem + +392 +00:45:35,480 --> 00:45:39,980 +has a unique twice differentiable solution يعني + +393 +00:45:39,980 --> 00:45:45,800 +عندها حل قابل الاشتقاق مرتين عليها وياك تحاول توجد + +394 +00:45:45,800 --> 00:45:49,520 +هذا الحل يعني انا مش طالب الحل تبع المعادل انا + +395 +00:45:49,520 --> 00:45:54,900 +طالب الفترة بس اللي الحل عليها بيكون معله صحيح حل + +396 +00:45:54,900 --> 00:46:00,880 +واحد وقابل اشتقاق مرتين على هذه الفترة بقولك كويس + +397 +00:46:01,320 --> 00:46:05,180 +اذا انا بدي اجي اطبق النظرية بدي ادور على + +398 +00:46:05,180 --> 00:46:09,840 +المعاملات وين المعاملة اللي عندى cosine T و تلاتة + +399 +00:46:09,840 --> 00:46:14,460 +لانتهينا Zero ريحني تمام يبقى هذه constant + +400 +00:46:14,460 --> 00:46:18,080 +function ال constant function بتعتبريها متصلة على + +401 +00:46:18,080 --> 00:46:23,320 +اي فترة على اي فترة بدك ايها اذا انا لو جيت لل + +402 +00:46:23,320 --> 00:46:31,040 +cosine Tفي النقطة الـ cosine تبع الـ function أو + +403 +00:46:31,040 --> 00:46:35,700 +الـ cosine T ماهياش معرف عليها يعني لما رسمنا + +404 +00:46:35,700 --> 00:46:40,260 +cosine ويتس undefined هذه يا بنات اذا ماذا ذاكرين + +405 +00:46:40,260 --> 00:46:45,440 +رسمتها لـin absolute value لـT فكانت بالشكل هذا + +406 +00:46:45,440 --> 00:46:51,440 +هيكومن هنا نفس القصة وهي تجينا هكذا هذا اللي هو + +407 +00:46:51,440 --> 00:46:58,620 +واحد وهذا هنا ياش سالب واحد وهذا T وهذا Y هذا لين + +408 +00:46:58,620 --> 00:47:03,840 +اللي هو absolute value اللتي الرسمتين مع بعض وهذا + +409 +00:47:03,840 --> 00:47:07,860 +النقطة اللي هي من ال zero يبقى تلاتة لين absolute + +410 +00:47:07,860 --> 00:47:13,680 +value اللتي معرفة لكل real line مع هذا ال zero + +411 +00:47:13,680 --> 00:47:22,040 +يبقى هذهas continuous for all + +412 +00:47:25,430 --> 00:47:31,250 +مظبوط؟ إذا وين المنطقة المشتركة ما بين الدلتين + +413 +00:47:31,250 --> 00:47:35,230 +اللي بيكونوا التنتين عليهم continuous يبقى باجي + +414 +00:47:35,230 --> 00:47:44,990 +بقوله هنا the functions are continuous دوال متصلة + +415 +00:47:44,990 --> 00:47:52,490 +on الفترة من سالب infinity ل zero and zero و + +416 +00:47:52,490 --> 00:47:59,950 +infinityيبقى صار عندى كام فترة ممتاز جدا يعنى انا + +417 +00:47:59,950 --> 00:48:04,720 +لو جيت قولت هذا ال real line وهذا ال zeroيبقى + +418 +00:48:04,720 --> 00:48:10,880 +الدوال معرفة عن الفترة اليامين والفترة الشمال، ايش + +419 +00:48:10,880 --> 00:48:15,280 +بيقول هو قال هاتل ال longest interval، برجع لمين؟ + +420 +00:48:15,280 --> 00:48:19,300 +لل initial conditions، مين ال initial conditions؟ + +421 +00:48:19,300 --> 00:48:23,880 +قال لي Y عندي اتنين و Y prime عندي اتنين، اتنين + +422 +00:48:23,880 --> 00:48:26,600 +هادي موجودة في الفترة اللي عالمية و الفترة اللي ع + +423 +00:48:26,600 --> 00:48:30,450 +الشماليبقى اللي على الشمال هذي الله سهل عليها مش + +424 +00:48:30,450 --> 00:48:36,370 +لازمالي يبقى اتنين بتجيني وين هنا هاي واحد وهي هنا + +425 +00:48:36,370 --> 00:48:42,350 +اتنين اللي ال initial conditions محسبات عندها يعني + +426 +00:48:42,350 --> 00:48:48,690 +الحل بدي يكون صحيح وين عند هذه النقطة exist على + +427 +00:48:48,690 --> 00:48:53,270 +نفس الفترة اللتي تحتوي من اللي هو الاتنين اللي + +428 +00:48:53,270 --> 00:49:03,500 +عندنا فبجي بقوله اذاthe solution exists + +429 +00:49:03,500 --> 00:49:06,600 +on + +430 +00:49:06,600 --> 00:49:17,500 +the interval على الفترة من zero و infinity that + +431 +00:49:17,500 --> 00:49:26,660 +هذه الفترة contains الأولى اتنينيبقى بتحتوي على + +432 +00:49:26,660 --> 00:49:34,580 +الاتنين and the functions + +433 +00:49:34,580 --> 00:49:44,460 +الهي cosine ال T and تلاتة لين absolute value ل T + +434 +00:49:44,460 --> 00:49:51,240 +are continuous يبقى هذه الفترة اللي هو إيه عشان + +435 +00:49:51,240 --> 00:49:52,180 +بده إياها + +436 +00:49:55,110 --> 00:50:00,390 +اللي طبعا ما تحلش المعادلة او اصحى تحاول تحل + +437 +00:50:00,390 --> 00:50:05,310 +المعادلة يعني مش تروح تضيع وقتك بالبلاش لذلك لو + +438 +00:50:05,310 --> 00:50:10,170 +جاكي سؤال يا بنات في الامتحان بقرأ السؤال جيدا قبل + +439 +00:50:10,170 --> 00:50:15,050 +ما امسك الجلم و ابدأ حل و بحدد ما هو المطلوب من + +440 +00:50:15,050 --> 00:50:18,730 +السؤال اذا حددت ما هو المطلوب من السؤال بستجل وقت + +441 +00:50:18,730 --> 00:50:22,090 +كويس ما احددت بسيطة امسك الجلم و انا مش عارف وين + +442 +00:50:22,090 --> 00:50:30,430 +رايحطيب نمرى V من نفس السؤال بيقول + +443 +00:50:30,430 --> 00:50:39,730 +لي X ناقص اتنين YW prime + +444 +00:50:42,260 --> 00:50:54,200 +y prime زائد x ناقص اتنين تاني ال x تاني ال x كل + +445 +00:50:54,200 --> 00:51:01,020 +هدا في y بده يساوي zero و ال initial conditions y + +446 +00:51:01,020 --> 00:51:06,580 +عندى التلاتة بده يساوي واحد و y prime عندى التلاتة + +447 +00:51:06,580 --> 00:51:10,460 +بده يساوي قداش بده يساوي لاتنين + +448 +00:51:16,650 --> 00:51:22,570 +يبقى نفس السؤال قال لي هات لي أطول فترة بحيث تدلق + +449 +00:51:22,570 --> 00:51:26,170 +قابل اشتقاق بحيث الحل تبعد ال function يكون قابل + +450 +00:51:26,170 --> 00:51:30,690 +اشتقاق مرتين على نفس الفترة يعني أنا بدأ أطبق له + +451 +00:51:30,690 --> 00:51:34,870 +النظرية اللي قبلها قليل بقوله كويس هذا السؤال + +452 +00:51:34,870 --> 00:51:39,900 +بيختلف عن سابقهسابقه كان المعامل تبع y double + +453 +00:51:39,900 --> 00:51:45,660 +prime واحد صحيح روحنا باعتبار كأنه جاسمين وجاهزين + +454 +00:51:45,660 --> 00:51:50,300 +هذه لأ المعامل x ناقص اتنين اذا انا بدأ اروح اجسم + +455 +00:51:50,300 --> 00:51:55,380 +على مين على x ناقص اتنين اذا لو جسمت الطرفين على x + +456 +00:51:55,380 --> 00:52:01,000 +ناقص اتنين بصير y double prime زائد واحد على x + +457 +00:52:01,000 --> 00:52:06,800 +ناقص اتنين في ال y prime زائد تان ال x في y + +458 +00:52:09,790 --> 00:52:18,990 +أصبح ال P of X هي واحد على X ناقص اتنين as in ال + +459 +00:52:18,990 --> 00:52:23,530 +discontinuity بيحصل وين؟ عند اتنين يعني هذه + +460 +00:52:23,530 --> 00:52:29,870 +continuous على كل real line مع هذا الاتنين يبقى + +461 +00:52:29,870 --> 00:52:32,970 +هذه is continuous + +462 +00:52:34,510 --> 00:52:45,190 +for all x التي لا تساوي اتنين for all x التي لا + +463 +00:52:45,190 --> 00:52:48,950 +تساوي اتنين for all x التي لا تساوي اتنين for all + +464 +00:52:48,950 --> 00:52:57,390 +x التي لا تساوي اتنين for all x التي لا تساوي + +465 +00:52:57,390 --> 00:53:04,150 +اتنينباية على اتنين و تلاتة باية على اتنين و خمسة + +466 +00:53:04,150 --> 00:53:09,190 +باية على اتنين طبعا كله زائد او ناقص كله زائد او + +467 +00:53:09,190 --> 00:53:15,410 +ناقص اللي هو تلاتة باية على اتنين زائد او ناقص + +468 +00:53:15,410 --> 00:53:21,710 +كذلك خمسة باية على اتنين و الى ما شاء الله طب + +469 +00:53:21,710 --> 00:53:27,220 +تعالوا خليني على ال real line هك نشوف شغلنا كويسلو + +470 +00:53:27,220 --> 00:53:33,100 +جيت قلت هذا الريال لاي هي ال zero بعد ال zero + +471 +00:53:33,100 --> 00:53:38,400 +بجيني واحد بعد ال واحد بجيني مين اتنين بعد اتنين + +472 +00:53:38,400 --> 00:53:41,860 +بجيني مين بجيني تلاتة + +473 +00:53:44,300 --> 00:53:48,980 +و بعد تلاتة اربعة خمسة الى اخره مش هذا موضوعنا، + +474 +00:53:48,980 --> 00:53:53,420 +موضوعنا ان ال discontinuity هذا حصل عند اتنين، + +475 +00:53:53,420 --> 00:53:58,760 +يعني عند اتنين هذا في discontinuity لمن؟ للدالة + +476 +00:53:58,760 --> 00:54:03,220 +الأولىالدالة التانية ال discontinuity عند ال بايع + +477 +00:54:03,220 --> 00:54:07,920 +تاني البايع قداشة بنات تلاتة صحيحه اربعتاشر من مية + +478 +00:54:07,920 --> 00:54:12,220 +على اتنين يعني اكتر من واحد و نص بحاجة بسيطة يعني + +479 +00:54:12,220 --> 00:54:18,060 +في discontinuity هنا تقريبا يبقى هذه اللي هي ال by + +480 +00:54:18,060 --> 00:54:22,960 +على اتنين في ان اللي بدأ ليه تلاتة by على اتنين + +481 +00:54:23,250 --> 00:54:27,370 +يعني واحدة باية على اتنين لحوالي واحدة و نص، + +482 +00:54:27,370 --> 00:54:36,010 +مظبوط؟ واحدة و نص في تلاتة باربعة و نص، مش هيك؟ + +483 +00:54:36,010 --> 00:54:41,310 +يبقى تلاتة باية على اتنين بدها تجيكي هنا هذه هنا + +484 +00:54:41,310 --> 00:54:46,190 +بدها تجيكي اربعة و هنا بدها تجيكي ليه تلاتة باية + +485 +00:54:46,190 --> 00:54:51,450 +على مين؟ على الاتنين مرة تانية + +486 +00:54:55,670 --> 00:55:00,870 +يبقى هذه الثلاثة باعي على اتنين في discontinuity + +487 +00:55:00,870 --> 00:55:06,850 +كمانوية عندهاطب احنا جالي هات لل longest interval + +488 +00:55:06,850 --> 00:55:10,750 +بقولوا استنى شوية برجع لل initial condition ال + +489 +00:55:10,750 --> 00:55:14,790 +initial condition محسب وين؟ عندى التلاتة اذا + +490 +00:55:14,790 --> 00:55:20,710 +التلاتة موجود داخل الفترة المفتوحة من اتنين لتلاتة + +491 +00:55:20,710 --> 00:55:25,970 +pi على اتنين الفترة اللى عندنا هذه ها هاج هذه اللى + +492 +00:55:25,970 --> 00:55:29,750 +الفترة اللى تحتوي على ال initial conditionمسكت من + +493 +00:55:29,750 --> 00:55:31,990 +عند ال discontinuity اللي بعده إلى ال + +494 +00:55:31,990 --> 00:55:35,170 +discontinuity اللي بعده يبقى الفترة في ما بينهم + +495 +00:55:35,170 --> 00:55:40,510 +كلا الدالتين أو جميع الدوال على هذه الفترة هي دوال + +496 +00:55:40,510 --> 00:55:49,430 +متاصلة يبقى باجي بيقول له the longest interval + +497 +00:55:49,430 --> 00:55:55,690 +interval interval + +498 +00:55:59,330 --> 00:56:09,210 +that contains اللي هو تلاتة is من اتنين لغاية + +499 +00:56:09,210 --> 00:56:16,650 +تلاتة by على اتنين and the + +500 +00:56:16,650 --> 00:56:29,240 +functions are continuous on itجميع الدوال اللي هو + +501 +00:56:29,240 --> 00:56:37,180 +بالتالي ال solution عليها بيكون صحية and the + +502 +00:56:37,180 --> 00:56:40,880 +functions are continuous or infinite and the + +503 +00:56:40,880 --> 00:56:42,580 +solution + +504 +00:56:44,090 --> 00:56:50,490 +exist و الحل عليها بيكون مانو بيكون متحقق أو موجود + +505 +00:56:50,490 --> 00:56:55,230 +يبقى مثل هذا النوع من المسائل بس بده الفترة و + +506 +00:56:55,230 --> 00:56:59,450 +جابوها المدرسين لكوا في أعمال الفصل بيجيبوها كتير + +507 +00:56:59,450 --> 00:57:03,630 +هات للفترة اللي الحل عليها بيكون صحيح يكبر يكبر + +508 +00:57:03,630 --> 00:57:08,790 +أكتر من هيكد مابدناش من هذا النوع من المسائل + +509 +00:57:27,030 --> 00:57:32,570 +فضلي انا انا انا انا انا انا انا انا انا + +510 +00:57:37,700 --> 00:57:41,740 +أحنا حددنا الدالة الأولى وان ال discontinuity + +511 +00:57:41,740 --> 00:57:46,000 +تبعها يبقى باقي بكون تبقى continuous جينا على + +512 +00:57:46,000 --> 00:57:50,500 +الدالة التانية حددت ال discontinuity تبعها يبقى + +513 +00:57:50,500 --> 00:57:54,740 +بروح على ال initial condition جال لي why عندي + +514 +00:57:54,740 --> 00:58:01,030 +التلاتةيبقى الحل بدى يكون وين عندها T تساوي تلاتة + +515 +00:58:01,030 --> 00:58:05,010 +و عندها X يساوي تلاتة، باجي بدور على التلاتة + +516 +00:58:05,010 --> 00:58:08,890 +موجودة في أي من الفترات اللى بتبقى continuous + +517 +00:58:08,890 --> 00:58:13,950 +عليها، طبعا هنا كام فترة عندها يا بنات؟تنتين، + +518 +00:58:13,950 --> 00:58:17,870 +تلاتة، عشرة، مية، مليون، جد ما بدك، إلي أن يرسل + +519 +00:58:17,870 --> 00:58:21,330 +الله الأرض وامن عليها، بس أنا مابديش ياكل، بدي + +520 +00:58:21,330 --> 00:58:26,030 +الفترة التي تحتوي على الرقم تلاتة، على X يسوى + +521 +00:58:26,030 --> 00:58:31,070 +تلاتة، باجي بطلع، بلاقي تلاتة هذه اللي جالة ال + +522 +00:58:31,070 --> 00:58:34,070 +discontinuity عند اتنين والتانية ال discontinuity + +523 +00:58:34,070 --> 00:58:38,870 +عند تلاتة بقى على اتنين، مظبوط؟ يعني تها لو جيت + +524 +00:58:38,870 --> 00:58:44,950 +أرسمها لك راسم بقولك هيهذه الدالة الأولى كانت عند + +525 +00:58:44,950 --> 00:58:50,250 +اتنين عند اتنين مفتوحة بعدها continuous و قبلها + +526 +00:58:50,250 --> 00:58:55,870 +continuous على طول جينا للتانية عند ال by على + +527 +00:58:55,870 --> 00:59:00,910 +اتنين قبل اتنين ماليش علاقة فيها جينا بعد اتنين + +528 +00:59:00,910 --> 00:59:07,010 +لجينا تلاتة هي التلاتة اللي احنا بنحسب عندهاتمام؟ + +529 +00:59:07,010 --> 00:59:10,590 +جينا اللى بعد اللى هو تلاتة باية على اتنين يبقى + +530 +00:59:10,590 --> 00:59:14,610 +هذه تلاتة باية على اتنين في discontinuity عندها + +531 +00:59:14,610 --> 00:59:19,470 +يبقى بيصير بعدها و لسه خمسة باية على اتنين بدنا + +532 +00:59:19,470 --> 00:59:22,130 +نوقف عنده و سبعة باية على اتنين بدنا .. كله بدنا + +533 +00:59:22,130 --> 00:59:26,270 +نوقف عنده وهنا لما نيجي لباية على اتنين، باية على + +534 +00:59:26,270 --> 00:59:30,780 +اتنين اجت قبل اتنين، يبقى هذه اللي همينباية على + +535 +00:59:30,780 --> 00:59:35,660 +اتنين، إذا هذه تبقى continuous على الفترة اللي + +536 +00:59:35,660 --> 00:59:40,300 +عندنا هذه، تمام؟ إذا أين المنطقة المشتركة بين + +537 +00:59:40,300 --> 00:59:45,180 +الفترتين والتي تحتوي على الرقم تلاتة، بلاجيش إلا + +538 +00:59:45,180 --> 00:59:50,950 +الفترة اللي عندنا هذههذه المنطقة المشتركة ما بين + +539 +00:59:50,950 --> 00:59:54,410 +ال continuity للدالة الأولى و ال continuity للدالة + +540 +00:59:54,410 --> 00:59:57,630 +التانية يعني بد الفترة اللى two functions + +541 +00:59:57,630 --> 01:00:01,410 +continuous عليها و بتجتمل هذه الفترة على الرقم + +542 +01:00:01,410 --> 01:00:04,750 +تلاتة اللى حسبنا ال initial conditions عندهم ماشي + +543 +01:00:04,750 --> 01:00:13,610 +طيب بننتقل الآن إلى نظرية جديدة كذلك يبقى theorem + +544 +01:00:18,050 --> 01:00:23,150 +قعد الكتاب بيسميها اللي هو main بيسميها ال + +545 +01:00:23,150 --> 01:00:33,530 +principle of superposition ال principle of + +546 +01:00:33,530 --> 01:00:37,090 +superposition + +547 +01:00:37,090 --> 01:00:42,470 +قاعدة + +548 +01:00:42,470 --> 01:00:46,730 +التطابق بيقول + +549 +01:00:46,730 --> 01:00:55,920 +ال FY1 and Y2 are + +550 +01:00:55,920 --> 01:01:00,200 +two + +551 +01:01:00,200 --> 01:01:05,840 +solutions + +552 +01:01:05,840 --> 01:01:22,570 +of the differential equation L of Yبدي يساوي L of + +553 +01:01:22,570 --> 01:01:29,750 +Y بدي يساوي Y W prime زي P of T في ال Y prime زي Q + +554 +01:01:29,750 --> 01:01:35,510 +of T في ال Y بدي يساوي Zero واعتبريه لهذه المعادلة + +555 +01:01:35,510 --> 01:01:45,930 +رقم واحد then Y يساوي C واحد Y واحد زي C اتنين Y + +556 +01:01:45,930 --> 01:01:52,880 +اتنينis also + +557 +01:01:52,880 --> 01:01:59,180 +a solution for + +558 +01:01:59,180 --> 01:02:07,040 +any values + +559 +01:02:07,040 --> 01:02:12,420 +of the constants + +560 +01:02:14,010 --> 01:02:28,090 +والعنوان هي الواقع C1 وC2 اخد هذه الملاحظة اذا C1 + +561 +01:02:28,090 --> 01:02:34,490 +تساوي 0 او C2 تساوي 0 + +562 +01:02:38,810 --> 01:02:44,910 +C2Y2 or C1Y1 + +563 +01:02:44,910 --> 01:02:58,650 +is a solution is a solution for the same + +564 +01:02:58,650 --> 01:03:03,710 +differential equation one + +565 +01:03:35,270 --> 01:03:39,970 +بنشوف ليش سمنها قاعدة التطابق principle of + +566 +01:03:39,970 --> 01:03:45,650 +superpositionقل لو كان عندي y1 و y2 عبارة عن حلين + +567 +01:03:45,650 --> 01:03:51,190 +للمعادلة التفاضلية اللى قدامنا هذه ثم كونستانت في + +568 +01:03:51,190 --> 01:03:57,190 +الحل الأول زائد كونستانت في الحل الثاني is also is + +569 +01:03:57,190 --> 01:04:02,530 +a solution for any values of the constant c1 and + +570 +01:04:02,530 --> 01:04:08,430 +c2 يبقى احنا عندنا حلين من الحلين بدي أجيب كمان حل + +571 +01:04:09,820 --> 01:04:13,860 +يتطابق مع حل المعادلة التفاضلية يعني بدي يكون كذلك + +572 +01:04:13,860 --> 01:04:19,420 +هو حل المعادلة التفاضلية اللي عندنا هذه شوفوا يا + +573 +01:04:19,420 --> 01:04:24,520 +بنات بقول الملاحظة لو كان C1 يساوي 0 لو شيلنا C1 + +574 +01:04:24,520 --> 01:04:30,870 +وحطينا بدل C0 ايش بيظل؟بصير الشكل الحل Y تساوي + +575 +01:04:30,870 --> 01:04:37,230 +C2Y2 لإن انا هنا ماحطتش اي conditions على C1 وC2 + +576 +01:04:37,230 --> 01:04:42,170 +انه جالس لاني to real constant يبقى اي ثواب تلانق + +577 +01:04:42,170 --> 01:04:46,880 +صفر ولا غير الصفرطب افرض C2 كمان في Zero يصير Y + +578 +01:04:46,880 --> 01:04:51,280 +تساوي Zero هو عبارة عن حل مين للمعادلة التفضلي + +579 +01:04:51,280 --> 01:04:55,740 +Zero ومشتقت Zero ب Zero ومشتقت Zero ب Zero + +580 +01:04:55,740 --> 01:05:01,420 +ومجموعهم يسوى قداش يسوى Zero يبقى هنا لو كان أحد + +581 +01:05:01,420 --> 01:05:07,260 +السوابط أو كلاهما كمان Zeroيبقى اللي بظل بيكون هو + +582 +01:05:07,260 --> 01:05:12,720 +مين حل المعادلة فلو كان c1 ب zero بظل ان c2 y2 هو + +583 +01:05:12,720 --> 01:05:18,160 +حل المعادلة التفاضلية وكذلك لو كان c2 هو zero بظل + +584 +01:05:18,160 --> 01:05:23,840 +ان c1 y1 هو عبارة عن حل مين للمعادلة التفاضلية اذا + +585 +01:05:23,840 --> 01:05:28,660 +يا بنات انا لو جدرت اجيب حلين للمعادلة التفاضلية + +586 +01:05:28,660 --> 01:05:34,760 +بقدر اجيب حل ثالث للمعادلة التفاضلية باستخدام مين + +587 +01:05:35,080 --> 01:05:39,540 +الحلين ما هو الحل الثالث constant في الحل الأول و + +588 +01:05:39,540 --> 01:05:43,200 +constant في الحل الثاني و بجمع الاتنين بيعطيني حل + +589 +01:05:43,200 --> 01:05:47,620 +جديد للمعادلة التفاضلية طبعا واحدة هتسأل و تقول + +590 +01:05:47,620 --> 01:05:53,580 +تقدر تبرهن هذا الكلام؟ اقولها بنقدر و البرهن very + +591 +01:05:53,580 --> 01:05:57,260 +easy مش صعب يعني يبقى هذا ال proof + +592 +01:06:01,420 --> 01:06:05,960 +بقول ليش؟ لو كان Y1 هو حل المعادلة هذه، يبقى + +593 +01:06:05,960 --> 01:06:14,200 +هيحققها، صحيح ولا لأ؟ يبقى بادي بقول، الآن Y1 is a + +594 +01:06:14,200 --> 01:06:24,600 +solutionماذا سنجد من هذا الوضع ان ال L of Y1 يساوي + +595 +01:06:24,600 --> 01:06:34,120 +Y1 double prime زائد P of T في Y1 prime زائد Q of + +596 +01:06:34,120 --> 01:06:37,080 +T في Y1 يزيد + +597 +01:06:39,680 --> 01:06:49,860 +طيب الان Y2 is a solution بده يعطينا ان ال L of Y2 + +598 +01:06:49,860 --> 01:06:58,020 +بده يساوي Y2 double prime زاد P of T في ال Y2 + +599 +01:06:58,020 --> 01:07:05,260 +prime زاد ال Q of T في ال Y2 بده يساوي Zero كذلك + +600 +01:07:07,760 --> 01:07:13,500 +هذه المعقيدات حتى الآن جالي Y1 وY2 هم حللوا + +601 +01:07:13,500 --> 01:07:18,320 +المعادلة التفاضلية شو بدي اثبت؟ بدي اثبت ان هذا + +602 +01:07:18,320 --> 01:07:25,460 +ماله حل اخر للمعادلة التفاضلية بقوله اذا لو جدت + +603 +01:07:25,460 --> 01:07:33,760 +اثبت ان ال L وC1 Y1 زي C2 Y2 يساوي Zero بتم + +604 +01:07:33,760 --> 01:07:42,360 +المطلوبلو قلت اثبت ان c1y1 زاد c2y2 بده يستوي 0 + +605 +01:07:42,360 --> 01:07:46,920 +بصير هذا هو عبارة عن حل ميم للمعادلة التفاضلية + +606 +01:07:46,920 --> 01:07:52,380 +بقولها نرجع لل L of y مين اجا مكانها + +607 +01:07:57,520 --> 01:08:04,120 +هذا بيصير c1y1 زي c2y2 + +608 +01:08:04,120 --> 01:08:13,480 +كله double prime زي p of t في ال y prime اللي هو + +609 +01:08:13,480 --> 01:08:18,920 +c1y1 زي c2y2 + +610 +01:08:18,920 --> 01:08:30,650 +كله primeزائد لـ Q of T في C1Y1 زائد C2Y2 + +611 +01:08:32,770 --> 01:08:39,490 +لو طلع هذا المجموع يساوي zero إذا بصير هذا فعلا + +612 +01:08:39,490 --> 01:08:45,010 +عبارة عن حل مين للمعادلة التفاضلية اللي عندنا يبقى + +613 +01:08:45,010 --> 01:08:54,710 +صار عندنا المسألة كالتالي هذا ال LR C1Y1 زائد C2Y2 + +614 +01:08:54,710 --> 01:08:59,030 +يساوي هذه الدالة بدنا نشتقها كم مرة + +615 +01:09:06,100 --> 01:09:15,080 +زاد c2 في y2 double prime يبقى ده c1 في y1 double + +616 +01:09:15,080 --> 01:09:22,960 +prime زاد c2 في y2 double primeيبقى انتهينا من ال + +617 +01:09:22,960 --> 01:09:27,300 +term الأول بدنا نيجي لل term التاني برضه معناته + +618 +01:09:27,300 --> 01:09:33,580 +مشتقة Y1 و مشتقة Y2 و بدي أضربها في Pt أدخلها على + +619 +01:09:33,580 --> 01:09:44,600 +كل واحدة فيهم يبقى بصير عندنا زائد P of T في C1 في + +620 +01:09:44,600 --> 01:09:55,870 +ال Y1 prime زائد P of Tفي c2 في ال y2 prime يبقى + +621 +01:09:55,870 --> 01:10:01,610 +خلاصنا من ال term هذا بل هذا بنفس الطريقة يبقى + +622 +01:10:01,610 --> 01:10:15,310 +زائد اللي هو q of t في c1 y1 زائد ل q of t في c2 + +623 +01:10:15,310 --> 01:10:23,650 +y2يبقى هذا الكلام بتنسى واطلعلي في هذه و هذه او + +624 +01:10:23,650 --> 01:10:32,690 +هذه فيهم C1 عامل مشترك صح يبقى هاي C1 و هذا بضل + +625 +01:10:32,690 --> 01:10:42,750 +عندما يأتي ها Y1 W prime زائد P of T في Y1 A prime + +626 +01:10:43,230 --> 01:10:51,790 +زائد ال Q of T في ال Y1 اللي بظل Term اللي عندنا + +627 +01:10:51,790 --> 01:10:56,530 +هذا و Term اللي عندنا هذا و Term اللي عندنا هذا + +628 +01:10:56,530 --> 01:11:04,950 +بدأ أخد C2 عامل مشترك بظل Y2 W prime زائد P of T + +629 +01:11:04,950 --> 01:11:14,140 +في ال Y2 prime زائد Q of T في ال Y2الـ Y2 هذا + +630 +01:11:14,140 --> 01:11:21,240 +الكلام بده يساوي C1V طلعيلي هنا هذا بقداشي بناتي + +631 +01:11:21,240 --> 01:11:29,120 +هو الجوس الأول صح ولا لأ يبقى هذا بده يساوي C1V0 + +632 +01:11:29,120 --> 01:11:39,130 +زي C2 اللي هو التانييبقى هذا C2 في 0 هو يسوي 0 + +633 +01:11:39,130 --> 01:11:45,250 +زائد 0 يبقى يسوي قداش Zero يبقى الآن شو تفسيره + +634 +01:11:45,250 --> 01:11:50,070 +لهذا الكلام احنا ابتدأنا من بال function هذه طلع + +635 +01:11:50,070 --> 01:11:54,150 +تأثير ال L عليها يبدو يسوي Zero معناته هذا عبارة + +636 +01:11:54,150 --> 01:12:00,090 +عن mainعبارة عن حل المعادلة التفاضلية يبقى this + +637 +01:12:00,090 --> 01:12:11,390 +means that هذا يعني ان y سوى c1y1 زي c2y2 is a + +638 +01:12:11,390 --> 01:12:22,150 +solution of the differential equation + +639 +01:12:22,150 --> 01:12:23,470 +one + +640 +01:12:45,600 --> 01:12:49,080 +طيب نعطي تعريف جديد definition + +641 +01:13:01,260 --> 01:13:09,020 +تعريف يقول ما يأتي if y1 + +642 +01:13:09,020 --> 01:13:17,020 +and y2 are solutions + +643 +01:13:22,030 --> 01:13:29,170 +of the homogeneous differential + +644 +01:13:29,170 --> 01:13:34,290 +equation + +645 +01:13:34,290 --> 01:13:42,670 +y double prime زائد P of T في ال Y prime زائد Q of + +646 +01:13:42,670 --> 01:13:53,140 +T في ال Yبدر ساوي زيرو then the function ادالة y + +647 +01:13:53,140 --> 01:14:03,860 +one y two prime ماقص y one prime y two is called + +648 +01:14:03,860 --> 01:14:09,560 +is + +649 +01:14:09,560 --> 01:14:13,480 +called the run skin + +650 +01:14:31,640 --> 01:14:35,280 +و بالروح نكتب + +651 +01:15:01,370 --> 01:15:14,390 +هنا سنكتب الشكل التالي و هو W of Y1 وY2 وY2 وY2 + +652 +01:15:14,390 --> 01:15:17,790 +وY2 + +653 +01:15:17,790 --> 01:15:21,950 +وY2 + +654 +01:15:21,950 --> 01:15:28,610 +وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 + +655 +01:15:28,610 --> 01:15:28,670 +وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 + +656 +01:15:28,670 --> 01:15:28,710 +وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 + +657 +01:15:28,710 --> 01:15:28,750 +وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 + +658 +01:15:28,750 --> 01:15:28,750 +وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 + +659 +01:15:28,750 --> 01:15:55,390 +وY2 وY2 وY2 وYas a determinant كمحدد ها + +660 +01:15:55,390 --> 01:15:59,190 +دي البركة هنا واللهبقول اللي عندي y واحد و y اتنين + +661 +01:15:59,190 --> 01:16:01,970 +are two solutions لل homogenous differential + +662 +01:16:01,970 --> 01:16:06,950 +equation اللي عندنا إذا فينا function جديدة الحل + +663 +01:16:06,950 --> 01:16:12,210 +الأول في مشتقة الحل الثاني ناقص مشتقة الحل الأول + +664 +01:16:12,210 --> 01:16:16,930 +في الحل الثاني بيعطينا function جديدة بسميها ال + +665 +01:16:16,930 --> 01:16:21,590 +runescan ال w silent يا بنات منطقش ال w يبقى + +666 +01:16:21,590 --> 01:16:26,310 +بسميها ال runescan of ال y one و ال y two and we + +667 +01:16:26,310 --> 01:16:32,650 +writeبنروح نكتب القيمة العددية لمين لرونس كندا + +668 +01:16:32,650 --> 01:16:38,970 +حدّله الرمز W as a function of T أو W ل Y1 وY2 as + +669 +01:16:38,970 --> 01:16:46,150 +a function of T وهو عبارة عن المحدد الثانائي Y1 صف + +670 +01:16:46,150 --> 01:16:53,380 +الأول تبع Y1 وY2 صف التاني مشتقة Y1 ومشتقة Y2وكنا + +671 +01:16:53,380 --> 01:16:57,140 +زمان بنفك المحددات نقول حاصل ضرب عناصر القطر + +672 +01:16:57,140 --> 01:17:03,800 +الرئيسي ناقص حاصل ضرب عناصر القطر الثانوي يبقى لو + +673 +01:17:03,800 --> 01:17:11,360 +جيت حاصل ضرب عناصر القطر الرئيسي يبقى Y1Y2' + +674 +01:17:12,000 --> 01:17:21,180 +ناقص حاصل ضرب عناصر القطر الثانوي يبقى Y1'Y2 بهذا + +675 +01:17:21,180 --> 01:17:26,200 +الشكليبقى من ال alpha ساعدا إذا بدى أحسب ال owners + +676 +01:17:26,200 --> 01:17:30,580 +كله ال two solutions بحط الحل الأول حل التاني + +677 +01:17:30,580 --> 01:17:35,080 +مشتقة الأول مشتقة التاني باخد المحدد بفك المحدد + +678 +01:17:35,080 --> 01:17:38,640 +القيمة اللى بتطلع بتكون هي ال owners كله ال main + +679 +01:17:38,640 --> 01:17:43,040 +ال two solutions للمعادلة التفاضلية اللى عندنا + +680 +01:17:43,040 --> 01:17:47,100 +نعطيكي مثال توضيح بسيط يبقى example + +681 +01:17:55,860 --> 01:18:07,160 +Find the run skin for + +682 +01:18:07,160 --> 01:18:15,780 +the functions T وT E of T + +683 +01:18:18,570 --> 01:18:23,150 +عرف جداش ومستقل لمين الانتقالات الموجودة في + +684 +01:18:23,150 --> 01:18:24,610 +الانتقالات الموجودة في الانتقالات الموجودة في + +685 +01:18:24,610 --> 01:18:28,770 +الانتقالات + +686 +01:18:28,770 --> 01:18:31,450 +الموجودة في الانتقالات الموجودة في الانتقالات + +687 +01:18:31,450 --> 01:18:33,610 +الموجودة في الانتقالات الموجودة في الانتقالات + +688 +01:18:33,610 --> 01:18:36,090 +الموجودة في الانتقالات الموجودة في الانتقالات + +689 +01:18:36,090 --> 01:18:36,110 +الموجودة في الانتقالات الموجودة في الانتقالات + +690 +01:18:36,110 --> 01:18:36,110 +الموجودة في الانتقالات الموجودة في الانتقالات + +691 +01:18:36,110 --> 01:18:36,110 +الموجودة في الانتقالات الموجودة في الانتقالات + +692 +01:18:36,110 --> 01:18:36,170 +الموجودة في الانتقالات الموجودة في الانتقالات + +693 +01:18:36,170 --> 01:18:41,710 +الموجودة في الانتقالات الموجودة في الانت + +694 +01:18:42,420 --> 01:18:49,160 +بواحد هذه مشتقة حاصن ضرب دالتين يبقى الأولى في + +695 +01:18:49,160 --> 01:18:54,880 +مشتقة الدالة الثانية زائد دالة ثانية في مشتقة + +696 +01:18:54,880 --> 01:19:01,800 +الأولى يبقى T EOS T بالشكل اللى عندناالرح نحسب هذا + +697 +01:19:01,800 --> 01:19:08,460 +المحدد يبجى بدنفكه حاصل ضرب عناصر قطر رئيسي ماقص + +698 +01:19:08,460 --> 01:19:12,660 +حاصل ضرب عناصر قطر الثانوي حاصل ضرب عناصر قطر + +699 +01:19:12,660 --> 01:19:19,820 +الرئيسي يبجى T في E of T زائد T تربية في E of T + +700 +01:19:20,440 --> 01:19:26,760 +ضربنا الـ T في كل من الترميل الاتنين هدول ناقص + +701 +01:19:26,760 --> 01:19:33,900 +حاصل ضرب عناصر القطر الثانوي ناقص T في E أُس T أظن + +702 +01:19:33,900 --> 01:19:40,600 +هذا وهذا مع السلامة يبقى النتيجة T تربيع في E أُس + +703 +01:19:40,600 --> 01:19:46,920 +T هي ال function اللي احنا قلنا عليها اللي خارجي + +704 +01:19:46,920 --> 01:19:51,490 +طرح لمينيبقى اتنين لتو functions هدول يبقى هذا + +705 +01:19:51,490 --> 01:19:57,330 +رونسكين لمين لتو functions وهكذا اي دالتين حطيهم + +706 +01:19:57,330 --> 01:20:02,310 +حط مستقبتهم هات المحدد اثناء لهم بيعطيكي قيمة + +707 +01:20:02,310 --> 01:20:08,770 +رونسكين لهم كمان نظرية اخرى في محاضرة اليوم يبقى + +708 +01:20:08,770 --> 01:20:14,350 +theorem we + +709 +01:20:14,350 --> 01:20:15,410 +suppose that + +710 +01:20:23,070 --> 01:20:34,130 +الـ Y1 و Y2 هما اتجارات + +711 +01:20:34,130 --> 01:20:42,590 +دفعية + +712 +01:20:45,220 --> 01:20:57,420 +of the differential equation L of Y تساوي Y double + +713 +01:20:57,420 --> 01:21:07,020 +prime زائد P of T في ال Y prime زائد ل Q of T في + +714 +01:21:07,020 --> 01:21:14,420 +ال Y بده يساوي Zero سميلي هذه المعادلة رقم واحدand + +715 +01:21:14,420 --> 01:21:21,280 +that الورنسكين + +716 +01:21:21,280 --> 01:21:31,420 +عند ال T نوت بده يساوي Y1 عند ال T نوت في Y2 prime + +717 +01:21:31,930 --> 01:21:39,530 +عند الـ T node ناقص Y1 prime عند ال T node في Y2 + +718 +01:21:39,530 --> 01:21:49,990 +عند ال T node لا يسوى Zero with مع ال initial + +719 +01:21:49,990 --> 01:21:59,150 +conditions او with اللي + +720 +01:21:59,150 --> 01:22:09,380 +هولا يساوي zero و ال Y عند ال T node يساوي Y node + +721 +01:22:09,380 --> 01:22:17,840 +و Y + +722 +01:22:17,840 --> 01:22:27,140 +prime عند ال T node يساوي Y node prime او Y عند ال + +723 +01:22:27,140 --> 01:22:34,670 +T nodeو I عند ال T نوت و I prime عند ال T نوت أبو + +724 +01:22:34,670 --> 01:22:40,990 +دي ساوي و I prime دوري لكن أبو دي ساوي و I prime + +725 +01:22:40,990 --> 01:22:49,950 +نوت دوري و هاد يسميها لإتنين هاد المعادلة ساميها + +726 +01:22:49,950 --> 01:22:53,290 +معادلة اتنين + +727 +01:22:56,870 --> 01:23:08,750 +ثم هناك اختيار ثم هناك اختيار من + +728 +01:23:08,750 --> 01:23:19,570 +المصادر C1 + +729 +01:23:19,570 --> 01:23:22,670 +وC2 + +730 +01:23:22,670 --> 01:23:24,110 +لذلك + +731 +01:23:27,920 --> 01:23:37,940 +بحيث ان y تساوي c واحد y واحد زائد c اتنين y اتنين + +732 +01:23:37,940 --> 01:23:44,820 +satisfied satisfied + +733 +01:23:44,820 --> 01:23:47,880 +the + +734 +01:23:47,880 --> 01:23:53,880 +differential equation + +735 +01:23:53,880 --> 01:23:55,840 +when + +736 +01:23:57,520 --> 01:24:09,520 +and the given initial conditions + +737 +01:24:09,520 --> 01:24:12,740 +اتنى + +738 +01:27:05,040 --> 01:27:10,440 +نظرية بتقول ما ياتي افترض ان Y1 و Y2 عبارة عن حليل + +739 +01:27:10,440 --> 01:27:15,780 +المعادلة التفاضلية اللى عندنا هذه and that و ال + +740 +01:27:15,780 --> 01:27:20,710 +warrants كان عندهم كان لا يساوي zeroوطني two + +741 +01:27:20,710 --> 01:27:26,510 +initial conditions كذلك طبعا الwoners can win عند + +742 +01:27:26,510 --> 01:27:30,910 +نقطة محددة عند T node مش حيالها عند نقطة واحدة + +743 +01:27:30,910 --> 01:27:35,190 +الwoners can هذا لا يساوي zero قال لي إن حدث ذلك + +744 +01:27:35,190 --> 01:27:43,710 +يبقى هلاقي two constants C1 وC2 بحيث أن هذا يكون + +745 +01:27:43,710 --> 01:27:49,950 +حل للمعادلة التفاضليةو كذلك and the given initial + +746 +01:27:49,950 --> 01:27:54,650 +conditions و كذلك أن يحل المعادلة التفاضلية بهذه + +747 +01:27:54,650 --> 01:28:00,150 +الشروط المتاع أو اختصارا يحقق ال initial value + +748 +01:28:00,150 --> 01:28:06,410 +problem المتاع اللي عندنا مرة تانية لو كان Y1 و Y2 + +749 +01:28:06,410 --> 01:28:14,500 +حلل المعادلة التفاضليةبدى اضمن ان هدول بيخلوا لي + +750 +01:28:14,500 --> 01:28:20,100 +وجود c1 و c2 بحتي يكون هذا حل شو اللى بده يضمنلي؟ + +751 +01:28:20,100 --> 01:28:25,780 +بده يضمنلي ان الoneskin هذا لا يساوي zero لكن لو + +752 +01:28:25,780 --> 01:28:31,120 +طلع الoneskin يساوي zero بضمنش وجود حلينيبقى هنا + +753 +01:28:31,120 --> 01:28:35,780 +بضمن وجود حالين إذا كان الغنوز كان عنده نقطة ماله + +754 +01:28:35,780 --> 01:28:39,980 +لا يساوي منها نقطة هي النقطة تبع ال condition + +755 +01:28:39,980 --> 01:28:45,920 +الاتنين هدول إن حدث ذلك يبقى بضمن وجود هذا الحل و + +756 +01:28:45,920 --> 01:28:51,420 +بضمن وجود حل ال initial value problem واضح كلامي + +757 +01:28:51,920 --> 01:28:55,380 +طيب الكلام اللي بنقوله هذا بنروح نحطه على أرض + +758 +01:28:55,380 --> 01:29:00,300 +الواقع عمليا بيقول السؤال بنقطتين قال يهاتل + +759 +01:29:00,300 --> 01:29:04,680 +الوانوزكن تبع الحلين تبع المعادلة هذه طب نفترض + +760 +01:29:04,680 --> 01:29:10,180 +جيبنا and ومن ثم أكتب لل general solution يبقى أنا + +761 +01:29:10,180 --> 01:29:14,840 +بدروح أجيب الوانوزكن و أشوف هل فعلا يساوي zero + +762 +01:29:14,840 --> 01:29:20,700 +والله لا يساوي0 اتنين جالي هاتلي كمان حل ال + +763 +01:29:20,700 --> 01:29:26,140 +initial value problem ب two conditions اللي عندنا + +764 +01:29:26,140 --> 01:29:30,460 +هنا بالضبط زي النظرية بقوله بسيطة اذا انا بدي ارجع + +765 +01:29:30,460 --> 01:29:34,240 +للحل زي ما كنا بنحل وين في ال section اللي فات + +766 +01:29:34,240 --> 01:29:38,700 +بطلع المعادلة معادلة من الرتبة الثانية بمعاملات + +767 +01:29:38,700 --> 01:29:49,000 +ثابتة يبقى بداجي اقوله lety تساوي e أس RT ب إيه + +768 +01:29:49,000 --> 01:29:58,300 +solution of المعادلة التفاضية y w prime زائد خمسة + +769 +01:29:58,300 --> 01:30:04,060 +y prime زائد ستة y يساوي zero سميلي هذه المعادلة + +770 +01:30:04,060 --> 01:30:09,020 +ليهما رقم واحد يبقى then + +771 +01:30:16,580 --> 01:30:26,880 +R تربيع زائد خمسة R زائد ستة يساوي زيرو هذه + +772 +01:30:26,880 --> 01:30:33,840 +المعادلة بقدر احللها كتالي جسين بده يساوي زيرو هذه + +773 +01:30:33,840 --> 01:30:41,460 +R وهذه Rوهذه اتنين في تلاتة وهذه زائد وهذه زايد + +774 +01:30:41,460 --> 01:30:52,540 +بناء عليها R1 هيسوي سالب اتنين وR2 سالب تلاتة اذا + +775 +01:30:52,540 --> 01:30:58,380 +صار هذا general solution + +776 +01:31:05,170 --> 01:31:13,010 +C1E-2T C2E-3T + +777 +01:31:15,400 --> 01:31:21,660 +يبقى هذا الحل يا بناتي الهواي واحد وهذا الحل ماين + +778 +01:31:21,660 --> 01:31:28,220 +الهواي اتنين، مظبوط ولا لا؟ يعني اصلا عندي Y واحد + +779 +01:31:28,220 --> 01:31:36,270 +E أس ناقص اتنين T وY اتنين E أس ناقص تلاتة Tطب + +780 +01:31:36,270 --> 01:31:40,950 +نرجع و نكتب له ال general solution كتبنا ال + +781 +01:31:40,950 --> 01:31:45,110 +general solution سبقنا احنا الاصل نجيب له ال + +782 +01:31:45,110 --> 01:31:48,030 +general solution قبل و بعد نكتب بعد هيك نكتب له ال + +783 +01:31:48,030 --> 01:31:51,810 +general solution مش مشكلة اذا بتروح اجيب له ال + +784 +01:31:51,810 --> 01:31:57,230 +general solution نسكم تبع الحل الأول E أص ناقص + +785 +01:31:57,230 --> 01:32:04,720 +اتنين T و E أص ناقص تلاتة T بجهة المحددبحط الحل + +786 +01:32:04,720 --> 01:32:13,800 +الأول وهذا الحل الثاني اشتغل ناقص اتنين اي اس ناقص + +787 +01:32:13,800 --> 01:32:19,780 +اتنين تي و هنا ناقص تلاتة اي اس ناقص تلاتة تي و + +788 +01:32:19,780 --> 01:32:20,980 +يساوي + +789 +01:32:23,370 --> 01:32:26,910 +يبقى ال wellness can as a function of T يساوي + +790 +01:32:26,910 --> 01:32:34,050 +بالدحال حاصل باربع ناصر القطر الرئيسي لناقص تلاتة + +791 +01:32:34,050 --> 01:32:42,030 +E أس ناقص خمسة T ناقص مع ناقص بصير الزائد اتنين E + +792 +01:32:42,030 --> 01:32:49,350 +أس ناقص خمسة T يبقى الجواب يبقى القداش ناقص E أس + +793 +01:32:49,350 --> 01:32:55,900 +ناقص خمسة Tيبقى زي ما انتوا شايفين الورسكين ماله + +794 +01:32:55,900 --> 01:33:01,920 +لا يساوي zero مدام لا يساوي zero إذا ال general + +795 +01:33:01,920 --> 01:33:08,440 +solution اللي بده ي exist وهذا هو شكله يعني بعد ما + +796 +01:33:08,440 --> 01:33:13,050 +أجيب له الورسكين بقوله إذاهذا هو ال general + +797 +01:33:13,050 --> 01:33:25,050 +solution C1E-2T C2E-3T لحل المطلوب طيب خلصنا + +798 +01:33:25,050 --> 01:33:28,610 +المطلوب الأول كتبنا له general solution و جيبناه + +799 +01:33:28,610 --> 01:33:33,850 +ورا اسكين جالي و من ثم حل ال initial value problem + +800 +01:33:33,850 --> 01:33:38,390 +اللي عندنا هذه يبقى بدنا نيجي لل initial value + +801 +01:33:38,390 --> 01:33:43,130 +problemالـ initial value problem ماعطيني شكل ال y + +802 +01:33:43,130 --> 01:33:48,510 +عند ال zero شكل ال y prime y موجودة إذا بالزمن مين + +803 +01:33:48,510 --> 01:33:58,990 +إذا مرة تانية y تساوي c1 في e أس ناقص اتنين t c2 + +804 +01:33:58,990 --> 01:34:05,850 +في e أس ناقص تلاتة t الآن ال y عند ال zero يسوى + +805 +01:34:05,850 --> 01:34:13,450 +zero أظنY عند Zero بده يساوي Zero implies هذا Zero + +806 +01:34:13,450 --> 01:34:21,570 +بده يساوي EO Zero بواحد يبقى C1 EO Zero بواحد يبقى + +807 +01:34:21,570 --> 01:34:26,770 +زائد C2بدي اشتقها دي يا بناتي يبقى ال y prime + +808 +01:34:26,770 --> 01:34:33,810 +يساوي ناقص اتنين c واحد e اص ناقص اتنين ناقص تلاتة + +809 +01:34:33,810 --> 01:34:40,170 +c اتنين e اص ناقص تلاتة t ال initial condition + +810 +01:34:40,170 --> 01:34:45,090 +التاني اللي هو y prime عند zero بدي يساوي واحدY' + +811 +01:34:45,810 --> 01:34:52,330 +عند الـ zero بده يساوي واحد implies Y' بواحد يساوي + +812 +01:34:52,330 --> 01:34:57,210 +هشيل هذه و احط مكانها zero بصير هذا بواحد بناقص + +813 +01:34:57,210 --> 01:35:05,010 +اتنين C1 ناقص تلاتة C2شو رايكوا بدأجي المعادلة + +814 +01:35:05,010 --> 01:35:10,410 +الأولى واضغبها في اتنين يبقى zero بساوي اتنين C + +815 +01:35:10,410 --> 01:35:15,370 +واحد زائد اتنين C اتنين المعادلة الثانية بدي + +816 +01:35:15,370 --> 01:35:21,360 +انزلها زي ما هي ناقص اتنين C واحدماقص تلاتة C + +817 +01:35:21,360 --> 01:35:26,200 +اتنين و نجمع هذول بروحوا مع السلامة الواحد زي ال + +818 +01:35:26,200 --> 01:35:32,300 +zero اللي هو واحد يساوي الناقص C اتنين يبقى C + +819 +01:35:32,300 --> 01:35:38,960 +اتنين يساوي قداش ناقص واحد إذا لو كان C اتنين ناقص + +820 +01:35:38,960 --> 01:35:45,660 +واحد C واحد بده يساوي واحد و C واحد بده يساوي واحد + +821 +01:35:45,660 --> 01:35:48,520 +يبقى أصبح the solution + +822 +01:35:53,830 --> 01:36:04,940 +والقضايا الاصلاحية هي واي تساويوين الحل اللى حصلنا + +823 +01:36:04,940 --> 01:36:10,400 +عليه هى فوق هشيل c واحد و احط مكانه واحد يبقى + +824 +01:36:10,400 --> 01:36:18,140 +بيصير E أس ناقص اتنين T ناقص E أس ناقص تلاتة T + +825 +01:36:18,140 --> 01:36:22,640 +يبقى هى الشكل اللى ال solution لمين لل initial + +826 +01:36:22,640 --> 01:36:29,680 +value problem لحد هنا stopيعطيكوا العافية لسه + +827 +01:36:29,680 --> 01:36:34,940 +لازلنا في نفس ال section ولما ننتهي بعد للمرة + +828 +01:36:34,940 --> 01:36:36,960 +القادمة ان شاء الله + diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/p2HJ4Qe0scU.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/p2HJ4Qe0scU.srt new file mode 100644 index 0000000000000000000000000000000000000000..afb3bc13f8f632ec13a98a24583670988fc894f5 --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/p2HJ4Qe0scU.srt @@ -0,0 +1,2715 @@ +1 +00:00:00,000 --> 00:00:02,540 +موسيقى + +2 +00:00:10,750 --> 00:00:15,630 +بسم الله الرحمن الرحيم، للمرة اللي فاتت أخذنا + +3 +00:00:15,630 --> 00:00:20,670 +section 6.3 اللي كان بيتحدث عن الـ step function أو + +4 +00:00:20,670 --> 00:00:24,970 +الـ unit step function، اليوم إن شاء الله هنستخدم الـ + +5 +00:00:24,970 --> 00:00:29,710 +unit step function في حل المعادلات التفاضلية + +6 +00:00:30,140 --> 00:00:32,940 +العنوان اللي هأتكلم فيه هو differential equations with + +7 +00:00:32,940 --> 00:00:37,000 +discontinuous functions، يبقى إحنا بدنا نحل + +8 +00:00:37,000 --> 00:00:41,120 +المعادلة التفاضلية اللي بتبقى non-homogeneous + +9 +00:00:41,120 --> 00:00:44,860 +differential equation، بعدها الطرف اليمين من هذه + +10 +00:00:44,860 --> 00:00:49,740 +المعادلة يكون discontinuous function تمام أو + +11 +00:00:49,740 --> 00:00:55,580 +إن شَرَطُهم نقول piecewise continuous function، يقول + +12 +00:00:55,580 --> 00:00:59,160 +حل الـ initial value problem على الشكل + +13 +00:00:59,160 --> 00:01:04,920 +التالي: y' زائد y يساوي f of t، y عند 0 يساوي 0، و y + +14 +00:01:04,920 --> 00:01:12,020 +عند 0 يساوي 1، شكل f of t هي عبارة عن دالة مكونة من + +15 +00:01:12,020 --> 00:01:16,240 +جزئين، تساوي 1 عندما t محصورة بين 0 و π/2 + +16 +00:01:16,240 --> 00:01:22,880 +وتساوي 0 عندما t أكبر من أو يساوي π/2 وأقل + +17 +00:01:22,880 --> 00:01:27,860 +من infinity، كان ممكن أكتب هذه بس إن t أكبر من أو + +18 +00:01:27,860 --> 00:01:33,020 +يساوي π/2 وأسكت، فينصرت بهذه الصيانة والله + +19 +00:01:33,020 --> 00:01:37,680 +قلت t أكبر من أو يساوي π/2، π/2 are the + +20 +00:01:37,680 --> 00:01:41,760 +same يعني ما حددتِش قيود لـ t بعد ذلك، كل القيادة + +21 +00:01:41,760 --> 00:01:45,130 +اللي حطيتها إنّها أكبر من أو تساوي π/2، إيش؟ + +22 +00:01:45,130 --> 00:01:49,550 +ما بدأت آخذ أكبر منه لغاية infinity تمام؟ بقول كويس + +23 +00:01:49,550 --> 00:01:52,430 +طبعًا اللي ما بدأت آخذ لأ، بلاس الـ transform لأ، ده ده + +24 +00:01:52,430 --> 00:01:56,270 +اللي ما بدأت آخذ لأ بلاس للـ f of t، f of t عبارة عن + +25 +00:01:56,270 --> 00:01:59,090 +جزئين، معناه بدي أروح أكاملها كامل، لا أنا ما بديش أكامل + +26 +00:01:59,090 --> 00:02:03,470 +أنا بدي أستخدم الجدول اللي بين أيدينا أو أستخدم + +27 +00:02:03,470 --> 00:02:09,810 +نظرية المرة الماضية، بدي أقول كويس، إذا بدي أعيد + +28 +00:02:09,810 --> 00:02:15,910 +صياغة هذه الـ function بشكل جديد، بقول كويس، السؤال + +29 +00:02:15,910 --> 00:02:21,230 +هو أليست هذه يا بنات هي المثال الأول في المحاضرة + +30 +00:02:21,230 --> 00:02:27,930 +الماضية؟ طلعوا فيه، شوفوا المحاضرة + +31 +00:02:27,930 --> 00:02:31,590 +الماضية، أول مثال بعد ما عرفنا الـ unit step + +32 +00:02:31,590 --> 00:02:38,370 +function ورسمنا الرسمتين، السؤال اللي بعده؟ أو حتى + +33 +00:02:38,370 --> 00:02:44,130 +مش هالـ لأ، لأ، أول سؤال، رسمة أول سؤال كانش واحد + +34 +00:02:44,130 --> 00:02:50,050 +ناقص U c of t، مظبوط؟ الـ c أجبها كإنّها بس π/ + +35 +00:02:50,050 --> 00:02:53,910 +اثنين، يبقى هو نفس السؤال، إذا هذه من المرة + +36 +00:02:53,910 --> 00:03:01,330 +الماضية، الـ f of t هي عبارة عن 1 ناقص U π/ + +37 +00:03:01,330 --> 00:03:06,020 +اثنين as a function of t، المعادلة الماضية المثالي + +38 +00:03:06,020 --> 00:03:10,680 +الأول صحيح ولا لأ؟ مش كانت على الشكل هذا بس بدل π + +39 +00:03:10,680 --> 00:03:14,360 +على اثنين كانت c، إذا بدي أعتبر c π/2، و + +40 +00:03:14,360 --> 00:03:18,120 +أشتغل الشغل اللي عندنا هذا، يبقى بناء عليه أصبحت + +41 +00:03:18,120 --> 00:03:23,540 +المعادلة تفاضلية: y'' زائد y يساوي 1 + +42 +00:03:23,540 --> 00:03:30,840 +ناقص U π/2 as a function of t، الآن بناخد + +43 +00:03:30,840 --> 00:03:37,100 +لابلاس لمين؟ للطرفين، يبقى لابلاس transform للـ y + +44 +00:03:37,100 --> 00:03:42,920 +double prime زائد لابلاس transform للـ y، لأن لابلاس + +45 +00:03:42,920 --> 00:03:50,100 +linear بده يساوي لابلاس للواحد الصحيح ناقص لابلاس لـ + +46 +00:03:50,100 --> 00:03:57,880 +u π/2 as a function of t، هذه أخذنا لها نظرية + +47 +00:03:57,880 --> 00:04:04,300 +كانت بتقول لي هذه عبارة عن s² capital Y of s + +48 +00:04:04,300 --> 00:04:12,020 +ناقص s في y and zero ناقص y' and zero، مش هي + +49 +00:04:12,020 --> 00:04:16,320 +كان نفس النظرية، وصلنا للا plus للـ y اللي هو + +50 +00:04:16,320 --> 00:04:23,710 +capital Y of s، على اليمين هذه Laplace، إذا مذاكرينها + +51 +00:04:23,710 --> 00:04:27,510 +حسبناها قبل، مش مذاكرينها، بروح على الجدول مباشرة + +52 +00:04:27,510 --> 00:04:33,550 +يبقى Laplace للواحد بقداش؟ بـ 1/s، Laplace لـ + +53 +00:04:33,550 --> 00:04:40,790 +U π/2 as a function of t لـ e أس ناقص π + +54 +00:04:40,790 --> 00:04:48,280 +على اثنين s على s، مظبوط يا بنات؟ برضه حسبناها المرة + +55 +00:04:48,280 --> 00:04:52,400 +اللي فاتت، يبقى لـ c بدل π/2 كانت c، يبقى + +56 +00:04:52,400 --> 00:04:56,760 +شيلنا c وحطينا إن كان π/2، يبقى أخذتِ لابلاس + +57 +00:04:56,760 --> 00:05:01,720 +transform للطرفين، ما ضلّش عليه إلا أجمع وأشوف + +58 +00:05:01,720 --> 00:05:05,630 +إيش اللي بيصير؟ بالطبع كابتن الـ y of s هي واحدة وهي + +59 +00:05:05,630 --> 00:05:10,950 +التانية ما فيش غيرهم، يبقى s² + 1 كله في + +60 +00:05:10,950 --> 00:05:16,330 +كابتن الـ y of s، الـ y عندي 0 كله يبقى الداشر بـ + +61 +00:05:16,330 --> 00:05:23,300 +0 يبقى هذا ناقص 0 ناقص 1، تمام؟ خلصنا الشغلة + +62 +00:05:23,300 --> 00:05:30,500 +دي بدها تساوي 1/s ناقص e أس ناقص π/ + +63 +00:05:30,500 --> 00:05:37,120 +اثنين s على s، ونقلي الواحد على الشغلة التانية + +64 +00:05:37,120 --> 00:05:45,990 +بصير s² + 1 في capital Y of s بده يساوي + +65 +00:05:45,990 --> 00:05:56,330 +1 + 1/s ناقص e أس ناقص π/2 s + +66 +00:05:56,750 --> 00:06:04,230 +كله على s، نجّم كله على s² + 1، بكون حصلتِ + +67 +00:06:04,230 --> 00:06:09,650 +على الابلاس transform لمين؟ لحل المعادلة التفاضلية + +68 +00:06:09,650 --> 00:06:17,690 +لو capital Y of s بده يساوي 1/s² + + +69 +00:06:17,690 --> 00:06:25,470 +1 + 1/s في s² + 1 + +70 +00:06:39,410 --> 00:06:44,550 +يبقى أنا الآن بهذا حصلت على Laplace transform للـ + +71 +00:06:44,550 --> 00:06:49,130 +solution، بدي الـ solution، يبقى باخد Laplace inverse + +72 +00:06:49,130 --> 00:06:54,010 +لمين؟ للطرفين، بس لو روحت في الجدول لا بلاقي هذه ولا + +73 +00:06:54,010 --> 00:06:59,370 +بلاقي هذه، لكن بقدر أعمل إتمامه partial fractions + +74 +00:06:59,370 --> 00:07:04,790 +تحليل كسور جزئية، وأحلل بدل ما هو كسر واحد أخليه + +75 +00:07:04,790 --> 00:07:11,210 +كسرين ونشوف إيش اللي بده يصير، إذا لو جيت هنا 1 + +76 +00:07:11,210 --> 00:07:17,150 +على s في s² + 1، بنقدر نحلل أكثر من + +77 +00:07:17,150 --> 00:07:22,570 +ذلك والله، جاهزين إحنا؟ جاهزين؟ هذه من الدرجة الثانية + +78 +00:07:22,570 --> 00:07:25,930 +ولا يمكن تحليلها في الـ real وهذه من الدرجة الأولى + +79 +00:07:25,930 --> 00:07:30,970 +انتهينا منها، يبقى بقدر أقول هذه constant على s + +80 +00:07:30,970 --> 00:07:40,130 +وهذه bs + c على s² + 1، نضرب الطرفين + +81 +00:07:40,130 --> 00:07:45,830 +في المقام اللي عندنا هذا، بصير عندنا 1 يساوي a + +82 +00:07:45,830 --> 00:07:53,990 +في s² + 1 زائد الـ bs + الـ c كله في + +83 +00:07:53,990 --> 00:07:59,450 +من؟ في الـ s اللي عندنا هذه، يعني بصير إيه؟ بصير + +84 +00:07:59,450 --> 00:08:10,110 +1 بده يساوي as² + الـ a زائد bs² + c + +85 +00:08:10,110 --> 00:08:18,310 +s أو إن شئتِ لنقول هذه a + b a + الـ b + +86 +00:08:18,310 --> 00:08:26,930 +كله في s² زائد c في الـ s ما فيش عندي غيرها + +87 +00:08:26,930 --> 00:08:34,730 +زائد الـ constant a، الآن لو قارنتِ المعاملات في + +88 +00:08:34,730 --> 00:08:41,450 +الطرفين بحصل على إيه؟ يبقى a بقداش يا بنات؟ 1 + +89 +00:08:41,450 --> 00:08:49,250 +تمام، انتهينا منها، و c تساوي 0، تمام تمام، و نجي + +90 +00:08:49,250 --> 00:08:57,540 +الـ a + الـ b، يعني الـ a عندي بـ 1، يبقى b بسالب + +91 +00:08:57,540 --> 00:09:02,240 +1، تمام تمام، إذا صار الـ partial fraction اللي + +92 +00:09:02,240 --> 00:09:07,720 +هادي على الشكل التالي: 1 على s في s² + + +93 +00:09:07,720 --> 00:09:14,920 +1 يساوي الـ a بـ 1، يبقى 1/s، الآن سيب 0 + +94 +00:09:14,920 --> 00:09:19,640 +مع السلامة الله يسهّل عليه، الـ b بسالب 1، يبقى سالب + +95 +00:09:19,640 --> 00:09:29,100 +s على s² + 1، إذا صار هذا capital Y as a + +96 +00:09:29,100 --> 00:09:35,760 +function of s على الشكل التالي وإنّه يفوق، يبقى هذه + +97 +00:09:35,760 --> 00:09:43,470 +لو جيتِ حلّلتها هي عبارة عن 1/s ناقص s على s + +98 +00:09:43,470 --> 00:09:48,690 +تربيع زائد 1، اللي هي التانية الأولى هذه زائد + +99 +00:09:48,690 --> 00:09:54,150 +واحدة على s تربيع زائد واحدة، يبقى خلّصتِ من اتنين + +100 +00:09:54,150 --> 00:09:59,790 +هدول، باقي عندي اتنين هذه، طلّعي في هذه هنا سبقها + +101 +00:09:59,790 --> 00:10:09,000 +ناقص، يبقى ناقص e أس ناقص π/2 s على s تمام؟ + +102 +00:10:09,000 --> 00:10:14,980 +الآن ناقص نتيجة لـ ناقص هذا إيش بيصير؟ زائد وهو هذه + +103 +00:10:14,980 --> 00:10:25,060 +e أس ناقص π/2 s في مين؟ في s على s تربيع + +104 +00:10:25,060 --> 00:10:30,280 +زائد 1، تمام؟ + +105 +00:10:30,280 --> 00:10:34,880 +إذا أنا بدي الحل خلاص، مش ضايل اللي أجيب له مني الحل + +106 +00:10:34,880 --> 00:10:36,880 +فبأجي بقول له ذا + +107 +00:10:47,370 --> 00:10:55,140 +خلي بالك هنا، y of t يساوي، يعني بتاخد plus inverse + +108 +00:10:55,140 --> 00:10:59,060 +هنا plus inverse، هنا plus inverse، هنا plus inverse + +109 +00:10:59,060 --> 00:11:00,080 +هنا plus inverse، هنا plus inverse، هنا plus inverse + +110 +00:11:00,080 --> 00:11:01,600 +هنا plus inverse، هنا plus inverse، هنا plus inverse + +111 +00:11:01,600 --> 00:11:01,700 +هنا plus inverse، هنا plus inverse، هنا plus inverse + +112 +00:11:01,700 --> 00:11:01,760 +هنا plus inverse، هنا plus inverse، هنا plus inverse + +113 +00:11:01,760 --> 00:11:03,060 +هنا plus inverse، هنا plus inverse، هي plus inverse + +114 +00:11:03,060 --> 00:11:04,960 +هي plus inverse، هي plus inverse، هي plus inverse، هي + +115 +00:11:04,960 --> 00:11:05,040 +plus inverse، هي plus inverse، هي plus inverse، هي + +116 +00:11:05,040 --> 00:11:06,560 +plus inverse، هي plus inverse، هي plus inverse، هي + +117 +00:11:06,560 --> 00:11:06,580 +plus inverse، هي plus inverse، هي plus inverse، هي + +118 +00:11:06,580 --> 00:11:06,780 +plus inverse، هي plus inverse، هي plus inverse، هي + +119 +00:11:06,780 --> 00:11:08,540 +plus inverse، هي plus inverse، هي plus inverse، هي + +120 +00:11:08,540 --> 00:11:14,990 +plus inverse، يبقى في الجدول طلّع لي على 319، + +121 +00:11:14,990 --> 00:11:22,730 +مظبوط؟ هي 319 ولا لأ؟ صح؟ وين كتابك؟ وين الورق اللي + +122 +00:11:22,730 --> 00:11:27,050 +وزّعت عليه كل مرة؟ اللي في أي موب أي كتاب؟ يبقى + +123 +00:11:27,050 --> 00:11:28,630 +يفتح صفحة 319 + +124 +00:11:35,090 --> 00:11:41,650 +يبقى 319، cos a t بيساوي s على s تربيع زائد + +125 +00:11:41,650 --> 00:11:49,110 +a تربيع، الـ a عندي بقداش؟ a بـ 1، يبقى دي فقط cos + +126 +00:11:49,110 --> 00:11:53,290 +t، يبقى ناقص cos t + +127 +00:12:00,860 --> 00:12:11,560 +يبقى هنا ناقص يبقى + +128 +00:12:11,560 --> 00:12:15,780 +هنا ناقص يبقى هنا ناقص + +129 +00:12:22,270 --> 00:12:29,050 +هذه أو هذه أو هذه أو هذه أو + +130 +00:12:29,050 --> 00:12:32,750 +هذه + +131 +00:12:32,750 --> 00:12:33,210 +أو هذه أو هذه أو هذه أو هذه أو + +132 +00:12:33,210 --> 00:12:36,390 +هذه أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه + +133 +00:12:36,390 --> 00:12:37,370 +أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه + +134 +00:12:37,370 --> 00:12:37,610 +أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه + +135 +00:12:37,610 --> 00:12:38,270 +أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه + +136 +00:12:38,270 --> 00:12:38,430 +أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه + +137 +00:12:38,430 --> 00:12:38,850 +أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه + +138 +00:12:38,850 --> 00:12:39,130 +أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه + +139 +00:12:39,130 --> 00:12:40,210 +أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه + +140 +00:12:40,210 --> 00:12:43,290 +أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه أو هذه + +141 +00:12:48,230 --> 00:12:54,190 +بدي أعيد صياغتها مرة تانية، يبقى الـ y as a function + +142 +00:12:54,190 --> 00:13:03,930 +of t، يبقى 1 + +143 +00:13:03,930 --> 00:13:06,290 +ناقص cos t + +144 +00:13:19,510 --> 00:13:24,970 +نرجع بالذاكرة إلى الورق في الهامش لحساب المثلثات + +145 +00:13:24,970 --> 00:13:32,690 +هذه cos t، cos π/2، اللي إشارة ناقص بصير زائد + +146 +00:13:32,690 --> 00:13:39,270 +sin t sin π/2، cos π/2 + +147 +00:13:39,270 --> 00:13:44,150 +بقداش؟ 0، sin π/2 بقداش؟ إذا بقدر + +148 +00:13:44,150 --> 00:13:49,270 +أشيلها وأكتب بدلها sin t، يعني بدل ما كانت cosine + +149 +00:13:49,270 --> 00:13:55,710 +t نقص π/2 يبقى بكتب بدلها sin t، يعني لو + +150 +00:13:55,710 --> 00:13:59,990 +روحتِ على الكتاب يمكن تلاقي الإجابة هذه ويمكن + +151 +00:13:59,990 --> 00:14:04,310 +تلاقي الإجابة هذه، والاتنين are the same، يبقى أي + +152 +00:14:04,310 --> 00:14:09,610 +إجابة من الإجابتين صحيحة وما عليها مشكلة + +153 +00:14:26,900 --> 00:14:38,300 +مثال رقم 2 بيقول + +154 +00:14:38,300 --> 00:14:49,390 +لي: y'' زائد 4 y يساوي sin t ناقص u + +155 +00:14:49,390 --> 00:15:00,550 +2π as a function of t في sin t ناقص 2π + +156 +00:15:00,550 --> 00:15:06,690 +2π بالشكل اللي عندنا هنا تمام، وقال لي إن الـ + +157 +00:15:06,690 --> 00:15:14,020 +y عند الـ 0 بدها تساوي، y' عند الـ 0 بدها تساوي + +158 +00:15:14,020 --> 00:15:20,120 +من؟ بدها تساوي 0، كويس، يبقى التكتيك اللي بدأتِ + +159 +00:15:20,120 --> 00:15:23,940 +بتاوي، بدأ بدابو، معناه أنتِ بتروحي تاخدي Laplace للـ plus + +160 +00:15:23,940 --> 00:15:27,800 +transform للطرفين، بس مش محتاجِ هذه ألعب في شكل + +161 +00:15:28,070 --> 00:15:33,510 +المعادلة لإنه جاهزة وخالصة تمام، يبقى باجي بقول له + +162 +00:15:33,510 --> 00:15:38,850 +Laplace transform للـ y'' زائد 4 + +163 +00:15:38,850 --> 00:15:44,650 +Laplace transform للـ y بدها تساوي Laplace transform + +164 +00:15:44,650 --> 00:15:52,330 +للـ sin t ناقص Laplace transform لـ u 2π as a + +165 +00:15:52,330 --> 00:16:01,480 +function of t في الـ sin t ناقص 2 باقي الشكل + +166 +00:16:01,480 --> 00:16:08,820 +اللي عندنا هذا وهيقفلنا، طيب هذا يا بنات لـ s² + +167 +00:16:08,820 --> 00:16:16,220 +capital Y of s ناقص s في الـ y عند الـ 0 ناقص y + +168 +00:16:16,220 --> 00:16:22,600 +prime عند الـ 0 زائد 4 capital Y of s يساوي + +169 +00:16:23,490 --> 00:16:29,350 +بدأ يجي لـ plus لـ sin t توسّعها هنا اللي هو بقداش؟ + +170 +00:16:29,350 --> 00:16:37,050 +1/s² + 1 تمام؟ ناقص لـ plus + +171 +00:16:37,050 --> 00:16:44,770 +transform لـ u 2π t sin + +201 +00:19:45,040 --> 00:19:54,060 +plus four ناقص EOS ناقص اثنين by S في واحد على S² + +202 +00:19:54,060 --> 00:19:58,120 +plus one في S² plus four + +203 +00:20:06,710 --> 00:20:12,850 +لذلك سنضطر إلى عمل partial fraction لمهم للكسر + +204 +00:20:12,850 --> 00:20:17,430 +الذي عندنا هذا ونشوف أين بده يوصلنا إذا لو جئت + +205 +00:20:17,430 --> 00:20:25,270 +للواحد على S² plus one في S² plus four يبقى هذا + +206 +00:20:25,270 --> 00:20:33,050 +الكلام بده يساوي هذا ال S² plus one وهنا ال S² + +207 +00:20:33,050 --> 00:20:39,750 +plus four يعني المقام هذا لا يمكن تحليله أكثر من + +208 +00:20:39,750 --> 00:20:44,780 +ذلك هذه polynomial من الدرجة الثانية، إذا بدي أضع + +209 +00:20:44,780 --> 00:20:50,120 +البسط polynomial من الدرجة الأولى، يبقى بروح بقوله + +210 +00:20:50,120 --> 00:20:55,940 +AS زائد B بنفس الطريقة، هذه من الدرجة الثانية، بدي + +211 +00:20:55,940 --> 00:21:04,380 +أضع البسط من الدرجة الأولى، يبقى CS زائد D بعد ذلك + +212 +00:21:04,380 --> 00:21:09,380 +اضرب الطرفين في المقام الذي عندها ده عشان نتخلص من + +213 +00:21:09,380 --> 00:21:17,000 +جزء الكسور بالمرة يبقى بيصير عندي 1 يساوي AS زائد + +214 +00:21:17,000 --> 00:21:24,280 +B في S square plus 4 تمام هذا ال term الأول ال term + +215 +00:21:24,280 --> 00:21:32,220 +الثاني زائد CS زائد D في من في ال S square plus + +216 +00:21:32,220 --> 00:21:38,900 +one يبقى هاي ضربة الثلاثة أطراف أو الثلاثة مقادير + +217 +00:21:38,900 --> 00:21:43,520 +في من في ال S square plus one زائد S square plus + +218 +00:21:43,520 --> 00:21:51,100 +four هذا لو جئت فكيتـه يبقى واحد بدي يساوي AS تكعيب + +219 +00:21:51,100 --> 00:22:02,440 +زائد 4AS زائد BS تربيع زائد 4B الذي عملته للجملة + +220 +00:22:02,440 --> 00:22:06,550 +التي في الأول بدي أعمله للجملة الثانية يبقى + +221 +00:22:06,550 --> 00:22:20,850 +المعادلة + +222 +00:22:20,850 --> 00:22:26,780 +صارت على الشكل التالي واحد صحيح بده يساوي ببدأ أجيب + +223 +00:22:26,780 --> 00:22:33,300 +الذين فيهم تكعيب مع بعض هذه وهذه يبقى ال a زائد c + +224 +00:22:33,300 --> 00:22:40,960 +ال a زائد c التكعيب تمام؟ ببدأ أجيب الذين فيهم + +225 +00:22:40,960 --> 00:22:48,850 +تربيع تربيع لمن؟ b زائد d يبقى زائد ال B + +226 +00:22:48,850 --> 00:22:56,630 +زائد ال D في ال S تربيع بتدور ال V من ال S يبقى 4A + +227 +00:22:56,630 --> 00:23:08,070 +زائد C زائد 4A زائد C كله هدف من ال S مش ضايل عندي + +228 +00:23:08,070 --> 00:23:18,100 +إلا الثوابت يبقى 4B زائد D يبقى زائد 4B زائد D + +229 +00:23:18,100 --> 00:23:23,120 +بالشكل الذي عندنا هنا بدنا نبدأ نقارن المعاملات في + +230 +00:23:23,120 --> 00:23:28,360 +الطرفين يبقى لو قارننا بيصير ال A زائد C كده + +231 +00:23:28,360 --> 00:23:34,870 +شنو؟ لأن ما عنديش تكعيب في الطرف الثاني و B زائد D + +232 +00:23:34,870 --> 00:23:41,870 +كمان بده يساوي صفر والـ 4A زائد C كمان بده + +233 +00:23:41,870 --> 00:23:48,590 +يساوي صفر والـ 4B زائد D بده يساوي كم؟ واحد + +234 +00:23:48,590 --> 00:23:55,170 +صحيح لاحظوا الأولى مع الثالثة بتنحل والثانية مع + +235 +00:23:55,170 --> 00:24:00,710 +الرابعة بتنحل إذا أنا لو جئت المعادلة ضربتها في + +236 +00:24:00,710 --> 00:24:06,660 +سالب واحد بصير سالب a سالب c بده يساوي صفر هذه + +237 +00:24:06,660 --> 00:24:12,880 +هأطلعها عندها الذي هو الـ 4A زائد ال C يساوي + +238 +00:24:12,880 --> 00:24:19,160 +صفر لو جمعت بروحه هدول يبقى هذا بده يعطيك أنه + +239 +00:24:19,160 --> 00:24:25,240 +ثلاثة A بده يساوي صفر يبقى ال A بده تساوي صفر + +240 +00:24:25,240 --> 00:24:30,820 +لما ال A تساوي صفر يبقى ال C بده يساوي صفر يبقى + +241 +00:24:30,820 --> 00:24:38,810 +and ال C تساوي صفر ممتاز جدا طيب هذه الآن بدي + +242 +00:24:38,810 --> 00:24:43,770 +اضربها في سالب يبقى إيش بيصير سالب بي سالب دي + +243 +00:24:43,770 --> 00:24:49,450 +يساوي صفر هذه بدي أخليها زي ما هي 4 بي زائد + +244 +00:24:49,450 --> 00:24:54,510 +دي يساوي واحد وأروح أجمع اثنين هدول مع السلامة + +245 +00:24:54,510 --> 00:25:00,290 +يبقى من الاثنين هدول بقدر أستنتج أنه ثلاثة بي + +246 +00:25:00,290 --> 00:25:07,260 +يساوي واحد يبقى البي يساوي ثلث لو كانت B بثلت + +247 +00:25:07,260 --> 00:25:15,940 +يبقى D بسالب ثلث and ال D تساوي سالب ثلث يبقى + +248 +00:25:15,940 --> 00:25:22,460 +جبتله شكل الأربعة ثوابت يبقى بناء على اليسار عندي + +249 +00:25:22,460 --> 00:25:30,020 +واحد على S square زائد واحد S square زائد أربعة + +250 +00:25:30,020 --> 00:25:36,240 +يساوي ال A عندي بثلت مش هيك؟ ال A ب صفر اه راح مع + +251 +00:25:36,240 --> 00:25:41,700 +السلامة و ال B هي التي بثلت يبقى يا ثلث خليك برا + +252 +00:25:41,700 --> 00:25:48,720 +في واحد على S Square زائد واحد و ال C بصفر كمان + +253 +00:25:48,720 --> 00:25:56,400 +مع السلامة دي بسالب ثلث يبقى سالب ثلث في واحد على + +254 +00:25:56,400 --> 00:26:03,360 +S Square زائد أربعة تمام؟ هذا ال partial fraction + +255 +00:26:03,360 --> 00:26:08,480 +الذي عندنا إذا بدي أروح له شكل capital Y of S إيش + +256 +00:26:08,480 --> 00:26:14,060 +بدي يكون شكلها يبقى بناء عليه يا بنات capital Y of + +257 +00:26:14,060 --> 00:26:19,920 +S بده يساوي هذا ال partial fraction الذي جهز يبقى + +258 +00:26:19,920 --> 00:26:27,500 +هذا ثلث في واحد على اس square زائد واحد ناقص ثلث + +259 +00:26:27,500 --> 00:26:35,700 +في واحد على اس square زائد أربعة تمام خلصنا منه هذا + +260 +00:26:35,700 --> 00:26:41,070 +خلصنا من الترم الأول بدنا نيجي للترم الثاني يبقى + +261 +00:26:41,070 --> 00:26:50,090 +عندك ناقص بصير الناقص ثلث في E أس سالب اثنين by S + +262 +00:26:50,090 --> 00:26:54,030 +وكل + +263 +00:26:54,030 --> 00:26:56,990 +هذا في واحد + +264 +00:26:59,820 --> 00:27:08,160 +ناقص مع ناقص بيصير الزائد ينقص ناقص اثنين by اس وهذه + +265 +00:27:08,160 --> 00:27:13,280 +واحد على اس square زائد أربعة + +266 +00:27:16,700 --> 00:27:25,580 +هذه سوف ننزلها كما هي وهذه أيضا أربعة فأنا أريد فوق + +267 +00:27:25,580 --> 00:27:30,100 +اثنين فهذه أنا أريد فوق اثنين فهذه أنا أريد فوق + +268 +00:27:30,100 --> 00:27:31,860 +اثنين فهذه أنا أريد فوق اثنين فهذه أريد فوق اثنين + +269 +00:27:31,860 --> 00:27:34,280 +فهذه أريد فوق اثنين فهذه أريد فوق اثنين فهذه أريد + +270 +00:27:34,280 --> 00:27:35,620 +فهذه أريد فوق اثنين فهذه أريد فوق اثنين فهذه أريد + +271 +00:27:35,620 --> 00:27:41,760 +فوق اثنين فهذه أريد + +272 +00:27:41,760 --> 00:27:49,950 +فوق اثنين فهأعلى S تربيع زائد A تربيع هذي بتبقى + +273 +00:27:49,950 --> 00:27:56,610 +مربع من الذي فوق هذي ما فيها مشكلة E أس ناقص اثنين + +274 +00:27:56,610 --> 00:28:03,590 +by S واحد على S square زائد واحد في هنا ثلث يا + +275 +00:28:03,590 --> 00:28:10,020 +بنات هنا طول يبقى هنا كمان بدي أضرب في اثنين وأجمع + +276 +00:28:10,020 --> 00:28:17,160 +على اثنين يبقى بيصير بالشكل هذا زائد سدس E أس + +277 +00:28:17,160 --> 00:28:24,780 +ناقص اثنين by S في الاثنين على S square زائد أربعة + +278 +00:28:25,570 --> 00:28:30,870 +الحين هيك جاهزين هذا ال a plus transform لمن؟ + +279 +00:28:30,870 --> 00:28:37,850 +للحل يبقى بدي شكل الحل فباجي بقوله solution هو y + +280 +00:28:37,850 --> 00:28:45,760 +of t يساوي ثلث مقدار ثابت لابلاس ال transfer لابلاس + +281 +00:28:45,760 --> 00:28:50,460 +inverse لهذا الذي هو من؟ صين ال T تمام التمام + +282 +00:28:50,460 --> 00:29:00,060 +يبقى صين ال T ناقص سدس وهذا من؟ صين اثنين T يبقى + +283 +00:29:00,060 --> 00:29:09,640 +صين اثنين T خلصنا الجزء الأول وصلنا لـ ناقص ثلث نجي + +284 +00:29:09,640 --> 00:29:19,700 +لهذه يبقى هذه U اثنين باي as a function of T في ال + +285 +00:29:19,700 --> 00:29:27,640 +plus لهذه اليمين صين ال T يبقى هذه ال sign ال T + +286 +00:29:27,640 --> 00:29:35,680 +ناقص اثنين باي يعني هذي لابلاس انفرس لها بصينة T + +287 +00:29:35,680 --> 00:29:40,680 +ونعمل لها shift بمقدار ال C الذي عندهم من اثنين + +288 +00:29:40,680 --> 00:29:45,450 +باي من المرة الماضية أو من الجدول من هذا أو هذا + +289 +00:29:45,450 --> 00:29:52,170 +بعد هيك نيجي هنا زائد سدس وهذه هي معناته هي U + +290 +00:29:52,170 --> 00:30:02,150 +اثنين باي as a function of T وهذه صين اثنين T ناقص + +291 +00:30:02,150 --> 00:30:08,210 +اثنين باي كذلك بهذا الشكل طيب يمكن لو روحنا في + +292 +00:30:08,210 --> 00:30:10,670 +الكتاب ما نلاقيش الإجابة هيك + +293 +00:30:17,140 --> 00:30:22,840 +ماشي الحال كلامك صح إصابة امرأة وأختها امرأة هي + +294 +00:30:22,840 --> 00:30:29,620 +اثنين وهي T ناقص اثنين يبقى هذه يا بنات بصير بالشكل + +295 +00:30:29,620 --> 00:30:37,140 +التالي Y as a function of T ثلث في صيني T ناقص سدس + +296 +00:30:37,140 --> 00:30:44,820 +في صيني اثنين T أيوة اثنين في هذه دورة كاملة للـ + +297 +00:30:44,820 --> 00:30:49,640 +sign ال period تبعت ال sign يبقى ال period أضافتها + +298 +00:30:49,640 --> 00:30:55,480 +للزاوية و الله شيلتها بيثر وحتى المضاعفات بيثرش، + +299 +00:30:55,480 --> 00:30:59,900 +إذا بناء عليه هذه مصيرة ناقص طول + +300 +00:31:18,410 --> 00:31:28,230 +يبقى الزائد 6 u2 by as a function of t لصينة t + +301 +00:31:28,230 --> 00:31:32,840 +كذلك يبقى هذا ال solution لمن؟ لل differential + +302 +00:31:32,840 --> 00:31:37,960 +equation لحد هنا stop إذا ال section هذا يعتمد + +303 +00:31:37,960 --> 00:31:42,700 +اعتمادا كليا على ال section السابق الذي هو ال unit + +304 +00:31:42,700 --> 00:31:48,880 +step function لحد هنا انتهى ال section وبانتهاء + +305 +00:31:48,880 --> 00:31:56,020 +هذا ال section نكتفي والله يعطيكم العافية الآن + +306 +00:31:56,020 --> 00:32:01,840 +باقي المحاضرة بدنا نحاول نحل فيها أحد الامتحانات + +307 +00:32:01,840 --> 00:32:09,340 +السابقة له ال final exam طبعا طيب الآن بدنا نمسح + +308 +00:32:09,340 --> 00:32:14,260 +هذا الكلام ونحل الامتحان الذي وزعناه عليكم وهو + +309 +00:32:14,260 --> 00:32:19,180 +امتحان خاص به شخصيا ما أحد شاركني فيه نيجي الآن + +310 +00:32:19,180 --> 00:32:26,860 +لامتحان هذا لو كان سنة امتحان 2005 تمام؟ امتحان 23 + +311 +00:32:26,860 --> 00:32:31,800 +-8 كان صيفي زي الصيف هذا بالضبط تماما قبل سبع + +312 +00:32:31,800 --> 00:32:35,800 +سنوات بيقول you do all the following questions + +313 +00:32:35,800 --> 00:32:40,480 +يعني بدك تحل كل المسائل التالية السؤال الأول + +314 +00:32:40,480 --> 00:32:45,490 +خيارات متعددة بدي أكتب الصيغة باختصار وأكتب + +315 +00:32:45,490 --> 00:32:51,570 +الخيارات وأحدد النقطة الأولى أو السؤال الأول + +316 +00:32:51,570 --> 00:32:57,730 +النقطة الأولى التي هي نمرا أ ماتيني بده ال order + +317 +00:32:57,730 --> 00:33:04,030 +ofالـ differential equation التي هي TY triple + +318 +00:33:04,030 --> 00:33:12,410 +prime زائد Y double prime كله أس أربعة زائد Y + +319 +00:33:12,410 --> 00:33:19,270 +تساوي صفر S وما أعطيني أربع إجابات الإجابة الأولى + +320 +00:33:19,270 --> 00:33:27,800 +اثنين وثلاثة وأربعة واثنين في أربعة ثمانية كمان؟ + +321 +00:33:27,800 --> 00:33:34,060 +يبقى هي رتبة أعلى معامل تفاضلي أعلى معامل تفاضلي + +322 +00:33:34,060 --> 00:33:39,400 +لأن كم؟ يبقى الإجابة الصحيحة هي ثلاثة وفي أعمال + +323 +00:33:39,400 --> 00:33:47,990 +الفصل جيبنالكوا سؤال زيها طيب نمرا بيه؟ نمرا بيقول + +324 +00:33:47,990 --> 00:33:55,130 +الـ differential equation الـ y' بدها تساوي x ناقص + +325 +00:33:55,130 --> 00:34:04,130 +y كله مقسوم على x is linear only linear only والله + +326 +00:34:04,130 --> 00:34:12,990 +exact only والله homogeneous only homogeneous only + +327 +00:34:12,990 --> 00:34:19,950 +والله all of the above All of the above، من من + +328 +00:34:19,950 --> 00:34:27,590 +هذول؟ بمجرد النظر لو وزعنا بصير واحد ناقص Y على X + +329 +00:34:27,590 --> 00:34:32,650 +يبقى homogeneous، أه homogeneous هذه صحيحة، لكن هل + +330 +00:34:32,650 --> 00:34:37,730 +التي قبلها صحيحة ولا لأ؟ تعال نشوف الآن قال لي هذه + +331 +00:34:37,730 --> 00:34:42,710 +linear بقول والله ما أنا عارف هذه ههه عبارة عن + +332 +00:34:42,710 --> 00:34:46,990 +واحد ناقص y على x لو جيبتها على الشجرة بصير y + +333 +00:34:46,990 --> 00:34:52,050 +prime زائد واحد على x في y يساوي واحد linear ولا + +334 +00:34:52,050 --> 00:34:58,220 +لا يبقى linear صحيح ال exact ببدأ أحطها في صيغة ال + +335 +00:34:58,220 --> 00:35:04,520 +exact فبروح بقولها نهاها التي هي x dy + +336 +00:35:10,010 --> 00:35:17,070 +بتساوي من؟ بتساوي الـ X ناقص Y في الـ DX تمام؟ + +337 +00:35:17,070 --> 00:35:21,930 +نعملها معادلة صفرية يبقى لو عملناها معادلة صفرية + +338 +00:35:21,930 --> 00:35:31,690 +بصير ال Y ناقص ال X في ال DX زائد ال X في ال DY + +339 +00:35:31,690 --> 00:35:35,370 +بتساوي صفر يعني جبت هاد وين على الشجرة الثانية + +340 +00:35:35,370 --> 00:35:40,270 +بتجيني بإشارة مخالفة أنا بدي أشوف exact ولا لأ يبقى + +341 +00:35:40,270 --> 00:35:45,490 +بدي أخد partial M by partial Y تفاضلها بالنسبة لـY + +342 +00:35:45,490 --> 00:35:50,790 +بقدرش تفاضل هذه بالنسبة لـX كمان بقدرش يبقى + +343 +00:35:50,790 --> 00:35:55,870 +partial N partial X يبقى exact كمان ما لها صحيحة + +344 +00:35:55,870 --> 00:36:00,510 +يبقى الإجابة الصحيحة النهائية هي من All of the + +345 +00:36:00,510 --> 00:36:06,450 +above وليس التالي يبقى الإجابة الصحيحة يقول all of + +346 +00:36:06,450 --> 00:36:14,210 +the above be listed now نقطة نمرا C نمرا C بيقول + +347 +00:36:14,210 --> 00:36:20,300 +any separable equation وأجيب نهار كل مرة اللي فاتت + +348 +00:36:20,300 --> 00:36:27,760 +separable equation is exact ولا Bernoulli ولا + +349 +00:36:27,760 --> 00:36:34,880 +homogeneous is exact ولا + +350 +00:36:34,880 --> 00:36:41,620 +Bernoulli ولا + +351 +00:36:41,620 --> 00:36:44,560 +homogeneous + +352 +00:36:47,730 --> 00:36:49,510 +والله none of the above + +353 +00:36:59,160 --> 00:37:02,760 +طب على إجابة صحيحة على اليمين يا بنات؟ exactly ليه + +354 +00:37:02,760 --> 00:37:08,860 +C parable؟ لأن C parable فصل المتغيرات صار عندك + +355 +00:37:08,860 --> 00:37:17,240 +هنا M of X DX يساوي ال N of Y DY صارت الدالة التي + +356 +00:37:17,240 --> 00:37:21,320 +على اليمين ده الذي في Y والي على الشمال ده الذي + +357 +00:37:21,320 --> 00:37:31,060 +في X إذا بيصير هذه ال M of X DX ناقص ال N of Y DY + +358 +00:37:31,060 --> 00:37:37,400 +بتسوى كم؟ صفر مشتقة هذه بالنسبة ل Y partial + +359 +00:37:37,400 --> 00:37:43,660 +M على partial Y كم؟ تفاضل هذه بالنسبة ل X partial N + +360 +00:37:43,660 --> 00:37:47,500 +على partial X هذه دالة في Y إذا أنت أتممت مجبرة + +361 +00:37:47,500 --> 00:37:52,160 +ثابت كده مشتقتها؟ صفر يساوي صفر إذا هذه إيش؟ + +362 +00:37:52,160 --> 00:37:57,980 +Exact يبقى الإجابة الصحيحة هي من؟ Exact نجي لنمرا + +363 +00:37:57,980 --> 00:38:05,330 +D نمرا D بقول ال differential equation هذه ال + +364 +00:38:05,330 --> 00:38:14,290 +equation هذه التي هي من y prime بدها تساوي ثلاثة x + +365 +00:38:14,290 --> 00:38:24,910 +في ال y زائد x to the power n is separable if + +366 +00:38:27,580 --> 00:38:34,600 +الآن تساوي كم؟ سالب واحد والله صفر والله واحد + +367 +00:38:34,600 --> 00:38:40,880 +والله ثلاثة وكم؟ هذه بتبقى C Parallel يعني و + +368 +00:38:40,880 --> 00:38:48,880 +كم؟ بقدر أفصل ال X لحال وال Y لحال طبعا لو كانت + +369 +00:38:48,880 --> 00:38:54,280 +هذه صفر ليش؟ لأن لو صارت X أو صفر الذي هو بواحد + +370 +00:38:54,280 --> 00:38:57,480 +يبقى البنجو سين هو ده الذي في Y وده الذي في X + +371 +00:38:57,480 --> 00:39:01,340 +باكسيم عليه واحدة بصير ثلاثة X دي X يبقى لو + +401 +00:42:48,620 --> 00:42:53,580 +إذا لو رحت جبت لهم الرنسكن بالشكل التالي الرنسكن + +402 +00:42:53,580 --> 00:43:01,420 +تبع الـ F والـ G بده يساوي المحدد الأولى + +403 +00:43:01,420 --> 00:43:09,380 +هي الـ F of X الـ G اللي هي الـ F of X ناقص 3 بظبط؟ + +404 +00:43:09,380 --> 00:43:17,320 +إذا بدي أشتق يبقى الـ F' of X وهنا الـ F' of X + +405 +00:43:17,320 --> 00:43:22,580 +ومشتقة التلاتة بقداش؟ بـ Zero بدنا نفكر رونس + +406 +00:43:22,580 --> 00:43:29,340 +كينهدا ونسميه بقداش بـ 6X يبقى هذا الـ f of x في الـ f + +407 +00:43:29,340 --> 00:43:37,660 +prime of x ناقص اللي هو الـ f of x في الـ f prime of + +408 +00:43:37,660 --> 00:43:44,620 +x ناقص مع ناقص بيصير زائد تلاتة f prime of x كله + +409 +00:43:44,620 --> 00:43:50,580 +بيسوي ستة x أظن أن هذي وهذي مع السلامة بقى عندنا + +410 +00:43:50,580 --> 00:43:57,740 +تلاتة F prime of X يساوي ستة X يبقى الـ F prime of + +411 +00:43:57,740 --> 00:44:03,960 +X يساوي قداش؟ 2 X يبقى معنى هذا الكلام أن الـ F of + +412 +00:44:03,960 --> 00:44:10,720 +X يساوي X تربيع زائد كونستان C بالتكامل طيب كويس إذا + +413 +00:44:10,720 --> 00:44:15,560 +المعلومة الأولى من المثلة استفدنا فيها شكل الـ F of + +414 +00:44:15,560 --> 00:44:20,120 +X قال لي في عندك معلومة تانية أن الـ F of Zero بده + +415 +00:44:20,120 --> 00:44:26,360 +يساوي Zero يبقى هنا Zero بده يساوي Zero زائد الـ C + +416 +00:44:26,360 --> 00:44:30,680 +يبقى الـ C بقداش بده يساوي Zero يبقى أصبح F of X + +417 +00:44:30,680 --> 00:44:38,840 +يساوي بقداش؟ X تربيع الإجابة رقم تلاتة نجي الآن + +418 +00:44:38,840 --> 00:44:46,320 +لآخر نقطة في الخيارات نمرة G يبقى نمرة G بتقول ما + +419 +00:44:46,320 --> 00:44:53,500 +يأتي الـ differential equation X تربيع زائد أربعة X + +420 +00:44:53,500 --> 00:45:01,660 +تربيع زائد أربعة في الـ Y double prime زائد اتنين X + +421 +00:45:01,660 --> 00:45:08,560 +في الـ Y prime 2 X في الـ Y prime زائد Y يساوي + +422 +00:45:08,560 --> 00:45:09,780 +Zero + +423 +00:45:12,720 --> 00:45:24,260 +في عندي أربع إجابات، no singular points الإجابة + +424 +00:45:24,260 --> 00:45:30,440 +الثانية، no ordinary + +425 +00:45:30,440 --> 00:45:37,940 +points الإجابة التالتة، two singular points + +426 +00:46:01,440 --> 00:46:03,320 +معادلة برنولي + +427 +00:46:08,490 --> 00:46:13,750 +لأ مش Bernoulli بدك اه هذا مش صحيح اه هيك هذه + +428 +00:46:13,750 --> 00:46:17,950 +بتبقى x زائد 4 لكل تربيع و بدي يكون هنا x زائد 4 + +429 +00:46:17,950 --> 00:46:21,490 +يبقى هذه ليست معادلة Bernoulli Bernoulli ولا مش + +430 +00:46:21,490 --> 00:46:25,730 +Bernoulli مش هذا السؤال اه قصدي oiler ولا مش oiler + +431 +00:46:25,730 --> 00:46:30,220 +ماهياش oiler مش هذا السؤال السؤال قال لي بشوف ليها + +432 +00:46:30,220 --> 00:46:35,540 +فيهاش ولا singular point فيهاش ولا ordinary point + +433 +00:46:35,540 --> 00:46:40,600 +فيها two singular points فقط فيها two ordinary + +434 +00:46:40,600 --> 00:46:45,540 +points إذا نحكم احنا من خلال الـ main المعامل تبع y + +435 +00:46:45,540 --> 00:46:51,060 +w prime يبقى لو قلت x تربيع زائد أربعة يساوي zero + +436 +00:46:51,060 --> 00:46:59,730 +بجيب نتيجة بقداش؟ زائد أو ناقص 2 I يعني Complex + +437 +00:46:59,730 --> 00:47:03,390 +نقطتين Complex ما عندي مشكلة Complex ولا real + +438 +00:47:03,390 --> 00:47:08,690 +ما عندي مشكلة إذا في عندي two singular points X + +439 +00:47:08,690 --> 00:47:13,390 +يساوي 2 I و X يساوي سالب 2 I يبقى الإجابة + +440 +00:47:13,390 --> 00:47:20,310 +صحيحة two singular points طب والباقي النقاط؟ يبقى + +441 +00:47:20,310 --> 00:47:26,630 +two ordinary غلط، no ordinary غلط، two ordinary + +442 +00:47:26,630 --> 00:47:31,790 +غلط، بلا اندي two singular أو مافيش singular، لا + +443 +00:47:31,790 --> 00:47:36,590 +two singular points هي الإجابة الصحيحة والباقي كله + +444 +00:47:36,590 --> 00:47:43,600 +خطأ طيب خلصنا السؤال الأول وهو سؤال الخيارات + +445 +00:47:43,600 --> 00:47:53,240 +المتعدد طيب اضع الـ H ماشي ولا يهمك GH H بيقول لو + +446 +00:47:53,240 --> 00:47:59,680 +كان F of T بده يساوي تمانية then Laplace transform + +447 +00:47:59,680 --> 00:48:07,340 +يعني then Laplace transform لتمانية يساوي يساوم + +448 +00:48:07,340 --> 00:48:14,220 +يعطيني عدة إجابات يا إما تمانية يا إما تمانية في + +449 +00:48:14,220 --> 00:48:21,840 +اس يا إما تمانية على اس يا إما إيوس ناقص تمانية اس + +450 +00:48:21,840 --> 00:48:26,140 +إيوس ناقص تمانية اس أنا بقول الإجابة الأخيرة هي + +451 +00:48:26,140 --> 00:48:32,580 +الصحيحة ايه يا عزيزي؟ غلط كلامي يعني؟ غلط ونص كمان؟ + +452 +00:48:32,580 --> 00:48:38,500 +يبقى بدنا الإجابة الصحيحة بنقوله بسيطة Laplace + +453 +00:48:38,500 --> 00:48:45,540 +لتمانية هذه بقدر أقول Laplace لتمانية في واحد، + +454 +00:48:45,540 --> 00:48:52,950 +تمام؟ هذه لخاصية الـ linearity يبقى هذا بيصير تمانية + +455 +00:48:52,950 --> 00:48:57,490 +في الـ plus للـ one الـ plus للـ one اللي هو واحد على + +456 +00:48:57,490 --> 00:49:03,410 +اس يبقى النتيجة تمانية في واحد على اس اللي هو + +457 +00:49:03,410 --> 00:49:07,750 +ثمانية على اس هي الإجابة مين الصحيحة + +458 +00:49:15,180 --> 00:49:25,900 +السؤال التاني بيقول اتحل هاش اتحل + +459 +00:49:25,900 --> 00:49:34,290 +هاش اتحل هاش اتحل هاش اتحل هاش لأ، 2005 كان + +460 +00:49:34,290 --> 00:49:37,230 +موجود في التمرين، الآن في الطبع هذه مش موجود في + +461 +00:49:37,230 --> 00:49:41,300 +التمرين يعني رايحة دماغك بدي اقولهلك وبقولهلك لكن + +462 +00:49:41,300 --> 00:49:47,500 +احنا بقولك رايح ماشي يبقى هذا answer سؤال اتنين a + +463 +00:49:47,500 --> 00:49:51,560 +بدنا اتنين b يبقى اللي solve the differential + +464 +00:49:51,560 --> 00:49:57,360 +equation solve the differential اتنين بيها طبعا + +465 +00:49:57,360 --> 00:50:02,620 +يبقى solve the differential equation y زائد اتنين + +466 +00:50:02,620 --> 00:50:12,990 +e أَس x في من في الـ dx زائد التانية واحد زائد E أَس + +467 +00:50:12,990 --> 00:50:21,550 +ناقص X كله DY ساوي زير من حد ما تشوفي الشكل + +468 +00:50:21,550 --> 00:50:25,170 +المعادل بيه هذا الشكل ايش أول شيء بيختر في بالك + +469 +00:50:25,170 --> 00:50:32,960 +exact أو integrating factor هل هي exact؟ إذا كانت + +470 +00:50:32,960 --> 00:50:37,300 +أكثر فالله المين القتال ماكانش يبقى بنجيبلها الـ + +471 +00:50:37,300 --> 00:50:40,620 +integrating factor ونروح نلقيها نحل المعادلة + +472 +00:50:40,620 --> 00:50:47,520 +التفاضلية هي جاهزة معادلة صفرية function في dx + +473 +00:50:47,520 --> 00:50:53,270 +function في dy إذا بدي شوح أشوف الـ exact تبعها يبقى + +474 +00:50:53,270 --> 00:50:58,430 +بدي أخد partial M by partial Y تفاضلها بالنسبة له + +475 +00:50:58,430 --> 00:50:59,290 +يبقى dash + +476 +00:51:02,000 --> 00:51:08,020 +تفاضلها بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل + +477 +00:51:08,020 --> 00:51:09,700 +X بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +478 +00:51:09,700 --> 00:51:10,660 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +479 +00:51:10,660 --> 00:51:10,920 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +480 +00:51:10,920 --> 00:51:11,620 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +481 +00:51:11,620 --> 00:51:12,200 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +482 +00:51:12,200 --> 00:51:12,440 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +483 +00:51:12,440 --> 00:51:12,480 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +484 +00:51:12,480 --> 00:51:14,180 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +485 +00:51:14,180 --> 00:51:19,300 +بالنسبة إلى X تفاضل X بالنسبة + +486 +00:51:19,300 --> 00:51:19,880 +إلى X تفاضل + +487 +00:51:24,120 --> 00:51:30,460 +ولا مالهاش إذا لو جيت قلت هنا بدي أخد تفاضل الـ M + +488 +00:51:30,460 --> 00:51:36,300 +بالنسبة إلى Y ناقص تفاضل الـ N بالنسبة لـ X مقصود من + +489 +00:51:36,300 --> 00:51:42,560 +على مين؟ بدي أشوف يطلع function في X ولا لا بقول هذا + +490 +00:51:42,560 --> 00:51:49,300 +الكلام يساوي تفاضل M بالنسبة الى Y واحد ناقص ناقص + +491 +00:51:49,300 --> 00:51:55,860 +بالصيرة زائد E واث ناقص X على N N عند بقداش بواحد + +492 +00:51:55,860 --> 00:52:01,140 +زائد E واث ناقص X يبقى واحد زائد E واث ناقص X + +493 +00:52:01,140 --> 00:52:07,420 +الجواب بقداش طالع؟ مقدار ثابت يبقى هذا function في y + +494 +00:52:07,420 --> 00:52:13,260 +ولا function في x automatic مدام أنا عملت الخطوة + +495 +00:52:13,260 --> 00:52:17,740 +دي بدي اعتبره غصما على اللي ما يرضياش function في x + +496 +00:52:17,740 --> 00:52:23,860 +تمام لو كان مقلوب هبدي اعتبره function في y يبقى + +497 +00:52:23,860 --> 00:52:30,900 +هذا function of x only يبقى خلاص بجيب لي جهد على + +498 +00:52:30,900 --> 00:52:36,350 +مين؟ على الـ integrating فاكتور نكمل ولا خلاص؟ خلاص + +499 +00:52:36,350 --> 00:52:40,070 +صاحب نجيب الـ integrating factor وبالتالي بحولها + +500 +00:52:40,070 --> 00:52:44,570 +إلى exact وبكمل بحل الـ main بحل الـ exact + +501 +00:53:03,590 --> 00:53:09,210 +هذا هو السؤال الثاني نذهب إلى السؤال الثالث بيقول + +502 +00:53:09,210 --> 00:53:18,970 +find a particular solution سؤال التالت find Y of T + +503 +00:53:18,970 --> 00:53:24,570 +يعني particular solution للـ differential equation Y + +504 +00:53:24,570 --> 00:53:29,890 +to the derivative four ناقص تمانية Y double prime + +505 +00:53:29,890 --> 00:53:42,170 +زائد ستة عشر Y يساوي E أَس 2 T زائد T E أَس ناقص + +506 +00:53:42,170 --> 00:53:48,650 +T وبينجو سينو بخط غامق جالي تحسبش الـ constants زي + +507 +00:53:48,650 --> 00:53:51,850 +ما جيبناكوا سؤالتي احسبش القنصة و رغم ذلك أنا بصلح + +508 +00:53:51,850 --> 00:53:54,930 +لقيت كام واحد ريحتي حاسبولي قنصة واضايقته فقالوا + +509 +00:53:54,930 --> 00:53:58,760 +يا عزيزي والله كانت فضيات ووراهم الشغل طيب أنا جاي + +510 +00:53:58,760 --> 00:54:02,480 +لكوا بخط غامق، don't evaluate the conosa، يعيش وقتك + +511 +00:54:02,480 --> 00:54:05,540 +والكلام هو هنا كمان جاي الـ don't evaluate the + +512 +00:54:05,540 --> 00:54:09,660 +conosa أنا بهمني، أنا بدي أشوف هل بتعرف الـ GB شكل + +513 +00:54:09,660 --> 00:54:14,280 +الحل، والباقي روتيني، فاضل وقالوا سوى الطرفين واحسب + +514 +00:54:14,280 --> 00:54:17,960 +الـ conosa، هذا شغله روتيني، لكن العمود الفقري + +515 +00:54:17,960 --> 00:54:23,860 +هل بتعرف الـ GB اللي هو شكل الـ particular solution، + +516 +00:54:23,860 --> 00:54:29,070 +لأ هذا هو الأساس اللي عندنا طبعا باجي بقولك كويس + +517 +00:54:29,070 --> 00:54:33,030 +يبقى هذه homogeneous ولا non homogeneous؟ + +518 +00:54:41,820 --> 00:54:50,560 +يبقى لو جيت له solution يبقى لو جيت له solution + +519 +00:54:50,560 --> 00:54:54,560 +يبقى لو جيت له solution يبقى لو جيت له solution + +520 +00:54:54,560 --> 00:55:00,070 +يبقى لو جيت له solution مين الـ Y to the derivative + +521 +00:55:00,070 --> 00:55:06,850 +of 4 نقص تمانية YW prime زائد ستة عشر Y يساوي Zero + +522 +00:55:06,850 --> 00:55:12,890 +واللي فوق هي المعادلة رقم واحد تمام يبقى أنا أخدت + +523 +00:55:12,890 --> 00:55:18,070 +الـ homogenous وفرقت الحل يبقى بصير عندي شكل الـ + +524 +00:55:18,070 --> 00:55:27,890 +characteristic equation asR أُس أربع ناقص تمانية R + +525 +00:55:27,890 --> 00:55:32,530 +تربيع زائد ستاشر يساوي جدا كثير من البنات وأنا + +526 +00:55:32,530 --> 00:55:39,690 +بصلق بيحطول هنا ايش R تمام من وين R هي فيها مشتقة + +527 +00:55:39,690 --> 00:55:43,650 +فيها مافيش مشتقة مافيش R تمام يبقى دير بالك و + +528 +00:55:43,650 --> 00:55:51,250 +ركزوا كويسة يبقى صرف بالشكل لأن هذه عبارة عن R ناقص + +529 +00:55:51,250 --> 00:55:54,990 +أربعة لكل تربيع يساوي بقداش؟ Zero + +530 +00:56:04,920 --> 00:56:11,040 +إذا أنا عندي حلين والحلين كل واحد مكرر مرتين ليش؟ + +531 +00:56:11,040 --> 00:56:16,060 +أن القصة ده فرق بين المربعين R نقص اتنين في R + +532 +00:56:16,060 --> 00:56:25,400 +زائد اتنين الكل تربيع يبقى صار هذا R1 بده يساوي 2 + +533 +00:56:25,400 --> 00:56:35,500 +وهذا يساوي R2 يعني مكرر مرتين وR3 يساوي R4 يساوي + +534 +00:56:35,500 --> 00:56:42,230 +ناقص 2 كويس إذا بدي اجيب شكل الـ particular شكل الـ + +535 +00:56:42,230 --> 00:56:48,070 +homogeneous الـ solution اللي هو yc يساوي c واحد + +536 +00:56:48,070 --> 00:56:56,210 +زائد c اتنين t اي أَس 2 t مظبوط هيك؟ نيجي للي + +537 +00:56:56,210 --> 00:57:07,830 +بعد زائد c تلاتة c اربعة t اي أَس ناقص 2 t يبقى + +538 +00:57:07,830 --> 00:57:11,670 +هذا الشكل المهم حل الـ homogeneous differential + +539 +00:57:11,670 --> 00:57:16,690 +equation بنا نيجي للـ particular solution بروح بطلع + +540 +00:57:16,690 --> 00:57:24,610 +في شكل الـ G of T في شبه ما بينهم؟ أبدا يبقى حطر + +541 +00:57:24,610 --> 00:57:31,010 +أجزاء ايه المعادلة؟ إلى معادلتين فبروح بقول هنا the + +542 +00:57:31,010 --> 00:57:42,090 +differential equation one can be is written is + +543 +00:57:42,090 --> 00:57:48,890 +written as بروح بكتبها على الشكل التالي y to the + +544 +00:57:48,890 --> 00:57:57,260 +derivative four ناقص ثمانية Y W Prime زائد ستاشر Y + +545 +00:57:57,260 --> 00:58:06,040 +يساوي E أَس 2 T المعادلة الثانية هي نفسها ناقص + +546 +00:58:06,040 --> 00:58:14,680 +ثمانية Y W Prime زائد ستاشر Y يساوي T في E أَس ناقص + +547 +00:58:14,680 --> 00:58:27,670 +T إذا الـ Particular solution لهذه المعادلة يبدو + +548 +00:58:27,670 --> 00:58:33,670 +يساوي T to the power S هذه الـ exponential لحالها + +549 +00:58:33,670 --> 00:58:40,090 +يبقى في عندنا هنا كولونوميا الملددرجة الصفرية + +550 +00:58:40,090 --> 00:58:50,690 +بحط له constant فقط في E أَس 2T نجي لهذه capital Y2 + +551 +00:58:50,690 --> 00:58:56,350 +of T بده يساوي T to the power S فيه هذه هنا + +552 +00:58:56,350 --> 00:58:59,950 +polynomial من الدرجة الأولى يبقى حضر احط + +553 +00:58:59,950 --> 00:59:06,070 +polynomial من الدرجة الأولى يبقى A naught T زائد + +554 +00:59:06,070 --> 00:59:13,680 +A1 في E و 2 ناقص T بعد هيك بالدرجة احسب له S والـ S + +555 +00:59:13,680 --> 00:59:18,760 +هنا بقداش تساوي؟ باجي بطلع المقدار بين القوسين فيه + +556 +00:59:18,760 --> 00:59:24,600 +زي وفوق constant في E أَس اتنين في A موجود تمام + +557 +00:59:24,600 --> 00:59:29,810 +إذا بده أحط S بقداش؟ بواحد إذا لو حطيت S بواحد بصير + +558 +00:59:29,810 --> 00:59:36,630 +الحل A T في E واسي 2T يعني constant في T constant + +559 +00:59:36,630 --> 00:59:42,550 +في T في E واسي 2T موجود يبقى الـ S لا يمكن أن تساوي + +560 +00:59:42,550 --> 00:59:49,430 +واحد يبقى S بقداش تساوي؟ 2 يبقى هنا الـ S بدها + +561 +00:59:49,430 --> 00:59:56,810 +تساوي 2 يبقى بصير capital Y1 of T يبدو يساوي A + +562 +00:59:56,810 --> 01:00:03,110 +T تربيع E أَس 2 T نجي للتانية اللي عندنا هذه في + +563 +01:00:03,110 --> 01:00:08,670 +عند هنا E أَس ناقص T ما عنديش بالمرة أنا عندي E أَس + +564 +01:00:08,670 --> 01:00:12,850 +ناقص 2 T ما لي علاقة فيها أنا علاقتي بس في E + +565 +01:00:12,850 --> 01:00:20,500 +أَس ناقص T يبقى هنا الـ S بقداش؟ Zero يبقى هنا الـ S ما + +566 +01:00:20,500 --> 01:00:27,120 +دام سوى Zero يبقى capital Y of T يبقى A naught T + +567 +01:00:27,120 --> 01:00:33,280 +زائد A one في الـ E ناقص T قال لي في المثل بده + +568 +01:00:33,280 --> 01:00:38,080 +particular solution للمعادلة هذه يعني هذا مش لازم + +569 +01:00:38,080 --> 01:00:41,680 +له لكن أنا لازم ليه؟ فاضطرت أجيبه لأنه بده أجيب + +570 +01: + +601 +01:03:54,080 --> 01:04:01,130 +والله Euler يبقى بروح بحلها بأي طريقة تنشد وقدامي + +602 +01:04:01,130 --> 01:04:06,850 +كام طريقة؟ إثنتين يا إما بروح بحط التعويض X يساوي + +603 +01:04:06,850 --> 01:04:12,230 +E أس T إحدى الطرق يا إما بقول افترض.. بخليها زي + +604 +01:04:12,230 --> 01:04:16,090 +ما بقول افترض الحل Y تساوي X أس R و باخد X greater + +605 +01:04:16,090 --> 01:04:20,790 +than 0 وفي الآخر بحط الجواب بدلالة الـ absolute + +606 +01:04:20,790 --> 01:04:24,510 +value يبقى جبت الـ homogeneous ضال الـ non + +607 +01:04:24,510 --> 01:04:29,070 +homogeneous بروح بجسم كله على X تربيع وبروح + +608 +01:04:29,070 --> 01:04:33,570 +بستخدم ال variation of parameters يعني هناك طريقين + +609 +01:04:33,570 --> 01:04:39,610 +ولم أقيدك بأي طريقة لكن كان بإمكاني أقيدك أقول لك + +610 +01:04:39,610 --> 01:04:45,010 +استخدم التعويض X يساوي EOST to change the + +611 +01:04:45,010 --> 01:04:46,070 +differential equation + +612 +01:04:51,430 --> 01:04:57,650 +بمعاملات ثابتة ثم + +613 +01:04:57,650 --> 01:05:04,630 +أحل المعادلة + +614 +01:05:06,780 --> 01:05:11,180 +يبقى في هذه الحالة محولة بمعاملات ثابتة يمكن تطلع + +615 +01:05:11,180 --> 01:05:14,900 +بدها ال undetermined coefficients ويمكن ال + +616 +01:05:14,900 --> 01:05:18,820 +variation of parameters إذا إذا قيدك بدي اقتل + +617 +01:05:18,820 --> 01:05:23,800 +تازمي بما قيدتك فيه ما قيدكيش خلاص حلي بأي شغل + +618 +01:05:23,800 --> 01:05:28,440 +بدكيه يبقى المدّام ما قيدنيش يبقى خلاص سهلة صار + +619 +01:05:28,440 --> 01:05:32,020 +قدامي طريقين بس إذا قيدني ما اللي قداميش إلا آه + +620 +01:05:32,750 --> 01:05:38,050 +طريق واحد، ما أعرفش، ضاع السؤال، بس بعرف وبجيب + +621 +01:05:38,050 --> 01:05:43,690 +السؤال، لكن إذا ما قيّدناش، بصير كل الخيارات مفتوحة + +622 +01:05:43,690 --> 01:05:49,710 +زي ما يقول السياسيين يبقى أنا بدور الأسهل فآجي + +623 +01:05:49,710 --> 01:06:00,830 +بقول له الأسهل let y تساوي x plus r بـ solution of + +624 +01:06:00,830 --> 01:06:08,610 +طبعًا قبلها بقول له f الـ x greater than 0 يبقى بيه + +625 +01:06:08,610 --> 01:06:19,050 +solution of الـ X تربيع YW ناقص اثنين X Y Prime + +626 +01:06:19,050 --> 01:06:25,990 +زائد اثنين Y يساوي صفر then الـ + +627 +01:06:25,990 --> 01:06:37,320 +characteristic equation is R في R ناقص واحد ناقص + +628 +01:06:37,320 --> 01:06:46,360 +اثنين R زائد اثنين يساوي صفر أو بقدر أقول R تربيع + +629 +01:06:46,360 --> 01:06:52,920 +ناقص R ناقص اثنين R ناقص ثلاثة R زائد اثنين يساوي + +630 +01:06:52,920 --> 01:07:01,040 +صفر يبقى هذه بنحللها إلى قوسين ويساوي صفر هنا R + +631 +01:07:01,040 --> 01:07:07,440 +هنا R هنا واحد وهنا اثنين وهنا ناقص ناقص يبقى بناء + +632 +01:07:07,440 --> 01:07:13,760 +عليه أصبح R واحد يساوي واحد وR اثنين يساوي اثنين + +633 +01:07:13,760 --> 01:07:22,860 +يبقى شكل الحل على الشكل التالي YC بدّه يساوي C واحد + +634 +01:07:22,860 --> 01:07:30,510 +E از T آه لا مش E از T لا لا استني شوية C1 absolute + +635 +01:07:30,510 --> 01:07:38,830 +value لـ X أس واحد زائد C2 وهنا حطيت الـ absolute + +636 +01:07:38,830 --> 01:07:44,630 +والله ما حطيتهوش C2 لكن لسه هو ليه حطيّه؟ عشان نقول + +637 +01:07:44,630 --> 01:07:54,060 +كله محدش أحسن من من الثاني هذا لـ YC طبعًا الآن بدنا + +638 +01:07:54,060 --> 01:07:58,280 +نجيب الـ particular solution لكي نجيب الـ particular + +639 +01:07:58,280 --> 01:08:02,360 +solution بال variational parameters لازم يكون + +640 +01:08:02,360 --> 01:08:09,260 +المعامل هنا بقدّاش؟ واحد صحيح إذا بدّه يصير y w prime + +641 +01:08:09,260 --> 01:08:15,780 +ناقص اثنين على x في الـ y prime زائد اثنين على x + +642 +01:08:15,780 --> 01:08:24,700 +تربيع في الـ y بدّه يساوي الـ x في ln الـ x الآن الـ + +643 +01:08:24,700 --> 01:08:27,100 +particular solution + +644 +01:08:34,160 --> 01:08:42,180 +Solution as y as a function of t بدّه يساوي بدّه + +645 +01:08:42,180 --> 01:08:49,380 +أشيل c واحد وأحط مكانها u واحد يبقى u واحد as a + +646 +01:08:49,380 --> 01:08:54,420 +function of x في الـ x وبعد هيك بحط الـ absolute + +647 +01:08:54,420 --> 01:09:02,730 +زائد c اثنين الـ u اثنين of x في مين؟ في الـ X تربيع + +648 +01:09:02,730 --> 01:09:08,710 +بس بدّك تروح تجيب مين؟ الـ wronskian تبع الحلين يبقى + +649 +01:09:08,710 --> 01:09:15,570 +الـ wronskian تبع الحل الأول والحل الثاني بدّه يساوي + +650 +01:09:15,570 --> 01:09:23,110 +هذا X هذا X تربيع واحد اثنين X اثنين X تربيع ناقص + +651 +01:09:23,110 --> 01:09:29,820 +X تربيع وبدّه يساوي قدّاش؟ X تربيع فقط لا غير الآن + +652 +01:09:29,820 --> 01:09:36,420 +بدنا نجيب له من الـ U1 as a function of X يساوي ناقص + +653 +01:09:36,420 --> 01:09:45,020 +تكامل الـ Y2 في الـ G of X على الـ wronskian of X DX + +654 +01:09:45,020 --> 01:09:52,240 +يبقى ناقص تكامل Y2 هو عبارة عن X تربيع الـ G of X + +655 +01:09:52,240 --> 01:09:57,100 +وينك أجيب هذه الـ X في ln الـ X + +656 +01:10:03,510 --> 01:10:10,390 +هو يساوي تكامل X ln X DX + +657 +01:10:22,190 --> 01:10:28,230 +طيب ماشي مش مشكلة يبقى الـ X ln الـ X بيروح آخذ الـ U + +658 +01:10:28,230 --> 01:10:36,110 +تساوي ln الـ X والـ DV بدّه يساوي الـ X DX يبقى الـ DU + +659 +01:10:36,110 --> 01:10:43,490 +بواحد على X DX والـ V بـ X تربيع على من؟ على الاثنين + +660 +01:10:43,490 --> 01:10:53,520 +يبقى هذا الكلام U في V يبقى نصف X تربيع ln الـ X ناقص + +661 +01:10:53,520 --> 01:11:01,160 +تكامل V دالة U هذه الـ V وهذه اللي بيبقى نصف X DX + +662 +01:11:01,160 --> 01:11:07,980 +مظبوط يبقى هاي V X تربيع على اثنين دالة U بواحد + +663 +01:11:07,980 --> 01:11:14,800 +على X DX يبقى بدنا نعطيكي نتيجة دغري يبقى نصف X + +664 +01:11:14,800 --> 01:11:21,690 +تربيع في ln الـ X ناقص هذه النص في الخارج وبيبقى X + +665 +01:11:21,690 --> 01:11:27,950 +تربيع على X تكامله بـ X تربيع على اثنين يعني بصير + +666 +01:11:27,950 --> 01:11:35,910 +هذه X تربيع على أربعة تمام؟ بدنا نروح نجيب له U + +667 +01:11:35,910 --> 01:11:44,170 +اثنين يبقى u2 as a function of x تكامل y1 في g of x + +668 +01:11:44,170 --> 01:11:52,650 +على wronskian of x dx يبقى تكامل y1 هو بـ x والـ g of x + +669 +01:11:52,650 --> 01:12:02,270 +هيب X ln X على X تربيع DX يبقى تكامل ln الـ X DX + +670 +01:12:02,270 --> 01:12:08,390 +هذه الـ standard حسبناها في Calculus B فكانت X ln + +671 +01:12:08,390 --> 01:12:10,290 +X ناقص الـ X + +672 +01:12:19,620 --> 01:12:29,540 +هنا سالب هنا سالب هنا سالب هنا موجب هنا سالب هنا + +673 +01:12:29,540 --> 01:12:36,020 +موجب ماشي خلصنا بس لتحت سليمة مائة بالمائة أنا إن + +674 +01:12:36,020 --> 01:12:40,480 +خلصنا باجي هنا بشيل الـ U واحد وبحط قيمته بشيل الـ + +675 +01:12:40,480 --> 01:12:42,420 +U اثنين وبحط قيمته وبجبع + +676 +01:12:47,640 --> 01:12:51,660 +بكمل ولا خلاص؟ خلاص خلاص + +677 +01:13:08,630 --> 01:13:13,250 +الآن بنجي للسؤال اللي بعده اللي هو السؤال الكمبيوت + +678 +01:13:13,250 --> 01:13:18,990 +لا بلاس لـ T في U2 of T هذا إيش سوناها؟ شطبناها، + +679 +01:13:18,990 --> 01:13:24,730 +مظبوط؟ لإن هذا section ستة ثلاثة، مظبوط؟ يبقى + +680 +01:13:24,730 --> 01:13:28,970 +أنسب، بروح لنمر بيه، خمسة نمر بيه قال use Laplace + +681 +01:13:28,970 --> 01:13:32,410 +transform to solve the differential equation بدّه + +682 +01:13:32,410 --> 01:13:39,110 +نستخدم Laplace transform لحل المعادلة YW prime ناقص + +683 +01:13:39,110 --> 01:13:47,030 +y prime يساوي E of T في cos T والـ y عند الـ zero + +684 +01:13:47,030 --> 01:13:51,590 +بدها تساوي الـ y prime عند الـ zero بدها تساوي صفر + +685 +01:13:51,590 --> 01:13:59,270 +أظن هذا الشغل لليوم تمام لكن هو مشي لليوم وللمرة + +686 +01:13:59,270 --> 01:14:03,530 +الماضية فهذه اللي قبلها زي section 6 اثنين خدي + +687 +01:14:03,530 --> 01:14:08,950 +Laplace transform لثلاثة أطراف يبقى بيصير Laplace + +688 +01:14:08,950 --> 01:14:14,370 +transform لـ YW prime ناقص Laplace transform لـ Y + +689 +01:14:14,370 --> 01:14:21,700 +prime يبقى Laplace transform لـ Eost cos T هذا هو + +690 +01:14:21,700 --> 01:14:24,820 +S²YS + +691 +01:14:24,820 --> 01:14:29,080 +-SY₀ + +692 +01:14:29,080 --> 01:14:38,280 +-Y'-Y₀-SYS + +693 +01:14:38,280 --> 01:14:40,800 +-Y₀ + +694 +01:14:50,600 --> 01:14:56,560 +هذه يا بنات Y عند الـ 0 وهذه بـ 0 وعندك هذه كمان + +695 +01:14:56,560 --> 01:15:06,920 +بيبقى الـ Dash بـ 0 بيظل هذه يبقى S²-SYS + +696 +01:15:06,920 --> 01:15:12,620 +هذه كلها الطرف الشمالي والسعي بروح على الجدول على + +697 +01:15:12,620 --> 01:15:14,580 +الـ E أسطى + +698 +01:15:16,660 --> 01:15:22,320 +الـ E و S T في Cos T اللي + +699 +01:15:22,320 --> 01:15:28,280 +هو رقم كده؟ عشرة علمًا بأن الـ A والـ B بواحد + +700 +01:15:28,280 --> 01:15:37,660 +يبقى S ناقص واحد على S ناقص واحد لكل تربيع زي واحد + +701 +01:15:37,660 --> 01:15:47,420 +يبقى S ناقص واحد على S ناقص واحد لكل تربيع زائد + +702 +01:15:47,420 --> 01:15:54,840 +واحد طيب هذه الملات بقدر أقول هذه اللي هو S في S + +703 +01:15:54,840 --> 01:16:01,540 +ناقص واحد في capital Y of S بدّه يساوي S ناقص واحد + +704 +01:16:01,540 --> 01:16:07,050 +على S ناقص واحد لكل تربيع زائد مان زائد واحد أظن S + +705 +01:16:07,050 --> 01:16:12,210 +ناقص واحد مع S ناقص واحد مع السلامة يبقى بيصير + +706 +01:16:12,210 --> 01:16:20,910 +capital Y of S بدّه يساوي بدّه يساوي واحد على مين + +707 +01:16:20,910 --> 01:16:28,880 +على S هذه لو جيت فكتها ما نعش بصير S تربيع ناقص اثنين + +708 +01:16:28,880 --> 01:16:37,220 +S زائد زائد واحد زائد اثنين يبقى S تربيع ناقص + +709 +01:16:37,220 --> 01:16:44,480 +اثنين S زائد اثنين بدّك تعملي لها partial fraction + +710 +01:16:44,480 --> 01:16:51,690 +وبروح بنكمّل يبقى بصير capital Y of S بيساوي A على S + +711 +01:16:51,690 --> 01:16:59,690 +زائد B S زائد C على S تربيع ناقص اثنين S زائد اثنين + +712 +01:16:59,690 --> 01:17:04,570 +وعملت لك واحدة زيها من خلال الأمثلة في section 6 2 + +713 +01:17:04,570 --> 01:17:10,590 +بالذات تمام يبقى بنكمّل وبنجيب ال plus and minus + +714 +01:17:10,590 --> 01:17:17,950 +بيكون حصلنا على مين؟ على الحل آخر سؤال بيقول استخدم + +715 +01:17:17,950 --> 01:17:23,010 +ال series solution مشان أتحل هذا حولين الـ + +716 +01:17:23,010 --> 01:17:25,170 +ordinary point + +717 +01:17:37,700 --> 01:17:42,660 +آخر سؤال حل المعادلات التفاضلية باستخدام + +718 +01:17:42,660 --> 01:17:53,460 +المتتسلللات ما طيّن المعادلة التفاضلية بنات Y'' زائد + +719 +01:17:53,460 --> 01:17:57,320 +2XY بيبقى يساوي 0 + +720 +01:18:10,920 --> 01:18:21,360 +إن زائد اثنين يساوي ناقص اثنين إن ناقص واحد على إن + +721 +01:18:21,360 --> 01:18:29,000 +زائد واحد في مين؟ في إن زائد تمام and then use it + +722 +01:18:29,000 --> 01:18:31,300 +to find the serious solution of the given + +723 +01:18:31,300 --> 01:18:38,700 +differential equation ويكون هكذا خلص الامتحان تمام؟ + +724 +01:18:38,700 --> 01:18:45,350 +طيب أنا إذا معايا وقت زي ما تلاحظين فيه وقت فيه وقت + +725 +01:18:45,350 --> 01:18:50,330 +فطلبت جيبي الحل كاملًا إذا عندي أسئلة كتيرة بقوم + +726 +01:18:50,330 --> 01:18:55,230 +باختصار النص بقول لك find the recurrence relation of + +727 +01:18:55,230 --> 01:18:58,510 +the differential equation هدي وبسكت عند النقطة + +728 +01:18:58,510 --> 01:19:03,310 +الفلانية وبعطيك نقطة ماشي يعني بدّك إياك تجيبي لهذَا + +729 +01:19:03,310 --> 01:19:08,060 +وتوقفي مش تروحي تجيبي لهذَا وتكمّلي لو أجبت لك سؤال + +730 +01:19:08,060 --> 01:19:11,360 +بدّك تدقّقي كويس إذا قلت لك هاتي لي الـ series + +731 +01:19:11,360 --> 01:19:15,140 +solution أو هذا مطلوب مطلوبين المطلوب لو قلت لك + +732 +01:19:15,140 --> 01:19:20,400 +أثبتي لي أن aric current relation هذه هي طبعًا بتروحي + +733 +01:19:20,400 --> 01:19:25,760 +تشتقي مرة ومرتين وتعوضي وتغيّري الـ index تبع الـ + +734 +01:19:25,760 --> 01:19:29,720 +summation وتعملي مقارنة بين الطرفين بوصلي للمعادلة + +735 +01:19:29,720 --> 01:19:36,510 +هذه مظبوط طيب ما عرفتش أوصل لها بسيبها وبروح باخد + +736 +01:19:36,510 --> 01:19:40,010 +هذه وبكمّل لإن أنا ما قدرت اتفضل يبقى هذه الصح واللي + +737 +01:19:40,010 --> 01:19:43,850 +ما قدرت اجيبها هي غلط ما قدرت أنا بحط علامات + +738 +01:19:43,850 --> 01:19:49,680 +على قدّاش حاولتي؟ لوين وصلتي؟ تمام؟ ما وصلتيش نتيجة مش + +739 +01:19:49,680 --> 01:19:53,780 +اللي جبتيها غلط روحي اتكمّلي بقى لا بروح باخد الصح + +740 +01:19:53,780 --> 01:19:57,760 +هذه وبتكمّلي بقى لجتك بتعرف تكمّلي بهذا خلاص يبقى + +741 +01:19:57,760 --> 01:20:01,300 +بتاخدي بقى جالع المبتلغ ماراحش عليك كتير يبقى أنا + +742 +01:20:01,300 --> 01:20:05,580 +غشتك لكن لو روحي تقولي فيك you will see the solution + +743 +01:20:05,580 --> 01:20:09,600 +to solve the differential equation about x not + +744 +01:20:09,600 --> 01:20:14,800 +تساوي صفر وسكت يبقى لحالك وزيك تروحي تجيبي الـ + +745 +01:20:14,800 --> 01:20:18,360 +recurrence relation وأنت مش عارف إيه صح ولا غلط، + +746 +01:20:18,360 --> 01:20:21,860 +بس لما أقول لك show that يعني كان يبقى تفضلي هيي + +747 +01:20:21,860 --> 01:20:27,100 +الجواب بسطة ليلية، تمام؟ يبقى مش هريّاحلك يكون وإن + +748 +01:20:27,100 --> 01:20:32,280 +قلت لك هاتي و سكت، يبقى جيبيه واللي بتجيبيه هو إليك + +749 +01:20:32,830 --> 01:20:39,610 +خلصنا؟ يبقى بدّك تروحي تفرضي الحل على الصيغة Y تساوي + +750 +01:20:39,610 --> 01:20:48,230 +summation من N equal zero to infinity لمن؟ للـ A N + +751 +01:20:48,370 --> 01:20:53,790 +للـ X to the power n ليش؟ لأن X node بـ Zero لكن + +752 +01:20:53,790 --> 01:20:57,310 +لو قالي X node بواحد والله اثنين والله ثلاثة + +753 +01:20:57,310 --> 01:21:03,210 +بروحي بقول له X ناقص واحد كله أسن وبروح بشتغل مرتين + +754 +01:21:03,210 --> 01:21:06,470 +وبغير الـ shift للـ index وبجيب له recurrence + +755 +01:21:06,470 --> 01:21:10,990 +relation بعد هيك بعوّض مرة باثنين مرة بثلاثة مرة + +756 +01:21:10,990 --> 01:21:12,710 +بأربعة مرة بخمسة في الـ + +757 +01:21:17,330 --> 01:21:22,750 +لو طلبه إذا بتقدري اجيبي شكل الحد النوني أهلًا وسهلًا + +758 +01:21:22,750 --> 01:21:27,330 +بتقدريش بس جيبي لي أول مجموع أول a1 في أول ثلاثة + +759 +01:21:27,330 --> 01:21:30,930 +حدود والله يعطيك العافية + +760 +01:21:30,930 --> 01:21:34,110 +إذا كان مش قادر اجيبي شكل الحد النوني يبقى هي + +761 +01:21:34,110 --> 01:21:37,630 +serious زي ما أنت طلبته جيبت لك مجموع اللي هو + +762 +01:21:37,630 --> 01:21:44,540 +two terms تمام؟ لحد هنا stop انتهينا من الامتحان و + +763 +01:21:44,540 --> 01:21:48,580 +هذا الامتحان كان خاص إيه بلا واحد ما حدا كان شريكي + +764 +01:21:48,580 --> 01:21:53,760 +في المادة تمام؟ بس المرة دي إيه الشريك؟ زي ما قلت + +765 +01:21:53,760 --> 01:21:58,140 +تواسيها بالنيام مشترك يعني أنتم اقترحتم علم أن + +766 +01:21:58,140 --> 01:22:04,300 +إحنا متفقين نكون شركة برضه حدّ بتسأل أي سؤال في ما + +767 +01:22:04,300 --> 01:22:05,440 +فات؟ + diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/p2HJ4Qe0scU_postprocess.srt b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/p2HJ4Qe0scU_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..ea8d9e8f8a6ba565cde9ec0070324f7d92139b5a --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/p2HJ4Qe0scU_postprocess.srt @@ -0,0 +1,3068 @@ +1 +00:00:00,000 --> 00:00:02,540 +موسيقى + +2 +00:00:10,750 --> 00:00:15,630 +بسم الله الرحمن الرحيم للمرة اللى فاتت اخدنا + +3 +00:00:15,630 --> 00:00:20,670 +section 6 3 اللى كان بتحدث عن ال step function او + +4 +00:00:20,670 --> 00:00:24,970 +ال unit step function اليوم ان شاء الله هنستخدم ال + +5 +00:00:24,970 --> 00:00:29,710 +unit step function فى حل المعادلات التفاضلية + +6 +00:00:30,140 --> 00:00:32,940 +العنوان اللى هرافعه هو differential equations with + +7 +00:00:32,940 --> 00:00:37,000 +discontinuous functions يبقى احنا بدنا نحل + +8 +00:00:37,000 --> 00:00:41,120 +المعادلة التفاضلية اللى بتبقى non-homogeneous + +9 +00:00:41,120 --> 00:00:44,860 +differential equation بعدها الطرف اليمين من هذه + +10 +00:00:44,860 --> 00:00:49,740 +المعادلة يكون discontinuous function تمام او + +11 +00:00:49,740 --> 00:00:55,580 +انشرتهم فقولوا piecewise continuous functionيقول + +12 +00:00:55,580 --> 00:00:59,160 +حل الأمر الـ initial value problem على الشكل + +13 +00:00:59,160 --> 00:01:04,920 +التالي yw' زائد y يسوى f of t y عند 0 يسوى 0 و y + +14 +00:01:04,920 --> 00:01:12,020 +عند 0 يسوى 1 شكل f of t هي عبارة عن ذلة مكونة من + +15 +00:01:12,020 --> 00:01:16,240 +جزئين تسوى 1 عندما t محصورة بين 0 و πاية على 2 + +16 +00:01:16,240 --> 00:01:22,880 +وتسوى 0 عندما t أكبر من أو تسوى باية على 2 و أقل + +17 +00:01:22,880 --> 00:01:27,860 +من infinityكان ممكن اكتب هذه بس ان T اكبر من او + +18 +00:01:27,860 --> 00:01:33,020 +يساوي باية اتنين واسكت فنصرت بهذه الصيانة و الله + +19 +00:01:33,020 --> 00:01:37,680 +جلت T اكبر من او يساوي باية اتنين لاتنين are the + +20 +00:01:37,680 --> 00:01:41,760 +same يعني ما حددتش قيود ل T بعد ذلك كل القيادة + +21 +00:01:41,760 --> 00:01:45,130 +اللي حطيتها انها اكبر من او تساوي باية اتنينأيش؟ + +22 +00:01:45,130 --> 00:01:49,550 +مابدأ أخد أكبر منه لغاية infinity تمام؟ بقول كويس + +23 +00:01:49,550 --> 00:01:52,430 +طبعا اللي مابدأ أخد لأ بلاس ال transform لأ ده ده + +24 +00:01:52,430 --> 00:01:56,270 +اللي مابدأ أخد لأ بلاس لل F of T F of T عبارة عن + +25 +00:01:56,270 --> 00:01:59,090 +جزئين معناته بدي أروحها كامل، لا أنا مابديش أكامل + +26 +00:01:59,090 --> 00:02:03,470 +أنا بدي أستخدم الجدول اللي بين أيدنا أو أستخدم + +27 +00:02:03,470 --> 00:02:09,810 +نظرية المرة الماضية بدي أقول كويس، إذا بدي أعيد + +28 +00:02:09,810 --> 00:02:15,910 +صياغة هذه ال function بشكل جديدبقول كويس، السؤال + +29 +00:02:15,910 --> 00:02:21,230 +هو أليست هذه يا بنات هي المثال الأول في المحاضرة + +30 +00:02:21,230 --> 00:02:27,930 +الماضية؟ طلعوا فيه، شوفوا المحاضرة + +31 +00:02:27,930 --> 00:02:31,590 +الماضية أول مثال بعد ما عرفنا ال unit step + +32 +00:02:31,590 --> 00:02:38,370 +function ورسمنا الرسمتين، السؤال اللي بعده؟أو حتى + +33 +00:02:38,370 --> 00:02:44,130 +مش هال لأ لأ أول سؤال، رسمة أول سؤال كانش واحد + +34 +00:02:44,130 --> 00:02:50,050 +ناقص U C of T، مظبوط؟ ال C أجب أكانها بس Pi على + +35 +00:02:50,050 --> 00:02:53,910 +اتنين، يبقى هو نفس السؤال، إذا هذه من المرة + +36 +00:02:53,910 --> 00:03:01,330 +الماضية ال F of T هي عبارة عن واحد ناقص U Pi على + +37 +00:03:01,330 --> 00:03:06,020 +اتنين as a function of Tالمعادلة الماضية المثالي + +38 +00:03:06,020 --> 00:03:10,680 +الأول صحيح ولا لأ مش كانت على الشكل هذا بس بدل بي + +39 +00:03:10,680 --> 00:03:14,360 +على اتنين كانت C إذا بدي اعتبر C بي على اتنين و + +40 +00:03:14,360 --> 00:03:18,120 +اشتغل الشغل اللي عندنا هذا يبقى بناء عليه أصبحت + +41 +00:03:18,120 --> 00:03:23,540 +المعادلة تفاضلية Y double prime زائد Y سوى واحد + +42 +00:03:23,540 --> 00:03:30,840 +ناقص U بي على اتنين as a function of Tالان بناخد + +43 +00:03:30,840 --> 00:03:37,100 +لبلاس لمن؟ للطرفين يبقى لبلاس transform لل y + +44 +00:03:37,100 --> 00:03:42,920 +double prime زائد لبلاس transform لل y لأن لبلاس + +45 +00:03:42,920 --> 00:03:50,100 +linear بده يساوي لبلاس للواحد الصحيح ناقص لبلاس ل + +46 +00:03:50,100 --> 00:03:57,880 +u pi على 2 as a function of tهذه اخدنا لها نظرية + +47 +00:03:57,880 --> 00:04:04,300 +كانت بتقولي هذه عبارة عن S square capital Y of S + +48 +00:04:04,300 --> 00:04:12,020 +ناقص S في Y and Zero ناقص Y prime and Zero مش هي + +49 +00:04:12,020 --> 00:04:16,320 +كان نفس النظرية وصلنا للا plus لل Y اللي هو + +50 +00:04:16,320 --> 00:04:23,710 +capital Y of Sعلى اليمين هذه Laplace إذا مذاكرينها + +51 +00:04:23,710 --> 00:04:27,510 +حسبناها قبل مش مذاكرينها بروح على الجدول مباشرة + +52 +00:04:27,510 --> 00:04:33,550 +يبقى Laplace الواحد بقداش؟ بواحد على اس Laplace ل + +53 +00:04:33,550 --> 00:04:40,790 +U باي على اتنين as a function of T ل E أص ناقص باي + +54 +00:04:40,790 --> 00:04:48,280 +على اتنين S على Sمظبوط يا بنات؟ برضه حسبناها المرة + +55 +00:04:48,280 --> 00:04:52,400 +اللى فاتت يبقى ل C بدل بي ع اتنين كانت C يبقى + +56 +00:04:52,400 --> 00:04:56,760 +شيلنا C وحطينا ان كان بي ع الأتنين يبقى أخدت لألا + +57 +00:04:56,760 --> 00:05:01,720 +plus transform للطرفين مضلش عليه إلا أجمع و أشوف + +58 +00:05:01,720 --> 00:05:05,630 +إيش اللي بيصيربالطبع كابتن ال Y of S هي واحدة و هي + +59 +00:05:05,630 --> 00:05:10,950 +التانية مافيش غيرهم يبقى S squared plus one كله في + +60 +00:05:10,950 --> 00:05:16,330 +كابتن ال Y of S ال Y عندي Zero كله يبقى الداشر ب + +61 +00:05:16,330 --> 00:05:23,300 +Zero يبقى هذا ناقص Zero ناقص واحدتمام خلصنا الشجة + +62 +00:05:23,300 --> 00:05:30,500 +دي بدها تساوي واحد على اس ناقص اي أس ناقص باي على + +63 +00:05:30,500 --> 00:05:37,120 +اتنين اس على اس و نقلي الواحد على الشجة التانية + +64 +00:05:37,120 --> 00:05:45,990 +بصير اس سكويرplus one في capital Y of S بده يساوي + +65 +00:05:45,990 --> 00:05:56,330 +واحد زائد واحد على S ناقص EOS ناقص باي على اتنين S + +66 +00:05:56,750 --> 00:06:04,230 +كله على S نجسم كله على S تربية زائد واحد بكون حصلت + +67 +00:06:04,230 --> 00:06:09,650 +على الابلاس transform لمين لحل المعادلة التفاضلية + +68 +00:06:09,650 --> 00:06:17,690 +لو capital Y of S بده يساوي واحد على S تربية زائد + +69 +00:06:17,690 --> 00:06:25,470 +واحد زائد واحد على S في S تربية زائد واحد + +70 +00:06:39,410 --> 00:06:44,550 +يبقى انا الان بهذا حصلت على Laplace transform لل + +71 +00:06:44,550 --> 00:06:49,130 +solution بد ال solution يبقى باخد Laplace inverse + +72 +00:06:49,130 --> 00:06:54,010 +لمين للطرفين بس لو روحت في الجدول لا بلاقي هذه ولا + +73 +00:06:54,010 --> 00:06:59,370 +بلاقي هذهلكن بقدر اعمل اتماشي partial fractions + +74 +00:06:59,370 --> 00:07:04,790 +تحليل كصور جزئية و احلل بدل ما هو كسر واحد اخليه + +75 +00:07:04,790 --> 00:07:11,210 +كسرين و نشوف ايش اللي بده يصير اذا لو جيت هنا واحد + +76 +00:07:11,210 --> 00:07:17,150 +على اس في اس تربية زائد واحد بنقدر نحلل اكتر من + +77 +00:07:17,150 --> 00:07:22,570 +ذلك والله جاهزين احناجاهزين؟ هذه من الدرجة الثانية + +78 +00:07:22,570 --> 00:07:25,930 +ولا يمكن تحليلها في ال real وهذه من الدرجة الأولى + +79 +00:07:25,930 --> 00:07:30,970 +انتهينا منها يبقى بقدر أقول هذه constant على S + +80 +00:07:30,970 --> 00:07:40,130 +وهذه BS زائد C على S square plus one نضرب الطرفين + +81 +00:07:40,130 --> 00:07:45,830 +في المقام اللي عندنا هذا بصير عندنا واحد يساوي A + +82 +00:07:45,830 --> 00:07:53,990 +في S square plus oneزائد الـB S زائد الـC كله في + +83 +00:07:53,990 --> 00:07:59,450 +من؟ في الـS اللي عندنا هذه يعني بصير ايه؟ بصير + +84 +00:07:59,450 --> 00:08:10,110 +واحد بده يساوي AS² زائد الـAزائد B S Square زائد C + +85 +00:08:10,110 --> 00:08:18,310 +S او ان شئتولنا فقولنا هذه A زائد B A زائد ال B + +86 +00:08:18,310 --> 00:08:26,930 +كله في S Square زائد C في ال S مافيش عندي غيرها + +87 +00:08:26,930 --> 00:08:34,730 +زائد ال constant Aالان لو قارنت المعاملات في + +88 +00:08:34,730 --> 00:08:41,450 +الطرفين بحصل على ايه؟ يبقى ايه بقداش يا بنات؟ واحد + +89 +00:08:41,450 --> 00:08:49,250 +تمام انتهينا منها و C تساوي Zero تمام تمام و نجي + +90 +00:08:49,250 --> 00:08:57,540 +ال A زائد ال Bيعني الـA عندي بواحد يبقى B بسالب + +91 +00:08:57,540 --> 00:09:02,240 +واحد تمام تمام إذا صار ال partial fraction اللي + +92 +00:09:02,240 --> 00:09:07,720 +هادي على الشكل التالي واحد على S في S square plus + +93 +00:09:07,720 --> 00:09:14,920 +one يساويالـ A بواحد يبقى واحد على S الان سيب زيرو + +94 +00:09:14,920 --> 00:09:19,640 +مع السلام الله سهل عليه ال P بسالب واحد يبقى سالب + +95 +00:09:19,640 --> 00:09:29,100 +S على S square plus one إذا صار هذا capital Y as a + +96 +00:09:29,100 --> 00:09:35,760 +function of S على الشكل التالي وانها يفوق يبقى هذه + +97 +00:09:35,760 --> 00:09:43,470 +لو جيت حللتها هي عبارة عن واحدعلى S ناقص S على S + +98 +00:09:43,470 --> 00:09:48,690 +تربية زيادة واحد اللي هي التانية الأولى هذه زيادة + +99 +00:09:48,690 --> 00:09:54,150 +واحدة على S تربية زيادة واحدة يبقى خلصتني اتنين + +100 +00:09:54,150 --> 00:09:59,790 +هدول باي لعندي اتنين هذه طلعي في هذه هنا سبقها + +101 +00:09:59,790 --> 00:10:09,000 +ناقص يبقى ناقص E أسالف باي على اتنين S على Sتمام؟ + +102 +00:10:09,000 --> 00:10:14,980 +الان ناقص بنتيجة لناقص هذا ايش بيصير؟ زائد وهو هذه + +103 +00:10:14,980 --> 00:10:25,060 +E أس ناقص باي على اتنين S في مين؟ في S على S تربيع + +104 +00:10:25,060 --> 00:10:30,280 +زائد واحد تمام؟ + +105 +00:10:30,280 --> 00:10:34,880 +اذا انا بدي الحل خلاص مش ضايل اللي اجيبله مني الحل + +106 +00:10:34,880 --> 00:10:36,880 +فبجي بقوله ذا + +107 +00:10:47,370 --> 00:10:55,140 +خلّي بالك هناY of T يساوي يعني بتاخد plus inverse + +108 +00:10:55,140 --> 00:10:59,060 +هنا plus inverse هنا plus inverse هنا plus inverse + +109 +00:10:59,060 --> 00:11:00,080 +هنا plus inverse هنا plus inverse هنا plus inverse + +110 +00:11:00,080 --> 00:11:01,600 +هنا plus inverse هنا plus inverse هنا plus inverse + +111 +00:11:01,600 --> 00:11:01,700 +هنا plus inverse هنا plus inverse هنا plus inverse + +112 +00:11:01,700 --> 00:11:01,760 +هنا plus inverse هنا plus inverse هنا plus inverse + +113 +00:11:01,760 --> 00:11:03,060 +هنا plus inverse هنا plus inverse هي plus inverse + +114 +00:11:03,060 --> 00:11:04,960 +هي plus inverse هي plus inverse هي plus inverse هي + +115 +00:11:04,960 --> 00:11:05,040 +plus inverse هي plus inverse هي plus inverse هي + +116 +00:11:05,040 --> 00:11:06,560 +plus inverse هي plus inverse هي plus inverse هي + +117 +00:11:06,560 --> 00:11:06,580 +plus inverse هي plus inverse هي plus inverse هي + +118 +00:11:06,580 --> 00:11:06,780 +plus inverse هي plus inverse هي plus inverse هي + +119 +00:11:06,780 --> 00:11:08,540 +plus inverse هي plus inverse هي plus inverse هي + +120 +00:11:08,540 --> 00:11:14,990 +plus inverseيبقى في الجدول طلعيلي علخ على ستة، + +121 +00:11:14,990 --> 00:11:22,730 +مظبوط؟ هي ستة ولا لا؟ صح؟ وين كتابك؟ وين ورق اللي + +122 +00:11:22,730 --> 00:11:27,050 +وزعت عليه كل مرة؟ اللي في أي موب أي كتاب؟ يبقى + +123 +00:11:27,050 --> 00:11:28,630 +يفتح صحة 319 + +124 +00:11:35,090 --> 00:11:41,650 +يبقى ستة اليمن كوصين A T بيسوي S علي S تربيع زائد + +125 +00:11:41,650 --> 00:11:49,110 +A تربيع ال A عندى بقداش A بواحد يبقى دى فقط كوصين + +126 +00:11:49,110 --> 00:11:53,290 +T يبقى ناقص كوصين T + +127 +00:12:00,860 --> 00:12:11,560 +يبقى هنا ناقص يبقى + +128 +00:12:11,560 --> 00:12:15,780 +هنا ناقص يبقى هنا ناقص + +129 +00:12:22,270 --> 00:12:29,050 +هذه او هذه او هذه او هذه او + +130 +00:12:29,050 --> 00:12:32,750 +هذه + +131 +00:12:32,750 --> 00:12:33,210 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +132 +00:12:33,210 --> 00:12:36,390 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +133 +00:12:36,390 --> 00:12:37,370 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +134 +00:12:37,370 --> 00:12:37,610 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +135 +00:12:37,610 --> 00:12:38,270 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +136 +00:12:38,270 --> 00:12:38,430 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +137 +00:12:38,430 --> 00:12:38,850 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +138 +00:12:38,850 --> 00:12:39,130 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +139 +00:12:39,130 --> 00:12:40,210 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +140 +00:12:40,210 --> 00:12:43,290 +او هذه او هذه او هذه او هذه او هذه او هذه او هذه + +141 +00:12:48,230 --> 00:12:54,190 +بدي اعيد صياغتها مرة تانية يبقى ال Y as a function + +142 +00:12:54,190 --> 00:13:03,930 +of T يبقى واحد + +143 +00:13:03,930 --> 00:13:06,290 +ناقص cos T + +144 +00:13:19,510 --> 00:13:24,970 +نرجع بالذاكرة الى الوراق في الهامش لحساب المثلثات + +145 +00:13:24,970 --> 00:13:32,690 +هذه cos t cos pi على 2اللي إشارة ناقص بصير زائد + +146 +00:13:32,690 --> 00:13:39,270 +صين ات صين باي على اتنين كوصين باي على اتنين + +147 +00:13:39,270 --> 00:13:44,150 +مقداش؟ Zero صين باي على اتنين مقداش؟ إذا بقدر + +148 +00:13:44,150 --> 00:13:49,270 +أشيلها و أكتب بدلها بصين اتيعني بدل ما كانت cosine + +149 +00:13:49,270 --> 00:13:55,710 +T نقص بي على اتنين يبقى بكتب بدلها sine T يعني لو + +150 +00:13:55,710 --> 00:13:59,990 +روحتي على الكتاب يمكن تلاقي الإجابة هذه ويمكن + +151 +00:13:59,990 --> 00:14:04,310 +تلاقي الإجابة هذه والاتنين are the same يبقى أي + +152 +00:14:04,310 --> 00:14:09,610 +إجابة من الإجابتين صحيحة وما عليها مشكلة + +153 +00:14:26,900 --> 00:14:38,300 +مثال رقم اتنين بيقول + +154 +00:14:38,300 --> 00:14:49,390 +لي ال YW primeزائد اربعة y يساوي sin t ناقص u + +155 +00:14:49,390 --> 00:15:00,550 +اتنين by as a function of t في sin t ناقص اتنين by + +156 +00:15:00,550 --> 00:15:06,690 +اتنين by بالشكل اللي عندنا هنا تمام و قال لي ان ال + +157 +00:15:06,690 --> 00:15:14,020 +y عند ال zeroبدا تساوي Y' عند الـ Zero بدا تساوي + +158 +00:15:14,020 --> 00:15:20,120 +من؟ بدا تساوي Zero كويس يبقى التكتيك اللي بدأت + +159 +00:15:20,120 --> 00:15:23,940 +بتاوي بدأ بدابو معناه انت بتروح اخد main ل plus + +160 +00:15:23,940 --> 00:15:27,800 +transform للطرفين بس مش محتاج هذه ألعب في شكل + +161 +00:15:28,070 --> 00:15:33,510 +المعادلة لإنه جاهزة وخالصة تمام يبقى باجي بيقول له + +162 +00:15:33,510 --> 00:15:38,850 +Laplace transform لل Y double prime زائد أربعة + +163 +00:15:38,850 --> 00:15:44,650 +Laplace transform لل Y بديساوي Laplace transform + +164 +00:15:44,650 --> 00:15:52,330 +لل side T ناقص Laplace transform ل U اتنين by as a + +165 +00:15:52,330 --> 00:16:01,480 +function of T في ال sideت ناقص اتنين باقي الشكل + +166 +00:16:01,480 --> 00:16:08,820 +اللي عندنا هذا وهيقفلنا طيب هذا بنات ل S square + +167 +00:16:08,820 --> 00:16:16,220 +capital Y of S ناقص S في ال Y عند ال zero ناقص Y + +168 +00:16:16,220 --> 00:16:22,600 +prime عند ال zero زائد اربعة capital Y of S يساوي + +169 +00:16:23,490 --> 00:16:29,350 +بدا يجي لـ plus لـ sin T توسعها هنا اللي هو جداش + +170 +00:16:29,350 --> 00:16:37,050 +واحد على استر بيه زائد واحدتمام؟ ناقص ل plus + +171 +00:16:37,050 --> 00:16:44,770 +transform ل U اتنين by T sine T يعني E أُس ناقص + +172 +00:16:44,770 --> 00:16:52,730 +اتنين by S في ال plus ل sine T، مظبوط؟ يعني اللي + +173 +00:16:52,730 --> 00:17:01,120 +هو جداش اللي هو واحد على S تربيه زائد واحدهذا يعني + +174 +00:17:01,120 --> 00:17:06,500 +ان انا مرة تانية من نظرية المرة الماضية النقطة + +175 +00:17:06,500 --> 00:17:11,400 +الأولى فيها بقدر اقول E أس نقص اتنين by S فاهمين؟ + +176 +00:17:11,400 --> 00:17:14,980 +واحدة لاستر بيهذا طيب انا مش مذاكر النظرية المرة + +177 +00:17:14,980 --> 00:17:20,640 +اللي فاتتلكن بين إيديمين الجدول هل بنقدر نطلعها من + +178 +00:17:20,640 --> 00:17:26,280 +الجدول ولا لأ إذا بادر أروح أدور على U C of T Sine + +179 +00:17:26,280 --> 00:17:32,780 +T ناقص ال C فاللي عارفين اللي هي تلتاش مظبوط تلتاش + +180 +00:17:32,780 --> 00:17:39,420 +إيش بتقول U C of T فال F of T ناقص ال C بقدر نطبق + +181 +00:17:39,420 --> 00:17:42,700 +على ال Sine و ال Cos و ال T و مين ما كانت تكون أي + +182 +00:17:42,700 --> 00:17:47,390 +دالةمظبوط يبقى Laplace transform لها على الشجة + +183 +00:17:47,390 --> 00:17:53,290 +اليمين اللي هو EOS ناقص CS في capital F of S اللي + +184 +00:17:53,290 --> 00:17:58,070 +رقم تلتاشر يبقى ناقص يبقى مش لازم ان اضايق المرة + +185 +00:17:58,070 --> 00:18:01,390 +اللي فاتت لأنه صارت موجودة وين عندي في الجدول اذا + +186 +00:18:01,390 --> 00:18:07,590 +بجيبها من الجدول هيقولنا EOS ناقص اتنين by S في + +187 +00:18:07,590 --> 00:18:11,690 +capital F of S يعني Laplace لل function اللي عندي + +188 +00:18:11,880 --> 00:18:16,620 +الفنكشن اليمين عندي اللي هي sin t يعني لبلاس ل sin + +189 +00:18:16,620 --> 00:18:20,520 +t وانسى موضوع ال shift يبقى لبلاس ل sin t هو واحد + +190 +00:18:20,520 --> 00:18:25,020 +على اس تربية زائد واحد يبقى أخدنا لبلاس للطرفين + +191 +00:18:25,020 --> 00:18:30,260 +ضال الشغل اللي بعد هي شغل روتيني بدنا نروح نشتغل + +192 +00:18:30,260 --> 00:18:34,540 +هذا الشغل الروتيني ونشوف بدنا نوصل لوين + +193 +00:18:51,160 --> 00:18:56,200 +طيب الان y عند ال zero ب zero و y prime ب zero + +194 +00:18:56,200 --> 00:19:01,790 +يبقى هدول الله يسهل عليهميبقى بطولة عن دمين S2 + +195 +00:19:01,790 --> 00:19:10,490 +plus 4 في capital Y of S بده يساوي واحد على S2 + +196 +00:19:10,490 --> 00:19:19,510 +زائد واحد ناقص E أس ناقص اتنين by S في واحد على S2 + +197 +00:19:19,510 --> 00:19:26,190 +زائد الواحدأنا بدي اللي هو Laplace للحل يبقى بدي + +198 +00:19:26,190 --> 00:19:31,530 +capital Y of S يبقى هاي capital Y of S لحالها + +199 +00:19:31,530 --> 00:19:36,350 +معناته بدي أقسم الطرفين على مين على S square plus + +200 +00:19:36,350 --> 00:19:45,040 +four يبقى هذه بدي تساوي واحدعلى s² plus one في s² + +201 +00:19:45,040 --> 00:19:54,060 +plus four ناقص EOS ناقص اتنين by S في واحد على s² + +202 +00:19:54,060 --> 00:19:58,120 +plus one في s² plus four + +203 +00:20:06,710 --> 00:20:12,850 +لذلك سنضطر إلى عمل partial fraction لمهم للكاسر + +204 +00:20:12,850 --> 00:20:17,430 +اللى عندنا هذا ونشوف وين بده يوصلناإذا لو جيت + +205 +00:20:17,430 --> 00:20:25,270 +للواحد على S² plus one في S² plus four يبقى هذا + +206 +00:20:25,270 --> 00:20:33,050 +الكلام بده يساوي هذا ال S² plus one وهنا ال S² + +207 +00:20:33,050 --> 00:20:39,750 +plus four يعني المقام هذا لا يمكن تحليله أكثر من + +208 +00:20:39,750 --> 00:20:44,780 +ذلكهذه polynomial من الدرجة الثانية، إذا بدي أضع + +209 +00:20:44,780 --> 00:20:50,120 +البصد polynomial من الدرجة الأولى، يبقى بروح بقوله + +210 +00:20:50,120 --> 00:20:55,940 +AS زائد B بنفس الطريقة، هذه من الدرجة التانية، بدي + +211 +00:20:55,940 --> 00:21:04,380 +أضع البصد من الدرجة الأولى، يبقى CS زائد Dبعد ذلك + +212 +00:21:04,380 --> 00:21:09,380 +اضرب الطرفين في المقام اللى عندها ده عشان نتخلص من + +213 +00:21:09,380 --> 00:21:17,000 +جزء الكثور بالمرة يبقى بيصير عندى 1 يساوي AS زائد + +214 +00:21:17,000 --> 00:21:24,280 +B في S square plus 4تمام هذا ال term الأول ال term + +215 +00:21:24,280 --> 00:21:32,220 +التاني زائد CS زائد D في من في ال S square plus + +216 +00:21:32,220 --> 00:21:38,900 +one يبقى هاي ضربة الثلاثة أطراف أو الثلاثة مقادير + +217 +00:21:38,900 --> 00:21:43,520 +في من في ال S square plus one زائد S square plus + +218 +00:21:43,520 --> 00:21:51,100 +four هذا لو جيت فكتهيبقى واحد بدي يساوي AS تكييب + +219 +00:21:51,100 --> 00:22:02,440 +زائد 4AS زائد BS تربيع زائد 4B اللي عملته للجثين + +220 +00:22:02,440 --> 00:22:06,550 +اللي في الأول بدي اعمله للجثين التانيةيبقى + +221 +00:22:06,550 --> 00:22:20,850 +المعادلة + +222 +00:22:20,850 --> 00:22:26,780 +صارت على الشكل التالي واحد صحيح بده يساويبدا اجيب + +223 +00:22:26,780 --> 00:22:33,300 +اللي فيهم استكعيب مع بعض هذه وهذه يبقى ال a زائد c + +224 +00:22:33,300 --> 00:22:40,960 +ال a زائد c الاستكعيب تمام؟ بدا اجيب اللي فيهم + +225 +00:22:40,960 --> 00:22:48,850 +استربيع استربيع لهم مين؟ b زائد dيبقى زائد ال B + +226 +00:22:48,850 --> 00:22:56,630 +زائد ال D في ال S تربيع بتدور ال V من ال S يبقى 4A + +227 +00:22:56,630 --> 00:23:08,070 +زائد C زائد 4A زائد C كله هدف من ال S مش ضايل عندي + +228 +00:23:08,070 --> 00:23:18,100 +إلا الثوابت يبقى 4B زائد Dيبقى زائد 4B زائد D + +229 +00:23:18,100 --> 00:23:23,120 +بالشكل اللي عندنا هنا بدنا نبدأ نقارن المعاملات في + +230 +00:23:23,120 --> 00:23:28,360 +الطرفين يبقى لو قارننا بيصير ال A زائد C كده + +231 +00:23:28,360 --> 00:23:34,870 +شبنات؟لإن ماعنديش استكابة للشقة التانية و B زائد D + +232 +00:23:34,870 --> 00:23:41,870 +كمان بده يساوي Zero والاربعة A زائد C كمان بده + +233 +00:23:41,870 --> 00:23:48,590 +يساوي Zero والاربعة B زائد D بده يساوي قداش واحد + +234 +00:23:48,590 --> 00:23:55,170 +صحيحلاحظوا الأولى مع التالتة بتنحل والتانية مع + +235 +00:23:55,170 --> 00:24:00,710 +الرابعة بتنحل اذا انا لو جيت المعادلة دربتها في + +236 +00:24:00,710 --> 00:24:06,660 +سالب واحد بصير سالب a سالب c بده ساوي zeroهذه + +237 +00:24:06,660 --> 00:24:12,880 +هطلعها عندها اللي هو الاربعة A زائد ال C يساوي + +238 +00:24:12,880 --> 00:24:19,160 +Zero لو جمعت بروحه هدول يبقى هذا بده يعطيك انه + +239 +00:24:19,160 --> 00:24:25,240 +تلاتة A بده يساوي Zero يبقى ال A بده تساوي Zero + +240 +00:24:25,240 --> 00:24:30,820 +لما ال A تساوي Zero يبقى ال C بده يساوي Zero يبقى + +241 +00:24:30,820 --> 00:24:38,810 +and ال C تساوي Zeroممتاز جدا طيب هذه الان بدي + +242 +00:24:38,810 --> 00:24:43,770 +اضربها في سالف يبقى ايش بيصير سالف بي سالف دي + +243 +00:24:43,770 --> 00:24:49,450 +يساوي زيرو هذه بدي اخليها زي ما هي اربعة بي زائد + +244 +00:24:49,450 --> 00:24:54,510 +دي يساوي واحد واروح اجمع اتنين هدول مع السلامة + +245 +00:24:54,510 --> 00:25:00,290 +يبقى من الاتنين هدول بقدر استنتج انه تلاتة بي + +246 +00:25:00,290 --> 00:25:07,260 +يساوي واحد يبقى البي يساوي قدر طوللو كانت B بتلت + +247 +00:25:07,260 --> 00:25:15,940 +يبقى D بسالب تلت and ال D تساوي سالب تلت يبقى + +248 +00:25:15,940 --> 00:25:22,460 +جبتله شكل الأربع ثوابت يبقى بناء عن اليسار عندي + +249 +00:25:22,460 --> 00:25:30,020 +واحد على S square زائد واحد S square زائد أربع + +250 +00:25:30,020 --> 00:25:36,240 +يساويالـ A عندي بتلت مش هيك ال A ب Zero اه راح مع + +251 +00:25:36,240 --> 00:25:41,700 +السلامة و ال B هي اللي بتلت يبقى يا تلت خليك برا + +252 +00:25:41,700 --> 00:25:48,720 +في واحد على S Square زائد واحد و ال C ب Zero كمان + +253 +00:25:48,720 --> 00:25:56,400 +مع السلامة دي بسالب تلت يبقى سالب تلت في واحد على + +254 +00:25:56,400 --> 00:26:03,360 +S Square زائد أربع تمام؟هذا ال partial fraction + +255 +00:26:03,360 --> 00:26:08,480 +اللى عندنا اذا بدى اروح له شكل capital Y of S ايش + +256 +00:26:08,480 --> 00:26:14,060 +بدى يكون شكلها يبقى بناء عليه يا بنات capital Y of + +257 +00:26:14,060 --> 00:26:19,920 +S بده يساوي هذا ال partial fraction اللى جاهزيبقى + +258 +00:26:19,920 --> 00:26:27,500 +هذا تلت في واحد على اس square زائد واحد ناقص تلت + +259 +00:26:27,500 --> 00:26:35,700 +في واحد على اس square زائد أربع تمام خلصنا منه هذا + +260 +00:26:35,700 --> 00:26:41,070 +خلصنا من الترم الأول بدنا نيجي للترم الثانييبقى + +261 +00:26:41,070 --> 00:26:50,090 +عندك ناقص بصير الناقص تلت في E أس سالب اتنين by S + +262 +00:26:50,090 --> 00:26:54,030 +وكل + +263 +00:26:54,030 --> 00:26:56,990 +هذا في واحد + +264 +00:26:59,820 --> 00:27:08,160 +نقص مع نقص بيصير الذائد يقص نقص اتنين by اس وهذه + +265 +00:27:08,160 --> 00:27:13,280 +واحد على اس square زائد اربعة + +266 +00:27:16,700 --> 00:27:25,580 +هذه سوف نزلها كما هي وهذه ايضا اربعة فانا اريد فوق + +267 +00:27:25,580 --> 00:27:30,100 +اتنين فهذه انا اريد فوق اتنين فهذه انا اريد فوق + +268 +00:27:30,100 --> 00:27:31,860 +اتنين فهذه انا اريد فوق اتنين فهذه اريد فوق اتنين + +269 +00:27:31,860 --> 00:27:34,280 +فهذه اريد فوق اتنين فهذه اريد فوق اتنين فهذه اريد + +270 +00:27:34,280 --> 00:27:35,620 +فهذه اريد فوق اتنين فهذه اريد فوق اتنين فهذه اريد + +271 +00:27:35,620 --> 00:27:41,760 +فوق اتنين فهذه اريد + +272 +00:27:41,760 --> 00:27:49,950 +فوق اتنين فهأعلى S تربيع زائد A تربيع هذي بتبقى + +273 +00:27:49,950 --> 00:27:56,610 +مربع من اللي فوق هذي مافيها مشكلة E أس ناقص اتنين + +274 +00:27:56,610 --> 00:28:03,590 +by S واحد على S square زائد واحد في هنا تلت يا + +275 +00:28:03,590 --> 00:28:10,020 +بناتهنا طول يبقى هنا كمان بدي اضغط في اتنين و اجسم + +276 +00:28:10,020 --> 00:28:17,160 +على اتنين يبقى بيصير بالشكل هذا زائد سُدس E أس + +277 +00:28:17,160 --> 00:28:24,780 +ناقص اتنين by S في الاتنين على S square زائد اربعة + +278 +00:28:25,570 --> 00:28:30,870 +الحين هيك جاهزين هذا ال a plus transform لمين؟ + +279 +00:28:30,870 --> 00:28:37,850 +للحل يبقى بدي شكل الحل فباجي بقوله solution هو y + +280 +00:28:37,850 --> 00:28:45,760 +of t يساويتلت مقدار ثابت لبلاس ال transfer لبلاس + +281 +00:28:45,760 --> 00:28:50,460 +inverse لهذا اللي هو مين؟ صين ال T تمام التمام + +282 +00:28:50,460 --> 00:29:00,060 +يبقى صين ال T ناقص سُدس وهذا مين؟ صين اتنين T يبقى + +283 +00:29:00,060 --> 00:29:09,640 +صين اتنين Tخلصنا الجزء الأول وصلنا لناقص تلت نجي + +284 +00:29:09,640 --> 00:29:19,700 +لهذه يبقى هذه U اتنين باي as a function of T في ال + +285 +00:29:19,700 --> 00:29:27,640 +plus لهذه اليمين صين ال T يبقى هذه ال sign ال T + +286 +00:29:27,640 --> 00:29:35,680 +ناقص اتنين باييعني هذي لابلاس انفرس لها بصينة T + +287 +00:29:35,680 --> 00:29:40,680 +وبنعمل لها shift بمقدار ال C اللي عندهمين اتنين + +288 +00:29:40,680 --> 00:29:45,450 +بايم من المرة الماضية او من الجدولمن هذا او هذا + +289 +00:29:45,450 --> 00:29:52,170 +بعد هيك نيجي هنا زائد سُدس وهذه هي معناته الهي U + +290 +00:29:52,170 --> 00:30:02,150 +اتنين باي as a function of T وهذه صين اتنين T ناقص + +291 +00:30:02,150 --> 00:30:08,210 +اتنين باي كذلك بهذا الشكل طيب يمكن لو روحنا في + +292 +00:30:08,210 --> 00:30:10,670 +الكتاب مانلاقيش الإجابة هيك + +293 +00:30:17,140 --> 00:30:22,840 +ماشي الحال كلامك صح اصابة امرأة واختها امرأة هي + +294 +00:30:22,840 --> 00:30:29,620 +اتنين وهي ت ناقص اتنينيبقى هذه يا بنات بصير بالشكل + +295 +00:30:29,620 --> 00:30:37,140 +التالي Y as a function of T تلت في صيني T ناقص صدر + +296 +00:30:37,140 --> 00:30:44,820 +في صيني اتنين T ايوة اتنين في هذه دورة كاملةللـ + +297 +00:30:44,820 --> 00:30:49,640 +sign ال period تبعت ال sign يبقى ال period أضافتها + +298 +00:30:49,640 --> 00:30:55,480 +للزاوية و الله شيلتها بيثر و حتى المضاعفات تبيثرش، + +299 +00:30:55,480 --> 00:30:59,900 +إذا بناء عليه هذه مصيرة ناقص طول + +300 +00:31:18,410 --> 00:31:28,230 +يبقى الزائد 6 u2 by as a function of t لصينة t + +301 +00:31:28,230 --> 00:31:32,840 +كذلكيبقى هذا ال solution لمين لل differential + +302 +00:31:32,840 --> 00:31:37,960 +equation لحد هنا stop إذا ال section هذا يعتمد + +303 +00:31:37,960 --> 00:31:42,700 +اعتمادا كليا على ال section السابق اللي هو ال unit + +304 +00:31:42,700 --> 00:31:48,880 +step function لحد هنا انتهى ال section وبانتهاء + +305 +00:31:48,880 --> 00:31:56,020 +هذا ال section نكتفي و الله يعطيكوا العافيةالان + +306 +00:31:56,020 --> 00:32:01,840 +باقى المحاضرة بدنا نحاول نحل فيها احد الامتحانات + +307 +00:32:01,840 --> 00:32:09,340 +السابقة له ال final exam طبعا طيب الان بدنا نمسح + +308 +00:32:09,340 --> 00:32:14,260 +هذا الكلام و نحل الامتحان اللى وزعناه عليكموهو + +309 +00:32:14,260 --> 00:32:19,180 +امتحان خاص بيه شخصيا ماحدش شاركني فيه نيجي الان + +310 +00:32:19,180 --> 00:32:26,860 +لامتحان هذا لو كان سنة امتحان 2005 تمام؟ امتحان 23 + +311 +00:32:26,860 --> 00:32:31,800 +-8 كان صيفي زي الصيف هذا بالضبط تماما قبل سبع + +312 +00:32:31,800 --> 00:32:35,800 +سنوات بيقول you do all the following questions + +313 +00:32:35,800 --> 00:32:40,480 +يعني بدك تحل كل المسائل التالية السؤال الأول + +314 +00:32:40,480 --> 00:32:45,490 +خيارات متعددةبدي اكتب الصيغة باختصار و اكتب + +315 +00:32:45,490 --> 00:32:51,570 +الخيارات و انحدد النقطة الاولة او السؤال الاول + +316 +00:32:51,570 --> 00:32:57,730 +النقطة الاولة اللي هي نمرا ايه ماتيني بده ال order + +317 +00:32:57,730 --> 00:33:04,030 +ofالـ differential equation اللي هي TY triple + +318 +00:33:04,030 --> 00:33:12,410 +prime زائد Y double prime كله أس أربعة زائد Y + +319 +00:33:12,410 --> 00:33:19,270 +تساوي Zero S وماعطيني أربع إجابات الإجابة الأولى + +320 +00:33:19,270 --> 00:33:27,800 +اتنين و تلاتة و أربعة و اتنين في أربعة تمانيةكمان؟ + +321 +00:33:27,800 --> 00:33:34,060 +يبقى هي رتبة أعلى معامل تفاضري أعلى معامل تفاضري + +322 +00:33:34,060 --> 00:33:39,400 +لأن قداش؟ يبقى الإجابة الصحيحة هي تلاتة وفي أعمال + +323 +00:33:39,400 --> 00:33:47,990 +الفصل جيبنالكوا سؤال زيها طيب نمرأ بيه؟نمر بيقول + +324 +00:33:47,990 --> 00:33:55,130 +الـ differential equation الـ y' بدها تساوي x ناقص + +325 +00:33:55,130 --> 00:34:04,130 +y كله مقسم على x is linear only linear only والله + +326 +00:34:04,130 --> 00:34:12,990 +exact only والله homogeneous only homogeneous only + +327 +00:34:12,990 --> 00:34:19,950 +والله all of the aboveAll of the above، من من + +328 +00:34:19,950 --> 00:34:27,590 +هذول؟ بمجرد النظر لو وزعنا بصير واحد ناقص Y على X + +329 +00:34:27,590 --> 00:34:32,650 +يبقى homogeneous، أه homogeneous هذه صحيحة، لكن هل + +330 +00:34:32,650 --> 00:34:37,730 +اللي قبلها صحيحة ولا لأ؟ تعالى نشوفالان قال لي هذه + +331 +00:34:37,730 --> 00:34:42,710 +linear بقول والله ما انا عارف هذه ههه عبارة عن + +332 +00:34:42,710 --> 00:34:46,990 +واحد ناقص y على x لو جيبتها على الشجرة بصير y + +333 +00:34:46,990 --> 00:34:52,050 +prime زائد واحد على x في y يساوي واحد linear ولا + +334 +00:34:52,050 --> 00:34:58,220 +لايبقى linear صحيح ال exact بدأ أحطها في صيغة ال + +335 +00:34:58,220 --> 00:35:04,520 +exact فبروح بقولها نهاها اللي هي x dy + +336 +00:35:10,010 --> 00:35:17,070 +بتساوي مين؟ بتساوي الـ X ناقص Y في الـ DX تمام؟ + +337 +00:35:17,070 --> 00:35:21,930 +نعملها معادلة صفرية يبقى لو عملناها معادلة صفرية + +338 +00:35:21,930 --> 00:35:31,690 +بصير ال Y ناقص ال X في ال DX زائد ال X في ال DY + +339 +00:35:31,690 --> 00:35:35,370 +بتساوي Zero يعني جبت هاد وين على الشجرة تانية + +340 +00:35:35,370 --> 00:35:40,270 +بتجيني بإشارة مخالفةأنا بدى أشوف exact ولا لأ يبقى + +341 +00:35:40,270 --> 00:35:45,490 +بدى أخد partial M by partial Y تفاضلها بالنسبة لـY + +342 +00:35:45,490 --> 00:35:50,790 +بقدرش تفاضل هذه بالنسبة لـX كمان بقدرش يبقى + +343 +00:35:50,790 --> 00:35:55,870 +partial N partial X يبقى exact كمان ما لها صحيحة + +344 +00:35:55,870 --> 00:36:00,510 +يبقى الإجابة الصحيحة النهائية هي من All of the + +345 +00:36:00,510 --> 00:36:06,450 +aboveوليس التالي يبقى الإجابة الصحيحة يقول all of + +346 +00:36:06,450 --> 00:36:14,210 +the above be listed now نقطة نمرة C نمرة C بيقول + +347 +00:36:14,210 --> 00:36:20,300 +any separable equationوأجيب نهار كل مرة اللي فاتت + +348 +00:36:20,300 --> 00:36:27,760 +separable equation is exact ولا Bernoulli ولا + +349 +00:36:27,760 --> 00:36:34,880 +homogeneous is exact ولا + +350 +00:36:34,880 --> 00:36:41,620 +Bernoulli ولا + +351 +00:36:41,620 --> 00:36:44,560 +homogeneous + +352 +00:36:47,730 --> 00:36:49,510 +والله none of the above + +353 +00:36:59,160 --> 00:37:02,760 +طب على إجابة صحية على اليمين يا مانات؟ exactly ليه + +354 +00:37:02,760 --> 00:37:08,860 +C parable؟ لأن C parable فصل المتغيرات صار عندك + +355 +00:37:08,860 --> 00:37:17,240 +هنا M of X DX يساوي ال N of Y DY صارت الدالة اللي + +356 +00:37:17,240 --> 00:37:21,320 +على اليمينده اللي في Y و اللي على الشمال ده اللي + +357 +00:37:21,320 --> 00:37:31,060 +في X إذا بيصير هذه ال M of X DX ناقص ال N of Y DY + +358 +00:37:31,060 --> 00:37:37,400 +بتسوى جداش Zero جداش مستقة هذه بالنسبة ل Y partial + +359 +00:37:37,400 --> 00:37:43,660 +M على partial Y جداش تفاضل هذه بالنسبة ل Xبارشال N + +360 +00:37:43,660 --> 00:37:47,500 +على بارشال X هذه دالة في Y إذا انت اتمنى مجبرة + +361 +00:37:47,500 --> 00:37:52,160 +ثابت كده مشتقتها؟ Zero يسوى Zero إذا هذه إيش؟ + +362 +00:37:52,160 --> 00:37:57,980 +Exact يبقى الإجابة الصحيحة هي من؟ Exact نجي لنمرة + +363 +00:37:57,980 --> 00:38:05,330 +D نمرة D بقول ال differential equation هذهالـ + +364 +00:38:05,330 --> 00:38:14,290 +equation هذه اللي هي من y prime بدها تساوي تلاتة x + +365 +00:38:14,290 --> 00:38:24,910 +في ال y زائد x to the power n is separable if + +366 +00:38:27,580 --> 00:38:34,600 +الان تساوي هندك سالب واحد و الله زيرو و الله واحد + +367 +00:38:34,600 --> 00:38:40,880 +و الله تلاتة و اجتاش هذه بتبقى C Parallel يعني و + +368 +00:38:40,880 --> 00:38:48,880 +اجتاش بقدر افصل ال X لحال و ال Y لحالطبعاً لو كانت + +369 +00:38:48,880 --> 00:38:54,280 +هذه zero ليش؟ لأن لو صارت X أو Zero اللي هو بواحد + +370 +00:38:54,280 --> 00:38:57,480 +يبقى البنجو سين هو ده اللي في Y وده اللي في X + +371 +00:38:57,480 --> 00:39:01,340 +باكسيم عليه واحدة بصير تلات X دي X يبقى لو كانت ال + +372 +00:39:01,340 --> 00:39:08,000 +N تساوي مين؟ تساوي Zero نمرا Eنمر ايه؟ بيقول الـ + +373 +00:39:08,000 --> 00:39:19,180 +differential equation Y ناقص Y يساوي E أس T في Y + +374 +00:39:19,180 --> 00:39:26,960 +أس N على تلاتة هذه إيه البرنامج؟ هذه البرنامج + +375 +00:39:36,590 --> 00:39:46,770 +N لا تساوي Zero و N تساوي + +376 +00:39:46,770 --> 00:40:00,530 +تلاتة N لا تساوي Zero و N تساوي تلاتة + +377 +00:40:03,170 --> 00:40:12,390 +تساوي zero ان تساوي zero and ان تساوي تلاتة اللي + +378 +00:40:12,390 --> 00:40:25,890 +بعدها ان تساوي zero and الان لا تساوي تلاتة تعالى + +379 +00:40:25,890 --> 00:40:29,390 +نشوف تانية طب أنا موافق + +380 +00:40:31,970 --> 00:40:37,530 +طب تعالى نشوف ليش ال N لا تساوي Zero يعني بتساوي + +381 +00:40:37,530 --> 00:40:43,250 +رقم اخر تلاتة بصير تلاتة ع تلاتة مقداش بواحد بصير + +382 +00:40:43,250 --> 00:40:47,550 +هنا Y و هنا Y يبقى بجيب يد على الشجة التانية + +383 +00:40:47,550 --> 00:40:51,390 +وبصينا عندنا ناقص واحد زي ال E of T في Y و هذه + +384 +00:40:51,390 --> 00:40:56,500 +تساوي Zero ليست Bernoulliيبقى هذه غلط التاني لو + +385 +00:40:56,500 --> 00:41:02,540 +كانت ان لا تساوي zero و ان لا تساوي تلاتة تمام + +386 +00:41:02,540 --> 00:41:07,460 +يبقى لا تساوي zero ماشي لا تساوي تلاتة أربعة خمسة + +387 +00:41:07,460 --> 00:41:12,200 +ستة عشرة مية اتنين زي ما بدك يبقى بصير y prime + +388 +00:41:12,200 --> 00:41:17,420 +ناقص y دالة في t في y مرفوع الوسط إذا فعلا هذه + +389 +00:41:17,420 --> 00:41:23,700 +معادلة Bernoulli الباقية طبعا لاماشي طيب نمره F + +390 +00:41:23,700 --> 00:41:27,580 +بيقول + +391 +00:41:27,580 --> 00:41:33,360 +الرونسكين تبع ال F وال G equal الرونسكين تبع ال F + +392 +00:41:33,360 --> 00:41:40,180 +وال G بدر ساوي كده عشان ال M تبع ال A equal 6X بدر + +393 +00:41:40,180 --> 00:41:49,960 +ساوي 6X where وال Gf of x ناقص ثلاثة + +394 +00:42:01,070 --> 00:42:08,830 +الـ F of X بدأ تساوي أحد الأمور التالية تلاتة X + +395 +00:42:08,830 --> 00:42:16,690 +ستة X تلاتة X ستة X X تربيع تلاتة X تربيع + +396 +00:42:22,300 --> 00:42:26,940 +تعالى نشوف مين الإجابة الصحيحة في دول الأربع + +397 +00:42:26,940 --> 00:42:32,320 +إجابات الان ال rollerskin يسوى كم؟ 6x انا عندي + +398 +00:42:32,320 --> 00:42:37,980 +دالتين F وG تنتين مرتبطات مع بعض شو الارتباط معاهم + +399 +00:42:37,980 --> 00:42:44,260 +لبعض؟ G of X يسوى F of X ناقص تلتةاذا انا لو + +400 +00:42:44,260 --> 00:42:48,620 +جبتلهم الرنسكن يقول الرنسكن يساوي كده؟ يساوي 6x + +401 +00:42:48,620 --> 00:42:53,580 +اذا لو روحت جبتلهم الرنسكن بالشكل التالي الرنسكن + +402 +00:42:53,580 --> 00:43:01,420 +تبع ال F و ال G بده يساوي المحدد الأولى + +403 +00:43:01,420 --> 00:43:09,380 +هي ال F of X ال G اللي هي ال F of X ناقص 3بظبط؟ + +404 +00:43:09,380 --> 00:43:17,320 +إذا بدي أشتق يبقى ال F' of X وهنا ال F' of X + +405 +00:43:17,320 --> 00:43:22,580 +ومشتقتي التلاتة بقداش؟ ب Zero بدنا نفكر رونس + +406 +00:43:22,580 --> 00:43:29,340 +كينهدا و نسميه بقداش ب6Xيبقى هذا ال f of x في ال f + +407 +00:43:29,340 --> 00:43:37,660 +prime of x ناقص اللي هو ال f of x في ال f prime of + +408 +00:43:37,660 --> 00:43:44,620 +x ناقص مع ناقص بيصير زائد تلاتة f prime of x كله + +409 +00:43:44,620 --> 00:43:50,580 +بيسوي ستة x اظن ان هذي و هذي مع السلامةبقى عندنا + +410 +00:43:50,580 --> 00:43:57,740 +تلاتة F prime of X يساوي ستة X يبقى ال F prime of + +411 +00:43:57,740 --> 00:44:03,960 +X يساوي قداشتنين X يبقى معنى هذا الكلام ان ال F of + +412 +00:44:03,960 --> 00:44:10,720 +X يساوي X تربيةزاد كنستان C بالتكامل طيب كويس إذا + +413 +00:44:10,720 --> 00:44:15,560 +المعلومة الأولى من المثلة استفدنا فيها شكل ال F of + +414 +00:44:15,560 --> 00:44:20,120 +X قال لي في عندك معلومة تانية ان ال F of Zero بده + +415 +00:44:20,120 --> 00:44:26,360 +يساوي Zero يبقى هنا Zero بده يساوي Zero زائد ال C + +416 +00:44:26,360 --> 00:44:30,680 +يبقى ال C جداش بده يساوي Zero يبقى أصبح F of X + +417 +00:44:30,680 --> 00:44:38,840 +يساوي جداشاكس تربية الاجابة رقم تلاتة نجي الان + +418 +00:44:38,840 --> 00:44:46,320 +لاخر نقطة في الخيارات نمرة Gيبقى نمرة G بتقول ما + +419 +00:44:46,320 --> 00:44:53,500 +يأتي ال differential equation X تربيع زائد أربعة X + +420 +00:44:53,500 --> 00:45:01,660 +تربيع زائد أربعة في ال Y double prime زائد اتنين X + +421 +00:45:01,660 --> 00:45:08,560 +في ال Y prime اتنين X في ال Y prime زائد Y يساوي + +422 +00:45:08,560 --> 00:45:09,780 +Zero + +423 +00:45:12,720 --> 00:45:24,260 +في عندي أربع إجابات، no singular points الإجابة + +424 +00:45:24,260 --> 00:45:30,440 +الثانية، no ordinary + +425 +00:45:30,440 --> 00:45:37,940 +points الإجابة التالتة، two singular points + +426 +00:46:01,440 --> 00:46:03,320 +معادلة برنولي + +427 +00:46:08,490 --> 00:46:13,750 +لأ مش Bernoulli بدك اه هذا مش صحيح اه هيك هذه + +428 +00:46:13,750 --> 00:46:17,950 +بتبقى x زياد 4 لكل تربية و بدى يكون هنا x زياد 4 + +429 +00:46:17,950 --> 00:46:21,490 +يبقى هذه ليست معادلة Bernoulli Bernoulli ولا مش + +430 +00:46:21,490 --> 00:46:25,730 +Bernoulli مش هذا السؤال اه قصدي oiler ولا مش oiler + +431 +00:46:25,730 --> 00:46:30,220 +ماهياش oilerمش هذا السؤال السؤال قال لي بشوف ليها + +432 +00:46:30,220 --> 00:46:35,540 +فيهاش ولا singular point فيهاش ولا ordinary point + +433 +00:46:35,540 --> 00:46:40,600 +فيها two singular points فقط فيها two ordinary + +434 +00:46:40,600 --> 00:46:45,540 +points إذا نحكم احنا من خلال ال main المعامل تبع y + +435 +00:46:45,540 --> 00:46:51,060 +w prime يبقى لو قلت x تربية زاد اربعة يساوي zero + +436 +00:46:51,060 --> 00:46:59,730 +بجيب نتيجةكداش؟ زد او ناقص اتنين I يعني Complex + +437 +00:46:59,730 --> 00:47:03,390 +نقطتين Complex ماعندي مشكلة Complex ولا real + +438 +00:47:03,390 --> 00:47:08,690 +ماعندي مشكلة اذا في عندي two singular points X + +439 +00:47:08,690 --> 00:47:13,390 +يساوي اتنين I و X يساوي سالب اتنين I يبقى الإجابة + +440 +00:47:13,390 --> 00:47:20,310 +صحية two singular points طب و الباقى النقاط؟يبقى + +441 +00:47:20,310 --> 00:47:26,630 +two ordinary غلط، no ordinary غلط، two ordinary + +442 +00:47:26,630 --> 00:47:31,790 +غلط، بلا اندي two singular أو مافيش singular، لا + +443 +00:47:31,790 --> 00:47:36,590 +two singular points هي الإجابة الصحيحة والباقي كله + +444 +00:47:36,590 --> 00:47:43,600 +خطأطيب خلصنا السؤال الأول وهو سؤال الخيارات + +445 +00:47:43,600 --> 00:47:53,240 +المتعدد طيب اضع ال H ماشي ولا يهمك GH H بيقول لو + +446 +00:47:53,240 --> 00:47:59,680 +كان F of T بده يسوى تمانية then Laplace transform + +447 +00:47:59,680 --> 00:48:07,340 +يعني then Laplace transform لتمانية يساوييساوم + +448 +00:48:07,340 --> 00:48:14,220 +يعطيني عدة إجابات يا إما تمانية يا إما تمانية في + +449 +00:48:14,220 --> 00:48:21,840 +اس يا إما تمانية على اس يا إما إيوس ناقص تمانية اس + +450 +00:48:21,840 --> 00:48:26,140 +إيوس ناقص تمانية اس أنا بقول الإجابة الأخيرة هي + +451 +00:48:26,140 --> 00:48:32,580 +الصحةأيه يا عزيزي؟ غلط كلامي يعني؟ غلط و نص كمان؟ + +452 +00:48:32,580 --> 00:48:38,500 +يبقى بدنا الإجابة الصحيحة بنقوله بسيطة Laplace + +453 +00:48:38,500 --> 00:48:45,540 +لتمانية هذه بقدر أقول Laplace لتمانية في واحد، + +454 +00:48:45,540 --> 00:48:52,950 +تمام؟هذه لخاصية ال linearity يبقى هذا بيصير تمانية + +455 +00:48:52,950 --> 00:48:57,490 +في ال plus لل one ال plus لل one اللي هو واحد على + +456 +00:48:57,490 --> 00:49:03,410 +اس يبقى النتيجة تمانية في واحد على اس اللي هو + +457 +00:49:03,410 --> 00:49:07,750 +تمانية على اس هي الإجابة مين الصحيحة + +458 +00:49:15,180 --> 00:49:25,900 +السؤال التاني بيقول اتحل هاش اتحل + +459 +00:49:25,900 --> 00:49:34,290 +هاش اتحل هاش اتحل هاش اتحل هاشلأ، الفين وخمسة كان + +460 +00:49:34,290 --> 00:49:37,230 +موجود في التمرين، الآن في الطبع هذه مش موجود في + +461 +00:49:37,230 --> 00:49:41,300 +التمرين يعني رايحة دماغكبدي اقولهلك و بقولهلك لكن + +462 +00:49:41,300 --> 00:49:47,500 +احنا بقولك رايح ماشي يبقى هذا answer سؤال اتنين a + +463 +00:49:47,500 --> 00:49:51,560 +بدنا اتنين b يبقى اللي solve the differential + +464 +00:49:51,560 --> 00:49:57,360 +equation solve the differential اتنين بيها طبعا + +465 +00:49:57,360 --> 00:50:02,620 +يبقى solve the differential equation y زائد اتنين + +466 +00:50:02,620 --> 00:50:12,990 +e اص x في من في ال dx زائدالتانية واحد زائد E اص + +467 +00:50:12,990 --> 00:50:21,550 +ناقص X كله DY ساوي زير من حد ما تشوفي الشكل + +468 +00:50:21,550 --> 00:50:25,170 +المعادل بيه هذا الشكل ايش اول شيء بيختر في بالك + +469 +00:50:25,170 --> 00:50:32,960 +exact او integrating factorهل هي exact؟ إذا كانت + +470 +00:50:32,960 --> 00:50:37,300 +أكتر فالله المين القتال ماكانش يبقى بنجيبلها ال + +471 +00:50:37,300 --> 00:50:40,620 +integrating factor ونروح نلقيها نحل المعادلة + +472 +00:50:40,620 --> 00:50:47,520 +التفاضلية هي جاهزة معادلة صفرية function في dx + +473 +00:50:47,520 --> 00:50:53,270 +function في dy إذا بدى شوح أشوف ال exact تبعهايبقى + +474 +00:50:53,270 --> 00:50:58,430 +بدي اخد partial M by partial Y تفاضلها بالنسبة له + +475 +00:50:58,430 --> 00:50:59,290 +يبقى dash + +476 +00:51:02,000 --> 00:51:08,020 +تفاضلها بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل + +477 +00:51:08,020 --> 00:51:09,700 +X بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +478 +00:51:09,700 --> 00:51:10,660 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +479 +00:51:10,660 --> 00:51:10,920 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +480 +00:51:10,920 --> 00:51:11,620 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +481 +00:51:11,620 --> 00:51:12,200 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +482 +00:51:12,200 --> 00:51:12,440 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +483 +00:51:12,440 --> 00:51:12,480 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +484 +00:51:12,480 --> 00:51:14,180 +بالنسبة إلى X تفاضل X بالنسبة إلى X تفاضل X + +485 +00:51:14,180 --> 00:51:19,300 +بالنسبة إلى X تفاضل X بالنسبة + +486 +00:51:19,300 --> 00:51:19,880 +إلى X تفاضل + +487 +00:51:24,120 --> 00:51:30,460 +ولا مالهاش إذا لو جيت قلت هنا بدي أخد تفاضل ال M + +488 +00:51:30,460 --> 00:51:36,300 +بالنسبة إلى Y ناقص تفاضل ال N بالنسبة ل X مقصود من + +489 +00:51:36,300 --> 00:51:42,560 +على مين بدي أشوف يطلع function في X ولا لابقول هذا + +490 +00:51:42,560 --> 00:51:49,300 +الكلام يساوي تفاضل M بالنسبة الى Y واحد ناقص ناقص + +491 +00:51:49,300 --> 00:51:55,860 +بالصيرة زايد E واث ناقص X على N N عند مقداش بواحد + +492 +00:51:55,860 --> 00:52:01,140 +زايد E واث ناقص X يبقى واحد زايد E واث ناقص X + +493 +00:52:01,140 --> 00:52:07,420 +الجواب مقداش طالع مقدار ثابتيبقى هذا function في y + +494 +00:52:07,420 --> 00:52:13,260 +ولا function في x automatic مدام انا عملت الخطوه + +495 +00:52:13,260 --> 00:52:17,740 +دي بدي اعتبره غصما على اللي مايرضياش function في x + +496 +00:52:17,740 --> 00:52:23,860 +تمام لو كان مقلوب هبدي اعتبره function في y يبقى + +497 +00:52:23,860 --> 00:52:30,900 +هذا function of x only يبقى خلاص بجيبلي جهد على + +498 +00:52:30,900 --> 00:52:36,350 +مين على ال integratingفاكتور نكمل ولا خلاص خلاص + +499 +00:52:36,350 --> 00:52:40,070 +صاحب نجيب ال integrating factor وبالتالي بحولها + +500 +00:52:40,070 --> 00:52:44,570 +إلى exact و بكمل بحل ال main بحل ال exact + +501 +00:53:03,590 --> 00:53:09,210 +هذا هو السؤال الثاني نذهب إلى السؤال الثالث بيقول + +502 +00:53:09,210 --> 00:53:18,970 +find a particular solution سؤال التالت find Y of T + +503 +00:53:18,970 --> 00:53:24,570 +يعني particular solution لل differential equationY + +504 +00:53:24,570 --> 00:53:29,890 +to the derivative four ناقص تمانية Y double prime + +505 +00:53:29,890 --> 00:53:42,170 +زائد ستة عشر Y يساوي E أس اتنين T زائد T E أس ناقص + +506 +00:53:42,170 --> 00:53:48,650 +T وبينجو سينو بخط غامق جالي تحسبش ال constantsزي + +507 +00:53:48,650 --> 00:53:51,850 +ما جيبناكوا سؤالتي احسبش القنصة و رغم ذلك انا بصلح + +508 +00:53:51,850 --> 00:53:54,930 +لقيت كام واحد ريحتي حاسبولي قنصة و اضايقته فقالوا + +509 +00:53:54,930 --> 00:53:58,760 +يا عزيزي والله كانت فضيات و وراهم الشغلطب انا جاي + +510 +00:53:58,760 --> 00:54:02,480 +لكوا خط غامق، don't evaluate the conosa، يعيش وقتك + +511 +00:54:02,480 --> 00:54:05,540 +و الكلام هو هنا كمان جاي ال don't evaluate the + +512 +00:54:05,540 --> 00:54:09,660 +conosa انا بهمنيش، انا بدي اشوف هل بتعرف ال GB شكل + +513 +00:54:09,660 --> 00:54:14,280 +الحل، والباقي روتيني، فاضل و قالوا سوى الطرفين و + +514 +00:54:14,280 --> 00:54:17,960 +احسب ال conosa، هذا شغله روتيني، لكن العمود الفقري + +515 +00:54:17,960 --> 00:54:23,860 +هل بتعرف ال GB اللي هو شكل ال particular solution، + +516 +00:54:23,860 --> 00:54:29,070 +لأ هذا هو الأساس اللي عندناطبعا باجي بقولك كويس + +517 +00:54:29,070 --> 00:54:33,030 +يبقى هذه homogeneous ولا non homogeneous؟ + +518 +00:54:41,820 --> 00:54:50,560 +يبقى لو جيت له solution يبقى لو جيت له solution + +519 +00:54:50,560 --> 00:54:54,560 +يبقى لو جيت له solution يبقى لو جيت له solution + +520 +00:54:54,560 --> 00:55:00,070 +يبقى لو جيت له solutionمين ال Y to the derivative + +521 +00:55:00,070 --> 00:55:06,850 +of 4 نقص تمانية YW prime زائد ستة عشر Y يسوى Zero + +522 +00:55:06,850 --> 00:55:12,890 +واللي فوق هي المعادلة رقم واحد تمام يبقى أنا أخدت + +523 +00:55:12,890 --> 00:55:18,070 +ال homogenous وفرقت الحل يبقى بصير عندي شكل ال + +524 +00:55:18,070 --> 00:55:27,890 +characteristic equation asR أُس أربع ناقص تمانية R + +525 +00:55:27,890 --> 00:55:32,530 +تربية زائد ستاشر يساوي جدا كثير من البنات و أنا + +526 +00:55:32,530 --> 00:55:39,690 +بصلق بيحطول هنا ايش R تمام من وين R هي فيها مشتقة + +527 +00:55:39,690 --> 00:55:43,650 +فيها مافيش مشتقة مافيش R تمام يبقى دير بالك و + +528 +00:55:43,650 --> 00:55:51,250 +ركزوا كويسةيبقى صرف بالشكل لأن هذه عبارة عن R ناقص + +529 +00:55:51,250 --> 00:55:54,990 +أربعة لكل تربيع يسوى قداش Zero + +530 +00:56:04,920 --> 00:56:11,040 +إذا أنا عندي حلين و الحلين كل واحد مكرر مرتين ليش + +531 +00:56:11,040 --> 00:56:16,060 +ان القصة ده فرق بين المربعين R نقص اتنين في R + +532 +00:56:16,060 --> 00:56:25,400 +زائدي اتنين الكل ترابيةيبقى صار هذا R1 بده يساوي 2 + +533 +00:56:25,400 --> 00:56:35,500 +وهذا يساوي R2 يعني مكرر مرتين وR3 يساوي R4 يساوي + +534 +00:56:35,500 --> 00:56:42,230 +ناقص 2كويس اذا بدى اجيب شكل ال particular شكل ال + +535 +00:56:42,230 --> 00:56:48,070 +homogeneous ال solution اللى هو yc يساوي c واحد + +536 +00:56:48,070 --> 00:56:56,210 +زائد c اتنين t اي اقصى اتنين t مظبوط هيك نيجي للي + +537 +00:56:56,210 --> 00:57:07,830 +بعد زائد c تلاتة c اربعة t اي اقصى نقص اتنين tيبقى + +538 +00:57:07,830 --> 00:57:11,670 +هذا الشكل المهم حل ال homogenous differential + +539 +00:57:11,670 --> 00:57:16,690 +equation بنا نيجي لل particular solution بروح بطلع + +540 +00:57:16,690 --> 00:57:24,610 +في شكل ال G of T في شبه ما بينهم؟ أبدا يبقى حطر + +541 +00:57:24,610 --> 00:57:31,010 +أجزة إيه المعادلة؟الى معادلتين فبروح بقول هنا the + +542 +00:57:31,010 --> 00:57:42,090 +differential equation one can be is written is + +543 +00:57:42,090 --> 00:57:48,890 +written as بروح بكتبها على الشكل التالف y to the + +544 +00:57:48,890 --> 00:57:57,260 +derivative fourناقص ثمانية Y W Prime زائد ستاشر Y + +545 +00:57:57,260 --> 00:58:06,040 +يساوي E أس اتنين T المعادلة الثانية هي نفسها ناقص + +546 +00:58:06,040 --> 00:58:14,680 +ثمانية Y W Prime زائد ستاشر Y يساوي T في E أس ناقص + +547 +00:58:14,680 --> 00:58:27,670 +Tإذا الـ Particular solution لهذه المعادلة يبدو + +548 +00:58:27,670 --> 00:58:33,670 +يساوي T to the power S هذه الـ exponential لحالها + +549 +00:58:33,670 --> 00:58:40,090 +يبقى في عندنا هنا كولونوميا الملددرجة الصفرية + +550 +00:58:40,090 --> 00:58:50,690 +بحطله constant فقط في E أس 2Tنجي لهذه capital Y2 + +551 +00:58:50,690 --> 00:58:56,350 +of T بده يساوي T to the power S فيه هذه هنا + +552 +00:58:56,350 --> 00:58:59,950 +polynomial من الدرجة الأولى يبقى حضر احط + +553 +00:58:59,950 --> 00:59:06,070 +polynomial من الدرجة الأولى يبقى A naught T زائد + +554 +00:59:06,070 --> 00:59:13,680 +A1 في E و 2 ناقص Tبعد هيك بالدرجة احسب له S و ال S + +555 +00:59:13,680 --> 00:59:18,760 +هنا جديش تساوي باجي بطلع المقدار بين القوسين فيه + +556 +00:59:18,760 --> 00:59:24,600 +زي و فوق constant في E أس اتنين في A موجود تمام + +557 +00:59:24,600 --> 00:59:29,810 +إذا بده أحط S بجديش بواحدإذا لو حطيت S بواحد بصير + +558 +00:59:29,810 --> 00:59:36,630 +الحل A T في E واسي 2T يعني constant في T constant + +559 +00:59:36,630 --> 00:59:42,550 +في T في E واسي 2T موجود يبقى ال S لا يمكن أن تساوي + +560 +00:59:42,550 --> 00:59:49,430 +واحد يبقى S قداش تساوي نين يبقى هنا ال S بدها + +561 +00:59:49,430 --> 00:59:56,810 +تساوي اتنين يبقى بصير capital Y1 of Tيبدو يساوي A + +562 +00:59:56,810 --> 01:00:03,110 +T تربيع E أس اتنين T نجي للتانية اللي عندنا هذه في + +563 +01:00:03,110 --> 01:00:08,670 +عند هنا E أس ناقص T ماعنديش بالمرة انا عندي E أس + +564 +01:00:08,670 --> 01:00:12,850 +ناقص اتنين T ماليش علاقة فيها انا علاقتي بس في E + +565 +01:00:12,850 --> 01:00:20,500 +أس ناقص T يبقى هنا ال S بجداش Zero يبقى هنا ال Sما + +566 +01:00:20,500 --> 01:00:27,120 +دام سوى zero يبقى capital Y of T يبقى A naught T + +567 +01:00:27,120 --> 01:00:33,280 +زائد A one في ال E ناقص T قال لي في المثل بده + +568 +01:00:33,280 --> 01:00:38,080 +particular solution للمعادلة هذه يعني هذا مش لازم + +569 +01:00:38,080 --> 01:00:41,680 +له لكن انا لازم ليه فاضطرت اجيبه لانه بده اجيب + +570 +01:00:41,680 --> 01:00:47,600 +particular solution منهإذا صار capital Y of T هو + +571 +01:00:47,600 --> 01:00:54,840 +Y1 of T زائد Y2 of T يبقى اللي هو بده يساوي قداش + +572 +01:00:54,840 --> 01:01:04,280 +بده يساوي A T تربيع E أس اتنين T زائد A نقطة T + +573 +01:01:04,280 --> 01:01:10,800 +زائد A1 في ال E أس ناقص T هذا اللي بدنا ياهو باقى + +574 +01:01:10,800 --> 01:01:14,960 +الشغل كله مش لازملى، شوف يا عاد لو بدك ال + +575 +01:01:14,960 --> 01:01:20,500 +constants، بدك تروح تشتقى هذه كام مرة، اربع مرات، + +576 +01:01:20,500 --> 01:01:24,660 +انا بديش هي و رغم ذلك بقين اشوف بعض البنات او بعض + +577 +01:01:24,660 --> 01:01:28,660 +الامور هيشتقلى هذه اربع مرات، شوف قداش بده تاخد + +578 +01:01:28,660 --> 01:01:33,010 +وقت، انا بديش هيوكتبليها بخط غامق حتى اللي نظره + +579 +01:01:33,010 --> 01:01:40,370 +ضعيف يشوفها انا بدي اعرف انك بتحسب ال S هذه ولا لا + +580 +01:01:40,370 --> 01:01:44,760 +لان هذا هو العمود الفقريبالمثل انه على قيمة ال S + +581 +01:01:44,760 --> 01:01:50,100 +يترتب شكل ال main شكل ال particular solution وشوف + +582 +01:01:50,100 --> 01:01:55,580 +يا عيد لما تبدأ حسبت S غلط و تروحي تشتق و تجيبلي + +583 +01:01:55,580 --> 01:01:59,840 +ال constant شوفي قداجة بتاخد وانت و كله غلط تمام؟ + +584 +01:01:59,840 --> 01:02:04,460 +مش مطلبه غلط، مركبة غلط، حسبت S غلط، بس لما حسبت + +585 +01:02:04,460 --> 01:02:09,360 +صح بصير الشغل كله، بشطب عليه و بجرهوشولا بدور عليه + +586 +01:02:09,360 --> 01:02:12,340 +مش لزملي ولا بحط عليه ولا حاجة ان شاء الله تكوني + +587 +01:02:12,340 --> 01:02:17,140 +جايبها صح مش لزملي انا مش طالبه انا بحط العلامة جد + +588 +01:02:17,140 --> 01:02:19,520 +ما انا طالب خلال ذلك ماليش علاقة فيه + +589 +01:02:38,870 --> 01:02:44,170 +طب كويس هذا كان هو السؤال رقم تلاتة بروح للسؤال + +590 +01:02:44,170 --> 01:02:48,390 +أربعة قال لي هات ليه ال general solution للمعادلة + +591 +01:02:48,390 --> 01:02:55,730 +هذه يبقى أربعة بده ال general solution solve اللي + +592 +01:02:55,730 --> 01:03:02,030 +هو ال general solution لمين لل X تربيع YW prime + +593 +01:03:02,030 --> 01:03:12,330 +ناقص اتنين XY primeزائد اتنين واي كله ساوي الاكس + +594 +01:03:12,330 --> 01:03:16,990 +تكييب في لن الاكس والله يمكن يكون مثال معاكم هذي و + +595 +01:03:16,990 --> 01:03:27,230 +لا لا مثال معاكم في الاويلر نصا فالله يشوف هذا + +596 +01:03:27,230 --> 01:03:33,080 +افترق شوف هذا مثال و لا لاعلى اي حال مثال ولا مش + +597 +01:03:33,080 --> 01:03:37,960 +مثال بدنا نحل المعادلة هذه وهناك اكثر طريقة او + +598 +01:03:37,960 --> 01:03:42,420 +اكثر من طريقة لحلها خليني اسأل سؤال الطرف الشمال + +599 +01:03:42,420 --> 01:03:50,740 +is it Euler equation هل هذه معادلة Euler X ثربيا و + +600 +01:03:50,740 --> 01:03:54,080 +ايضا البرامج مقدرة ثابت XY برامج مقدرة ثابت اه + +601 +01:03:54,080 --> 01:04:01,130 +والله Eulerيبقى بروح بحلها بأي طريقة تنشد و قدامي + +602 +01:04:01,130 --> 01:04:06,850 +كام طريقة؟ تنتين يا إما بروح بحط التعويضة X يساوي + +603 +01:04:06,850 --> 01:04:12,230 +E أس T أحدى الطرق يا إما بقول افترض .. بخليها زي + +604 +01:04:12,230 --> 01:04:16,090 +ما بقول افترض الحل Y تساوي X أس R و باخد X greater + +605 +01:04:16,090 --> 01:04:20,790 +than 0 و في الآخر بحط الجواب بدلال 8الـ absolute + +606 +01:04:20,790 --> 01:04:24,510 +value يبقى جبت الـ homogeneous ضال الـ non + +607 +01:04:24,510 --> 01:04:29,070 +homogeneous بروح بجسم كله على X تربيه و بروح + +608 +01:04:29,070 --> 01:04:33,570 +بستخدم ال variation of parameters يعني هناك طريقين + +609 +01:04:33,570 --> 01:04:39,610 +و لم أقيدك بأي طريقة لكن كان بإمكاني أقيدك أقولك + +610 +01:04:39,610 --> 01:04:45,010 +استخدم التعويض X يساوي EOST to change the + +611 +01:04:45,010 --> 01:04:46,070 +differential equation + +612 +01:04:51,430 --> 01:04:57,650 +بمعاملات ثابتة ثم + +613 +01:04:57,650 --> 01:05:04,630 +احلل المعادلة + +614 +01:05:06,780 --> 01:05:11,180 +يبقى في هذه الحالة محولة بمعالجة ثابتة يمكن تطلع + +615 +01:05:11,180 --> 01:05:14,900 +بدها ال undetermined coefficients ويمكن ال + +616 +01:05:14,900 --> 01:05:18,820 +variation of parameters اذا اذا قيدك بدي اقتل + +617 +01:05:18,820 --> 01:05:23,800 +تازمي بما قيدتك فيه ما قيدكيش خلاص حلي بأي شغل + +618 +01:05:23,800 --> 01:05:28,440 +بدكيه يبقى المدام ما قيدنيش يبقى خلاص سهلة صار + +619 +01:05:28,440 --> 01:05:32,020 +قدامي طريقين بس اذا قيدني ما اللي قداميش الا اه + +620 +01:05:32,750 --> 01:05:38,050 +طريق واحد، ماعرفش، ضاع السؤال، بس بعرف و بجيب + +621 +01:05:38,050 --> 01:05:43,690 +السؤال، لكن إذا ما قيّبناش، بصيركل الخيارات مفتوحة + +622 +01:05:43,690 --> 01:05:49,710 +زي ما يقول السياسيين يبقى انا بدور الاسهل فاجي + +623 +01:05:49,710 --> 01:06:00,830 +بقوله الاسهل let y تساوي x plus r ب ا solution of + +624 +01:06:00,830 --> 01:06:08,610 +طبعا قبلها بقوله f ال x greater than 0يبقى بيه + +625 +01:06:08,610 --> 01:06:19,050 +solution of ال X تربيع YW ناقص اتنين X Y Prime + +626 +01:06:19,050 --> 01:06:25,990 +زائد اتنين Y ساوي زير then ال + +627 +01:06:25,990 --> 01:06:37,320 +characteristic equation isR في R ناقص واحد ناقص + +628 +01:06:37,320 --> 01:06:46,360 +اتنين R زائد اتنين يساوي Zeroأو بقدر اقول R تربيع + +629 +01:06:46,360 --> 01:06:52,920 +ناقص R ناقص اتنين R ناقص تلاتة R زائد اتنين يساوي + +630 +01:06:52,920 --> 01:07:01,040 +Zero يبقى هذه بنحللها الى قوسيني ويساوي Zero هنا R + +631 +01:07:01,040 --> 01:07:07,440 +هنا R هنا واحدوهنا اتنين وهنا ناقص ناقص يبقى بناء + +632 +01:07:07,440 --> 01:07:13,760 +عليه اصبح R واحد يساوي واحد وR اتنين يساوي اتنين + +633 +01:07:13,760 --> 01:07:22,860 +يبقى شكل الحل على الشكل التالي YC بده يساوي C واحد + +634 +01:07:22,860 --> 01:07:30,510 +E از T اه لا مش E از T لا لا استني شويةC1 absolute + +635 +01:07:30,510 --> 01:07:38,830 +value ل X أُس واحد زائد C2 و هنا حطيت ال absolute + +636 +01:07:38,830 --> 01:07:44,630 +و الله ماحطتهوش C2 لكن لسه هو لحطيه لإيه عشان نقول + +637 +01:07:44,630 --> 01:07:54,060 +كله محدش أحسن من من التاني هذا ل YCطبعا الان بدنا + +638 +01:07:54,060 --> 01:07:58,280 +نجيب ال particular solution لكي نجيب ال particular + +639 +01:07:58,280 --> 01:08:02,360 +solution بال variational parameters لازم يكون + +640 +01:08:02,360 --> 01:08:09,260 +المعامل هنا بقداش واحد صحيح اذا بدي يصير y w prime + +641 +01:08:09,260 --> 01:08:15,780 +نقص اتنين على x في ال y prime زيدي اتنين على x + +642 +01:08:15,780 --> 01:08:24,700 +تربيع في ال y بده يساوي ال x في لن ال xالان ال + +643 +01:08:24,700 --> 01:08:27,100 +particular solution + +644 +01:08:34,160 --> 01:08:42,180 +Solution as y as a function of t بده يساوي بده + +645 +01:08:42,180 --> 01:08:49,380 +اشيل c واحد و احط مكانها u واحد يبقى u واحد as a + +646 +01:08:49,380 --> 01:08:54,420 +function of x في ال x و بعد هيك بحط ال absolute + +647 +01:08:54,420 --> 01:09:02,730 +زائد c اتنين الو u اتنين of xفى مين فى ال X تربية + +648 +01:09:02,730 --> 01:09:08,710 +بس بدك تروح تجيب مين الرونسكين تبع الحالين يبقى + +649 +01:09:08,710 --> 01:09:15,570 +الرونسكين تبع الحال الأول والحال الثاني بده يساوي + +650 +01:09:15,570 --> 01:09:23,110 +هذا X هذا X تربية واحد اتنين X اتنين X تربية ناقص + +651 +01:09:23,110 --> 01:09:29,820 +X تربية وبده يساوي قداش X تربية فقط لا غيرالان + +652 +01:09:29,820 --> 01:09:36,420 +بدنا نجيبله من ال U1 as a function of X يسوى ناقص + +653 +01:09:36,420 --> 01:09:45,020 +تكامل ال Y2 في ال G of X على ال رونسكين of X DX + +654 +01:09:45,020 --> 01:09:52,240 +يبقى ناقص تكامل Y2 هو عبارة عن X تربيع ال G of X + +655 +01:09:52,240 --> 01:09:57,100 +وينك أجيب هذه ال X في لن ال X + +656 +01:10:03,510 --> 01:10:10,390 +هو يسوي تكامل X لإن X DX + +657 +01:10:22,190 --> 01:10:28,230 +طيب ماشي مش مشكلة يبقى ال X لن ال X بيروح أخد ال U + +658 +01:10:28,230 --> 01:10:36,110 +تساوي لن ال X و ال DV بده يساوي ال X DX يبقى ال DU + +659 +01:10:36,110 --> 01:10:43,490 +بواحد على X DX و ال V بX تربيع على من؟ على الإتنين + +660 +01:10:43,490 --> 01:10:53,520 +يبقى هذا الكلام U في V يبقى نص X تربيع لن ال Xنقص + +661 +01:10:53,520 --> 01:11:01,160 +تكامل V دالي U هذي ال V و هذي اللي بيبقى نص X DX + +662 +01:11:01,160 --> 01:11:07,980 +مظبوط يبقى هاي V X تربيع على اتنين دالي U بواحد + +663 +01:11:07,980 --> 01:11:14,800 +على X DX يبقى بدنا نعطيكي نتيجة دغري يبقى نص X + +664 +01:11:14,800 --> 01:11:21,690 +تربيع في لن ال X ناقصهذه النص في الخارج و بيبقى X + +665 +01:11:21,690 --> 01:11:27,950 +تربيع على X تكاملة ب X تربيع على اتنين يعني بصيرة + +666 +01:11:27,950 --> 01:11:35,910 +هذه X تربيع على اربعة تمام؟ بدنا نروح نجيبله U + +667 +01:11:35,910 --> 01:11:44,170 +اتنينيبقى u2 as a function of x تكامل y1 في g of x + +668 +01:11:44,170 --> 01:11:52,650 +على رونسكين of x dx يبقى تكامل y1 هو بx وال g of x + +669 +01:11:52,650 --> 01:12:02,270 +هيب X لإن X على X تربيه DX يبقى تكامل لإن ال X DX + +670 +01:12:02,270 --> 01:12:08,390 +هذه ال standard حسبناها في Calculus B فكانت X لإن + +671 +01:12:08,390 --> 01:12:10,290 +X ناقص ال X + +672 +01:12:19,620 --> 01:12:29,540 +هنا سالب هنا سالب هنا سالب هنا موجب هنا سالب هنا + +673 +01:12:29,540 --> 01:12:36,020 +موجب ماشي خلصنا بس لتحت سليمة مائة بالمائة انا ان + +674 +01:12:36,020 --> 01:12:40,480 +خلصنا باجي هنا بشيل ال U واحد و بحط قمتها بشيل ال + +675 +01:12:40,480 --> 01:12:42,420 +U اتنين و بحط قمتها و بجبع + +676 +01:12:47,640 --> 01:12:51,660 +بكمل ولا خلاص؟ خلاص خلاص + +677 +01:13:08,630 --> 01:13:13,250 +الان بنجي للسؤال اللى بعده اللى هو السؤال الكمبيوت + +678 +01:13:13,250 --> 01:13:18,990 +لا بلاس ل T في U2 of T هذا إيش سوناها؟ شطبناها، + +679 +01:13:18,990 --> 01:13:24,730 +مظبوط؟ لإن هذا section ستة تلاتة، مظبوط؟ يبقى + +680 +01:13:24,730 --> 01:13:28,970 +أنسب، بروح لنمر بيه، خمسة نمر بيه قال use Laplace + +681 +01:13:28,970 --> 01:13:32,410 +transform to solve the differential equation بده + +682 +01:13:32,410 --> 01:13:39,110 +نستخدم Laplace transform لحل المعادلة YW primeنقص + +683 +01:13:39,110 --> 01:13:47,030 +y prime يساوي E of T في cos T و ال y عند ال zero + +684 +01:13:47,030 --> 01:13:51,590 +بدها تساوي ال y prime عند ال zero بدها تساوي zero + +685 +01:13:51,590 --> 01:13:59,270 +اظن هذا الشغل لليوم تمام لكن هو مشي لليوممو للمرة + +686 +01:13:59,270 --> 01:14:03,530 +الماضية فهذه اللي قبلها زي section 6 أتنين خدي + +687 +01:14:03,530 --> 01:14:08,950 +Laplace transform لثلاثة أطراف يبقى بيصير Laplace + +688 +01:14:08,950 --> 01:14:14,370 +transform ل YW prime ناقص Laplace transform ل Y + +689 +01:14:14,370 --> 01:14:21,700 +prime يبقى Laplace transform ل Eost cos Tهذا هو + +690 +01:14:21,700 --> 01:14:24,820 +S2YS + +691 +01:14:24,820 --> 01:14:29,080 +-SY0 + +692 +01:14:29,080 --> 01:14:38,280 +-Y'-Y0-SYS + +693 +01:14:38,280 --> 01:14:40,800 +-Y0 + +694 +01:14:50,600 --> 01:14:56,560 +هذه يا بنات Y عند الـ0 وهذه بـ0 وعندك هذه كمان + +695 +01:14:56,560 --> 01:15:06,920 +بيبقى الـDash بـ0 بيظل هذه يبقى S²-SYS + +696 +01:15:06,920 --> 01:15:12,620 +هذي كلها الطرف الشمالي والسعي بروح على الجدول على + +697 +01:15:12,620 --> 01:15:14,580 +ال E أسطى + +698 +01:15:16,660 --> 01:15:22,320 +الـ E و S T في Cos T اللي + +699 +01:15:22,320 --> 01:15:28,280 +هو رقم كده؟ عشرة علمًا بأن الـ A و الـ B بواحد + +700 +01:15:28,280 --> 01:15:37,660 +يبقى S ناقص واحد على S ناقص واحد لكل تربية زي واحد + +701 +01:15:37,660 --> 01:15:47,420 +يبقى Sناقص واحد على S ناقص واحد لكل تربية زائد + +702 +01:15:47,420 --> 01:15:54,840 +واحد طيب هذه الملات بقدر اقول هذه اللي هو S في S + +703 +01:15:54,840 --> 01:16:01,540 +ناقص واحد في capital Y of S بده يساوي S ناقص واحد + +704 +01:16:01,540 --> 01:16:07,050 +على S ناقص واحد لكل تربية زايد مان زايد واحدأظن S + +705 +01:16:07,050 --> 01:16:12,210 +ناقص واحد مع S ناقص واحد مع السلامة يبقى بيصير + +706 +01:16:12,210 --> 01:16:20,910 +capital Y of S بده يساوي بده يساوي واحد على مين + +707 +01:16:20,910 --> 01:16:28,880 +على S هذهلو جيت فكتها مانعش بصير S تربيع نقص اتنين + +708 +01:16:28,880 --> 01:16:37,220 +S زائد وزائد واحد زائد اتنين يبقى S تربيع نقص + +709 +01:16:37,220 --> 01:16:44,480 +اتنين S زائد اتنين بدك تعملي لها partial fraction + +710 +01:16:44,480 --> 01:16:51,690 +وبروح بنكمليبقى بصير capital Y of S بيساوي A على S + +711 +01:16:51,690 --> 01:16:59,690 +زائد B S زائد C على S تربيع نقص اتنين S زائد اتنين + +712 +01:16:59,690 --> 01:17:04,570 +وعملتلك واحدة زيها من خلال الامثلة في section 6 2 + +713 +01:17:04,570 --> 01:17:10,590 +بالذات تمام يبقى بنكمل و بنجيب ال plus and minus + +714 +01:17:10,590 --> 01:17:17,950 +بيكون حصلنا على مين على الحلأخر سؤال بيقول استخدم + +715 +01:17:17,950 --> 01:17:23,010 +ال series solution مشان اتحل هذا حوالين ال + +716 +01:17:23,010 --> 01:17:25,170 +ordinary point + +717 +01:17:37,700 --> 01:17:42,660 +أخر سؤال حل المعادلات التفاضلية باستخدام + +718 +01:17:42,660 --> 01:17:53,460 +المتسلسلات ماطين المعادلة التفاضلية بنات Y''زائد + +719 +01:17:53,460 --> 01:17:57,320 +2XY بيبقى يساوي 0 + +720 +01:18:10,920 --> 01:18:21,360 +ان زائد اتنين يساوي ناقص اتنين ان ناقص واحد على ان + +721 +01:18:21,360 --> 01:18:29,000 +زائد واحد في مين في ان زائد اتمام and then use it + +722 +01:18:29,000 --> 01:18:31,300 +to find the serious solution of the given + +723 +01:18:31,300 --> 01:18:38,700 +differential equation ويكون هك خلص الامتحان تمام؟ + +724 +01:18:38,700 --> 01:18:45,350 +طيبأنا إذا معايا وقت زي ما تلاحظين فيه وقت فيه وقت + +725 +01:18:45,350 --> 01:18:50,330 +فطلبت جيبي للحل كاملا إذا عندي أسئلة كتير بقوم + +726 +01:18:50,330 --> 01:18:55,230 +باختصر النص بقولك find the recurrence relation of + +727 +01:18:55,230 --> 01:18:58,510 +the differential equation هدى وبسكت عند النقطة + +728 +01:18:58,510 --> 01:19:03,310 +الفلانية وبعطيك نقطة ماشي يعني بدك إياك تجيبي لهدا + +729 +01:19:03,310 --> 01:19:08,060 +و توقفي مش تروح تجيبي لهدا و تكمليلو اجبتلك سؤال + +730 +01:19:08,060 --> 01:19:11,360 +بدك تدقيقه كويس اذا قولتلك هاتيلي ال series + +731 +01:19:11,360 --> 01:19:15,140 +solution او هذا مطلوب مطلوبين المطلوب لو قولتلي + +732 +01:19:15,140 --> 01:19:20,400 +اثبتلي ان اريك current relation هذه هي طبعا بتروح + +733 +01:19:20,400 --> 01:19:25,760 +اشتق مرة و مرتين و اعوض و اغير ال index تبع ال + +734 +01:19:25,760 --> 01:19:29,720 +summation و اعمل مقارنة بين الطرفين بوصل للمعادلة + +735 +01:19:29,720 --> 01:19:36,510 +هذه مظبوط طيب ماعرفتش اوصل لهابسيبها و بروح باخد + +736 +01:19:36,510 --> 01:19:40,010 +هذه و بكمل لإن انا ماقدرتش اتفضل يبقى هذه الصح و + +737 +01:19:40,010 --> 01:19:43,850 +اللي ماقدرتش اجيبها هي غلط ماقدرتش انا بحط علامات + +738 +01:19:43,850 --> 01:19:49,680 +على قداش حاولتي لوين وصلتي تمام؟ماتوصلتيش نتيجة مش + +739 +01:19:49,680 --> 01:19:53,780 +اللي جبتيها غلط روح اتكمليه بقى لأ بروح باخد الصح + +740 +01:19:53,780 --> 01:19:57,760 +هذي و بتكملي بقى لجتك بتعرف تكملي بهذا خلاص يبقى + +741 +01:19:57,760 --> 01:20:01,300 +بتاخدي بقى جالع المبتلغ مارحش عليك كتير يبقى انا + +742 +01:20:01,300 --> 01:20:05,580 +غشتك لكن لو روح تقول فيك you will see the solution + +743 +01:20:05,580 --> 01:20:09,600 +to solve the differential equation about x not + +744 +01:20:09,600 --> 01:20:14,800 +تساوي zero و سكتيبقى لحالك وزيك تروح تجيبي ال + +745 +01:20:14,800 --> 01:20:18,360 +recurrence relation وانت مش عارف أيه صح ولا غلط، + +746 +01:20:18,360 --> 01:20:21,860 +بس لما أقولك show that يعني كان يبقى تفضل يهيي + +747 +01:20:21,860 --> 01:20:27,100 +الجواب بسطة ليلية، تمام؟ يبقى مش هرياحلك يكون وإن + +748 +01:20:27,100 --> 01:20:32,280 +قلتلك هتيه وسكت، يبقى جيبيه واللي بتجيبيه هو إليك + +749 +01:20:32,830 --> 01:20:39,610 +خلصنا؟ يبقى بدك تروح تفرض الحل على الصيغة Y تساوي + +750 +01:20:39,610 --> 01:20:48,230 +summation من N equal zero to infinity لمن؟ لل A N + +751 +01:20:48,370 --> 01:20:53,790 +للـ X to the power n ليش؟ لأن X node بي Zero لكن + +752 +01:20:53,790 --> 01:20:57,310 +لو قالي X node بواحد و الله اتنين و الله تلاتة + +753 +01:20:57,310 --> 01:21:03,210 +بروح بقوله X ناقص واحد كله أسن و بروح بشتقل مرتين + +754 +01:21:03,210 --> 01:21:06,470 +و بغير ال shift لل index و بجيب له recurrence + +755 +01:21:06,470 --> 01:21:10,990 +relation بعد هيك بعوض مرة باتنين مرة بتلاتة مرة + +756 +01:21:10,990 --> 01:21:12,710 +باربع مرة بخمسة في ال + +757 +01:21:17,330 --> 01:21:22,750 +لو طلبه اذا بتقدر اجيبي شكل الحد نوني اهلا وسهلا + +758 +01:21:22,750 --> 01:21:27,330 +بتقدريش بس جيبيلي اول مجموع اول a1 في اول تلات + +759 +01:21:27,330 --> 01:21:30,930 +حدود زائد a1 في اول تلات حدود والله يعطيك العافية + +760 +01:21:30,930 --> 01:21:34,110 +اذا كان مش قادر اجيبي شكل الحد نوني يبقى هى + +761 +01:21:34,110 --> 01:21:37,630 +serious زى ما انت طلبته جيبتلعقلك مجموع اللى هو + +762 +01:21:37,630 --> 01:21:44,540 +two termsتمام؟ لحد هنا stop انتهينا من الامتحان و + +763 +01:21:44,540 --> 01:21:48,580 +هذا الامتحان كان خاص ايه بلا واحد ماحدش كان شريكي + +764 +01:21:48,580 --> 01:21:53,760 +في المادة تمام؟ بس المرة دي ايه الشريك؟ زي ما قلت + +765 +01:21:53,760 --> 01:21:58,140 +تواسيها بالنيام مشترك يعني انتوا اقترحتوا علم ان + +766 +01:21:58,140 --> 01:22:04,300 +احنا متفقين نكون شركة برضه حد بتسأل اي سؤال في ما + +767 +01:22:04,300 --> 01:22:05,440 +فات؟ + diff --git a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/p2HJ4Qe0scU_raw.json b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/p2HJ4Qe0scU_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..d93d0204449c3ad70e62861a41eab944788943a3 --- /dev/null +++ b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/p2HJ4Qe0scU_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 254, "start": 0.0, "end": 2.54, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.2719726661841075, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.005168914794921875, "words": [{"start": 0.0, "end": 2.54, "word": "موسيقى", "probability": 0.76591796875}], "temperature": 1.0}, {"id": 2, "seek": 2971, "start": 10.75, "end": 29.71, "text": "بسم الله الرحمن الرحيم للمرة اللى فاتت 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C اللي عندهمين اتنين بايم من المرة الماضية او من الجدول", "tokens": [40228, 22653, 8032, 8848, 1829, 5296, 16758, 15040, 3794, 16472, 5172, 2288, 3794, 5296, 11296, 4724, 9381, 9957, 3660, 314, 46599, 1863, 25957, 1211, 5296, 11296, 5513, 4724, 2304, 28543, 9640, 2423, 383, 13672, 1829, 43242, 16095, 9957, 1975, 2655, 1863, 9957, 4724, 995, 32640, 9154, 9673, 25720, 9673, 46958, 10632, 1975, 2407, 9154, 25724, 3215, 12610], "avg_logprob": -0.38038794439414453, "compression_ratio": 1.4817518248175183, "no_speech_prob": 0.0, "words": [{"start": 1770.78, "end": 1771.42, "word": "يعني", "probability": 0.590087890625}, {"start": 1771.42, "end": 1772.96, "word": " هذي", "probability": 0.3916829427083333}, {"start": 1772.96, "end": 1773.78, "word": " لابلاس", "probability": 0.50091552734375}, {"start": 1773.78, "end": 1774.38, "word": " انفرس", "probability": 0.818603515625}, {"start": 1774.38, "end": 1774.7, "word": " لها", "probability": 0.554412841796875}, {"start": 1774.7, "end": 1775.54, 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"text": "وليس التالي يبقى الإجابة الصحيحة يقول all of the above be listed now نقطة نمرة C نمرة C بيقول any separable equation", "tokens": [2407, 20292, 3794, 16712, 6027, 1829, 7251, 3555, 4587, 7578, 33688, 7435, 16758, 3660, 31767, 5016, 1829, 5016, 3660, 7251, 39648, 439, 295, 264, 3673, 312, 10052, 586, 8717, 47432, 3660, 8717, 2304, 25720, 383, 8717, 2304, 25720, 383, 4724, 1829, 39648, 604, 3128, 712, 5367], "avg_logprob": -0.3071808434547262, "compression_ratio": 1.25, "no_speech_prob": 0.0, "words": [{"start": 2161.43, "end": 2162.17, "word": "وليس", "probability": 0.74658203125}, {"start": 2162.17, "end": 2162.65, "word": " التالي", "probability": 0.6280110677083334}, {"start": 2162.65, "end": 2163.23, "word": " يبقى", "probability": 0.9029541015625}, {"start": 2163.23, "end": 2163.83, "word": " الإجابة", "probability": 0.9708251953125}, {"start": 2163.83, "end": 2164.89, "word": " الصحيحة", "probability": 0.97275390625}, {"start": 2164.89, "end": 2165.71, "word": " يقول", 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كده؟ يساوي 6x اذا لو روحت جبتلهم الرنسكن بالشكل التالي الرنسكن تبع ال F و ال G بده يساوي المحدد الأولى هي ال F of X ال G اللي هي ال F of X ناقص 3", "tokens": [45636, 995, 1975, 8315, 45164, 10874, 3555, 2655, 1211, 16095, 34892, 1863, 3794, 19452, 7251, 39648, 34892, 1863, 3794, 19452, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 7251, 3794, 995, 45865, 1386, 87, 1975, 15730, 45164, 12602, 2407, 33753, 10874, 3555, 2655, 1211, 16095, 34892, 1863, 3794, 19452, 20666, 8592, 28820, 16712, 6027, 1829, 34892, 1863, 3794, 19452, 6055, 3555, 3615, 2423, 479, 4032, 2423, 460, 47525, 3224, 7251, 3794, 995, 45865, 9673, 24401, 3215, 16247, 12610, 7578, 39896, 2423, 479, 295, 1783, 2423, 460, 13672, 1829, 39896, 2423, 479, 295, 1783, 8717, 995, 4587, 9381, 805], "avg_logprob": -0.27004417746958104, "compression_ratio": 1.9457831325301205, "no_speech_prob": 0.0, "words": [{"start": 2563.14, "end": 2563.68, "word": "اذا", "probability": 0.52752685546875}, {"start": 2563.68, "end": 2564.02, 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0.981201171875}, {"start": 3481.9, "end": 3482.56, "word": " الثانية", "probability": 0.9002685546875}, {"start": 3482.56, "end": 3482.96, "word": " هي", "probability": 0.7841796875}, {"start": 3482.96, "end": 3484.28, "word": " نفسها", "probability": 0.9959309895833334}, {"start": 3484.28, "end": 3486.04, "word": " ناقص", "probability": 0.9578857421875}, {"start": 3486.04, "end": 3486.7, "word": " ثمانية", "probability": 0.9757080078125}, {"start": 3486.7, "end": 3487.12, "word": " Y", "probability": 0.97607421875}, {"start": 3487.12, "end": 3487.86, "word": " W", "probability": 0.97509765625}, {"start": 3487.86, "end": 3488.56, "word": " Prime", "probability": 0.9150390625}, {"start": 3488.56, "end": 3489.6, "word": " زائد", "probability": 0.9422200520833334}, {"start": 3489.6, "end": 3490.66, "word": " ستاشر", "probability": 0.9786376953125}, {"start": 3490.66, "end": 3491.1, "word": " Y", "probability": 0.9931640625}, {"start": 3491.1, "end": 3492.32, "word": " يساوي", "probability": 0.9771728515625}, {"start": 3492.32, "end": 3492.96, "word": " T", "probability": 0.9521484375}, {"start": 3492.96, "end": 3493.44, "word": " في", "probability": 0.92236328125}, {"start": 3493.44, "end": 3493.74, "word": " E", "probability": 0.9833984375}, {"start": 3493.74, "end": 3494.06, "word": " أس", "probability": 0.746826171875}, {"start": 3494.06, "end": 3494.68, "word": " ناقص", "probability": 0.9879150390625}, {"start": 3494.68, "end": 3494.98, "word": " T", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 158, "seek": 352629, "start": 3497.27, "end": 3526.29, "text": "إذا الـ Particular solution لهذه المعادلة يبدو يساوي T to the power S هذه الـ exponential لحالها يبقى في عندنا هنا كولونوميا الملددرجة الصفرية بحطله constant فقط في E أس 2T", "tokens": [28814, 15730, 2423, 39184, 4100, 14646, 3827, 46740, 24192, 9673, 3615, 18513, 37977, 7251, 44510, 2407, 7251, 3794, 995, 45865, 314, 281, 264, 1347, 318, 29538, 2423, 39184, 21510, 5296, 5016, 6027, 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prime عند ال zero بدها تساوي zero اظن هذا الشغل لليوم تمام لكن هو مشي لليوم", "tokens": [1863, 4587, 9381, 288, 5835, 7251, 3794, 995, 45865, 462, 295, 314, 8978, 3792, 314, 4032, 2423, 288, 43242, 2423, 4018, 47525, 11296, 6055, 3794, 995, 45865, 2423, 288, 5835, 43242, 2423, 4018, 47525, 11296, 6055, 3794, 995, 45865, 4018, 1975, 19913, 1863, 23758, 25124, 17082, 1211, 5296, 20292, 20498, 46811, 10943, 44381, 31439, 37893, 1829, 5296, 20292, 20498], "avg_logprob": -0.40546873658895494, "compression_ratio": 1.6176470588235294, "no_speech_prob": 0.0, "words": [{"start": 4418.23, "end": 4419.11, "word": "نقص", "probability": 0.6068115234375}, {"start": 4419.11, "end": 4419.45, "word": " y", "probability": 0.611328125}, {"start": 4419.45, "end": 4420.09, "word": " prime", "probability": 0.201171875}, {"start": 4420.09, "end": 4421.09, "word": " يساوي", "probability": 0.68865966796875}, {"start": 4421.09, "end": 4421.47, "word": " E", "probability": 0.67236328125}, {"start": 4421.47, 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بقى جالع المبتلغ مارحش عليك كتير يبقى انا غشتك لكن لو روح تقول فيك you will see the solution to solve the differential equation about x not تساوي zero و سكت", "tokens": [2304, 9307, 2407, 36520, 31371, 8592, 8717, 31371, 7435, 3660, 37893, 13672, 1829, 10874, 3555, 31371, 11296, 32771, 1211, 9566, 12602, 2407, 5016, 1975, 2655, 24793, 20292, 3224, 4724, 4587, 7578, 5296, 10721, 4724, 32887, 5016, 4724, 47283, 3215, 31767, 5016, 8032, 8848, 1829, 4032, 39894, 24793, 20292, 4724, 4587, 7578, 5296, 7435, 2655, 4117, 39894, 3615, 28480, 6055, 24793, 20292, 39627, 15730, 16490, 1211, 33546, 7251, 3555, 4587, 7578, 39894, 47283, 16254, 4724, 4587, 7578, 10874, 6027, 3615, 9673, 3555, 2655, 1211, 17082, 3714, 9640, 5016, 8592, 25894, 4117, 9122, 2655, 13546, 7251, 3555, 4587, 7578, 1975, 8315, 32771, 8592, 2655, 4117, 44381, 45164, 12602, 2407, 5016, 6055, 39648, 8978, 4117, 291, 486, 536, 264, 3827, 281, 5039, 264, 15756, 5367, 466, 2031, 406, 6055, 3794, 995, 45865, 4018, 4032, 8608, 4117, 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