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1
4190-4193
6 A 3 0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis The magnetic field inside the solenoid is given to be 0 27 T
1
4191-4194
0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis The magnetic field inside the solenoid is given to be 0 27 T What is the magnetic force on the wire
1
4192-4195
The magnetic field inside the solenoid is given to be 0 27 T What is the magnetic force on the wire 4
1
4193-4196
27 T What is the magnetic force on the wire 4 7 Two long and parallel straight wires A and B carrying currents of 8
1
4194-4197
What is the magnetic force on the wire 4 7 Two long and parallel straight wires A and B carrying currents of 8 0 A and 5
1
4195-4198
4 7 Two long and parallel straight wires A and B carrying currents of 8 0 A and 5 0 A in the same direction are separated by a distance of 4
1
4196-4199
7 Two long and parallel straight wires A and B carrying currents of 8 0 A and 5 0 A in the same direction are separated by a distance of 4 0 cm
1
4197-4200
0 A and 5 0 A in the same direction are separated by a distance of 4 0 cm Estimate the force on a 10 cm section of wire A
1
4198-4201
0 A in the same direction are separated by a distance of 4 0 cm Estimate the force on a 10 cm section of wire A 4
1
4199-4202
0 cm Estimate the force on a 10 cm section of wire A 4 8 A closely wound solenoid 80 cm long has 5 layers of windings of 400 turns each
1
4200-4203
Estimate the force on a 10 cm section of wire A 4 8 A closely wound solenoid 80 cm long has 5 layers of windings of 400 turns each The diameter of the solenoid is 1
1
4201-4204
4 8 A closely wound solenoid 80 cm long has 5 layers of windings of 400 turns each The diameter of the solenoid is 1 8 cm
1
4202-4205
8 A closely wound solenoid 80 cm long has 5 layers of windings of 400 turns each The diameter of the solenoid is 1 8 cm If the current carried is 8
1
4203-4206
The diameter of the solenoid is 1 8 cm If the current carried is 8 0 A, estimate the magnitude of B inside the solenoid near its centre
1
4204-4207
8 cm If the current carried is 8 0 A, estimate the magnitude of B inside the solenoid near its centre 4
1
4205-4208
If the current carried is 8 0 A, estimate the magnitude of B inside the solenoid near its centre 4 9 A square coil of side 10 cm consists of 20 turns and carries a current of 12 A
1
4206-4209
0 A, estimate the magnitude of B inside the solenoid near its centre 4 9 A square coil of side 10 cm consists of 20 turns and carries a current of 12 A The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30º with the direction of a uniform horizontal magnetic field of magnitude 0
1
4207-4210
4 9 A square coil of side 10 cm consists of 20 turns and carries a current of 12 A The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30º with the direction of a uniform horizontal magnetic field of magnitude 0 80 T
1
4208-4211
9 A square coil of side 10 cm consists of 20 turns and carries a current of 12 A The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30º with the direction of a uniform horizontal magnetic field of magnitude 0 80 T What is the magnitude of torque experienced by the coil
1
4209-4212
The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30º with the direction of a uniform horizontal magnetic field of magnitude 0 80 T What is the magnitude of torque experienced by the coil 4
1
4210-4213
80 T What is the magnitude of torque experienced by the coil 4 10 Two moving coil meters, M1 and M2 have the following particulars: R1 = 10 W, N1 = 30, A1 = 3
1
4211-4214
What is the magnitude of torque experienced by the coil 4 10 Two moving coil meters, M1 and M2 have the following particulars: R1 = 10 W, N1 = 30, A1 = 3 6 × 10–3 m2, B1 = 0
1
4212-4215
4 10 Two moving coil meters, M1 and M2 have the following particulars: R1 = 10 W, N1 = 30, A1 = 3 6 × 10–3 m2, B1 = 0 25 T R2 = 14 W, N2 = 42, A2 = 1
1
4213-4216
10 Two moving coil meters, M1 and M2 have the following particulars: R1 = 10 W, N1 = 30, A1 = 3 6 × 10–3 m2, B1 = 0 25 T R2 = 14 W, N2 = 42, A2 = 1 8 × 10–3 m2, B2 = 0
1
4214-4217
6 × 10–3 m2, B1 = 0 25 T R2 = 14 W, N2 = 42, A2 = 1 8 × 10–3 m2, B2 = 0 50 T (The spring constants are identical for the two meters)
1
4215-4218
25 T R2 = 14 W, N2 = 42, A2 = 1 8 × 10–3 m2, B2 = 0 50 T (The spring constants are identical for the two meters) Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M2 and M1
1
4216-4219
8 × 10–3 m2, B2 = 0 50 T (The spring constants are identical for the two meters) Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M2 and M1 4
1
4217-4220
50 T (The spring constants are identical for the two meters) Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M2 and M1 4 11 In a chamber, a uniform magnetic field of 6
1
4218-4221
Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M2 and M1 4 11 In a chamber, a uniform magnetic field of 6 5 G (1 G = 10–4 T) is maintained
1
4219-4222
4 11 In a chamber, a uniform magnetic field of 6 5 G (1 G = 10–4 T) is maintained An electron is shot into the field with a speed of 4
1
4220-4223
11 In a chamber, a uniform magnetic field of 6 5 G (1 G = 10–4 T) is maintained An electron is shot into the field with a speed of 4 8 × 106 m s–1 normal to the field
1
4221-4224
5 G (1 G = 10–4 T) is maintained An electron is shot into the field with a speed of 4 8 × 106 m s–1 normal to the field Explain why the path of the electron is a circle
1
4222-4225
An electron is shot into the field with a speed of 4 8 × 106 m s–1 normal to the field Explain why the path of the electron is a circle Determine the radius of the circular orbit
1
4223-4226
8 × 106 m s–1 normal to the field Explain why the path of the electron is a circle Determine the radius of the circular orbit (e = 1
1
4224-4227
Explain why the path of the electron is a circle Determine the radius of the circular orbit (e = 1 5 × 10–19 C, me = 9
1
4225-4228
Determine the radius of the circular orbit (e = 1 5 × 10–19 C, me = 9 1×10–31 kg) 4
1
4226-4229
(e = 1 5 × 10–19 C, me = 9 1×10–31 kg) 4 12 In Exercise 4
1
4227-4230
5 × 10–19 C, me = 9 1×10–31 kg) 4 12 In Exercise 4 11 obtain the frequency of revolution of the electron in its circular orbit
1
4228-4231
1×10–31 kg) 4 12 In Exercise 4 11 obtain the frequency of revolution of the electron in its circular orbit Does the answer depend on the speed of the electron
1
4229-4232
12 In Exercise 4 11 obtain the frequency of revolution of the electron in its circular orbit Does the answer depend on the speed of the electron Explain
1
4230-4233
11 obtain the frequency of revolution of the electron in its circular orbit Does the answer depend on the speed of the electron Explain 4
1
4231-4234
Does the answer depend on the speed of the electron Explain 4 13 (a) A circular coil of 30 turns and radius 8
1
4232-4235
Explain 4 13 (a) A circular coil of 30 turns and radius 8 0 cm carrying a current of 6
1
4233-4236
4 13 (a) A circular coil of 30 turns and radius 8 0 cm carrying a current of 6 0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1
1
4234-4237
13 (a) A circular coil of 30 turns and radius 8 0 cm carrying a current of 6 0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1 0 T
1
4235-4238
0 cm carrying a current of 6 0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1 0 T The field lines make an angle of 60° with the normal of the coil
1
4236-4239
0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1 0 T The field lines make an angle of 60° with the normal of the coil Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning
1
4237-4240
0 T The field lines make an angle of 60° with the normal of the coil Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning (b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area
1
4238-4241
The field lines make an angle of 60° with the normal of the coil Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning (b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area (All other particulars are also unaltered
1
4239-4242
Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning (b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area (All other particulars are also unaltered ) Rationalised 2023-24 Physics 136 5
1
4240-4243
(b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area (All other particulars are also unaltered ) Rationalised 2023-24 Physics 136 5 1 INTRODUCTION Magnetic phenomena are universal in nature
1
4241-4244
(All other particulars are also unaltered ) Rationalised 2023-24 Physics 136 5 1 INTRODUCTION Magnetic phenomena are universal in nature Vast, distant galaxies, the tiny invisible atoms, humans and beasts all are permeated through and through with a host of magnetic fields from a variety of sources
1
4242-4245
) Rationalised 2023-24 Physics 136 5 1 INTRODUCTION Magnetic phenomena are universal in nature Vast, distant galaxies, the tiny invisible atoms, humans and beasts all are permeated through and through with a host of magnetic fields from a variety of sources The earth’s magnetism predates human evolution
1
4243-4246
1 INTRODUCTION Magnetic phenomena are universal in nature Vast, distant galaxies, the tiny invisible atoms, humans and beasts all are permeated through and through with a host of magnetic fields from a variety of sources The earth’s magnetism predates human evolution The word magnet is derived from the name of an island in Greece called magnesia where magnetic ore deposits were found, as early as 600 BC
1
4244-4247
Vast, distant galaxies, the tiny invisible atoms, humans and beasts all are permeated through and through with a host of magnetic fields from a variety of sources The earth’s magnetism predates human evolution The word magnet is derived from the name of an island in Greece called magnesia where magnetic ore deposits were found, as early as 600 BC In the previous chapter we have learned that moving charges or electric currents produce magnetic fields
1
4245-4248
The earth’s magnetism predates human evolution The word magnet is derived from the name of an island in Greece called magnesia where magnetic ore deposits were found, as early as 600 BC In the previous chapter we have learned that moving charges or electric currents produce magnetic fields This discovery, which was made in the early part of the nineteenth century is credited to Oersted, Ampere, Biot and Savart, among others
1
4246-4249
The word magnet is derived from the name of an island in Greece called magnesia where magnetic ore deposits were found, as early as 600 BC In the previous chapter we have learned that moving charges or electric currents produce magnetic fields This discovery, which was made in the early part of the nineteenth century is credited to Oersted, Ampere, Biot and Savart, among others In the present chapter, we take a look at magnetism as a subject in its own right
1
4247-4250
In the previous chapter we have learned that moving charges or electric currents produce magnetic fields This discovery, which was made in the early part of the nineteenth century is credited to Oersted, Ampere, Biot and Savart, among others In the present chapter, we take a look at magnetism as a subject in its own right Some of the commonly known ideas regarding magnetism are: (i) The earth behaves as a magnet with the magnetic field pointing approximately from the geographic south to the north
1
4248-4251
This discovery, which was made in the early part of the nineteenth century is credited to Oersted, Ampere, Biot and Savart, among others In the present chapter, we take a look at magnetism as a subject in its own right Some of the commonly known ideas regarding magnetism are: (i) The earth behaves as a magnet with the magnetic field pointing approximately from the geographic south to the north (ii) When a bar magnet is freely suspended, it points in the north-south direction
1
4249-4252
In the present chapter, we take a look at magnetism as a subject in its own right Some of the commonly known ideas regarding magnetism are: (i) The earth behaves as a magnet with the magnetic field pointing approximately from the geographic south to the north (ii) When a bar magnet is freely suspended, it points in the north-south direction The tip which points to the geographic north is called the north pole and the tip which points to the geographic south is called the south pole of the magnet
1
4250-4253
Some of the commonly known ideas regarding magnetism are: (i) The earth behaves as a magnet with the magnetic field pointing approximately from the geographic south to the north (ii) When a bar magnet is freely suspended, it points in the north-south direction The tip which points to the geographic north is called the north pole and the tip which points to the geographic south is called the south pole of the magnet Chapter Five MAGNETISM AND MATTER Rationalised 2023-24 137 Magnetism and Matter (iii) There is a repulsive force when north poles ( or south poles ) of two magnets are brought close together
1
4251-4254
(ii) When a bar magnet is freely suspended, it points in the north-south direction The tip which points to the geographic north is called the north pole and the tip which points to the geographic south is called the south pole of the magnet Chapter Five MAGNETISM AND MATTER Rationalised 2023-24 137 Magnetism and Matter (iii) There is a repulsive force when north poles ( or south poles ) of two magnets are brought close together Conversely, there is an attractive force between the north pole of one magnet and the south pole of the other
1
4252-4255
The tip which points to the geographic north is called the north pole and the tip which points to the geographic south is called the south pole of the magnet Chapter Five MAGNETISM AND MATTER Rationalised 2023-24 137 Magnetism and Matter (iii) There is a repulsive force when north poles ( or south poles ) of two magnets are brought close together Conversely, there is an attractive force between the north pole of one magnet and the south pole of the other (iv) We cannot isolate the north, or south pole of a magnet
1
4253-4256
Chapter Five MAGNETISM AND MATTER Rationalised 2023-24 137 Magnetism and Matter (iii) There is a repulsive force when north poles ( or south poles ) of two magnets are brought close together Conversely, there is an attractive force between the north pole of one magnet and the south pole of the other (iv) We cannot isolate the north, or south pole of a magnet If a bar magnet is broken into two halves, we get two similar bar magnets with somewhat weaker properties
1
4254-4257
Conversely, there is an attractive force between the north pole of one magnet and the south pole of the other (iv) We cannot isolate the north, or south pole of a magnet If a bar magnet is broken into two halves, we get two similar bar magnets with somewhat weaker properties Unlike electric charges, isolated magnetic north and south poles known as magnetic monopoles do not exist
1
4255-4258
(iv) We cannot isolate the north, or south pole of a magnet If a bar magnet is broken into two halves, we get two similar bar magnets with somewhat weaker properties Unlike electric charges, isolated magnetic north and south poles known as magnetic monopoles do not exist (v) It is possible to make magnets out of iron and its alloys
1
4256-4259
If a bar magnet is broken into two halves, we get two similar bar magnets with somewhat weaker properties Unlike electric charges, isolated magnetic north and south poles known as magnetic monopoles do not exist (v) It is possible to make magnets out of iron and its alloys We begin with a description of a bar magnet and its behaviour in an external magnetic field
1
4257-4260
Unlike electric charges, isolated magnetic north and south poles known as magnetic monopoles do not exist (v) It is possible to make magnets out of iron and its alloys We begin with a description of a bar magnet and its behaviour in an external magnetic field We describe Gauss’s law of magnetism
1
4258-4261
(v) It is possible to make magnets out of iron and its alloys We begin with a description of a bar magnet and its behaviour in an external magnetic field We describe Gauss’s law of magnetism We then follow it up with an account of the earth’s magnetic field
1
4259-4262
We begin with a description of a bar magnet and its behaviour in an external magnetic field We describe Gauss’s law of magnetism We then follow it up with an account of the earth’s magnetic field We next describe how materials can be classified on the basis of their magnetic properties
1
4260-4263
We describe Gauss’s law of magnetism We then follow it up with an account of the earth’s magnetic field We next describe how materials can be classified on the basis of their magnetic properties We describe para-, dia-, and ferromagnetism
1
4261-4264
We then follow it up with an account of the earth’s magnetic field We next describe how materials can be classified on the basis of their magnetic properties We describe para-, dia-, and ferromagnetism We conclude with a section on electromagnets and permanent magnets
1
4262-4265
We next describe how materials can be classified on the basis of their magnetic properties We describe para-, dia-, and ferromagnetism We conclude with a section on electromagnets and permanent magnets 5
1
4263-4266
We describe para-, dia-, and ferromagnetism We conclude with a section on electromagnets and permanent magnets 5 2 THE BAR MAGNET One of the earliest childhood memories of the famous physicist Albert Einstein was that of a magnet gifted to him by a relative
1
4264-4267
We conclude with a section on electromagnets and permanent magnets 5 2 THE BAR MAGNET One of the earliest childhood memories of the famous physicist Albert Einstein was that of a magnet gifted to him by a relative Einstein was fascinated, and played endlessly with it
1
4265-4268
5 2 THE BAR MAGNET One of the earliest childhood memories of the famous physicist Albert Einstein was that of a magnet gifted to him by a relative Einstein was fascinated, and played endlessly with it He wondered how the magnet could affect objects such as nails or pins placed away from it and not in any way connected to it by a spring or string
1
4266-4269
2 THE BAR MAGNET One of the earliest childhood memories of the famous physicist Albert Einstein was that of a magnet gifted to him by a relative Einstein was fascinated, and played endlessly with it He wondered how the magnet could affect objects such as nails or pins placed away from it and not in any way connected to it by a spring or string We begin our study by examining iron filings sprinkled on a sheet of glass placed over a short bar magnet
1
4267-4270
Einstein was fascinated, and played endlessly with it He wondered how the magnet could affect objects such as nails or pins placed away from it and not in any way connected to it by a spring or string We begin our study by examining iron filings sprinkled on a sheet of glass placed over a short bar magnet The arrangement of iron filings is shown in Fig
1
4268-4271
He wondered how the magnet could affect objects such as nails or pins placed away from it and not in any way connected to it by a spring or string We begin our study by examining iron filings sprinkled on a sheet of glass placed over a short bar magnet The arrangement of iron filings is shown in Fig 5
1
4269-4272
We begin our study by examining iron filings sprinkled on a sheet of glass placed over a short bar magnet The arrangement of iron filings is shown in Fig 5 1
1
4270-4273
The arrangement of iron filings is shown in Fig 5 1 The pattern of iron filings suggests that the magnet has two poles similar to the positive and negative charge of an electric dipole
1
4271-4274
5 1 The pattern of iron filings suggests that the magnet has two poles similar to the positive and negative charge of an electric dipole As mentioned in the introductory section, one pole is designated the North pole and the other, the South pole
1
4272-4275
1 The pattern of iron filings suggests that the magnet has two poles similar to the positive and negative charge of an electric dipole As mentioned in the introductory section, one pole is designated the North pole and the other, the South pole When suspended freely, these poles point approximately towards the geographic north and south poles, respectively
1
4273-4276
The pattern of iron filings suggests that the magnet has two poles similar to the positive and negative charge of an electric dipole As mentioned in the introductory section, one pole is designated the North pole and the other, the South pole When suspended freely, these poles point approximately towards the geographic north and south poles, respectively A similar pattern of iron filings is observed around a current carrying solenoid
1
4274-4277
As mentioned in the introductory section, one pole is designated the North pole and the other, the South pole When suspended freely, these poles point approximately towards the geographic north and south poles, respectively A similar pattern of iron filings is observed around a current carrying solenoid 5
1
4275-4278
When suspended freely, these poles point approximately towards the geographic north and south poles, respectively A similar pattern of iron filings is observed around a current carrying solenoid 5 2
1
4276-4279
A similar pattern of iron filings is observed around a current carrying solenoid 5 2 1 The magnetic field lines The pattern of iron filings permits us to plot the magnetic field lines*
1
4277-4280
5 2 1 The magnetic field lines The pattern of iron filings permits us to plot the magnetic field lines* This is shown both for the bar-magnet and the current-carrying solenoid in Fig
1
4278-4281
2 1 The magnetic field lines The pattern of iron filings permits us to plot the magnetic field lines* This is shown both for the bar-magnet and the current-carrying solenoid in Fig 5
1
4279-4282
1 The magnetic field lines The pattern of iron filings permits us to plot the magnetic field lines* This is shown both for the bar-magnet and the current-carrying solenoid in Fig 5 2
1
4280-4283
This is shown both for the bar-magnet and the current-carrying solenoid in Fig 5 2 For comparison refer to the Chapter 1, Figure 1
1
4281-4284
5 2 For comparison refer to the Chapter 1, Figure 1 17(d)
1
4282-4285
2 For comparison refer to the Chapter 1, Figure 1 17(d) Electric field lines of an electric dipole are also displayed in Fig
1
4283-4286
For comparison refer to the Chapter 1, Figure 1 17(d) Electric field lines of an electric dipole are also displayed in Fig 5
1
4284-4287
17(d) Electric field lines of an electric dipole are also displayed in Fig 5 2(c)
1
4285-4288
Electric field lines of an electric dipole are also displayed in Fig 5 2(c) The magnetic field lines are a visual and intuitive realisation of the magnetic field
1
4286-4289
5 2(c) The magnetic field lines are a visual and intuitive realisation of the magnetic field Their properties are: (i) The magnetic field lines of a magnet (or a solenoid) form continuous closed loops
1
4287-4290
2(c) The magnetic field lines are a visual and intuitive realisation of the magnetic field Their properties are: (i) The magnetic field lines of a magnet (or a solenoid) form continuous closed loops This is unlike the electric dipole where these field lines begin from a positive charge and end on the negative charge or escape to infinity
1
4288-4291
The magnetic field lines are a visual and intuitive realisation of the magnetic field Their properties are: (i) The magnetic field lines of a magnet (or a solenoid) form continuous closed loops This is unlike the electric dipole where these field lines begin from a positive charge and end on the negative charge or escape to infinity FIGURE 5
1
4289-4292
Their properties are: (i) The magnetic field lines of a magnet (or a solenoid) form continuous closed loops This is unlike the electric dipole where these field lines begin from a positive charge and end on the negative charge or escape to infinity FIGURE 5 1 The arrangement of iron filings surrounding a bar magnet