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1 | 1290-1293 | 7
(a) An electrostatic field line is a continuous curve That is, a field
line cannot have sudden breaks Why not (b) Explain why two field lines never cross each other at any point |
1 | 1291-1294 | That is, a field
line cannot have sudden breaks Why not (b) Explain why two field lines never cross each other at any point 1 |
1 | 1292-1295 | Why not (b) Explain why two field lines never cross each other at any point 1 8
Two point charges qA = 3 mC and qB = –3 mC are located 20 cm apart
in vacuum |
1 | 1293-1296 | (b) Explain why two field lines never cross each other at any point 1 8
Two point charges qA = 3 mC and qB = –3 mC are located 20 cm apart
in vacuum (a) What is the electric field at the midpoint O of the line AB joining
the two charges |
1 | 1294-1297 | 1 8
Two point charges qA = 3 mC and qB = –3 mC are located 20 cm apart
in vacuum (a) What is the electric field at the midpoint O of the line AB joining
the two charges (b) If a negative test charge of magnitude 1 |
1 | 1295-1298 | 8
Two point charges qA = 3 mC and qB = –3 mC are located 20 cm apart
in vacuum (a) What is the electric field at the midpoint O of the line AB joining
the two charges (b) If a negative test charge of magnitude 1 5 × 10–9 C is placed at
this point, what is the force experienced by the test charge |
1 | 1296-1299 | (a) What is the electric field at the midpoint O of the line AB joining
the two charges (b) If a negative test charge of magnitude 1 5 × 10–9 C is placed at
this point, what is the force experienced by the test charge 1 |
1 | 1297-1300 | (b) If a negative test charge of magnitude 1 5 × 10–9 C is placed at
this point, what is the force experienced by the test charge 1 9
A system has two charges qA = 2 |
1 | 1298-1301 | 5 × 10–9 C is placed at
this point, what is the force experienced by the test charge 1 9
A system has two charges qA = 2 5 × 10–7 C and qB = –2 |
1 | 1299-1302 | 1 9
A system has two charges qA = 2 5 × 10–7 C and qB = –2 5 × 10–7 C
located at points A: (0, 0, –15 cm) and B: (0,0, +15 cm), respectively |
1 | 1300-1303 | 9
A system has two charges qA = 2 5 × 10–7 C and qB = –2 5 × 10–7 C
located at points A: (0, 0, –15 cm) and B: (0,0, +15 cm), respectively What are the total charge and electric dipole moment of the system |
1 | 1301-1304 | 5 × 10–7 C and qB = –2 5 × 10–7 C
located at points A: (0, 0, –15 cm) and B: (0,0, +15 cm), respectively What are the total charge and electric dipole moment of the system 1 |
1 | 1302-1305 | 5 × 10–7 C
located at points A: (0, 0, –15 cm) and B: (0,0, +15 cm), respectively What are the total charge and electric dipole moment of the system 1 10
An electric dipole with dipole moment 4 × 10–9 C m is aligned at 30°
with the direction of a uniform electric field of magnitude 5 × 104 NC–1 |
1 | 1303-1306 | What are the total charge and electric dipole moment of the system 1 10
An electric dipole with dipole moment 4 × 10–9 C m is aligned at 30°
with the direction of a uniform electric field of magnitude 5 × 104 NC–1 Calculate the magnitude of the torque acting on the dipole |
1 | 1304-1307 | 1 10
An electric dipole with dipole moment 4 × 10–9 C m is aligned at 30°
with the direction of a uniform electric field of magnitude 5 × 104 NC–1 Calculate the magnitude of the torque acting on the dipole 1 |
1 | 1305-1308 | 10
An electric dipole with dipole moment 4 × 10–9 C m is aligned at 30°
with the direction of a uniform electric field of magnitude 5 × 104 NC–1 Calculate the magnitude of the torque acting on the dipole 1 11
A polythene piece rubbed with wool is found to have a negative
charge of 3 × 10–7 C |
1 | 1306-1309 | Calculate the magnitude of the torque acting on the dipole 1 11
A polythene piece rubbed with wool is found to have a negative
charge of 3 × 10–7 C (a) Estimate the number of electrons transferred (from which to
which |
1 | 1307-1310 | 1 11
A polythene piece rubbed with wool is found to have a negative
charge of 3 × 10–7 C (a) Estimate the number of electrons transferred (from which to
which )
(b) Is there a transfer of mass from wool to polythene |
1 | 1308-1311 | 11
A polythene piece rubbed with wool is found to have a negative
charge of 3 × 10–7 C (a) Estimate the number of electrons transferred (from which to
which )
(b) Is there a transfer of mass from wool to polythene 1 |
1 | 1309-1312 | (a) Estimate the number of electrons transferred (from which to
which )
(b) Is there a transfer of mass from wool to polythene 1 12
(a) Two insulated charged copper spheres A and B have their centres
separated by a distance of 50 cm |
1 | 1310-1313 | )
(b) Is there a transfer of mass from wool to polythene 1 12
(a) Two insulated charged copper spheres A and B have their centres
separated by a distance of 50 cm What is the mutual force of
electrostatic repulsion if the charge on each is 6 |
1 | 1311-1314 | 1 12
(a) Two insulated charged copper spheres A and B have their centres
separated by a distance of 50 cm What is the mutual force of
electrostatic repulsion if the charge on each is 6 5 × 10–7 C |
1 | 1312-1315 | 12
(a) Two insulated charged copper spheres A and B have their centres
separated by a distance of 50 cm What is the mutual force of
electrostatic repulsion if the charge on each is 6 5 × 10–7 C The
radii of A and B are negligible compared to the distance of
separation |
1 | 1313-1316 | What is the mutual force of
electrostatic repulsion if the charge on each is 6 5 × 10–7 C The
radii of A and B are negligible compared to the distance of
separation (b) What is the force of repulsion if each sphere is charged double
the above amount, and the distance between them is halved |
1 | 1314-1317 | 5 × 10–7 C The
radii of A and B are negligible compared to the distance of
separation (b) What is the force of repulsion if each sphere is charged double
the above amount, and the distance between them is halved 1 |
1 | 1315-1318 | The
radii of A and B are negligible compared to the distance of
separation (b) What is the force of repulsion if each sphere is charged double
the above amount, and the distance between them is halved 1 13
Figure 1 |
1 | 1316-1319 | (b) What is the force of repulsion if each sphere is charged double
the above amount, and the distance between them is halved 1 13
Figure 1 30 shows tracks of three charged particles in a uniform
electrostatic field |
1 | 1317-1320 | 1 13
Figure 1 30 shows tracks of three charged particles in a uniform
electrostatic field Give the signs of the three charges |
1 | 1318-1321 | 13
Figure 1 30 shows tracks of three charged particles in a uniform
electrostatic field Give the signs of the three charges Which particle
has the highest charge to mass ratio |
1 | 1319-1322 | 30 shows tracks of three charged particles in a uniform
electrostatic field Give the signs of the three charges Which particle
has the highest charge to mass ratio Rationalised 2023-24
Electric Charges
and Fields
43
FIGURE 1 |
1 | 1320-1323 | Give the signs of the three charges Which particle
has the highest charge to mass ratio Rationalised 2023-24
Electric Charges
and Fields
43
FIGURE 1 30
1 |
1 | 1321-1324 | Which particle
has the highest charge to mass ratio Rationalised 2023-24
Electric Charges
and Fields
43
FIGURE 1 30
1 14
Consider a uniform electric field E = 3 × 103 î N/C |
1 | 1322-1325 | Rationalised 2023-24
Electric Charges
and Fields
43
FIGURE 1 30
1 14
Consider a uniform electric field E = 3 × 103 î N/C (a) What is the
flux of this field through a square of 10 cm on a side whose plane is
parallel to the yz plane |
1 | 1323-1326 | 30
1 14
Consider a uniform electric field E = 3 × 103 î N/C (a) What is the
flux of this field through a square of 10 cm on a side whose plane is
parallel to the yz plane (b) What is the flux through the same
square if the normal to its plane makes a 60° angle with the x-axis |
1 | 1324-1327 | 14
Consider a uniform electric field E = 3 × 103 î N/C (a) What is the
flux of this field through a square of 10 cm on a side whose plane is
parallel to the yz plane (b) What is the flux through the same
square if the normal to its plane makes a 60° angle with the x-axis 1 |
1 | 1325-1328 | (a) What is the
flux of this field through a square of 10 cm on a side whose plane is
parallel to the yz plane (b) What is the flux through the same
square if the normal to its plane makes a 60° angle with the x-axis 1 15
What is the net flux of the uniform electric field of Exercise 1 |
1 | 1326-1329 | (b) What is the flux through the same
square if the normal to its plane makes a 60° angle with the x-axis 1 15
What is the net flux of the uniform electric field of Exercise 1 14
through a cube of side 20 cm oriented so that its faces are parallel
to the coordinate planes |
1 | 1327-1330 | 1 15
What is the net flux of the uniform electric field of Exercise 1 14
through a cube of side 20 cm oriented so that its faces are parallel
to the coordinate planes 1 |
1 | 1328-1331 | 15
What is the net flux of the uniform electric field of Exercise 1 14
through a cube of side 20 cm oriented so that its faces are parallel
to the coordinate planes 1 16
Careful measurement of the electric field at the surface of a black
box indicates that the net outward flux through the surface of the
box is 8 |
1 | 1329-1332 | 14
through a cube of side 20 cm oriented so that its faces are parallel
to the coordinate planes 1 16
Careful measurement of the electric field at the surface of a black
box indicates that the net outward flux through the surface of the
box is 8 0 × 103 Nm2/C |
1 | 1330-1333 | 1 16
Careful measurement of the electric field at the surface of a black
box indicates that the net outward flux through the surface of the
box is 8 0 × 103 Nm2/C (a) What is the net charge inside the box |
1 | 1331-1334 | 16
Careful measurement of the electric field at the surface of a black
box indicates that the net outward flux through the surface of the
box is 8 0 × 103 Nm2/C (a) What is the net charge inside the box (b) If the net outward flux through the surface of the box were zero,
could you conclude that there were no charges inside the box |
1 | 1332-1335 | 0 × 103 Nm2/C (a) What is the net charge inside the box (b) If the net outward flux through the surface of the box were zero,
could you conclude that there were no charges inside the box Why
or Why not |
1 | 1333-1336 | (a) What is the net charge inside the box (b) If the net outward flux through the surface of the box were zero,
could you conclude that there were no charges inside the box Why
or Why not 1 |
1 | 1334-1337 | (b) If the net outward flux through the surface of the box were zero,
could you conclude that there were no charges inside the box Why
or Why not 1 17
A point charge +10 mC is a distance 5 cm directly above the centre
of a square of side 10 cm, as shown in Fig |
1 | 1335-1338 | Why
or Why not 1 17
A point charge +10 mC is a distance 5 cm directly above the centre
of a square of side 10 cm, as shown in Fig 1 |
1 | 1336-1339 | 1 17
A point charge +10 mC is a distance 5 cm directly above the centre
of a square of side 10 cm, as shown in Fig 1 31 |
1 | 1337-1340 | 17
A point charge +10 mC is a distance 5 cm directly above the centre
of a square of side 10 cm, as shown in Fig 1 31 What is the
magnitude of the electric flux through the square |
1 | 1338-1341 | 1 31 What is the
magnitude of the electric flux through the square (Hint: Think of
the square as one face of a cube with edge 10 cm |
1 | 1339-1342 | 31 What is the
magnitude of the electric flux through the square (Hint: Think of
the square as one face of a cube with edge 10 cm )
FIGURE 1 |
1 | 1340-1343 | What is the
magnitude of the electric flux through the square (Hint: Think of
the square as one face of a cube with edge 10 cm )
FIGURE 1 31
1 |
1 | 1341-1344 | (Hint: Think of
the square as one face of a cube with edge 10 cm )
FIGURE 1 31
1 18
A point charge of 2 |
1 | 1342-1345 | )
FIGURE 1 31
1 18
A point charge of 2 0 mC is at the centre of a cubic Gaussian
surface 9 |
1 | 1343-1346 | 31
1 18
A point charge of 2 0 mC is at the centre of a cubic Gaussian
surface 9 0 cm on edge |
1 | 1344-1347 | 18
A point charge of 2 0 mC is at the centre of a cubic Gaussian
surface 9 0 cm on edge What is the net electric flux through the
surface |
1 | 1345-1348 | 0 mC is at the centre of a cubic Gaussian
surface 9 0 cm on edge What is the net electric flux through the
surface 1 |
1 | 1346-1349 | 0 cm on edge What is the net electric flux through the
surface 1 19
A point charge causes an electric flux of –1 |
1 | 1347-1350 | What is the net electric flux through the
surface 1 19
A point charge causes an electric flux of –1 0 × 103 Nm2/C to pass
through a spherical Gaussian surface of 10 |
1 | 1348-1351 | 1 19
A point charge causes an electric flux of –1 0 × 103 Nm2/C to pass
through a spherical Gaussian surface of 10 0 cm radius centred on
the charge |
1 | 1349-1352 | 19
A point charge causes an electric flux of –1 0 × 103 Nm2/C to pass
through a spherical Gaussian surface of 10 0 cm radius centred on
the charge (a) If the radius of the Gaussian surface were doubled,
how much flux would pass through the surface |
1 | 1350-1353 | 0 × 103 Nm2/C to pass
through a spherical Gaussian surface of 10 0 cm radius centred on
the charge (a) If the radius of the Gaussian surface were doubled,
how much flux would pass through the surface (b) What is the
value of the point charge |
1 | 1351-1354 | 0 cm radius centred on
the charge (a) If the radius of the Gaussian surface were doubled,
how much flux would pass through the surface (b) What is the
value of the point charge 1 |
1 | 1352-1355 | (a) If the radius of the Gaussian surface were doubled,
how much flux would pass through the surface (b) What is the
value of the point charge 1 20
A conducting sphere of radius 10 cm has an unknown charge |
1 | 1353-1356 | (b) What is the
value of the point charge 1 20
A conducting sphere of radius 10 cm has an unknown charge If
the electric field 20 cm from the centre of the sphere is 1 |
1 | 1354-1357 | 1 20
A conducting sphere of radius 10 cm has an unknown charge If
the electric field 20 cm from the centre of the sphere is 1 5 × 103 N/C
and points radially inward, what is the net charge on the sphere |
1 | 1355-1358 | 20
A conducting sphere of radius 10 cm has an unknown charge If
the electric field 20 cm from the centre of the sphere is 1 5 × 103 N/C
and points radially inward, what is the net charge on the sphere Rationalised 2023-24
44
Physics
1 |
1 | 1356-1359 | If
the electric field 20 cm from the centre of the sphere is 1 5 × 103 N/C
and points radially inward, what is the net charge on the sphere Rationalised 2023-24
44
Physics
1 21
A uniformly charged conducting sphere of 2 |
1 | 1357-1360 | 5 × 103 N/C
and points radially inward, what is the net charge on the sphere Rationalised 2023-24
44
Physics
1 21
A uniformly charged conducting sphere of 2 4 m diameter has a
surface charge density of 80 |
1 | 1358-1361 | Rationalised 2023-24
44
Physics
1 21
A uniformly charged conducting sphere of 2 4 m diameter has a
surface charge density of 80 0 mC/m2 |
1 | 1359-1362 | 21
A uniformly charged conducting sphere of 2 4 m diameter has a
surface charge density of 80 0 mC/m2 (a) Find the charge on the
sphere |
1 | 1360-1363 | 4 m diameter has a
surface charge density of 80 0 mC/m2 (a) Find the charge on the
sphere (b) What is the total electric flux leaving the surface of the
sphere |
1 | 1361-1364 | 0 mC/m2 (a) Find the charge on the
sphere (b) What is the total electric flux leaving the surface of the
sphere 1 |
1 | 1362-1365 | (a) Find the charge on the
sphere (b) What is the total electric flux leaving the surface of the
sphere 1 22
An infinite line charge produces a field of 9 × 104 N/C at a distance
of 2 cm |
1 | 1363-1366 | (b) What is the total electric flux leaving the surface of the
sphere 1 22
An infinite line charge produces a field of 9 × 104 N/C at a distance
of 2 cm Calculate the linear charge density |
1 | 1364-1367 | 1 22
An infinite line charge produces a field of 9 × 104 N/C at a distance
of 2 cm Calculate the linear charge density 1 |
1 | 1365-1368 | 22
An infinite line charge produces a field of 9 × 104 N/C at a distance
of 2 cm Calculate the linear charge density 1 23
Two large, thin metal plates are parallel and close to each other |
1 | 1366-1369 | Calculate the linear charge density 1 23
Two large, thin metal plates are parallel and close to each other On
their inner faces, the plates have surface charge densities of opposite
signs and of magnitude 17 |
1 | 1367-1370 | 1 23
Two large, thin metal plates are parallel and close to each other On
their inner faces, the plates have surface charge densities of opposite
signs and of magnitude 17 0 × 10–22 C/m2 |
1 | 1368-1371 | 23
Two large, thin metal plates are parallel and close to each other On
their inner faces, the plates have surface charge densities of opposite
signs and of magnitude 17 0 × 10–22 C/m2 What is E: (a) in the outer
region of the first plate, (b) in the outer region of the second plate,
and (c) between the plates |
1 | 1369-1372 | On
their inner faces, the plates have surface charge densities of opposite
signs and of magnitude 17 0 × 10–22 C/m2 What is E: (a) in the outer
region of the first plate, (b) in the outer region of the second plate,
and (c) between the plates Rationalised 2023-24
2 |
1 | 1370-1373 | 0 × 10–22 C/m2 What is E: (a) in the outer
region of the first plate, (b) in the outer region of the second plate,
and (c) between the plates Rationalised 2023-24
2 1 INTRODUCTION
In Chapters 6 and 8 (Class XI), the notion of potential energy was
introduced |
1 | 1371-1374 | What is E: (a) in the outer
region of the first plate, (b) in the outer region of the second plate,
and (c) between the plates Rationalised 2023-24
2 1 INTRODUCTION
In Chapters 6 and 8 (Class XI), the notion of potential energy was
introduced When an external force does work in taking a body from a
point to another against a force like spring force or gravitational force,
that work gets stored as potential energy of the body |
1 | 1372-1375 | Rationalised 2023-24
2 1 INTRODUCTION
In Chapters 6 and 8 (Class XI), the notion of potential energy was
introduced When an external force does work in taking a body from a
point to another against a force like spring force or gravitational force,
that work gets stored as potential energy of the body When the external
force is removed, the body moves, gaining kinetic energy and losing
an equal amount of potential energy |
1 | 1373-1376 | 1 INTRODUCTION
In Chapters 6 and 8 (Class XI), the notion of potential energy was
introduced When an external force does work in taking a body from a
point to another against a force like spring force or gravitational force,
that work gets stored as potential energy of the body When the external
force is removed, the body moves, gaining kinetic energy and losing
an equal amount of potential energy The sum of kinetic and
potential energies is thus conserved |
1 | 1374-1377 | When an external force does work in taking a body from a
point to another against a force like spring force or gravitational force,
that work gets stored as potential energy of the body When the external
force is removed, the body moves, gaining kinetic energy and losing
an equal amount of potential energy The sum of kinetic and
potential energies is thus conserved Forces of this kind are called
conservative forces |
1 | 1375-1378 | When the external
force is removed, the body moves, gaining kinetic energy and losing
an equal amount of potential energy The sum of kinetic and
potential energies is thus conserved Forces of this kind are called
conservative forces Spring force and gravitational force are examples of
conservative forces |
1 | 1376-1379 | The sum of kinetic and
potential energies is thus conserved Forces of this kind are called
conservative forces Spring force and gravitational force are examples of
conservative forces Coulomb force between two (stationary) charges is also a conservative
force |
1 | 1377-1380 | Forces of this kind are called
conservative forces Spring force and gravitational force are examples of
conservative forces Coulomb force between two (stationary) charges is also a conservative
force This is not surprising, since both have inverse-square dependence
on distance and differ mainly in the proportionality constants – the
masses in the gravitational law are replaced by charges in Coulomb’s
law |
1 | 1378-1381 | Spring force and gravitational force are examples of
conservative forces Coulomb force between two (stationary) charges is also a conservative
force This is not surprising, since both have inverse-square dependence
on distance and differ mainly in the proportionality constants – the
masses in the gravitational law are replaced by charges in Coulomb’s
law Thus, like the potential energy of a mass in a gravitational
field, we can define electrostatic potential energy of a charge in an
electrostatic field |
1 | 1379-1382 | Coulomb force between two (stationary) charges is also a conservative
force This is not surprising, since both have inverse-square dependence
on distance and differ mainly in the proportionality constants – the
masses in the gravitational law are replaced by charges in Coulomb’s
law Thus, like the potential energy of a mass in a gravitational
field, we can define electrostatic potential energy of a charge in an
electrostatic field Consider an electrostatic field E due to some charge configuration |
1 | 1380-1383 | This is not surprising, since both have inverse-square dependence
on distance and differ mainly in the proportionality constants – the
masses in the gravitational law are replaced by charges in Coulomb’s
law Thus, like the potential energy of a mass in a gravitational
field, we can define electrostatic potential energy of a charge in an
electrostatic field Consider an electrostatic field E due to some charge configuration First, for simplicity, consider the field E due to a charge Q placed at the
origin |
1 | 1381-1384 | Thus, like the potential energy of a mass in a gravitational
field, we can define electrostatic potential energy of a charge in an
electrostatic field Consider an electrostatic field E due to some charge configuration First, for simplicity, consider the field E due to a charge Q placed at the
origin Now, imagine that we bring a test charge q from a point R to a
point P against the repulsive force on it due to the charge Q |
1 | 1382-1385 | Consider an electrostatic field E due to some charge configuration First, for simplicity, consider the field E due to a charge Q placed at the
origin Now, imagine that we bring a test charge q from a point R to a
point P against the repulsive force on it due to the charge Q With reference
Chapter Two
ELECTROSTATIC
POTENTIAL AND
CAPACITANCE
Rationalised 2023-24
Physics
46
to Fig |
1 | 1383-1386 | First, for simplicity, consider the field E due to a charge Q placed at the
origin Now, imagine that we bring a test charge q from a point R to a
point P against the repulsive force on it due to the charge Q With reference
Chapter Two
ELECTROSTATIC
POTENTIAL AND
CAPACITANCE
Rationalised 2023-24
Physics
46
to Fig 2 |
1 | 1384-1387 | Now, imagine that we bring a test charge q from a point R to a
point P against the repulsive force on it due to the charge Q With reference
Chapter Two
ELECTROSTATIC
POTENTIAL AND
CAPACITANCE
Rationalised 2023-24
Physics
46
to Fig 2 1, this will happen if Q and q are both positive
or both negative |
1 | 1385-1388 | With reference
Chapter Two
ELECTROSTATIC
POTENTIAL AND
CAPACITANCE
Rationalised 2023-24
Physics
46
to Fig 2 1, this will happen if Q and q are both positive
or both negative For definiteness, let us take Q, q > 0 |
1 | 1386-1389 | 2 1, this will happen if Q and q are both positive
or both negative For definiteness, let us take Q, q > 0 Two remarks may be made here |
1 | 1387-1390 | 1, this will happen if Q and q are both positive
or both negative For definiteness, let us take Q, q > 0 Two remarks may be made here First, we assume
that the test charge q is so small that it does not disturb
the original configuration, namely the charge Q at the
origin (or else, we keep Q fixed at the origin by some
unspecified force) |
1 | 1388-1391 | For definiteness, let us take Q, q > 0 Two remarks may be made here First, we assume
that the test charge q is so small that it does not disturb
the original configuration, namely the charge Q at the
origin (or else, we keep Q fixed at the origin by some
unspecified force) Second, in bringing the charge q from
R to P, we apply an external force Fext just enough to
counter the repulsive electric force FE (i |
1 | 1389-1392 | Two remarks may be made here First, we assume
that the test charge q is so small that it does not disturb
the original configuration, namely the charge Q at the
origin (or else, we keep Q fixed at the origin by some
unspecified force) Second, in bringing the charge q from
R to P, we apply an external force Fext just enough to
counter the repulsive electric force FE (i e, Fext= –FE) |
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