Question 1

A small metal sphere is suspended from the conducting cover of a conducting metal ice bucket by a non-conducting thread. The sphere is given a negative charge before the cover is placed on the bucket. The bucket is tilted by means of a non-conducting material so that the charged sphere touches the inside of the bucket. Which statement is correct?

Accepted Answer

A)   The negative charge remains on the metal sphere.
B)   The negative charge spreads over the outside surface of the bucket and cover.
C)   The negative charge spreads over the inside surface of the bucket and cover.
D)   The negative charge spreads equally over the inside and outside surfaces of the bucket and cover.
E)   The negative charge spreads equally over the sphere and the inside and outside surfaces of the bucket and cover.F) B) and C)
G) C) and D)

Question 2

A system consisting of a negatively-charged particle and an electric field

Accepted Answer

A)   gains potential difference and kinetic energy when the charged particle moves in the direction of the field.
B)   loses electric potential energy when the charged particle moves in the direction of the field.
C)   gains kinetic energy when the charged particle moves in the direction of the field.
D)   gains electric potential energy when the charged particle moves in the direction of the field.
E)   gains potential difference and electric potential energy when the charged particle moves in the direction of the field.F) A) and E)
G) B) and D)

Question 3

A 4.0-pC point charge is placed at the center of a hollow (inner radius = 2.0 cm, outer radius = 4.0 cm)  conducting sphere which has a net charge of 4.0 pC. Determine the magnitude of the electric field at a point which is 6.0 cm from the point charge.

Accepted Answer

A)   35 N/C
B)   25 N/C
C)   30 N/C
D)   20 N/C
E)   10 N/CF) A) and E)
G) B) and C)

Question 4

A proton (m = 1.7 × 10−27 kg, q = +1.6 × 10−19 C)  starts from rest at point A and has a speed of 40 km/s at point B. Only electric forces act on it during this motion. Determine the electric potential difference VB − VA.

Accepted Answer

A)   +8.5 V
B)   −8.5 V
C)   −4.8 V
D)   +4.8 V
E)   −17 VF) B) and D)
G) A) and E)

Question 5

Particle A (mass = m, charge = Q)  and B (mass = m, charge = 5 Q)  are released from rest with the distance between them equal to 1.0 m. If Q = 12 μC, what is the kinetic energy of particle B at the instant when the particles are 3.0 m apart?

Accepted Answer

A)   8.6 J
B)   3.8 J
C)   6.0 J
D)   2.2 J
E)   4.3 JF) A) and D)
G) A) and C)

Question 6

Identical 2.0-μC charges are located on the vertices of a square with sides that are 2.0 m in length. Determine the electric potential (relative to zero at infinity)  at the center of the square.

Accepted Answer

A)   38 kV
B)   51 kV
C)   76 kV
D)   64 kV
E)   13 kVF) A) and B)
G) C) and D)

Question 7

The electric field in a region of space is given by Ex = (3.0x)  N/C, Ey = Ez = 0, where x is in m. Points A and B are on the x axis at xA = 3.0 m and xB = 5.0 m. Determine the potential difference VB − VA.

Accepted Answer

A)   −24 V
B)   +24 V
C)   −18 V
D)   +30 V
E)   −6.0 VF) A) and B)
G) C) and D)

Question 8

Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m. Which of the following integrals is correct for the electric potential (relative to zero at infinity)  at the point y = +4 m on the y axis?

Accepted Answer

A)  
B)  
C)  
D)  
E)  F) B) and E)
G) None of the above

Question 9

A spherical conductor (radius = 1.0 cm)  with a charge of 2.0 pC is within a concentric hollow spherical conductor (inner radius = 3.0 cm, outer radius = 4.0 cm)  which has a total charge of −3.0 pC. What is the magnitude of the electric field 2.0 cm from the center of these conductors?

Accepted Answer

A)   23 N/C
B)   zero
C)   45 N/C
D)   90 N/C
E)   110 N/CF) A) and B)
G) A) and C)

Question 10

If a = 30 cm, b = 20 cm, q = +2.0 nC, and Q = −3.0 nC in the figure, what is the potential difference VA − VB? A − VB?   A)  +60 V B)  +72 V C)  +84 V D)  +96 V E)  +48 V" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   +60 V
B)   +72 V
C)   +84 V
D)   +96 V
E)   +48 VF) D) and E)
G) A) and B)

Question 11

A nonuniform linear charge distribution given by λ(x)  = bx, where b is a constant, is distributed along the x axis from x = 0 to x = +L. If b = 40 nC/m2 and L = 0.20 m, what is the electric potential (relative to a potential of zero at infinity)  at the point y = 2L on the y axis?

Accepted Answer

A)   19 V
B)   17 V
C)   21 V
D)   23 V
E)   14 VF) B) and D)
G) A) and D)

Question 12

The electric field in the region defined by the y-z plane and the negative x axis is given by E = −ax, where a is a constant. (There is no field for positive values of x.)  As −x increases in magnitude, relative to V = 0 at the origin, the electric potential in the region defined above is

Accepted Answer

A)   a decreasing function proportional to −|x2|.
B)   a decreasing function proportional to −|x|.
C)   constant.
D)   an increasing function proportional to +|x|.
E)   an increasing function proportional to +|x2|.F) C) and D)
G) A) and B)

Question 13

A charged particle (q = −8.0 mC) , which moves in a region where the only force acting on the particle is an electric force, is released from rest at point A. At point B the kinetic energy of the particle is equal to 4.8 J. What is the electric potential difference VB − VA?

Accepted Answer

A)   −0.60 kV
B)   +0.60 kV
C)   +0.80 kV
D)   −0.80 kV
E)   +0.48 kVF) A) and D)
G) A) and B)

Question 14

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius. Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor. Determine the electric potential difference VA − VB.

Accepted Answer

A)   +1.8 V
B)   +29 V
C)   +27 V
D)   +7.2 V
E)   +9.0 VF) D) and E)
G) All of the above

Question 15

To recharge a 12-V battery, a battery charger must move 3.6 × 105 C of charge from the negative to the positive terminal. What amount of work is done by the battery charger? How many kilowatt hours is this?

Accepted Answer

Question 16

A long cylindrical conductor (radius = 1.0 mm)  carries a charge density of 4.0 pC/m and is inside a coaxial, hollow, cylindrical conductor (inner radius = 3.0 mm, outer radius = 4.0 mm)  that has a total charge of −8.0 pC/m. What is the magnitude of the electric field 2.0 mm from the axis of these conductors?

Accepted Answer

A)   24 N/C
B)   18 N/C
C)   zero
D)   36 N/C
E)   226 N/CF) All of the above
G) C) and D)

Question 17

A series of n uncharged concentric shells surround a small central charge q. The charge distributed on the outside of the nth shell is

Accepted Answer

A)   −nq.
B)   −(ln n) q.
C)   +q.
D)   +(ln n) q.
E)   +nq.F) B) and D)
G) A) and D)

Question 18

How much electrical charge is needed to raise an isolated metal sphere of radius 1.0 m to a potential of 1.0 × 106 V?

Accepted Answer

Question 19

Charge of uniform density (3.5 nC/m)  is distributed along the circular arc shown. Determine the electric potential (relative to zero at infinity)  at point P.

Accepted Answer

A)   61 V
B)   42 V
C)   52 V
D)   33 V
E)   22 VF) C) and D)
G) None of the above

Question 20

Points A [at (3, 6)  m] and B [at (8, −3)  m] are in a region where the electric field is uniform and given by A − VB? A)  +60 V B)  −60 V C)  +80 V D)  −80 V E)  +50 V" class="answers-bank-image d-inline" rel="preload" > N/C. What is the electric potential difference VA − VB?

Accepted Answer

A)   +60 V
B)   −60 V
C)   +80 V
D)   −80 V
E)   +50 VF) A) and E)
G) B) and D)

Exam 25: Electric Potential

A proton (m = 1.7 × 10−²⁷ kg, q = +1.6 × 10−¹⁹ C) starts from rest at point A and has a speed of 40 km/s at point B. Only electric forces act on it during this motion. Determine the electric potential difference V_B − V_A.

Correct Answer
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A system consisting of a negatively-charged particle and an electric field

Correct Answer
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Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m. Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point y = +4 m on the y axis?

Correct Answer
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A spherical conductor (radius = 1.0 cm) with a charge of 2.0 pC is within a concentric hollow spherical conductor (inner radius = 3.0 cm, outer radius = 4.0 cm) which has a total charge of −3.0 pC. What is the magnitude of the electric field 2.0 cm from the center of these conductors?

Correct Answer
verified

How much electrical charge is needed to raise an isolated metal sphere of radius 1.0 m to a potential of 1.0 × 10⁶ V?

Correct Answer
verified

Points A [at (3, 6) m] and B [at (8, −3) m] are in a region where the electric field is uniform and given by N/C. What is the electric potential difference V_A − V_B?

Correct Answer
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The electric field in a region of space is given by E_x = (3.0x) N/C, E_y = E_z = 0, where x is in m. Points A and B are on the x axis at x_A = 3.0 m and x_B = 5.0 m. Determine the potential difference V_B − V_A.

Correct Answer
verified

The electric field in the region defined by the y-z plane and the negative x axis is given by E = −ax, where a is a constant. (There is no field for positive values of x.) As −x increases in magnitude, relative to V = 0 at the origin, the electric potential in the region defined above is

Correct Answer
verified

Correct Answer
verified

Identical 2.0-μC charges are located on the vertices of a square with sides that are 2.0 m in length. Determine the electric potential (relative to zero at infinity) at the center of the square.

Correct Answer
verified

Particle A (mass = m, charge = Q) and B (mass = m, charge = 5 Q) are released from rest with the distance between them equal to 1.0 m. If Q = 12 μC, what is the kinetic energy of particle B at the instant when the particles are 3.0 m apart?

Correct Answer
verified

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius. Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor. Determine the electric potential difference V_A − V_B.

Correct Answer
verified

To recharge a 12-V battery, a battery charger must move 3.6 × 10⁵ C of charge from the negative to the positive terminal. What amount of work is done by the battery charger? How many kilowatt hours is this?

Correct Answer
verified

If a = 30 cm, b = 20 cm, q = +2.0 nC, and Q = −3.0 nC in the figure, what is the potential difference V_A − V_B?

Correct Answer
verified

Correct Answer
verified

A 4.0-pC point charge is placed at the center of a hollow (inner radius = 2.0 cm, outer radius = 4.0 cm) conducting sphere which has a net charge of 4.0 pC. Determine the magnitude of the electric field at a point which is 6.0 cm from the point charge.

Correct Answer
verified

A series of n uncharged concentric shells surround a small central charge q. The charge distributed on the outside of the nth shell is

Correct Answer
verified

A nonuniform linear charge distribution given by λ(x) = bx, where b is a constant, is distributed along the x axis from x = 0 to x = +L. If b = 40 nC/m² and L = 0.20 m, what is the electric potential (relative to a potential of zero at infinity) at the point y = 2L on the y axis?

Correct Answer
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Charge of uniform density (3.5 nC/m) is distributed along the circular arc shown. Determine the electric potential (relative to zero at infinity) at point P.

Correct Answer
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A charged particle (q = −8.0 mC) , which moves in a region where the only force acting on the particle is an electric force, is released from rest at point A. At point B the kinetic energy of the particle is equal to 4.8 J. What is the electric potential difference V_B − V_A?

Correct Answer
verified

Exam 25: Electric Potential

A proton (m = 1.7 × 10−27 kg, q = +1.6 × 10−19 C) starts from rest at point A and has a speed of 40 km/s at point B. Only electric forces act on it during this motion. Determine the electric potential difference VB − VA.

Correct AnswerverifiedShow Answer

A system consisting of a negatively-charged particle and an electric field

Correct AnswerverifiedShow Answer

Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m. Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point y = +4 m on the y axis?

Correct AnswerverifiedShow Answer

A spherical conductor (radius = 1.0 cm) with a charge of 2.0 pC is within a concentric hollow spherical conductor (inner radius = 3.0 cm, outer radius = 4.0 cm) which has a total charge of −3.0 pC. What is the magnitude of the electric field 2.0 cm from the center of these conductors?

Correct AnswerverifiedShow Answer

How much electrical charge is needed to raise an isolated metal sphere of radius 1.0 m to a potential of 1.0 × 106 V?

Correct AnswerverifiedShow Answer

Points A [at (3, 6) m] and B [at (8, −3) m] are in a region where the electric field is uniform and given by N/C. What is the electric potential difference VA − VB?

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The electric field in a region of space is given by Ex = (3.0x) N/C, Ey = Ez = 0, where x is in m. Points A and B are on the x axis at xA = 3.0 m and xB = 5.0 m. Determine the potential difference VB − VA.

Correct AnswerverifiedShow Answer

The electric field in the region defined by the y-z plane and the negative x axis is given by E = −ax, where a is a constant. (There is no field for positive values of x.) As −x increases in magnitude, relative to V = 0 at the origin, the electric potential in the region defined above is

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Identical 2.0-μC charges are located on the vertices of a square with sides that are 2.0 m in length. Determine the electric potential (relative to zero at infinity) at the center of the square.

Correct AnswerverifiedShow Answer

Particle A (mass = m, charge = Q) and B (mass = m, charge = 5 Q) are released from rest with the distance between them equal to 1.0 m. If Q = 12 μC, what is the kinetic energy of particle B at the instant when the particles are 3.0 m apart?

Correct AnswerverifiedShow Answer

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius. Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor. Determine the electric potential difference VA − VB.

Correct AnswerverifiedShow Answer

To recharge a 12-V battery, a battery charger must move 3.6 × 105 C of charge from the negative to the positive terminal. What amount of work is done by the battery charger? How many kilowatt hours is this?

Correct AnswerverifiedShow Answer

If a = 30 cm, b = 20 cm, q = +2.0 nC, and Q = −3.0 nC in the figure, what is the potential difference VA − VB?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A 4.0-pC point charge is placed at the center of a hollow (inner radius = 2.0 cm, outer radius = 4.0 cm) conducting sphere which has a net charge of 4.0 pC. Determine the magnitude of the electric field at a point which is 6.0 cm from the point charge.

Correct AnswerverifiedShow Answer

A series of n uncharged concentric shells surround a small central charge q. The charge distributed on the outside of the nth shell is

Correct AnswerverifiedShow Answer

A nonuniform linear charge distribution given by λ(x) = bx, where b is a constant, is distributed along the x axis from x = 0 to x = +L. If b = 40 nC/m2 and L = 0.20 m, what is the electric potential (relative to a potential of zero at infinity) at the point y = 2L on the y axis?

Correct AnswerverifiedShow Answer

Charge of uniform density (3.5 nC/m) is distributed along the circular arc shown. Determine the electric potential (relative to zero at infinity) at point P.

Correct AnswerverifiedShow Answer

A charged particle (q = −8.0 mC) , which moves in a region where the only force acting on the particle is an electric force, is released from rest at point A. At point B the kinetic energy of the particle is equal to 4.8 J. What is the electric potential difference VB − VA?

Correct AnswerverifiedShow Answer

A proton (m = 1.7 × 10−²⁷ kg, q = +1.6 × 10−¹⁹ C) starts from rest at point A and has a speed of 40 km/s at point B. Only electric forces act on it during this motion. Determine the electric potential difference V_B − V_A.

Correct Answer
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Correct Answer
verified

Correct Answer
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Correct Answer
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How much electrical charge is needed to raise an isolated metal sphere of radius 1.0 m to a potential of 1.0 × 10⁶ V?

Correct Answer
verified

Points A [at (3, 6) m] and B [at (8, −3) m] are in a region where the electric field is uniform and given by N/C. What is the electric potential difference V_A − V_B?

Correct Answer
verified

The electric field in a region of space is given by E_x = (3.0x) N/C, E_y = E_z = 0, where x is in m. Points A and B are on the x axis at x_A = 3.0 m and x_B = 5.0 m. Determine the potential difference V_B − V_A.

Correct Answer
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Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
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A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius. Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor. Determine the electric potential difference V_A − V_B.

Correct Answer
verified

To recharge a 12-V battery, a battery charger must move 3.6 × 10⁵ C of charge from the negative to the positive terminal. What amount of work is done by the battery charger? How many kilowatt hours is this?

Correct Answer
verified

If a = 30 cm, b = 20 cm, q = +2.0 nC, and Q = −3.0 nC in the figure, what is the potential difference V_A − V_B?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
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A nonuniform linear charge distribution given by λ(x) = bx, where b is a constant, is distributed along the x axis from x = 0 to x = +L. If b = 40 nC/m² and L = 0.20 m, what is the electric potential (relative to a potential of zero at infinity) at the point y = 2L on the y axis?

Correct Answer
verified

Correct Answer
verified

A charged particle (q = −8.0 mC) , which moves in a region where the only force acting on the particle is an electric force, is released from rest at point A. At point B the kinetic energy of the particle is equal to 4.8 J. What is the electric potential difference V_B − V_A?

Correct Answer
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