Question 1

Which of the following represents the equipotential lines of a dipole?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

A charge of 10 nC is distributed uniformly along the x axis from x = −2 m to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)at the point x = +5 m on the x axis?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

A proton (mass = 1.67 × 10−27 kg,charge = 1.60 × 10−19 C)moves from point A to point B under the influence of an electrostatic force only.At point A the proton moves with a speed of 50 km/s.At point B the speed of the proton is 80 km/s.Determine the potential difference VB − VA.

Accepted Answer

A) +20 V 
B) −20 V 
C) −27 V 
D) +27 V 
E) −40 V 
A) +20 V 
B) −20 V 
C) −27 V 
D) +27 V 
E) −40 V

Question 4

A nonconducting sphere of radius 10 cm is charged uniformly with a density of 100 nC/m3.What is the magnitude of the potential difference between the center and a point 4.0 cm away?

Accepted Answer

A) 12 V 
B) 6.8 V 
C) 3.0 V 
D) 4.7 V 
E) 2.2 V 
A) 12 V 
B) 6.8 V 
C) 3.0 V 
D) 4.7 V 
E) 2.2 V

Question 5

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

Question 6

Two large parallel conducting plates are 8.0 cm apart and carry equal but opposite charges on their facing surfaces.The magnitude of the surface charge density on either of the facing surfaces is 2.0 nC/m2.Determine the magnitude of the electric potential difference between the plates.

Accepted Answer

A) 36 V 
B) 27 V 
C) 18 V 
D) 45 V 
E) 16 V 
A) 36 V 
B) 27 V 
C) 18 V 
D) 45 V 
E) 16 V

Question 7

When a positive charge is released and moves along an electric field line,it moves to a position of

Accepted Answer

A) lower potential and lower potential energy. 
B) lower potential and higher potential energy. 
C) higher potential and lower potential energy. 
D) higher potential and higher potential energy. 
E) greater magnitude of the electric field. 
A) lower potential and lower potential energy. 
B) lower potential and higher potential energy. 
C) higher potential and lower potential energy. 
D) higher potential and higher potential energy. 
E) greater magnitude of the electric field.

Question 8

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

Question 9

For the potential  
,what is the corresponding electric field at the point (2,2,2)?

Accepted Answer

A)    
B)    
C)    
D)    
E) The correct answer is not given. 
A)    
B)    
C)    
D)    
E) The correct answer is not given.

Question 10

Two charges lie on the x axis,+2q at the origin,and −3q at x = 5.0 m.The point on the x axis where the electric potential has a zero value (when the value at infinity is also zero)is

Accepted Answer

A) 1.0 m. 
B) 2.0 m. 
C) 2.5 m. 
D) 3.0 m. 
E) 4.0 m. 
A) 1.0 m. 
B) 2.0 m. 
C) 2.5 m. 
D) 3.0 m. 
E) 4.0 m.

Question 11

Two flat conductors are placed with their inner faces separated by 6.0 mm.If the surface charge density on one of the inner faces is 40 pC/m2,what is the magnitude of the electric potential differences between the two conductors?

Accepted Answer

A) 36 mV 
B) 18 mV 
C) 32 mV 
D) 27 mV 
E) 14 mV 
A) 36 mV 
B) 18 mV 
C) 32 mV 
D) 27 mV 
E) 14 mV

Question 12

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 × 10−10 m.The electric potential created by the electron at the position of the proton is

Accepted Answer

A) −13.6 V. 
B) +13.6 V. 
C) −27.2 V. 
D) +27.2 V. 
E) +5.12 × 109 V. 
A) −13.6 V. 
B) +13.6 V. 
C) −27.2 V. 
D) +27.2 V. 
E) +5.12 × 109 V.

Question 13

When a negative charge is released and moves along an electric field line,it moves to a position of

Accepted Answer

A) lower potential and lower potential energy. 
B) lower potential and higher potential energy. 
C) higher potential and lower potential energy. 
D) higher potential and higher potential energy. 
E) decreasing magnitude of the electric field. 
A) lower potential and lower potential energy. 
B) lower potential and higher potential energy. 
C) higher potential and lower potential energy. 
D) higher potential and higher potential energy. 
E) decreasing magnitude of the electric field.

Question 14

A particle (charge = 40 μC)moves directly toward a second particle (charge = 80 μC)which is held in a fixed position.At an instant when the distance between the two particles is 2.0 m,the kinetic energy of the moving particle is 16 J.Determine the distance separating the two particles when the moving particle is momentarily stopped.

Accepted Answer

A) 0.75 m 
B) 0.84 m 
C) 0.95 m 
D) 0.68 m 
E) 0.56 m 
A) 0.75 m 
B) 0.84 m 
C) 0.95 m 
D) 0.68 m 
E) 0.56 m

Question 15

Through what potential difference must an electron (starting from rest)be accelerated if it is to reach a speed of 3.0 × 107 m/s?

Accepted Answer

A) 5.8 kV 
B) 2.6 kV 
C) 7.1 kV 
D) 8.6 kV 
E) 5.1 kV 
A) 5.8 kV 
B) 2.6 kV 
C) 7.1 kV 
D) 8.6 kV 
E) 5.1 kV

Question 16

Four identical point charges (+4.0 μC)are placed at the corners of a square which has 20-cm sides.How much work is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges?

Accepted Answer

A) +2.9 J 
B) +3.9 J 
C) +2.2 J 
D) +4.3 J 
E) +1.9 J 
A) +2.9 J 
B) +3.9 J 
C) +2.2 J 
D) +4.3 J 
E) +1.9 J

Question 17

Charge of uniform density 12 nC/m is distributed along the x axis from x = 2.0 m to x = 5.0 m.What is the electric potential (relative to zero at infinity)at the origin (x = 0)?

Accepted Answer

A) 91 V 
B) 99 V 
C) 82 V 
D) 74 V 
E) 140 V 
A) 91 V 
B) 99 V 
C) 82 V 
D) 74 V 
E) 140 V

Question 18

Four electrons move from point A to point B in a uniform electric field as shown below.Rank the electrons in diagrams I through IV by the changes in potential energy from most positive to most negative when traveling from A to B.

Accepted Answer

A) I = II = III = IV. 
B) II = III > I > IV. 
C) III > I = IV > II. 
D) II > I = IV > III. 
E) I > II = III > IV. 
A) I = II = III = IV. 
B) II = III > I > IV. 
C) III > I = IV > II. 
D) II > I = IV > III. 
E) I > II = III > IV.

Question 19

An infinite plane of charge with  
Is tilted at a 45° angle to the vertical direction as shown below.The potential difference,VB − VA,in volts,between points A and B,a 4.50 m distance apart,is

Accepted Answer

A) −7.06. 
B) −9.98. 
C) −14.11. 
D) +7.06. 
E) +9.98. 
A) −7.06. 
B) −9.98. 
C) −14.11. 
D) +7.06. 
E) +9.98.

Question 20

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 V 
A) 61 V 
B) 42 V 
C) 52 V 
D) 33 V 
E) 22 V

Exam 25: Electric Potential

Which of the following represents the equipotential lines of a dipole?

A charge of 10 nC is distributed uniformly along the x axis from x = −2 m to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)at the point x = +5 m on the x axis?

A proton (mass = 1.67 × 10−27 kg,charge = 1.60 × 10−19 C)moves from point A to point B under the influence of an electrostatic force only.At point A the proton moves with a speed of 50 km/s.At point B the speed of the proton is 80 km/s.Determine the potential difference VB − VA.

A nonconducting sphere of radius 10 cm is charged uniformly with a density of 100 nC/m3.What is the magnitude of the potential difference between the center and a point 4.0 cm away?

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

Two large parallel conducting plates are 8.0 cm apart and carry equal but opposite charges on their facing surfaces.The magnitude of the surface charge density on either of the facing surfaces is 2.0 nC/m2.Determine the magnitude of the electric potential difference between the plates.

When a positive charge is released and moves along an electric field line,it moves to a position of

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?

For the potential ,what is the corresponding electric field at the point (2,2,2)?

Two charges lie on the x axis,+2q at the origin,and −3q at x = 5.0 m.The point on the x axis where the electric potential has a zero value (when the value at infinity is also zero)is

Two flat conductors are placed with their inner faces separated by 6.0 mm.If the surface charge density on one of the inner faces is 40 pC/m2,what is the magnitude of the electric potential differences between the two conductors?

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 × 10−10 m.The electric potential created by the electron at the position of the proton is

When a negative charge is released and moves along an electric field line,it moves to a position of

Through what potential difference must an electron (starting from rest)be accelerated if it is to reach a speed of 3.0 × 107 m/s?

Four identical point charges (+4.0 μC)are placed at the corners of a square which has 20-cm sides.How much work is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges?

Charge of uniform density 12 nC/m is distributed along the x axis from x = 2.0 m to x = 5.0 m.What is the electric potential (relative to zero at infinity)at the origin (x = 0)?

Four electrons move from point A to point B in a uniform electric field as shown below.Rank the electrons in diagrams I through IV by the changes in potential energy from most positive to most negative when traveling from A to B.

An infinite plane of charge with Is tilted at a 45° angle to the vertical direction as shown below.The potential difference,VB − VA,in volts,between points A and B,a 4.50 m distance apart,is

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.

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A proton (mass = 1.67 × 10−²⁷ kg,charge = 1.60 × 10−¹⁹ C)moves from point A to point B under the influence of an electrostatic force only.At point A the proton moves with a speed of 50 km/s.At point B the speed of the proton is 80 km/s.Determine the potential difference V_B − V_A.

A nonconducting sphere of radius 10 cm is charged uniformly with a density of 100 nC/m³.What is the magnitude of the potential difference between the center and a point 4.0 cm away?

Two large parallel conducting plates are 8.0 cm apart and carry equal but opposite charges on their facing surfaces.The magnitude of the surface charge density on either of the facing surfaces is 2.0 nC/m².Determine the magnitude of the electric potential difference between the plates.

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?

Two flat conductors are placed with their inner faces separated by 6.0 mm.If the surface charge density on one of the inner faces is 40 pC/m²,what is the magnitude of the electric potential differences between the two conductors?

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a₀ = 0.529 × 10−¹⁰ m.The electric potential created by the electron at the position of the proton is

Through what potential difference must an electron (starting from rest)be accelerated if it is to reach a speed of 3.0 × 10⁷ m/s?

An infinite plane of charge with Is tilted at a 45° angle to the vertical direction as shown below.The potential difference,V_B − V_A,in volts,between points A and B,a 4.50 m distance apart,is