Question 1

During a lightning discharge, 30 C of charge move through a potential difference of 1.0 *108 V in 2.0 *10-2 s.The energy released by this lightning bolt is:

Accepted Answer

A) 1.5 * 1011 J 
B) 3.0 * 109 J 
C) 6.0 * 107 J 
D) 3.3 *106 J 
E) 1500 J 
A) 1.5 * 1011 J 
B) 3.0 * 109 J 
C) 6.0 * 107 J 
D) 3.3 *106 J 
E) 1500 J

Question 2

Two conducting spheres, one having twice the diameter of the other, are separated by a distance large compared to their diameters.The smaller sphere (1)has charge q and the larger sphere (2)is uncharged.If the spheres are connected by a long thin wire and come to equilibrium:

Accepted Answer

A) 1 and 2 have the same potential 
B) 2 has twice the potential of 1 
C) 2 has half the potential of 1 
D) 1 and 2 have the same charge 
E) all of the charge is dissipated 
A) 1 and 2 have the same potential 
B) 2 has twice the potential of 1 
C) 2 has half the potential of 1 
D) 1 and 2 have the same charge 
E) all of the charge is dissipated

Question 3

An electron goes from one equipotential surface to another along one of the four paths shown below.Rank the paths according to the work done by the electric field, from least to greatest.

Accepted Answer

A) 1, 2, 3, 4 
B) 4, 3, 2, 1 
C) 1, then 3, then 4 and 2 tie 
D) 4 and 2 tie, then 3, then 1 
E) 4, 3, 1, 2 
A) 1, 2, 3, 4 
B) 4, 3, 2, 1 
C) 1, then 3, then 4 and 2 tie 
D) 4 and 2 tie, then 3, then 1 
E) 4, 3, 1, 2

Question 4

A particle with mass m and charge -q is projected with speed v0 into the region between two parallel plates as shown.The potential difference between the two plates is V and their separation is d.The change in kinetic energy of the particle as it traverses this region is:

Accepted Answer

A) -qV/d 
B)    
C) qV 
D)    
E) none of these 
A) -qV/d 
B)    
C) qV 
D)    
E) none of these

Question 5

In the diagram, the points 1, 2, and 3 are all the same very large distance from a dipole.Rank the points according to the values of the electric potential at them, from the most negative to the most positive.

Accepted Answer

A) 1, 2, 3 
B) 3, 2, 1 
C) 2, 3, 1 
D) 1, 3, 2 
E) 1 and 2 tie, then 3 
A) 1, 2, 3 
B) 3, 2, 1 
C) 2, 3, 1 
D) 1, 3, 2 
E) 1 and 2 tie, then 3

Question 6

Points R and T are each a distance d from each of two equal positive charges as shown.If k = 1/4 $\pi$  , the work required to move a particle with a charge q from R to T is:

Accepted Answer

A) 0 
B) kQq/d2 
C) kQq/d 
D)    
E) kQq/(2d) 
A) 0 
B) kQq/d2 
C) kQq/d 
D)    
E) kQq/(2d)

Question 7

A 5-cm radius conducting sphere has a charge density of 2 * 10-6 C/m2 on its surface.Its electric potential, relative to the potential far away, is:

Accepted Answer

A) 1.1 * 104 V 
B) 2.2 * 104 V 
C) 2.3 *105 V 
D) 3.6 * 105 V 
E) 7.2 *106 V 
A) 1.1 * 104 V 
B) 2.2 * 104 V 
C) 2.3 *105 V 
D) 3.6 * 105 V 
E) 7.2 *106 V

Question 8

In a certain region of space the electric potential increases uniformly from east to west and does not vary in any other direction.The electric field:

Accepted Answer

A) points east and varies with position 
B) points east and does not vary with position 
C) points west and varies with position 
D) points west and does not vary with position 
E) points north and does not vary with position 
A) points east and varies with position 
B) points east and does not vary with position 
C) points west and varies with position 
D) points west and does not vary with position 
E) points north and does not vary with position

Question 9

A particle with a charge of 5.5 *10-8C charge is fixed at the origin.A particle with a charge of-2.3 * 10-8C charge is moved from x = 3.5 cm on the x axis to y = 3.5 cm on the y axis.The change in the potential energy of the two-charge system is:

Accepted Answer

A) 3.2 * 10-4 J 
B) -3.2 *10-4 J 
C) 9.3* 10-3 J 
D) -9.3 *10-3 J 
E) 0 J 
A) 3.2 * 10-4 J 
B) -3.2 *10-4 J 
C) 9.3* 10-3 J 
D) -9.3 *10-3 J 
E) 0 J

Question 10

The diagram shows four pairs of large parallel conducting plates.The value of the electric potential is given for each plate.Rank the pairs according to the magnitude of the electric field between the plates, least to greatest.

Accepted Answer

A) 1, 2, 3, 4 
B) 4, 3, 2, 1 
C) 2, 3, 1, 4 
D) 2, 4, 1, 3 
E) 3, 2, 4, 1 
A) 1, 2, 3, 4 
B) 4, 3, 2, 1 
C) 2, 3, 1, 4 
D) 2, 4, 1, 3 
E) 3, 2, 4, 1

Question 11

A 5-cm radius isolated conducting sphere is charged so its potential is +100 V, relative to the potential far away.The charge density on its surface is:

Accepted Answer

A) +2.2* 10-7 C/m2 
B) -2.2 *10-7 C/m2 
C) +3.5 * 10-7 C/m2 
D) -3.5 * 10-7 C/m2 
E) +1.8 * 10-8 C/m2 
A) +2.2* 10-7 C/m2 
B) -2.2 *10-7 C/m2 
C) +3.5 * 10-7 C/m2 
D) -3.5 * 10-7 C/m2 
E) +1.8 * 10-8 C/m2

Question 12

A total charge of 7 * 10-8 C is uniformly distributed throughout a non-conducting sphere with a radius of 5 cm.The electric potential at the surface, relative to the potential far away, is about:

Accepted Answer

A) -1.3* 104 V 
B) 1.3 *104 V 
C) 630 V 
D) 130 V 
E) 0 V 
A) -1.3* 104 V 
B) 1.3 *104 V 
C) 630 V 
D) 130 V 
E) 0 V

Question 13

Three possible configurations for an electron e and a proton p are shown below.Take the zero of potential to be at infinity and rank the three configurations according to the potential at S, from most negative to most positive.

Accepted Answer

A) 1, 2, 3 
B) 3, 2, 1 
C) 2, 3, 1 
D) 1 and 2 tie, then 3 
E) 1 and 3 tie, then 2 
A) 1, 2, 3 
B) 3, 2, 1 
C) 2, 3, 1 
D) 1 and 2 tie, then 3 
E) 1 and 3 tie, then 2

Question 14

A particle with charge q is to be brought from far away to a point near an electric dipole.No work is done if the final position of the particle is on:

Accepted Answer

A) the line through the charges of the dipole 
B) a line that is perpendicular to the dipole moment 
C) a line that makes an angle of 45 ° with the dipole moment 
D) a line that makes an angle of 30 °  with the dipole moment 
E) none of the above 
A) the line through the charges of the dipole 
B) a line that is perpendicular to the dipole moment 
C) a line that makes an angle of 45 ° with the dipole moment 
D) a line that makes an angle of 30 °  with the dipole moment 
E) none of the above

Question 15

Three particles lie on the x axis: particle 1, with a charge of 1 * 10-8 C is at x = 1 cm, particle 2, with a charge of 2 * 10-8 C, is at x = 2 cm, and particle 3, with a charge of -3 * 10-8 C, is at x = 3 cm.The potential energy of this arrangement, relative to the potential energy for infinite separation, is:

Accepted Answer

A) "+4.9 * 10-4 J" 
B) "-4.9 * 10-4 J" 
C) "+8.5 * 10-4 J" 
D) "-8.5 * 10-4 J" 
E) "0 J" 
A) "+4.9 * 10-4 J" 
B) "-4.9 * 10-4 J" 
C) "+8.5 * 10-4 J" 
D) "-8.5 * 10-4 J" 
E) "0 J"

Exam 24: Electric Potential

During a lightning discharge, 30 C of charge move through a potential difference of 1.0 *108 V in 2.0 *10-2 s.The energy released by this lightning bolt is:

Two conducting spheres, one having twice the diameter of the other, are separated by a distance large compared to their diameters.The smaller sphere (1)has charge q and the larger sphere (2)is uncharged.If the spheres are connected by a long thin wire and come to equilibrium:

An electron goes from one equipotential surface to another along one of the four paths shown below.Rank the paths according to the work done by the electric field, from least to greatest.

A particle with mass m and charge -q is projected with speed v0 into the region between two parallel plates as shown.The potential difference between the two plates is V and their separation is d.The change in kinetic energy of the particle as it traverses this region is:

In the diagram, the points 1, 2, and 3 are all the same very large distance from a dipole.Rank the points according to the values of the electric potential at them, from the most negative to the most positive.

Points R and T are each a distance d from each of two equal positive charges as shown.If k = 1/4 π\piπ , the work required to move a particle with a charge q from R to T is:

A 5-cm radius conducting sphere has a charge density of 2 * 10-6 C/m2 on its surface.Its electric potential, relative to the potential far away, is:

In a certain region of space the electric potential increases uniformly from east to west and does not vary in any other direction.The electric field:

A particle with a charge of 5.5 *10-8C charge is fixed at the origin.A particle with a charge of-2.3 * 10-8C charge is moved from x = 3.5 cm on the x axis to y = 3.5 cm on the y axis.The change in the potential energy of the two-charge system is:

The diagram shows four pairs of large parallel conducting plates.The value of the electric potential is given for each plate.Rank the pairs according to the magnitude of the electric field between the plates, least to greatest.

A 5-cm radius isolated conducting sphere is charged so its potential is +100 V, relative to the potential far away.The charge density on its surface is:

A total charge of 7 * 10-8 C is uniformly distributed throughout a non-conducting sphere with a radius of 5 cm.The electric potential at the surface, relative to the potential far away, is about:

Three possible configurations for an electron e and a proton p are shown below.Take the zero of potential to be at infinity and rank the three configurations according to the potential at S, from most negative to most positive.

A particle with charge q is to be brought from far away to a point near an electric dipole.No work is done if the final position of the particle is on:

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During a lightning discharge, 30 C of charge move through a potential difference of 1.0 10⁸ V in 2.0 10^-2 s.The energy released by this lightning bolt is:

A particle with mass m and charge -q is projected with speed v₀ into the region between two parallel plates as shown.The potential difference between the two plates is V and their separation is d.The change in kinetic energy of the particle as it traverses this region is:

A 5-cm radius conducting sphere has a charge density of 2 * 10^-6 C/m² on its surface.Its electric potential, relative to the potential far away, is:

A particle with a charge of 5.5 10^-8C charge is fixed at the origin.A particle with a charge of-2.3 10^-8C charge is moved from x = 3.5 cm on the x axis to y = 3.5 cm on the y axis.The change in the potential energy of the two-charge system is:

A total charge of 7 * 10^-8 C is uniformly distributed throughout a non-conducting sphere with a radius of 5 cm.The electric potential at the surface, relative to the potential far away, is about: