Question 1

Two protons are released simultaneously from rest when the two are 1.00 nm apart.What is the speed of either at the instant when the two are separated by 5.0 nm?

Accepted Answer

A) 10.5 km/s 
B) 10.5 m/s 
C) 14.9 km/s 
D) 14.9 m/s 
A) 10.5 km/s 
B) 10.5 m/s 
C) 14.9 km/s 
D) 14.9 m/s

Question 2

A quarter of 24.26 mm diameter is given a charge of + 10 nC.The potential energy of an electron 1 cm above the quarter is

Accepted Answer

A) -1.12 * 10-15 J. 
B) -7.92 * 10-16 J. 
C) -7.41 * 10-17 J. 
D) -12.5 * 10-18 J. 
E) -43.1 * 10-18 J. 
A) -1.12 * 10-15 J. 
B) -7.92 * 10-16 J. 
C) -7.41 * 10-17 J. 
D) -12.5 * 10-18 J. 
E) -43.1 * 10-18 J.

Question 3

There are two fixed point charges located on the x-axis.A charge of + 3.3 mC is located at x = + 2.0 m and a charge of -4.4 mC is located at x = -5.0 m.At what position on the x-axis is the electric potential equal to zero?

Accepted Answer

A) -1.5 m 
B) -1.2 m 
C) -1.0 m 
D) -0.3 m 
E) + 23 m
F) The potential will be zero at more than one of the locations given. 
A) -1.5 m 
B) -1.2 m 
C) -1.0 m 
D) -0.3 m 
E) + 23 m
F) The potential will be zero at more than one of the locations given.

Question 4

The potential energy stored in a system consisting of an electric dipole in a constant electric field is maximum when the angle between the electric dipole moment and the electric field is:

Accepted Answer

A) 0S1U1P1$\circ$S1S1P0 
B) 90S1U1P1$\circ$S1S1P0 
C) 180S1U1P1$\circ$S1S1P0 
D) the potential energy is independent of the angle between these two vectors 
A) 0S1U1P1$\circ$S1S1P0 
B) 90S1U1P1$\circ$S1S1P0 
C) 180S1U1P1$\circ$S1S1P0 
D) the potential energy is independent of the angle between these two vectors

Question 5

A charge 12 µC is placed at the center of a conducting spherical shell of radius 2.3 m.Find the electric potential at R = 0.7m.

Accepted Answer

A) 7.54 * 10-5 V 
B) 2.84 * 10-3 V 
C) 67.8 V 
D) 8.23 * 103 V 
E) 1.54 * 105 V 
A) 7.54 * 10-5 V 
B) 2.84 * 10-3 V 
C) 67.8 V 
D) 8.23 * 103 V 
E) 1.54 * 105 V

Question 6

A negative charge is released and moves along an electric field line.This negative charge 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. 
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.

Question 7

Two isolated spheres have the same electric potential at their surface,but sphere A has twice the charge of sphere B.How is the radius of sphere A related to the radius of sphere B?

Accepted Answer

A) RA = 2RB 
B) RA = RB 
C) 2RA = RB 
D) RA = 4RB 
A) RA = 2RB 
B) RA = RB 
C) 2RA = RB 
D) RA = 4RB

Question 8

Over a certain region of space the electric potential is V (Volt)= 3x - 5x2yz + 3yz2.The magnitude of the electric field at a point P (1m,1m,2m)is

Accepted Answer

A) 7.1 N/C. 
B) 12.9 N/C. 
C) 15.8 N/C. 
D) 18.5 N/C. 
E) 25.1 N/C. 
A) 7.1 N/C. 
B) 12.9 N/C. 
C) 15.8 N/C. 
D) 18.5 N/C. 
E) 25.1 N/C.

Question 9

A particle (charge 4.0 µC)is released from rest at a point on the x- axis,x = 5.0 cm.It begins to move due to the presence of a 3.0-µC charge that remains fixed at the origin.What is the kinetic energy of the particle at the instant it passes the point x = 12 cm?

Accepted Answer

A) 1.26 J 
B) 12.6 mJ 
C) -1.26 J 
D) -12.6 mJ 
A) 1.26 J 
B) 12.6 mJ 
C) -1.26 J 
D) -12.6 mJ

Question 10

Which of the following statements is true?

Accepted Answer

A) If a metal sphere is charged,the extra charge will be uniformly distributed over the volume of the sphere. 
B) On the line between two positive charges,the electric field is never zero. 
C) A positive charge will always be attracted to a metal surface,but a negative charge will be repelled. 
D) Good insulators do not conduct electricity well because they are usually doped with small amounts of impurities. 
E) On the line between two positive charges,the electric potential is never zero. 
A) If a metal sphere is charged,the extra charge will be uniformly distributed over the volume of the sphere. 
B) On the line between two positive charges,the electric field is never zero. 
C) A positive charge will always be attracted to a metal surface,but a negative charge will be repelled. 
D) Good insulators do not conduct electricity well because they are usually doped with small amounts of impurities. 
E) On the line between two positive charges,the electric potential is never zero.

Question 11

In the opposite corners of a square there are two identical ions.Each has a charge of + e.The length of one side of he square is L.What is the net electric potential caused by the two positive ions at both of the empty corners of the square?

Accepted Answer

A) ke/2L 
B) ke/L 
C)    ke/L 
D) 2ke/L 
A) ke/2L 
B) ke/L 
C)    ke/L 
D) 2ke/L

Question 12

Two isolated spheres hold the same charge,but sphere A has twice the radius of sphere B.How is the voltage near the surface of sphere A related to the voltage near the surface of sphere B?

Accepted Answer

A) VA = VB 
B) VA = 2VB 
C) 2VA = VB 
D) VA = 4VB 
A) VA = VB 
B) VA = 2VB 
C) 2VA = VB 
D) VA = 4VB

Question 13

Equipotential lines and electric field lines are always

Accepted Answer

A) disjoint. 
B) parallel. 
C) perpendicular. 
D) None are correct. 
A) disjoint. 
B) parallel. 
C) perpendicular. 
D) None are correct.

Question 14

Which of the following statements concerning the electric potential due to the two charges shown below is true? Assume V = 0 at infinity.

Accepted Answer

A) The potential is always positive in the A region. 
B) The potential is always positive in the B region. 
C) The potential is always positive in the C region. 
D) The potential is always negative in the B region. 
E) The potential cannot change sign in the B region. 
A) The potential is always positive in the A region. 
B) The potential is always positive in the B region. 
C) The potential is always positive in the C region. 
D) The potential is always negative in the B region. 
E) The potential cannot change sign in the B region.

Question 15

The electric potential inside a 10-m long linear particle accelerator is given by V = 3,000 - 5x2 volts,where x is the distance from the left plate along the accelerator tube,as shown in the figure.If a proton is released from rest at position x = 4.4 m,what is the impact speed of the proton when (and if)it collides with one of the plates?

Accepted Answer

A) never collides 
B) 8.15 * 102 m/s 
C) 1.36 * 103 m/s 
D) 2.78 * 105 m/s 
A) never collides 
B) 8.15 * 102 m/s 
C) 1.36 * 103 m/s 
D) 2.78 * 105 m/s

Question 16

For the set up shown,which statement concerning the point P is true?

Accepted Answer

A) The potential is zero and the field is to the right. 
B) The potential is zero and the field is to the left. 
C) The potential is negative and the field is zero. 
D) The potential is positive and the field is zero. 
E) The potential is zero and the field is zero. 
A) The potential is zero and the field is to the right. 
B) The potential is zero and the field is to the left. 
C) The potential is negative and the field is zero. 
D) The potential is positive and the field is zero. 
E) The potential is zero and the field is zero.

Question 17

The 10-cm long plastic rod in the figure has a non-uniform linear charge density $\lambda$ = cx,where c = 10-6 C/m2 and x is measured from the left end of the rod.Find the electric potential at point P on the y axis,a distance of 3 cm above the left end of the rod.

Accepted Answer

A) 5.9 * 102 V 
B) 6.5 * 101 V 
C) 9.0 * 102 V 
D) 1.3 * 103 V 
E) 6.7 * 102 V 
A) 5.9 * 102 V 
B) 6.5 * 101 V 
C) 9.0 * 102 V 
D) 1.3 * 103 V 
E) 6.7 * 102 V

Question 18

Electric field lines always point

Accepted Answer

A) from higher potential to lower potential. 
B) from lower potential to higher potential. 
C) in the same direction as the equipotential lines. 
D) in the opposite direction as the equipotential lines. 
A) from higher potential to lower potential. 
B) from lower potential to higher potential. 
C) in the same direction as the equipotential lines. 
D) in the opposite direction as the equipotential lines.

Question 19

A 12-V battery is connected between a hollow metal sphere with a radius of 1 m and ground as shown in the figure.What is the electric potential inside the hollow metal sphere?

Accepted Answer

A) -12 V 
B) -2.9 V 
C) 0 V 
D) 2.9 V 
E) 12 V 
A) -12 V 
B) -2.9 V 
C) 0 V 
D) 2.9 V 
E) 12 V

Question 20

The potential energy of a system of three equal charges arranged in an equilateral triangle is 0.54 J If the length of one side of this triangle is 33 cm,what is the charge of one of the three charges?

Accepted Answer

A) 4.3 $\mu$C 
B) 2.0 $\mu$C 
C) 1.7 $\mu$C 
D) 2.6 $\mu$C 
E) 3.7 $\mu$C 
A) 4.3 $\mu$C 
B) 2.0 $\mu$C 
C) 1.7 $\mu$C 
D) 2.6 $\mu$C 
E) 3.7 $\mu$C

Exam 23: Electric Potential

Two protons are released simultaneously from rest when the two are 1.00 nm apart.What is the speed of either at the instant when the two are separated by 5.0 nm?

A quarter of 24.26 mm diameter is given a charge of + 10 nC.The potential energy of an electron 1 cm above the quarter is

There are two fixed point charges located on the x-axis.A charge of + 3.3 mC is located at x = + 2.0 m and a charge of -4.4 mC is located at x = -5.0 m.At what position on the x-axis is the electric potential equal to zero?

The potential energy stored in a system consisting of an electric dipole in a constant electric field is maximum when the angle between the electric dipole moment and the electric field is:

A charge 12 µC is placed at the center of a conducting spherical shell of radius 2.3 m.Find the electric potential at R = 0.7m.

A negative charge is released and moves along an electric field line.This negative charge moves to a position of

Two isolated spheres have the same electric potential at their surface,but sphere A has twice the charge of sphere B.How is the radius of sphere A related to the radius of sphere B?

Over a certain region of space the electric potential is V (Volt)= 3x - 5x2yz + 3yz2.The magnitude of the electric field at a point P (1m,1m,2m)is

A particle (charge 4.0 µC)is released from rest at a point on the x- axis,x = 5.0 cm.It begins to move due to the presence of a 3.0-µC charge that remains fixed at the origin.What is the kinetic energy of the particle at the instant it passes the point x = 12 cm?

Which of the following statements is true?

In the opposite corners of a square there are two identical ions.Each has a charge of + e.The length of one side of he square is L.What is the net electric potential caused by the two positive ions at both of the empty corners of the square?

Two isolated spheres hold the same charge,but sphere A has twice the radius of sphere B.How is the voltage near the surface of sphere A related to the voltage near the surface of sphere B?

Equipotential lines and electric field lines are always

Which of the following statements concerning the electric potential due to the two charges shown below is true? Assume V = 0 at infinity.

For the set up shown,which statement concerning the point P is true?

The 10-cm long plastic rod in the figure has a non-uniform linear charge density λ\lambdaλ = cx,where c = 10-6 C/m2 and x is measured from the left end of the rod.Find the electric potential at point P on the y axis,a distance of 3 cm above the left end of the rod.

Electric field lines always point

A 12-V battery is connected between a hollow metal sphere with a radius of 1 m and ground as shown in the figure.What is the electric potential inside the hollow metal sphere?

The potential energy of a system of three equal charges arranged in an equilateral triangle is 0.54 J If the length of one side of this triangle is 33 cm,what is the charge of one of the three charges?

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Over a certain region of space the electric potential is V (Volt)= 3x - 5x²yz + 3yz².The magnitude of the electric field at a point P (1m,1m,2m)is