Abington Heights High School
AP Physics
Electrostatic Potential Quiz 5
Select the answer that best completes the question.
1.
The plates of a parallel plate capacitor each have an area of 0.40 m2 and are separated by a distance of 0.02 m. They are charged until the potential difference between the plates is 3000 V. The charged capacitor is then isolated.
R-1 Ref 19-8

Suppose that a dielectric sheet is inserted to completely fill the space between the plates and the potential difference between the plates drops to 1000 V. Determine the dielectric constant.
A.0.333
B.0.666
C.3.0
D.6.0
E.2000

2.
The figure below shows four parallel plate capacitors: A, B, C, and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant k = 5.
R-2 Ref 19-9

Which list below places the capacitors in order of increasing capacitance?
A.A, B, C, D
B.B, A, C, D
C.A, B, D, C
D.B, A, D, C
E.D, C, B, A

3.
The figure below shows four parallel plate capacitors: A, B, C, and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant k = 5.
R-2 Ref 19-9

Which capacitor has the largest potential difference between its plates?
A.A
B.B
C.C
D.D
E.A and D are the same and larger than B or C.

4.
The figure below shows four parallel plate capacitors: A, B, C, and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant k = 5.
R-2 Ref 19-9

Which capacitor is storing the greatest amount of electric potential energy?
A.A
B.B
C.C
D.D
E.Since all four carry the same charge, they will store the same amount of energy.

5. At what distance from a 1.0-C charge is the electric potential equal to 12 V?
A.8.3 ´ 107 m
B.7.5 ´ 108 m
C.9.0 ´ 108 m
D.1.1 ´ 109 m
E.3.0 ´ 109 m
6.
Two positive charges are located at points A and B as shown in the figure. The distance from each charge to the point P is a = 2.0 m.
R-3 Ref 19-10

Determine the magnitude of the electric field at the point P.
A.3.38 ´ 103 V/m
B.6.75 ´ 103 V/m
C.9.55 ´ 103 V/m
D.1.35 ´ 104 V/m
E.2.70 ´ 104 V/m

7.
Two positive charges are located at points A and B as shown in the figure. The distance from each charge to the point P is a = 2.0 m.
R-3 Ref 19-10

Which statement is true concerning the direction of the electric field at P?
A.The direction is toward A.
B.The direction is toward B.
C.The direction is directly away from A.
D.The direction makes a 45° angle above the horizontal direction.
E.The direction makes a 135° angle below the horizontal direction.

8.
Two positive charges are located at points A and B as shown in the figure. The distance from each charge to the point P is a = 2.0 m.
R-3 Ref 19-10

Determine the electric potential at the point P.
A.1.35 ´ 104 V
B.1.89 ´ 104 V
C.2.30 ´ 104 V
D.2.70 ´ 104 V
E.3.68 ´ 104 V

9.
Two positive charges are located at points A and B as shown in the figure. The distance from each charge to the point P is a = 2.0 m.
R-3 Ref 19-10

Suppose that the charges are rearranged as shown in this figure.

Which one of the following statements is true for this new arrangement?
A.The electric field will be zero, but the electric potential remains unchanged.
B.Both the electric field and the electric potential are zero at P.
C.The electric field will remain unchanged, but the electric potential will be zero.
D.The electric field will remain unchanged, but the electric potential will decrease.
E.Both the electric field and the electric potential will be changed and will be non-zero.

10.
An isolated system consists of two conducting spheres A and B. Sphere A has five times the radius of sphere B. Initially, the spheres are given equal amounts of positive charge and are isolated from each other. The two spheres are then connected by a conducting wire. Note: The potential of a sphere of radius R that carries a charge Q is V = kQ/R, if the potential at infinity is zero.
R-4 Ref 19-11

Which one of the following statements is true after the spheres are connected by the wire?
A.The electric potential of A is 1/25 as large as that of B.
B.Both spheres are at the same electric potential.
C.The electric potential of A is 25 times larger than that of B.
D.The electric potential of A is 1/5 as large as that of B.
E.The electric potential of A is five times larger than that of B.

11.
An isolated system consists of two conducting spheres A and B. Sphere A has five times the radius of sphere B. Initially, the spheres are given equal amounts of positive charge and are isolated from each other. The two spheres are then connected by a conducting wire. Note: The potential of a sphere of radius R that carries a charge Q is V = kQ/R, if the potential at infinity is zero.
R-4 Ref 19-11

Determine the ratio of the charge on sphere A to that on sphere B, qA/qB, after the spheres are connected by the wire.
A.1
B.1/5
C.5
D.25
E.1/25


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