b) B c) C d) D e) E
24.4.2. The drawing shows three point charges of equal magnitude, but one is positive (shown in blue) and two are negative (shown in yellow).
Some of the equipotential lines surrounding these charges are shown and five are labeled using letters A, B, C, D, and E. At which of the labeled points will an electron have the greatest electric potential energy?
a) A

24.4.3. The drawing shows three point charges of equal magnitude, but one is positive (shown in blue) and two are negative (shown in yellow). Some of the equipotential lines surrounding these charges are shown and five are labeled using letters A, B, C, D, and E. What is the direction of the electric field at the location of the letter “D?” a) perpendicular to the equipotential line marked
“D” and directed toward the negative charge closest to it b) parallel to the equipotential line marked
“D” and directed toward the location of the letter “C” c) perpendicular to the equipotential line marked
“D” and directed toward the location of the letter “A” d) toward the negative charge in the lower part of the drawing e) toward the positive charge

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:
4.
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

24.4.5. Consider the equipotential lines shown in the box. The labeled cases indicate electric field line drawings. Which of these cases best matches the equipotential lines shown?
a) 1 b) 2 c) 3 d) 4 e) None of these cases match the equipotential lines shown.

24.8.1. An electric dipole is situated on the y axis as shown. The two charges of opposite sign are of equal magnitude Q = 2.0 C.
Determine the magnitude of the electric potential at point P.
a) 1.1 × 10 9 V b) 2.2 × 10 9 V c) 4.5 × 10 9 V d) 9.0 × 10 9 V e) zero volts

24.7.1. Consider the four arrangements of three point charges. Rank the values of the total electric potential at point P in each case in descending order (with the largest first).
a) V
A
> V
D
> V
C
> V
B b) V
C
> V
B
> V
D
> V
A c) V
C
> V
D
> V
A
> V
B d) V
B
> V
C
> V
B
> V
A e) V
D
> V
B
> V
A
> V
C

Two particle with charges Q and Q are fixed at the vertices of an equilateral triangle with sides of length a . If k = 1/4 pe
0
, the work required to move a particle with a charge q from the other vertex to the center of the line joining the fixed charges is:
7.
A) 0
B) kQq / a
C) kQq / a 2
D) 2 kQq / a
E)
2 kQq a

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.
1.
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

Points R and T are each a distance d from each of two particles with charges of equal magnitudes and opposite signs as shown.
If k = 1/4 pe
0
, the work required to move a particle with negative charge q from R to T is:
2.
A) zero
B) kqQ / d 2
C) kqQ / d kqQ
 
D)
E) kQq /(2 d )

Points R and T are each a distance d from each of two equal positive charges as shown. If k = 1/4 pe
0
, the work required to move a particle with a charge q from R to T is:
A)
B)
C)
D)
E)
0 kQq / d 2 kQq / d kqQ kQq /(2 d )

24.8.1. The drawing shows four points surrounding an electric dipole.
Which one of the following expressions best ranks the electric potential at these four locations?
a) 1 > 2 > 3 > 4 b) 1 > 2 = 4 > 3 c) 3 > 2 > 4 > 1 d) 3 > 2 = 4 > 1 e) 2 = 4 > 1 = 3

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:
4.
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

5. Two conducting spheres are far apart. The smaller sphere carries a total charge of Q. The larger sphere has a radius that is twice that of the smaller and is neutral. After the two spheres are connected by a conducting wire, the charges on the smaller and larger spheres, respectively, are:
Q /2 and Q /2
)
A
)
B
)
C
Q /3 and 2 Q /3
2 Q /3 and Q /3
)
E
)
D zero and Q
2 Q and – Q

24.11.1. Consider the system shown in the drawing. A positive charge Q is placed at the center of a hollow conductor that was initially electrically neutral. The arrows are pointing to four locations: (1) a point in the conductor near the outer surface, (2) a point in the hollow space located halfway between the charge Q and the inner surface, (3) a point in the conductor halfway between the inner and outer surfaces, and (4) a point in the conductor near the inner surface. Which of the following choices best ranks the electric potentials at these four locations?
a) 1 = 2 = 3 = 4 b) 2 > 1 = 3 = 4 c) 1 = 3 = 4 > 2 d) 1 > 4 > 3 > 2 e) 2 > 3 > 4 > 1