A point charge q = +38.0 ÂµC moves from A to B separated by adistance d = 0.172 m in the presence of an external electric fieldof magnitude 259 N/C directed toward the right as in the followingfigure.

(a) Find the electric force exerted on the charge.
magnitude 1 N
direction 2 ---Select--- toward the right toward the left Themagnitude is zero.

(b) Find the work done by the electric force.
3 J

(c) Find the change in the electric potential energy of thecharge.
4 J

(d) Find the potential difference between A and B.
VB - VA = 5 V

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A point charge q = +40.0 μC moves from A to B separated by a distance d = 0.180 m in the presence of an external electric field of magnitude 275 N/C directed toward the right as in Figure P16.16. Find (a) the electric force exerted on the charge, (b) the work done by the electric force, (c) the change in the electric potential energy of the charge, and (d) the potential difference between A and B.

blueworm505

Figure 1.0a shows an electric dipole in a uniformelectricfield with magnitude 5.0 Ã 105

N/C directed parallel to the plane of the figure. Thechargesare Â± 1.6 Ã 10-19C; both lie in

the plane and are separated by 0.125nm.

Find

a) The net force exerted by the field on the dipole;

b) The magnitude and direction of the electricdipolemoment;

c) The magnitude and direction of the Torque;

d) The potential energy of the system in position shown.

(a) (b)

Figure 1.0 (a) an electric dipole (b) Direction of theelectricdipole moment, electric field,

and torque

1.Two uncharged, conducting spheres, A and B, are held at rest oninsulating stands and are in contact. A positively charged rod isbrought near sphere A. While the rod is in place, the two spheresare separated. How will the spheres be charged, if at all, afterthey are separated?
Sphere A Sphere B
(a) positive positive
(b) positive negative
(c) negative positive
(d) negative negative
(e) zero zero

2. A charged conductor is brought near an uncharged insulator.Which one of the following statements is true?
(a) Both objects will repel each other.
(b) Both objects will attract each other.
(c) Neither object exerts an electrical force on the other.
(d) The objects will repel each other only if the conductor has anegative charge.
(e) The objects will attract each other only if the conductor has apositive charge.

3. An electron is moved from point A, where the electric potentialis VA = â240 V, to point B, where the electric potential is VB =â360 V. What is the change in the electric
potential energy?
(a) 1.92Ã10â17 J (b) 2.04Ã10â17 J (c) 5.75Ã10â17 J (d) 8.98Ã10â17 J(e) 1.05Ã10â16 J

4. A -2q charge is located a distance d to the right of a +4qcharge, along the x
axis. At which point (or points) along the axis does the electricfield go to zero? To
solve this problem, consider an observer at point P, which is anarbitrary distance x from the +4q charge. Find the value (orvalues) for x (in terms of the separation distance d) where thetotal electric field vanishes.
(a) The electric field is never zero in the vicinity of thesecharges.
(b) The electric field is zero at x = -0.328d.
(c) The electric field is zero at x = +4.22d.
(d) The electric field is zero at both x = -2.26d and x =+2.26d.
(e) The electric field is zero at x = +3.41d.

5. point A is a distance L away from a point charge Q. Point B is adistance 4L away from Q. What is the ratio of the electrostaticpotential at B to that at A, i.e., what is VB/VA?
(a) 1/16
(b) 1/9
(c) 1/4
(d) 1/3
(e) can not be determined without specifying Q and L

6. Which one of the following statements best explains why it ispossible to define an electric potential
in a region of space that contains an electric field?
(a) Work must be done to bring two positive charges closertogether.
(b) Like charges repel one another and unlike charges attract oneanother.
(c) A positive charge will gain kinetic energy as it approaches anegative charge.
(d) The work required to bring two charges together is independentof the path taken.
(e) A negative charge will gain kinetic energy as it moves awayfrom another negative charge.

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