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Chapter 4: Q2E (page 777)

A point chargeq1is held stationary at the origin. A second chargeis placed at point, and the electric potential energy of the pair of charges is+5.4脳10-8J. When the second charge is moved to point b, the electric force on the charge does-1.9脳10-8Jwork. What is the electric potential energy of the pair of charges when the second charge is at point?

Short Answer

Expert verified

The electric potential energy of the pair of charges when the second charge is at point bis +7.3脳10-8J.

Step by step solution

01

Definition of Potential energy

Consider the formula for the work required to move a charge from the point a to the point b is:

Wa鈫�b=Ua-Ub

Here, Uaand Ubare the initial and final electric potential respectively.

02

Determine the electric potential energy of the pair of charges when the second charge is at point

Consider the given initial electric potential asUa=+5.4脳10-8鈥�J.

Chargemoves to pointwhere work done isWa鈫�b=-1.9脳10-8鈥�J.

Substitute the values in the equation (1) and solve as:

-1.9脳10-8鈥�J=+5.4脳10-8鈥�J-UB

Solve forUBas:

ub=+5.4脳10-8J--1.9脳10-8J=+7.3脳10-8J

Hence, the electric potential energy of the pair of charges when the second charge is at point bis +7.3脳10-8鈥�J.

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