   Chapter 16, Problem 15P

Chapter
Section
Textbook Problem

Two point charges Q1 = +5.00 nC and Q2 = −3.00 nC are separated by 35.0 cm. (a) What is the electric potential at a point midway between the charges? (b) What is the potential energy of the pair of charges? What is the significance of the algebraic sign of your answer?

(a)

To determine
The potential at a point midway between the charges.

Explanation

Formula to calculate the potential is,

V=keQ1(d/2)+keQ2(d/2)=2keQ1d+2keQ2d

• ke is the Coulomb constant.
• d is the distance of separation between the charges.

Substitute 5.00 nC for Q1 , -3.00 nC for Q2 , 2.00 cm for d and 8.99×109 Nm2C2 for ke .

V=2(8.99×109 Nm2C2)(5.00nC)35.0cm+2(8

(b)

To determine
The potential energy.

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