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Chapter 9: Q.54 (page 230)

An electric dipole consists of two equal but opposite electric charges, +q and -q, separated by a small distance d. If another charge Q is distance x from the center of the dipole, in the plane perpendicular to the line between +q and -q, and if x W d, the dipole exerts an electric force F=KqQd/x3on charge Q, where K is a constant. How much work does the electric force do if charge Q moves from distance x1tox2?

Short Answer

Expert verified

Work done by electric force isW=KaQd2(x22-x12x22x12)

Step by step solution

01

Content Introduction

The work done by variable force is,

W=∫x1x2Fdx

Here,Fis the force,dxis small displacement.

02

Content Explanation

Consider dipole exerts an electric force is F=KaQdx3

use formula W=∫x1x2Fdxto find work done by force F using distance x1to distance.

Use power rule of integral,

Hence work done by electric force is

W=KaQd2(x22-x12x22x12)

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