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Question: Two equal point charges are fixed at x = –a and x = + a on the x-axis. Another point charge Q is pla...

Two equal point charges are fixed at x = –a and x = + a on the x-axis. Another point charge Q is placed at the origin. The change in the electrical potential energy of Q, when it is displaced by a small distance x along the x-axis, is approximately proportional to -

A

X

B

x2

C

x3

D

1/x

Answer

x2

Explanation

Solution

\ Ui =

if charge is displaced Uf = +

DU = Uf – Ui = Kqq'

if x2 < < a2 \ DU µ x2