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Q))Two equal chargs are ixed at x=a and x=-a on d axis.anodr pt charge Q is placed at d orign.The change in d electric potential energy of Q,when it is displaced by a small distance x along d x-axis, is approximately proportional to....

(a)x

(b)x2

(c)x3

(d)1/x

7 years ago

Chetan Mandayam Nayakar
312 Points

Dear Shalini,

Potential energy before displacement=2Qq/4πε0a, where q is equal to the strength of the two charges at a and -a. After displacement, potential energy=(Qq/4πε0)(1/(x+a)+1/(a-x)), which is approximately, (Qq/4πε0)((1/a)(1+(x/a)+(x/a)2...+ 1-(x/a)+(x/a)2...)),thus the change is approximately proportional to x2

All the best.

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Chetan Mandayam Nayakar – IIT Madras

7 years ago
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