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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
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
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
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