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Question: A charge \(( - q)\) and another charge \(( + Q)\) are kept at two points A and B respectively. Keepi...

A charge (−q)( - q) and another charge (+Q)( + Q) are kept at two points A and B respectively. Keeping the charge (+Q)( + Q) fixed at B, the charge (−q)( - q) at A is moved to another point C such that ABC forms an equilateral triangle of side l. The net work done in moving the charge (−q)( - q) is

A

14πε0Qql\frac{1}{4\pi\varepsilon_{0}}\frac{Qq}{l}

B

14πε0Qql2\frac{1}{4\pi\varepsilon_{0}}\frac{Qq}{l^{2}}

C

14πε0Qql\frac{1}{4\pi\varepsilon_{0}}Qql

D

Zero

Answer

Zero

Explanation

Solution

According to figure, potential at A and C are equal. Hence work done in moving – q charge from A to C is zero.