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Question

Three point charges q, -2q and -2q are placed at the vertices of an equilateral triangle of side a. The work done by some external force to increase their separation to 2a will be

A
14πϵ0.2q2a
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B
Negative
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C
Zero
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D
14πϵ0.3q2a
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Solution

The correct option is C Zero
Ui=14πϵ0.[q1q2a+q2q3a+q3q1a]=14πϵ0[2q2a+4q2a2q2a]=0Uf=0W=UfUi=0

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