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Question

Four electric charges +q,+q,q and q are placed at the corners of a square of side 2L (see figure). The electric potential at point A (midway between the two charges +q and q ) is

A
14π02qL(1+5)
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B
14π02qL(1+15)
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C
14π02qL(115)
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D
Zero
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Solution

The correct option is C 14π02qL(115)

Let VA= potential at A due to all charges
VMA= potential at A due to charge at M
VNA= potential at A due to charge at N
VOA= potential at A due to charge at O
VPA= potential at A due to charge at P
Distance between N and A = Distance between O and A = (2L)2+L2=L5
VA=VMA+VPA+VNA+VOA
VA=kqL+kqLkqL5kqL5VA=14πε02qL(115)

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