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NEET 2011 (AIPMT, Prelims) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from NEET 2011 (AIPMT, Prelims)

Q117NEET 2011 · AIPMT · PRELIMSMedium

Electric Potential & Equipotentials

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

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Answer: (c)

A is at distance $L$ from each $+q$ and $\sqrt{(2L)^2 + L^2} = \sqrt5\,L$ from each $-q$ .
$V_A = k\left[\dfrac{2q}{L} - \dfrac{2q}{\sqrt5\,L}\right]$
$V_A = \dfrac{1}{4\pi\varepsilon_0}\dfrac{2q}{L}\left(1 - \dfrac{1}{\sqrt5}\right)$
So the answer is (c).

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