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MHT CET 2021 (24 Sep, Shift 2) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2021 (24 Sep, Shift 2)

Q79MHT CET 2021 · 24 SEP · SHIFT 2Medium

Electric Potential & Equipotentials

Four electric charges $+q, +q, -q$ and $-q$ are placed in order at the corners of a square of side $2L$ . The electric potential at point midway between the two positive charges is

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Answer: (d)

Midpoint of the $+q,+q$ side: distance $L$ to each $+q$ , $\sqrt5\,L$ to each $-q$ .
$V = k\left[\dfrac{2q}{L} - \dfrac{2q}{\sqrt5\,L}\right]$
$V = \dfrac{1}{4\pi\epsilon_0}\dfrac{2q}{L}\left(1 - \dfrac{1}{\sqrt5}\right)$
So the answer is (d).

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