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MHT CET 2023 (13 May, Shift 1) · Electrostatic Potential Energy

Electrostatic Potential Energy question from MHT CET 2023 (13 May, Shift 1)

Q42MHT CET 2023 · 13 MAY · SHIFT 1Medium

Electrostatic Potential Energy

Three charges each of value $+q$ are placed at the corners of an isosceles triangle $ABC$ of sides $AB$ and $AC$ each equal to $2a$ . The mid points of $AB$ and $AC$ are $D$ and $E$ respectively. The work done in taking a charge $Q$ from $D$ to $E$ is ( $\varepsilon_0 =$ permittivity of free space)

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Answer: (a)

$W = Q(V_E - V_D)$ .
The triangle is symmetric about the bisector of angle A; this symmetry swaps B with C and D with E.
So $V_D = V_E$ and $W = 0$ .
So the answer is (a) zero.

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