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MHT CET 2023 (12 May, Shift 2) · Electrostatic Potential Energy

Electrostatic Potential Energy question from MHT CET 2023 (12 May, Shift 2)

Q39MHT CET 2023 · 12 MAY · SHIFT 2Medium

Electrostatic Potential Energy

Three point charges $+Q, +2q$ and $+q$ are placed at the vertices of a right angled isosceles triangle. The net electrostatic potential energy of the configuration is zero, if $Q$ is equal to

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Answer: (a)

Q is at the right angle: legs $a$ , hypotenuse $\sqrt2 a$ .
$U = k\left[\dfrac{2qQ}{a} + \dfrac{qQ}{a} + \dfrac{2q^2}{\sqrt2 a}\right] = 0$
$3Q = -\sqrt2 q \Rightarrow Q = -\dfrac{\sqrt2}{3}q$
So the answer is (a).

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