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MHT CET 2025 (20 Apr, Shift 1) · Electrostatic Potential Energy

Electrostatic Potential Energy question from MHT CET 2025 (20 Apr, Shift 1)

Q25MHT CET 2025 · 20 APR · SHIFT 1Medium

Electrostatic Potential Energy

Three point charges +Q,+2Q+Q, +2Q and qq are placed at the vertices of an equilateral triangle. The value of charge qq in terms of QQ, so that electrical potential energy of the system is zero, is given by

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Answer: (c)

  1. Equal separations, so the sum of charge products must be zero.
  2. Q(2Q)+Qq+2Qq=0⇒2Q+3q=0Q(2Q) + Qq + 2Qq = 0 \Rightarrow 2Q + 3q = 0
  3. q=−23Qq = -\dfrac{2}{3}Q. So the answer is (c).
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