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MHT CET20242 May 2024Morning ShiftPhysicsElectrostaticsActual

Three charges are placed at the vertices of an equilateral triangle as shown in the figure. For what value of charge ' Q ', the electrostatic potential energy of the system is zero?

Options

  1. A-q
  2. Bq 2
  3. C-2 q
  4. D- q 2

Correct answer

D. - q 2

Step-by-step solution

Potential energy U= 1 4 ₀ q ₁ q ₂ a Potential energy at A due to B= q^2 4 ₀ a Potential energy at B due to C = Qq 4 ₀ a Potential energy at C due to A = Qq 4 ₀ a aligned & Total P.E = q 4 ₀ a (q+Q+Q)=0 & 2 Q+q=0 Q=- q 2 aligned

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