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MHT CET202311 May 2023Morning ShiftPhysicsElectrostaticsActual

Three point charges + q ,+2 q and + Q are placed at the three vertices of an equilateral triangle. If the potential energy of the system of three charges is zero, the value of Q in terms of q is

Options

  1. AQ =- 2 q 3
  2. BQ =- 1 3 q
  3. CQ = 3 q 2
  4. DQ = q 2

Correct answer

A. Q =- 2 q 3

Step-by-step solution

Potential energy due to + q and +2 q , U₁= K q(2 q) r Potential energy due to + q and + Q , U ₂= KqQ r Potential energy due to + Q and +2 q , U ₃= KQ (2 q ) r Given: Potential energy of system =0 aligned & U ₁+ U ₂+ U ₃=0 & Kq (2 q ) r + KqQ r + KQ (2 q ) r =0 & 2 q + Q +2 Q =0 & 3 Q =-2 q & Q = -2 3 q aligned

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