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MHT CET202618 April 2026Morning ShiftPhysicsCapacitanceActual

In an oscillating LC circuit, the maximum charge on the capacitor is Q. When the energy is stored equally between the electric and magnetic fields, the charge on the capacitor becomes

Options

  1. AQ 2
  2. BQ 3
  3. CQ 2
  4. DQ 4

Correct answer

A. Q 2

Step-by-step solution

The total energy of the oscillating LC circuit is given by U = Q^2 2C Let q be the charge on the capacitor when the energy is equally shared between the electric and magnetic fields. The electric energy stored in the capacitor at this instant is U_E = q^2 2C Since the energy is equally divided between the electric and magnetic fields, the electric energy is half of the total energy: U_E = U 2 q^2 2C = 1 2 ( Q^2 2C ) q^2 = Q^2 2 q = Q 2 Answer: Q 2

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