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MHT CET Medical202621 April 2026Evening ShiftPhysicsCapacitanceActual

Two capacitors of capacity C and C/3 are connected to a battery of voltage V as shown. The work done in charging both the capacitors fully is

Options

  1. AC V^2/3
  2. B4 C V^2/3
  3. C2 C V^2/3
  4. D3 C V^2

Correct answer

B. 4 C V^2/3

Step-by-step solution

The given capacitors having capacitance C and C 3 are connected in parallel across the battery. The equivalent capacitance C_ eq of the circuit is: C_ eq = C + C 3 = 4C 3 The total charge q drawn from the battery to fully charge the capacitors is: q = C_ eq V = ( 4C 3 )V The work done W by the battery in supplying this charge is given by the product of the total charge and the potential difference of the battery: W = qV W = ( 4CV 3 )V W = 4CV^2 3

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