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BITSAT2015PhysicsCapacitanceActual

A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V . Another capacitor of capacitance 2 C is similarly charge to a potential difference 2 ~V . The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energ

Options

  1. AZero
  2. B3 2 CV ²
  3. C25 6 CV ²
  4. D9 2 CV ²

Correct answer

B. 3 2 CV ²

Step-by-step solution

From the figure. The net charge shared between the capacitors Q^ =Q₂-Q₂=4 C V-C V=3 C V The two capacitors will have some potential, say V ^ . The net capacitance of the parallel combination of the two capacitors C^ =C₁+C₂=C+2 C+3 C The potential of the capacitors V ^ = Q ^ C ^ = 3 CV 3 C = V The electrostatic energy of the capacitors E ^ = 1 2 C ^ V ^ 2 = 1 2 (3 C ) V ²= 3 2 CV ²

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