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MHT CET202314 May 2023Evening ShiftPhysicsCapacitanceActual

Two condensers one of capacity C 2 and other capacity C are connected to a battery of voltage V as shown. The work done in charging fully both the condensers is

Options

  1. A1 2 CV ^2
  2. B3 4 CV ^2
  3. C3 2 CV ^2
  4. D2 CV ^2

Correct answer

B. 3 4 CV ^2

Step-by-step solution

The two condensers are in parallel. Their equivalent capacitance is C _ e = C + C 2 = 3 C 2 The formula for work done is aligned & W = 1 2 C _ e V ^2 & ~W = 1 2 ( 3 C 2 ) V ^2 & ~W = 3 4 CV ^2 aligned

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