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COMEDK2024PhysicsCapacitance

A capacitor of 2 ~F is charged as shown in the figure. When the switch S is turned to position 2 , the percentage of its stored energy dissipated is

Options

  1. A40 %
  2. B60 %
  3. C80 %
  4. D90 %

Correct answer

C. 80 %

Step-by-step solution

Consider the given figure, When the switch S is connected to point 1, then initial energy stored in the capacitor can be given as = 1 2 (2 ~F ) V^2 When the switch S is connected to point 2, energy dissipated on connection across 8 ~F will be aligned & = 1 2 ( C₁ C₂ C₁+C₁ ), V^2= 1 2 2 ~F 8 ~F 10 ~F V^2 & = 1 2 (1.6 ~F ) V^2 aligned Therefore, % loss of energy = 1.6 2 100=80 %

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