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BITSAT2011PhysicsCapacitanceActual

If the potential of a capacitor having capacity 6 F is increased from 10 ~V to 20 ~V , then increase in its energywill be

Options

  1. A4 10⁻⁴ ~J
  2. B4 10⁻⁶ ~J
  3. C9 10⁻⁴ ~J
  4. D12 10⁻⁶ ~J

Correct answer

C. 9 10⁻⁴ ~J

Step-by-step solution

Capacitance of capacitor (C) =6 F =6 10⁻⁶ ~F ; Initial potential ( V ₁ )=10 ~V and final potential ( V ₂ )=20 ~V . The increase in energy ( U ) array l = 1 2 C ( V ₂²- V ₁² ) = 1 2 (6 10⁻⁶ ) [(20)²-(10)² ] = (3 10⁻⁶ ) 300=9 10⁻⁴ ~J . array

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