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Manipal MET2014PhysicsCapacitance

The amount of work done in increasing the voltage across the plates of a capacitor from 5 V to 10 V is W . The work done in increasing it from 10 V to 5 V will be

Options

  1. A0.6 W
  2. B1 W
  3. C1.25 W
  4. D1.67 W

Correct answer

D. 1.67 W

Step-by-step solution

As we know that work done =U_ final -U_ initial = 1 2 C (V₂^2-V₁^2 ) When potential difference increases from 5 V to 10 V then W= 1 2 C (10^2-5^2 ) ...(i) When potential difference increases form 10 V to 15 V , then W^ = 1 2 C (15^2-10^2 ) ...(ii) On solving Eqs. (i) and (ii) we get W^ =1.67 W

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