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MHT CET2016PhysicsCapacitance

The amount of work done in increasing the voltage across the plates of the capacitor from 5 V to 10 V is W . The work done in increasing it from 10 V to 15 V will be

Options

  1. AW
  2. B0.6 W
  3. C1.25 W
  4. D1.67 W

Correct answer

D. 1.67 W

Step-by-step solution

The work done in increasing the potential is given by W = d U ∝ ( V 2 2 - V 1 2 ) ∴ W 1 W 2 = ( V 2 2 - V 1 2 ) ( V 3 2 - V 2 2 ) h e r e V 1 = 5 v , V 2 = 10 V a n d V 3 = 15 V ∴ W W 2 + 100 - 25 225 - 100 = 75 125 ∴ W 2 = 1.67 W

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