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Manipal MET2017PhysicsCapacitance

Two identical air core capacitors are connected in series to a voltage source of 15 V . If one of the capacitors is filled with a medium of dielectric constant 4, the new potential across this capacitor is

Options

  1. A5 V
  2. B8 V
  3. C10 V
  4. D12 V

Correct answer

C. 10 V

Step-by-step solution

Let capacitance of each capacitor is C . Then equivalent capacitance in series is aligned & 1 C^ = 1 C + 1 C = 2 C & C^ = C 2 aligned Charge Q=C^ V= C 2 15...(i) When filled with dielectric gathered C₁=4 C, C₂=C 1 C^ = 1 4 C + 1 C = 5 4 C gathered C^ = 4 C 5 Since, charge is conserved Q=C^ V^ = 4 C 5 V^ ...(ii) From Eqs. (i) and (ii), we get gathered C 2 15= 4 C 5 V^ V^ = 15 5 4 2 =9.4 ~V 10 ~V gathered

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