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COMEDK2015PhysicsCapacitance

A parallel plate capacitor has a capacity C . The separation between the plates is doubled and a dielectric medium is inserted between the plates. If the capacity is 3 C , then the dielectric constant of the medium will be

Options

  1. A1.5
  2. B3
  3. C6
  4. D12

Correct answer

C. 6

Step-by-step solution

We know that, capacitance of a parallel plate capacitor, C= ₀ A d where, A= area of plate d= separation between the plates. When d^ =2 d , then C^ = ₀ A K d^ 3 C= ₀ A K 2 d [ C^ =3 C ] 3 C= ₀ A d K 2 3 C=C K 2 [from Eq. (i)] 3= K 2 K=6

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