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MHT CET202313 May 2023Evening ShiftPhysicsCapacitanceActual

In a parallel plate capacitor with air between the plates, the distance ' d ' between the plates is changed and the space is filled with dielectric constant 8 . The capacity of the capacitor is increased 16 times, the distance between the plates is

Options

  1. A2 ~d
  2. B4 ~d
  3. Cd 2
  4. Dd 4

Correct answer

C. d 2

Step-by-step solution

C ₁= A ₀ ~d ...(i) C ₂= 8 ~A ₀ ~d ^ 16 C ₁= 8 ~A ₀ ~d ^ ...(iii) where d ^ the unknown separation. Dividing (i) by (ii) C₁ 16 C₁ = A ₀ d d^ A ₀ 8 ~d 16 = d ^ d ^ = d 2

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