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COMEDK2023PhysicsCapacitance

A dielectric of dielectric constant K is introduced such that half of its area of a capacitor of capacitance C is occupied by it. The new capacity is

Options

  1. A2 C
  2. BC 2
  3. C(1+K) C 2
  4. D2 C(1+K)

Correct answer

C. (1+K) C 2

Step-by-step solution

The dielectric is introduced such that half of its area is occupied by it. In the given case, the two capacitors are in parallel. C^ =C₁+C₂ But C₁= A ₀ 2 d and C₂= K A ₀ 2 d Thus, C^ = A ₀ 2 d + K A ₀ 2 d C^ = C 2 (1+K)

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