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COMEDK2025PhysicsCapacitanceActual

The space between the two plates of a parallel plate capacitor is fully filled with a conducting slab. Then the capacitance of the capacitor is :

Options

  1. AZero
  2. BReduced to half of its original value
  3. CInfinite
  4. DDoubled

Correct answer

C. Infinite

Step-by-step solution

The capacitance C of a parallel plate capacitor with plate area A and separation d is given by C = ₀ A d . When a conducting slab of thickness t is inserted between the plates, the new capacitance is given by C' = ₀ A d - t + t K , where K is the dielectric constant of the material. For a conducting slab, the dielectric constant K is infinite, i.e., K . Substituting K into the formula, the term t K becomes zero. Since the slab fully fills the space between the plates, the thickness of the slab t is equal to the sep

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