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Question 31583
JEE Physics · Hard

Capacitance: Dielectric with Two Gaps MCQ

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Dielectric with Two GapsHardQuestion 31583

Question

A capacitor has plate separation d. A metal slab of thickness t (t < d) is inserted. New capacitance relative to original:
  1. A
    Cd/(d−t)
    Correct
  2. B
    C(d−t)/d
  3. C
    Cd/t
  4. D
    Ct/d

Correct answer

Cd/(d−t)

Explanation

Metal (K→∞) reduces effective gap to (d−t). C_new = ε₀A/(d−t) = C·d/(d−t) > C. Metal slab increases capacitance.

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