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MHT CET202519 Apr 2025Evening ShiftPhysicsCapacitanceActual

Two parallel plate air capacitors of same capacity 'C' are connected in parallel to a battery of e.m.f. ' E '. Then one of the capacitors is completely filled with dielectric material of constant ' K '. The change in the effective capacity of the parallel combination is

Options

  1. AC ( K -1)
  2. BKC K -1
  3. CKC +1
  4. DC ( K -1)

Correct answer

D. C ( K -1)

Step-by-step solution

The initial effective capacitance of two identical parallel plate air capacitors in parallel is C_ initial = C + C = 2C . After introducing a dielectric with constant K into one capacitor, its capacitance becomes C₁' = KC while the other remains C₂ = C . The new effective capacitance is C_ final = KC + C = C(K + 1) . The change in effective capacitance is C = C_ final - C_ initial = C(K + 1) - 2C = C(K - 1) . This corresponds to option D .

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