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MHT CET · Physics · Capacitance

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

  1. A \(\frac{\mathrm{C}}{(\mathrm{K}-1)}\)
  2. B \(\frac{\mathrm{KC}}{\mathrm{K}-1}\)
  3. C \(\mathrm{KC}+1\)
  4. D \(\mathrm{C}(\mathrm{K}-1)\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\mathrm{C}(\mathrm{K}-1)\)

Step-by-step Solution

Detailed explanation

\( C_{initial} = C + C = 2C \) \( C_{final} = KC + C = C(K+1) \)