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MHT CET 2024 (11 May, Shift 1) · Dielectrics

Dielectrics question from MHT CET 2024 (11 May, Shift 1)

Q46MHT CET 2024 · 11 MAY · SHIFT 1Medium

Dielectrics

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

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Answer: (c)

Initially: $C_i = \frac{C}{2}$ . After filling one: $C_f = \frac{KC}{K+1}$ .
$\Delta C = \frac{KC}{K+1} - \frac{C}{2} = \frac{C}{2}\left[\frac{K-1}{K+1}\right]$
So the answer is (c).

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