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MHT CET 2021 (21 Sep, Shift 2) · Dielectrics

Dielectrics question from MHT CET 2021 (21 Sep, Shift 2)

Q84MHT CET 2021 · 21 SEP · SHIFT 2Medium

Dielectrics

Two identical parallel plate air capacitors are connected in series to a battery of emf ' $V$ '. If one of the capacitor is inserted in liquid of dielectric constant ' $K$ ' then, potential difference of the other capacitor will become

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Answer: (c)

Series: same charge, so $V \propto \frac{1}{C}$ . Capacitances are $KC$ and $C$ .
$V_{other} = V \cdot \frac{KC}{KC + C} = \frac{KV}{K+1}$
So the answer is (c) $\frac{KV}{K+1}$ .

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