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MHT CET 2019 (2 May, Shift 2) · Dielectrics

Dielectrics question from MHT CET 2019 (2 May, Shift 2)

Q92MHT CET 2019 · 2 MAY · SHIFT 2Easy

Dielectrics

In a parallel plate air capacitor the distance between plates is reduced to one fourth and the space between them is filled with a dielectric medium of constant 2. If the initial capacity of the capacitor is $4\ \mu\text{F}$ . then its new capacity is

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Answer: (a)

$C = \frac{K\varepsilon_0 A}{d}$ , so $C \propto \frac{K}{d}$ .
$d' = \frac{d}{4}$ , $K = 2$ : $C' = 2 \times 4 \times C = 8C$ .
$C' = 8 \times 4 = 32\ \mu\text{F}$ .
So the answer is (a) $32\ \mu\text{F}$ .

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