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JEE Main 2022 (25 Jun, Shift 2) · Dielectrics

Dielectrics question from JEE Main 2022 (25 Jun, Shift 2)

Q62JEE Main 2022 · 25 JUN · SHIFT 2Easy

Dielectrics

Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness $\frac{d}{2}$ and of area equal to area of each plate is introduced between the plates. What will be the ratio of the new capacitance to the original capacitance of the capacitor?

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Answer: (a)

Metal sheet: $C' = \frac{\varepsilon_0 A}{d - t}$ .
$d - \frac{d}{2} = \frac{d}{2}$ , so $C' = 2C$ .
So the ratio is $2:1$ , answer (a).

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