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JEE Main 2026 (21 Jan, Shift 1) · Dielectrics

Dielectrics question from JEE Main 2026 (21 Jan, Shift 1)

Q10JEE Main 2026 · 21 JAN · SHIFT 1Easy

Dielectrics

A parallel plate capacitor has capacitance $C$ , when there is vacuum within the parallel plates. A sheet having thickness $\left(\frac{1}{3}\right)^{\text{rd}}$ of the separation between the plates and relative permittivity $K$ is introduced between the plates. The new capacitance of the system is:

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Answer: (d)

$C' = \frac{\varepsilon_0 A}{d - t + \frac{t}{K}}$ with $t = \frac{d}{3}$ .
$\frac{2d}{3} + \frac{d}{3K} = \frac{d(2K+1)}{3K}$ .
$C' = \frac{3KC}{2K+1}$ .
So the answer is (d).

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