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A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant K_1 and K_2 of same…

JEE Main 2021 — Physics Electromagnetism

2021mcqhard

A parallel-plate capacitor with plate area AAA has separation ddd between the plates. Two dielectric slabs of dielectric constant K1{K}_{1}K1​ and K2{K}_{2}K2​ of same area A2\frac{A}{2}2A​ and thickness d2\frac{d}{2}2d​ are inserted in the space between the plates. The capacitance of the capacitor will be given by :

JEE Main 2021 Physics, Capacitance — question figure

Official previous-year question

Held on 26 Aug 2021 · Verified 6 Jul 2026.

Options

  1. A

    ϵ0Ad(12+K1K2K1+K2)\frac{{\epsilon }_{0}A}{d}(\frac{1}{2}+\frac{{K}_{1}{K}_{2}}{{K}_{1}+{K}_{2}})dϵ0​A​(21​+K1​+K2​K1​K2​​)

  2. B

    ϵ0Ad(12+2(K1+K2)K1K2)\frac{{\epsilon }_{0}A}{d}(\frac{1}{2}+\frac{2({K}_{1}+{K}_{2})}{{K}_{1}{K}_{2}})dϵ0​A​(21​+K1​K2​2(K1​+K2​)​)

  3. C

    ϵ0Ad(12+K1+K2K1K2)\frac{{\epsilon }_{0}A}{d}(\frac{1}{2}+\frac{{K}_{1}+{K}_{2}}{{K}_{1}{K}_{2}})dϵ0​A​(21​+K1​K2​K1​+K2​​)

  4. D

    ϵ0Ad(12+K1K22(K1+K2))\frac{{\epsilon }_{0}A}{d}(\frac{1}{2}+\frac{{K}_{1}{K}_{2}}{2({K}_{1}+{K}_{2})})dϵ0​A​(21​+2(K1​+K2​)K1​K2​​)

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