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JEE Main 2022 (29 Jun, Shift 1) · Dielectrics

Dielectrics question from JEE Main 2022 (29 Jun, Shift 1)

Q63JEE Main 2022 · 29 JUN · SHIFT 1Medium

Dielectrics

A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 15. Then the energy of capacitor will:

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Answer: (a)

Battery stays connected, so $V$ is constant and $U=\frac{1}{2}CV^2 \propto C \propto K$ .
$\frac{U'}{U}=\frac{15}{10}=1.5$
So the answer is (a) energy increases by 50%.

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