Physics · 2014
JEE Main · 19 April 2014, Shift 1 · Q17
The gap between the plates of a parallel plate capacitor of area A and distance between plates d, is filled with a dielectric whose permittivity…
The gap between the plates of a parallel plate capacitor of area A and distance between plates d, is filled with a dielectric whose permittivity varies linearly from $\displaystyle \epsilon_1$ at one plate to $\displaystyle \in_2$ at the other. The capacitance of capacitor is :
Official answer
(4)
$\displaystyle \epsilon_0\left(\epsilon_2-\epsilon_1\right) \mathrm{A} /\left[\mathrm{d} \ln \left(\epsilon_2 / \epsilon_1\right)\right]$
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JEE Main 2014 Physics question, with the answer from NTA’s final answer key. Where our answers come from.