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Question

A parallel plate capacitor is made of two square plates of side 'a', separated by a distance d (d < < a). The lower triangular portion is filled with a dielectric of dielectric constant K, as shown in the figure. Capacitance of this capacitor is :

${{K{ \in _0}{a^2}} \over {2d(K + 1)}}$
${{K{ \in _0}{a^2}} \over {d(K - 1)}}\ln K$
${{K{ \in _0}{a^2}} \over d}\ln K$
${1 \over 2}{{K{ \in _0}{a^2}} \over d}$

Solution

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