In a parallel plate capacitor of capacitance C, a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates. The capacitance will be

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$4 C$

$\frac{3 C}{4}$

$\frac{C}{2}$

$2 C$

answer is D.

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Detailed Solution

$\begin{array}{l} C = \frac{ε_{0} A}{d} and C^{'} = \frac{ε_{0} A}{\{d - \frac{d}{2} + \frac{(d / 2)}{\infty}\}} = \frac{2 ε_{0} A}{d} \\ \Rightarrow C^{'} = 2 C \end{array}$

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