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Three identical then metallic plates each of area A are arranged parallel to each other with separation ‘d’ between adjacent plates and the outer plates are connected through a high resistance R as shown. A charge Q is given to the middle plate and then the middle plate is quickly shifted towards one of the outer plates by a distance $\frac{d}{2}$ . Find the heat dissipated in the resistor after this shift.

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$\frac{Q^{2} d}{2 \in_{0} A}$

$\frac{Q^{2} d}{4 \in_{0} A}$

$\frac{Q^{2} d}{8 \in_{0} A}$

$\frac{Q^{2} d}{16 \in_{0} A}$

answer is D.

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$C_{1} = \frac{2 \in_{0} A}{d}, C_{2} = \frac{2 \in_{0} A}{3 d}$ $H e a t = U_{i} - U_{f}$

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