Five similar condenser plates, each of area $A$, are placed at equal distance apart and are connected to a source of $e.m.f.$ $V$ as shown in the following diagram. The charge on the plates $1$ and $4$ will be:-
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by equivatent circuit diagram charge on first plate
$\mathrm{Q}=\mathrm{CV}$
$Q = \frac{{{ \in _0}AV}}{d}$
Charge on fourth plate
${{\rm{Q}}^\prime } = {\rm{C}}( - {\rm{V}})\quad {{\rm{Q}}^\prime } = \frac{{ - { \in _0}{\rm{AV}}}}{{\rm{d}}}$
As plate $4$ is repeated twice, hence charge on $4$ will be $\mathrm{Q}^{\prime \prime}=2 \mathrm{Q}^{\prime}$
$\mathrm{Q}^{\prime \prime}=-\frac{2 \in_{0} \mathrm{AV}}{\mathrm{d}}$
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