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Questions  >>  CBSE XII  >>  Physics  >>  Electromagnetic waves
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Q)

The charge on a parallel plate capacitor varies as $q= q_0 \cos 2 \pi \gamma t$ The plates are very large and close together (area aa , separation =d) Neglecting the edge effects, find the displacement current through the capacitor ?

$\begin{array}{1 1} (a)\; q_{_0} 2\pi \gamma \sin 2 \pi \gamma t \\(b)\; -q_{_0} 2\pi \gamma \sin 2 \pi \gamma t \\ (c)\;q_{_0} 2\pi \gamma \cos 2 \pi \gamma t \\(d)\; -q_{_0} 2\pi \gamma \cos 2 \pi \gamma t \end{array} $

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A)
Solution :
(ie) $\large\frac{dq}{dt} =\frac{d}{dt}$$(q_0 \cos 2 \pi \gamma t)$
$\qquad= -q_0 2\pi \alpha \sin 2 \pi \gamma t$
$I_D= -q_0 2\pi \gamma \sin 2 \pi \gamma t $
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