The charge on a parallel plate capacitor varies as
.
The plates are very large and close together (area = A, separation = d). Neglecting the edge effects, find the displacement current through the capacitor?
Given
The charge stored in the capacitor q = q0cos2πνt.
The displacement current between the plates of a capacitor is given as,
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Where,
is the electric flux between the plates, which can be determined by using the Gauss’s law
Gauss’s law states that the net electric flux enclosed through a closed surface is equal to the charge enclosed within the surface divided by the permittivity i.e
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Therefore, the flux,
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Hence, the displacement current is then,

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