First slide

Maxwell's displacement current

Question

The charge on a parallel plate capacitor varies $Q = Q_{o} \sin 2 π f t$ . The plates are very large and close together ( area of plates is A and separation is d) Neglecting the edge effects, the displacement current through the capacitor is

Moderate

A

$Q_{o}$
B

$Q_{o} 2 π f \cos 2 π f t$
C

$Q_{o} \cos 2 π f t$
D

Zero

Solution

Displacement current, $I_{D} =$ conduction current $I_{C}$
$I_{D} = I_{C} = \frac{d q}{d t} = \frac{d}{d t} Q_{o} (\sin 2 π f t)$
$I_{D} = I_{C} = Q_{o} \times 2 π f \cos 2 π f t$

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