An alternating voltage of amplitude 40 V and frequency 4 kHz is applied directly across the capacitor of 12 . The maximum displacement current between the plates of the capacitor is nearly

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Solution

Q.
An alternating voltage of amplitude 40 V and frequency 4 kHz is applied directly across the capacitor of 12 $μ F$ . The maximum displacement current between the plates of the capacitor is nearly [2024]

1 12 A

2 13 A

3 10 A

4 8 A

Ans.
(1)

Displacement current is same as conduction current in capacitor.

$X_{C} = \frac{1}{ω C} = \frac{1}{2 π f C}$

$= \frac{1}{2 π \times 4 \times 10^{3} \times 12 \times 10^{- 6}} = 3.317 Ω$

$I = \frac{V}{X_{C}} = \frac{40}{3.317} = 12 A$

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