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

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

G1 Physics · Accepted Answer

For a capacitor, maximum current is: I(max) = ωCV(max) where: ω = 2πf Therefore: I(max) = 2π × 4 × 10³ × 12 × 10⁻⁶ × 40 ≈ 12.1 A Hence, the nearest option is 12 A.