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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

Asked in JEE Main 5th April 1st Shift 2024 · Capacitor on an a.c. source

• (1) 13 A
• (2) 8 A
• (3) 10 A
• (4) 12 A

Step-by-step solution

Why the other options are wrong

• (1) 13 A needs ω = 2.7 × 10⁴ rad s⁻¹ 2π × 4 kHz = 2.51 × 10⁴
• (2) 8 A ≈ 12.06/√2 — you converted the given amplitude 40 V into an rms value before dividing by X_C
• (3) 10 A is ω CV₀ with C = 10 μF; the stem gives 12 μF, hence 12 A

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