In an ac circuit, an alternating voltage e=200√2 sin 100t volt is connected to a capacitor of capacity 1 μF. The rms value of the current in the circuit is

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(4) 20 mA. From the equation, e₀=200√2 V and ω=100 rad s⁻¹, so eᵣₘₛ=(200√2)/(√2)=200 V. X_C=1/(ω C)=1/(100×1×10⁻⁶)=10⁴ Ω. iᵣₘₛ=(eᵣₘₛ)/(X_C)=(200)/(10⁴)=2×10⁻² A=20 mA.

In an ac circuit, an alternating voltage e=200√2 sin 100t volt is connected to a capacitor of capacity 1 μF. The rms value of the current in the circuit is

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