Question

In an ac circuit an alternating voltage e = 200\[\sqrt 2\] sin100t volts is connected to capacitor of capacity 1 µF. The r.m.s. value of the current in the circuit is ______.

Options

• 20 mA

• 10 mA

• 100 mA

• 200 mA

Answer 1

In an ac circuit an alternating voltage e = 200\[\sqrt 2\] sin100t volts is connected to capacitor of capacity 1 µF. The r.m.s. value of the current in the circuit is 20 mA.

Explanation:

E = 200\[\sqrt 2\] sin 100 t comparing with E = E₀ sin ωt

E₀ = 200\[\sqrt 2\] V

ω = 100 rad/s

I_rms = \[\frac {E_{rms}}{X_C}\] = \[\frac {E_0}{\sqrt 2}\] × ωC = \[\frac{200\sqrt2}{\sqrt2}\] × 100 × 1 × 10^-6 = 20 mA