Alternating Voltage 200в€Љ2 Sin 100t Is Connected To Microfarad Capacitor Through Ammeter

An alternating voltage E = 200√2 sin (100t) is connected to 1 microfarad capacitor through an ac ammeter. The reading … 20 mA (c)…

Answers:

The correct option (b) 20 mA

 Explanation:

 E = 200√2 sin 100t

Hence

 ω = 100 rad/sec

and

E_rms = [{200√2}/{√2}]

C = 1 × 10^–6 F

X_C = (1/ωC) = [1/{100 × 1 × 10^–6}] = 10⁴ Ω

 I = (E_rms/Z)

= [{(200√2)/√2}/{10⁴}]

= [{200}/{10⁴}]

= 2 × 10^–2 A

∴ I = 20 mA.