An alternating voltage v=200 2 (100 t) is connected to a 1 ~F capacitor through an a. c. ammeter. The reading of the ammeter shall be

Step-by-step solution

Alternating voltage: e =200 2 (100 t ) volt Comparing with e = e ₀ t =100 rad / s , e ₀=200 2 Capacitive reactance, aligned & X _ C = 1 C = 1 100 10⁻⁶ =10^4 & I ₀= e ₀ X _ C & I ₀= 200 2 10^4 & I ₀=2 2 10⁻² ~A & I _ rmi = I ₀ 2 = 2 2 10⁻² 2 =2 10⁻² ~A =20 ~mA aligned