A 60 μF capacitor is connected to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit.

Capacitance of capacitor, C = 60 μF = 60 x 10^-6 F

Supply voltage, V = 110 V

Frequency, ν = 60 Hz

Angular frequency, ω= 2πν
Capacitive reactance,
X_C = 1/ωC = 1/2πνC =1/ (2π x 60 x 60 x 10^-6) Ω

rms value of current is given as :

I = V/X_C = 110/(1/ (2π x 60 x 60 x 10^-6) )

= 110 x (2π x 60 x 60 x 10^-6)= 2.49 A
Hence, the rms value of current is 2.49 A.