A 100 Ω resistor is connected to a 220 V, 50 Hz ac supply. (a) What is the rms value of current in the circuit? (b) What is the net power consumed over a full cycle?

Resistance of the resistor, R = 100 Ω,

Supply voltage, V = 220 V,

Frequency ,ν  = 50 Hz

Ans (a).

The rms value of current in the circuit is given as,

I =V/R =220/100 = 2.20 A

Ans (b).

The net power consumed over a full cycle is given as :

P = VI = 220 x 2.2 = 484 W