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?

As per the question, we can list out the following data

Resistance R= 100 Ω 

voltage Vrms = 220volt

frequency f= 50Hz

a) The rms value of the current is 

Irms​= Vrms / R

Irms = 220/100 = 2.2A

b) Net power consumed over full cycle is

P = Vrms x Irms

P = 220x2.2 = 484 Watt or 484 W