A 100Ω resistor is connected to a 220 V, 50 Hz A.C. supply.

(a) What is the rms value of current in the circuit?

(b) What is the net power consumed over a full cycle?

Given:

Resistance, R = 100Ω

Voltage, V_rms = 220 V

Frequency of A.C. supply, F = 50 Hz

(a) The root mean square value of the current in the circuit can be calculated as follows:

I_rms = V_rms/R

⇒ I_rms = (220V)/(100Ω)

⇒ I_rms = 2.20 A

(b) The net power consumed over a full cycle can be calculated as follows:

P = Voltage × Current

P = V × I

P = (220V) × (2.20A)

⇒ P = 484 W