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, Vrms = 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:


Irms = Vrms/R


⇒ Irms = (220V)/(100Ω)


⇒ Irms = 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


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