# 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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