Q. 14.4( 64 Votes )

# 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?

Answer :

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

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