Question

A 100 W 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?

Answer 1

Resistance of the resistor, R = 100 Ω

Supply voltage, V = 220 V

Frequency, ν = 50 Hz

(a) The rms value of current in the circuit is given as

$I=\frac{V}{R} = \frac{220}{100} = 2.20A$

(b) The net power consumed over a full cycle is given as:

P = VI = 220 × 2.2 = 484 W