$A$ $100 \; \Omega$ 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?

(N/A) Given:
Resistance $R = 100 \; \Omega$
Voltage $V_{rms} = 220 \; V$
Frequency $f = 50 \; Hz$
$(a)$ The $rms$ value of current $I_{rms}$ is given by:
$I_{rms} = \frac{V_{rms}}{R}$
$I_{rms} = \frac{220}{100} = 2.2 \; A$
$(b)$ The net power consumed over a full cycle in a purely resistive circuit is given by:
$P = V_{rms} \times I_{rms}$
$P = 220 \times 2.2 = 484 \; W$