$100\text{ W}$ रेटेड एक प्रकाश बल्ब $220\text{ V}$, $50\text{ Hz}$ के $AC$ स्रोत से जुड़ा है। बल्ब से प्रवाहित होने वाली $rms$ धारा है: (in $text{ A}$)

An $AC$ source has a voltage of $220V$ and a frequency of $50\,Hz$. How much time (in $sec$) does it take for the voltage to reach zero from its maximum value?

The instantaneous value of an alternating current is given by $I = 50 \sin(100 \pi t)$. It will achieve a value of $25 \ A$ after a time interval of (given $\sin 30^{\circ} = 0.5$):

For a domestic $AC$ supply of $220 \ V$ at $50 \ \text{cycles per sec}$, the potential difference between the terminals of a two-pin electric outlet in a room is given by

In an $ac$ circuit,the instantaneous voltage $e(t)$ and current $i(t)$ are given by $e(t) = 5[\cos \omega t + \sqrt{3} \sin \omega t] \ V$ and $i(t) = 5[\sin(\omega t + \frac{\pi}{4})] \ A$. Determine the phase relationship between voltage and current.

$A$ group of lamps having a total power rating of $1000 \,W$ is supplied by an $AC$ voltage of $E = 200 \sin(310t + 60^{\circ})$. The $r.m.s.$ value of the current flowing through the circuit is: