The maximum value of $a.c.$ voltage in a circuit is $707 \ V$. Its $rms$ value is.....$V$

Find the time required for $50\,Hz$ alternating current to change its value from zero to maximum value.

The alternating current in a circuit is described by the graph shown in the figure. Calculate the root mean square $(I_{rms})$ current for this waveform.

An alternating e.m.f. is given as $e = e_0 \sin \omega t$. In what time will the e.m.f. have half its maximum value if $e$ starts from zero?
$(T = \text{time period}, \sin 30^{\circ} = \cos 60^{\circ} = 0.5)$

$A$ 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:

For an alternating current $I = I_0 \cos(\omega t)$,what is the $rms$ value and peak value of the current?