An alternating current at any instant is given by $i = [6 + \sqrt{56} \sin (100 \pi t + \frac{\pi}{3})] \ A$. The rms value of the current is . . . . . . . (in $A$)

$A$ resistance of $20 \Omega$ is connected to a source of an alternating potential $V = 200 \sin (10 \pi t)$. If $t$ is the time taken by the current to change from the peak value to rms value,then $t$ is (in seconds).

If an $AC$ main supply is given to be $220 \ V$,what would be the average e.m.f. during a positive half cycle?

$A$ $280 \ \Omega$ electric bulb is connected to a $200 \ V$ electric line. The peak value of current in the bulb will be:

If the frequency of the source $e.m.f.$ in an $ac$ circuit is $n,$ the power varies with a frequency :-

The output voltage of a step-down transformer is measured to be $24 \text{ V}$, when connected to a $12 \text{ W}$ light bulb. The value of the peak current is . . . . . . .