An $ac$ current is represented as $i = 5 \sqrt{2} + 10 \cos \left(650 \pi t + \frac{\pi}{6}\right) \text{ A}$. The $r.m.s$ value of the current is:

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.

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

If an alternating current is given by $i = a \sin(\omega t) + b \cos(\omega t)$,then the $rms$ value of the current is

If an alternating voltage is represented as $E = 141 \sin(628 t)$,then the rms value of the voltage and the frequency are respectively:

The instantaneous value of an $AC$ is given by $I = 5 \sin (\omega t + \phi) \text{ A}$. The rms value of current is