An alternating current is given by $i = 2 \sin \omega t + 6 \cos \omega t$. The $R.M.S.$ current in amperes is,

$A$ complex current wave is given by $i = 5 + 5 \sin(100 \omega t) \text{ A}$. Its average value over one time period is given as......$\text{A}$

The rms value of the emf given by $E = (8 \sin \omega t + 6 \cos \omega t) \text{ V}$ is:

$A$ $10\, \Omega$ resistance is connected across $220\, V - 50\, Hz$ $AC$ supply. The time taken by the current to change from its maximum value to the rms value is $....\, ms$.

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.

The instantaneous values of current and emf in an $AC$ circuit are $I = 1/\sqrt{2} \sin(314t) \, A$ and $E = \sqrt{2} \sin(314t - \pi/6) \, V$ respectively. The phase difference between $E$ and $I$ will be