The peak value of an alternating current is $6 \ A$. What is the root mean square (r.m.s.) value of the current?

Define the root mean square (rms) value of an alternating current and provide its formula. Also,show the relationship between the rms current and the peak current on a graph of current versus $\omega t$.

An alternating voltage is represented by $V = 80 \sin(100 \pi t) \cos(100 \pi t) \text{ V}$. The peak voltage is (in $\text{ V}$)

An alternating e.m.f. is given by $e = e_0 \sin \omega t$. In how much time will the e.m.f. have half its maximum value,if $e$ starts from zero? $(T = \text{time period}, \sin 30^{\circ} = 1/2)$

$A$ 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......$\text{A}$

$A$ resistance of $20 \, \Omega$ is connected to a source of an alternating potential $V = 220 \sin(100 \pi t)$. The time taken by the current to change from its peak value to its r.m.s. value is: