The $r.m.s.$ value of the current $i = 3 + 4 \sin(\omega t + \pi/3)$ is:

The instantaneous values of current and voltage in an $AC$ circuit are given by $I = 6 \sin(100 \pi t + \frac{\pi}{4})$ and $V = 5 \sin(100 \pi t - \frac{\pi}{4})$. Then,

In a circuit,current varies with time as $i = 2\sqrt{t}$. The root mean square value of current for the interval $t = 2\,s$ to $t = 4\,s$ is:

$A$ current in a circuit is given by $i = 3 + 4 \sin \omega t$. Then the effective value ($RMS$ value) of the current is:

If the rms current in a $50 \text{ Hz}$ $AC$ circuit is $5 \text{ A}$,and at time $t=0$,the current $I$ is $0$. The value of current $I$ at $t=\frac{1}{300} \text{ s}$ is . . . . . . $A$.

The $r.m.s.$ value of current for a variable current $i = i_1 \cos \omega t + i_2 \sin \omega t$ is: