The voltage of an $ac$ supply varies with time $(t)$ as $V = 120\sin 100\,\pi \,t\cos 100\pi \,t.$ The maximum voltage and frequency respectively are
$120 \,volts, \,100 \,Hz$
$\frac{{120}}{{\sqrt 2 }} \,volts, \,100 \,Hz$
$60 \,volts, \,200 \,Hz$
$60 \,volts, \,100 \,Hz$
In alternating current circuits, the $a.c$. meters measure
In an $ac$ circuit $I = 100\, sin \,200$ $\pi t.$ The time required for the current to achieve its peak value will be
An alternating current is given by the equation $i = {i_1}\cos \,\omega \,t + {i_2}\sin \omega \,t$. The r.m.s. current is given by
If ${E_0}$ represents the peak value of the voltage in an ac circuit, the r.m.s. value of the voltage will be
Find the effective value of current $i = 2\, sin\, 100\pi t + 2cos\,(100\pi t + 30^o)$