The voltage of an $ac$ source varies with time according to the equation $V = 100\sin \,\left( {100\pi t} \right)\cos \,\left( {100\pi t} \right)$ where $t$ is in seconds and $V$ is in volts. Then
The peak voltage of the source is $100\,volts$
The peak voltage of the source is $50\,volts$
The peak voltage of the source is $100/\sqrt 2\,volts$
The frequency of the source is $50\,Hz$
If $I_1, I_2, I_3$ and $I_4$ are the respective $r.m.s$. values of the time varying currents as shown in the four cases $I, II, III$ and $IV$. Then identify the correct relations.
In a circuit, current varies with time as $i = 2\sqrt t $ . Root mean square value of current for interval $t = 2\,s$ to $t = 4\,s$ is
A generator produces a voltage that is given by $V = 240\,sin \,120\,t$, where t is in seconds. The frequency and $ r.m.s.$ voltage are
The peak value of an alternating e.m.f. E is given by $E = {E_0}\cos \omega \,t$ is $10\, volts$ and its frequency is $50\; Hz$. At time$t = \frac{1}{{600}}\;sec$, the instantaneous e.m.f. is
The output sinusoidal current versus time curve of a rectifier is shown in the figure. The average value of output current in this case is