If ${E_0}$ represents the peak value of the voltage in an ac circuit, the r.m.s. value of the voltage will be

For the $RC$ circuit shown, the resistance is $R = 10.0\ W$, the capacitance is $C = 5.0\ F$ and the battery has voltage $\xi= 12$ volts . The capacitor is initially uncharged when the switch $S$ is closed at time $t = 0$. At some time later, the current in the circuit is $0.50\ A$. What is the magnitude of the charge across the capacitor at that moment?.......$µC$

The $r.m.s.$ value of an ac of $50\,Hz$ is $10\,amp$ . The time taken by the alternating current in reaching from zero to maximum value and the peak value of current will be

The variation of $EMF$ with time for four types of generators are shown in the figures. Which amongst them can be called $AC$ ?

The phase difference between the voltage and the current in an ac circuit is $\pi /4$. If the frequency is $50\, Hz$ then this phase difference will be equivalent to a time of

What are $DC$ signals and $AC$ signals ? Why do we preferred an $AC$ signal ?