$AC$ alternating emf $\mathrm{E}=110 \sqrt{2} \sin 100 \mathrm{t}$ volt is applied to a capacitor of $2 \mu \mathrm{F}$, the rms value of current in the circuit is.. . . . . .$\mathrm{mA}$.

Obtain the formula of current for $AC$ voltage applied to a capacitor and draw the graphs of $V$ versus $I$. 

An $ac$ source of angular frequency $\omega$ is fed across a resistor r and a capacitor $C$ in series. The current registered is $I$. If now the frequency of source is changed to $\omega$ $/3$ (but maintaining the same voltage), the current in then circuit is found to be halved. Calculate the ratio of reactance to resistance at the original frequency $\omega$

An inductive circuit contains a resistance of $10 \,ohm$ and an inductance of $2.0\, henry$. If an ac voltage of $120 \,volt$ and frequency of $60\, Hz$ is applied to this circuit, the current in the circuit would be nearly……$amp$

In a simple $L-R$ circuit with $A.C$. source the potential difference at any instant across inductor and resistance are $V_L$ and $V_R$ respectively and $A.C.$ souree has potential difference $V_{Ac}$ at the same instant. Then