An alternating voltage of $22 \, V$ is applied across an inductance coil of reactance $11 \, \Omega$. If the inductance of the coil is $0.07 \, H$, the frequency of the alternating voltage is: (in $ \, Hz$)

An $AC$ alternating $emf$ $E = 110 \sqrt{2} \sin(100t) \text{ V}$ is applied to a capacitor of $2 \mu F$. The $rms$ value of current in the circuit is $...... \text{ mA}$.

Obtain the formula for current when an $AC$ voltage is applied to a capacitor and draw the graphs of $V$ and $I$ versus $\omega t$.

$A$ $15.0 \; \mu F$ capacitor is connected to a $220 \; V, 50 \; Hz$ source. Find the capacitive reactance and the current ($rms$ and peak) in the circuit. If the frequency is doubled,what happens to the capacitive reactance and the current?

$A$ $100 \; \Omega$ resistor is connected to a $220 \; V, 50 \; Hz$ $ac$ supply.
$(a)$ What is the $rms$ value of current in the circuit?
$(b)$ What is the net power consumed over a full cycle?

$A$ pure inductor of $50.0 \ mH$ is connected to a source of $220 \ V$. The frequency of the source is $50 \ Hz$. The rms current in the circuit (in $A$) will be $......$.