If the current through an inductor of inductance $L$ is given by $I = I_0 \sin(\omega t)$,then the voltage across the inductor will be

$A$ choke coil is used to control:

In a circuit,the current lags behind the voltage by a phase difference of $\pi / 2$. The circuit will contain which of the following?

Determine the frequency for which a $10$ $\mu$$F$ capacitor has a reactance of $2 \times 10^{-3} \Omega$.

$A$ device $'X'$ is connected to an a.c. source. The variation of voltage,current,and power in one complete cycle is shown in the figure.
$(a)$ Which curve shows power consumption over a full cycle?
$(b)$ What is the average power consumption over a cycle?
$(c)$ Identify the device $'X'$.

If we decrease the frequency of the applied $A.C.$ with a purely capacitive load,do $(1)$ the amplitude of $V_c$ and $(2)$ amplitude of $I_c$ increase,decrease,or remain the same?