The reactance of a capacitor of capacitance $C \mu F$ for an $ac$ frequency of $\frac{400}{\pi} \ Hz$ is $25 \ \Omega$. The value of $C$ is ..... $\mu F$.

The reactance of a capacitor is $X_{C}$. If the frequency and the capacitance are doubled,then the new reactance will be

The reactance of an inductor at $50 \, Hz$ is $10 \, \Omega$. The reactance of it at $200 \, Hz$ is

The resistance offered by the inductor $(X_L)$ in an ac circuit is

An alternating voltage given as $V = 100 \sqrt{2} \sin(100t) \text{ V}$ is applied to a capacitor of $1 \mu\text{F}$. The current reading of the ammeter will be equal to . . . . . . $\text{mA}$.

$A$ small signal voltage $V(t) = V_0 \sin(\omega t)$ is applied across an ideal capacitor $C$. Which of the following statements is correct?