The inductive reactance of an inductor of $\frac{1}{\pi } \, H$ at $50 \, Hz$ frequency is.....$\Omega$.

An alternating voltage $E = 200\sqrt{2} \sin(100t)$ is connected to a $1 \mu F$ capacitor through an $AC$ ammeter. The reading of the ammeter shall be $mA$.

Consider a pure inductive $A$.$C$. circuit as shown in the figure. If the average power consumed is $P$, then

An inductor of inductance $2 \, mH$ is connected to a $220 \, V, 50 \, Hz$ $AC$ source. Let the inductive reactance in the circuit be $X_1$. If a $220 \, V$ $DC$ source replaces the $AC$ source in the circuit,then the inductive reactance in the circuit is $X_2$. $X_1$ and $X_2$ respectively are:

$A$ series $LCR$ circuit is subjected to an $AC$ signal of $200 \,V, 50 \,Hz$. If the voltage across the inductor $(L=10 \,mH)$ is $31.4 \,V$,then the current in this circuit is $\qquad$

Which of the following curves correctly represents the variation of capacitive reactance $X_C$ with frequency $f$?