An inductance of $1 \ H$ is connected in series with an $AC$ source of $220 \ V$ and $50 \ Hz$. The inductive reactance (in ohm) is: (in $\pi$)

$A$ constant voltage at different frequencies is applied across a capacitance $C$ as shown in the figure. Which of the following graphs correctly depicts the variation of current with frequency?

$A$ $42 \, mH$ inductor is connected to a $200 \, V, 50 \, Hz$ a.c. supply. The r.m.s. value of current in the circuit will be nearly (Take $\pi = \frac{22}{7}$) (in $ \, A$)

In a choke coil,the reactance $X_L$ and resistance $R$ are such that

$A$ 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 $\qquad$

An alternating e.m.f. is applied to a purely capacitive circuit. What is the phase relation between the e.m.f. and the current flowing in the circuit?