The reactance of a capacitor at $50 \ Hz$ is $5 \ \Omega$. If the frequency is increased to $100 \ Hz$,the new reactance is (in $\Omega$)

$A$ 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 $\qquad$

What is the phase difference between $V$ and $I$ in a circuit containing only a resistor?

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 $...... \text{ mA}$.

$A$ coil has inductance $L$. The ratio of its reactance when it is connected first to an $A.C.$ source and then to a $D.C.$ source is

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