As shown in the figure,an inductor of inductance $L = 200 \, mH$ is connected to an $AC$ source of emf $220 \, V$ and frequency $f = 50 \, Hz$. The peak value of current is given by $\frac{\sqrt{a}}{\pi} \, A$. The value of $a$ is..........

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

$L$, $C$ and $R$ are connected in series to an $A.C.$ source. Which one of the following is true? Phase relation between current and voltage is such that

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 $mA$.

As per the given graph,choose the correct representation for curve $A$ and curve $B$. Where $X_{C} =$ reactance of a pure capacitive circuit connected to an $A.C.$ source,$X_{L} =$ reactance of a pure inductive circuit connected to an $A.C.$ source,$R =$ resistance of a pure resistive circuit connected to an $A.C.$ source,and $Z =$ impedance of the $LCR$ series circuit.

$A$ $100 \mu F$ capacitor is connected to a $100 \text{ V}$, $50 \text{ Hz}$ $AC$ supply. The rms value of the current is (in $\text{ A}$)