In a series $LCR$ circuit,the inductance,capacitance,and resistance are $L = 100 \, mH$,$C = 100 \, \mu F$,and $R = 10 \, \Omega$ respectively. They are connected to an $AC$ source of voltage $220 \, V$ and frequency $50 \, Hz$. The approximate value of current in the circuit will be.....$A$.

Obtain the relation for the voltage applied to a series $LCR$ circuit.

An $LCR$ circuit contains resistance of $110 \, \Omega$ and a supply of $220 \, V$ at $300 \, rad/s$ angular frequency. If only capacitance is removed from the circuit,current lags behind the voltage by $45^{\circ}$. If on the other hand,only inductor is removed,the current leads by $45^{\circ}$ with the applied voltage. The rms current flowing in the circuit will be ...... $A$.

In a given series $LCR$ circuit,$R = 4\,\Omega ,$ $X_L = 5\,\Omega $ and $X_C = 8\, \Omega ,$ the current:

In an $LCR$ series circuit,if the angular frequency $\omega$ is gradually increased,then match the following columns:

Column-$I$	Column-$II$
$(A)$ Capacitive reactance	$(i)$ Will continuously increase
$(B)$ Inductive reactance	(ii) Will remain constant
$(C)$ Resistance	(iii) Will first decrease and then increase
$(D)$ Total impedance	(iv) Will continuously decrease

An $L-C-R$ series circuit is connected to an $AC$ source of peak voltage $240 \ V$. The phase difference between voltage and current of this circuit is $45^{\circ}$ and the resistance is $100 \ \Omega$. The $rms$ value of current through the circuit is . . . . . . . (in $A$)