In a series $R-L-C$ circuit,$R = 300 \, \Omega$,$L = 0.9 \, H$,$C = 2.0 \, \mu F$,and $\omega = 1000 \, rad/s$. The impedance of the circuit is ........ $\Omega$.

Consider the $L-C-R$ circuit given below. The circuit is driven by a $50 \,Hz, AC$ source with peak voltage $220 \,V$. If $R=400 \,\Omega, C=200 \,\mu F$ and $L=6 \,H$,the maximum current in the circuit is closest to ............ $A$.

Given below are the two circuits, choose the correct option.

The angular frequency of alternating current in an $L-C-R$ circuit is $100 \, rad/s$. The components connected are shown in the figure. Find the value of the inductance of the coil and the capacity of the condenser.

In a series $LCR$ circuit,if the current leads the source voltage,then

In an $L-C-R$ circuit,the capacitance is changed from $C$ to $4 C$. For the same resonant frequency,the inductance should be changed from $L$ to