In the series $LCR$ circuit, the impedance is: (in $\Omega$)

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

An alternating voltage of frequency $\omega$ is induced in an electric circuit consisting of an inductance $L$ and capacitance $C$,connected in parallel. Then across the inductance coil:

In the $LCR$ circuit shown in the figure,what will be the readings of the voltmeter across the resistor $(V_R)$ and the ammeter $(A)$ if an a.c. source of $220 \ V$ and $100 \ Hz$ is connected to it?

$A$ $220 \; V, 50 \; Hz$ $AC$ source is connected to a $25 \; V, 5 \; W$ lamp and an additional resistance $R$ in series (as shown in the figure) to run the lamp at its rated power. The value of $R$ (in $\Omega$) will be:

In an $LCR$ series circuit,if $R = X_L = 2X_C$,find the impedance and the phase difference between the current and the voltage.