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 ........ $\Omega$.

In a series $RLC$ circuit,the $r.m.s.$ voltages across the resistor and the inductor are respectively $400 \,V$ and $700 \,V$. If the equation for the applied voltage is $\varepsilon = 500 \sqrt{2} \sin \omega t$,then the peak voltage across the capacitor is ........... $V$.

In a series $LCR$ circuit, $R = 10 \ \Omega$ and the impedance $Z = 30 \ \Omega$. An $r.m.s.$ voltage of $210 \text{ V}$ is applied across the circuit. The true power consumed in the $AC$ circuit is: (in $\text{ W}$)

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.....$A$.

What is the impedance of an $L-C-R$ series $AC$ circuit?

In a series resonant circuit,the $ac$ voltage across resistance $R$,inductance $L$,and capacitance $C$ are $5\, V$,$10\, V$,and $10\, V$ respectively. The $ac$ voltage applied to the circuit will be.....$V$.