$L$,$C$,and $R$ represent the physical quantities inductance,capacitance,and resistance,respectively. The combination representing the dimension of frequency is:

In a series $LCR$ resonant circuit, $R = 800 \text{ } \Omega$, $C = 2 \text{ } \mu\text{F}$ and the voltage across the resistance is $200 \text{ V}$. The angular frequency is $\omega = 250 \text{ rad/s}$. At resonance, what is the voltage across the capacitance (in $\text{ V}$)?

$A$ $10 \Omega$ resistance,$5 \ mH$ coil,and $10 \ \mu F$ capacitor are joined in series. When an alternating current source of suitable frequency is joined to this combination,the circuit resonates. If the resistance is halved,the resonant frequency is

$A$ series $LCR$ circuit is connected to an ac source of $220\,V, 50\,Hz$. The circuit contains a resistance $R=100\,\Omega$ and an inductor of inductive reactance $X_L=79.6\,\Omega$. The capacitance of the capacitor needed to maximize the average rate at which energy is supplied will be $..........\mu F$.

In the given circuit,the readings of voltmeters $V_1$ and $V_2$ are $300 \, V$ each. The readings of voltmeter $V_3$ and ammeter $A$ are respectively:

For an $RLC$ circuit driven with voltage of amplitude $v_m$ and frequency $\omega_0 = \frac{1}{\sqrt{LC}}$,the current exhibits resonance. The quality factor,$Q$,is given by: