An $AC$ circuit contains a resistance of $1 \text{ k}\Omega$, a capacitor of $0.1 \mu\text{F}$, and an inductor of $1 \text{ mH}$ connected in series. The resonance frequency of the circuit is approximately: (in $kHz$)

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:

In an $LCR$ oscillatory circuit,find the energy stored in the inductor at resonance. If the voltage of the source is $10 \, V$,the resistance is $10 \, \Omega$,and the inductance is $1 \, H$. (in $J$)

What is the sharpness of resonance and obtain an equation for the $Q$ factor?

In a series $LCR$ circuit, $C = 2 \text{ } \mu\text{F}$, $L = 1 \text{ mH}$, and $R = 10 \text{ } \Omega$. What is the ratio of energies stored in the capacitor and inductor when maximum current flows through the circuit (in $: 1$)?

For a given series $LCR$ circuit,it is found that maximum current is drawn when the value of the variable capacitance is $2.5 \ nF$. If a resistance of $200 \ \Omega$ and a $100 \ mH$ inductor are being used in the given circuit,the frequency of the $AC$ source is $... \times 10^3 \ Hz$. (Given $\pi^2 = 10$)