The current in the inductor  the voltage in a series RLC circuit above the resonant frequency.

What does meant by half powerpoint frequencies.

Obtain an expression for bandwidth in a LCR series circuit.

Show half power point frequency in curve between alternating current and frequency.

When an alternating emf $e=310 \sin \left(100\pi t\right)V$ is applied to a series $LCR$ circuit, the current flowing through it is $i=5 \sin \left(100\pi t+\pi /3\right) \mathrm{A}$. What is the phase difference between the current and the emf?

Draw a labelled graph showing the variation of impedance $\left(Z\right)$ of a series LCR circuit versus frequency $\left(f\right)$ of an ac supply.

Obtain an expression for the resonant frequency $\left(f_o\right)$ of a series LCR circuit.

A series $\mathrm{L}\mathrm{C}\mathrm{R}$-circuit is connected to an ac source $(200\mathrm{}\mathrm{V},\mathrm{}50\mathrm{}\mathrm{H}\mathrm{z}).$ The voltages across the resistor, capacitor and inductor are respectively $200\mathrm{}\mathrm{V},\mathrm{}250\mathrm{}\mathrm{V}$ and $250\mathrm{}\mathrm{V}$.

(i) The algebraic sum of the voltages across the three elements is greater than the voltage of the source. How is this paradox resolved?

(ii) Given the value of the resistance $R$ is $40\mathrm{\Omega },$calculate the current in the circuit.

In the circuit shown, resistance $R=100\mathrm{ \Omega },$ inductance $L=\frac{2}{\mathrm{\pi }}\mathrm{ H}$ and capacitance $C=\frac{8}{\mathrm{\pi }}\mathrm{ \mu }\mathrm{F}$ are connected in series with an AC source of $200\mathrm{ v}\mathrm{o}\mathrm{l}\mathrm{t}$ and frequency $f$. If the readings of the hot wire voltmeters $V_1$ and $V_2$ are same, then,