Exercise

What do you mean by resonant circuit. Give the required condition for series $L-C-R$ resonant circuit derive the expression for its resonance frequency. Where this circuit is used?

A circuit containing a $80 \mathrm{mH}$ inductor and a $\text{60 μF}$ capacitor, in series is connected to a $230 \mathrm{V}, 50 \mathrm{Hz}$. The resistance of the circuit is negligible. What is the average power transferred to the capacitor? 

A circuit containing a $80 \mathrm{mH}$ inductor and a $60 \mathrm{\mu F}$ capacitor in series is connected to a $230 \mathrm{V}, 50 \mathrm{Hz}$ supply. The resistance of the circuit is negligible.

What is the total average power absorbed by the circuit? [‘Average’ implies ‘averaged over one cycle’.]

There are two circuits, one with pure inductive load and the other with pure capacitive load. What is the net power absorbed by each circuit over a complete cycle. Explain your answer.

What will be impedance in series $L-C-R$ resonant circuit at resonance?

What is the unit of $\sqrt{\mathrm{LC}}$?

In series L-C-R resonant circuit, capacitor is changed to $4$ times. What will be new inductance for the same resonance frequency?

What is bandwidth? Write its expression for $\mathrm{L}-\mathrm{C}-\mathrm{R}$ series circuit.