Question

What is meant by a resonant circuit? Write down the required conditions for the L-C-R series resonant circuit and expression for the frequency in the state of resonance.

Hint:

At resonance, impedance is minimum and current is maximum in an L-C-R circuit.

Answer 1

A resonant circuit is an electrical circuit in which resonance occurs at a particular frequency. 

Resonance Condition: \[ \omega L = \frac{1}{\omega C} \] 

Resonant Frequency: \[ f = \frac{1}{2\pi \sqrt{LC}} \] \[ \boxed{f = \frac{1}{2\pi \sqrt{LC}}} \]