What is resonance in series LCR circuit? Derive the expression for resonant angular frequency.

Explanation

The phenomenon of impedance of the series LCR circuit becoming minimum and current in the circuit becoming maximum at a particular frequency of the applied alternating voltage is called electrical resonance .
At resonance ,
`X_C=X_L` or `1/(W_0C)=W_0L`
`rArr W_0^2=1/(LC)` or `W_0=1/sqrt(LC)`
If `gamma_0` is the frequency of the applied alternating voltage when the series LCR circuit is at resonance ,
`W_0=2pigamma_0`
`2pi gamma_0 =1/sqrt(LC)`
`gamma_0=1/(2pisqrt(LC))`