1.

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

Answer»

SOLUTION :The phenomenon of IMPEDANCE of the series LCRcircuit becomingminimumand current in the circuit becomingmaximumat a PARTICULAR frequencyof the appliedalternatingvoltage 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 frequencyof the appliedalternatingvoltage when the series LCR circuit is at resonance ,
`W_0=2pigamma_0`
`2pi gamma_0 =1/sqrt(LC)`
`gamma_0=1/(2pisqrt(LC))`


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