Question

Obtain the resonant frequency `(omega_(r))` of a series LCR circuit withL = 2.0 H, C = 32 `muF` and R = 10 ohm. What is the Q value of this circuit ?

Answer 1

Inductive, L=2.0H
Capacitance, C=`32muF=32xx10^(-6)F`
Resistance, R=`10Omega`
Resonant frequency is given by the relation,
`omega_(r)=(1)/sqrt(LC)`
`=(1)/(10)sqrt((2)/(32xx10^(-6)))=(1)/(10)xx(1)/(4xx10^(-3))=25 ` ltbr gt Hence, the Q-value of this circuit is 25.