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 ?

Explanation

`" Here, "L=2.0H`
`C=32 muF-32xx10^(-6)F`
`R=10 Omega`
`therefore" Resonant frequency is given by, "`
`wr=(1)/(sqrt(LC))=(1)/(sqrt(2.0xx32xx10^(-6)))=(1)/(64xx10^(-6))rArr(1)/(8xx10^(-3))=(10^(3))/(8)=(1000)/(8)=125 Hz.`
`therefore" Quality factor is q-value "(w_(r).L)/(R)=(125xx2.0)/(10)=25.`