1.

Obtain the resonant frequency `omega_(r )` of a series LCR circuit with `L = 2.0H. C = 32 mu F` and `R = 10 Omega`. What is the Q-value of this circuit ?

Answer» Given, `L = 2H, C = 32muF, R = 10 Omega`
Resonant angular frequency
`omega_(r )=(1)/(sqrt(LC))=(1)/(sqrt(2xx32xx10^(-6)))=125` rad/s
Q-factor of this circuit,
`Q = (1)/(R )sqrt((L)/(C ))=(1)/(10)sqrt((2)/(32xx10^(-5)))=(10^(3))/(40)=25`.


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