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Obtain the resonant frequency omega(r) o...

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

Text Solution

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`omega = (1)/(sqrt(LC))`
`omega = (1)/(sqrt(2 xx 32 xx 10^(-6))`
`omega = (1)/(8 xx 10^(-3))`
`omega = 125 Hz`
`Q = (1)/(R ) sqrt((L)/(C )`
Substitution `= (omega L)/(R ) = (1)/(omega RC)`
Calculation of Q = 25
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