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

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 ?

Text Solution

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Herem `L = 2.0 H, C = 32 mu F 32 xx 10^(-6) F` and `R = 10 ohm, omega_(r) = ?, Q = ?`
`omega_(r) (1)/(sqrt(LC)) = (1)/(sqrt(2.0 xx 32 xx 10^(-6))) = (10^(3))/(2) = 125 rad//s`
`Q = (1)/(R ) sqrt((L)/(C )) = (1)/(10) sqrt((2.0)/(32 xx 10^(-6))) = (10^(3))/(40) = 25`
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