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Determine the resonance frequency omega(...

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

Text Solution

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L = 2.0 H, C = `32 muF = 32 xx 10^(-6)F, R = 10Omega`
Resonance frequency,
`omega_(r) = (1)/(sqrt(LC)) = (1)/(sqrt(2 xx 32 xx 10^(-6))) = (1000)/(8) = 125 Hz`
`Q = (1)/(R)sqrt((L)/(C)) = (1)/(10) sqrt((2)/(32xx 10^(-6))) = (1)/(10) xx (1000)/(4) = 25`
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