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Calculate the resonant frequency and Q-f...

Calculate the resonant frequency and Q-factor of a series L-C-R circuit containing a pure inductor of inductance 3H, capacitor of capacitance `27muF` and resistor of resistance `7.4Omega`

Text Solution

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Here , L = 3H , `C = 27muF, = 7.4 Omega , Q = ? , f_(r) = ? `
`f_(r)=1/(2pisqrt(LC))=1/(2xx3.14 sqrt(3xx27xx10^(-6)))`
`f_(r) = 0.01768xx10^(3)Hz`
or `f_(r) = 17.68 Hz`
Quality factor is given by
`Q = 1/Rsqrt(L/C)`
`=1/(7.4) sqrt(3/(27xx10^(-6))`
`= 0.0450 xx10^(3)`
Q = 45
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