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

Calculate the resonant frequency and Q-factor of a series L-C-R circui

1.	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
Answer» Solution :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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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

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