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Question

Calculate the resonant frequency and Q-factor (Quality factor) of a series L-C-R circuit containing a pure inductor of inductance 4 H, capacitor of capacitance 27μF and resistor of resistance 84Ω

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Solution

Resonant frequency wo=1LC
wo=14×27×106
wo=96.22Hz
Quality factor Q=LwoR
Q=4×96.228.4
Q=45.82

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