(Solution) - The Q factor of a resonance circuit can be defined -(2025 Original AI-Free Solution)

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The Q factor of a resonance circuit can be defined as the ratio of the voltage across the capacitor (or inductor) to the voltage across the resistor, at resonance. The larger the Q factor, the sharper the resonance. The larger the Q factor, the sharper the resonance curve will be and the sharper the tuning.
(a) Show that the Q factor is given by the equation Q = (1/R) ?L/C.
(b) At a resonant frequency fo = 1.0 MHz, what must be the values of L and R to produce a Q factor of 550? Assume that C = 0.010?F.