The Q factor of a resonant ac circuit (Section 21-15) 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 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 f0 = 1.0 MHz, what must be the values of L and R to produce a Q factor of 650? Assume that C = 0.010 mF.