1. The Q value 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 curve will be and the sharper the tuning. (a) Show that the Q factor is given by Q = (1/R)√L/C (b) At a resonant frequency fo = 1.0 MHz, what must be the value of L and R to produce a Q factor of 350? Assume C=0.010 μF

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1. The Q value 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 curve will be and the sharper the tuning.
(a) Show that the Q factor is given by Q = (1/R)√L/C
(b) At a resonant frequency fo = 1.0 MHz, what must be the value of L and R to produce
a Q factor of 350? Assume C=0.010 μF
Transcribed Image Text:1. The Q value 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 curve will be and the sharper the tuning. (a) Show that the Q factor is given by Q = (1/R)√L/C (b) At a resonant frequency fo = 1.0 MHz, what must be the value of L and R to produce a Q factor of 350? Assume C=0.010 μF
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