For the series resonant circuit given below, the value of the quality factor is ___________(a) 35.156(b) 56.118(c) 50.294(d) 46.128This question was addressed to me in final exam.The above asked question is from Problems of Parallel Resonance Involving Quality Factor in portion Resonance & Magnetically Coupled Circuit of Network Theory

For the series resonant circuit given below, the value of the quality

1.	For the series resonant circuit given below, the value of the quality factor is ___________(a) 35.156(b) 56.118(c) 50.294(d) 46.128This question was addressed to me in final exam.The above asked question is from Problems of Parallel Resonance Involving Quality Factor in portion Resonance & Magnetically Coupled Circuit of Network Theory
Answer» Right choice is (d) 46.128 For explanation: Resonant Frequency, \(\FRAC{1}{2π\sqrt{LC}} \) = \(\frac{1}{6.28\sqrt{(4.7×10^{-3})(0.001×10^{-6})}}\) = \(\frac{1}{6.28\sqrt{4.7×10^{-12}}}\) = \(\frac{1}{1.362×10^{-5}}\) = 73.412 kHz Inductive Reactance, XL = 2πfL = (6.28) (73.142 × 10^3)(4.7 × 10^-6) = 2.168 kΩ Quality factor Q = \(\frac{X_L}{R} = \frac{2.168 kΩ}{47}\) = 46.128.

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