For the series resonant circuit given below, the value of the total current flowing through the circuit is ____________(a) 7.521 mA(b) 6.327 mA(c) 2.168 mA(d) 9.136 mAThis question was addressed to me during an interview for a job.This question is from Problems of Parallel Resonance Involving Quality Factor in division Resonance & Magnetically Coupled Circuit of Network Theory

For the series resonant circuit given below, the value of the total cu

1.	For the series resonant circuit given below, the value of the total current flowing through the circuit is ____________(a) 7.521 mA(b) 6.327 mA(c) 2.168 mA(d) 9.136 mAThis question was addressed to me during an interview for a job.This question is from Problems of Parallel Resonance Involving Quality Factor in division Resonance & Magnetically Coupled Circuit of Network Theory
Answer» Right OPTION is (a) 7.521 mA Easy 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 Capacitive Reactance, XC = \(\frac{1}{2πfC} = \frac{1}{(6.28)(73.142×10^3)(0.001×10^{-6})}\) = \(\frac{1}{4.613×10^{-4}}\) = 2.168 kΩ ZEQ = R = 47 Ω IT = \(\frac{V_{in}}{Z_{EQ}}= \frac{V_{in}}{R} = \frac{0.3535}{47}\) = 7.521 mA.

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