1.

A 440 V, 50 HZ AC source supplies a series LCR circuit with a capacitor and a coil. If the coil has 100 mΩ resistance and 15 mH inductance, then at a resonance frequency of 50 Hz, the Q factor of the circuit is?(a) 82.63(b) 47.115(c) 27.38(d) 92.38This question was addressed to me by my college professor while I was bunking the class.Question is from Problems of Series Resonance Involving Frequency Response of Series Resonant Circuit topic in division Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

The correct ANSWER is (b) 47.115

The best explanation: We KNOW that, Q = \(\frac{ωL}{R}\)

Or, Q = \(\frac{2π×50×15×10^{-3}}{100×10^{-3}}\) = 47.115.



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