Question

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) 92.38

This 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 1

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.