1.

For the circuit given below, what is the value of the Q factor for the inductor?(a) 4.74(b) 4.472(c) 4.358(d) 4.853I had been asked this question in an international level competition.The origin of the question is Problems Involving Dot Conventions in section Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

Right choice is (C) 4.358

Easiest EXPLANATION: QIN = \(\sqrt{\frac{L}{CR^2} – 1}\)

= \(\sqrt{\frac{1}{2 × 5^2× 10^{-3} – 1}}\)

= \(\sqrt{\frac{1}{50 × 10^{-3} – 1}}\)

= \(\sqrt{19}\) = 4.358.



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