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What is the Q factor for a 3-μH inductor with a total resistance of 45Ω at 90 MHz?

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What is the Q factor for a 3-μH inductor with a total resistance of 45Ω at 90 MHz?

(a) 37.68

(b) 37.68Ω

(c) 29.22Ω

(d) 32.75Ω

This question was addressed to me in exam.

I want to ask this question from Tuned Circuits in division Fundamentals of Electronics of Avionics

1 Answer

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Right choice is (a) 37.68

The best I can explain: Quality factor = Q = 2πfL/R = (2 x 3.14 x 90 x 10^6 x 3 x 10^-6)/45 = 1695.6 / 45 = 37.68.

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