1.

For the series resonant circuit shown below, the value of the resonant frequency is _________(a) 36.84 kHz(b) 40.19 kHz(c) 25.28 kHz(d) 15.9 kHzThe question was posed to me in an international level competition.This intriguing question comes from Problems of Series Resonance Involving Quality Factor in portion Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

Correct choice is (d) 15.9 KHZ

Best explanation: RESONANT Frequency, FR = \(\frac{1}{2π\sqrt{LC}} \)

= \(\frac{1}{6.28\sqrt{(5 × 10^{-3})(0.02 × 10^{-6})}}\)

= \(\frac{1}{6.28\sqrt{10^{-10}}}\)

= \(\frac{1}{6.28 × 10^{-5}}\) = 15.9 kHz.



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