1.

For the series resonant circuit shown below, the value of the resonant frequency is _________(a) 10.262 kHz(b) 44.631 kHz(c) 50.288 kHz(d) 73.412 kHzI had been asked this question in my homework.My doubt stems from Problems of Parallel Resonance Involving Quality Factor in portion Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

The correct option is (d) 73.412 kHz

Easiest explanation: Resonant FREQUENCY, FR = \(\frac{1}{2π\sqrt{LC}} \)

= \(\frac{1}{6.28\sqrt{(4.7×10^{-3})(0.001×10^{-6})}}\)

= \(\frac{1}{6.28\sqrt{4.7×10^{-12}}}\)

= \(\frac{1}{1.362×10^{-5}}\) = 73.412 kHz.



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