Question

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 kHz

I 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 1

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.