Question

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 kHz

The 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 1

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.