Question

For the parallel resonant circuit shown below, the value of the resonant frequency is _________

(a) 1.25 MHz

(b) 2.5 MHz

(c) 5 MHz

(d) 1.5 MHz

This question was addressed to me by my school principal while I was bunking the class.

This interesting question is from Problems of Parallel Resonance Involving Quality Factor in chapter Resonance & Magnetically Coupled Circuit of Network Theory

Answer 1

Right choice is (a) 1.25 MHz

The best explanation: Resonant Frequency, FR = \(\frac{1}{2π\sqrt{LC}} \)

= \(\frac{1}{6.28\sqrt{(100×10^{-6})(162.11×10^{-12})}}\)

= \(\frac{1}{6.28\sqrt{1.621×10^{-14}}}\)

= \(\frac{1}{799×10^{-9}}\) = 1.25 MHz.