Question

A particular band-pass function has a network function as H(s) = \(\frac{3s}{s^2+4s+3}\) then, its quality factor Q is ___________

(a) \(\frac{3}{4}\)

(b) \(\frac{2}{\sqrt{3}}\)

(c) \(\frac{\sqrt{3}}{2}\)

(d) \(\frac{\sqrt{3}}{4}\)

This question was posed to me during an internship interview.

The doubt is from Ideal LPF, HPF, BPF and BSF Characteristics in division Signal Transmission Through Linear Systems of Signals and Systems

Answer 1

The correct answer is (d) \(\frac{\sqrt{3}}{4}\)

For explanation: H(s) = \(\frac{Ks}{s^2+as+b}\)

Then, quality factor is given as \(\frac{\sqrt{b}}{a}\)

Here, b = 3, a = 4

∴ Q = \(\frac{\sqrt{3}}{4}\).