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) \(\frac{\sqrt{3}}{4}\)I have been asked this question in final exam.This interesting question is from Advanced Problems on Filters topic in division Filters and Attenuators of Network Theory

A particular band-pass function has a network function as H(s) = \(\fr

1.	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) \(\frac{\sqrt{3}}{4}\)I have been asked this question in final exam.This interesting question is from Advanced Problems on Filters topic in division Filters and Attenuators of Network Theory
Answer» RIGHT CHOICE is (d) \(\frac{\sqrt{3}}{4}\) To ELABORATE: H(s) = \(\frac{Ks}{s^2+as+b}\) Then, quality factor is given as \(\frac{\sqrt{b}}{a}\) Here, b = 3, a = 4 ∴ Q = \(\frac{\sqrt{3}}{4}\).

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