10410How many roots of the corresponding polynomial are in the Right Half s-Plane?(a) 0(b) 1(c) 2(d) 3

Answered: 0 10 How many roots of the…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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How many roots of the corresponding polynomial are in the Right Half s-Plane?
(a) 0
(b) 1
(c) 2
(d) 3

Expert Solution

Step 1

Fundamentals

Routh Hurwitz Creterian :

Let polynomial $a_{o} s^{n} + a_{1} s^{n - 1} + a_{2} s^{n - 2} + - - - + a_{n - 1} s + a_{n} = 0$ when $a_{o} > 0,$ then the table can be formed as,

$S^{n}$	$a_{0} a_{2} a_{4} . . . . . . . . . .$
$S^{n - 1}$	$a_{1} a_{3} a_{5} . . . . . . . . . .$
$S^{n - 2}$	$b_{0} b_{1} b_{2} . . . . . . . . . .$
$S^{n - 3}$	$c_{0} c_{1} c_{2} . . . . . . . . . .$
. . .
$S^{1}$	$g_{o}$
$S^{0}$	$h_{o}$

No. of roots on RHP = No. of sign changes in first column

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