The first column of a Routh array is1s*2s31.5-1/310How many roots of the corresponding characteristic equation are in left half s-plane?$51 1s4 1 253 11.552 | -1/3s1 | 10s° 1 2O 5O 2O 4O 3 For the system with given characteristic equation s+ 4s4 + 853 + 8s? + 75 + 6 = 0. The number of roots on left hand side, right hand side and imaginary axis are respectively.O 1,4.0O 2. 3.0O 4, 1.0O 3,2.0

The number of sign changes determines the number of roots in the right half of s plane.

Answered: The first column of a Routh array is 1…

The first column of a Routh array is 1 1.5 -1/3 10 so How many roots of the corresponding characteristic equation are in left half s-plane? $5 1 1 54 1 2 s3 11.5 s2 1 -1/3 s'I 10 s° 1 2 O 5 O 2 0 4

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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Question

The first column of a Routh array is
1
s*
2
s3
1.5
-1/3
10
How many roots of the corresponding characteristic equation are in left half s-plane?
$51 1
s4 1 2
53 11.5
52 | -1/3
s1 | 10
s° 1 2
O 5
O 2
O 4
O 3

For the system with given characteristic equation s+ 4s4 + 853 + 8s? + 75 + 6 = 0. The number of roots on left hand side, right hand side and imaginary axis are respectively.
O 1,4.0
O 2. 3.0
O 4, 1.0
O 3,2.0

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