The characteristic equation for a generic homogeneous second order ODE, can be given in the following form: ap²+bp+c=0 Match each root locus plot (A - F) to the correct set of coefficients (a,b,c) of the polynomial. Root Locus 10 8 6 Root Locus 10 8 6 Root Locus 10 8 6 {<> -8 -10 -10 -10 -10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10 Real 10 8 6 2 0 Root Locus 10 8 6 4 2 Real Root Locus 10 8 6 Real Root Locus €Ð+ -8 -10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10 Real Real Real Polynomials a=x,b=0.5,c=3, x= [0,2] a = 1,b=7.2*x, c = 12.96, x = [0, 1.1] a=0.1,b=0.5,c=x, x= [0,3] a = 1,b=1.4*x,c = x², x = [0, 10] a=x,b=1,c=3, x= [0,0.5] a=1,b=13.2*x,c=43.56, x = [0,1.1] Root Locus
The characteristic equation for a generic homogeneous second order ODE, can be given in the following form: ap²+bp+c=0 Match each root locus plot (A - F) to the correct set of coefficients (a,b,c) of the polynomial. Root Locus 10 8 6 Root Locus 10 8 6 Root Locus 10 8 6 {<> -8 -10 -10 -10 -10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10 Real 10 8 6 2 0 Root Locus 10 8 6 4 2 Real Root Locus 10 8 6 Real Root Locus €Ð+ -8 -10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10 Real Real Real Polynomials a=x,b=0.5,c=3, x= [0,2] a = 1,b=7.2*x, c = 12.96, x = [0, 1.1] a=0.1,b=0.5,c=x, x= [0,3] a = 1,b=1.4*x,c = x², x = [0, 10] a=x,b=1,c=3, x= [0,0.5] a=1,b=13.2*x,c=43.56, x = [0,1.1] Root Locus
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![The characteristic equation for a generic homogeneous second order ODE, can be given in the following
form:
ap²+bp+c=0
Match each root locus plot (A - F) to the correct set of coefficients (a,b,c) of the polynomial.
Root Locus
10
8
6
Root Locus
10
8
6
Root Locus
10
8
6
{<>
-8
-10
-10
-10
-10
-5
0
5
10
-10
-5
0
5
10
-10
-5
0
5
10
Real
10
8
6
2
0
Root Locus
10
8
6
4
2
Real
Root Locus
10
8
6
Real
Root Locus
€Ð+
-8
-10
-5
0
5
10
-10
-5
0
5
10
-10
-5
0
5
10
Real
Real
Real
Polynomials
a=x,b=0.5,c=3, x= [0,2]
a = 1,b=7.2*x, c = 12.96, x = [0, 1.1]
a=0.1,b=0.5,c=x, x= [0,3]
a = 1,b=1.4*x,c = x², x = [0, 10]
a=x,b=1,c=3, x= [0,0.5]
a=1,b=13.2*x,c=43.56, x = [0,1.1]
Root Locus](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd30ea730-ba6b-4d49-90df-80ffc6e77ea4%2F199add1a-06a2-4c1b-b35a-6a4e29df7f2c%2F84z2t9t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The characteristic equation for a generic homogeneous second order ODE, can be given in the following
form:
ap²+bp+c=0
Match each root locus plot (A - F) to the correct set of coefficients (a,b,c) of the polynomial.
Root Locus
10
8
6
Root Locus
10
8
6
Root Locus
10
8
6
{<>
-8
-10
-10
-10
-10
-5
0
5
10
-10
-5
0
5
10
-10
-5
0
5
10
Real
10
8
6
2
0
Root Locus
10
8
6
4
2
Real
Root Locus
10
8
6
Real
Root Locus
€Ð+
-8
-10
-5
0
5
10
-10
-5
0
5
10
-10
-5
0
5
10
Real
Real
Real
Polynomials
a=x,b=0.5,c=3, x= [0,2]
a = 1,b=7.2*x, c = 12.96, x = [0, 1.1]
a=0.1,b=0.5,c=x, x= [0,3]
a = 1,b=1.4*x,c = x², x = [0, 10]
a=x,b=1,c=3, x= [0,0.5]
a=1,b=13.2*x,c=43.56, x = [0,1.1]
Root Locus
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