8. For each of the transfer functions shown below, find the locations of the poles and zeros, plot them on the s-plane, and then write an expression for the general form of the step response without solving for the inverse Laplace transform. State the nature of each response (overdamped, underdamped, and so on). [Sections: 4.3, 4.4] 2 a. T(s) =- s+2 5 b. T(s) = (s+3)(s+ 6) 10(s + 7) (s+ 10)(s + 20) c. T(s) =-
8. For each of the transfer functions shown below, find the locations of the poles and zeros, plot them on the s-plane, and then write an expression for the general form of the step response without solving for the inverse Laplace transform. State the nature of each response (overdamped, underdamped, and so on). [Sections: 4.3, 4.4] 2 a. T(s) =- s+2 5 b. T(s) = (s+3)(s+ 6) 10(s + 7) (s+ 10)(s + 20) c. T(s) =-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![8. For cach of the transfer functions shown below, find
the locations of the poles and zeros, plot them on the
s-plane, and then write an expression for the general
form of the step response without solving for the
inverse Laplace transform. State the nature of each
response (overdamped, underdamped, and so on).
[Sections: 4.3, 4.4]
a. T(s):
s+2
5
b. T(s) =
(s +3)(s + 6)
10(s + 7)
(s+ 10)(s + 20)
c. T(s) =
20
d. T(s) ==
s +
+ 6s + 144
s+2
e. T(s) =
s² +9
(s +5)
(s+ 10)?
f. T(s) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd9df4da-6d13-4a6e-a2a8-d37e6c5c2a11%2F0d3dfef1-4b5b-4bfb-9a3d-0b7677d99497%2F8n1ciwg_processed.png&w=3840&q=75)
Transcribed Image Text:8. For cach of the transfer functions shown below, find
the locations of the poles and zeros, plot them on the
s-plane, and then write an expression for the general
form of the step response without solving for the
inverse Laplace transform. State the nature of each
response (overdamped, underdamped, and so on).
[Sections: 4.3, 4.4]
a. T(s):
s+2
5
b. T(s) =
(s +3)(s + 6)
10(s + 7)
(s+ 10)(s + 20)
c. T(s) =
20
d. T(s) ==
s +
+ 6s + 144
s+2
e. T(s) =
s² +9
(s +5)
(s+ 10)?
f. T(s) =
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