(a) (b) (c) (d) R(s) = R(s)= (e) R(S)= R(s) = MODE> 5-3 > 109 R(s) = System G(s) MODE> 5-3 >129=-1+2√2i-1-2√2i =-1 +V8i -1 - V8i MODE> 5-3 > 169 as General G(s) +98 +9 Overdamped G(s) ²+2s+9 Underdamped G(s) C(s) +65 +9 Critically damped C(s) C(s) Pole-zero plot C(s) s-plane -7.854 -1.146 s-plane ja s-plane of order systems, pole plots, and step responses c(1) c(0)=1+0.17le-7854- 1.171-1.146 c(1) c(t)=1-e (cos/&rsin√8) -1-1.06e cos(√8-1947 1.4 1.2 X √√√²1.0 c(t)=1-cos 3r joo G(s) s-plane j3 +- - M. C(s) 3²+ Undamped 40.8 0.6 0.4 0.2 0 Response c(1) 0.8 0.6 0.4 0.2 S=0 c(1)=1-3te³-e³

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
(a)
(b)
(c)
(d)
R(s) =
R(s)=
(e)
R(S)=
R(s) =
MODE> 5-3 > 109
²+2s+9
Underdamped
MODE>5-3> 129=-1+2√2i-1-2√2i
=-1 +V8i -1 - V8i
R(s) =
System
G(s)
MODE> 5-3 > 169
as
General
G(s)
+98 +9
Overdamped
G(s)
G(s)
C(s)
+65 +9
Critically damped
C(s)
C(s)
Pole-zero plot
C(s)
s-plane
-7.854 -1.146
s-plane
c(1) c(0)=1+0.17le-7854-
1.171-1.146
order systems, pole plots, and step responses
c(1) c(t)=1-e (cos/&rsin√8)
-1-1.06e cos(√8-1947
1.4
1.2
X √√√²4.0
c(t)=1-cos 3r
joo
G(s)
s-plane
j3
+- - M.
C(s)
3²+
Undamped
Response
40.8
0.6
0.4
0.2
0
c(1)
ja
s-plane
of i
0.8
0.6
0.4
0.2
S=0
c(1)=1-3te³-e³
Transcribed Image Text:(a) (b) (c) (d) R(s) = R(s)= (e) R(S)= R(s) = MODE> 5-3 > 109 ²+2s+9 Underdamped MODE>5-3> 129=-1+2√2i-1-2√2i =-1 +V8i -1 - V8i R(s) = System G(s) MODE> 5-3 > 169 as General G(s) +98 +9 Overdamped G(s) G(s) C(s) +65 +9 Critically damped C(s) C(s) Pole-zero plot C(s) s-plane -7.854 -1.146 s-plane c(1) c(0)=1+0.17le-7854- 1.171-1.146 order systems, pole plots, and step responses c(1) c(t)=1-e (cos/&rsin√8) -1-1.06e cos(√8-1947 1.4 1.2 X √√√²4.0 c(t)=1-cos 3r joo G(s) s-plane j3 +- - M. C(s) 3²+ Undamped Response 40.8 0.6 0.4 0.2 0 c(1) ja s-plane of i 0.8 0.6 0.4 0.2 S=0 c(1)=1-3te³-e³
4. Refer to the figure on the right. (a) Solve for the poles and zeroes mathematically of the provided b to e transfer
functions. (b) Write an essay explaining the figure. TIP: How is the pole-zero plot affect the response in terms of
the pole placing? What is the output if the poles are purely at the real axis? Imaginary axis? Or overlapping? What
are the 4 kinds of responses and the general form? What response/s has the oscillation?
Transcribed Image Text:4. Refer to the figure on the right. (a) Solve for the poles and zeroes mathematically of the provided b to e transfer functions. (b) Write an essay explaining the figure. TIP: How is the pole-zero plot affect the response in terms of the pole placing? What is the output if the poles are purely at the real axis? Imaginary axis? Or overlapping? What are the 4 kinds of responses and the general form? What response/s has the oscillation?
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