(a)(b)(c)(d)R(s) =R(s)=(e)R(S)=R(s) =MODE> 5-3 > 109²+2s+9UnderdampedMODE>5-3> 129=-1+2√2i-1-2√2i=-1 +V8i -1 - V8iR(s) =SystemG(s)MODE> 5-3 > 169asGeneralG(s)+98 +9OverdampedG(s)G(s)C(s)+65 +9Critically dampedC(s)C(s)Pole-zero plotC(s)s-plane-7.854 -1.146s-planec(1) c(0)=1+0.17le-7854-1.171-1.146order systems, pole plots, and step responsesc(1) c(t)=1-e (cos/&rsin√8)-1-1.06e cos(√8-19471.41.2X √√√²4.0c(t)=1-cos 3rjooG(s)s-planej3+- - M.C(s)3²+UndampedResponse40.80.60.40.20c(1)jas-planeof i0.80.60.40.2S=0c(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 transferfunctions. (b) Write an essay explaining the figure. TIP: How is the pole-zero plot affect the response in terms ofthe pole placing? What is the output if the poles are purely at the real axis? Imaginary axis? Or overlapping? Whatare the 4 kinds of responses and the general form? What response/s has the oscillation?

Answered: Image /qna-images/answer/5bf5adcc-0c6d-461f-819b-d0e22e6e3b2b.jpg

(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

(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

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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