2 Problem 2 (a): Match each ODE to its corresponding step response. All initial conditions are zero.ODEGraphStep responses4x+2x+4x=4u(t)Graph 10.80.8*+2x+100x =100u(t)0.60.60.40.42x+8x+8x=16u(t)0.20.2*+5x+100x = 100u(t)4x+x= u(t)Graph 21.50.5Graph 314 505 10 15 20012 34 5Graph 41.50.5x+x= u(t)1.50.5Graph 5Graph 61.50.5121 2 3 4 551015 20Problem 2 (b): The poles (roots) of five linear systems are plotted below in the s-domain. Eachsystem is indicated by a different marker (e.g., both triangle markers are for system iii).(a) What is the order of each system?Imaginary axis (rad/sec)54O(ii)132--2-3*(i)OA(iii)(iv)xxㅁA(v)(i)(ii)(iii)(iv)(v)(b) Which systems are stable?(i)(ii) (ii) (iv) (v)(b) Rank the stable systems in order of settling time← FastestSlowest →-4-5(d) Which 2nd-order system has the largest wn?-7 -6 -5 -4 -3 -2 -1 0 1 2 3 (e) Which 2nd-order system has the largest ??Real axis (rad/sec)

Given diagrams are,Asked to match the system with corresponding step response.Note: “Since you have…

Problem 2 (a): Match each ODE to its corresponding step response. All initial conditions are zero. ODE 4x+2x+4x=4u(t) Graph Step responses Graph 1 Graph 2 Graph 3 1 1 2 0.8 0.8 1.5 *+2x+100x = 100u(t) 0.6 0.6 1 0.4 0.4 2+8x+8x= 16u(t) 0.5 0.2 0.2 +5x+100x = 100u(t) 4x + x = u(t) Q 0 1 2 3 4 5 0 5 10 15 20 0 1 2 3 4 5 Graph 4 1.5 0.5 x + x = u(t) 1.5 0.5 Graph 5 Graph 6 1.5 0.5 0° 1 2 0 1 2 3 4 5 Ο 5 10 15 20

Problem 2 (a): Match each ODE to its corresponding step response. All initial conditions are zero. ODE 4x+2x+4x=4u(t) Graph Step responses Graph 1 Graph 2 Graph 3 1 1 2 0.8 0.8 1.5 *+2x+100x = 100u(t) 0.6 0.6 1 0.4 0.4 2+8x+8x= 16u(t) 0.5 0.2 0.2 +5x+100x = 100u(t) 4x + x = u(t) Q 0 1 2 3 4 5 0 5 10 15 20 0 1 2 3 4 5 Graph 4 1.5 0.5 x + x = u(t) 1.5 0.5 Graph 5 Graph 6 1.5 0.5 0° 1 2 0 1 2 3 4 5 Ο 5 10 15 20

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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