4) The transfer function of a closed-loop system is TF = [1/ (40s+2)] / [1 + 2/(40s+2)]. Write the time response equation for the given system with a unit stepinput, assuming zero initial conditions.a) 1-et5b) 1-ev10c) 1-ev10d) 1+e10Q2) 1) The transfer function of a system is given as 81/ (s² + 16s + 81). Find theundamped natural frequency, damping ratio, and peak time for a unit step input.a) 9, 0.889, 0.762b) 9, 0.559, 0.762c) 9, 0.889, 0.187d) 9, 0.667, 0.1872) Consider a system with transfer function G(s) = (s + 4)/ (ks² + s + 4). The valueof damping ratio will be 0.5 when the value of k is:a) ½b) ¼c) 8d) 4

Explanation: The transfer function is G(s) = (s+4)/(ks2 + s + 4) G(s) = (1/k)((s+4)/(s2 + s/k +…

Answered: 2) Consider a system with transfer…

2) Consider a system with transfer function G(s) = (s + 4)/ (ks² + s + 4). The value of damping ratio will be 0.5 when the value of k is: a) ½ b) V¼ c) 8 d) 4

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

4) The transfer function of a closed-loop system is TF = [1/ (40s+2)] / [1 + 2/
(40s+2)]. Write the time response equation for the given system with a unit step
input, assuming zero initial conditions.
a) 1-et5
b) 1-ev10
c) 1-ev10
d) 1+e10
Q2) 1) The transfer function of a system is given as 81/ (s² + 16s + 81). Find the
undamped natural frequency, damping ratio, and peak time for a unit step input.
a) 9, 0.889, 0.762
b) 9, 0.559, 0.762
c) 9, 0.889, 0.187
d) 9, 0.667, 0.187
2) Consider a system with transfer function G(s) = (s + 4)/ (ks² + s + 4). The value
of damping ratio will be 0.5 when the value of k is:
a) ½
b) ¼
c) 8
d) 4

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