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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

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)
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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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
Transcribed Image Text: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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