Four systems are represented by the transfer functions given below. A. GA(S) = C. Gc(s) = 20 2s + 1 B. GB(s)=2+40s +400 24000 3s2+36s + 1200 D. GD(s) = 8000 48000 3s2 + 12s + 4800 Your tasks: A. Find the time constant of GA. B. Find the natural frequency, wn, and damping ratio, C, of the 2nd order transfer functions: GB, GC, GD C. Match the Transfer Functions given in the problem statement with their respective step responses. Be aware of the axis limits for the step functions, as they are unique. • For each of the four systems, format your answers in the following form: Gx-step-y Provide justification (no more than a sentence) to explain your choice (for each system). Amplitude Amplitude 20 15 5 0 30 20 10 0 0 Step Response 1 0.2 Time (seconds) Step Response 3 0.4 0.2 0.4 0.6 0.8 Time (seconds) Amplitude Amplitude 20 0 20 15 0 0 0 Step Response 2 1 2 Time (seconds) Step Response 4 5 10 Time (seconds) 15 3

Four systems are represented by the transfer functions given below. A. GA(S) = C. Gc(s) = 20 2s + 1 B. GB(s)=2+40s +400 24000 3s2+36s + 1200 D. GD(s) = 8000 48000 3s2 + 12s + 4800 Your tasks: A. Find the time constant of GA. B. Find the natural frequency, wn, and damping ratio, C, of the 2nd order transfer functions: GB, GC, GD C. Match the Transfer Functions given in the problem statement with their respective step responses. Be aware of the axis limits for the step functions, as they are unique. • For each of the four systems, format your answers in the following form: Gx-step-y Provide justification (no more than a sentence) to explain your choice (for each system). Amplitude Amplitude 20 15 5 0 30 20 10 0 0 Step Response 1 0.2 Time (seconds) Step Response 3 0.4 0.2 0.4 0.6 0.8 Time (seconds) Amplitude Amplitude 20 0 20 15 0 0 0 Step Response 2 1 2 Time (seconds) Step Response 4 5 10 Time (seconds) 15 3

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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