The input and output corresponding to the steady (frequency) response of a first order system have been recorded below. Determine the following: a) Use the phase difference to find the time constant of the system. b) Write down a differential eq. of a 1st order system that will yield the same response. c) For which range of input frequencies will the response of the first order system be negligible? Clearly explain your answer and provide numerical values for the range. d) For which range of frequencies can the derivative term in the first order system be ignored? 3142 4.894 1.8 1.6 14 1.2 1 0.5 0.8 0.6 0.4 Output(t) 0.2 Input() -0.25 -0.4 -0.6 -0.8 -1 -0.5 -1.2 -1.4 -1.6 1.8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 t
The input and output corresponding to the steady (frequency) response of a first order system have been recorded below. Determine the following: a) Use the phase difference to find the time constant of the system. b) Write down a differential eq. of a 1st order system that will yield the same response. c) For which range of input frequencies will the response of the first order system be negligible? Clearly explain your answer and provide numerical values for the range. d) For which range of frequencies can the derivative term in the first order system be ignored? 3142 4.894 1.8 1.6 14 1.2 1 0.5 0.8 0.6 0.4 Output(t) 0.2 Input() -0.25 -0.4 -0.6 -0.8 -1 -0.5 -1.2 -1.4 -1.6 1.8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 t
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:The input and output corresponding to the steady (frequency) response of a first order
system have been recorded below. Determine the following:
a) Use the phase difference to find the time constant of the system.
b) Write down a differential eq. of a 1st order system that will yield the same response.
c) For which range of input frequencies will the response of the first order system be
negligible? Clearly explain your answer and provide numerical values for the range.
d) For which range of frequencies can the derivative term in the first order system be
ignored?
3142 4.894
1.8
1.6
14
1.2
1
0.5
0.8
0.6
0.4
Output(t)
0.2
Input()
-0.25
-0.4
-0.6
-0.8
-1
-0.5
-1.2
-1.4
-1.6
1.8
0 1
2
3
4
5
6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
t
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