Magnitude (dB) 100 80 60 ५० 20 0 -20 -40 -60 10-3 10-2 10-1 10° Frequency (rad/s) 10' 102 10 10°

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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Consider this Bode Magnitude plot and its slope transitions. Find the transfer function for this Bode plot. 

ζ  peak (dB)
0.001 54
0.05 20
0.1 12
0.25 6
0.5 0
1 -6

first redraw the diagram with all the asymptotes at the features where the slope transitions and label the slope. find a list of features of zeroes at s=? and poles at s=? where the slope transitions and the w range with w min being 1/10th of the smallest feature and w max being 10* the biggest feature in rad/s. Find the initial asymptote where the transfer function |T(jw)| w tends to 0 in the graph approximately and at wn and damping ratio. remember that 20 db/decade slope is like a 45 degree slope and that zeros give a positive slope and poles give a negative slope. 

Magnitude (dB)
100
80
60
५०
20
0
-20
-40
-60
10-3
10-2
10-1
10°
Frequency (rad/s)
10'
102
10
10°
Transcribed Image Text:Magnitude (dB) 100 80 60 ५० 20 0 -20 -40 -60 10-3 10-2 10-1 10° Frequency (rad/s) 10' 102 10 10°
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