Using the Bode plot shown below, estimate the frequency response to the following inputs: a) u(t) = 3 cos 4t b) u(t) 0.5 sin 40t c) u(t)= 10 cos 400t After doing the above, derive the transfer function for the system that has this Bode plot. Magnitude (dB) Phase (degrees) -20 -30 -40 -50 10⁰ 0 -15 -30 -45 -60 -75 -90 100 10¹ 101 Frequency 10² 10² 103 103

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using the Bode plot shown below, estimate the frequency response to the following inputs:
a) u(t)= 3 cos 4t
b) u(t) 0.5 sin 40t
c) u(t)= 10 cos 400t
After doing the above, derive the transfer function for the system that has this Bode plot.
Magnitude (dB)
Phase (degrees)
-20
-30
-40
-50
10⁰
0
-15
-30
-45
-60
-75
-90
100
10¹
101
Frequency
10²
10²
103
103
Transcribed Image Text:Using the Bode plot shown below, estimate the frequency response to the following inputs: a) u(t)= 3 cos 4t b) u(t) 0.5 sin 40t c) u(t)= 10 cos 400t After doing the above, derive the transfer function for the system that has this Bode plot. Magnitude (dB) Phase (degrees) -20 -30 -40 -50 10⁰ 0 -15 -30 -45 -60 -75 -90 100 10¹ 101 Frequency 10² 10² 103 103
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