Question

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. -20 -30 Magnitude (dB) -40 -50 10^0 10^1 10^2 10^3 0 -15 -30 Phase (degrees) -45 -60 -75 -90 10^0 10^1 10^2 10^3 Frequency

          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.

-20
-30
Magnitude (dB)
-40
-50
10^0
10^1
10^2
10^3
0
-15
-30
Phase (degrees)
-45
-60
-75
-90
10^0
10^1
10^2
10^3
Frequency

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.

-20
-30
Magnitude (dB)
-40
-50
10^0
10^1
10^2
10^3
0
-15
-30
Phase (degrees)
-45
-60
-75
-90
10^0
10^1
10^2
10^3
Frequency

Added by Patty R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

12/10/2022

Step 1

The magnitude plot shows |H(jω)| in decibels (dB) and the phase plot shows the phase angle, ∠H(jω), in degrees. a) For u(t) = 3 cos 4t, the frequency is 4 rad/s. We look at the Bode plot at this frequency. The magnitude plot tells us the gain at this frequency Show more…

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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.