B) Analyze the following frequency responses of a first-order system subject to a simple periodic input of the form Asin(wt). Magnitude ratio M(w) 1.2 1.1 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0.01 0.10 1.00 TW 10.00 -10 -20 100.00 Decibels (dB) Phase shift, (o)[°] -10 -20 -30 -40 -50 -60 -70 -80 -90 0.01 0.1 1.0 TWO 10.0 100.0 C) Which would you expect to be better suited to measure a time-dependent temperature, a thermal sensor (e.g., a thermocouple) having a small diameter spherical bead or one having a large diameter spherical bead? Explain your choice using a mathematical expression or model. D) Determine the 95 % response time for the system 5 y + 5y = U(t), where, U(t) = { 1 ift > t' (0 ift

B) Analyze the following frequency responses of a first-order system subject to a simple periodic input of the form Asin(wt). Magnitude ratio M(w) 1.2 1.1 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0.01 0.10 1.00 TW 10.00 -10 -20 100.00 Decibels (dB) Phase shift, (o)[°] -10 -20 -30 -40 -50 -60 -70 -80 -90 0.01 0.1 1.0 TWO 10.0 100.0 C) Which would you expect to be better suited to measure a time-dependent temperature, a thermal sensor (e.g., a thermocouple) having a small diameter spherical bead or one having a large diameter spherical bead? Explain your choice using a mathematical expression or model. D) Determine the 95 % response time for the system 5 y + 5y = U(t), where, U(t) = { 1 ift > t' (0 ift

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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Question

100%

B) Analyze the following frequency responses of a first-order system subject to a simple periodic input of the
form Asin(wt).
1.2
1.1
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0.0
0.01
0.10
L
1.00
τω
10.00
0
-2
-10
-20
100.00
0
-10
-20
-30
-40
-50
-60
-70
-80
-90
0.01
0.1
1.0
TW
10.0
100.0
C) Which would you expect to be better suited to measure a time-dependent temperature, a thermal sensor (e.g., a
thermocouple) having a small diameter spherical bead or one having a large diameter spherical bead? Explain your
choice using a mathematical expression or model.
D) Determine the 95 % response time for the system 5 y + 5y = U(t), where, U(t) = { iftst
1 t'

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1 Problem You are given the following data (below) showing the steady-state output response, x(t), of a mass-spring-damper (stable, LTI) system to a sinusoidal input u(t) = A sin(wt). This snapshot is the response after all the transients have decayed (the time is shifted to start at zero for conve- nience). x 0.5225 Displacement pu(t) Sinusoidal force input x 0.1041 1.5 1 Y2 х 0.2783 Y1.372 0.5 h ok -0.5- -1 -1.5 x(t) M Assume: bl u(t) x(t) Horizontal Plane (no gravity) 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Time (sec) www k Using only the data provided above (the blue line is the input u(t) and the red line is the output x(t)), determine: 1. The frequency of the input in rad/s 2. The amplitude of the input, A 3. The frequency of the output in rad/s 4. The output-input ratio |G(iw)| = max(x(t)) max(u(t))' at the particular input frequency shown. 5. The phase (also called phase lag) of the output, $, at the particular input frequency shown in degrees. Note the phase is generally…