Consider a filter with a constant term of 0.01, a zero at 2 rad/s, a pole at 10 rad/s, and a pole at 100 rad/s. Which of the following lines of code will output the transfer function of the filter? O[num, den] = zp2tf(0.01,[10,100],2); H = tf(num,den) O[num, den] = zp2tf(2,0.01,[10,100]); H = tf(num,den) O[num, den] =zp2tf([10,100],2,0.01); H = tf(num,den) O[num, den] = zp2tf(2,[10,100],0.01); H = tf(num,den) What is the corresponding transfer function? 0.018 -0.02 s² - 110s +1000 S- 0.2 110s +1000 S -0.002 s²110s +1000 0.18-0.002 s² - 110s +1000 What is the corresponding bode plot?

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Consider a filter with a constant term of 0.01, a zero at 2 rad/s, a pole at 10 rad/s, and a pole at 100 rad/s.
Which of the following lines of code will output the transfer function of the filter?
O[num, den] = zp2tf(0.01,[10,100],2);
H = tf(num,den)
O[num, den] = zp2tf(2,0.01,[10,100]);
H = tf(num,den)
O[num, den] = zp2tf([10,100],2,0.01);
H = tf(num,den)
O[num, den] = zp2tf(2,[10,100],0.01);
H = tf(num,den)
What is the corresponding transfer function?
0.018 -0.02
s² - 110s +1000
s - 0.2
- 110s + 1000
s 0.002
110s + 1000
0.18 0.002
O
8²
110s +1000
What is the corresponding bode plot?
-80
-90
-100
-110
-120
-90
-135
-180
-225
10-1
-40
-50
-60
-70
-80
-90
-135
-180
-225
-270
10-²
-40
-60
-80
-100
-120
-90
-135
-180
-225
-270
Option A
Option B
Option C
Option D
Magnitude (dB)
Phase (deg)
Magnitude (dB)
Phase (deg)
Magnitude (dB)
Phase (deg)
Magnitude (dB)
Phase (deg)
10
-60
-80
-100
-120
-140
-90
-135
-180
-225
-270
104
10⁰
10-1
10-²
102
Bode Diagram
10¹
10²
Frequency (rad/s)
Bode Diagram
10¹
Frequency (rad/s)
Bode Diagram
10⁰
Frequency (rad/s)
Bode Diagram
10⁰
Frequency (rad/s)
10⁰
10²
10³
10²
10²
10³
104
104
104
104
Transcribed Image Text:Consider a filter with a constant term of 0.01, a zero at 2 rad/s, a pole at 10 rad/s, and a pole at 100 rad/s. Which of the following lines of code will output the transfer function of the filter? O[num, den] = zp2tf(0.01,[10,100],2); H = tf(num,den) O[num, den] = zp2tf(2,0.01,[10,100]); H = tf(num,den) O[num, den] = zp2tf([10,100],2,0.01); H = tf(num,den) O[num, den] = zp2tf(2,[10,100],0.01); H = tf(num,den) What is the corresponding transfer function? 0.018 -0.02 s² - 110s +1000 s - 0.2 - 110s + 1000 s 0.002 110s + 1000 0.18 0.002 O 8² 110s +1000 What is the corresponding bode plot? -80 -90 -100 -110 -120 -90 -135 -180 -225 10-1 -40 -50 -60 -70 -80 -90 -135 -180 -225 -270 10-² -40 -60 -80 -100 -120 -90 -135 -180 -225 -270 Option A Option B Option C Option D Magnitude (dB) Phase (deg) Magnitude (dB) Phase (deg) Magnitude (dB) Phase (deg) Magnitude (dB) Phase (deg) 10 -60 -80 -100 -120 -140 -90 -135 -180 -225 -270 104 10⁰ 10-1 10-² 102 Bode Diagram 10¹ 10² Frequency (rad/s) Bode Diagram 10¹ Frequency (rad/s) Bode Diagram 10⁰ Frequency (rad/s) Bode Diagram 10⁰ Frequency (rad/s) 10⁰ 10² 10³ 10² 10² 10³ 104 104 104 104
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