Problem 5: The asymptotic Bodé plots of dB magnitude and phase are given. a) What are the DC gains | Hyr (0)|dB and Hyr (0)| ? b) d) | Hyr (0) |dB = 40 dB 20log | Hyr (0)| = 40 ⇒ log | Hyr (0)|=2 ⇒ | Hyr (0)| = 100 due to a unit step input? Find the steady-state output yss (Hyr (0) = 100 since ZHyr (0) = 0°) c) Frequency Yss=lim s Hyr - Hyr (0) = 100 1 S s→0 Find the steady-state output yss due to the input r(t) of the input: w = 1 rad/s Hyr | Hyr (1) |dB = 20 dB = 20 log | Hyr (1)| → |Hyr(1)|= 10, Yss = 3| Hyr (1)| cos (t + ZH(j1)) Write the transfer function Hyr based on the Bodé plot 100 (0.5 s + 1) (10s +1) (0.1 s + 1)² = = 3 cos (t). also correct: Hyr ZHyr (1) = -40° 30 cos (t-40°) 500 (s+2) (s+0.1) (s+10)²
Problem 5: The asymptotic Bodé plots of dB magnitude and phase are given. a) What are the DC gains | Hyr (0)|dB and Hyr (0)| ? b) d) | Hyr (0) |dB = 40 dB 20log | Hyr (0)| = 40 ⇒ log | Hyr (0)|=2 ⇒ | Hyr (0)| = 100 due to a unit step input? Find the steady-state output yss (Hyr (0) = 100 since ZHyr (0) = 0°) c) Frequency Yss=lim s Hyr - Hyr (0) = 100 1 S s→0 Find the steady-state output yss due to the input r(t) of the input: w = 1 rad/s Hyr | Hyr (1) |dB = 20 dB = 20 log | Hyr (1)| → |Hyr(1)|= 10, Yss = 3| Hyr (1)| cos (t + ZH(j1)) Write the transfer function Hyr based on the Bodé plot 100 (0.5 s + 1) (10s +1) (0.1 s + 1)² = = 3 cos (t). also correct: Hyr ZHyr (1) = -40° 30 cos (t-40°) 500 (s+2) (s+0.1) (s+10)²
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
100%
please explain the process to arriving at these answers
![Problem 5: The asymptotic Bodé plots of dB magnitude and phase are given.
a)
What are the DC gains | Hyr (0)|dB and Hyr (0)| ?
b)
d)
| Hyr (0) |dB = 40 dB
20log | Hyr (0)| = 40 ⇒ log | Hyr (0)|=2 ⇒ | Hyr (0)| = 100
due to a unit step input?
Find the steady-state output yss
(Hyr (0) = 100 since ZHyr (0) = 0°)
c)
Frequency
Yss=lim s Hyr - Hyr (0) = 100
1
S
s→0
Find the steady-state output yss due to the input r(t)
of the input: w = 1 rad/s
Hyr
| Hyr (1) |dB = 20 dB = 20 log | Hyr (1)| → |Hyr(1)|= 10,
Yss = 3| Hyr (1)| cos (t + ZH(j1))
Write the transfer function Hyr based on the Bodé plot
100 (0.5 s + 1)
(10s +1) (0.1 s + 1)²
=
=
3 cos (t).
also correct: Hyr
ZHyr (1) = -40°
30 cos (t-40°)
500 (s+2)
(s+0.1) (s+10)²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F831851de-f673-41f5-9f36-80ab878b6fd6%2F6bfaf28c-5eaf-4f2a-9c1f-a05ac083d9c6%2F0igmh1_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 5: The asymptotic Bodé plots of dB magnitude and phase are given.
a)
What are the DC gains | Hyr (0)|dB and Hyr (0)| ?
b)
d)
| Hyr (0) |dB = 40 dB
20log | Hyr (0)| = 40 ⇒ log | Hyr (0)|=2 ⇒ | Hyr (0)| = 100
due to a unit step input?
Find the steady-state output yss
(Hyr (0) = 100 since ZHyr (0) = 0°)
c)
Frequency
Yss=lim s Hyr - Hyr (0) = 100
1
S
s→0
Find the steady-state output yss due to the input r(t)
of the input: w = 1 rad/s
Hyr
| Hyr (1) |dB = 20 dB = 20 log | Hyr (1)| → |Hyr(1)|= 10,
Yss = 3| Hyr (1)| cos (t + ZH(j1))
Write the transfer function Hyr based on the Bodé plot
100 (0.5 s + 1)
(10s +1) (0.1 s + 1)²
=
=
3 cos (t).
also correct: Hyr
ZHyr (1) = -40°
30 cos (t-40°)
500 (s+2)
(s+0.1) (s+10)²
![50
40
30
20
10
0
-10
-20
-30
-40
-50
-60
-70
10-3
10
0
-10
-20
-30
-40
-50
-60
-70
-80
-90
dB
-100
-110
-120
-130
-140
-150
-160
-170
-180
-190
10-3
Hyr (jw) dB
10-2
ZHyr (jw)
10-2
10-1
10-1
100
10⁰
10¹
10¹
102
10²
rad/s
103
rad/s
103](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F831851de-f673-41f5-9f36-80ab878b6fd6%2F6bfaf28c-5eaf-4f2a-9c1f-a05ac083d9c6%2F54jhbdk_processed.png&w=3840&q=75)
Transcribed Image Text:50
40
30
20
10
0
-10
-20
-30
-40
-50
-60
-70
10-3
10
0
-10
-20
-30
-40
-50
-60
-70
-80
-90
dB
-100
-110
-120
-130
-140
-150
-160
-170
-180
-190
10-3
Hyr (jw) dB
10-2
ZHyr (jw)
10-2
10-1
10-1
100
10⁰
10¹
10¹
102
10²
rad/s
103
rad/s
103
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 8 steps with 9 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Fundamentals of Electric Circuits](https://www.bartleby.com/isbn_cover_images/9780078028229/9780078028229_smallCoverImage.gif)
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
![Electric Circuits. (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134746968/9780134746968_smallCoverImage.gif)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
![Engineering Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780078028151/9780078028151_smallCoverImage.gif)
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,