At ω1 = 9.3 rad/s, determine the magnitude M(ω1) in dB and phase φ(ω1) in the degree of the voltage transfer function H(ω):
At ω1 = 9.3 rad/s, determine the magnitude M(ω1) in dB and phase φ(ω1) in the degree of the voltage transfer function H(ω):
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
At ω1 = 9.3 rad/s, determine the magnitude M(ω1) in dB and phase φ(ω1) in the degree of the voltage transfer function H(ω):
![**Topic: Bode Plot Analysis**
**Objective:** Generate Bode magnitude and phase plots using the straight-line approximation method for a given voltage transfer function.
### Transfer Function:
\[
H(\omega) = \frac{4 \times 10^4 (60 + j6\omega)}{(4 + j2\omega)(100 + j2\omega)(400 + j4\omega)}
\]
### Instructions:
1. **Determine Corner Frequencies:**
- Identify and list all corner frequencies of the Bode plots in increasing order.
2. **Generate Bode Plots:**
- Create Bode magnitude plots in decibels (dB).
- Develop phase plots in degrees.
- Note: There is no submission required for this problem.
### Corner Frequencies:
- \(\omega_{c1} = 2.000\) rad/s
- \(\omega_{c2} = 10.000\) rad/s
- \(\omega_{c3} = 50.000\) rad/s
- \(\omega_{c4} = 100.000\) rad/s
**Explanation:**
- The transfer function \(H(\omega)\) is provided for analysis.
- Students are tasked with identifying the corner frequencies and plotting the Bode magnitude and phase.
- The given frequencies \(\omega_{c1}, \omega_{c2}, \omega_{c3},\) and \(\omega_{c4}\) are integral for determining the changes in slope in the Bode plots.
- This exercise involves applying principles of Bode plot creation which includes the approximation of system response with straight line segments.
This is commonly used for analyzing frequency response in electrical circuits and control systems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F000774e1-5c4d-48f4-ab3a-32fc5a27d75a%2F427fd232-3819-4d70-9fca-4ac7b3278b13%2F451czt_processed.png&w=3840&q=75)
Transcribed Image Text:**Topic: Bode Plot Analysis**
**Objective:** Generate Bode magnitude and phase plots using the straight-line approximation method for a given voltage transfer function.
### Transfer Function:
\[
H(\omega) = \frac{4 \times 10^4 (60 + j6\omega)}{(4 + j2\omega)(100 + j2\omega)(400 + j4\omega)}
\]
### Instructions:
1. **Determine Corner Frequencies:**
- Identify and list all corner frequencies of the Bode plots in increasing order.
2. **Generate Bode Plots:**
- Create Bode magnitude plots in decibels (dB).
- Develop phase plots in degrees.
- Note: There is no submission required for this problem.
### Corner Frequencies:
- \(\omega_{c1} = 2.000\) rad/s
- \(\omega_{c2} = 10.000\) rad/s
- \(\omega_{c3} = 50.000\) rad/s
- \(\omega_{c4} = 100.000\) rad/s
**Explanation:**
- The transfer function \(H(\omega)\) is provided for analysis.
- Students are tasked with identifying the corner frequencies and plotting the Bode magnitude and phase.
- The given frequencies \(\omega_{c1}, \omega_{c2}, \omega_{c3},\) and \(\omega_{c4}\) are integral for determining the changes in slope in the Bode plots.
- This exercise involves applying principles of Bode plot creation which includes the approximation of system response with straight line segments.
This is commonly used for analyzing frequency response in electrical circuits and control systems.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
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)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,