Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Sketch and label accurately the straight line Bode plots of the following frequency response H(jw). You may NOT use MATLAB or a graphing calculator (including online calculators) to plot the Bode diagrams: (jw + 1000) H(jw) = (jw)2 + 10jw + 100

Sketch and label accurately the straight line Bode plots of the following frequency response H(jw). You may NOT use MATLAB or a graphing calculator (including online calculators) to plot the Bode diagrams: (jw + 1000) H(jw) = (jw)2 + 10jw + 100

Introductory Circuit Analysis (13th Edition)
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...
See similar textbooks
icon
Related questions
Question

circuit help 

**Task:** Sketch and accurately label the straight-line Bode plots for the following frequency response \( H(j\omega) \). You may NOT use MATLAB or a graphing calculator (including online calculators) to plot the Bode diagrams: \[ H(j\omega) = \frac{(j\omega + 1000)}{(j\omega)^2 + 10j\omega + 100} \] **Guidelines for Bode Plot Construction:** 1. **Magnitude Plot:** - Break down the transfer function into standard form to identify poles and zeros. - Determine the asymptotic behavior of each pole and zero contributing to the magnitude. - Use straight-line approximations for each section of the frequency response. 2. **Phase Plot:** - Determine the phase contribution of each factor in the transfer function. - Calculate the phase shift introduced by poles and zeros over the frequency range. - Sketch the phase plot using standard phase characteristics of poles and zeros. 3. **Frequency Response:** - Identify the corner frequencies, where the slope changes in the magnitude plot. - Calculate the values of \(\omega\) that make the real and imaginary parts zero (if applicable). 4. **Labeling:** - Clearly label axes and important points such as corner frequencies, gain margin, and phase margin. - Include the initial gain and the slope changes at each identified frequency. This is a manual exercise to gain a deeper understanding of Bode plot characteristics and their use in analyzing system dynamics.
Transcribed Image Text:**Task:** Sketch and accurately label the straight-line Bode plots for the following frequency response \( H(j\omega) \). You may NOT use MATLAB or a graphing calculator (including online calculators) to plot the Bode diagrams: \[ H(j\omega) = \frac{(j\omega + 1000)}{(j\omega)^2 + 10j\omega + 100} \] **Guidelines for Bode Plot Construction:** 1. **Magnitude Plot:** - Break down the transfer function into standard form to identify poles and zeros. - Determine the asymptotic behavior of each pole and zero contributing to the magnitude. - Use straight-line approximations for each section of the frequency response. 2. **Phase Plot:** - Determine the phase contribution of each factor in the transfer function. - Calculate the phase shift introduced by poles and zeros over the frequency range. - Sketch the phase plot using standard phase characteristics of poles and zeros. 3. **Frequency Response:** - Identify the corner frequencies, where the slope changes in the magnitude plot. - Calculate the values of \(\omega\) that make the real and imaginary parts zero (if applicable). 4. **Labeling:** - Clearly label axes and important points such as corner frequencies, gain margin, and phase margin. - Include the initial gain and the slope changes at each identified frequency. This is a manual exercise to gain a deeper understanding of Bode plot characteristics and their use in analyzing system dynamics.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Resonant Converters
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)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS