Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
12. Determine the magnitude and the phase of the response of a system with transfer function 3/(s+2) to sinusoidal inputs of angular frequency (a) 1 rad/s and (b) 2 rad/s. 13. Sketch the asymptotes for the Bode plots of systems with the transfer functions (a) 100 G) 1000. (G 1000)

12. Determine the magnitude and the phase of the response of a system with transfer function 3/(s+2) to sinusoidal inputs of angular frequency (a) 1 rad/s and (b) 2 rad/s. 13. Sketch the asymptotes for the Bode plots of systems with the transfer functions (a) 100 G) 1000. (G 1000)

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
Number 12
8. A system with a transfer function G(s) = 10/(1+3s) has a break frequency of A. 1/3 rad/s B. 1 rad/s 284 C. (i) F (ii) T D. (i) F (ii) F C. 3 rad/s D. 10 rad/s 9. Decide whether each of these statements is True (T) or False (F). For a system to be stable, it must have: i. An open-loop gain greater than 1. ii. A phase shift between 0° and 180°. A. (i) T (ii) T B. (i) T (ii) F - INSTRUMENTATION AND CONTROL SYSTEMS 10. The phase crossover frequency of a system is the frequency at which the phase angle first reaches: A. 180° B. -90° C. 0° D. +180° 11. FREQUENCY RESPONSE 11. What are the frequency response functions for systems with transfer functions (a) 1/(s+5), (b) 7/(s + 2) and (c) 1/[(s + 10)(s + 2)]? 12. Determine the magnitude and the phase of the response of a system with transfer function 3/(s + 2) to sinusoidal inputs of angular frequency (a) 1 rad/s and (b) 2 rad/s. 13. Sketch the asymptotes for the Bode plots of systems with the transfer functions (a) 100, (b) 1000/(s +1000) and (c) 4/(s² +s+4). Search - 14. Sketch the asymptotes for the Bode plots of systems with the transfer function (a) 10/s², (b) (s 10)/(s + 10) and (c) s/(s² + 20s + 100). 15. Obtain the transfer functions of the systems giving the Bode gain plots in Figure 11.39. 16. The following are experimentally determined frequency response data for a system. By plotting the Bode gain diagram, determine the transfer function of the system. Frequency (Hz) 0.16 0.47 1.3 2.5 4.8 10.0 16.0 20.0 24.0 X
Transcribed Image Text:8. A system with a transfer function G(s) = 10/(1+3s) has a break frequency of A. 1/3 rad/s B. 1 rad/s 284 C. (i) F (ii) T D. (i) F (ii) F C. 3 rad/s D. 10 rad/s 9. Decide whether each of these statements is True (T) or False (F). For a system to be stable, it must have: i. An open-loop gain greater than 1. ii. A phase shift between 0° and 180°. A. (i) T (ii) T B. (i) T (ii) F - INSTRUMENTATION AND CONTROL SYSTEMS 10. The phase crossover frequency of a system is the frequency at which the phase angle first reaches: A. 180° B. -90° C. 0° D. +180° 11. FREQUENCY RESPONSE 11. What are the frequency response functions for systems with transfer functions (a) 1/(s+5), (b) 7/(s + 2) and (c) 1/[(s + 10)(s + 2)]? 12. Determine the magnitude and the phase of the response of a system with transfer function 3/(s + 2) to sinusoidal inputs of angular frequency (a) 1 rad/s and (b) 2 rad/s. 13. Sketch the asymptotes for the Bode plots of systems with the transfer functions (a) 100, (b) 1000/(s +1000) and (c) 4/(s² +s+4). Search - 14. Sketch the asymptotes for the Bode plots of systems with the transfer function (a) 10/s², (b) (s 10)/(s + 10) and (c) s/(s² + 20s + 100). 15. Obtain the transfer functions of the systems giving the Bode gain plots in Figure 11.39. 16. The following are experimentally determined frequency response data for a system. By plotting the Bode gain diagram, determine the transfer function of the system. Frequency (Hz) 0.16 0.47 1.3 2.5 4.8 10.0 16.0 20.0 24.0 X
Expert Solution
Step

The magnitude expression is

M = √[(real part)2+(imaginory part)2]

Phase = + tan-1(imaginary/real part) for numenator or zero.

Phase = - tan-1(imaginary/real part) for dinomenator or pole

 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Types of Resonance and Different Parameter
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.
Similar questions
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