Dr. R. RocklandSpring, 2006
ECET 300 - 002, Circuit Analysis - Transform Methods
Class Hours
Monday / 10:00 AM – 11:25 AM / KUPF 204Wednesday / 10:00 AM – 11:25 AM / KUPF 204
Office Hours (GITC 2104)
Monday / 9:00 AM – 9:50 AMWednesday / 1:00 PM – 2:20 PM
Or by appointment: (973) 642-7155 or
home page:
Text
William D. Stanley, Transform Circuit Analysis for Engineering and Technology, Prentice Hall, 5th edition, 2003.
Rockland, R., MATLAB Quick Guide for ECET 300
Go to my home page and then go to Download. You will be able to download this file as a .pdf file (either print it out or look at it on your computer – need to download Adobe Acrobat Reader). I will give you the password during the first class.
To get a CD of Matlab, you can download it from csd.njit.edu or obtain it from the library. It is a very large download (over 500 MB) so if you want to download this program, you should do it from the PC mall (where you can burn a CD).
To get the PSpice software, go to , and click on the Download link located at the bottom of the page..
Course Description
Prerequisites: DC and AC circuit analysis (AAS level). Corequisite: Math 322. The principles, theorems and techniques of circuit analysis are reviewed. The technique of waveform and circuit transforms is introduced. Laplace transforms are studied and applied in the solution of circuit problems with a variety of input functions. Fourier analysis also is introduced.
Course objective
By the end of the course you should be able to do the following:
- Laplace Transforms and other Circuit Theorems. Understand how to apply Laplace transforms to solve cirucuit application problems, and to combine this technique with other circuit theorems, such as Ohm’s Law, Kirchoff’s Voltage and Current Laws, Source Transformation, Superposition and Thevenin.
- Software Applications. Simulate a circuit with the use of PSpice to obtain a prior understanding of the circuit’s behavior. Incorporate the results of this application, including graphical outputs, in a report. Learn how to utilize Matlab to analyze various mathematical and circuit problems..
- Frequency Analysis. To understand the difference between time and frequency analysis of a circuit, and to develop an understanding of Fourier analysis. Also, be able to theoretically and experimentally generate a Bode plot, as well as simulate these results with PSpice.
- Communication Skills. Develop an understanding of the elements for an effective laboratory report. .
- Problem Solving. Learn alternative methods to problem solving, and the most effective approach to solving circuit problems..
Course Outline
Week / Week of / Homework / Reading / Topics18-Jan
(Wednesday only) / Appendix A / Introduction to course
Complex Numbers
23-Jan / 2: 1, 25, 33, 35 / pgs. 7-40 / Elementary Functions, Addition of Sinusoids, Shifted Functions
30-Jan / 2: 53, 61, 71, 75 / pgs. 43-53 / Impulse Function, Differentiation and Integration of Waveforms
Circuit Parameters
6-Feb / 3: 19, 23
4: 5, 17, 37 / Chapter 3 - overview
pgs. 111-139 / Current/Voltage in Capacitors and Inductors
Time Domain Circuits
13-Feb / 5: 1, 3, 7, 11, 17 / pgs. 159-169 / Test 1 (Monday)
Introduction to Laplace Transforms
20-Feb / 5: 19, 21, 25, 37, 47 / pgs. 169-191 / Inverse Laplace Transforms
27-Feb / 6: 1, 5, 11, 13 / pgs. 207-221 / Circuit Analysis by Laplace Transforms
6-Mar / 6: 31, 43, 51 / pgs. 221-236 / Circuit Analysis by Laplace Transforms (cont.)
Test 2 (Wednesday)
13-Mar /
SPRING RECESS
20-Mar / 7: 1, 3, 7, 21 / pgs. 251-270 / System Considerations27-Mar / 7: 31, 35, 37, 41 / pgs. 271-290 / System Considerations (cont.)
3-Apr / 8:7,17 / pgs. 311-341 / Sinusoidal Steady State
Bode Plots (Part 1)
10-Apr / 9: 1, 5 / pgs. 341-348 / Bode Plots (Part 2)
Test 3 (Wednesday)
17-Apr / pgs. 369-384 / Fourier Series
24-Apr / 9: 11, 13a-c / pgs. 384-397 / Fourier Transforms
1-May
(Monday only) / pgs. 398-406 / Fourier Transforms (cont.)
Final review
Grading:
Homework/Computer15 %
Quizzes10 %
Tests50 %
Final Exam25 %
There are three tests during the semester. The lowest grade will be dropped. However, if you achieve an A for all three tests, you will not be excused from the final. Students achieving an A on all three tests will receive 5 bonus points that will count for the final grade.There will be no makeup tests – if you miss one test, then that is the test you will drop.
There will be at least 4 quizzes, which will be given on random weeks. They will cover the material for the previous lesson only. These quizzes will be for only 10 minutes, and will be given promptly at the beginning of class. There are no makeup quizzes, nor can you take the quiz later in the class. The lowest quiz will be dropped.
Homework - Important
Homework (both the questions at the back of each chapter as well as both the PSpice assignments and MATLAB assignments) is due the week following the date they are assigned (see syllabus), and must be given to the instructor. Answers for the chapter questions (odd-numbered problems only) are in the back of the book. The homework must show how you derived the answers – they will be graded either with a check, or a double check (exceptional). They will not count towards your final grade if they are turned in more than one week late. Homework must be handed in individually, while lab assignments (PSpice) can be handed in as a team, rotating among each member. Lab grades will be reduced by 10 points if one week late, and not graded if more than one week late. MATLAB assignments must also be handed in individually, and is subject to the same time deadlines, and grading, as regular homework.
Software Assignments
To help reinforce the textbook concepts, there are two workbooks for these applications – Matlab and PSpice. There is a separate PSpice problem manual that lists several exercises. At the end of the MATLAB manual are several assignments. Besides completing the required steps for each of the applications, you are encouraged to experiment by:changing values of components (PSpice) or elements of an equation (MATLAB)
- Adding/deleting components
- Changing the measuring points
- Changing the amplitude or type of input
You will be required to hand in a report based on the exercises in PSpice, and a printout of the Matlab worksheet with some explanation. I will go over this in more detail during the first two sessions. This report will be due the Monday after it is assigned (see syllabus). In some cases, the theoretical work that you perform can be visualized by a graph, utilizing Matlab, and then by using PSpice. Each assignment is to be done individually. This report should include the following:
Cover page / Include your name (and other names of your group), date, my name and the title and number of the assignment. Also, you should state what each team member did for the reportTable of Contents
Objectives / What are the objectives for the experiment. List the main objectives as well as additional objectives you might feel worthwhile (i.e. you might be learning new applications of an instrument even though the main purpose is demonstrating circuit theory.
Pre-lab / Detailed calculations (similar to a pre-lab) which will demonstrate what you expect to see. This may involve mathematical proof of responses.
Output / Graphs/circuits printed from the PSpice assignment, including printout(s) of the schematic(s) and response(s).
Discussion of Results and Conclusion / What did you learn from this assignment? What were any difficulties encountered, and how did you overcome them? Are there other ways to have solved this problem? How colose did you come to the “pre-lab” calculations, and why was it different?
Grading of Laboratory Report
In grading a report, there are five areas that will be graded.
Item / ExplanationCompletion of Lab / Performed all parts, answered all questions
Grammer and Spelling / Use of active vs. passive voice, use of spell check, paragraph formation, correct use of technical terms
Discussion of Results and Conclusion / Is the discussion of results complete, understandable, and does the conclusion relate to the results
Pre-lab (theoretical calculations) / Had the pre-lab completed and correct
General appearance, following of format, and general flow / Does the lab look presentable and does the flow make sense
PSpice and MATLAB Assignments (Bolded problems will be handed in for grading)
The MATLAB Quick Guide, with assignments in the back, can be downloaded from the download section of my website (you need to obtain a password) under the ECET 300 section. In addition, a PSpice primer, derived from the ECET 303 course, is also included in this section. Finally, a Problem Guide for the PSpice Reports is also included in this download section. The bolded assignments must be handed in, according to the above mentioned deadline. The other assignments are optional.
Week / Date / PSpice Reports / MATLAB Assignments24-Jan / Assignment 1
31-Jan / Assignment 2
7-Feb / Assignment 3
14-Feb / Problem 1
21-Feb
28-Feb / Problems 2 and 3
7-Mar / Problems 4 and 5 / Assignment 4
14-Mar
21-Mar / Problems 6 and 7
28-Mar
4-Apr / Problems 8 and 9
11-Apr / Problems 10 and 11
18-Apr
25-Apr / Problems 12 and 13
Outcome # 1. Students will understand how to apply Laplace Transforms and other Circuit Theorems.
Strategies & Actions / Criterion 2 / Program Outcomes / Assessment Methods
Laplace Transforms, and Circuit theory, along with applications, are covered in class lectures, homework, and laboratory assignments. / a,b,f / 1, 2 / Tests, homework, and laboratory reports are graded.
Outcome # 2. Students will have the ability to apply software applications to circuit analysis.
Strategies & Actions / Criterion 2 / Program Outcomes / Assessment Methods
Background into these applications are provided in class discussion and instructor developed manuals, and students will utilize these applications in the development of laboratory reports and other homework assignments / a,b,f / 1, 2 / Specific assignments and laboratory reports.
Outcome # 3.Students will understand the concepts of frequency analysis, especially Fourier analysis
Strategies & Actions / Criterion 2 / Program Outcomes / Assessment Methods
Theory of frequency analysis is covered in class lectures and homework assignments, as well as laboratory assignments. / a,b,f / 2,3 / Tests, Homework, and laboratory reports.
Outcome # 4. Students will develop better communication skills.
Strategies & Actions / Criterion 2 / Program Outcomes / Assessment Methods
Discussions on applications and concepts of written communications and laboratory reports. / e, f, k / 4 / Laboratory reports
Outcome # 5. Students will develop more proficient problem solving skills.
Strategies & Actions / Criterion 2 / Program Outcomes / Assessment Methods
Lectures in class and homework assignments / b / 2 / Review of lab notebooks and laboratory reports.
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