Dr. R. Rockland
Spring, 2006
ECET 300 - 002, Circuit Analysis - Transform Methods
CLASS HOURS
Monday
Wednesday
10:00 AM – 11:25 AM
10:00 AM – 11:25 AM
KUPF 204
KUPF 204
OFFICE HOURS (GITC 2104)
Monday
Wednesday
9:00 AM – 9:50 AM
1:00 PM – 2:20 PM
Or by appointment: (973) 642-7155 or rockland@njit.edu
HOME PAGE: HTTP://WEB.NJIT.EDU/~ROCKLAND
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 http://www.electronics-lab.com/downloads/schematic/013/ , 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..
1
COURSE OUTLINE
Week
Week of
1.
18-Jan
(Wednesday
only)
2.
23-Jan
3.
4.
5.
Homework
Reading
Topics
Appendix A
Introduction to course
Complex Numbers
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
6-Feb
3: 19, 23
Chapter 3 - overview
13-Feb
4: 5, 17, 37
5: 1, 3, 7, 11, 17
pgs. 111-139
pgs. 159-169
Impulse Function, Differentiation
and Integration of Waveforms
Circuit Parameters
Current/Voltage in Capacitors and
Inductors
Time Domain Circuits
Test 1 (Monday)
Introduction to Laplace Transforms
6.
20-Feb
5: 19, 21, 25, 37, 47
pgs. 169-191
Inverse Laplace Transforms
7.
27-Feb
6: 1, 5, 11, 13
pgs. 207-221
Circuit Analysis by Laplace
Transforms
8.
6-Mar
6: 31, 43, 51
pgs. 221-236
Circuit Analysis by Laplace
Transforms (cont.)
Test 2 (Wednesday)
9.
13-Mar
SPRING RECESS
10.
20-Mar
7: 1, 3, 7, 21
pgs. 251-270
System Considerations
11.
27-Mar
7: 31, 35, 37, 41
pgs. 271-290
System Considerations (cont.)
12.
3-Apr
8:7,17
pgs. 311-341
Sinusoidal Steady State
Bode Plots (Part 1)
13.
10-Apr
9: 1, 5
pgs. 341-348
Bode Plots (Part 2)
Test 3 (Wednesday)
14.
17-Apr
15.
24-Apr
16.
1-May
(Monday
only)
9: 11, 13a-c
2
pgs. 369-384
Fourier Series
pgs. 384-397
Fourier Transforms
pgs. 398-406
Fourier Transforms (cont.)
Final review
GRADING:
Homework/Computer
Quizzes
Tests
Final Exam
15 %
10 %
50 %
25 %
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
Table of Contents
Objectives
Pre-lab
Output
Discussion of Results
and Conclusion
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
report
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.
Detailed calculations (similar to a pre-lab) which will demonstrate what you expect to
see. This may involve mathematical proof of responses.
Graphs/circuits printed from the PSpice assignment, including printout(s) of the
schematic(s) and response(s).
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?
3
GRADING OF LABORATORY REPORT
In grading a report, there are five areas that will be graded.
Item
Explanation
Completion 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
Had the pre-lab completed and correct
Pre-lab (theoretical calculations)
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 Assignments
1.
24-Jan
Assignment 1
2.
31-Jan
Assignment 2
3.
7-Feb
Assignment 3
4.
14-Feb
5.
21-Feb
6.
28-Feb
Problems 2 and 3
7.
7-Mar
Problems 4 and 5
8.
14-Mar
9.
21-Mar
10.
28-Mar
11.
4-Apr
Problems 8 and 9
12.
11-Apr
Problems 10 and 11
13.
18-Apr
14.
25-Apr
Problem 1
Assignment 4
Problems 6 and 7
Problems 12 and 13
4
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
a,b,f
1, 2
Tests, homework, and
Circuit theory, along with
laboratory reports are
applications, are covered
graded.
in class lectures,
homework, and laboratory
assignments.
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
a,b,f
1, 2
Specific assignments and
applications are provided
laboratory reports.
in class discussion and
instructor developed
manuals, and students will
utilize these applications
in the development of
laboratory reports and
other homework
assignments
Outcome # 3. Students will understand the concepts of frequency analysis, especially Fourier analysis
Strategies & Actions
Criterion 2
Program Outcomes
Assessment Methods
Theory of frequency
a,b,f
2,3
Tests, Homework, and
analysis is covered in
laboratory reports.
class lectures and
homework assignments,
as well as laboratory
assignments.
Outcome # 4. Students will develop better communication skills.
Strategies & Actions
Criterion 2
Program Outcomes
Discussions on
e, f, k
4
applications and concepts
of written
communications and
laboratory reports.
Outcome # 5. Students will develop more proficient problem solving skills.
Strategies & Actions
Criterion 2
Program Outcomes
Lectures in class and
b
2
homework assignments
5
Assessment Methods
Laboratory reports
Assessment Methods
Review of lab notebooks
and laboratory reports.