Dr. R. Rockland
Spring, 2010
ECET 300 - 002, Circuit Analysis - Transform Methods
CLASS HOURS
Monday
Wednesday
02:30PM – 03:55PM
08:30AM – 09:55AM
FMH 321
FMH 321
OFFICE HOURS (GITC 2103)
Tuesday
Wednesday
01:00PM – 02:30 PM
10:00 AM – 11:00 AM
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
All files, videos and assignments will be found on http://moodle.njit.edu. You will need to login, using your UCID
username and password. You can download the syllabus and review your grades, and I will create discussion groups on
various topics. I will go over Moodle during the first class. I will be creating a series of short videos on learning objects
within the course. You will also be able these at the ECET 300 portion of http://itunes.njit.edu .
To get a CD of Matlab, you can download it from http://ist.njit.edu/software/download.php or obtain it from the library. It
is a very large download (almost 1 GB) so if you want to download this program, you should do it from the PC mall. If you
have a high speed connection at home, you will need VPN. Make sure that you follow the instructions to download and
install Matlab. You will also need the PLP code – that is the code for installation. You should be downloading the
Mathworks MATLAB 2009b Student Edition – Windows (unless you have a MAC). Go to
http://ist.njit.edu/software/az.php
Students in this course will be using National Instruments Multisim version 10.1. Those students that were in my ECET 303
class have the software, and I will be handing out copies to the other students for this semester.
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
1.
Week of
Homework
Reading
20-Jan
Topics
Appendix A
Introduction to course
Complex Numbers
(Wed only)
2.
25-Jan
2: 1, 25, 33, 35
pgs. 7-40
Elementary Functions, Addition of
Sinusoids, Shifted Functions
3.
1-Feb
2: 53, 61, 71, 75
pgs. 43-53
4.
8-Feb
3: 19, 23
Chapter 3 - overview
15-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)
5.
Introduction to Laplace Transforms
6.
22-Feb
5: 19, 21, 25, 37, 47
pgs. 169-191
Inverse Laplace Transforms
7.
1-Mar
6: 1, 5, 11, 13
pgs. 207-221
Circuit Analysis by Laplace
Transforms
8.
8-Mar
6: 31, 43, 51
pgs. 221-236
Circuit Analysis by Laplace
Transforms (cont.)
Test 2 (Wednesday)
9.
15-Mar
SPRING RECESS
10.
22-Mar
7: 1, 3, 7, 21
pgs. 251-270
System Considerations
11.
29-Mar
7: 31, 35, 37, 41
pgs. 271-290
System Considerations (cont.)
12.
5-Apr
8:7,17
pgs. 311-341
Sinusoidal Steady State
Bode Plots (Part 1)
13.
12-Apr
9: 1, 5
pgs. 341-348
Bode Plots (Part 2)
Test 3 (Wednesday)
14.
19-Apr
15.
26-Apr
16.
3-May
(Mon 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. Therefore, there will be no makeup exams. If
you achieve the equivalent of an A for all three tests, you will not be excused from the final. Students achieving the
equivalent of 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 Multisim assignments and MATLAB
assignments) is due the week following the date they are assigned (see syllabus), and must be given to the instructor.
Note the bolding and underlining – can I emphasize any more that doing homework is important. 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
(Multism) can be handed in as a team of no more than three students, rotating among each member. You don’t have to be a
member of a team. Lab grades will be reduced by 10 points if one week late, and not graded if more than two weeks late.
MATLAB assignments must also be handed in individually, and is subject to the same time deadlines, and grading, as
regular homework (will not be accepted after being more than one week late).
SOFTWARE ASSIGNMENTS
To help reinforce the textbook concepts, there are two workbooks for these applications – Matlab and Multisim. There is a
separate Multisim 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 (Multisim) 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 Multisim, 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 Multisim. 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.
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
MODIFICATION OF COURSE
The Course Outline may be modified at the discretion of the instructor or in the event of extenuating circumstances.
Students will be notified in class of any changes to the Course outline.
HONOR CODE AND BEHAVIOR
NJIT has a zero-tolerance policy regarding cheating of any kind and student behavior that is disruptive to a learning
environment. Any incidents will be immediately reported to the Dean of Students. In the cases the Honor Code violations
are detected, the punishments range from a minimum of failure in the course plus disciplinary probation up to expulsion
from NJIT with notations on students' permanent record. Avoid situations where honorable behavior could be
misinterpreted. For more information on the honor code, go to http://www.njit.edu/academics/honorcode.php
No eating or drinking is allowed at the lectures – get here early enough to finish up breakfast. Cellular phones must be
turned off during the class hours, or if you are expecting an emergency call, put it on vibrate. No headphones can be worn
in class. Also, class will begin on time, and there may be quizzes during the first 5-10 minutes of the class.
Also, one other behavior item – asking questions. Don’t be shy regarding asking questions during class, and don’t be shy
about answering questions, even if you are not sure about the answer. The only way you learn is by making mistakes, and
realizing how to avoid them.
MULTISIM 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 WebCT page. 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. Rather than give you a large number of examples, I have identified the assignments that are
critical, and have bolded them. These assignments must be handed in, according to the above mentioned deadline. The
other assignments are optional, although I would encourage you to try them on your own. I will not grade these
assignments.
4
Week
Date
Multisim Reports
MATLAB Assignments
1.
25-Jan
Assignment 1
2.
1-Feb
Assignment 2
3.
8-Feb
Assignment 3
4.
15-Feb
5.
22-Feb
6.
1-Mar
Problems 2 and 3
7.
8-Mar
Problems 4 and 5
8.
15-Mar
9.
22-Mar
10.
29-Mar
11.
5-Apr
Problems 8 and 9
12.
12-Apr
Problems 10 and 11
13.
19-Apr
14.
26-Apr
Problem 1
Assignment 4
Problems 6 and 7
Problems 12 and 13
5
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
6
Assessment Methods
Laboratory reports
Assessment Methods
Review of lab notebooks
and laboratory reports.