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SI Leader: Steve Naumov
Course:ECE 201: Linear Circuit Analysis
I
Session: Tuesday, 5:00-6:30 p.m, Room:
Gyte 119 and Friday, 12:00-2:30 p.m., Room: POT-213
Office: Friday, 1:30-2:30 p.m, Room POT-213
E-Mail: [email protected]
This page keeps an up-to-date log of the things that happen in the supplemental instruction session for ECE 201
at Purdue University Calumet. Below you will find notes, sample problems, and MATLAB programs that explain
and demonstrate key linear circuit analysis and design ideas, links to other web sites that explain linear
circuit analysis design topics, and other documents that might be pertinent to the SI Sessions (sample
exams, quizzes, worksheets, etc.).
When you are viewing any documents below, you can use your browser's "File -> Save As..." menu
item to save a copy of the file on your computer. It is a good idea for you to experiment with these
examples, as they will help you on your quizzes and/or exams.
Tuesday, December 14
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Here are two practice final exams, one covers the first half of the course, and the other covers the
second half. Good luck with your finals and have a great holiday season!
Tuesday, November 23
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Here is a great site of Java Applets covering all of ECE 201 and part of ECE 202. Great to study from
for upcoming quizzes and your final exam.
Friday, November 18
- Room Change For Tuesday's. Look Above for Information!!
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Today, we discussed for a second time the impedance of an inductor, capacitor, and resistor in the
frequency domain. Since inductors and capacitors's impedance is a function of frequency, both elements
impede current differently at different frequencies.
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We spent time discussing KVL, KCL, impedance of circuit elements, Ohm's Law, and voltage/current divider
in the frequency domain. Emphasis was placed on the fact that a negative impedance implies
a capacitor, and a positive impedance implies an inductor.
- Here is another link to a phasor analysis tutorial w/solutions
Tuesday, November 16
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Today, we began KVL, KCL, impedance, Ohm's Law, and voltage/current divider in the frequency domain. Also, graphs of
impedance vs. frequency for each circuit element were analyzed.
- Here is a tutorial on AC Circuit Analysis (Phasor Analysis)
Friday, November 12
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We started the day noticing some simple facts about how sinusoidal inputs to an electrical network affect the output of the network.
In particular, the frequency of the input sinusoid determined the frequency in which the whole network
will operate in (just find the particular solution to a sinusoidal forcing function of a DE).
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Next, we had a very long discussion about complex mathematics.
The following questions were answered:
- What is a complex number?
- Why and where do they come from?
- How does one represent them graphically?.
- How does Euler and complex mathematics relate?
- What is the rectangular, exponential, and polar form of a complex number?
- How does one add, subtract, multiply, and divide using all three forms?
- What is a complex conjugate?
- Here are some links to tutorials and exercises pertaining to complex numbers
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We also discussed sinusoidal functions and their properties as well as introduced the concept of a
phasor and how it relates to sinusoids.
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The concept of a phasor was also introduced and how it relates to a sinusoidal ( sin() or cos() )
function.
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Here are some interesting links of interactive Java applets that show a phasor relates to a
sinusoidal (sine or cosine) function.
Tuesday, November 9
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Today, we discussed second order differential equations and their
solutions. We discussed the three natural solution types ( under-damped,
over-damped, and critically damped ). We also discovered that finding
the steady state solution ( particular solution ) was the same as
in first order systems.
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We then applied this information to electrical circuits with Resistors, Caps, and Inductors
(R-L-C Circuits). Emphasis was placed on what controls the natural response and the physical meaning
of each response.
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Again, here is the link to the Course on Differential Equations.
Friday, November 5
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Today, we finished our discussion about how to solve R-L circuits and began discussing R-C circuits.
In particular, we graphed the waveform of the desired quantity and distinguished between the natural
response "state" and the steady "state.". Once again, emphasis was placed the
meaning of the time constant.
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Again, here is the tutorial on R-L and R-C Electrical Networks
Tuesday, November 2
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Today, we finished discussing the topics the different types of
responses of first order, constant coefficient, linear differential
equations. We then began discussing how to apply those techniques
to R-L circuits. We placed special emphasis on the time constant,
the output waveform shape, and the distinction between the natural
response "state" and the steady "state."
- Here is another tutorial for both first order systems
Friday, October 29
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Today, we took some time to discuss the exponential function and the importance of the "time
constant." We then discussed what a differential equation is as well as some ways to classify
them. After, we focused on how to solve a particular differential equation, namely, the First Order,
Ordinary, Linear, Constant Coefficient, Differential Equation. We then solved some practice equations
and graphed them, trying to understand the terms {homogeneous, natural, transient} response as well as
{ particular, steady state, step} responses and where to identify them in the graph of the solution
of a differential equation.
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Here is a link to an very good DIFFERENTIAL EQUATIONS notes site
- Here is the tutorial on First Order Transient Circuit Analysis
Tuesday, October 26
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Today, we talked about series and parallel combinations of inductors
and capacitors and their initial currents and voltages. In summary,
inductors combine like resistors and capacitors combine opposite
resistors.
Friday, October 22
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Today, we began discussing the other two elements that we will
use this semester, namely the inductor and capacitor. The inductor's
voltage and current characteristics were considered as well as its
power and energy consumption. The capacitor was left as a "on
your own" exercise as its equations are very similar to the
inductor.
- Here is a link to the Inductor and Capacitor Tutorial
Tuesday, October 19
- Today, we discussed design considerations with op-amps and covered
a number of simple design problems involving the basic op amp configurations.
Friday, October 15
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Today, we touched on the terminal and physical characteristics
of the op-amp. We also discussed all of the typical configurations
with resistors, namely the inverting and non-inverting configurations,
the "voltage follower", the weighted summer, and the differential
amplifier configuration. We discussed the idea of voltage gain as
it pertains to the op-amp.
- Here is a link to the Operational Amplifier Tutorial
Tuesday, October 12
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Today, we continued our discussion on the third case of Norton and Thevenin Theorems: A Circuit Network
with Only Dependant Sources. We barely touched on the basics of OP-Amps
Friday, October 8
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Here is another link to practice with Thevenin and Norton Theorems.
Treat the CAPACITORS as the LOADS, i.e. The terminals of where the capacitor plugs into are the
terminals you plug ANLY LOAD into
.
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Today we finished discussing Case 1 for Thevenin's Theorem, A
Circuit Network with ONLY Independent Sources. We completed two
more examples and went on to the 2nd Case for Thevenin's Theorem,
A Circuit Network with BOTH Independent and Dependant Sources and
we completed two examples from within Chapter 4 of the text.
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Again, no worksheet today, sorry. Still recuperating from a exam
filled week! I hope to be back on track by next week!
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We held a "free be" session yesterday in the lecture
room since professor Kozel was not in. For those who attended, we
again reviewed the practical importance of Thevenin and Norton Theorems
and we looked at problem 4.16 within Chapter 4 in your textbook.
Tuesday, October 5
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In today's session, we continued discussing practical sources
and did more examples where source transformation played a role
in a simplifying the analysis of the circuit. We also touched on
the practical importance of Thevenin and Norton's Theorems.
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Sorry, I have been busy and have not been able to make up any
worksheets. I will try to catch up soon!
Friday, October 1
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Today we discussed both practical sources, i.e. voltage (Thevenin)
sources and current (Norton) sources. We discussed their importance
in modeling real world power supplies and how to use the technique
of source transformation in the analysis of linear circuits.
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There is no tutorial on source transformations, however, since
Thevenin, Norton, &Maximum Power Transfer Theorems are very
closely related, I am posting the tutorials for the above topics
early. The links are below.
Tuesday, September 28
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Today we finished discussing Nodal Analysis by going over the
Mock Quiz. After, we briefly went over the Superposition Principle
Exercise worksheet since it is a simple concept to grasp. We ended
with an introduction to concept of practical sources and the source
transformations.
- Here is the link to the Superposition interactive tutorial
- Below is the link to the next exercise on the superposition principle.
- Here is the mock quick on Nodal Analysis. Please do not attempt it until the session.
Friday, September 24
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Today we discussed Nodal analysis in great deal, completing Exercise 4: Nodal Analysis below.
In the exercise, we discovered tips and trips to remember when using the Node Voltage Method as well as
how to handle voltage sources connected to ground(reference node) as well as not connected to
ground (reference node).
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Below is the practice worksheet (not focused on design) for nodal analysis. Please print this before
tomorrow's session.
- Here is the link to the Nodal Analysis interactive tutorial.
Tuesday, September 21
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In today's session, we examined how to solve a matrix equation on our TI calculators. After
"playing" around with matrices, we capped our discussion on the Mesh Current Method by taking a
mock practice quiz involving a "SUPER DUPER" mesh. We finished with an intro to the Node Voltage
Method.
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Below is a link to a website that explains how to enter matrices in the TI calculator series. Depending
on your calculator model, please review these methods before today's session
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Below is a link to some example programs that illustrate how to use MATLAB to solve a circuit using
Mesh Analysis.
Friday, September 17
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Today, we started discussing the Mesh Current Method and did some examples. Below is a link to some key
points to remember when applying the Mesh Current method.
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There is no design worksheet yet, since Mesh Analysis still has not been talked about in the session. In
the meantime, here is a link to the Mesh Analysis interactive tutorial.
Tuesday, September 14
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Below is the design worksheet for Chapter 3: Simple Resistive Circuits. Please print it before the next
session.
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Today we continued discussing topics from Chapter 3: Simple Resistive Circuits. Topics included Voltage
and Current Division, Short and Open Circuits, and Series and Parallel Combination of Circuits,
and Equivalent Resistance of Circuits with Dependant Sources.
Friday, September 10
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Today we discussed a combination of ideas from Chapter 2: Circuit Elements and Chapter 3: Simple
Resistive Circuits. Topics include: Independent & Dependant Sources, KVL & KCL, Resistors,
Ohm's Law, Power for Resistors, and Internal Source Resistance, Series and Parallel Connections,
& Voltage and Current Division.
- The problems we worked with from the 6/e of the text are the following: 2.2, 2.13, 2.29
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Below is the design worksheet for Chapter 2: Circuit Elements. In today's session, we discussed the
following problems: 2, & 3.
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Since time is limited, I suggest looking at the following interactive tutorials to get a different
prospective of the topics we have covered thus far.
Tuesday, September 7
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Today we covered numerous ideas from Chapter 1: Circuit Variables. Topics include: Current and Charge,
Voltage, Power and Energy, Passive Sign Convention, and Design Considerations.
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Below is the design worksheet for Chapter 2. We did not cover much of this worksheet in the session due
to time constraints. If you have any questions, we can discuss them in subsequent sessions.
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Here is a link to another textbook's web site that has interactive
tutorials on circuit analysis. We will be visiting this site from
time to time in the SI sessions, as soon as I receive a permanent
classroom with a computer.
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Below is the link to out textbook's web site as well as a Supplemental
Instruction Information sheet for those of you who are interested
in a more detailed explanation of the program at Purdue University
Calumet.
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