ECE 2054 Lab 10
Passive Filters
The Last Lecture for the Last Lab!
2
Complex Voltage Dividers
The basic voltage divider will produce
Vo = Vi*Z2 / (Z1 + Z2)
Capacitors and inductors change
impedance as the frequency
changes.
This impedance change produc
MTH 279
Ordinary Differential Equations
HW Lebel 6.3: 101, 102, 103
Howell 27.2 a, b, c, 27.4 a, b, c, e, 27.5 a, b, c (integral solution
only, you may omit transfer function and impulse response
function)
Chapter 6 The Laplace
transform
6.3 Convolution
M
MTH 279
Ordinary Differential Equations
HW Lebl 2.4: 101, 102, 103
Howell 17.10, 17.11. You do not need to graph your solution.
Chapter 2 Higher order linear
ODEs
2.4 Mechanical vibrations
MTH 279 2.4
1
Derive the differential equation
which models this:
MTH 279
Ordinary Differential Equations
Chapter 3 Systems of ODEs
HW Lebl 3.4: 101, 102, 103, 104
3.4 Eigenvalue method
For more practice, OPTIONALLY do Schaums Solutions of Linear
Differential Equations with Constant
Coefficients by Matrix Methods 16, 19
MTH 279
Ordinary Differential Equations
HW Lebl 3.1 103
Lebl 3.3: 101, 102, 103, 104
Howell 36.9 a, b, e, h, 37.2
Chapter 3 Systems of ODEs
3.3 Linear systems of ODEs
MTH 279 3.3
1
MTH 279 3.3
2
et c a scalar and let C be a constant matrix.
MTH 279 3.3
3
MTH 279
Ordinary Differential Equations
HW Exercises 2.6: 101, 102, 103.
Chapter 2 Higher order linear
This section has some very important ideas, but the formulas
ODEs
involved are a bit too complicated for typical hw/test purposes .
While doing hw based
MTH 279
Ordinary Differential Equations
Chapter 2 Higher order linear
ODEs
2.2 Constant coefficient second
MTH 279 2.2
order linear ODEs1
HW Lebl 2.2: 101, 102, 103, 104, 105
Howell 16.1, 16.2, 16.3, 19.2 d. You should also do 16.5 for extra
practice, but
MTH 279
Ordinary Differential Equations
Chapter 1 First order ODEs
1.4 5.4, 10.12 a, c, d, e, 10.16, 10.17and the
Linear equations
Howell 5.3,
integrating factor
HW Lebl 1.4: 101, 102, 103, 104 (expect a huge number for the
answer to exercise 104)
MTH 279
MTH 279
Ordinary Differential Equations
Chapter 2 Higher order linear
ODEs
2.1 Second order linear ODEs
HW Lebl 2.1: 101, 102, 103, 104
Howell 19.2 a, b, c
MTH 279 2.1
1
MTH 279 2.1
2
Proof:
MTH 279 2.1
3
The proof becomes even simpler to state if we use
MTH 279
Ordinary Differential Equations
HW Lebl 6.1: 101 Hint: expandThe Laplace Hint: We
104
Chapter 6 (t + 1)2, 102, 103,than integration
will have a method for 103 and 104 that is easier
by parts.
transform
Howell 24.8, 24.6 c, e, g (dont worry too muc
MTH 279
Ordinary Differential Equations
Chapter 6 are both Heaviside problems.)
HW Lebl 6.2: 101, 102 (TheseThe Laplace
Howell 26.2 f, 26.4 b, 26.6 a, b, 26.9 c
transform
6.2 problems are really of derivatives
7 homeworkTransformsnot enough. You should on
ECE 2054 Lab 05
AC Measurements
Using the Oscilloscope and Multimeter
1
You will need:
Multimeter with clip leads
Velleman scope and probe leads
ANDY Board and power supply
10k resistor
wires with the ends stripped
2
A Function Generator produces
time var
ECE 2054 Lab 06
Thevenin Equivalent
Lon Charles Thvenin
1857 - 1926
1
You will need:
Multimeter with clip leads
Velleman scope
Scope 10X Probe (came with scope)
ANDY Board and power supply
Several values of resistors
(there are more 1M in the Special Resi
ECE 2054 Lab 10
Passive Filters Pspice Simulation
Lab Procedure Pspice Tips
2
Build the Band Pass Filter in Pspice
Build the circuit as you did for previous Labs.
Use the VAC for the signal source
Get New Part > VAC > Place & Close
Set the value AC Ma
ECE 2054
Lab 09 Complex Impedance
1
For this lab, you will need:
Oscilloscope
2 scope probe leads and the 10x probe
ANDY Board and power supply
(3) 10, and (1)1k Resistors
0.1F (100nF) Capacitor marked 104
100mH Inductor
Wires for breadboard
2
Complex Z (
ECE 2054 Lab 07
Transformers
1
For this lab, you will need:
Multimeter with clip leads
ANDY Board and power supply
2 Red Transformers*
Resistors
1k, 2.2k, 10k
Wires for breadboard
*or one green transformer if you have an
older kit with a dual winding tra
ECE 2054 Lab 08
RC and RL Transients
For this lab, you will need:
Oscilloscope with clip leads
ANDY Board and power supply
1k Resistors
0.047F (47nF) Capacitor
(marked 2A473J (or 473K, 473L or 473M)
100mH Inductor
Wires for breadboard
Pspice
2
Capacit
Archetypes of Wisdom
Douglas J. Soccio
Chapter 6
The Naturalist: Aristotle
Learning Objectives
On completion of this chapter, you should be able to
answer the following questions:
What is naturalism?
How did Plato distinguish between knowledge and opinion
Archetypes of Wisdom
Douglas J. Soccio
Chapter 4
The Wise Man: Socrates
Learning Objectives
On completion of this chapter, you should be able to
answer the following questions:
What is the Socratic problem?
What is a Paradigmatic Individual?
What is the S
Archetypes of Wisdom
Douglas J. Soccio
Chapter 5
The Philosopher-King: Plato
Learning Objectives
On completion of this chapter, you should be able to
answer the following questions:
What was the Academy? Where did it get its name? What
was its chief purpo
MTH 279
Ordinary Differential Equations
Chapter 2 Higher order linear
ODEs
2.3 Higher order linear ODEs
HW Lebl 2.3: 101, 102, 104, 105
Howell 18.4
MTH 279 2.3
1
Equations that appear in applications tend to be second order.
Higher order equations do appe
MTH 279
Ordinary Differential Equations
Chapter 1 First order ODEs
1.7 Numerical methods: Eulers
method
HW Lebl 1.7: 101, 102, 103. You should make a spreadsheet
which will allow you to easily do these problems. (Lebl problems
RECOMMENDED, but not require
ENGR 3124
Introduction to Green Engineering
2a. Nonrenewable Fossil Fuels
Coal, oil and gas are called fossil fuels, because they are mostly made of the fossil
remains of beings from long ago. The chemical energy within them is a kind of stored
sunlight o
Scott Adams, Dilbert Comic Strip, 2/18/2002 - Dilbert.com
ENGR 3124
Introduction to Green Engineering
Nonrenewable Energy Module:
We made the mistake of lumping nuclear energy in with nuclear weapons, as if all
things nuclear were evil. I think thats as b
ENGR 3124 Introduction to Green Engineering
Spring 2015
Reading Quiz Nonrenewable Energy
Due:
February 5, 2:30 pm
1. In 2013, approximately how much of the US primary energy came from Petroleum according
to the Energy Information Administration (EIA) Annu
ENGR 3124
Introduction to Green Engineering
1. Overview of Green Engineering
Acknowledgements:
The slides in this course were developed collaboratively by Dr.
Sean McGinnis, Dr. Durelle Scott, and Dr. David Dillard.
In-Class Exercise
1.
2.
.
.
You have ju
ENGR 3124
Introduction to Green Engineering
1c. Materials Flows, Wastes, & LCA
Waste is worse than loss. The time is coming when every person
who lays claim to ability will keep the question of waste before him
constantly. The scope of thrift is limitless
People depend utterly on nature to sustain and fulfill human
life, yet the values of nature are typically ignored in decisions.
If properly managed, Earth's lands, waters and their
biodiversity yield a flow of "ecosystem services," including: the
producti
ENGR 3124 Introduction to Green Engineering
Fall 2014
Reading Quiz 1
Due:
Monday, September 1
1. Creating sustainable solutions is multifaceted, and requires engineers to consider a products
entire lifetime. In the Michigan fact sheet, which of these is n