Andrews University

College of Technology

Engineering and Computer Science Department

ENGR225 Circuit Analysis

Syllabus - Fall 2007

**Instructor:** Ronald L. Johnson

**Office:** Haughey Hall - HYH330

**Office Hours:** MWF at 9:30-10:20, MWR at 2:30-3:15

**Contact Info:** johnsonr@andrews.edu,
office 471-3368, home 683-7418

**Class Location: **HYH321

**Class Time:** 8:30-9:20 TR with Lab 3:30-6:15 W

**Course Description:** This course is an engineering core course. The course covers DC resistive circuit
analysis, inductive and capacitive circuit components, the transient analysis
of RC, RL, and RLC circuits, phasor and complex impedance techniques for
steady-state AC circuits, and the concepts of complex AC power. This is a 3 credit course with 2 one-hour
lectures and a three-hour lab each week.

**Course Prerequisites: **MATH142 Calculus II is a corequisite.

**Text:**
Alexander and Sadiku, __Fundamentals of Electric Circuits, 3 ^{rd}
Edition__, McGraw-Hill, 2007

**Course Outline:**

A. Ch. 1 -
Basic Concepts ½ week

B. Ch. 2 -
Basic Laws 1½ weeks

C. Ch. 3 -
Methods of Analysis 1½
weeks

D. Ch. 4 -
Circuit Theorems 1½
weeks

E. Ch. 5 -
Operational Amplifiers 1½
weeks

F. Ch. 6 - Capacitors and Inductors 1 week

G. Ch. 7 - First-Order Circuits 1½
weeks

H. Ch. 8 -
Second-Order Circuits 1
week

I. Ch. 9 -
Sinusoids and Phasors 1½
weeks

J. Ch. 10 - Sinusoidal Steady-State Analysis 1
week

K. Ch. 11 - AC Power Analysis 1
week

**Course Objectives:** Upon successful completion of this course the student
is expected to have demonstrated these outcomes:

A.
Units, Electrical Quantities, and Circuit Elements

1. Know the SI system of units and prefixes.

2. Define and relate the electrical quantities
of charge, current, voltage, power, and energy.

3. Identify and sketch the symbols for voltage
and current supply circuit elements.

B.
Laws of Circuit Analysis

1. Define, show the circuit symbol, and give the
units for the electrical property of resistance/conductance.

2. Express Ohm’s Law and be able to apply it.

3. Define and identify nodes, branches, and
loops in a circuit.

4. Express Kirchhoff’s Laws and be able to apply
them in a circuit.

5. Write and apply the voltage divider rule in a
series circuit. Repeat for the current
divider rule in a parallel circuit.

6. Be able to apply the
wye-delta transformations to change a circuit and make it easier to solve.

C. Nodal and Mesh Analysis Methods

1. Demonstrate ability to solve for voltages and
currents in a circuit using nodal analysis and mesh analysis techniques.

D. Other Circuit Analysis Techniques

1. Define a linear circuit and demonstrate the
analysis technique of superposition.

2. Demonstrate ability to make voltage source to
current source transformations and visa versa.

3. State Thevenin’s and Norton’s
Theorems and apply these theorems to linear circuits.

4. State the conditions for maximum power
transfer to a load and be able to calculate this power.

E. Operational Amplifiers

1. State the simplifying assumptions that allow
ideal op-amp circuits to be easily analyzed.

2. Relate these assumptions to the
characteristics of a real op-amp (741).

3. Be able to sketch the circuit, compute the
gain, and calculate the input resistance for these op-amp circuits -
non-inverting, voltage follower, inverting, summing, and differential
amplifiers.

4. Be able to analyze
op-amp circuits and design op-amp circuits to specifications.

F. Capacitors and Inductors

1. For capacitors and inductors be able to
describe their physical geometry, write the equation for capacitance or
inductance in terms of this geometry, sketch the symbol, give the units, write
the equation for their V/I relationship, indicate how
they combine in series and parallel, and calculate their stored energy.

2. Be able to sketch the
circuit and compute the gain for an op-amp integrator and differentiator.

G. Transient Analysis in First-Order RC or RL
Circuits

1. Be able to write the
differential equation for the voltage or current in an RC or RL circuit

2. Be able to solve the
first-order D.E. with the initial conditions to find these voltages/currents as
a function of time.

3. Define and be able to apply singularity
functions (impulse, step, ramp).

4. Demonstrate ability to find the initial
conditions (initial current through an inductor and initial voltage on a
capacitor) and then to find the step response of an RC or RL circuit

H. Transient Analysis in Second-Order Circuits
(RLC, RCC, RLL)

1. Be able to find the
initial values of voltage on the capacitors and current through the inductors.

2. Be able to write and
solve the differential equation for these circuits.

3. Explain how the solution to the D.E. can have
three different types of response, show the mathematical form of these
responses, and describe the different transient waveforms with a sketch.

I. Sinusoids and Their Corresponding Phasors

1. Relate the amplitude, frequency, and phase of
a sinusoidal waveform to its corresponding phasor.

2. Be able to add,
subtract, multiply, and divide and find the conjugate of complex numbers.

3. Know Euler’s identity and how it relates
sinusoids and phasors.

4. Write the phasor relationships between
voltage and current for resistors, capacitors, and inductors.

5. Write the expressions for the complex
impedance for resistors, capacitors, and inductors and indicate how these
impedances combine in series and parallel.

J. Steady-State Sinusoidal Analysis Using
Phasors and Complex Impedances

1. Be able to convert
the sources and components of a sinusoidally excited circuit in steady-state to
phasors and complex impedances.

2. Demonstrate ability to solve for circuit
voltages and currents in steady-state sinusoidal circuits using the methods of
nodal analysis, mesh analysis, superposition, source transformations, and
Thevenin’s/Norton’s equivalent circuits.

K. Complex AC Power Analysis

1. Define and be able to calculate instantaneous
and average power.

2. Show the equations for average power and be
able to use them in an ac circuit.

3. Define the condition for maximum power transfer
to a load in an ac circuit and find this power. 4. Define and be able to calculate the effective
or rms value of a periodic waveform.

5. Define apparent power and power factor.

6. Sketch and label the complex power triangle
and demonstrate how it can be used to analyze ac circuits and to achieve power
factor correction (move toward unity power factor).

**Course Procedures:** Some of the course procedures that we will be
following are listed below.

*Attendance*–You are expected to attend each class and participate
in the class and lab activities conducted, and this will be the basis for a
portion of the final grade. Assignments
for individual or group presentations at the next class will at times be given. Successful presentations of these assignments
will be a part of the attendance grade for the class.

*Intellectual
Honesty– *Any work that you submit is
expected to be your work and not something that you have “borrowed” from
others. I encourage you to collaborate
in your work, but not to copy the work of others. On exams I expect that you will follow the
exam instructions carefully and not use materials other than those
specified. Deviation from these
expectations may result in a failing grade on the assignment or even for the
class. For further information on the
issue of academic integrity see the Academic Integrity section of the Bulletin
on page 28 and the corresponding section in the Student Handbook.

*E-mail
Contact–*I welcome your questions via
e-mail and will suggest that you check your e-mail between class sessions for
further clarification of assignments or tips that may help you do the
homework. Be sure that you are
“connected”!

*Homework*-- Questions and problems at the end of the chapters
will be assigned in class and will be expected to be handed in at the __beginning__
of the next class period unless otherwise indicated. If you have trouble with
the homework, I will try to be of assistance via e-mail or by phone or in
person in the office. Late papers may not
be accepted.

*Laboratory*–Laboratory project outlines will be given out each
week. You will be expected to complete
each of these projects. For each project
you will hand in a report with these elements: A) a description of the project,
its objectives, and the steps that you went through to complete it, B) lists of laboratory equipment used and
schematics of circuits you put together, C) documentation of results of the
tests you conducted including labeled waveforms and tables of measurements, and
D) a summary of your results with your comments on what the results mean and
how you were able to meet the objectives of the project. During the first lab period an outline of a
suitable engineering lab report will be reviewed and a template presented to
aid you in writing these reports.

*Exams*–Exams will be announced at least a week in advance
and will emphasize the material covered since the last exam. Refer to the course objectives to know what
you will be expected to do. It should
be recognized that the material at each stage builds on the previously covered
material so in that sense each exam will cover all of the previous material.

*Students with
Disabilities–*Andrews University accepts and appreciates diversity in its students,
including students with disabilities. Accordingly, students with documented
disabilities are encouraged to inform the University of their disability and enter into a dialogue regarding ways in which
the university might reasonably accommodate them. If you qualify for
accommodations under the Americans with Disabilities Act, please see the
instructor as soon as possible for referral and assistance in arranging such
accommodations.

**Course Grading Procedures:** The final grades will be computed by weighting the
total scores on your attendance, your daily homework and reading assignments,
your laboratory assignment reports, and your exams by the factors indicated and
then comparing your overall percentage with the scale shown.

**Weighting factors: Grading
Scale:**

Attendance/Participation 10% 90
- 100% A

Homework 20% 80 - 89% B

Lab project reports 20% 70 - 79% C

Exams 50% 60 - 69% D

< 60% F

**Program
Mission and Objectives:**

We
aspire to be a place of choice for engineering and computer science education
where dedicated students and faculty grow together to reach their God-given
potential for service to society and the church. We embrace a thoughtful respect for diversity
of viewpoints, a caring stewardship for our God-given home, a marked excellence
in our chosen vocations, and a profound faith in the leadership
of God in our lives. We commit ourselves
to the creation of a nurturing environment where all students willing to work
diligently will succeed.

Our students are challenged:

I.
To identify,
formulate, and solve engineering and computing problems, and to design and
carry out experiments that will support these solutions,

II.
To apply the
theories of science, mathematics, engineering, and computing in order to
creatively design practical and economical solutions to defined problems,

III.
To work
effectively in teams with other disciplines to generate design solutions that are sensitive to societal values and environmental
impact.

IV.
To develop broad
competencies and focused proficiencies in their chosen discipline and to
demonstrate skills in the use of modern engineering and computing tools,

V.
To advance in
their disciplines through research and internships, to address contemporary issues, and to adopt the
practice of life-long learning,

VI.
To practice
critical thinking and effective communication,

VII.
To demonstrate
high professional and ethical values in their work,

VIII.
To achieve a
well-rounded, Christ-centered life perspective through the integration of the
entire curriculum.

**Relationship Between Course Objectives and Program Outcomes: **This course is part of the process of ensuring
Andrews University engineering graduates:

1.
Possess an
ability to design and conduct experiments, and to analyze and interpret data.

2.
Possess an
ability to identify, formulate, and solve engineering problems in both
individual and team environments, particularly in the design of a system,
component, or process to meet desired needs.

3.
Possess an
ability to apply knowledge of mathematics, science, and engineering.

4.
Possess an
ability to use the techniques, skills, and modern engineering tools necessary
for engineering practice.

5.
Have knowledge of
contemporary issues in electrical and computer engineering, and mechanical
engineering; and a broad education necessary to understand the impact of
engineering solutions in a societal and global context.

6.
Recognize the
need for and an ability to engage in life-long learning and the importance of
professional licensure.

7.
Communicate
effectively, both orally and in writing, and both individually and as members
of multi-disciplinary teams.

8.
Possess an
understanding of professional ethical responsibility.

9.
Possess a
well-rounded, Christ-centered life perspective through the integration of the
entire Andrews University curriculum.

Program outcomes 1, 2, 3, 4, 5, and 7 are particularly addressed in
this course.

**ENGR225 Circuit**** Analysis**

Fall 2007

__Date__ __Chapter__ __Problems__ __Lab (W 3:30-6:15)__

Aug 28 1-Basic Concepts 1.6,8,13,25 Lab procedure overview

30 2-Basic Laws 2.2,7,8,12

Sept 4 2.19,34,40,46 Lab#1 - Equipment, Voltage,

6 2.35,45,51 Current, and Resistance

11 3-Methods
of Analysis 3.18,22,25 **Exam #1** - Chapters 1
& 2

13 3.35,41,44

18 3.49,52,56 Lab #2 - Circuit Analysis and

20 4-Circuit Theorems 4.5,9,22,27 Design with Measurements

25 4.45,56,59,64 Lab #3 - Circuit Theorems

27 4.67,71,82 Explored Experimentally

Oct 2 5-Operational
Amplifiers 5.5,13,14 **Exam #2** - Chapters 3
& 4

4 5.17,26,30,37

9 **Fall
Recess** Lab#4
- Application of

11 5.52,56,67 Op-Amp Circuits

16 6-Capacitors and Inductors 6.1,6,11,17,26 Lab#5 - Capacitors and

18 6.34,49,61,68,74 Inductors

23 7-First-Order
Circuits 7.5,9 ** Exam #3** - Chapters 5 & 6

25 7.12,17,26

30 7.39,45,59 Lab#6 - 1^{st} Order
RC and RL

Nov 1 8-Second-Order Circuits 8.3,9,14 Circuits

6 8.25,36,50 Lab#7 - 2^{nd} Order
RLC

8 9-Sinusoids and Phasors 9.1,6,9,16,18 Circuits

13 9.25,31,35,38(b)** Exam
#4** - Chapters 7 & 8

15 9.46,51,65,67

20 10-Sinusoidal Steady-State 10.7,13,29 No lab - Thanksgiving

22 **Thanksgiving
Recess**

27 10.43,57,79 Lab#8 - AC Measurements in

29 11-AC Power Analysis 11.5,7,13,23 RLC Circuits

Dec 4 11.41,47,61,73 Lab#9 - AC Power Meas. &

6 Review for Final Exam Power Factor Correction

13** Final
Exam** (Thursday 7:30-9:30 a.m.) - Emphasis on Chapters 9-11