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:, 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, 3rd 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 - 1st Order RC and RL

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


           6                                                           8.25,36,50                   Lab#7 - 2nd 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