Syllabus for ENGR065-01: Circuit Theory
Spring 2012
Instructor: Vesselin Gueorguiev
Designation:
Catalog Description:
Text Books and Other
Required Materials:
Course Objectives/
Student Learning
Outcomes:
ENGR 65 : Circuit Theory
The course has been designed to introduce fundamental principles of circuit theory
commonly used in engineering research and science applications. Techniques and
principles of electrical circuit analysis including basic concepts such as voltage, current,
resistance, impedance, Ohm's and Kirchoff's law; basic electric circuit analysis
techniques, resistive circuits, transient and steady-state responses of RLC circuits; circuits
with DC and sinusoidal sources, steady-state power and three-phase balanced systems,
including Laplace and Fourier transforms applications for solving circuit problems.
Author: J. W. Nilsson and S. Riedel
Title: Electric Circuits, 9/E with MasteringEngineering online tool.
Edition/Copyright: 9/E
Published Date: 2011
Publisher: Pearson-Prentice Hall
ISBN: 9780132845649
Each student should have his/her personal Clicker !
.
To develop problem solving skills and understanding of circuit theory through the
application of techniques and principles of electrical circuit analysis to common circuit
problems.
Course Goals:
1. To develop an understanding of the fundamental laws and elements of electric circuits.
2. To learn the energy properties of electric elements and the techniques to measure
voltage and current.
3. To understand waveforms, signals, and transient, and steady-state responses of RLC
circuits.
4. To develop the ability to apply circuit analysis to DC and AC circuits.
5. To understand advanced mathematical methods such as Laplace and Fourier transforms
along with linear algebra and differential equations techniques for solving circuits
problems.
Learning Outcomes:
1. To be able to understand basic electrical properties
2. To be able to analyze electrical circuits
3. To be able to find circuit response using Laplace transform
4. To understand signal superposition and Fourier transform
Prerequisites by Topic: Introductory Physics (PHYS 9 / PHYS 19 or equivalent);
Linear Algebra and Differential Equations (MATH 24 or equivalent)
Course Policies:
Academic Dishonesty
Statement:
Disability Statement:
Topics:
1. NO CELL PHONES are allowed during lecture. 2. Be on time to class. Tardy is
discouraged. 3. No late assignments will be accepted. Medical or family emergency will
be considered on case-by-case basis. 4. No make-up exams/quizzes. If you miss the
exam, a zero score will be assigned to the missed exam/quiz. No electronic devices other
than a calculator will be allowed. 5. If you miss a class due to personal emergency or
medical reasons, please be sure to inform the instructor by e-mail. 6. Homework
assignments are to be submitted by the due date. You should keep a record of your
homework in HW notebooks or HW binder and be ready to present it upon request. You
may discuss homework problems with your classmates, but you are responsible for your
own works. 7. You are encouraged to read the sections in the textbooks related to the
covered topics prior to the lecture as well as after. 8. Each student should use only his/her
own clicker for quizzes. 9. After an assignment grade has been posted online, students
must see the instructor within one week if they wish to discuss the assignment and their
work. 10. University's rules on academic honesty concerning exams and individual
assignments will be strictly enforced. See UC Conduct Standards:
http://studentlife.ucmerced.edu/what-we-do/student-judicial-affairs/uc-conduct-standards
a. Each student in this course is expected to abide by the University of California,
Merced's Academic Honesty Policy. Any work submitted by a student in this course for
academic credit will be the student's own work.
b. You are encouraged to study together and to discuss information and concepts covered
in lecture and the sections with other students. You can give "consulting" help to or
receive "consulting" help from such students. However, this permissible cooperation
should never involve one student having possession of a copy of all or part of work done
by someone else, in the form of an e mail, an e mail attachment file, a diskette, or a hard
copy. Should copying occur, both the student who copied work from another student and
the student who gave material to be copied will both automatically receive a zero for the
assignment. Penalty for violation of this Policy can also be extended to include failure of
the course and University disciplinary action.
c. During examinations, you must do your own work. Talking or discussion is not
permitted during the examinations, nor may you compare papers, copy from others, or
collaborate in any way. Any collaborative behavior during the examinations will result in
failure of the exam, and may lead to failure of the course and University disciplinary
action.
Accommodations for Students with Disabilities: The University of California Merced is
committed to ensuring equal academic opportunities and inclusion for students with
disabilities based on the principles of independent living, accessible universal design and
diversity. I am available to discuss appropriate academic accommodations that may be
required for student with disabilities. Requests for academic accommodations are to be
made during the first three weeks of the semester, except for unusual circumstances.
Students are encouraged to register with Disability Services Center to verify their
eligibility for appropriate accommodations.
CIRCUIT PARAMETERS AND FUNDAMENTAL LAWS I
Electric charge. Coulomb’s law. Electric work. Potential. Potential difference. Electric
current. Power. Energy. Resistance. Resistivity. Ohm’s law. Kirchoff’s law. Branch.
Node. Mesh. Circuit elements in series. Circuit elements in parallel.
CIRCUIT PARAMETERS AND FUNDAMENTAL LAWS II
Ideal current source. Ideal Voltage generator. Internal resistance. Mesh current method.
Node voltage method. Thevenin’s theorem. Norton’s theorem. Superposition’s theorem.
Capacity. Inductors. Electromagnetic flux.
INSTRUMENTS
The voltmeter. Internal resistance. The galvanometer. Internal resistance. The Ohmmeter.
The Wheatstone bridge. The impedance bridge.
COMPLEX IMPEDANCE and ADMITTANCE
Resistance. Phasorial notation. Capacitive and inductive reactance. Impedance.
Conductance. Capacitive and inductive susceptance. Admittance. Series and parallel
equivalent circuit. RLC series and parallel circuits.
CIRCUITS TRANSIENT RESPONSE. ODE
RC, RL and RLC circuits. Time constant. Step and impulse response. Transient response.
CIRCUITS TRANSIENT RESPONSE. LAPLACE TRANSFORM
The Laplace’s transform . Initial value theorem and final value theorem. Studying
transient phenomena with the Laplace transform. Circuit analysis in the s (complex
variable) domain.
Resonance. Frequency response. Cutoff frequency. Pole. Zero. Low-pass filter. High-pass
filter.
WAVEFORMS AND SIGNALS
Periodic and non-periodic signals. Heavyside function. Impulse function. Ramp function.
Triangular function. Peak value. Average value. Effective value (RMS). Sinusoidal and
co-sinusoidal signals. Euler’s expression. Generic harmonic signal. Amplitude and phase.
Class/laboratory
Schedule:
Midterm/Final Exam
Schedule:
Course Calendar:
Professional
Component:
THE FOURIER TRANSFORM
Fourier’s trigonometric series. Polar form of Fourier’s. Amplitude spectrum and phase
spectrum. Application to linear circuits. The Fourier’s integral. The Fourier’s transform.
Lectures: M W F 4:30-5:20pm, Room - CLSSRM 113
Quizzes, two midterm exams, and final exam
Time and Date: TBA
Week.Dates: Topics and Comments [Reading Ch.#] Note classes are M W F.
No class on Martin Luther King Jr. Holiday (Monday, Jan 16)
w1. Jan 18&20: Circuit Variables: Voltage, Current, Energy, and Power Balance [1]
w2. Jan 23-27: Circuit Theory, Power Sources; Fundamental Laws [2]
w3. 1/30-2/03: Resistive Circuits: Connecting Resistors; Measuring V, I, & R [3]
w4. Feb 06-10: Circuit Analysis: Node-Voltage and Mesh-Current Methods [4]
w5. Feb 13-17: Circuit Analysis: Power Sources and Transformation Methods [4]
w6. Feb 20: No class on Presidents Day Holiday
w6. Feb 22-24: Inductance and Capacitance [6]; EXAM #1
w7. 02/27-03/02: Inductance, Capacitance, and Mutual Inductance [6]
w8. Mar 05-09: Natural Response of RL & RC Circuits [7]
w9. Mar 12-16: Step Responses of RL, RC, and RLC Circuits [8]
w10. Mar 19-23: Sinusoidal Steady-State Analysis - The Phasor & Transformers [9]
w11. Mar 26-30: Spring Recess & Cesar Chavez Holiday.
w12. Apr 02-06: Sinusoidal Steady-State Power Calculations - AC circuit [10]
w13: Apr 09-13: Introduction to the Laplace Transform (LT) [12]; EXAM #2
w14: Apr 16-20: Circuit Analysis with LT - s Domain & Transfer Function [13]
w15: Apr 23-27: Frequency Selective Circuits: Low, High, and Band Filters [14]
w16: 04/30-05/04: Fourier Series and Fourier Transform (FT) [16,17]
w17. May 11: FINAL EXAMINATION (3:00-6:00pm)
Experimental Methodology, Engineering Science.
Engineering fundamentals: 75%
Engineering applications: 25%
Assessment/Grading
Policy:
Grading Scheme:
Quizzes (10%)
Homework (20%)
Two Midterms (40%)
Final exam (30%)
Grade Distribution
Grade Total Scores (%)
A+ 99 - 100
A 95 - 99
A- 90 - 94
B+ 87 - 89
B 83 - 86
B- 80 - 82
C+ 77 - 79
C 73 - 76
C- 70 - 72
D+ 67 - 69
D 63 - 66
D- 60 - 62
F < 60
Coordinator:
Contact Information:
Office Hours:
Instructor: Vesselin Gueorguiev, Ph.D.
Office: 126 Academic Office Annex, Ph: (209) 228-3033.
E-mail: VGueorguiev@UCMerced.edu (UCMCROPS Messages preferred)
Teaching Assistant (TA): Anley Tefera
E-mail: ATefera@UCMerced.edu (UCMCROPS Messages preferred)
Office Hours: M W 6:00pm - 7:00pm
Office Hours Location:
Room 126 in the Academic Office Annex
TA Office Hours: TBA