ECE 381 Introductory Electromagnetics Spring Semester 2006 Instructor: Office: Lectures: Location: Office Hours: Prof. D. F. Geraghty ECE 503, 626-7955 MWF 12:00-12:50 Harvill 302 MW 2:00-3:00
2003-2004 Catalog Data: ECE 381 - Introductory Electromagnetics (3 units) Electrostatic and magnetostatic fields; Maxwell's equations; introduction to plane waves, transmission lines, and sources. REQUIRED TEXT : Applied Electromagnetics, F.T. Ulaby, 2004 Media Edition, Prentice Hall, 2004. ISBN 0-13-185089-X. PREREQUISITES : MATH 322 Competence with vector calculus is recommended and expected. GRADING : Homework will be assigned weekly, but will not be collected or graded. Graded work will include four exams. The following weights will be used to determine your point total: Exam 1 Exam 2 Exam 3 Final Exam Feb. 13 Harvill 302 12-1 March 22 Harvill 302 12-1 April 24 Harvill 302 12-1 May 5 Harvill 302 2-4 Transmission lines Electrostatics, Magnetostatics Dynamics, Plane waves Comprehensive 25% 25% 25% 25%
A review sheet handout and any handwritten notes on it, a writing utensil and a calculator will be allowed for exams; NOTHING else will be. Please note that there is absolutely no provision in this course for extra credit assignments of any sort.
Overall Educational Goals: ECE 381 is structured to provide all students with the fundamental concepts and analytical techniques associated with electromagnetics and transmission line theory. Successful completion of this course will allow a student access to all of the 400 level tech electives in the electromagnetics and optics areas. Students completing this course are expected to have a good understanding of the fundamental concepts and analytical techniques associated with electromagnetics, including transmission lines. Emphasis is given not only to static situations but also to time-varying, dynamic systems. Connections between the fields approach and circuit models in particular frequency limits are also shown, as well as real world applications of electromagnetics. Specific Learning Objectives: By the end of the course students are expected to be able to: •Perform vector calculus operations such as the gradient, the divergence and the curl. •Identify and list Maxwell’s equations in time domain, as well as associated boundary conditions. •Apply Coulomb’s law to find the force on a charge caused by other charges. •Apply Gauss’ law to determine the electric field caused by a simple charge distribution. •Calculate the electrostatic potential of simple charge distributions. •Explain the effects of conducting and dielectric materials on field quantities. •List the boundary conditions for the electric field vectors on the interface of two different materials. •Calculate the energy stored in an electrostatic field. •Identify Poisson’s and Laplace’s equations and solve them to find electrostatic potentials and fields. •Calculate the capacitance for basic configurations that reduce to one-dimensional systems. •Apply the method of images to find electrostatic potentials and fields of simple charge distributions above perfect conductors. •Describe the conservation of charge and Ohm’s laws and write them in vector calculus format. •Apply Ampere’s force law to calculate the force between constant currents of simple configurations. •Apply the Biot-Savart law to calculate the magnetic flux density caused by a simple current configuration. •Apply Ampere’s law to calculate the magnetic field produced by simple current configurations. •Identify the magnetostatic potential and flux. •Identify and list different magnetic materials. •List the boundary conditions for the magnetic field vectors on the interface of two different materials. •Calculate the inductance and resistance for simple actual physical devices. •Calculate the energy stored in a magnetostatic field. •Identify the time-varying Faraday and Ampere laws (quasi-statics). •Calculate the induction effects from time-varying magnetic fields.
•Identify the Poynting vector and use it to calculate the power flow produced by electromagnetic fields. •Identify Maxwell’s equations in the frequency domain. •Identify the wave equation. •Explain the propagation of one dimensional plane waves in lossless and lossy materials. •List the various polarizations of uniform plane waves. •Calculate the reflection and transmission coefficients of uniform plane waves at planar interfaces. •Explain the propagation of signals along lossless and lossy transmission lines in the frequency and time domains. •Calculate the solutions of the one dimensional transmission line equations and the propagation characteristics of basic transmission line configurations. •Plot the voltage distribution vs. distance and time along a loaded transmission line. •Calculate the input impedance and standing wave pattern of a loaded transmission line. •Describe techniques for matching a loaded transmission line. •Design single-stub matching networks. •Describe the operation/principles of quarter-wave transformers. ECE 381 WEB PAGE: • www.ece.arizona.edu/˜ece381 - Lecture Notes - Homework Assignments/Solutions - Exam Solutions Please be aware of the examination dates as they appear above. There will be no makeups or extensions except in the case of hospitalization or death in immediate family. In either of these two instances, the student must contact the professor within 48 hours of the scheduled exam. In addition to contacting the professor, the student must provide documentation of hospitalization or death in immediate family. If the student fails to do both of these, he or she will be awarded the grade of a zero for the missed exam and will not be allowed to make up the work. Enrollment in this course indicates compliance with this policy. If any student in this course has a disability or other special need and wishes to discuss academic accommodations in this course, please see me within the first three weeks of class. Please be aware of the following important dates from the 2006 Academic Calendar. Last day to drop courses without a grade of "W" Last day to drop courses with a grade of "W"
Tuesday, February 7, 2006 Tuesday, March 7, 2006
COURSE OUTLINE ECE 381 Below are the topics to be covered and a tentative breakdown of the semester into individual lectures and the corresponding sections in Ulaby. This list is provided so you can review the section in the text before the lecture and can plan your study schedule. I. Mathematical Review (Chapter 1) Jan. 11 Jan. 13 Jan. 18 Outline of course and reasons to study EM Fundamentals of Wave Propagation (Sec. 1.3, 1.4) Review of Phasors, Complex Numbers, Complex Vectors, Time harmonic (Sinusoidal Steady State) quantities (Sec. 1.5, 1.6)
II. Transmission Lines (Chapter 2) Jan. 20 Jan. 23 Jan. 25 Jan. 27 Jan. 30 Feb. 1 Feb. 3 Feb. 6 Feb. 8 Feb. 10 Feb. 13 Transmission Line concepts, equations (Sec. 2.1-2.3) Transmission Line equations & solutions (Sec. 2.4) Lossless transmission line: Unloaded (Sec. 2-5, 2-8) Lossless transmission line: Loaded (Sec. 2-5, 2-8) Lossless transmission line: Loaded (Sec. 2-5, 2-8) Input impedance of transmission line (Sec. 2-6), Special Cases of transmission lines (Sec. 2-7) Cascaded transmission lines (Sec. 2-6) Matching circuits (Sec. 2-10) Transients on Transmission Lines (Sec. 2.11) Smith Chart (Sec. 2.9) Exam 1
INDEPENDENT REVIEW OF CHAPTER 3: VECTOR ALGEBRA AND CALCULUS III. Electrostatics (Chapter 4) Feb. 15 Feb. 17 Feb. 20 Feb. 22 Feb. 25 Feb. 27 Maxwell’s Equations, Static-Dynamic Limits (Sec 4.1) Laplace’s and Poisson’s equations and Potentials (Sec. 4.5) Charge, Coulomb’s Law, Electric field, Forces (Sec. 4.1-4.3) Gauss’ Law (Sec. 4.4) Electrical Properties of Materials (Sec. 4.6-4.8), Electric Boundary conditions (Sec. 4.9) Capacitance, Energy Stored in Electrostatic Field (Sec. 4.10, 4.11)
IV. Magnetostatics, Quasi-statics (Chapter 5) March 1 March 3 March 6 March 8 Steady State Currents, Magnetic forces (Sec. 5.1) Magnetic potentials, Magnetic fields, Forces (Sec. 5.2, 5.3, 5.5) Ampere’s Law (Sec. 5.4) Magnetic properties of materials (Sec. 5.6) Boundary conditions (Sec. 5.7) March 10 Inductance, Energy Stored in Magnetic field (Sec. 5.8, 5.9) V. Time-Varying Fields and Maxwell’s Equations (Chapter 6) March 20 March 22 March 24 March 27 Faraday’s Law and Applications (Sec. 6.1-6.5) Exam 2 Displacement Current, Time Varying Ampere’s Law (Sec. 6-7) Time-Varying Maxwell’s Equations, Boundary Conditions Electromagnetic Potentials (Sec. 6.8-6.11)
VI. Uniform Plane Waves (Chapters 7, 8) March 29 Steady State Maxwell’s Equations (Sec. 7.1) Uniform plane wave solutions, lossless media (Sec. 7.2) March 31 Energy propagation (direction, speed), Power Flow, Poynting Theorem (Sec. 7.2, 7.6) April 3 Polarization (Sec. 7.3) April 5 Polarization (Sec. 7.3) April 7 Uniform plane wave solutions, lossy media (Sec. 7.4-7.6) Skin Effect (Sec. 7.5) April 10 Uniform plane wave solutions, lossy media (Sec. 7.4-7.6) Skin Effect (Sec. 7.5) April 12 Refection-Transmission of Plane Waves at Normal Incidence (Sec. 8.1) April 14 Refection-Transmission of Plane Waves at Normal Incidence (Sec. 8.1) April 17 Refection-Transmission of Uniform Waves at Oblique Incidence, Snell’s Law (Sec. 8.2-8.5) April 19 Refection-Transmission of Uniform Planes Waves at Oblique Incidence, Snell’s Law (Sec. 8.2-8.5) April 21 Guided Waves (Sec. 8.3) April 24 Exam 3 VII. Radiation (Chapter 9) April 26 April 28 May 1 May 3 May. 5 Short Dipole (Sec. 9.1) Antenna Properties, Long Dipole (Sec. 9.2-9.5) Friis Transmission Formula (Sec. 9.6) Review FINAL EXAM, Harvill 302, 2:00PM - 4:00 PM