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PHSX   423

Electromagnetics

GEOP 302


Xiaobing Zhou, Associate Professor of Geophysicis



Lecture: (PHSX 423): Monday/Wednesday/Friday 12:00 am - 12:50 pm at ELC 106


Instructor: Dr. Xiaobing Zhou, Email: xzhou@mtech.edu, Tel: 496-4350


Office Hours: M/W/F 4:00pm -5:00pm, ELC 304


Textbook (required):
Cheng, D. K., Field and Wave Electromagnetics, 2nd Edition, Prentice Hall, 1992.


References (recommended):

  1. Lonngren, K. E. and S. V. Savov, Fundamentals of Electromagnetics with MATLAB, SciTech, 2005.
  2. Hayt, Jr., W. H., and John A. Buck, Engineering Electromagnetics, 7th edition, McGraw Hill Higher Education, Boston, 2006.
  3. Balanis, C., Advanced Engineering Electromagnetics, John Wiley & Sons, Inc., 1989. (ISBN 0-471-62194-3).
  4. Peterson, A. F. , S. L. Ray, R. Mittra, Computational Methods for Electromagnetics, Wiley-IEEE Press, December 1997, ISBN: 0-7803-1122-1.
  5. Electromagnetic Theory


Course Description:

This is an advanced course on electricity and magnetism for upper level and graduate students. Calculus of vector and field will be introduced or reviewed. Focus will be on basic concepts and laws of electrostatics and magnetostatics; boundary value problems; derivation of capacitance and inductance; non-time varying Maxwell's equations; relationship between force, charge, and motion in electric and magnetic fields; time-varying electric and magnetic fields; time varying Maxwell's equations; derivations of the wave equations or time harmonic fields; plane wave solution of the wave equations; interaction of plane electromagnetic waves with dielectric boundaries, perfect conducting boundaries, and lossy media boundaries; and theory and application of transmission lines for EM signal transmission.



Prerequisites:

Prerequisites: PHSX 237 (General Physics--Electricity, magnetism, and motion) and Math 2236 (Differential Equations);
Corequisites: PHSX 453(Methods of Theoretical Physics) or M 405(Advanced Engineering Mathematics) or EE3550 (Electric Circuits II).

Topics:
  • Vectors Algebra and Vector Calculus
  • Electrostatics: Laws and Relationships of Static Electric Field
  • Solution of Electrostatic Problems
  • DC Circuit Theory and Electrostatics: Relationships
  • Magnetostatics: Static Magnetic Field
  • Time-varying Fields and Maxwell’s Equations
  • Plane Electromagnetic Waves
  • Theory and Applications of Transmission Lines
Objectives:
  1. To develop an understanding and master of vector analysis
  2. To understand basic laws and relationships of electrostatic and magnetostatics
  3. To understand how to use vector analysis, electrostatic (magnetostatic) laws and relations to solve electrostatic (magnetostatic) problems in Cartesian, cylindrical, and spherical coordinates
  4. To understand basic laws and relationships of electromagnetic theory (time varying electric and magnetic fields) and applications (transformer, current flow in capacitor, antenna, etc.)
  5. To understand he development of concepts of capacitance and inductance; the relationships between DC electrical circuit theory and electrostatics; and the relationships between AC circuit theory and electromagnetic field theory
  6. To understand the Maxwell’s equations and interaction of electromagnetic wave with conducting, dielectric and lossy boundaries
  7. To understand the transmission line equations, calculation, wave characteristics on transmission lines
Course outcomings (complying with ABET A-K):
After this course, you (the student) should have
    A. an ability to apply knowledge of mathematics, science, and engineering
    G. an ability to communicate effectively
Homework:

Homework will generally be assigned on Wednesday and due the following Wednesday; otherwise, just follow the announcement in classes or the specified date on the homework sheet. Homework will be put in the subdirectory "Homework" under the directory "Course Documents" on the BlackBoard. Answer keys to the homework questions are given at the end of the textbook. Group discussing in doing homework is permitted but copying answers from others is prohibited. Copied homework will be graded as “zero” or “F”. Both sides will be graded “F” because nobody knows who copies whose – thus do not let anybody copy your homework. No homework will be dropped in calculating your course grade. Late homework will not be accepted absolutely. Not all questions in each homework assignment will be graded. Graded questions in each homework assignment will total 100 pts.


Quizzes:

Basically, a quiz will be given each week, but may be on an irregular basis. The content of each quiz will generally within that covered in the previous week. Of all the quizzes, the two that you got the lowest grades will be dropped in calculating your final course grade. Each quiz will total 100 pts. The final grade for the quizzes will the average of all your quiz grades with the two lowest dropped out.


Grade Policy:

Your final grade for the course will depend on your active participation, ability to understand and apply the various concepts, laws, relationships, physical process, and vector analysis in solving electromagnetics problems. The final grade of the course will be determined approximately as follows:

  • Homework: 20%
  • Tests (2-4): 45%
  • Final exam: 30%

The instructor reserves the right to give extra credit to active participation and demonstrated interest and capability. Grading scale observes: A=(92,100], A-=[90, 92], B+=(87, 90), B=[83, 87], B-=[80, 83), C+=(77, 80), C=[73, 77], C-=[70, 73), D+=(67, 70), D=[63, 67], D-=[60, 63), F=[0, 60). [ or ] means inclusive, ( or ) means exclusive. Also: A= 4.0, A-=3.7, B+=3.3, B=3.0, B-=2.7, C+=2.3, C=2.0, C-=1.7, D+=1.3, D=1.0, D-=0.7, F=0.



Tentative schedule:


Date   Day   Lecture No.   Topic   Read assignment  
Homework
(Due each Wednesday)s  
Jan-12-11
Jan-14-11
Wednesday
Friday
Lecture 1
Lecture 2
Vector algebra
Orthogonal coordinate systems
Ch1, Ch 2.1-3
Ch 2.4
Jan-17-11
Jan-19-11
Jan-21-11
Monday
Wednesday
Friday
Holiday (MLK)
Lecture 3
Lecture 4

Vector calculus: integral, gradient
Vector calculus: divergence, curl

Ch 2.5-6
Ch 2.7-9
Homework 1