PHYS 4056
Xiaobing Zhou, Assistant Professor of Geophysics

Electromagnetics



Lecture (PHYS 4056): 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: PHYS 2086 (General Physics--Electricity, magnetism, and motion) and Math 2236 (Differential Equations);
Corequisites: PHYS 4536(Methods of Theoretical Physics) or MATH 4056(Advanced Engineering Mathematics) or ENGR 3555 (Electric Circuits II).

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.

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:

Attendance:    10%
Homework: 30%
Midterm:   25%
Final exam: 35%

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 ading
Assignment
 Homework
(Due each Wednesday)
Jan-14-09
Jan-16-09 		Wednesday
Friday
 Lecture 1
Lecture 2
 Vector algebra
Orthogonal coordinate systems
 Ch1, Ch 2.1-3
Ch 2.4
  
Jan-19-09
Jan-21-09
Jan-23-09  		Monday
Wednesday
Friday
 Holiday
Lecture 3
Lecture 4
Vector calculus: integral, gradient
Vector calculus: divergence, curl
Ch 2.5-6
Ch 2.7-9
Homework 1

Jan-26-09
Jan-28-09
Jan-30-09 		Monday
Wednesday
Friday 		Lecture 5
Lecture 6
Lecture 7
 Vector calculus: Stokes's and Helmholtz's Theorems
Electrostatics: postulates, Coulomb's law,
Gauss's law and electric potential
Ch 2.10-12
Ch 3.1-3
Ch 3.4-5
Homework 2
Feb-02-09
Feb-04-09
Feb-06-09 		Monday
Wednesday
Friday 		Lecture 8
Lecture 9
Lecture 10
Conductor and dielectrics
Dielectric constant
Boundary conditions
 Ch 3.6-7
Ch 3.8
Ch 3.9
Homework 3

Feb-09-09
Feb-11-09
Feb-13-09  		Monday
Wednesday
Friday 		Lecture 11
Lecture 12
Lecture 13
 Capacitance in multiconductor system (1)
Capacitance in multiconductor system (2)
Electrostatic energ & forces
 Ch 3.10
Ch 3.11
Ch 4.1-2
Homework 4
Feb-16-09
Feb-18-09
Feb-20-09
Monday
Wednesday
Friday 		Holiday
Lecture 14
Lecture 15

Poisson's and Laplace's eqs.
Uniqueness theorem and method of images(1)
Ch 4.3-4
Ch 4.5
 Homework 5
Feb-23-09
Feb-25-09
Feb-27-09
 Monday
Wednesday
Friday		 Lecture 16
Lecture 17
Lecture 18
Method of images(2)
Solution of problems: Boundary problem in Cart. Coord.
Problem solving
 Ch 4.6
Ch 4.7
Ch 1-4
Homework 6
Mar-02-09
Mar-04-09
Mar-06-09
 Monday
Wednesday
Friday		 Lecture 19
Lecture 20
Lecture 21
 Current density and Ohm's law
KVL, KCL, and Joule's law
Boundary conditions
Ch 5.1-2
Ch 5.3-5
Ch 5.6
Homework 7
Mar-09-09
Mar-11-09
Mar-13-09  		Monday
Wednesday
Friday 		Lecture 22
Lecture 23
Midterm Exam
 Resistance calculation
Magnetostatics: basic postulates & vector magnetic potential

 Ch 5.7
Ch 6.1-3
Ch 1-5
 Homework 8
Mar-16-09
Mar-18-09
Mar-20-09
 Monday
Wednesday
Friday
Spring Break




Mar-23-09
Mar-25-09
Mar-27-09
 Monday
Wednesday
Friday		 Lecture 24
Lecture 25
Lecture 26
 Biot-Savart law, application
Magnetic dipole
Magnetization and equivalent currnet density
 Ch 6.4
Ch 6.5
Ch 6.6
Homework 9
Mar-30-09
Apr-01-09
Apr-03-09
 Monday
Wednesday
Friday		 Lecture 27
Lecture 28
Lecture 29
 Relative permeability & magnetic circuits
Boundary conditions
Inductance calculation 		Ch 6.8
Ch 6.10
Ch 6.11
Homework 10
Apr-06-09
Apr-08-09
Apr-10-09
 Monday
Wednesday
Friday 		Lecture 30
Lecture 31
Non-instructional day
 Magnetic energy
Magnetic force and torque
Time-varying fields: electromagnetostatic field, Faraday's law
 Ch 6.12
Ch 6.13
Ch 7.1-2
Homework 11
Apr-13-09
Apr-15-09
Apr-17-09  		Monday
Wednesday
Friday		 Lecture 32
Lecture 33
Lecture 34
 Transformer  & Faraday disk generator
Maxwell's equations & Potential functions
EM boundary conditions, wave equations & their solutionsTime  		Ch 7-2
Ch 7.3-4
Ch 7.5-6
Homework 12
Apr-20-09
Apr-22-09
Apr-24-09
 Monday
Wednesday
Friday		 Lecture 35
Lecture 36
Lecture 37
 Plane EM waves in lossless media
Plane EM waves in lossy media
Group velocity & poyting vector 		Ch 8.1-2
Ch 8.3-4
Ch 8.4-5
Homework 13
Apr-27-09
Apr-29-09
May-01-09
 Monday
Wednesday
Friday		 Lecture 38
Lecture 39
Lecture 40 		EM waves at conducting boundary
EM waves at dielectric boundary
Final review
 Ch 8.6-7
Ch 8.8-10
Chapters 1-8
Homework 14

May-06-08

 Wednesday Final Exam
(11:30-1:30pm) 		Chapters 1-8
 
 
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Last Updated: January 10, 2008