Electromagnetic Field Theory I
Physics 834, Autumn 2007
Instructor: Yuri
Kovchegov
Office: M2042 Physics Research Bldg
Office Hours: Tuesdays, Wednesdays, 11:00 am - 12:00 pm
Course Meets: Mondays Wednesdays 8:30 am - 10:18 am, Smith
1180. However, we will meet this Friday, Sept 21, 8:30 am - 10:18 am. (I will notify you about other upcoming exceptions.)
Grader: Leslie Schradin
*** First Class Meets September 19, 2007 ***
There will be no class on Monday, September 24, Wednesday, September 26 and Friday, September 28 - I'll be out of town
No class Monday, November 12 - Veterans' Day observed
Topics:
- Electrostatics, Poisson and Laplace Equations, Green Functions
- Boundary-Value Problems in Electrostatics: Method of Images, problems with spherical geometry (Legendre Polynomials, Spherical Harmonics) and problems with cylindrical geometry (Bessel Functions)
- Multipole Expansion, Dielectrics
- Magnetostatics: Biot and Savart Law, Ampere's Law, Vector Potential, Magnetic Moment, Boundary Value Problems in Magnetostatics
- Maxwell Equations (if we have time)
Textbook:
- J. D. Jackson - Classical Electrodynamics, 3rd Edition
Recommended Reading :
placed on reserve at the Science and Engineering Library (SEL)
- L.D. Landau, E.M. Lifshitz - The Classical Theory of Fields: Volume 2
- L.D. Landau, E.M. Lifshitz, L.P. Pitaevskii -
Electrodynamics of Continuous Media: Volume 8
- D.J. Griffiths - Introduction to Electrodynamics (this is a useful book to refresh your memory, but it does not cover all the material we will be talking about in class)
Lecture Notes:
These are the notes from when I taught this class 2 years ago, they will be updated as we go through the course. The notes are sorted according to chapters in Jackson's textbook.
Chapter 2: Boundary Value Problems in Electrostatics I
Chapter 3: Boundary Value Problems in Electrostatics II
Lecture 14
Lecture 15
Midterm Review
Midterm
Chapter 4: Multipoles, Electrostatics of Macroscopic Media, Dielectrics
Chapter 5: Magnetostatics, Faraday's Law, Quasi-Static Fields
Lecture 27 (please disregard the final info at the end of the notes in this link)
Final Review
Final Exam
Computer Lab: Numerical Solution of Laplace Equation
Two versions of essentially the same Mathematica file are available here:
- Mathematica 5.2 .nb
- Mathematica 6.0 .nb
The password is the same as for the HW solutions.
Homework Assignments:
Homeworks are due at 11:59 pm on the due date. Please put them in the grader's mailbox in PRB or give them to me in class (or slide them under my office door if the other options are not available). Homeworks submitted late are penalized -10 pts. The cutoff for late HW submissions is 5 pm on the day after the HW is due. (Solutions are password
protected, they are for the use of OSU students and faculty only, please write to me if you are
interested in accessing them.) Each problem is worth 10 pts unless stated otherwise.
- HW 1 (due Wednesday, October 3) Jackson Problems 1.3, 1.4, 1.5, and one more problem -- Solution 1
- HW 2 (due Wednesday, October 10) Jackson Problems 1.6 (b), (c), 1.9 (parallel plate capacitor only), 1.10, 1.14 -- Solution 2
- HW 3 (due Wednesday, October 17) Jackson Problems 2.2, 2.3 (a,b,c), 2.15, 2.16, 2.23 (a) -- Solution 3
- HW 4 (due Wednesday, October 24) Jackson Problems 3.9, 3.10, 3.1, 3.2 NO LATE SUBMISSION IS ALLOWED FOR THIS HW, IT'S DUE AT 11:59 pm WED SHARP! -- Solution 4
- HW 5 (due Wednesday, November 7 -- by popular demand THE DEADLINE IS CHANGED TO 5 pm FRIDAY, NOVEMBER 9 SHARP!) Jackson Problems 3.5, 3.6, 4.4 (a), 4.7 (a,b) -- Solution 5
- HW 6 (due Wednesday, November 14) Jackson Problems 4.8 (a) [hint: use Eq. (2.71) in Jackson as your starting point], 4.9, 4.10 [hint: for problems 4.9 and 4.10 you should find the general solutions of Laplace/Poisson equations in all regions and match boundary conditions], 4.13 -- Solution 6 + Addendum
- HW 7 (due Wednesday, November 21) Jackson Problems 5.1, 5.3, 5.13 [hint: use Eq. (5.32) with Eq. (3.70) in Jackson] -- Solution 7
- HW 8 (due Wednesday, November 28) Jackson Problems 5.11 (a), 5.14 (omit the sketch) [hint: the problem is similar to 4.8 (a)], 5.19 (a) [hint: use the result of problem 5.3] -- Solution 8
Exams: Midterm - Friday, October 26, 2007, 8:30 - 10:18 am, Smith 1180 Final - December 4, 2007, 2:30 - 4:18 pm, Smith 1180
Grading: 25% HW, 30% Midterm, 45% Final
Yuri Kovchegov