FYTA12, electromagnetism, VT 2016

Schedule

Lectures are marked with K, exercise sessions with ÖK and SI sessions with SIK in the course schedule.

Literature

D. J. Griffiths, Introduction to Electrodynamics, 4th Edition (ISBN-10: 0321856562, ISBN-13: 978-0321856562), Addison-Wesley, 2013. (You can find errata on the homepage of the author.)

There is also a "Pearson new international edition" in paper-back (ISBN-10: 1-292-02142-X, ISBN-13: 978-1-292-02142-3). This is a collection of the chapters in the book, two out of three of the appendices and the pages on the inside of the cover (vector derivatives etc). It contains essentially the same material although all cross-references between chapters have been removed as each chapter is presented on its own (meaning that all chapters are presented as chapter nr 1 and that the index is a bit different than the original one). This also affects some of the problems and in fact some of them have been deleted. I will point to these cases during the course and I have made a list of corrections to this paper-back edition, which you can find here. (See also the homepage of the author.)

If you get your hands on a copy of the 3rd edition that will also work well.

Preliminary course outline, VT 2016

w. 13: Chapter 2: Coulomb's law, Gauss' law, electric potential, work and energy, conductors and capacitors
w. 14: Chapter 3: Laplace's eqn, (method of images), separation of variables, multipole expansion
w. 15: Chapter 4: Polarization, Polarization field, D- field, linear dielectrics
w. 16: Chapter 5: Lorentz force, Biot-Savart, Ampere's law, vector potential
w. 17: Chapter 6: Magnetization, Magnetization field, H-field, linear media
w. 18: Chapter 7, 8.1: Electromotive force, Induction, Maxwell's eqns, Poynting's theorem
w. 19: Chapter 9.1, 9.2, 9.3, 9.4: Wave eqn, Electromagnetic waves in vacuum, Electromagnetic waves in matter, Absorption and dispersion
w. 20: Chapter 10.1, 12.3.5, 10.2.1, 11.1: The potential formulation, Gauge transformations, relativistic potentials and field tensor, Retarded potentials, dipole radiation (as time permits)
w. 22: Revision and written exam

Lecture notes

Lecture notes for some of the lectures will be made available here.

Electrostatics (Coulomb's law, Gauss' law, electric potential, work and energy, conductors and capacitors)
Potentials (Laplace's eqn, (method of images), separation of variables, multipole expansion)
Dielectrics (Polarization, Polarization field, D-field, linear dielectrics)
Magnetostatics (Lorentz force, Biot-Savart, Ampere's law, vector potential)
Magnetic Materials (Magnetization, H-field, linear media)
Electrodynamics (Electromotive force, Induction, Maxwell's eqns, Poynting's theorem)
EM waves (Wave eqn, Electromagnetic waves in vacuum, Electromagnetic waves in matter, absorption and dispersion)
Radiation (The potential formulation, Gauge transformations, relativistic potentials and field tensor, retarded potentials, dipole radiation)
Scattering

Exercises

There are lots of useful problems in the book by Griffiths. Note that there are two classes of problems:

within the text - designed to be done as you go along (but can still be quite lengthy)
end of chapter - longer and of a more general nature

For the first kind of problems I suggest that you look at all of them and think about how you would solve them. Below you find a list with the problems that I think are most useful.

Chapter 2: 2.2, 2.6, 2.9, 2.12, 2.13, 2.15, 2.16, 2.17, 2.18, 2.19, 2.20, 2.21, 2.24, 2.25, 2.28, 2.31, 2.34, 2.36, 2.39, 2.41, 2.43
(3rd ed: 2.2, 2.6, 2.9, 2.12, 2.13, 2.15, 2.16, 2.17, 2.18, 2.19, 2.20, 2.21, 2.24, 2.25, 2.28, 2.31, 2.32, 2.34, 2.36, 2.37, 2.39)
Chapter 3: 3.1, 3.2, 3.3, 3.13, 3.14, 3.18, 3.20, 3.21, 3.27, 3.29, 3.30, 3.32, 3.33, 3.34, 3.36
(3rd ed: 3.1, 3.2, 3.3, 3.12, 3.13, 3.17, 3.19, 3.20, 3.26, 3.27, 3.28, 3.30, 3.31, 3.32, 3.33)
Chapter 4: 4.5, 4.7, 4.8, 4.10, 4.11, 4.14, 4.15, 4.16, 4.17, 4.18, 4.19, 4.20, 4.21, 4.22, 4.23, 4.26
(3rd ed: 4.5, 4.7, 4.8, 4.10, 4.11, 4.14, 4.15, 4.16, 4.17, 4.18, 4.19, 4.20, 4.21, 4.22, 4.23, 4.26)
Chapter 5: 5.3, 5.5, 5.6, 5.8, 5.10a, 5.13, 5.14, 5.16, 5.17, 5.21, 5.24, 5.26a, 5.30, 5.32, 5.34, 5.37a, 5.37b, 5.38
(3rd ed: 5.3, 5.5, 5.6, 5.8, 5.10a, 5.12, 5.13, 5.15, 5.16, 5.20, 5.23, 5.25a, 5.29, 5.31, 5.33, 5.35, 5.36, 5.60)
Chapter 6: 6.7, 6.8, 6.9, 6.12, 6.13, 6.14, 6.16, 6.17, 6.21
(3rd ed: 6.7, 6.8, 6.9, 6.12, 6.13, 6.14, 6.16, 6.17, 6.21 )
Chapter 7: 7.7, 7.8, 7.12, 7.14, 7.22, 7.24, 7.28, 7.34, 7.35
(3rd ed: 7.7, 7.8, 7.12, 7.14, 7.20, 7.22, 7.26, 7.31, 7.32)
Chapter 8: 8.2
(3rd ed: 8.2)
Chapter 9: 9.2, 9.3, 9.8, 9.9, 9.12, 9.15, 9.16, 9.17, 9.18, 9.19, 9.20, 9.21, 9.22, 9.23, 9.26
(3rd ed: 9.2, 9.3, 9.8, 9.9, 9.11, 9.14, 9.15, 9.16, 9.17, 9.18, 9.19, 9.20, 9.21, 9.22, 9.25 (+graph v_g/c))
Chapter 10: 10.1, 10.3, 10.4, 10.5, 10.6, 10.12
(3rd ed: 10.1, 10.3+10.5, 10.4, 10.6, 10.7, 10.10)
Chapter 11: 11.3, 11.4, 11.7, 11.9, 11.10
(3rd ed: 11.3, 11.4, 11.7, 11.8, 11.9)

For the second kind of problems I have listed those that I find especially useful below.

Chapter 2: 2.46, 2.47, 2.48, 2.49, 2.50
(3rd ed: 2.42, 2.43, 2.44, 2.45, 2.46)
Chapter 3: 3.43, 3.44, 3.46, 3.47, 3.48, 3.52
(3rd ed: 3.37, 3.38, 3.40, 3.41, 3.42, 3.45)
Chapter 4: 4.30, 4.33, 4.35, 4.36, 4.39, 4.41
(3rd ed: 4.30, 4.31, 4.32, 4.33, 4.36, 4.38)
Chapter 5: 5.41, 5.48, 5.57, 5.58, 5.61
(3rd ed: 5.39, 5.47a, 5.55, 5.56, 5.59)
Chapter 6: 6.25, 6.26
(3rd ed: 6.23, 6.24 )
Chapter 7: 7.44, 7.47, 7.60
(3rd ed: 7.42, 7.45, 7.55)
Chapter 8: 8.13, 8.23a
(3rd ed: 8.9, 8.15a)
Chapter 9: 9.35, 9.37, 9.39
(3rd ed: 9.33, 9.35, 9.37)
Chapter 10: 10.24
(3rd ed: 10.21)
Chapter 11: 11.22ab, 11.24, 11.28a
(3rd ed: 11.21ab, 11.11, 11.24a)

Problem solving sessions (preliminary plan)

April 8: 2.25, 2.30, 2.32, 2.34 (+ calculate classical electron radius), 2.47, 2.50 (+ plot rho)
April 22: 3.15, 3.22 (see corrections above) 3.46, 3.48, 4.26, 4.39
May 6: 5.17, 6.16, 6.21, 7.16+7.36, 7.24+7.28, 7.34+8.2 (challenge 7.35c)
May 19: 9.26, 9.35, 10.3+10.5+10.6 problems 1 and 2 on Additional problems 1, problem 1 and 3 on Additional problems 2

Old exams

June 2010 (with suggestions for solutions), August 2010, June 2011, Second exam June 2011, May 2012, Collection of some answers for the exams 2010-2012, Collections of some of the exam problems from 2013, May 2014, Answers for May 2014, June 2015, Brief solutions for June 2015, Brief solutions for June 2016

Collection of some mathematical formulas that are useful for electromagnetism (updated June 2, 2015). Will be handed out at exam.

Hand-in exercises spring 2016

The solutions should (if nothing else is stated) be handed in within six days, i.e, at the latest the Thursday the week after at the exercise session at 1:15 pm. The solutions should be written in a nice and easily readable manner or typeset using a computer. The exercises should be solved individually.

Hand-in exercise nr 1 to be handed in Thursday, April 14, 13:15 (Johan Rathsman's mailbox in the theoretical physics corridor).
Hand-in exercise nr 2 to be handed in Thursday, April 28, 13:15 (Johan Rathsman's mailbox in the theoretical physics corridor).
Hand-in exercise nr 3 to be handed in Thursday, May 14, 13:15 (Johan Rathsman's mailbox in the theoretical physics corridor).