Lund University Department of Astronomy and Theoretical Physics

Electromagnetism (FYTB13)

Fall 2018

Runs every fall (first half) and spring (second half).

Intro meeting, fall 2018: Monday, September 3rd, at 3:15 PM, in Lecture Hall D (L315).

Links

Formal course specs (in Swedish)
Course page at Live@Lund

Literature

Introduction to Electrodynamics by D. J. Griffiths

4th Edition (ISBN-13: 978-1108420419), Cambridge University Press, 2017. (You can find errata on the homepage of the author.)

It also exists as 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. You can find a list of corrections to this paper-back edition 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.

Note: An cheaper reprint of the book is available at Bokus

People

  • Course leader and lecturer: and
  • Exercise sessions: and
  • Hand-in tasks (see below):
  • SI sessions: Erik Raftö-Lindwall

Schedule

Intro meeting:
Monday, Sept 3, 2018, at 15:15, in Lecture Hall D (L315),
Kurslab (Building L), Fysicum, Sölvegatan 14.

Entire schedule is available at Live@Lund.

Preliminary course outline, fall 2018

w. 36
Chpt 1: Vector Calculus: nabla (del), grad, div, curl; Gauss' and Stokes' theorems; Dirac's delta function; plane, cylindrical, and spherical polar coordinates.
w. 37
Chpt 2: Coulomb's law, Gauss' law, electric potential, work and energy, conductors and capacitors
w. 38
Chpt 3: Laplace' eqn, separation of variables, multipole expansion
w. 39
Chpt 4: Polarization, polarization field, D-field, linear dielectrics
w. 40
Chpt 5: Lorentz force, Biot-Savart, Ampère's law, vector potential
w. 41
Chpt 6: Magnetization, magnetization field, H-field, linear media
w. 42
Chpts 7, 8.1: Electromotive force, induction, Maxwell's eqns, Poynting's theorem,

Chpts. 9.1-9.2: Wave eqn., EM waves in vacuum.
w. 43
Chpt 9.3: EM waves in matter

Chpt 10.1: The potential formulation, gauge transformations, relativistic formulation (N.B. this is chapter 12.1 in the Pearson new international edition).
w. 44
Repetition and written exam

Hand-in tasks

Each of the three or four hand-in tasks will be published via Live@Lund (L@L), and individual solutions are to be submitted as PDF via L@L, typically within six days, i.e, at the latest on the Thursday in the week after the exercise session, at 5 PM. The solutions should be written in a nice and easily readable manner, or typeset using a computer.

N.B. the bonus rules.

Exams

Exam rules: You can bring one A4-sheet of own notes. Notes on vector calculus and trigonometry will be provided. NO electronic equipment whatsoever will be allowed.

Written exam: Fri, Nov 2, 2018, at 8—13, in Math annex, section IMV:1-6.
Registration is compulsory, via the Student Portal

Lecture notes

Lecture notes covering most of the lectures will be made available here.

Problem solving sessions

Problems covered in the exercise sessions will appear here (* = challenge).
  • Sept 10: 1.4, 1.11b, 1.15, 1.18, 1.22, 1.26d, 1.27, 1.28, 1.32c, 1.33, 1.34, *1.39 (b).
  • Sept 18: 1.39 (b), 1.47, 1.57 (choose cyl. coord's), 1.59, 2.25 (a,c,a'), 2.30 (a,b,c), *2.47, 2.50 (+ plot ρ(r)).

Miniproject assignments

More info later...

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 we 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 we think are most useful.
  • Chpt 1: 1.4, 1.11b, 1.15, 1.18, 1.19, 1.22, 1.26d, 1.27, 1.28, 1.32c, 1.33, 1.34; 1.39, 1.41, 1.44d, 1.45c, 1.46, 1.47, 1.48, 1.49, 1.50a, 1.53
  • Chpt 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)
  • Chpt 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)
  • Chpt 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)
  • Chpt 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)
  • Chpt 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 )
  • Chpt 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)
  • Chpt 8: 8.2
    (3rd ed: 8.2)
  • Chpt 9: 9.2, 9.3, 9.8, 9.9, 9.12, 9.15, 9.16, 9.17, 9.18
    (3rd ed: 9.2, 9.3, 9.8, 9.9, 9.11, 9.14, 9.15, 9.16, 9.17)
  • Chpt 10: 10.1, 10.3, 10.4, 10.5, 10.6
    (3rd ed: 10.1, 10.3+10.5, 10.4, 10.6, 10.7)
For the second kind of problems I have listed those that I find especially useful below.
  • Chpt 1: 1.54, 1.57 (cyl coord), 1.59, 1.61, 1.62 (3rd ed: 1.53, 1.56 (cyl coord), 1.58, 1.60, 1.61)
  • Chpt 2: 2.46, 2.47, 2.48, 2.49, 2.50
    (3rd ed: 2.42, 2.43, 2.44, 2.45, 2.46)
  • Chpt 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)
  • Chpt 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)
  • Chpt 5: 5.41, 5.48, 5.57, 5.58, 5.61
    (3rd ed: 5.39, 5.47a, 5.55, 5.56, 5.59)
  • Chpt 6: 6.25, 6.26
    (3rd ed: 6.23, 6.24 )
  • Chpt 7: 7.44, 7.47, 7.60
    (3rd ed: 7.42, 7.45, 7.55)
  • Chpt 8: 8.13, 8.23a
    (3rd ed: 8.9, 8.15a)
  • Chpt 9: 9.35, 9.39
    (3rd ed: 9.33, 9.37)
  • Chpt 10:

Old exams

Oct 2017 (and solutions)

May 2017 (and solutions)

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

Formulas you can use without deriving them (unless asked to).

Other messages

Further reading

R.K. Wangsness, Electromagnetic Fields, 2nd edition. Wiley.

J.D. Jackson, Classical Electrodynamics, 3rd edition. Wiley.

B. Thidé, Electromagnetic Field Theory, 2nd, (online textbook)