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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
EEF031 - Theory of electromagnetic fields
Syllabus adopted 2012-02-22 by Head of Programme (or corresponding)
Owner: TKTFY
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: First-cycle
Major subject: Electrical Engineering, Engineering Physics

Teaching language: Swedish

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0194 Examination 7,5c Grading: TH   7,5c   12 Jan 2017 pm H,  11 Apr 2017 pm M,  17 Aug 2017 pm M

In programs



Docent  Andreas Fhager


In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.

Course specific prerequisites

Courses in mathematics.


To give ability to analyse and solve fundamental field problems.

Learning outcomes (after completion of the course the student should be able to)

To give ability to analyse and solve fundamental electromagnetic field problems.


Charge and charge densities, Coulomb's law, electrostatic field, Gauss' law, electrostatic potential, conductors and insulators, electric dipoles and dipole fields, torque and forces on dipoles in electric fields, polarisation and polarisation charge densities, electric displacement, boundary conditions, capacitance calculations, electrostatic energy, energy density in the electric field, force calculation using the energy method, Poisson's and Laplace's equations, uniqueness theorem, electrostatic boundary value problems.

Steady electric current:
Current density, Ohm's law, equation of continuity, boundary conditions, relaxation time, Joule's law, resistance calculations.

Magnetic flux density, Lorentz force, Ampère's law, magnetic vector potential, Biot-Savart's law, magnetic dipoles and dipole fields, torque and forces on dipoles in magnetic fields, magnetisation, magnetisation current densities, magnetic field intensity, boundary conditions, ferromagnetic hysteresis, inductance and mutual inductance, magnetic energy, energy density in magnetic field, force calulations using the energy method.

Faraday's law of induction, displacement current density, Maxwell's equations, boundary conditions, wave equations, retarded potentials, complex vector fields, plane waves, skin effect, Poynting's theorem, reflection and transmission of plane wave at plane interface, Fresnel equations, Brewster angle, total internal reflection, antennas, Hertzian dipole.


Lectures, tutorials, problem solving at home expected. A non-obligatory "mid-period exam" covering statics, in study week 4: if passed with a good result, the student is finished with the statics part of the course, and automatically gets full points on the statics problems on the real exam. Voluntary web-based hand-in questions every week can give bonus points on the exam.


DK Cheng : Fundamentals of engineering electromagnetics, Addison-Wesley 1993.

Additional course material (lecture notes etc) can be purchased from DC in the E-building, or downloaded from the course webpage,


A written exam of five problems. Grades U, 3, 4, 5.
Non-obligatory hand-in questions gives bonus points. A voluntary "mid-period exam" on electrostatics and magnetostatics makes it possible to complete the course in two parts.

Page manager Published: Thu 04 Feb 2021.