Electromagnetic Field Theory and Electromagnetism, 6 credits (TNE056)

Ellära och elektromagnetism, 6 hp

Main field of study

Electrical Engineering Applied Physics Physics


First cycle

Course type

Programme course


Igor Zozoulenko

Director of studies or equivalent

Adriana Serban
Course offered for Semester Period Timetable module Language Campus VOF
6CIEN Electronics Design Engineering, M Sc in Engineering 4 (Spring 2017) 1, 2 3, 2 Swedish Norrköping o

Main field of study

Electrical Engineering, Applied Physics, Physics

Course level

First cycle

Advancement level


Course offered for

  • Electronics Design Engineering, M Sc in Engineering

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.


Physical modelling, Multivariable calculus, Vector calculus

Intended learning outcomes

After completion of the course a student is expected

  • to understand fundamental laws of electromagnetism (Coulomb’s law, Gauss law, Ohm’s law, Amper’s law, Faraday’s law etc. ), as well as fundamental concept such as potential, capacitance, current, resistance, inductance, e.m.f., electromagnetic induction, etc.
  • to be able to apply fundamental laws of electromagnetism to perform practical calculations (e.g. calculate potential, electric and magnetic fields, capacitance, inductance, e.m.f., etc. for basic model systems)
  • to be able to relate fundamental laws of electromagnetism to various technological applications as well as to everyday life phenomena
  • to be able to use the laws of electromagnetism in subsequent courses (such as Modern Physics, Semiconductor devices, Introduction to Material Science, Photonics etc.).
The course aims to give students knowledge of electromagnetism which is essential for continued studies in physics, esp. in the area of electronics.

Course content

  • Fundamental theory of electrostatics: Coulombs law, electrostatic potential och field, superposition principle, dipole and generalised multipoles. Brief description of electrostatic fields in conductors and dielectric materials, polarisation and permittivity, Gauss law, Poisson's and Laplace's equations and boundary conditions.
  • Fundamental theory of magnetism: magnetic field strength, Biot-Savart law, divergence and curl of magnetic fields. Magnetism in media, magnetisation, para-, ferro- and diamagnetic materials.
  • Maxwell's equations and the electromagnetic field. Electromagnetic waves in vacuum, energy density and Poynting's vector.
  • EM waves in dielectric and conducting materials: group velocity and the index of refraction. Reflection, refraction and polarisation. Waveguides.

Teaching and working methods

The course is divided into lectures and tutorials.
The course runs over the entire spring semester.


KTR1Individual assignmentsU, G0 credits
UPG1AssignmentsU, G1.5 credits
TEN1Written examinationU, 3, 4, 54.5 credits


Four-grade scale, LiU, U, 3, 4, 5

Other information

Supplementary courses: Modern physics


Institutionen för teknik och naturvetenskap

Director of Studies or equivalent

Adriana Serban


Igor Zozoulenko

Course website and other links


Education components

Preliminary scheduled hours: 54 h
Recommended self-study hours: 106 h

Course literature

Halliday, Resnick and Walker, ”Fundamentals of Physics” (John Wiley & Sons) 2008; Lars Engström och Peter Münger, "Exempelsamling i Elektromagnetism" "Extra uppgiftssamling för TNE056" (finns på http://staffwww.itn.liu.se/~igozo/ellara/ADditional_exercises.pdf).
Halliday, Resnick and Walker, ”Fundamentals of Physics” (John Wiley & Sons) 2008; Lars Engström och Peter Münger, "Exempelsamling i Elektromagnetism" "Extra uppgiftssamling för TNE056" (finns på http://staffwww.itn.liu.se/~igozo/ellara/ADditional_exercises.pdf).
KTR1 Individual assignments U, G 0 credits
UPG1 Assignments U, G 1.5 credits
TEN1 Written examination U, 3, 4, 5 4.5 credits

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

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