Basic course on electromagnetic field-theory. It includes electro-statics, magneto-statics, induction, plane waves and dipole-antennas.

Additional information, for the current year, about the course are available on KTH social, and on KTH canvas.

Select the semester and course offering above to get information from the correct course syllabus and course offering.

Electrostatics:

- Coulomb's law; the electric field E; charge distriubutions; Gauss law, where fields are defined based on their force, calculate fields from given charge distriubutions
- the scalar potential; electrostatic energy; conductors; capacitance,
- method of images, for boundary value problems;
- the electric dipole; polarisation; bound charges; The D-field; dielectrics; permittivity, the interaction of the electric field with material;
- current density; conductivity; resistance; Joule's law.

Magnetostatics and induction:

- Biot-Savart's law; the magnetic field B; the continuity equation; Ampère's law; the vector potential, the B-field defined from its force; calculate magnetic fields from a given stationary current density;
- the magnetic dipole; magnetisation; bound current density; The H-field; permeability; magnetic field interaction with materials;
- electromotive force; the induction law; inductance; magnetic energy.

Electrodynamics:

- Maxwell's equations; the Poynting theorem for energy transport;
- the wave equation; plane waves; complex fields; plane waves in materials; reflection and transmission, normal incidence against dielectrics and oblique incidence against metal;
- the electric and magnetic elementary dipole antennas.

After the course, the student shall from a description of an electromagnetic problem be able to

- solve electrostatic problems by choosing correct method, analyse the problem with correctly applied theory and mathematical tools (vector algebra, integral calculus, approximations), to obtain and present correct results, and evaluate the plausability of the results.
- solve magnetostatic problems and induction problems by choosing correct method, analyse the problem with correctly applied theory and mathematical tools (vector algebra, integral calculus, approximations), to obtain and present correct results, and evaluate the plausability of the results.
- solve electrodynamic problems by choosing correct method analyse the problem with correctly applied theory and mathematical tools (vector algebra, integral calculus, approximations, the complex method), to obtain and present correct results, and evaluate the plausability of the results.

Note that ’solve problems’ in all three intended learning outcomes above means also that based on an appropriate part of Maxwell's equations by means of vector calculus, integral calculus and differential calculus be able to show how, in the electromagnetism, known expressions are related to one another. E g Gauss law on integral form should be able to be derived based on the differential equation.

Lectures and tutorials.

Completed courses equivalent to the courses for Engineering in electrical engineering (CELTE) in

- linear algebra
- differential and integral calculus, in an and several variables
- analysis of electric circuits
- vector calculus.

Thorough knowledge of 1st year course in mathematics.

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The course literature list is announced on the course page.

A, B, C, D, E, FX, F

- TEND - Partial exam, 3.0 credits, Grading scale: A, B, C, D, E, FX, F
- TENE - Partial exam, 3.5 credits, Grading scale: A, B, C, D, E, FX, F
- TENM - Partial exam, 4.0 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

TENE, TENM and TEND can be assessed partly separately (at quizzes) and partly together (at examination and retake).

For students who have not completed EI1220 before period 4 in 2019, KONE, KONM, TEN1 are translated to TENE, TENM or TEND.

In agreement with KTH´s coordinator for disabilities, it is the examiner who decides to adapt an examination for students in possess of a valid medical certificate. The examiner may permit other examination forms at the re-examination of few students.

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Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web EI1220Technology

First cycle

EI1222 Electromagnetic Theory E, Continuation Course

Lars Jonsson

- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

In this course, the EECS code of honor applies, see:

http://www.kth.se/en/eecs/utbildning/hederskodex.