# EI1220 Electromagnetic Theory E 10.5 credits

#### Teoretisk elektroteknik E

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.

### Offering and execution

#### No offering selected

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

## Course information

### Content and learning outcomes

#### Course contents *

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.

#### Intended learning outcomes *

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.

#### Course Disposition

Lectures and tutorials.

### Literature and preparations

#### Specific prerequisites *

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.

#### Recommended prerequisites

Thorough knowledge of 1st year course in mathematics.

#### Equipment

No information inserted

#### Literature

The course literature list is announced on the course page.

### Examination and completion

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

#### Examination *

• 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.

#### Opportunity to complete the requirements via supplementary examination

No information inserted

#### Opportunity to raise an approved grade via renewed examination

No information inserted

### Further information

#### Course web

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 EI1220

#### Offered by

EECS/Electrical Energy Engineering

Technology

#### Education cycle *

First cycle

EI1222 Electromagnetic Theory E, Continuation Course

Lars Jonsson

#### Ethical approach *

• 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.

#### Supplementary information

In this course, the EECS code of honor applies, see:
http://www.kth.se/en/eecs/utbildning/hederskodex.