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.

Intended learning outcomes *

After a pass mark on 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.

Note that ’solve problems’ in the intended learning outcomes above means also that based on an appropriate part of Maxwell's equations by means of e g 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 possible to be derived based on the differential equation.

Course Disposition

Lectures and tutorials.

Specific prerequisites *

Completed courses equivalent to the courses in Engineering in energy and environment (CENMI) as well as in the education Master of Engineering & teachers (CLGYM) in

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

Recommended prerequisites

Through knowledge of 1:st year courses in mathematics (up to and including Guass and Stokes theorems for vector quantities) and science (basic concepts like force, power, energy, center of gravity).

Equipment

No information inserted

Literature

The course literature list is announced on the course page.

Grading scale *

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

Examination *

• TEN1 - Written Exam, 6.0 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.

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

Examiner

Lars Jonsson

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.

Offered by

EECS/Electrical Engineering

Main field of study *

Electrical Engineering, Technology

Education cycle *

First cycle

Add-on studies

No information inserted

Contact

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.