Course content

Electrostatics. Method of images, separation of variables, Green functions. Multipole expansions. Electric fields in matter. Magnetostatics. Magnetic fields in matter. Electromotive force, electromagnetic induction. Maxwell's equations. Conservation laws for charge, energy, momentum and angular momentum. Electromagnetic waves. Potentials and fields, gauge transformations. Radiation from dipoles and charges in motion. Theory of relativity.

Learning outcome

Knowledge:

The candidate has knowledge beyond an introductory level about:

• electromagnetic phenomena in vacuum and materials
• mathematical methods for analyzing such phenomena.

The candidate knows the concept of conservation laws in electromagnetism.

Skills:

The candidate should be able to solve problems in electromagnetism by applying appropriate mathematical tools and methods, including:

• vector calculus beyond an introductory level
• the method of images, separation of variables, and Green functions.

The candidate should be able to write code to solve electromagnetic problems numerically.

General competence:

The candidate should get training in writing a scientific report.

Learning methods and activities

Lectures and problem solving. Compulsory programming project with written report. Expected workload in the course is 225 hours.

Compulsory assignments

• Project

Recommended previous knowledge

Knowledge of multivariable analysis at the level of TMA4105 Calculus 2 or MA1103 Vector calculus. Knowledge of electricity and magnetism at the level of FY1003 Electricity and magnetism.

Knowledge of programming at the level of TDT4110 - Information Technology, Introduction

Course materials

Will be announced at the start of the course.

Credit reductions