After successful completion of the course, students are able to

• understand the fundamentals of electrodynamics and apply them to engineering problems
• select suitable approximations and models for a given field problem and formulate the problem mathematically
• solve simple boundary value problems occuring in electrostatics and magnetostatics analytically
• use numerical methods for solving field problems and implement them in simple cases.

This course covers the fundamentals of classical electrodynamics and its application to engineering problems.

Subjects covered:

• Vector calculus: differential operators, integral theorems, curvilinear coordinate systems, Helmholtz theorem
• Electrostatics: Poisson equation, scalar potential, multipole expansion, Green's function, method of image charges, separation of variables
• Magnetostatics: vector potential, Biot-Savart law, magnetic moment
• Fields in materials: boundary conditions, polarization, magnetization
• Quasi-stationary fields: induction, skin effect, relaxation of charges
• Properties of electromagnetic fields: energy and momentum of fields, Poynting's theorem
• Electromagnetic waves: electrodynamic potentials, gauge transformations, Hertzian dipole, plane waves, Helmholtz equation
• Introduction to numerical simulation of field problems

The material is taught through lectures involving the students and is additionally illustrated by selected calculation examples and simulations.

Complementary exercises (360.255 UE Electrodynamics Exercises) are offered in parallel to this course to deepen the understanding and practice solving practical examples. By participating in these optional exercises, students can earn bonus points that will be added to the points earned in the written exams of this course

The joint briefing for both courses will take place during the first lecture on 06.03.2022 09:15 in EI9.

The grade is determined by two written partial exams. These exams include both theoretical questions as well as calculation problems.

Knowledge about the courses Electrical Engineering 1&2 and Mathematics 1&2 is required. In order to be able to register for this course, you must have already positively completed all courses in the modules Electrical Engineering Fundamentals (Module 1) and Mathematics Fundamentals (Module 2) as defined in the curriculum for electrical engineering.