Single-Course Engelsk 10 ECTS

# Electromagnetics

## Overall Course Objectives

The students must acquire knowledge about the concepts and mathematically formulated laws of electromagnetics, enabling them to understand electromagnetic phenomena in nature and technology and solve simple technical problems.

See course description in Danish

Learning Objectives

• define and apply rectangular, cylindrical, and spherical coordinate systems as well as vector analytical concepts – gradient, divergence, and curl – to describe spatial electromagnetic fields
• define electric, magnetic, and electromagnetic fields, as well as other central concepts; e.g. charge density, current density, flux density, scalar and vector potentials, and calculate these for simple electromagnetic configurations
• explain the interaction of materials with electromagnetic fields via polarization, conduction, and magnetization; describe this with permittivity, conductivity, and permeability, and calculate capacitance, resistance, and inductance in simple cases
• explain and apply the general Maxwell’s equations with constitutive relations and boundary conditions, as well as reduce and apply these for special materials and/or time variations such as phasor-notation for time-harmonic fields
• explain energy and power for electromagnetic fields
• explain electromagnetic waves and define and apply parameters like wave number, intrinsic impedance, polarization, and propagation constant
• explain reflection and transmission of plane electromagnetic waves at plane boundaries and define concepts as, e.g. TM- and TE-polarization, reflection and transmission coefficients, standing wave ratio, total reflection, and Brewster angle
• calculate reflected and transmitted waves at plane boundaries
• explain the propagation of electromagnetic fields along transmission lines, and define and apply concepts such as voltage and current, characteristic impedance, and propagation constant
• design transmission line circuits such as quarter wave transformer and single-stub tuner by use of the Smith-chart
• apply Danish as well as English electro-technical terminology.

Course Content

Resumé of vector analysis, static electric fields, steady electric currents, static magnetic fields, time-varying fields, Maxwell’s equations, plane electromagnetic waves, and transmission lines.

Recommended prerequisites

34600/30015/34601/01005, The course requires a fundamental knowledge of electromagnetic quantities (charge, current, and field), mathematics (scalar and vector functions of multiple variables, vector analysis), and circuit theory.

Teaching Method

Lectures, group tutorials, home assignments, and laboratory exercises.

Faculty

Remarks

The learning objective for applying Danish and English electro-technical terminology is due to the central position of the course in the BSc Electrical Engineering education. Danish-speaking students must acquire the Danish as well as the English electro-technical terminology, while non-Danish-speaking students must acquire the English electro-technical terminology.

See course in the course database.

## Registration

Language Engelsk 13 weeks Space DTU Lyngby Campus Electro 30400 Bachelor Week 36 Week 49 Mon 8-12, Thurs 13-17
Price 18.500,00 DKK