Dynamic Electromagnetics (5cr)

Objectives

The student can explain electromagnetic induction and apply Lenz's and Faraday's laws. The student can explain how eddy currents are related to induction and the distribution of fields in conductors.The student can write Ampere-Maxwell's law and interpret it in special cases. The student can write Gauss's laws for electric and magnetic fields and explain their contents. The student understands the nature of Maxwell's equations as universal laws of nature. The student can write constitutive equations and use them together with Maxwell's equations in solving electromagnetics problems. The student knows how the electromagnetic wave equation is formed from Maxwell's equations. The student can define a monochromatic plane wave and determine its key parameters. The student is aware that a wave attenuates when passing through a conducting medium and understands the factors influencing attenuation. The student knows that a wave reflects and refracts at a material interface and partially penetrates the interface. The student comprehends that predictions for these phenomena are derived from interface conditions. They can determine reflection and transmission coefficients at the interface.The student can explain how the polarization of an electromagnetic wave is determined and describe linear, circular, and elliptical polarization.The student is familiar with the meanings of the terms in Poynting's theorem and understands its role as a law of energy conservation. They can connect the terms to the operation of linear circuit components. The student can explain what electrical size of a device is at a chosen operating frequency and understand its significance concerning the applicability of circuit theory.The student can interpret simulation results of time-dependent electromagnetic problems and justify modeling assumptions based on electromagnetic theory. The student can employ mathematical analysis at the university level for problem-solving.

Content

Electromagnetic induction, Lenz's and Faraday's laws. Eddy currents. Ampere-Maxwell's law, displacement currents. Maxwell's equations and constitutive equations, interface conditions. Fundamentals of wave phenomena. Utilization of phasor analysis in field problems. Monochromatic plane waves (dielectric and lossy media, material interfaces), reflection, attenuation, polarization. Electromagnetic energy/power, Poynting's theorem. Example applications and their modeling principles (transformers, antennas, electric machines, ...).

Further information

The course covers time-dependent electromagnetic phenomena, including electromagnetic induction and electromagnetic wave phenomena, along with example applications (transformer, electromagnetic generator, simple antennae,...).