Static Electromagnetics (5cr)

Objectives

The student is able to explain what a stationary electric field, a static electric field, and a static magnetic field are, as well as their basic laws. They can elucidate the fundamental observations on which the previous models are based and explain the basic parameters/quantities used in electromagnetic field models. The student can integrate Kirchhoff's voltage law, Kirchhoff's current law, and Joule's law into the laws of static field problems. They can formulate the constitutive equations for conductors, insulators, and magnetic materials and explain, at a general level, the phenomena modeled by these equations. The student can analytically calculate quantities related to static electric and magnetic fields, as well as steady current fields, in basic scenarios. They understand how interface conditions are derived from Maxwell's laws and can apply them in basic cases. The student is capable of employing mathematical analysis at the university level to solve problems. The student can interpret simulation results of static field problems and justify modeling assumptions based on electromagnetic theory. They can explain how the energy of an electromagnetic system is stored and how force interactions are related to the system's energy.

Content

Basic concepts of electromagnetics, Maxwell's static equations, and constitutive equations.Fundamental operations of vector analysis, field quantities. Directional derivative, gradient, curl, and divergence. Path, surface, and volume integrals, along with their associated integral theorems.Development and basic postulates of electromagnetic theory.Static current problem, electric potential, current density, conductivity. Derivation of Kirchhoff's laws and the resistor circuit model from the basic laws of electromagnetism.Static electric field, permittivity, electric dipole, polarization. Coulomb's and Gauss's laws. Capacitor and capacitance in terms circuit and field quantities.Static magnetic field, magnetic dipole, magnetization, hysteresis, magnetic circuits. Ampère's, Gauss's, and Biot-Savart's laws. Inductor and inductance in terms circuit and field quantities.Maxwell's equations in integral and differential forms.Interface conditions for field quantities.Energy stored in electromagnetic fields.

Further information

The course introduces static electromagnetic phenomena and their modeling. Students will practice using necessary mathematical tools and modeling software, building an understanding of various phenomena in electromagnetics and the effects of materials on them.