Level of study
BAC +2
ECTS
6 credits
Component
Faculty of Science
Hourly volume
54h
Description
The first part of this course aims to consolidate the notions of magnetostatics and to establish the relations of the electromagnetic field at the interface of a plane of charges or current. We also introduce the expression of Laplace forces (force and moment) acting on volumetric or filiform circuits. The second part is devoted to the properties of fields and potentials in variable regime. After introducing Faraday's law describing induction phenomena, we establish Maxwell's time-dependent equations. An energetic treatment allows us to define the electric and magnetic energies, as well as the Poynting vector. We apply these concepts to different examples such as electromechanical conversion or induction heating via eddy currents. A last chapter is devoted to the equations of propagation of fields and potentials, and to their application in vacuum-like systems, as well as in perfect conductors and insulators. The notion of skin depth is also introduced.
Objectives
Know how to calculate the Laplace force in various cases. To know the meaning of Faraday's law and to know how to orientate without calculation of induced fields and currents. To master Maxwell's equations in variable regime and to know how to use their local form to calculate induced fields and currents. To master the notion of "monochromatic traveling plane wave" (OPPM). To know how to superimpose fields and calculate the expression of electromagnetic field propagating in perfect conductors. To know how to calculate the energy and the associated electromagnetic power.
Necessary pre-requisites
Electromagnetism of stationary regimes: electrostatics and magnetostatics.
Elementary properties of monochromatic plane waves: frequency, wavelength, phase, direction of polarization and propagation.
Recommended prerequisites*:
Mathematical concepts: integral calculus on contours, surfaces and volumes in Cartesian, cylindrical, and spherical coordinate systems. Gradient, divergence, and rotational operators.
Knowledge control
CT 100%.