Electromagnetism

The first part of this course is designed to consolidate the concepts of magnetostatics and establish the relations between the electromagnetic field at the interface of a plane of charges or currents. 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 the 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 various examples, such as electromechanical conversion or induction heating via eddy currents. A final chapter is devoted to the equations of field and potential propagation, and their application in vacuum-like systems, as well as in perfect conductors and insulators. The notion of skin depth is also introduced.

Calculate Laplace's force in a wide variety of cases. Know the meaning of Faraday's law and be able to orientate induced fields and currents without calculation. Master Maxwell's equations in variable regime and know how to use their local form to calculate induced fields and currents. Master the notion of monochromatic traveling plane wave (OPPM). know how to superimpose fields and calculate the expression of an electromagnetic field propagating in perfect conductors. Calculate energy and associated electromagnetic power.  

Steady-state electromagnetism: 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. 

100% CT