Electromagnetism

The first part of this course aims to consolidate the concepts of magnetostatics and establish the relationships between 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 volume or wire circuits. The second part is devoted to the properties of fields and potentials in variable regimes. After introducing Faraday's law describing induction phenomena, we establish Maxwell's time-dependent equations. An energy treatment allows us to define electrical and magnetic energies, as well as the Poynting vector. We apply these concepts to various examples, such as electromechanical conversion and induction heating via eddy currents. The final chapter is devoted to the propagation equations of fields and potentials, and their application in systems assimilated to a vacuum, as well as in perfect conductors and insulators. The concept of skin depth is also introduced.

Know how to calculate Laplace's force in a wide variety of cases. Understand the meaning of Faraday's law and know how to orient fields and induced currents without calculation. Understand Maxwell's equations in variable conditions and know how to use their local form to calculate fields and induced currents. Master the concept of "monochromatic progressive plane wave" (OPPM). Know how to superimpose fields and calculate the expression of electromagnetic fields propagating in perfect conductors. Know how to calculate the associated electromagnetic energy and power.  

Electromagnetism of steady states: electrostatics and magnetostatics.

Basic properties of monochromatic plane waves: frequency, wavelength, phase, polarization direction, and propagation direction.

Recommended prerequisites:

Mathematical concepts: integral calculus on contours, surfaces, and volumes in Cartesian, cylindrical, and spherical coordinate systems. Gradient, divergence, and rotational operators. 

CT 100%