Electromagnetism

The first part of this course aims to reinforce the concepts of magnetostatics and to establish the relationships governing the behavior of the electromagnetic field at the interface of a plane of charges or currents. We also introduce the expression for Laplace’s forces (force and torque) acting on volumetric or filiform circuits. The second part is devoted to the properties of fields and potentials in a time-varying regime. After introducing Faraday’s law, which describes induction phenomena, we derive the time-dependent Maxwell’s equations. An energy-based approach 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 propagation of fields and potentials, and their application in systems approximated as a vacuum, as well as in perfect conductors and insulators. The concept of skin depth is also introduced.

Be able to calculate Laplace’s force in a wide variety of cases. Understand the significance of Faraday’s law and be able to determine the direction of induced fields and currents without calculation. Master Maxwell’s equations in time-varying conditions and be able to use their local form to calculate induced fields and currents. Understand the concept of a “monochromatic traveling plane wave” (OPPM). Be able to superimpose fields and calculate the expression for the electromagnetic field propagating in perfect conductors. Be able to calculate the associated electromagnetic energy and power.  

Steady-State Electromagnetism: Electrostatics and Magnetostatics.

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

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%