EC
Electromagnetism
Description
- Review on Electrostatics: Charges-coulomb law forces and fields. Superposition. Approach with fields lines and geometry. Electric fields created by discrete and continuous charges distribution. Calculation of fields created by geometricshapes (charged wire, plane, sphere…).Electrostatic potential and energy- Gauss theorem.
- Magnetostatics: Biot and Savart law. Magnetic field created by geometric shapes (wire, loop ….of current). Magnetostatic energy.Vector potential. Ampere theorem. Helmoltz coils. Laplace force
- Induction: Lorentz induction: constant magnetic field and moving electric circuit. Laplace force Neumann induction: rigid circuit and time-dependent magnetic field. Lenz law. Self –induction. Illustrations with DC Motor/Generator; Synchronous motor; loudspeaker…
- Maxwell Equations: Fields and sources. Limit cases and connexion with previous topics: electrostatics; magnetostatics, generalinduction. D’Alembert wave equation in the vacuum. Consequences: charge conservation; Poynting vector and energy conservation.
- Dielectric media and applications: Bounded charge density and volumic polarization. Dielectric susceptibility (scalar). Wave equation in dielectrics (definition of optical index !!) Microscopical approach- frequency dependence-dispersion and absorption (to be seen as dispersion by a prism forinstance).
- Conducting media and applications: Free charge- Ohm law- wave equation in metals (diffusion and skin effect). Microscopical approach (plasma model). Skywaves in ionosphere
- Notions on semi-conductors.
Compétences visées
Understanding the basics of electromagnetic waves and its classical interaction with the matter.
Modalités d'organisation et de suivi
The course delivery is shared between three teachers all along the semester. It consists in 24 hrs lkecture courses and 24 hrs tutorials
Bibliographie
- Physics for Scientists and Engineers, Serway
- Electromagentism, Feynman