## Learning outcomes of the course unit

The aims of this course are pointed out as follows: 1) knowledge of the electromagnetism basic notions 2) resolution of some simple problem, 3) applications of the classical electromagnetism . Then in this course, although the rigorous formalism will be used, a great importance will be devoted to the exercises and the practical applications.

## Prerequisites

mathematics: vectors, derivative, integrals and resolution of simple differential equations

physics: point dynamics, rigid body dynamics , gravity

## Course contents summary

The following plane is divided in two parts: in the first one the basic arguments, which the student must knowledge, are listed; in the second one there are arguments that will be considered according to the available time and to the answer of the students.

A) Basic arguments

A1) Static electric field: electrical charge, Coulomb's law, electric field, Gauss's law and 1st Maxwell equation, electrical potential, electrical, conductors, electrical capacitance, capacitors, arrangement in series and in parallel, energy of the electric field; the polarization of matter, electric susceptibility

A2) Electrical current : current density, electrical resistance and Ohm law, dissipation and the Joule effect, electromotive force e generatori elettrici,electrical circuits in c.c.

A3) Static magnetic field : Lorentz force, magnetic induction vector, magnetic force on an electric current, magnetic moment of a closed current loop, mechanical and magnetic moment, fields produced by electric currents, Biot e Savart's law (magnetic field of rectilinear current of a circular current and of a solenoidal circuit), 2st Maxwell's equation, Ampere's theorem.

A4) Time dependent magnetic field: induzione elettromagnetica, Faraday-Newmann'law, 3st and 4st Maxwell' equations, self-induction, RL circuit, magnetic energy;

A5) Waves: waves propagation, wave equation, kinds of waves, phase velocity, Electromagnetic

waves, equation of the electromagnetic waves and their properties, plane and sferical waves, energy

of an electromagnetic wave and Poynting vector, spectrum of the electromagnetic radiation

B) Additional arguments

B1) Polarization of matter: dielectric constant, microscopic interpretation, electrical suscettivity

B2) Magnetism in the materia : B,H and M vettors, paramagnetism, ferromagnetism , diamagnetism, Curie's law, hysteresis

B3) Polarization of the ligth: birefringence and quarter-wave and half-wave plates

B4) Ottica: Fermat's principle , reflection and refraction (mirror and lens), interference

(Young'experiment); diffraction e resolving power

## Recommended readings

All the texts of Elettromagnetism for scientific courses.

The lectures are often extracted by C. Mencuccini, V.Silvestrini "Fisica II: elettromagnetismo Ottica", Liguori Editore

## Teaching methods

1) theoretical lectures at the blackboard by developing each argument with completeness(without neglect the calculations and the denstrations)

2) exercises that each student carries out with my guide after that I eleborated some typical example at the blackboard