# PHYSICS II M - Z

FIS/01 - 9 CFU - 1° Semester

### Teaching Staff

AGATINO MUSUMARRA

## Learning Objectives

The teaching of General Physics II aims at studying the laws of electromagnetism summarised in Maxwell's equations.

## Detailed Course Content

Vector fields and differential operators

Polar and axial vectors and their symmetries - gradient, divergence, curl and Laplace operator - Linear differential forms - Conservative fields, irrotational and solenoidal - Gauss' theorem - Theorem of Stokes - vector identities for the operators gradient, divergence and curl.

Electrostatic interactions in vacuum and in matter

Conservation, quantization of electric charge - Coulomb's Law - Electrostatic field and its properties - Potential and electrostatic field produced by discrete and continuous charged distributions - Motion of charges in electrostatic fields - The electric dipole - Interactions between a dipole and an electrostatic field - Energy and density of energy associated to the electric field - Conductors and insulators - Electrostatic equilibrium in homogeneous conductors - The Coulomb theorem - Power of the tips - Conductors systems: capacitors - Forces acting between conductors - Electrostatic field in the presence of homogeneous and isotropic linear dielectric - The electrical vectors D, E and P.

The electric current

Current density and equation of continuity - Ohm's Laws - Joule effect - Electromotive force - Resistors in series and parallel - RC circuit.

Interactions magnetostatic in vacuum and in matter

The magnetostatic field - Lorentz force - Biot and Savart law - The magnetostatic field properties: the flow field and magnetostatic Ampere's theorem - Magnetic fields produced by simple current distributions - The laws of magnetostatic in local form - Laplace elementary law - Self inductance coefficients of circuits - Forces and moments acting on a current in a magnetic field - Motion of charges in magnetic fields - Speed selector - Cyclotron and mass spectrometer - Magnetization of homogeneous and isotropic bodies - Dia, para- and ferromagnetism from the microscopic point of view - Magnetic field of a uniformly magnetized sphere - Extension of the laws of magnetostatic in matter - magnetic fields B, H and M.

Electric fields and magnetic variables

Electromagnetic induction - Lenz-Faraday-Neumann's law - RL Circuit - Energy and density of energy associated to a magnetic field - Displacement current - The laws of the electromagnetic field in the presence of matter - the laws of the electromagnetic field in the local form: Maxwell's equations.

Principles of optics

Linear, circular and elliptical polarizations - Reflection and transmission of electromagnetic waves - Snell's law - Total reflection - Reflection of electromagnetic waves by a conductive surface.

## Textbook Information

P.Mazzoldi, M.Nigro, C. Voci : Elementi di Fisica, Vol. 2 – Edi SES

J.D. Jackson : Elettrodinamica classica - Zanichelli

D. Halliday R. Resnick J. Walker Fundamentals of Physics, Vol. 2 Wiley

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