Physics II M - Z

Academic Year 2023/2024 - Teacher: Agatino MUSUMARRA

Expected Learning Outcomes

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

Required Prerequisites

General Physics I, Calculus

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

Course Planning

 SubjectsText References
1Cariche elettriche; legge di Coulomb; Campo elettrostatico.cap 1 (Mazzoldi, Nigro, Voci)
2Potenziale elettrostatico; energia potenziale associata al campo elettrico. cap 2
3Teorema di Gausscap 3
4Conduttori; induzione elettrostatica; schermo elettrostatico; capacità di un conduttore isolato. Condensatori, collegamenti in serie e in parallelo.cap 4
5Dielettrici; Polarizzazzione; Equazioni di Maxwell in presenza di dielettrici.cap 5
6Conduzione elettrica; modello di Drude, legge di Ohm, corrente continua. Resistori in serie ed in parallelo.cap 6
7Campo magnetico; forza di Lorentz, leggi elementari di Laplace.cap 7
8Legge di Amperecap 8
9Mezzi magnetici, magnetizzazione, correnti amperiane.cap 9
10Campi elettrici e magnetici variabili nel tempo: legge di Faraday e legge di Ampere Maxwellcap 10
11Equazioni di Maxwell e onde elettromagnetiche nel vuotocap 13