Physics II M - Z
Academic Year 2022/2023 - Teacher: Agatino MUSUMARRAExpected Learning Outcomes
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
Course Planning
| Subjects | Text References | |
|---|---|---|
| 1 | Cariche elettriche; legge di Coulomb; Campo elettrostatico. | cap 1 (Mazzoldi, Nigro, Voci) |
| 2 | Potenziale elettrostatico; energia potenziale associata al campo elettrico. | cap 2 |
| 3 | Teorema di Gauss | cap 3 |
| 4 | Conduttori; induzione elettrostatica; schermo elettrostatico; capacità di un conduttore isolato. Condensatori, collegamenti in serie e in parallelo. | cap 4 |
| 5 | Dielettrici; Polarizzazzione; Equazioni di Maxwell in presenza di dielettrici. | cap 5 |
| 6 | Conduzione elettrica; modello di Drude, legge di Ohm, corrente continua. Resistori in serie ed in parallelo. | cap 6 |
| 7 | Campo magnetico; forza di Lorentz, leggi elementari di Laplace. | cap 7 |
| 8 | Legge di Ampere | cap 8 |
| 9 | Mezzi magnetici, magnetizzazione, correnti amperiane. | cap 9 |
| 10 | Campi elettrici e magnetici variabili nel tempo: legge di Faraday e legge di Ampere Maxwell | cap 10 |
| 11 | Equazioni di Maxwell e onde elettromagnetiche nel vuoto | cap 13 |