Course contents
a) Differential and Integral Calculus of Vector Fields The
gradient operator. Second order derivatives. Flux and circulation
of a vector field. Gauss' and Stokes' theorems.
b) Electrostatics. Coulomb's law. Electric field and electric
potential. Gauss theorem. Poisson equation. Dipole and multipoles.
Conductors and capacitors. Electrostatic energy. Dielectrics.
c) Steady electric currents. Continuity equation. Ohm's and
Joule's laws. Kirchhoff's laws.
d) Magnetostatics. Magnetic force on a current. Lorenz force.
Biot-Savart law. Laplace equations. Flux and circulation of
magnetic field. Potential vector. Ampere equivalence theorem. The
magnetism of matter.
e) The laws of induction. The physics of induction and the
Faraday law. Non conservative electric fields. Self-induction and
mutual induction. The magnetic field energy.
f) Maxwell equations. The Displacement current. General solution
with retarded potentials.
g) Wave. Wave equation. Plane and sperical waves.
Electromagnetic waves. Waves polarization. Field energy and field
momentum. Radiation pressure. Dipole radiation and Larmor formula.
Waves propagation in matter. Monocromaric waves and real waves.
Phase velocity and group velocity.
h) Limits of the classical electromagnetism. Photoelectric
effect.
i) Radiation of a charged particle.
1) Relativity. Galileo Transformations and their incompatibility
with Maxwell laws. Invariance of light speed. Lorentz
Transformations. Velocity composition. Length contraction and time
dilation. Proper time. Relativistic dynamics. Mass-energy
equivalence. Momentum and energy conservation. Scattering.
Electromagnetism in relativity. Transformations of E and B
fields.
Readings/Bibliography
a) Halliday, Resnick e Krane, FISICA 2, Casa Editrice
Ambrosiana
b) Amaldi et al., FISICA GENERALE, Zanichelli
c) Giacomelli e Gregorini, FISICA GENERALE - Elettromagnetismo e
Ottica, La Nuova Italia Scientifica
d) Gettys et al., FISICA 2, Elettomagnetismo-Onde-Ottica,
McGraw-Hill
e) Feynmann et al., "The Feynmann Lectures on Physics", Addison
Wesley
f) Bruno, D'Agostino, Santoro, Esercizi di Fisica -
Elettromagnetismo, Casa Editrice Ambrosiana
g) R. Resnick, Introduzione alla relativita' ristretta, Casa
Editrice Ambrosiana