27215 - General Physics 2

Academic Year 2019/2020

  • Docente: Paolo Capiluppi
  • Credits: 13
  • SSD: FIS/01
  • Language: Italian
  • Moduli: Paolo Capiluppi (Modulo 1) Francesca Pozzi (Modulo 2)
  • Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
  • Campus: Bologna
  • Corso: First cycle degree programme (L) in Astronomy (cod. 8004)

Learning outcomes

At the end of the course, the student has the basic knowledge of classical electromagnetism and special relativity. Acquires the skills necessary for solving elementary problems.

Course contents

Module 1

a) Elements of differential and integral vector calculus. Scalar and vector fields. Gradient operator. Flow and circulation in vector fields. Theorems of Gauss and Stokes .

b) Electrostatics. Electric charge. Coulomb's law. Electrical field and electrostatic potential. Field lines and equipotential surfaces. Gauss's law. Poisson equations . Electric dipole. Moments of multipole. Conductor electrostatics. General problem of electrostatics and Laplace equation. Electrostatic energy. Capacitors. Electric field in dielectrics.

c) The continuous electric current. Intensity of current and current density . Continuity equation . Laws of Ohm and Joule also in local form. Kirchhoff 's laws .

d) The constant magnetic field in the vacuum. Magnetic phenomena. Vector magnetic induction. Biot- Savart law . Laplace formulas. Lorentz force . Flow and circuitation of B. Divergence and rotation of B. Potential vector. Ampere equivalence theorem. Magnetic field in the matter.

e) Electromagnetic induction. Faraday's law. Non-conservative electric field. Self-induction and mutual induction. The energy of the magnetic field.

f) Maxwell equations. Displacement current.

g ) Solution of Maxwell equations with delayed potentials.

Module 2

Exercises on the topics of Module 1 and Module 2.

a ) Relativity . Transformations of Galileo and their incompatibility with the laws of Maxwell. Invariance of the speed of light. Lorentz transformations. Speed composition . Contraction of lengths and time dilation. Own time. Relativistic dynamics. Mass-energy equivalence. Conservation of the impulse and energy. Shock. Electromagnetism in relativity . Transformations for fields E and B.

b) Waves. The wave equation. Flat and spherical waves. Electromagnetic waves . Propagation rate and polarization states. Conservation of energy and Poynting vector . Quantities of motion of the electromagnetic field. Radiation pressure. Dipole radiation and Larmor formula . Wave propagation in material means. Monochromatic and non-monochromatic waves. Wave packages. Speed 'group and phase.

c) Limits of classical electromagnetism. Photoelectric effect.

d) Radiation of a charged particle.

Readings/Bibliography

a) Amaldi, Bizzarri, Pizzella, FISICA GENERALE, Zanichelli

b) Halliday, Resnick e Krane, FISICA 2, Casa Editrice Ambrosiana

c) Mencuccini, Silvestrini, FISICA Elettromagnetismo e Ottica, Casa Editrice Ambrosiana

d) R. Resnick, Introduzione alla relativita' ristretta, Casa Editrice Ambrosiana

e) Morosi, Problemi di fisica II per l’Università, La goliardica pavese

Teaching methods

Lecture at the blackboard and solution of problems in the classroom.

Assessment methods

Written exam with a solution of 3 problems in a maximum of 3 hours, to be overcome with a minimum grade (18/30) and a subsequent oral exam of about 30 min. The results of the writings are valid for the subsequent oral appeals of the session.

The final grade is the average of the marks written and oral.

During the course, two written tests will be proposed, each of 2 hours ( December and May), which, if both overcame (> = 18/30), will replace the written test for the summer exam session.

Office hours

See the website of Paolo Capiluppi

See the website of Francesca Pozzi