


Politecnico di Torino  
Academic Year 2012/13  
17AXPMN, 17AXPLN Physics II 

1st degree and Bachelorlevel of the Bologna process in Mechanical Engineering  Torino 1st degree and Bachelorlevel of the Bologna process in Automotive Engineering  Torino 





Contents
Vector Calculus (4 hours)
Scalar and vector fields. The nabla operator. Gradient, divergence, cross product. Flux and circulation of a vector field. Gradient theorem, Gauss' and Stokes' theorems. Continuity equation. Stationary electric fields (21 hours) A summary of: Coulomb's law, electric field and potential, motion of a charge in a uniform electric field. Discrete and continuous charge distributions. The electric dipole, force and torque on an electric dipole in an electric field. Gauss' law for the electric field. Polarization of matter, the electric displacement vector. Capacity and capacitors. Energy of the electric field. Conductivity, Ohm's law, resistors, Joule's effect. The electromotive force. Stationary magnetic fields (12 hours) Magnetic force on a moving charge, Lorentz's force, motion of a charge in a uniform magnetic field. Cyclotron, mass specrometer, the classical Hall effect. Magnetic force on electric currents, magnetic torque on rectangular and any shape circuits, magnetic dipole. Orbital and spin magnetic dipole. Sources of magnetic field: AmpèreLaplace's law, application to rectilinear (BiotSavart's law, forces between currents) and circular loops. The indefinite solenoid, results for the finite solenoid. Ampère’s law. Gauss' law for the magnetic field. Magnetization of matter: phenomenology, magnetic suscettivity, diamagnetic, paramagnetic and ferromagnetic materials, first and second Curie's law, magnetic hysteresis. Maxwell’s equations in differential and integral forms for static fields. Timedependent fields (12 hours) Electromagnetic induction, Faraday's law, relative motion of conductor and magnetic field. Selfinduction. Transients: firstorder circuits, RL and RC. Coupled circuits, mutualinduction. Energy of the magnetic field. The principle of conservation of charge, AmpèreMaxwell's law. Maxwell’s equations in differential and integral forms for timedependent fields in vacuum and in matter. Electromagnetic waves (6 hours) Propagation of waves, a summary of elastic waves. Plane electromagnetic waves as solutions of Maxwell's equations. Energy, momentum, Poynting vector. Radiation pressure. Polarization of electromagnetic waves; oscillating electric dipole. Electromagnetic spectrum. Waves propagation phenomena (5 hours) Reflection and refraction: HuygensFresnel's principle, laws of reflection and refraction, absolute and relative refraction index, total reflection. Interference: wave composition, coherent and incoherent sources, Young's experiment. Fraunhofer's diffraction by a rectangular slit. Diffraction gratings. 
Texts, readings, handouts and other learning resources
Lectures: reference text
P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica: Elettromagnetismo  Onde", vol. II, EdiSES , Napoli, 2010. Lectures: supplemental texts M. Alonso, E. J. Finn, Physics, AddisonWesley, 1992. P. Mazzoldi, M. Nigro, C. Voci, Fisica, Elettromagnetismo  Onde, vol. II, EdiSES, Napoli, 2010. C. Mencuccini, V. Silvestrini, Fisica 2  Elettromagnetismo e Ottica, Liguori Editore, 1988. Exercises Text and solutions of the classroom exercises will be available online. The following exercises collections may be recommended: A. C. Sparavigna, Esercizi di elettromagnetismo, Soc. Ed. Esculapio, Bologna, 2012. A. Tartaglia, 300 Esercizi svolti di elettromagnetismo e ottica, Editrice Levrotto&Bella, Torino, 1998. P. Pavan, P. Sartori, Problemi di Fisica II risolti e commentati, Casa Editrice Ambrosiana, 3a edizione, 2006. 
Assessment and grading criteria
The examination consists of two parts (both compulsory):
1) first a testonline at the Politecnico's LAIB; 2) then an oral examination. 1) The LAIB test lasts one hour and consists of thirty (30) multipleanswer questions, concernign both theoretical topics and exercises. Reservation is mandatory and is to be done online through the Portale della Didattica, according to the procedures and within the deadlines set out by the Politecnico Didactic Secretary. Students must show their personal Politecnico badge and a valid ID card to be admitted at the LAIB for the test. Consulting any kind of book or material is forbidden during the test. The LAIB test is a multiplechoice exam. A choice between five answers is given for each question: a right one, three wrong ones, and one stating "non so" ("I don't know"). The points associated to the diverse answers are: +1 for the right one, 1/3 for each of the wrong ones, 0 for "non so". On a scale of 30, the test is therefore scored as follows: (total number of right answers) − (1/3) (total number of wrong answers) + 3. 2) Students whose LAIB test scores 18/30 or higher are admitted to the oral examination. In particular: if 18/30 ≤ test score < 23/30, the student can perform only a validation oral exam, whose final grade ranges from failure to the test score; if test score ≥ 23/30, the student can choose between the validation oral exam (with highest possible final grade 23/30) and the traditional oral exam (final grade ranging from failure to 30/30). N.B. The oral exam must be taken within the same "appello" in which the LAIB test has been passed. After this deadline, the LAIB test score won't be valid any more and a new test must be passed. 
