


Politecnico di Torino  
Academic Year 2009/10  
01ATDDR, 01ATDAX, 01ATDJA Electromagnetism and optics 

1st degree and Bachelorlevel of the Bologna process in Mechanical Engineering  Vercelli 1st degree and Bachelorlevel of the Bologna process in Civil Engineering  Vercelli 1st degree and Bachelorlevel of the Bologna process in Electronic And Computer Engineering  Vercelli 





Objectives of the course
the course is articulated substantially in three parts: electric and magnetic static interaction, timedependent electromagnetic fields, Maxwell equations and electromagnetic waves. In the first two parts the students will come supplied the physical base methods for the interpretation and the treatment of the phenomena involving static and timedependent electric and magnetic fields and some experimental applications will be treated. In the last part, the concepts of the electromagnetic waves propagation will be examined starting from the Maxwell equations.

Expected skills
The supplied physic arguments and methodologies will allow the student to deal with and solve problems of electric charges, voltages and currents and to treat and solve problems involving simple circuits with R, C and L components. He will be able to understand the operation of electric motors, trasformers and electromagnets. Calculations of the magnetic field, generated from currents, and electric field, generated from different charge distributions, could be evaluated. Moreover he will understand the mechanism of the electromagnetic waves propagations.

Prerequisites
It is necessary to know and to be able to apply base mathematics as trigonometry, vectors and vector algebra, derivatives, differential and integral calculus including line, surface and volume integrals. To the students it is strongly advised to follow the lessons and practices in classroom.

Syllabus
Electrostatics: Electric charge, charge conservation and Coulomb law ' Comparison with gravitational force ' Electrostatic Field and Potential ' Electrostatic field from discrete and continuous charge distribution ' Electric dipole ' Gauss' law ' Capacitance and condensers ' Energy and energy density of the electric field. Electrostatic in the matter: polarization of matter ' Electric displacement ' Dielectric costant ' Isotropic dielectrics. Conductors: Electrostatic field in a neutral and charged conductor ' Electrostatic field at the surface of a charged conductor ' Direct current ' intensity and current density ' Electrical resistence ' Ohm's law ' Conductors, insulators and semiconductors ' Joule effect ' Kirchhoff laws. Magnetostatics: The static magnetic field ' Lorentz force ' Magnetic field generated by a direct current ' Biot & Savart law ' Laplace laws ' Ampère law of magnetic circulation ' Hall effect ' Magnetic dipole. Magnetostatics in matter: magnetization of matter ' diamagnetic, paramagnetic and ferromagnetic materials ' hysteresis. Time dependent electromagnetic field: The FaradayHenry law ' Electromotive forces and induced currents ' Selfinduction ' RLcircuit  Magnetic field energy and energy density ' LC oscillating circuit ' Displacement current ' Time dependent Ampere law ' Maxwell's equations. Wave phenomena: Fundamentals of wave propagation ' Unidimensional electromagnetic waves ' Energy and momentum of a wave ' Poynting vector.

Laboratories and/or exercises
The practices have the scope to give an help for the understanding of the theory and to show the applications of the concepts explained during the lessons. All the arguments explained in the theory are deal to you with attention.

Bibliography
Halliday, Resnick, Walker: Fundamentals of Physics, 7th Edition.
Chapter 2144; E&M and Modern Physics. Richard Phillips Feyman: Feyman Lectures on Physics, Editor: Leighton ' Sands 
Revisions / Exam
The exam consists of two parts. The first one is a written test with an exercise to solve. The second one is the theoretical part, constituted from one series of quizzes. The marks obtained in each test, higher than the corresponded threshold, will be appropriately mediated in order to get the final grade.

