## 20410013 - FISICA GENERALE II

Obtain the basic knowledge of classic electromagnetism (both in vacuum and in matter), of physical and geometrical optics, and of Special Relativity.
Develop the ability to solve problems related to the abovementioned topics, making use of the appropriate mathematical tools.
teacher profile | teaching materials

Programme

Electric charge. Coulomb force. Quantization of the c.e.
The electric field. The electrostatic potential. The electric dipole.

Gauss theorem. Electrostatic screen. Capacity'. Capacitors.
Series and parallel capacitors. The general problem electrostatics. Energy of the electrostatic field.

The dielectric constant. Polarization by deformation and orientation.
The vector Electric polarization. The equations of electrostatics in the presence of dielectrics. The vector D.

EMF Electric current and current density. Ohm's law.
Joule effect. Resistances. Series and parallel resistors.
Voltage generators. Kirchhoff's laws. Conduction in liquids and in gases.

Magnetic induction field. Lorentz force.
Magnetic field generated by a moving charge. Laplace's laws.
Divergence of B. Electrodynamic forces. Magnetic moment of a coil. Ampere's theorem. Electromagnetic induction.
Faraday-Neumann's law. Self and mutual induction. Displacement current.

Magnetic moment of an electron. Magnetic polarization.
Surface and volume current density. Fundamental equations magnetostatics in the presence of matter. the vector H. Materials dia-, para- and ferromagnetic. Larmor Precession. Polarization by orientation.

Electromagnetic waves. Wave equation. Plane waves.
Waves in dielectrics. Poynting vector. Doppler effect. Reflection and refraction. Light scattering. Huygens-Fresnel principle.
Interference. Diffraction. Geometric optics: mirrors, diopters, lenses.

Postulates. Time dilation and length contraction.
Lorentz transformations. Four vectors. Lorentz invariants.
Mass and energy. Minkowski's strength. Doppler effect. four-vector current density. Electromagnetic tensor.

Core Documentation

Fisica 2. Elettromagnetismo-ottica. Corso di fisica per le facoltà scientifiche. Con esempi ed esercizi
Liguori Editore

Type of delivery of the course

the lessons traditionally take place frontally, in the classroom, with the help of demonstrations and exercises on the blackboard

Type of evaluation

The exam includes a written test and an oral test; during the lesson period 2 itinere tests are organized which, if successfully passed, can exempt from the written text

teacher profile | teaching materials

Programme

Electrostatic. Fundamental phenomena. Electric charge. Coulomb force.
Quantization of the e.g. The electric field. The electrostatic potential. The dipole
electric.
Electrostatics and conductors. Gauss theorem. Electrostatic screen. Capacity. Capacitors. Capacitors in series and in parallel. The general problem
electrostatics. Energy of the electrostatic field.
Electrostatics in the presence of dielectrics. The dielectric constant. Polarization by deformation and orientation. The vector Electric polarization.
The electrostatic equations in the presence of dielectrics. The vector D ~.
Electric current. EMF Electric current and current density. Law of
Ohm. Joule effect. Resistances. Resistance in series and in parallel. Generators of
voltage. Kirchhoff's laws. Conduction in liquids and gases.
Magnetic field in a vacuum. Magnetic induction field. Lorentz force.
Magnetic field generated by a moving charge. Laplace's laws. Divergence of
B ~. Electrodynamic forces. Magnetic moment of a spire. Ampere theorem.
Electromagnetic induction. Faraday – Neumann law. Auto and mutual induction.
Displacement current.
Magnetic field in matter. Magnetic moment of an electron. Magnetic polarization. Surface and voluminous current density. Fundamental equations of magnetostatics in the presence of matter. the vector H ~. Dia-, materials
para- and ferromagnetic. Precession of Larmor. Polarization by orientation.
Optics. Electromagnetic waves. Wave equation. Flat waves. Waves in the
dielectrics. Poynting vector. Doppler effect. Reflection and refraction. Light scattering. Huygens-Fresnel principle. Interference. Diffraction. Optics
geometric: mirrors, diopters, lenses.
Introduction to restricted relativity. Postulates. Time dilation and length contraction. Lorentz transformations. Four vectors. Invariant
of Lorentz. Space-time distance. Speed. Energy-pulse four-vector.
Mass and energy. Minkowski's force. Doppler effect. Four-vector density
current. Electromagnetic tensor.

Core Documentation

Fisica-Elettromagnetismo e Ottica (Corrado Mencuccini e Vittorio Silvestrini), ed. Ambrosiana

Esercizi di Fisica-Elettromagnetismo e Ottica (Corrado Mencuccini e Vittorio Silvestrini), ed. Ambrosiana

Type of delivery of the course

The exercises are held in the traditional way in the classroom and in the presence

Type of evaluation

The exam includes a written test and an oral test. The written test can be anticipated during the period where lectures are given and in this case it is spilt in two parts, the first related to the part 1 of the program, the second related to the part 2,3 and 4. Each test last 3 hours. Alternatively, the student can give a single written examination, there are 2 possibilities for each session of exams. The duration of the examination is 3 hours like in the previous case, but the test includes arguments discussed in all 4 parts of the program. The written test includes excersizes that are used to test the ability of the student to use the concepts that he has learned to solve real physics problems in electromagnetism: like the calculation of magnetic and electric fields, the computation of the charge and current variation in a circuit, the propagation of light through an optical system. The oral part is typically 30 minutes long, and it is used to verify that the student has learned the basic notions of the course and he is able to demonstrate the most relevant theorems. The oral exam evaluates the level of understanding of the concepts deployed in the program by the student, the acquisition of the proper language and terminology of the field, the clarity in the exposition and the ability to produce deductions from what has been studied.