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PHYSICS II

Academic year and teacher
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Versione italiana
Academic year
2022/2023
Teacher
CESARE MALAGU'
Credits
12
Didactic period
Annualità Singola
SSD
FIS/01

Training objectives

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Modulo: 55852 - FISICA GENERALE II - 1 PARTE
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The aim of the course is to teach the basics of classical electromagnetism, both in vacuum and in isotropic and homogeneous media, so that the student can achieve the skills to apply the basic laws to problems and solve them. This subject is at the basis of other courses taught for the degree in Physics. The course includes both theoretical (knowledge) and exercise classes, to provide students with problem solving ability.

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Modulo: 55853 - FISICA GENERALE II - 2 PARTE
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The aim of the course is to teach the basics of classical electromagnetism, both in vacuum and in isotropic and homogeneous media, so that the student can achieve the skills to apply the basic laws to problems and solve them. This subject is at the basis of other courses taught for the degree in Physics. The course includes both theoretical (knowledge) and exercise classes, to provide students with problem solving ability.

Prerequisites

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Modulo: 55852 - FISICA GENERALE II - 1 PARTE
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Notions in mathematics that are neccessary for the course are: cartesian, polar and cylindrical coordinate systems; trigonometry; vector algebra; integral and differential calculus of one variable functions.
Furthermore many of the notions taught during the course of Fisica Generale I are also necessary and the exam is propedeutic.

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Modulo: 55853 - FISICA GENERALE II - 2 PARTE
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Notions in mathematics that are neccessary for the course are: cartesian, polar and cylindrical coordinate systems; trigonometry; vector algebra; integral and differential calculus of one variable functions.
Furthermore many of the notions taught during the course of Fisica Generale I are also necessary and the exam is propedeutic.

Course programme

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Modulo: 55852 - FISICA GENERALE II - 1 PARTE
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Electrostatics: experimental aspects, electric charge; Coulomb’s law and electric field; superposition principle; electrostatic potential; electric dipole; vector field flow; Gauss law; Electrostatics equations.
Electrostatics and conductors: capacity; energy of a charged capacitor; capacitors (in series and in parallel).
Electric fields in matter: experimental aspects; molecular polarization; polar and non-polar dielectrics; dielectric polarization vector; surface charge density and volumetric polarization on a dielectric; polarization current; electric induction vector; divergence of electric induction field; electric susceptibility and dielectric constant of a isotropic dielectric; electrostatic potential in dielectrics; continuity condition of the electric and electric induction field at the interface between two isotropic dielectrics; electrostatic field energy; force on a dielectric in a charged capacitor; dielectric strenght. In the first four weeks (total 20 hours).

Electric current in conductors: electromotive force; vector current density and electric current intensity; conservation principle of electric charge; Ohm’s law; Joule effect; resistors (in series and in parallel). Kirchhoff’s laws.

Magnetostatics: sources of magnetic field and experimental aspects; Biot-Savart law; I and II Laplace laws; Ampere definition; magnetic dipole moment of a coil; circulation of a vector field and Ampere’s theorem; Gauss law for magnetic field; magnetostatic equations in integral and differential form. In the second four weeks, the next 20 hours.
Magnetic fields in matter: orbital magnetic dipole moment and spin in the atom due to electrons; magnetic field effects in different substances – diamagnetism and paramagnetism; intensity of magnetization; surface and volumetric magnetization current density; Ampère law in matter; intensity of magnetic field vector; magnetic susceptibility and permeability; condition of magnetic field and magnetic induction field at the interface between magnetic isotropic and homogeneous substances; ferromagnetism; Hopkinson’s law; magnetic field energy; force acting on magnetic substances in the presence of magnetic fields. 20 hours in the last 4 weeks of the first semester.
The second module will begin with electromagnetic induction: Lorentz force; Faraday’s law of induction and Lenz’s law; rotor of electric field; self-induction phenomenon; power store by an inductance; RL circuit; mutual inductance. The first four weeks for a total of 20 hours.
Maxewll’s equations and electromagnetic waves; displacement current; Maxwell’s equation in vacuum in integral and differential form; Maxwell’s equations in matter; waves equation in electromagnetism; light velocity; plane waves in vacuum; Poynting vector; energy and momentum of a plane wave; radiation pressure; linear and circular polarization. The following six weeks for a total of 30 hours.
Reflection and refraction in isotropic and homogeneous media. Snell's law and total internal reflection. Brewster's angle; geometric optics; Fermat’s principle; spherical mirror; spherical diopter; equation of thin lenses; interference; Huygens principle; diffraction; resolution power. Young’s experiment. The last two weeks for a total of 10 hours.


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Modulo: 55853 - FISICA GENERALE II - 2 PARTE
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Electrostatics: experimental aspects, electric charge; Coulomb’s law and electric field; superposition principle; electrostatic potential; electric dipole; vector field flow; Gauss law; Electrostatics equations.
Electrostatics and conductors: capacity; energy of a charged capacitor; capacitors (in series and in parallel).
Electric fields in matter: experimental aspects; molecular polarization; polar and non-polar dielectrics; dielectric polarization vector; surface charge density and volumetric polarization on a dielectric; polarization current; electric induction vector; divergence of electric induction field; electric susceptibility and dielectric constant of a isotropic dielectric; electrostatic potential in dielectrics; continuity condition of the electric and electric induction field at the interface between two isotropic dielectrics; electrostatic field energy; force on a dielectric in a charged capacitor; dielectric strenght. In the first four weeks (total 20 hours).

Electric current in conductors: electromotive force; vector current density and electric current intensity; conservation principle of electric charge; Ohm’s law; Joule effect; resistors (in series and in parallel). Kirchhoff’s laws.

Magnetostatics: sources of magnetic field and experimental aspects; Biot-Savart law; I and II Laplace laws; Ampere definition; magnetic dipole moment of a coil; circulation of a vector field and Ampere’s theorem; Gauss law for magnetic field; magnetostatic equations in integral and differential form. In the second four weeks, the next 20 hours.
Magnetic fields in matter: orbital magnetic dipole moment and spin in the atom due to electrons; magnetic field effects in different substances – diamagnetism and paramagnetism; intensity of magnetization; surface and volumetric magnetization current density; Ampère law in matter; intensity of magnetic field vector; magnetic susceptibility and permeability; condition of magnetic field and magnetic induction field at the interface between magnetic isotropic and homogeneous substances; ferromagnetism; Hopkinson’s law; magnetic field energy; force acting on magnetic substances in the presence of magnetic fields. 20 hours in the last 4 weeks of the first semester.
The second module will begin with electromagnetic induction: Lorentz force; Faraday’s law of induction and Lenz’s law; rotor of electric field; self-induction phenomenon; power store by an inductance; RL circuit; mutual inductance. The first four weeks for a total of 20 hours.
Maxewll’s equations and electromagnetic waves; displacement current; Maxwell’s equation in vacuum in integral and differential form; Maxwell’s equations in matter; waves equation in electromagnetism; light velocity; plane waves in vacuum; Poynting vector; energy and momentum of a plane wave; radiation pressure; linear and circular polarization. The following six weeks for a total of 30 hours.
Reflection and refraction in isotropic and homogeneous media. Snell's law and total internal reflection. Brewster's angle; geometric optics; Fermat’s principle; spherical mirror; spherical diopter; equation of thin lenses; interference; Huygens principle; diffraction; resolution power. Young’s experiment. The last two weeks for a total of 10 hours.

Didactic methods

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Modulo: 55852 - FISICA GENERALE II - 1 PARTE
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The course is subdivided in 50% theoretical lessons and 50% exercise classes, the exercises referred to each topic are presented with an increasing degree of difficulty. The platform Classroom is used to provide students with the topics of the course.

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Modulo: 55853 - FISICA GENERALE II - 2 PARTE
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The course is subdivided in 50% theoretical lessons and 50% exercise classes, the exercises referred to each topic are presented with an increasing degree of difficulty. The platform Classroom is used to provide students with the topics of the course.

Learning assessment procedures

The level of preparation is verified at the end of the course by means of a written exam, with two excercises for each module of the course. The written exam focuses on the capability to solve problems and the oral exam on the theory, in the latter the student will be asked at least three questions to verify the acquired comprehension.

Reference texts

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Modulo: 55852 - FISICA GENERALE II - 1 PARTE
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Autori: Rosati, Lovitch. Titolo: Fisica Generale vol II. Editrice Ambrosiana.
Autori: Mazzoldi, Nigro, Voci. Titolo: Fisica. Volume 2. Casa editrice: EdiSES. ISBN: 978-8879591379
Autori: Focardi, Massa, Uguzzoni. Titolo: Fisica Generale: Elettromagnetismo. Casa editrice Ambrosiana. ISBN: 978-8808086198
Autori: Mencuccini, Silvestrini. Titolo: Fisica II. Elettromagnetismo-Ottica. Editore: Liguori. ISBN: 978-8820716332

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Modulo: 55853 - FISICA GENERALE II - 2 PARTE
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Autori: Rosati, Lovitch. Titolo: Fisica Generale vol II. Editrice Ambrosiana.
Autori: Mazzoldi, Nigro, Voci. Titolo: Fisica. Volume 2. Casa editrice: EdiSES. ISBN: 978-8879591379
Autori: Focardi, Massa, Uguzzoni. Titolo: Fisica Generale: Elettromagnetismo. Casa editrice Ambrosiana. ISBN: 978-8808086198
Autori: Mencuccini, Silvestrini. Titolo: Fisica II. Elettromagnetismo-Ottica. Editore: Liguori. ISBN: 978-8820716332