The course explains the fundamental laws of classical Electromagnetism, including the propagation of light considered as an electromagnetic wave.

The goal is the acquisition of the basic principles, physical meanings and experimental evidences of the classical electromagnetism as described by the Maxwell’s equations (both in integral and differential form). Electrostatics, magnetostatics, induction and wave phenomena are treated. Expected outcomes: the ability to autonomously apply the acquired knowledge to the analysis and solution of stationary, time dependent electromagnetic problems is an important expected skill outcome. The fundamental applications of each law are presented to the aim of providing the student with a method for the interpretation of the physical phenomena at the basis of many engineering problems in ICT.

Good knowledge and mastery of the mathematical instruments learnt in the course of Mathematical Analysis I and II and of Geometry are required. Tools and concepts from the course of Physics I are an important prerequisite. In particular, Electrostatics in vacuum is treated in the Physics I course and must be already known, being fundamental for the comprehension of all the Physics II topics. However, a brief recap of electrostatic in vacuum will be offered at the beginning.

Stationary electric fields (~10 hours -1cr) A summary of: Coulomb's law, electric field and potential, motion of a charge in a uniform electric field. Discrete and continuous charge distributions. Electric dipole, force and torque on an electric dipole in an electric field. Gauss' law for the electric field. Capacity and capacitors. Energy of the electric field. Conductivity, Ohm's law, Joule's effect. Stationary magnetic fields (~15 hours-1.5cr) Magnetic force on a moving charge, Lorentz's force, motion of a charge in a uniform magnetic field. Magnetic force on electric currents, magnetic torque on rectangular and any shape circuits, magnetic dipole. Sources of magnetic field: Ampère-Laplace's law, application to rectilinear (Biot-Savart's law, forces between currents) and circular loops. Infinite and finite solenoids. Ampère’s law. Gauss' law for the magnetic field. Maxwell’s equations in differential and integral forms for static fields. Time-dependent fields (~15hours-1.5cr) Electromagnetic induction, Faraday's law, relative motion of conductor and magnetic field. Self-induction. Coupled circuits, mutual-induction. Energy of the magnetic field. Principle of conservation of charge, Ampère-Maxwell's law. Maxwell’s equations in differential and integral forms for time-dependent fields in vacuum. Electromagnetic waves (10 hours-1cre) Propagation of waves, a summary of elastic waves. Electromagnetic waves and wave equation (from Maxwell's equations). Energy, momentum, Poynting vector. Radiation pressure. Polarization of electromagnetic waves; oscillating electric dipole. Electromagnetic spectrum.

The course (5 credits) consists of class lectures (37.5 hours) and exercises (12.5 hours).

Reference text for lectures and exercises: P. Mazzoldi, M. Nigro, C. Voci, Fisica, Elettromagnetismo - Onde, vol. II, EdiSES, Napoli, 2010. Beside the many problems/exercises contained in the reference text indicated above, supplemental material as well as text and solutions of the classroom exercises will be made available online.

Slides; Libro di testo; Esercizi risolti; Video lezioni tratte da anni precedenti; Strumenti di simulazione;

Modalità di esame: Prova orale obbligatoria; Prova scritta in aula tramite PC con l'utilizzo della piattaforma di ateneo;

Exam: Compulsory oral exam; Computer-based written test in class using POLITO platform;

... Exam: Compulsory oral exam; Written exam in the classroom via PC using the university platform; Type of exam: Computer test; Compulsory oral exam; Reservation required. The exam evaluates the knowledge and understanding of the topics listed in the official program, together with their application and the solution of numerical and symbolic problems. Reservations are required in order to take the exam and must be made through the University Portal, strictly respecting the procedures and deadlines established by the Segreteria Didattica. During the tests, it is not allowed to use books, notes or other didactic material related to the course program. The use of personal calculators is not allowed. The use of the calculator on the LAIB computers is available. The exam is divided into the following parts: 1) multiple choice test, lasting half an hour, with 15 questions relating to both theoretical and applicative topics. The test is passed with a score of at least 15/30. The maximum score achievable in the test is 30/30. The test grade is obtained by assigning 2 points to each correct answer; 0 points for each answer not given; -2/3 to each wrong answer. 2) oral exam, which can only be accessed by students who have passed the multiple choice test referred to in point 1). The maximum grade achievable after the oral exam is obtained by also taking into account the test grade and is equal to 30/30. Exceptionally, a grade of 30 cum laude will also be assigned. The oral exam must be taken in the classroom according to the provisions in force for safety and distancing. The oral exam must be taken in the same session in which the test was passed, under penalty of forfeiture of the validity of the test itself, and may include the discussion of the test. The Electromagnetics exam is passed with an overall mark (test + oral) equal to 18/30. Important: A single final mark is registered for the Electromagnetics and Circuits course. The grade will be determined by a weighted average of the grade obtained in either module (ie Electromagnetics and Circuits). The examination of the two modules must be taken in the same academic year.

Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.