The objectives of the course are: to provide the student with an in-depth knowledge of the basic topics of classical electromagnetism using mathematical tools acquired in mathematics courses and acquiring new ones during the course. Learn methods for solving some electromagnetism problems. Understand the relevance of electromagnetic phenomena for the understanding of natural phenomena and processes. The tools provided will allow the student to tackle more complex physical problems that he will face in the courses of electrodynamics, optics, special relativity etc.


D1 - KNOWLEDGE AND UNDERSTANDING
The student must have acquired a knowledge of the laws of electromagnetism in integral and differential formulation which allows him to understand the natural processes involving electric charges, currents and magnetic fields.

D2 - ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING
The student must be able to apply the knowledge acquired to solve problems of classical electromagnetism such as the determination of electric and magnetic fields produced by distributions of charges and currents, the resolution of electrical circuits.

D3 - INDEPENDENT JUDGMENT
The student must be able to: 1) deal with electromagnetism problems by identifying which tools learned in the course are the most appropriate to find the solution, 2) present a theoretical argument on EM using the fundamental laws, defining what the experimental basis of these laws are, their mathematical expression and arrive at the explanation of electromagnetic phenomena.

D4 - COMMUNICATION SKILLS
The student will be able to express in written form the mathematical procedures that lead to the solution of an assigned electromagnetism problem. Orally, they will be able to express the concepts of electromagnetism in simple but formally correct language, also using the appropriate mathematical language.

D5 - LEARNING ABILITY
The student will acquire the ability to learn the knowledge necessary to understand electromagnetic phenomena using basic texts on the topic but will also be encouraged to begin reading and understanding more specialized and advanced texts. He/she must be able to apply the basic knowledge acquired to address the more complex problems related to electromagnetic theories that he/she will encounter in the more advanced courses.

Basic mathematical knowledge of analysis, vector and integral calculus. Basic knowledge of mechanics.

1. Complements of differential calculus: gradient, divergence and rotor: definitions and related theorems
2. Electrostatics: electric field, divergence and rotor of electrostatic fields, electric potential, work and energy in electrostatics, conducting materials. Laplace and Poisson equations. Image method.
3. Electric fields in matter: polarization, field of a polarized object, interaction between charges, dipoles and induced dipoles. Electric displacement field
4. Magnetostatics: the Lorentz force, Biot Savart's law, the divergence and the rotor of the magnetostatic field, the vector potential, Hall effect.
5. Magnetic fields in matter: dia-para- and ferromagnetism. Hysteresis loop. Permanent magnets. Magnetic circuits.
6. Electrodynamics: electromotive force, electromagnetic induction, Maxwell's equations
7. Circuits and currents. Direct currents and alternating currents. Resonant circuit.

1. Griffiths: Introduction to Electrodynamics- 4th Edition. Cambridge
2. Tommasini Morgante Correnti, radiazioni e quanti.
3. Feynman Lectures on Physics.

1. Complements of differential calculus: gradient, divergence and rotor: definitions and related theorems
2. Electrostatics: electric field, divergence and rotor of electrostatic fields, electric potential, work and energy in electrostatics, conducting materials. Laplace and Poisson equations. Image method.
3. Electric fields in matter: polarization, field of a polarized object, interaction between charges, dipoles and induced dipoles. Electric displacement field
4. Magnetostatics: the Lorentz force, Biot Savart's law, the divergence and the rotor of the magnetostatic field, the vector potential, Hall effect.
5. Magnetic fields in matter: dia-para- and ferromagnetism. Hysteresis loop. Permanent magnets. Magnetic circuits.
6. Electrodynamics: electromotive force, electromagnetic induction, Maxwell's equations
7. Circuits and currents. Direct currents and alternating currents. Resonant circuit.

The course will be carried out with the presentation of the topics in frontal lessons with the involvement of students in problem solving. The theoretical lessons will be integrated with exercises in which students will face problems to solve both with the help of the teacher and independently, both general and more specific problems, similar to those they will have to face in the written test.

The final exam will consist of a written and an oral test. The written test will based on exercises to be solved autonomously by the student, approximately three, one for each of the main topics covered in the course: electrostatics, magnetostatics, introduction to electrodynamics. The student will have to report the final formula, solution of the problem, possibly also a numerical result with the correct units, and the main mathematical steps that led him to the final solution so that the logical process followed is understandable. Students who pass the written test with the minimum score indicated at the beginning of the test will be able to take the oral exam, which will consist of open questions on the topics covered during the course. In the written test, candidates will approximately reach the minimum score if they demonstrate that they are able to tackle the problem starting from the appropriate basic knowledge and demonstrate that they are able to apply at least in part the methods of solving electromagnetism problems presented during the course. The maximum score will be obtained for an exact solution to the proposed problems. The final exam grade will take into account the result of the written exam but will mainly be determined by the student's ability to demonstrate in the interview, by answering the open questions, that they have acquired the main concepts of electromagnetism and are able to explain them and how the fundamental laws of electromagnetism, in particular Maxwell's equations, are used to interpret and explain electromagnetic phenomena.