## Learning objectives

At the end of the course the students will be able to:

− know the fundamental electromagnetic phenomena and their laws;

− understand the most important physical phenomena related to electromagnetism;

− solve exercises and problems regarding the basic principle of electromagnetism;

− apply the acquired knowledge on electromagnetism to different and more complex scenarios with respect to the ones explained in this course.

## Prerequisites

- - -

## Course unit content

Introduction on electromagnetism

Review of vector algebra

Electrostatics: electric charge; Coulomb’s law and electric field; Gauss’s law; electric potential; conductors, capacitance and dielectrics; current and resistance

Magnetostatics: magnetic force; magnetic field and currents; inductance and mutual inductance; magnetic properties of materials

Electromagnetic induction

Waves

Maxwell’s equations and electromagnetic waves

## Full programme

Each class corresponds to 2 hours

CLASS 1: Introduction on electromagnetism: electric and magnetic phenomena, definition of electrostatics, magnetostatics and dynamics

CLASS 2: Review of scalars and vectors, and of vector operations

CLASS 3: Electric charge, Coulomb’s law, electric field, field lines

CLASS 4: Flux, Gauss’s law

CLASS 5: Electrostatic potential energy, electric potential

CLASS 6: Electric field and electric potential relation, equipotential surfaces

CLASS 7: Exercises on Coulomb’s law, electric field, Gauss’s law, electric potential

CLASS 8: Electrostatic properties of conductor and dielectric materials

CLASS 9: Capacitance and capacitors

CLASS 10: Electric charge flux, resistance, Ohm’s law

CLASS 11: Exercises on capacitance, resistance, Ohm’s law

CLASS 12: Magnetic field, force acting on a conductor, magnetic moment acting on a loop, movement of charges in electric and magnetic fields

CLASS 13: Exercises on magnetic field, magnetic force, magnetic moment

CLASS 14: Biot-Savart law, Ampere’s law, magnetic force between conductors

CLASS 15: Applications of Ampere’s law, displacement current, modified Ampere’s law

CLASS 16: Magnetic flux, Gauss’s law for magnetism

CLASS 17: Inductance and mutual inductance, magnetic properties of materials

CLASS 18: Exercises on Biot-Savart law, Ampere’s law, force between conductors

CLASS 19: Law of electromagnetic induction, electromotive force, Faraday’s law, Ampere’s law

CLASS 20: Characterization of waves, wave equation, harmonic waves

CLASS 21: Wave energy, power and intensity, typical wave phenomena

CLASS 22: Maxwell’s equations, electromagnetic waves, plane electromagnetic waves

CLASS 23: Electromagnetic wave intensity, electromagnetic wave emission

CLASS 24: Exercises on waves and electromagnetic waves

## Bibliography

G. Cantatore, L. Vitale, “Gettys Fisica 2. Elettromagnetismo-Onde”, McGraw-Hill Education, 2016 (IV edizione)

F. T. Ulaby, U. Ravaioli, “Fondamenti di campi elettromagnetici”, Pearson, 2020 (VIII edizione)

## Teaching methods

The teaching activities include lessons carried out using multimedia presentations, videos and images (38 hours), and practice lessons (10 hours) carried out, if necessary, using software programs. During the lessons, frontal teaching alternates with moments of discussion with the students.

Additional teaching material used during the lessons is uploaded to the Elly web site of the course. The registration to the course is necessary to download the slides.

Students who are not attending to the course should periodically check the teaching material and the information provided by the professor on the Elly web site.

It should be noted that the teaching methods may be subject to change according to the actual health situation.

Further information about the lessons will be provided just before the beginning of the course.

## Assessment methods and criteria

The learning assessment is made with a written exam, normally with exercises and some questions on the topics developed during the lessons. The aim of the written exam, which has a duration of two hours, is to verify the student’s knowledge and the ability to apply the learned concepts to problems. The written exam, during which it is allowed the use of the calculator, is evaluated in the range 0/30. The honors are assigned only for perfect tests. The mark of the written exam is normally published within a week on the Esse3 web-site.

The online registration to the exam is mandatory and it is possible until one week before the exam date.

If, due to the health situation, it will be necessary to do online exams, the following procedure will be adopted:

− for sessions with many registered students, written online exam using Teams. The exam will be the same as the one done in presence;

− for sessions with few registered students, oral online exam using Teams with questions and simple exercises on the topics developed during the lessons. The mark will appear in Esse3 immediately at the end of the exam session.

The instructor will inform by email all the students registered to each session about the exam type they have to do after the end of the registration period, indicatively one week before the exam date. It is important to underline that the preparation required is the same for both oral and written exams.

Students are invited to read carefully all the guides available in the section “Oral exam” of the web-site http://selma.unipr.it/ before participating to the online exams.

Further information about the examination procedure will be given to the students during the lessons and made available on the Elly web-site of the course.

It should be noted that the learning assessment methods may be subject to change according to the actual health situation.

## Other information

Fisica generale 1 is propaedeutic to Elementi di elettromagnetismo.