Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

Vectors, derivatives of functions, differential equations, integral calculus, differential operators, coordinate systems, the basic physical concepts: forces, work, energy, power

Know and understand the issues and applications of electromagnetic fields also in areas of biomedical interest ; knowledge of the principles of the interaction of the electromagnetic field and the biological matter; the diagnosis and classification of the most common em phenomena; be able to estimate the physical quantities involved in electromagnetic phenomena.

The course will provide the basic principles of electromagnetic fields in order to understand the issue related to their use in biomedical applications. In order to train the ability to apply the acquired knowledge the students have to solve a certain amount of homeworks before the exam. The homeworks consist in solving electromagnetic problems submitted through an online platform.

The background of a biomedical engineer required skills useful in different engineering branch. The course provides basic electromagnetic elements for subsequent courses, more specialized and application oriented, not only related to biomedical application. Through the solution of numerical examples, the student will deepen his own ability to analyze critically the results obtained and to solve problems.

Electrostatic: the charge, electric force between charges, electrostatic field, Gauss theorem in integral and differential form, electric potential, capacitors, polarization of dielectrics. Currents and circuits, electromotive force, Ohm's law and Kirchoff's laws. Magnetostatic: magnetic field, Lorentzs force, the Biot-Savart and Ampere's Law in integral and differential form, ferromagnetic, paramagnetic and diamagnetic materials, vector potential. Time-varying fields: Faraday's law in integral and differential form, Ampere-Maxwells Law, Maxwell's equations. Phasors, time varying circuits: RL, RC, RLC, impedance, complex dielectric constant, characteristics of biological tissues. Waves: plane waves, polarization of waves, waves in lossy media, incidence on dielectric interfaces. Transmission lines in time and in phasor domain: telegrapher's equations, characteristic impedance, input impedance.

The learning evaluation methods consist of a written test and an oral test. The oral and the written test are taken in the same exam session. In case of a negative outcome of the examination, the student must retake all tests. The written test consists in solving exercises on the topics covered during the course The oral exam consists of written examination and discussion of one or more themes of the course program. Preliminary self-assessment test (homework) must be carried out before the exam. It is up to the student to choose the time for the solution of the homework. They consist of the online solution of problems related to the topics of electromagnetism, submitted through an online open source platforms (Homework Opensource Platform, HOP).

To pass the exam, the student have to demonstrate knowledge of all the topics of the course program which will be submitted. The student must demonstrate, through the trials described above, the understanding of the concepts exposed in the course on the principles of electromagnetism. The student's ability to demonstrate the basic principles of electromagnetism and his ability to link between topics as well as the ability to apply to concrete examples will be evaluated.

The final evaluation of the examination is graded from 0 to 30. The minimum score for passing the exam is 18/30. The written test is graded from 0 to 30. The minimum score on the written test required for a positive final evaluation is 18/30

The final mark will take into account of the overall examination, both written and oral, according to the evaluation criteria described above. The highest rating is achieved by demonstrating a thorough understanding of teaching content, exposed with complete mastery of technical language. The lode will be given to students who, having answered all the questions correctly and completely, have demonstrated a particular brilliance in exposure and a particular skill and autonomy in theoretical demonstrations.

Main textbook in italian : F.T. Ulaby: Fondamenti di campi elettromagnetici. McGraw-Hill. Exercise book: SCHAUMS Outline Series Electromagnetics McGraw-Hill. Alternative textbook in english: Ramo-Whinnery-Van Duzer: Fields and Waves in Communication Electronics, 3rd edition Other: Copy of the slide projected during the course downloadable from the online course on Moodle platform.

- Ingegneria Biomedica (Corso di Laurea Triennale (DM 270/04))

**Università Politecnica delle Marche**

P.zza Roma 22, 60121 Ancona

Tel (+39) 071.220.1, Fax (+39) 071.220.2324

P.I. 00382520427