CODE 80646 2023/2024 6 cfu anno 2 INGEGNERIA BIOMEDICA 8713 (L-8) - GENOVA 6 cfu anno 2 INGEGNERIA ELETTRONICA E TECNOLOGIE DELL'INFORMAZIONE 9273 (L-8) - GENOVA ING-IND/31 Italian GENOVA 1° Semester Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami: Biomedical Engineering 8713 (coorte 2022/2023) MATHEMATICAL ANALYSIS 84362 2022 Questo insegnamento è propedeutico per gli insegnamenti: Biomedical Engineering 8713 (coorte 2022/2023) CIRCUITS THEORY 80646 2022 AULAWEB

## OVERVIEW

This course aims to provide basic elements of electrical circuit theory (resistive elements and networks, transient and steady-state analysis of elementary first-order and second-order linear circuits, analysis of some circuit properties in periodical steady-state conditions) and to apply them to examples. To this end, concepts coming from Mathematics, Physics and Geometry are applied to circuits, thus consolidating their knowledge. This course bridges basic scientific topics and pillars of ICT engineering such as system theory, signal processing, and electronics.

## AIMS AND CONTENT

### LEARNING OUTCOMES

To be able to analyse a linear time-invariant circuit (transitory and steady-state analysis).

### AIMS AND LEARNING OUTCOMES

Aims

•  to build a common language suitable to talk about circuits

•  to provide basic knowledge about the analysis of linear circuits

•  consolidate knowledges of Mathematics, Physics and Geometry by applying them to physical systems (circuits)

•  to illustrate through examples how to apply the theory

•  to stimulate the student's communication skills by encouraging an active participation to the classrooms

•  to help the student to develop independent study skills

Expected learning outcomes

At the end of this course, the student should be able to:

•  understand and correctly use the technical language for the description of circuits

•  understand the basic principles of circuit analysis, suitably applying background knowledge of Mathematics, Physics, and Geometry (e.g., to write correctly the topological and descriptive equations of a circuit)

•  apply these principles to analyse linear circuits in different situations and working conditions (resistive circuits, dynamical linear time-invariant circuits in transient conditions and at stationary/DC, sinusoidal/AC, and periodic non-sinusoidal steady state)

•  for a given problem, decide which theoretical tools can (or must) be used to solve it. The capacity of solving non-trivial problems is one of the main elements of the scientific cultural baggage of an engineer.

•  demonstrate his/her own knowledge and comprehension of the course topics by solving assigned problems and discussing them with the teacher

•  justify his/her choices of models and methods (mainly during the written part of the exam)

•  be able to study autonomously on the recommended reading/bibliography

### PREREQUISITES

Basic concepts of mathematics and physics: derivatives and integrals of real functions; elementary linear differential equations; vectors, matrices, systems of algebraic equations; complex numbers; power and energy.

### TEACHING METHODS

About 60 classroom hours, consisting of teacher-led demonstrations and presentation of examples at the blackboard. Attending the classrooms is strongly recommended, as well as an active participation. Some lessons will include demos with circuit prototypes aimed to compare theory and practice. During the course many exercises are proposed for self-evaluation. During other practice lessons (with elective participation), these and other exercises and examples are solved by a tutor.

### SYLLABUS/CONTENT

Fundamentals of circuit theory (circuit elements; models; elementary electrical variables; graphs and circuits; Kirchhoff's laws; Tellegen's theorem).

Two-terminal resistive elements and elementary circuits (significant two-terminal elements; Thévenin-Norton models; concept of electrical power; series and parallel connections).

Linear resistive two-ports and elementary circuits (six representations and properties; significant two-port elements; cascade, series and parallel connections).

General resistive circuits (Tableau analysis; superposition and substitution theorems; Thévenin-Norton theorems).

Elementary dynamical circuits (significant circuit elements; concept of state; transient and stationary steady-state solutions of first-order circuits with various sources: constant, piecewise-constant, impulsive; stability; generalizations to second- and higher-order circuits).

Sinusoidal steady-state analysis (phasors and sinusoidal solutions; phasor formulations of circuit equations; impedance and admittance of two-terminal elements; sinusoidal steady-state solutions; active, reactive and complex powers).

Periodical steady-state analysis (analysis of circuits with many sinusoidal inputs; periodical signals and Fourier series; mean value; RMS value theorem).

This subject focuses on a topic of great scientific-technological interest, i.e., electrical circuits. As such, it contributes to the following targets of the Sustainable Development Goals listed in the ONU Agenda 2030:
8.2 (Achieve higher levels of economic productivity through diversification, technological upgrading and innovation, including through a focus on high-value added and labour-intensive sectors)
9.5 (Enhance scientific research, upgrade the technological capabilities of industrial sectors in all countries, in particular developing countries, including, by 2030, encouraging innovation and substantially increasing the number of research and development workers per 1 million people and public and private research and development spending)

Course textbooks:

- M. Parodi, M. Storace, Linear and Nonlinear Circuits: Basic & Advanced Concepts, Vol. 1, Lecture Notes in Electrical Engineering, Springer, 2017, ISBN: 978-3-319-61234-8 (ebook) or 978-3-319-61233-1 (hardcover), doi: 10.1007/978-3-319-61234-8.

- M. Parodi, M. Storace, Linear and Nonlinear Circuits: Basic & Advanced Concepts, Vol. 2, Lecture Notes in Electrical Engineering, Springer, 2020, ISBN: 978-3-030-35044-4 (ebook) or 978-3-030-35043-7 (hardcover), doi: 10.1007/978-3-030-35044-4.

Other references:

- L.O. Chua, C.A. Desoer, E.S. Kuh, Circuiti lineari e non lineari, Jackson, Milano, 1991.

- C.K. Alexander, M.N.O. Sadiku, Circuiti elettrici (3A edizione), MacGraw-Hill, Milano, 2008.

- M. de Magistris, G. Miano, Circuiti, Springer, Milano, 2007.

- G. Biorci, Fondamenti di elettrotecnica: circuiti, UTET, Torino, 1984.

- V. Daniele, A. Liberatore, S. Manetti, D. Graglia, Elettrotecnica, Monduzzi, Bologna, 1994.

- M. Repetto, S. Leva, Elettrotecnica, CittàStudi, Torino, 2014.

## TEACHERS AND EXAM BOARD

### Exam Board

MARCO STORACE (President)

ALESSANDRO RAVERA

MATTEO LODI (President Substitute)

ALBERTO OLIVERI (President Substitute)

## LESSONS

### Class schedule

L'orario di tutti gli insegnamenti è consultabile all'indirizzo EasyAcademy.

## EXAMS

### EXAM DESCRIPTION

Written + oral. The exam dates can be found on the Online Services of UniGe, in the Students section, under Exam Bookings. Additional oral exam dates are set at the beginning of the official oral exams, by agreeing them with the attending students.

Threshold score of the written exam: 6 (out of 20). The oral exam is a discussion of the written exam, in which the candidate must demonstrate a mastery of the subject matter. No proofs are requested in this phase. The oral exam can increase (up to +10) or decrease the score of the written exam.

If the overall score is sufficient (>= 18) and satisfactory for the candidate, it can be the final score of this subject. Otherwise, a further oral examination (max. score 30, proofs are requested in this phase) will contribute to the final assessment, by averaging written score and oral score.

Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.

### ASSESSMENT METHODS

The learning outcomes are graded based on the student's capacity of:

•  properly communicating his/her own thoughts, by evidencing an at least sufficient knowledge of the course topics and using a suitable language (communication skills, which are evaluated in particular during the oral part of the exam)

•  choosing and properly using the models and the methods introduced during the course to analyse different kinds of circuits in different working conditions (see "Aims and learning outcomes"), by justifying the choices made and using knowledge in partially new situations (autonomy and independence of judgment and capacity of synthesis, which are evaluated in particular during the written part of the exam)

•  demonstrating his/her knowledge and comprehension of the course topics by solving exercises and discussing them with the examination board (in the case of a single oral exam)

•  demonstrating his/her knowledge and comprehension of the course topics by correctly reproducing theorems, methods, models shown by the teacher during the course, discussing them with the examination board, and drawing connections among ideas (in the case of the second oral exam).

### Exam schedule

Data Ora Luogo Degree type Note
08/01/2024 09:00 GENOVA Scritto
18/01/2024 09:00 GENOVA Orale
31/01/2024 09:00 GENOVA Scritto
09/02/2024 09:00 GENOVA Orale
14/06/2024 09:00 GENOVA Scritto
09/07/2024 09:00 GENOVA Scritto
17/07/2024 09:00 GENOVA Orale
04/09/2024 09:00 GENOVA Scritto
09/09/2024 09:00 GENOVA Orale