CODE 66016 2023/2024 6 cfu anno 2 INGEGNERIA CHIMICA E DI PROCESSO 10375 (L-9) - GENOVA ING-IND/31 Italian GENOVA 2° Semester Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami: Chemical Engineering 8714 (coorte 2022/2023) MATHEMATICAL ANALYSIS I 56594 2022 FUNDAMENTAL OF PHYSICS 72360 2022 AULAWEB

## OVERVIEW

The course provides basic notions of circuit theory (components and resistive circuits, analysis of linear dynamical circuits at stationary and sinusoidal steady-state and during transients. The topics are proposed so that the students familiarize themselves with tools of mathematics, physics, and geometry fundamental for circuit analysis and with mathematical and scientific principles at the basis of engineering.

## AIMS AND CONTENT

### LEARNING OUTCOMES

The course aims at providing the students with the basic notions about circuit theory and the methods for the analysis of linear circuits in direct and alternating current. Some theoretical concepts will be verified on simple circuits through laboratory tests.

### AIMS AND LEARNING OUTCOMES

At the end of this subject, the student is expected to know the characteristics of the main electrical components. He/she will be able to correctly apply the descriptive and topological equations to analyze a linear, time-invariant circuit during transient and at DC and AC steady-state. The student will also be able to analyze simple rectifier circuits with diodes.

The practical lessons will allow the student to manage his/her social interactions, with collaborative attidude and constructive communication; to demonstrate decision-making autonomy, collaborative attitude, use of instrumentation and components, coordination, and management of uncertainty.

### PREREQUISITES

Basic notions of mathematics and physics: derivatives and integrals of real functions; vectors, matrices and systems of algebraic equations; elementary operations of vectors and matrices; complex numbers and their basic properties; concepts of power, work, energy.

### TEACHING METHODS

Classroom lectures (51 hours). During the lessons, in addition to the explanation of the theoretical concepts, the teacher will solve several exercises about circuit analysis.

Three laboratory sessions (9 hours), where students will work in grups to build simple circuits and test their functioning.

Working students and students with disabilities or learning disorders (e.g., DSA) are advised to contact the teacher at the beginning of the course to discuss about teaching and exam methods.

### SYLLABUS/CONTENT

Basic notions on electromagnetism; limits of validity of lumped circuit theory; voltage, current, flux, charge, and power; Maxwell equations
Electrical component (bipole, n-pole, two-port), Kirchhoff laws.
Fundamental adynamical bipoles and two-port (resistor, ideal generator, controlled generator, ideal transformer); series and parallel connection of bipoles.
Resistive dividers, Thévenin and Norton equivalent models of composite bipoles; analysis of linear circuits at DC steady state.
Graph theory and application to electric circuits; superposition principle; Tellegen's theorem.
Fundamental dynamical components (capacitor, inductor, and coupled inductors).
First-order dynamical circuits with various sources, state variables, input/output relationship, eigenvalues, stability, complete response.
Analysis of linear circuits in AC steady-state; phasors; impedance and admittance; complex power; triphase systems; mean and RMS value of periodic quantities.
PN junction and diode; use as rectifier and voltage regulator.

- 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.

- 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

ALBERTO OLIVERI (President)

MATTEO LODI

MARCO STORACE (President Substitute)

## LESSONS

### LESSONS START

https://corsi.unige.it/en/corsi/10375/studenti-orario

### Class schedule

The timetable for this course is available here: Portale EasyAcademy

## EXAMS

### EXAM DESCRIPTION

Oral exam divided into two parts:
- analysis of one or more circuits in transient and steady-state (DC or AC);
- explanation of a topic requested by the teacher.

### ASSESSMENT METHODS

The theoretical question will allow to evaluate the ability to explain the most relevant aspects of the circuit theory, and the fundamental concepts that underlie the operation of the most important electrical components, by using a proper techincal language. The exercises will allow to evaluate the ability to solve problems in the same contexts, by applying the conceptual tools described during the lessons and by justifying the performed choices.

### Exam schedule

Data Ora Luogo Degree type Note
16/01/2024 09:30 GENOVA Orale
06/02/2024 09:30 GENOVA Orale
30/05/2024 09:30 GENOVA Orale
12/06/2024 09:30 GENOVA Orale
25/06/2024 09:30 GENOVA Orale
16/07/2024 09:30 GENOVA Orale
10/09/2024 09:30 GENOVA Orale