# CIRCUITS THEORY

OVERVIEW

This subject 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 and some basic mathematical and scientific principles are introduced.

## AIMS AND CONTENT

LEARNING OUTCOMES

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

AIMS AND LEARNING OUTCOMES

It is expected that at the end of this subject the student will be able to analyze linear time-invariant resistive circuits and first-order and second-order dynamical circuits (transitory and steady-state analysis), by correctly writing topological equations and descriptive equations. During the lessons a set of tools are proposed; when dealing with a specific problem, the students have to decide what subset of tools can be (or has to be) used to solve it. This capacity of solving non-trivial problems is one of the main elements of the scientific cultural baggage of an engineer.

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. During other practice lessons (with elective participation), further exercises and examples are proposed to reinforce learning.

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).

RECOMMENDED READING/BIBLIOGRAPHY

- 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.

- 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

**Ricevimento:** by appointment
email: marco.storace@unige.it
Tel.: 0103532079 (off.) 0103532276 (lab.)

Exam Board

MARCO STORACE (President)

ALBERTO OLIVERI

MATTEO LODI

## LESSONS

Teaching methods

About 60 classroom hours. During other practice lessons (with elective participation), further exercises and examples are proposed to reinforce learning.

LESSONS START

Regular (see the calendar at the website https://www.politecnica.unige.it/index.php/didattica-e-studenti/orario-e-calendario-delle-lezioni)

## EXAMS

Exam description

Written (max. score 19) + oral (max score 15).

For the attending students only, two further partial written examinations are proposed, with a total score of 34: if the total score is sufficient, it can be registered without any additional oral examination; otherwise, an oral examination (max. score 30) is mandatory and the final score is the mean of written and oral examination.

Assessment methods

During the lessons, many exercises are proposed to the students for self-examination and later solved during the optional practice lessons. The learning results are assessed through the exams, as described in the above section. The learning outcomes are reached as far as the student demonstrates his/her ability to properly use the conceptual tools proposed during the lessons, in order to analyze different kinds of circuits working under different operating conditions (see Section "Aims and learning outcomes").

Exam schedule

Date | Time | Location | Type | Notes |
---|---|---|---|---|

19/06/2020 | 09:00 | GENOVA | Scritto | Aula G2A |

19/06/2020 | 09:00 | GENOVA | Scritto | |

02/07/2020 | 09:00 | GENOVA | Orale | Aula G2A |

02/07/2020 | 09:00 | GENOVA | Orale | |

14/07/2020 | 09:00 | GENOVA | Scritto | Aula G2A |

14/07/2020 | 09:00 | GENOVA | Scritto | |

27/07/2020 | 09:00 | GENOVA | Orale | Aula G2A |

27/07/2020 | 09:00 | GENOVA | Orale | |

09/09/2020 | 09:00 | GENOVA | Scritto | Aula G2A |

09/09/2020 | 09:00 | GENOVA | Scritto | |

14/09/2020 | 09:00 | GENOVA | Orale | |

16/09/2020 | 09:00 | GENOVA | Orale | Aula G2A |