OVERVIEW

The teaching unit aims to provide fundamental knowledge of electric circuit theory. The topics covered are classical (components and resistive circuits, analysis of linear dynamical circuits in DC/AC steady-state, and in transient) and are presented in a way that allows students to gain familiarity with mathematical, physical, and geometrical tools essential for circuit analysis, as well as with the mathematical and scientific principles underlying engineering.

AIMS AND CONTENT

LEARNING OUTCOMES

This course provides the student with the ability 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.

AIMS AND LEARNING OUTCOMES

By the end of the teaching unit, students will understand the characteristics of the main electrical components. They will be able to correctly apply descriptive and topological equations to analyze linear time-invariant circuits in transient, and DC/AC steady state.

PREREQUISITES

Basic knowledge in the fields of mathematical analysis and physics: derivatives and integrals of real functions, vectors, matrices, and systems of algebraic equations; linear differential equations with constant coefficients; complex numbers and their main properties; concepts of power, work, and energy.

TEACHING METHODS

Lectures delivered by the teacher in class.

During the lectures, in addition to theoretical explanations, the theacher will solve numerous exercises related to circuit analysis.

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

• Basics of electromagnetism; limitations of lumped-parameter circuit theory; concepts of voltage, current, flux, charge, and power; introduction to Maxwell’s equations.
• Concept of electrical components (two-terminal, multi-terminal, and two-port networks), Kirchhoff's laws.
• Common resistive two-terminal and two-port components (resistor, ideal generators, controlled sources, ideal transformer); series and parallel connections.
• Voltage and current dividers; Thévenin and Norton equivalent models of composite components; analysis of linear circuits in steady-state.
• Graph theory and its application to the study of linear electric circuits; superposition principle; Tellegen’s theorem.
• Key dynamic components (capacitor, inductor, coupled inductors).
• First-order dynamic circuits with various sources, state variables, input/output relationships, natural frequencies, stability, complete response.
• Analysis of linear circuits in sinusoidal steady state; phasors; impedance and admittance; complex power; average and RMS values of periodic quantities.

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.

- 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. (capitoli "basic")

- 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

LESSONS

EXAMS

EXAM DESCRIPTION

The exam consists of a written test that involves the analysis of one or more circuits in transient and steady-state (DC or sinusoidal) conditions.

ASSESSMENT METHODS

The exercises will allow to evaluate the ability to solve problems in the field of circuit theory, by applying the conceptual tools described during the lessons and by justifying the performed choices.