


Politecnico di Torino  
Academic Year 2015/16  
18AULMA, 18AULNF Electrical circuits and Network Analysis 

1st degree and Bachelorlevel of the Bologna process in Biomedical Engineering  Torino Master of sciencelevel of the Bologna process in Environmental And Land Engineering  Torino 





Subject fundamentals
The main objective of the course is to introduce students to the basic laws governing lumped electrical circuits. It provides the essential background required to fruitfully attend the electronic courses and to understand the recent key electrical and electronic applications. In particular the course focuses on the fundamental tools to analyze resistive circuits and dynamic circuits operating in the sinusoidal steadystate and to compute the transient response of first and secondorder circuits.

Expected learning outcomes
Knowledge of the constitutive relations governing the basic circuit elements (RLCM). Knowledge of the different techniques for circuit analysis along with their key features, strengths and limitations. Ability to analyze electric circuits, choosing the most convenient techniques. Specifically, knowledge of the inspection method for the analysis of the transient response of first and secondorder circuits and of the phasor method for the analysis of circuits operating in the sinusoidal steadystate. The students will be ready to compute the voltagecurrent constitutive relation of any twoterminal element that consists of the interconnection of basic twoterminal elements, to solve simple direct and alternatecurrent electrical circuits with RLCM components and to compute the transient response of first and secondorder circuits. The practice sessions will help students to improve their problemsolving skill, allowing them to exchange their experience on the selection of the best possible solution method for the different classes of application problems.

Prerequisites / Assumed knowledge
Mathematics: derivatives and integrals, complex numbers, linear algebra and matrix analysis, algebraic linear systems, first and secondorder linear differential equations. Physics: power and energy, basic electromagnetics.

Contents
 Fundamentals of electrical circuits and techniques for the analysis of resistive circuits: lumped approximation, voltage, current, power, reference directions, Kirchhoff laws, Tellegen’s theorem and conservation of energy, basic circuit elements (resistors and ideal generators), series and parallel connection of resistive oneport elements, voltage and current dividers. Nodal analysis and network theorems (substitution, superposition, Millmann, Thevenin and Norton). Ideal transformer, controlled sources and operational amplifiers. Maximum power transfer;
 Introduction to dynamical circuits: characteristics and properties of inductors, capacitors and mutual inductors, series and parallel connection of inductors and capacitors;  Firstorder RC and RL circuits: analysis by inspection under piecewiseconstant generators and/or switches;  Secondorder circuits: extension to the transient analysis of circuits with two dynamical elements;  Sinusoidal steadystate analysis: circuit equations in sinusoidal steady state (AC), symbolic analysis, phasors, AC power and power factor correction;  Frequencydomain response of dynamical circuits. 
Delivery modes
Standard lectures and inclass exercise sessions aimed at practicing the general circuit analysis methods presented during the lectures.

Texts, readings, handouts and other learning resources
Reference textbook:
R. Perfetti, "Circuiti Elettrici", 2.a edizione, Ed. Zanichelli, 2013. Contenuti online per lo studente in "online.universita.zanichelli.it/perfetti" Additional textbooks: C.K. Alexander, M.N.O. Sadiku, Circuiti elettrici, 3.a ed., McGrawHill, 2008 A. R. Hambley: Elettrotecnica  4.a edizione, Pearson, 2009 C.R. Paul, Fundamentals of Electric Circuit Analysis, J.Wiley, 2001 R.C. Dorf, J.A. Svoboda, Circuiti Elettrici, Apogeo, 2001 
Assessment and grading criteria
The knowledge, and the ability to apply it, will be verified during the final examination, which is structured in a written test (duration 90 min). The exam includes 5 elementary problems (4 points each, total 20 points) and one or two more complex circuits (12 points total). During the written test, it is possible to use a scientific calculator; no texts, books and notes are admitted. An optional short oral test is allowed for students obtaining the maximum score in the written exam to reach the grade 30L.

