The main objective of the course is to introduce students to the basic laws governing lumped electrical circuits, giving suitable and general methods for their analysis. In particular, the course provides fundamental tools to analyze dynamic circuits in the time and in the frequency domain. An introduction to automated circuit analysis via computer-based simulation is also provided. The theory is complemented by several practical classes.

Knowledge of the basic laws governing electrical circuits. Knowledge of analysis methods for electrical circuits. Ability to compute and explain the responses of electrical circuits. Ability to use a modern computer program for Computer-aided Circuit Analysis (SPICE).

Physics: power and energy, basic electromagnetics. Mathematics: linear algebra and matrix analysis, first-order linear differential equations, algebra of complex numbers.

The course is structured in two parts: a ?basic? part (2 credits) and a ?core? part (5 credits). - Basic part (2 credits) Lumped circuits; voltage, current and power. Reference directions. Kirchhoff?s laws. Tellegen?s theorem. Basic circuit elements. Series and Parallel connection of the resistive one-port elements. Current and Voltage division rule. Millman?s theorem. Maximum power transfer. Nodal Analysis. - Core part (5 credits) 2.a. General resistive circuits (1.5 credits). Dependent sources, ideal operational amplifier. Network theorems: substitution theorem, Thevenin and Norton theorem, superposition theorem. 2.b Dynamic circuits (1.5 credits) Linear capacitors and inductors, series and parallel connection of inductors and capacitors. First order RC and RL circuits with constant sources and ideal switches. Second order circuits. Formulation and solution of the state equations. 2.c Sinusoidal steady state (2 credits) Circuit equations in sinusoidal steady state (AC), symbolic analysis and phasors, AC power. Network functions: impedance, admittance and transfer functions. Bode plots.

The course is organized into lectures and practical classes. Practical classes (approximately 30% of each credit) are aimed at applying the general circuit analysis methods presented during the lectures. During practical classis, active participation of the students is required. A few hours are dedicated to a basic introduction to computer-based circuit simulation programs (SPICE).

Reference textbook: Clayton R. Paul, Fundamentals of Electric Circuit Analysis, Wiley 2001. Additional texts: Charles A. Desoer and Ernest S. Kuh, Basic circuit theory. McGraw- Hill, 1969 R. Perfetti, Circuiti elettrici, Zanichelli, Bologna, 2003. M. Biey, M. Bonnin, F. Corinto, Esercitazioni di elettrotecnica, CLUT, Torino, 2012. M. Biey, Spice e PSpice: introduzione all'uso, CLUT, Torino, 2001. Besides the above references, all learning material, including an exercise book, are available for download from the course web page. The exercise book is the reference material for all practical classes. The course web page is the official communication channel of the course.

Modalità di esame: Prova scritta (in aula);

Exam: Written test;

... The knowledge and the abilities gained in this course will be verified during the final examination, which is structured in a written test, followed by an optional oral test. The written part has a duration of 90min (1h and 30min). The test includes three elementary multiple-choice questions each of which has only one correct answer (duration 15min up to 6 points) and circuit analysis problems with open questions (duration 75min, up to 24 points). A correct answer to a multiple-choice question gives 2 points. An incorrect answer gives a penalty of 2 points. There is no penalty for blanks. The exam is graded iff the candidate gets at least 2 points from the multiple-choice questions. During the text, it is possible to use a scientific calculator; no texts, books and notes are admitted. The written test is passed with at least 18/30. The oral test can be requested by students with a mark of the written part larger than 24/30 or can be imposed by the examination board in case of difficulties in assessing the written test of the candidate. The basis for the final mark is provided by the score of the written test, which can be increased (or decreased) based on the possible oral test (optional). Important: A single final mark is registered for the Electromagnetics and Circuits course (12 CFU). The grade will be determined by a weighted average of the grade obtained in both modules (i.e., Electromagnetics (5 CFU) and Circuit Theory (7 CFU)). The examination of the two modules must be taken in the same academic year.

Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.

Modalità di esame: Prova scritta tramite PC con l'utilizzo della piattaforma di ateneo;

The knowledge and the abilities gained in this course will be verified during the final examination, which is structured in a written test via the EXAMS platform with proctoring tools (Respondus), followed by an optional oral test. The written test has a duration of 90min (1h and 30min). The test includes three elementary multiple-choice questions each of which has only one correct answer (duration 15min up to 6 points) and circuit analysis problems with open questions (duration 75min, up to 24 points). A correct answer to a multiple-choice question gives 2 points. An incorrect answer gives a penalty of 2 points. There is no penalty for blanks. The exam is graded iff the candidate gets at least 2 points from the multiple-choice questions. During the text, it is possible to use a scientific calculator; no texts, books and notes are admitted. The written test is passed with at least 18/30. The oral test can be requested by students with a mark of the written part larger than 24/30 or can be imposed by the examination board in case of difficulties in assessing the written test of the candidate. The basis for the final mark is provided by the score of the written test, which can be increased (or decreased) based on the possible oral test (optional). Important: A single final mark is registered for the Electromagnetics and Circuits course (12 CFU). The grade will be determined by a weighted average of the grade obtained in both modules (i.e., Electromagnetics (5 CFU) and Circuit Theory (7 CFU)). The examination of the two modules must be taken in the same academic year.

Modalità di esame: Prova scritta (in aula); Prova scritta tramite PC con l'utilizzo della piattaforma di ateneo;

In case it is allowed, the written and the optional oral test may be taken in real classrooms, in the same way they are taken via the EXAMS platform and virtual classrooms.