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Second Semester 
Teaching style
Lingua Insegnamento

Informazioni aggiuntive

Course Curriculum CFU Length(h)
[70/72]  CIVIL ENGINEERING [72/00 - Ord. 2013]  PERCORSO COMUNE 4 40


The student has to:
- acquire the knowledge of the Circuit Theory and develop the ability to solve a problem formulated in terms of lumped element model both for Direct Current (DC) and Alternating Current (AC) circuits (applying knowledge and understanding);
- have the ability to make autonomous decisions to find solutions to the proposed problems and be able to correctly interpret the obtained results (making judgments);
- have the ability to communicate through written papers and oral discussions (communication skills);
- acquire the knowledge of the technical language and the ability to correctly understand texts of relevant scientific and technical literature (learning skills).


Knowledge of the basic topics from the courses of Calculus, Physics and Geometry.
In particular:
- Complex algebra, trigonometry and vector calculus;
- Solution of systems of linear algebric equations with constant coefficients;
- Concepts of scalar field, vector field and conservative field;
- Principle of conservation of energy and principle of superposition;
- Basic concepts of electrostatics: electric field, electrostatic work, operating principle of a capacitor;
- Basic concepts of electromagnetism: magnetic field, electromagnetic field, operating principle of an inductor.


1 - Basic knowledge of circuit theory: 10 hours (7 hours of theory, 3 hours of exercise)
2 - Direct current circuit theory and applications: 15 hours (9 hours of theory, 6 hours of exercise)
3 Alternating current circuit theory and applications: 15 hours (9 hours of theory, 6 hours of exercise)

Teaching Methods

The course consists of 40 hours of lectures, 25 of which are devoted to theory and 15 to practice
Teaching Methods: lectures supported by the teacher slides provided at the beginning of the course. Exercises consist in showing the solutions for problems related to the previously expalined Circuit Theory.
In order to meet specific educational needs related to the epidemiological situation, the opportunity of live streaming lessons or recordings of the same available online is given. Furthermore, the exercises can be carried out by means of remote interaction forms with the available IT supports.

Verification of learning

The examination is divided into two parts: one written test and one oral test. Students gain the admission to the oral test only if at least 18/30 is obtained on the written test. The score of the examination is determined on the basis of the results obtained in the two tests.
During the written test, the student has to solve one or more problems formulated in terms of a lumped element model. The student has to demonstrate a critical approach for the problems understanding and be able to autonomously identify the appropriate solution method.
During the oral test, the student has to demonstrate the acquired knowledge of the Circuit Theory with appropriate technical language, showing mastery and knowledge of the required prerequisites, a good ability in synthesis, autonomy and critical analysis.


1. C. K. Alexander, M. N. O. Sadiku, "Fundamentals of Electric Circuits (5th edition)", Mc Graw Hill

More Information

1 - Basics of Circuit Theory
Charge, current and voltage. Kirchhoff’s laws, nodes, branches, and loops. Power, power sign conventions, power conservation in circuits. Circuit elements: resistance and ohm’s law, conductance, capacitor and inductor, ideal independent sources, ideal controlled sources, mutual inductance and ideal transformer. General property of ideal components. Ideal operational amplifiers (Op Amp) and its standard configurations, Op Amp circuit analysis.

2 - Steady-State Analysis
Series of resistors and voltage division. Parallel of resistors and current division. Wye-Delta transformations. Thevenin’s theorem. Norton’s theorem. Source transformation. Millmann’s theorem. Maximum average power transfer. Graph theory and Tellegen theorem. Nodal analysis. Mesh analysis. Nodal Versus Mesh analysis.

3 - Sinusoidal Steady-State Analysis
Sinusoids and phasors. Phasor relationships for circuit elements. Impedance and admittance. Kirchhoff’s laws in the frequency domain. Impedance combinations, current and voltage division. AC Thevénin and Norton theorems. AC nodal and mesh analysis. Effective or RMS value. Instantaneous and average power. Maximum average power transfer. Apparent power and power factor. Complex power. Conservation of AC power. Power Factor correction.

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