Learning objectives
The course aims at providing basic knowledge and methods for the analysis and synthesis of linear circuits in DC, AC and transient conditions. Part of the contents will be preparatory for later Electronics courses.
Prerequisites
It is assumed that the student is familiar with the contents provided in the courses of the first year (Analisi matematica, Geometria analitica, Fisica).
Course unit content
Analysis and synthesis on linear electric circuits in direct current, alternating current, and transient operation. Energy analysis. Frequency analysis.
Full programme
1) Steady-state electrodynamics (6 hours).
Voltage and currents. Resistor, voltage and current independent generators, Ohm's laws, energy. Voltage and current limits, rated values. Thermal sizing.
2) Direct current circuits analysis and synthesis (14 hours).
Connections among bipoles. Kirchhoff's principles. Mesh analysis, node analysis, delta/wye transformations, superposition principle, Millman's theorem. Thevenin's theorem, Norton's theorem. Measurement instruments. Dependent generators.
3) Steady-state electric fields (5 hours).
Electric filed, capacitance, capacitor, constitutive law of the capacitor. Dielectrics and electrical insulation. Parasitic capacitances. Energy behaviour. Charge and discharge.
4) Quasi-stationary electromagnetic field (6 hours).
Magnetic field, diamagnetic, paramagnetic and ferromagnetic materials, loss figure. Faraday-Lenz's law. Inductor, constitutive law of an inductor, energy behaviour. Magnetic circuits. Charge and discharge. Stray inductances. Lumped parameters circuits. Connections among reactive components.
5) Electric circuits in transient conditions (4 hours).
Analysis of first and second order electric transients in the time domain. State variables.
6) Electric circuits with sinusoidal supply (11 hours)
Symbolic method (Steinmetz's transform). Active and reactive power, power factor, Boucherot's theorem. Power factor correction. Introduction to polyphase systems and electric energy transmission. Maximum power transfer theorem.
7) Coupled inductors and transformers (6 hours).
Mutual inductance, ideal and real transformers.
Bibliography
* C.K. Alexander, M.N.O. Sadiku, G.Gruosso, G.Storti Gajani, "Circuiti elettrici, Sesta Edizione", McGraw-Hill libri Italia, 2022. ISBN9788838654909
* G. Rizzoni, "Elettrotecnica. Principi e applicazioni", McGraw-Hill Education, 2018, ISBN9788838601293
Teaching methods
Classroom lectures and exercises solved by the instructor.
Assessment methods and criteria
Written exam exercises covering also theoretical topics. During the exam the student will have to demonstrate knowledge of circuit analysis and synthesis techniques in direct current, alternating current and transient operation, frequency analysis.
Other information
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2030 agenda goals for sustainable development
7, 9, 11
