LINEAR ELECTRIC CIRCUITS
Stampa
Enrollment year
2021/2022
2021/2022
Regulations
DM270
ING-INF/01 (ELECTRONICS)
Department
DEPARTMENT OF ELECTRICAL,COMPUTER AND BIOMEDICAL ENGINEERING
Course
ELECTRONIC AND COMPUTER ENGINEERING
Curriculum
PERCORSO COMUNE
Year of study
Period
2nd semester (07/03/2022 - 17/06/2022)
ECTS
6
Lesson hours
54 lesson hours
Language
Italian
Activity type
WRITTEN AND ORAL TEST
Teacher
CABRINI ALESSANDRO (titolare) - 6 ECTS
Prerequisites
Knowledge of the basic mathematical tools, such as systems of linear equations, complex numbers, derivatives and integrals, first and second order constant coefficients differential equations.
Learning outcomes
Knowledge of the electrical quantities of interest in the study of the electric circuits and of their measurement units; knowledge of the behavior of two terminal elements and of their energy properties; knowledge of the circuit laws and of the linear circuit analysis methods; ability to solve simple circuits in DC, at low and high frequency, in resonant and transient conditions; knowledge of the basics of electromagnetic theory determining the behavior of electric circuits
Course contents
Basic concepts and fundamental laws
Measurement unit system, electric charge and current, voltage, power and energy, circuit elements, Ohm's law, circuit topology, Kirchhoff laws, resistors connected in series and in parallel, voltage and current divider.
Analysis methods and circuit theorems
Node voltage method, mesh current method. Linearity, superposition, transformation of sources, Thevenin's theorem, Norton's teorema, maximum power transfer, equivalent model for real sources.
Capacitors and inductors
Theory of operation. Interconnection in series and in parallel.
First and second order circuits in transient regime
Transient analysis of RC and RL circuits: natural and forced response, initial and steady-state conditions, time constant. Transient analysis of RLC series and parallel circuits: initial and steady-state conditions, over-damped, critically damped, and under-damped response. General response of a first and second order circuit.
Electric circuits in alternate current regime
Sinusoidal functions and phasors, relationships between phasors for different circuit elements, impedance and admittance. Kirchhoff laws in frequency domain, combination of impedances, phase-shifting circuits, AC bridge circuits, series and parallel resonances, nodal and mesh analyses, superposition, source transformation, Thevenin and Norton equivalent circuits; instantaneous, mean, apparent, complex power; maximum mean-power transfer, effective voltage, power factor, conservation of power, rephasing. four terminal elements, representation through impedance, admittance, transmission and hybrid matrixes.
Magnetically coupled circuits
Mutual inductance, energy in a magnetically coupled circuit, linear transformers, ideal transformers,
Circuit frequency response
Transfer function; the decibel scale; the Bode diagram; series and parallel resonances; low-pass, high-pass, band-pass, band-stop filters.
Teaching methods
The course consists of theoretical lessons and practical exercises.