Electronics Engineering

I. INTRODUCTION TO LUMPED ELECTRICAL CIRCUITS • The problem of circuit modelling. • Kirchhoff laws. • Multiterminals components. Definition of port. Two-terminal components. • General properties of components and circuits: linearity, time invariance, passivity, causality. • Characteristics of linear time-invariant two-terminal components. • Characterization of bipolar components from the energetic point of view. Equivalent circuits of real two-terminal components. • Ideal two-port compnents: controlled sources, ideal transformer, nullator. II. ANALYSIS OF RESISTIVE CIRCUITS • The general problem of circuit analysis. • Fundamentals of topology: oriented graph, loop, cut, tree, cotree, fundamental loops, fundamental cuts. • Determination of independent voltages and independent currents of a circuit. • Topological matrices A and B. Verification of the fundamental property (B=-AT). • Principle of conservation of energy. Tellegen Theorem. • Analysis of resistive circuits with constant inputs: loop and node methods. • Series and shunt resistors. III. ANALYSIS OF CIRCUITS IN THE SINUSOIDAL STEADY STATE • Analysis of circuits with memory in the presence of variable inputs. Examples of first-order circuits. • Sinusoidal functions and phasor representation. • Example of analysis in sinusoidal steady-state. • Phasors: Kirchhoff laws, characteristic relationships. Impedence and admittance. • The phasor method and the conditions for its applicability. • The phasor method in the presence of sinusoids at different frequencies. • Power in sinusoidal steady-state: active, reactive and complex powers. • Active and reactive power for the circuit components. • Conservation of the complex power and energetic balance of a circuit. • Power factor correction. IV. ANALYSIS OF CIRCUITS WITH THE LAPLACE TRANSFORM • Laplace transform: definitions and properties. • Inverse transform of real rational functions. • Application of the Laplace transform to the solution of systems of differential equations. • The Laplace method for the analysis of circuits with memory. V. NETWORK FUNCTIONS AND STABILITY • Network functions: definition and properties. • Impulse response. Convolution theorem. • Free response and forced response. • Circuit stability and relationship with the properties of network functions. • Transitory and steady state responses. • Relationship between phasors and Laplace transform. • Frequency response. • Resonant circuits. VI. EXTERNAL CHARACTERIZATION OF CIRCUITS • Theorem of substitution. Thevenin and Norton theorems. • External representation of N-port networks. • Representations of 2-port networks. • Connections of 2-port networks. • Theorem of the maximum transfer of active power.

Elementary knowledge of mathematical analysis, linear algebra and electromagnetism.

G. Martinelli, M. Salerno, “Fondamenti di elettrotecnica”, Vol. I (2^Ed., 1995) e Vol. 2 (2^ Ed., 1996), Ed. Siderea, Roma.

Following the class is not mandatory.

The exam is organised in a written and an oral parts.

The class is organised in a traditional way.