Università Roma Tre

Basics of Electricity and Magnetism. Maxwell's equations. From fields to circuits: limits and validity of circuit representation. Kirkhhoff's laws. Topological characteristics of the circuits. Series and parallel connections, nodes and links. Introduction to graph theory. Fundamental cuts and meshes. Incidence matrices. Conventions for generators and users. Electric power and passivity. Tellegen's theorem. Reciprocity. Bipole, multipole, port and multiport. Linearity, time-invariance, memory. Constitutive laws of passive two-poles R L C and of ideal voltage and current generators. Duality. Controlled generators, Magnetic Circuits, Hopkinson's Law, mutual inductances, gyrator, ideal and null transformer.
Analysis of networks without memory: general methods of nodes and meshes (loops), equivalent topological transformations and Thevenin's theorem. Maximum power transfer theorem. Ideal switches. Laplace transform for solving linear circuits with memory. Impedance, admittance and network functions in the Laplace domain. Methods of antitransformation of fractional rational functions. Extension to the Laplace domain of the methods for solving circuits. Transient and permanent response. Free and forced answer. Stability in circuits. Analysis of permanent regimes. Continuous circuits. Sinusoidal regime. Phasor method. Impedance, admittance and network functions in the frequency domain. Three-phase systems. Active, reactive and complex power. Comparison between Laplace domain and frequency domain. Resonant circuits. Notes on the harmonic regime and Fourier series. Filtering properties of ideal passive and active circuits. Main representations of balanced and unbalanced two-doors. Two-port interconnection.
Two-pole non-linear resistors: the diode. Nonlinear Circuit Linearization Example: Diode Linearization (Small-Signal Model)
Ideal diode and rectifier circuit. Zener diode. Stabilizer circuit with zener. The transistor: cut-off zone, saturation zone. The transient in the active zone: model for large signals. Small-signal model of an active-zone transistor. The transistor as current-driven short-circuit and open-circuit two-poles. Logic gates: NOT,AND, OR FLIP_FLOP SR. The operational amplifier AMP.OP.: Buffer, inverting, non-inverting, comparator, clock, Integrator, Derivator, Adder, Digital - Analog converter.

- BASIC CIRCUIT THEORY BY CHARLES A. DESOER- ERNEST S. KUH