Università Roma Tre

From Fields to Circuits: Limits and Validity of Circuit Representation. Kirkhhoff's Laws. Topological characteristics of circuits. Serial and parallel connections, nodes and meshes. Introduction to graph theory. Incidence matrices. Passive sign and Active Sign Conventions. Power and Passivity. Tellegen's Theorem. Reciprocity. Bipoles and multipoles. Linearity, time-invariance, memory. Constitutive laws of R, L and C passive bipoles, the ideal voltage and current independent generators. Duality. Controlled generators, mutual inductances, ideal transformer and nullator. Analysis of memoryless circuits: general methods of nodes and loops, equivalent topological transformations and Thevenin's Theorem. Maximum power transfer Theorem. Ideal switches. Laplace transformed for the resolution of linear circuits with memory. Impedance, admittance and network functions in the Laplace domain. Methods of antitransformation of rational functions. Laplace extension to Circuit of General Methods. Transient and permanent response. Free and forced response. Stability in circuits. Analysis of permanent regimes: DC and AC. Fasors. Impedance, admittance and network functions in the frequency domain. Active, reactive and complex power. Comparison of Laplace domain and frequency domain. Resonant circuits. Harmonic regime and Fourier Series. Filter properties of passive and active circuits. Main features of balanced and unbalanced two-ports.

G. MARTINELLI, M. SALERNO – FONDAMENTI DI ELETTROTECNICA VOL.I E II – ED. SIDEREA
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