Lecture

Linear Circuits in Sinusoidal Regime

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In course

EE-282: Initiation to electronics

Présentation des principaux composants de base de l'électroniques. Analyse de circuits à base d'amplificateurs opérationnels. Introduction aux circuits logiques élémentaires. Principe de la conversion Analogique-Numérique. Modèles simplifiés des transistor ...

Description

This lecture covers linear circuits in sinusoidal regime, including sinusoidal signals, complex phasors, linear elements behavior, frequency analysis, Bode diagrams, and the relationship between time and frequency domain analyses. It also explores impedance, admittance, Kirchhoff's laws, series and parallel impedances, power calculations for resistors, capacitors, and inductors, Thevenin and Norton equivalents, superposition theorem, and frequency analysis examples.

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Ontological neighbourhood

Physics

Electromagnetism: Electrical networks

Related concepts (32)

Electrical impedance

In electrical engineering, impedance is the opposition to alternating current presented by the combined effect of resistance and reactance in a circuit. Quantitatively, the impedance of a two-terminal circuit element is the ratio of the complex representation of the sinusoidal voltage between its terminals, to the complex representation of the current flowing through it. In general, it depends upon the frequency of the sinusoidal voltage.

Thévenin's theorem

As originally stated in terms of direct-current resistive circuits only, Thévenin's theorem states that "Any linear electrical network containing only voltage sources, current sources and resistances can be replaced at terminals A–B by an equivalent combination of a voltage source Vth in a series connection with a resistance Rth." The equivalent voltage Vth is the voltage obtained at terminals A–B of the network with terminals A–B open circuited.

Equivalent circuit

In electrical engineering, an equivalent circuit refers to a theoretical circuit that retains all of the electrical characteristics of a given circuit. Often, an equivalent circuit is sought that simplifies calculation, and more broadly, that is a simplest form of a more complex circuit in order to aid analysis. In its most common form, an equivalent circuit is made up of linear, passive elements. However, more complex equivalent circuits are used that approximate the nonlinear behavior of the original circuit as well.

Equivalent impedance transforms

An equivalent impedance is an equivalent circuit of an electrical network of impedance elements which presents the same impedance between all pairs of terminals as did the given network. This article describes mathematical transformations between some passive, linear impedance networks commonly found in electronic circuits. There are a number of very well known and often used equivalent circuits in linear network analysis. These include resistors in series, resistors in parallel and the extension to series and parallel circuits for capacitors, inductors and general impedances.

Input impedance

The input impedance of an electrical network is the measure of the opposition to current (impedance), both static (resistance) and dynamic (reactance), into a load network that is external to the electrical source network. The input admittance (the reciprocal of impedance) is a measure of the load network's propensity to draw current. The source network is the portion of the network that transmits power, and the load network is the portion of the network that consumes power.

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