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Lecture# Thevenin and Norton Theorems in Alternating Regime: Superposition Principle

Description

This lecture covers the Thevenin and Norton theorems in the alternating regime, focusing on voltage sources, current sources, and passive linear elements. It explains the equivalence of circuits, providing examples and detailing the conditions for both cases where sources have the same frequency and where they do not. Additionally, it delves into the principle of superposition, illustrating how to handle cases with different frequencies and complex time domains. The transformation of complex instantaneous values into snapshots and effective phasors is thoroughly discussed, emphasizing the vector sum of contributions. The lecture concludes by highlighting the validity of the superposition principle in alternative regimes, considering different source groupings and conditions.

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In course

MICRO-100: Electrotechnics I

Le cours aborde les bases des circuits électriques composés d'éléments linéaires, en régime continu. Une série de méthodes de transformations sera traitée.
Le régime alternatif est traité en fin de se

In MOOCs (2)

Instructors (3)

Electrical Engineering I

Découvrez les circuits électriques linéaires. Apprenez à les maîtriser et à les résoudre, dans un premier temps en régime continu puis en régime alternatif.

Electrical Engineering I

Découvrez les circuits électriques linéaires. Apprenez à les maîtriser et à les résoudre, dans un premier temps en régime continu puis en régime alternatif.

Related concepts (71)

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.

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis, a branch of mathematical analysis, may be viewed as the application of linear algebra to spaces of functions.

Linear span

In mathematics, the linear span (also called the linear hull or just span) of a set S of vectors (from a vector space), denoted span(S), is defined as the set of all linear combinations of the vectors in S. For example, two linearly independent vectors span a plane. The linear span can be characterized either as the intersection of all linear subspaces that contain S, or as the smallest subspace containing S. The linear span of a set of vectors is therefore a vector space itself. Spans can be generalized to matroids and modules.

Linear map

In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping between two vector spaces that preserves the operations of vector addition and scalar multiplication. The same names and the same definition are also used for the more general case of modules over a ring; see Module homomorphism. If a linear map is a bijection then it is called a .

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In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants). The concept of linear combinations is central to linear algebra and related fields of mathematics. Most of this article deals with linear combinations in the context of a vector space over a field, with some generalizations given at the end of the article.