Revision as of 19:18, 14 June 2021 edit 70.113.56.202 (talk) →Impedances in series and in parallel: Changed "any" to "some." A simple counterexample is a tetrahedral network of resistors. Any two terminal network of impedances can be reduced to a single impedance with the methods mentioned later in this article (please find a citation for this), but not by simple series and parallel transforms. Tags: Mobile edit Mobile web edit ← Previous edit		Revision as of 10:30, 18 August 2021 edit undo 41.190.30.57 (talk) →Transfer function Tags: Reverted Mobile edit Mobile web edit Next edit →
Line 152: ==Transfer function== A [[transfer function]] expresses the relationship between an input and an output of a network. For resistive networks, this will always bedbe a simple real number or an expression which boils down to a real number. Resistive ~~networks~~networksf are represented by a system of simultaneous algebraic equations. However, in the general case of linear networks, the network is represented by a system of simultaneous linear differential equations. In network analysis, rather than use the differential equations directly, it is usual practice to carry out a [[Laplace transform]] on them first and then express the result in terms of the Laplace parameter s, which in general is [[Complex number\|complex]]. This is described as working in the [[s-___domain]]. Working with the equations directly would be described as working in the time (or t) ___domain because the results would be expressed as time varying quantities. The Laplace transform is the mathematical method of transforming between the s-___domain and the t-___domain. This approach is standard in [[control theory]] and is useful for determining [[Stable polynomial\|stability]] of a system, for instance, in an amplifier with feedback.

Network analysis (electrical circuits): Difference between revisions