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Electrical Circuits - University of Washington

Application ofLinear AlgebrainElectrical CircuitsSeamleng TaingMath 308 Autumn 2001 December 2, 2001 Table of of Linear Algebra in Electrical CircuitsSimple series or parallel CircuitsNodal Voltage Analysis and Loop Current AnalysisGaussian Current Analysis using Gaussian EliminationNodal Voltage Analysis using Gaussian Algebra in Electrical CircuitsPerhaps one of the most apparent uses of linear algebra is that which is used inElectrical Engineering. As most students of mathematics have encountered, when thesubject of systems of equations is introduced, math class is temporarily converted into acrash course in Electrical components. There, the resistor, voltage source and capacitortake the stage as well as their accompanying language consisting of Kirchoff and the basic concepts down, math class is resumed and students can look forward toplaying with n number of equations with n number of unknowns.

Simple Series or Parallel Circuits For simple circuits, such as those used in math textbooks to introduce systems of equations, it is often sufficient to use series and parallel relationships to simplify circuits. With this done, Ohm’s Law (V=RI) can be used to find voltages or currents.

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