Mathematical methods in electronics: Difference between revisions

Revision as of 06:23, 5 July 2008

Revision as of 00:44, 2 September 2008

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== Mathematics in Electronics ==

Electrical Engineering careers usually include courses in [[Calculus]] (single and [[Multivariable Calculus|multivariable]]), [[Complex analysis|Complex Analysis]], [[Differential Equations]] (both [[Ordinary differential equation|ordinary]] and [[Partial differential equation|partial]]), [[Linear Algebra]] and [[Probability]]. [[Fourier Analysis ]] and [[Z-transform|Z-Transforms]] are also subjects which are usually included in electrical engineering programs.

Of these subjects, Calculus and Differential equations are usually prerequisites for the Physics courses required in most electrical engineering programs (mainly Mechanics, Electromagnetism & Semiconductor Physics). Complex Analysis has direct applications in Circuit Analysis, while Fourier Analysis is needed for all Signals & Systems courses, as are Linear Algebra and Z-Transform.

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== Basic applications ==

A number of electrical laws apply to all electrical networks. These include

*[[Faraday's law of induction|Faraday's law of induction]]: Any change in the magnetic environment of a coil of wire will cause a voltage (emf) to be "induced" in the coil.

*[[Gauss's law |Gauss's Law]]: The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity.

*[[Kirchhoff's circuit laws#Kirchhoff's current law|Kirchhoff's current law]]: the sum of all currents entering a node is equal to the sum of all currents leaving the node.

*[[Kirchhoff's circuit laws#Kirchhoff's voltage law|Kirchhoff's voltage law]]: the directed sum of the electrical potential differences around a circuit must be zero.