About: Foster's reactance theorem

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Foster's reactance theorem is an important theorem in the fields of electrical network analysis and synthesis. The theorem states that the reactance of a passive, lossless two-terminal (one-port) network always strictly monotonically increases with frequency. It is easily seen that the reactances of inductors and capacitors individually increase with frequency and from that basis a proof for passive lossless networks generally can be constructed. The proof of the theorem was presented by Ronald Martin Foster in 1924, although the principle had been published earlier by Foster's colleagues at American Telephone & Telegraph.

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rdf:type	yago:WikicatCircuitTheorems yago:Abstraction100002137 yago:Communication100033020 yago:Message106598915 yago:Proposition106750804 yago:Statement106722453 yago:Theorem106752293
rdfs:label	Foster's reactance theorem (en)
rdfs:comment	Foster's reactance theorem is an important theorem in the fields of electrical network analysis and synthesis. The theorem states that the reactance of a passive, lossless two-terminal (one-port) network always strictly monotonically increases with frequency. It is easily seen that the reactances of inductors and capacitors individually increase with frequency and from that basis a proof for passive lossless networks generally can be constructed. The proof of the theorem was presented by Ronald Martin Foster in 1924, although the principle had been published earlier by Foster's colleagues at American Telephone & Telegraph. (en)
foaf:depiction
dcterms:subject	Circuit theorems
Wikipage page ID	3610236 (xsd:integer)
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Link from a Wikipage to another Wikipage	Capacitor Amplifier Circuit theorems Negative impedance converter Zeros and poles Network analysis (electrical circuits) Electrical impedance Electrical reactance Frequency George Ashley Campbell Monotonic Equivalent impedance transforms Antenna (radio) Antiresonance Steady-state Strictly Phase (waves) Pole (complex analysis) Positive-real function Admittance Wilhelm Cauer Distributed-element circuit Distributed-element model Dual impedance Duality (electrical circuits) R. M. Foster Alternating current Angular frequency Otto Julius Zobel Isomorphism Necessary and sufficient condition Positive feedback Rational function Smith chart LC circuit Laplace transform Susceptance Driving point impedance Polynomial Imaginary unit Inductance Inductor Canonical form Capacitance Multiplexing Network synthesis Network synthesis filters Imaginary number Immittance Impedance matching Transmission line American Telephone & Telegraph Chu-Harrington limit One-port Resonant frequency
Link from a Wikipage to an external page	http://www3.alcatel-lucent.com/bstj/vol01-1922/articles/bstj1-2-1.pdf http://www3.alcatel-lucent.com/bstj/vol02-1923/articles/bstj2-1-1.pdf http://www3.alcatel-lucent.com/bstj/vol03-1924/articles/bstj3-2-259.pdf%09 https://books.google.com/books%3Fid=4jt4gBgiDbIC&pg=PA8 https://books.google.com/books%3Fid=Sex_282iULMC&pg=PA157 https://books.google.com/books%3Fid=bJrYx827oWsC&pg=PA459 http://www.cs.princeton.edu/courses/archive/fall03/cs323/links/cauer.pdf
sameAs	Foster's reactance theorem Foster's reactance theorem Foster's reactance theorem Foster's reactance theorem
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thumbnail	wiki-commons:Special:FilePath/Reactance_L.svg?width=300
has abstract	Foster's reactance theorem is an important theorem in the fields of electrical network analysis and synthesis. The theorem states that the reactance of a passive, lossless two-terminal (one-port) network always strictly monotonically increases with frequency. It is easily seen that the reactances of inductors and capacitors individually increase with frequency and from that basis a proof for passive lossless networks generally can be constructed. The proof of the theorem was presented by Ronald Martin Foster in 1924, although the principle had been published earlier by Foster's colleagues at American Telephone & Telegraph. The theorem can be extended to admittances and the encompassing concept of immittances. A consequence of Foster's theorem is that zeros and poles of the reactance must alternate with frequency. Foster used this property to develop two canonical forms for realising these networks. Foster's work was an important starting point for the development of network synthesis. It is possible to construct non-Foster networks using active components such as amplifiers. These can generate an impedance equivalent to a negative inductance or capacitance. The negative impedance converter is an example of such a circuit. (en)
gold:hypernym	Theorem

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