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IEVref:131-12-34ID:
Language:enStatus: Standard
Term: inductance matrix
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Symbol: L
Definition: for a linear inductive m-terminal-pair element, matrix m × m used to express the linked fluxes Ψi (131-12-17) between the terminals of each pair, as a function of the electric currents ij at the first terminal of each pair:

( Ψ 1 Ψ 2 Ψ i Ψ m )=( L 11 L 12 L 1j L 1m L 21 L 22 L 2j L 2m L i1 L i2 L ij L im L m1 L m2 L mj L mm )( i 1 i 2 i j i m ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aadaqadaqaauaabeqageaaaaqaaiaadI6adaWgaaWcbaqcLboacaaI XaaaleqaaaGcbaGaamiQdmaaBaaaleaajug4aiaaikdaaSqabaaake aacqWIUlstaeaacaWGOoWaaSbaaSqaaiaadMgaaeqaaaGcbaGaeSO7 I0eabaGaamiQdmaaBaaaleaacaWGTbaabeaaaaaakiaawIcacaGLPa aacqGH9aqpdaqadaqaauaabeqagyaaaaaabaGaamitamaaBaaaleaa jug4aiaaigdacaaIXaaaleqaaaGcbaGaamitamaaBaaaleaajug4ai aaigdacaaIYaaaleqaaaGcbaGaeS47IWeabaGaamitamaaBaaaleaa jug4aiaaigdaliaadQgaaeqaaaGcbaGaeS47IWeabaGaamitamaaBa aaleaajug4aiaaigdaliaad2gaaeqaaaGcbaGaamitamaaBaaaleaa jug4aiaaikdacaaIXaaaleqaaaGcbaGaamitamaaBaaaleaajug4ai aaikdacaaIYaaaleqaaaGcbaGaeS47IWeabaGaamitamaaBaaaleaa jug4aiaaikdaliaadQgaaeqaaaGcbaGaeS47IWeabaGaamitamaaBa aaleaajug4aiaaikdaliaad2gaaeqaaaGcbaGaeSO7I0eabaGaeSO7 I0eabaGaeSy8I8eabaGaeSO7I0eabaGaeSy8I8eabaGaeSO7I0eaba GaamitamaaBaaaleaacaWGPbqcLboacaaIXaaaleqaaaGcbaGaamit amaaBaaaleaacaWGPbGaaGOmaaqabaaakeaacqWIVlctaeaacaWGmb WaaSbaaSqaaiaadMgacaWGQbaabeaaaOqaaiabl+UimbqaaiaadYea daWgaaWcbaGaamyAaiaad2gaaeqaaaGcbaGaeSO7I0eabaGaeSO7I0 eabaGaeSy8I8eabaGaeSO7I0eabaGaeSy8I8eabaGaeSO7I0eabaGa amitamaaBaaaleaacaWGTbqcLboacaaIXaaaleqaaaGcbaGaamitam aaBaaaleaacaWGTbGaaGOmaaqabaaakeaacqWIVlctaeaacaWGmbWa aSbaaSqaaiaad2gacaWGQbaabeaaaOqaaiabl+UimbqaaiaadYeada WgaaWcbaGaamyBaiaad2gaaeqaaaaaaOGaayjkaiaawMcaaiabgwSi xpaabmaabaqbaeqabyqaaaaabaGaamyAamaaBaaaleaajug4aiaaig daaSqabaaakeaacaWGPbWaaSbaaSqaaKqzGdGaaGOmaaWcbeaaaOqa aiabl6UinbqaaiaadMgadaWgaaWcbaGaamOAaaqabaaakeaacqWIUl staeaacaWGPbWaaSbaaSqaaiaad2gaaeqaaaaaaOGaayjkaiaawMca aaaa@BF21@

NOTE 1 – An inductance matrix is always symmetric and positive definite.

NOTE 2 – An inductance matrix can also be determined for a set of electric circuit elements having inductive couplings between any pair of them.


Publication date:2008-09
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Internal notes:2015-08-20: Added hyphens to cross-refs, put in () and replaced them by URLs. Tagging of variables corrected to be italic. JGO

2017-06-02: Cleanup - Remove Attached Image 131-12-34en.gif

2017-08-25: <math><semantics><mrow><mrow><mo>(</mo><mrow><mstyle displaystyle='true'> changed to <math><semantics><mrow><mstyle displaystyle='true'><mrow><mo>(</mo><mrow>. LMO
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