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IEVref:131-12-32ID:
Language:enStatus: Standard
Term: capacitance matrix
Synonym1:
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Symbol: C
Definition: for a linear capacitive n-terminal element, matrix m × m, where m = n − 1, used to express the electric charges qi (131-12-11) at m terminals as functions of the voltages (131-11-56) ujn between these terminals and the remaining nth terminal:

( q 1 q 2 q i q m )=( C 11 C 12 C 1j C 1m C 21 C 22 C 2j C 2m C i1 C i2 C ij C im C m1 C m2 C mj C mm )( u 1n u 2n u jn u mn ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aadaqadaqaauaabeqageaaaaqaaiaadghadaWgaaWcbaqcLboacaaI XaaaleqaaaGcbaGaamyCamaaBaaaleaajug4aiaaikdaaSqabaaake aacqWIUlstaeaacaWGXbWaaSbaaSqaaiaadMgaaeqaaaGcbaGaeSO7 I0eabaGaamyCamaaBaaaleaacaWGTbaabeaaaaaakiaawIcacaGLPa aacqGH9aqpdaqadaqaauaabeqagyaaaaaabaGaam4qamaaBaaaleaa jug4aiaaigdacaaIXaaaleqaaaGcbaGaam4qamaaBaaaleaajug4ai aaigdacaaIYaaaleqaaaGcbaGaeS47IWeabaGaam4qamaaBaaaleaa jug4aiaaigdaliaadQgaaeqaaaGcbaGaeS47IWeabaGaam4qamaaBa aaleaajug4aiaaigdaliaad2gaaeqaaaGcbaGaam4qamaaBaaaleaa jug4aiaaikdacaaIXaaaleqaaaGcbaGaam4qamaaBaaaleaajug4ai aaikdacaaIYaaaleqaaaGcbaGaeS47IWeabaGaam4qamaaBaaaleaa jug4aiaaikdaliaadQgaaeqaaaGcbaGaeS47IWeabaGaam4qamaaBa aaleaajug4aiaaikdaliaad2gaaeqaaaGcbaGaeSO7I0eabaGaeSO7 I0eabaGaeSy8I8eabaGaeSO7I0eabaGaeSy8I8eabaGaeSO7I0eaba Gaam4qamaaBaaaleaacaWGPbqcLboacaaIXaaaleqaaaGcbaGaam4q amaaBaaaleaacaWGPbGaaGOmaaqabaaakeaacqWIVlctaeaacaWGdb WaaSbaaSqaaiaadMgacaWGQbaabeaaaOqaaiabl+Uimbqaaiaadoea daWgaaWcbaGaamyAaiaad2gaaeqaaaGcbaGaeSO7I0eabaGaeSO7I0 eabaGaeSy8I8eabaGaeSO7I0eabaGaeSy8I8eabaGaeSO7I0eabaGa am4qamaaBaaaleaacaWGTbqcLboacaaIXaaaleqaaaGcbaGaam4qam aaBaaaleaacaWGTbGaaGOmaaqabaaakeaacqWIVlctaeaacaWGdbWa aSbaaSqaaiaad2gacaWGQbaabeaaaOqaaiabl+Uimbqaaiaadoeada WgaaWcbaGaamyBaiaad2gaaeqaaaaaaOGaayjkaiaawMcaaiabgwSi xpaabmaabaqbaeqabyqaaaaabaGaamyDamaaBaaaleaajug4aiaaig daliaad6gaaeqaaaGcbaGaamyDamaaBaaaleaajug4aiaaikdaliaa d6gaaeqaaaGcbaGaeSO7I0eabaGaamyDamaaBaaaleaacaWGQbGaam OBaaqabaaakeaacqWIUlstaeaacaWG1bWaaSbaaSqaaiaad2gacaWG UbaabeaaaaaakiaawIcacaGLPaaaaaa@C1A5@

NOTE 1 – A capacitance matrix is always symmetric and positive definite.

NOTE 2 – A capacitance matrix can also be determined for a set of electric circuit elements having capacitive 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 131-12-32en.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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