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Area Electromagnetism / Electromagnetic properties of materials

IEV ref121-12-18

Symbol
εre

en
effective complex relative permittivity
under sinusoidal conditions in a medium where the phasors D, E and J representing respectively the electric flux density, the electric field strength and the electric current density are linearly related, complex quantity εre defined by the relation

ε 0 ε _ re E _ = D _ + J _ jω = D _ j γ E _ ω MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiabew7aLnaaBaaaleaacaaIWaaabeaakiaaykW7caaMc8UafqyTduMba0badaWgaaWcbaGaaeOCaiaabwgaaeqaaOGaaGPaVpaamaaabaGaamyraaaacqGH9aqpdaadaaqaaiaadseaaaGaey4kaSYaaSaaaeaadaadaaqaaiaadQeaaaaabaGaaeOAaiabeM8a3baacqGH9aqpdaadaaqaaiaadseaaaGaeyOeI0IaaeOAamaalaaabaGaeq4SdCMaaGPaVpaamaaabaGaamyraaaaaeaacqaHjpWDaaaaaa@5149@

where γ is the conductivity of the medium, ω the angular frequency and ε0 the electric constant

Note 1 – The effective complex relative permittivity is generally frequency dependent. For an isotropic medium the effective complex relative permittivity is a scalar; for an anisotropic medium it is a tensor.

Note 2 – The effective complex relative permittivity and the complex relative permittivity εr are linked by the relation

ε _ re = ε _ r jγ ε 0 ω MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaaykW7cuaH1oqzgaqhamaaBaaaleaacaqGYbGaaeyzaaqabaGccaaMc8Uaeyypa0JafqyTduMba0badaWgaaWcbaGaaeOCaaqabaGccqGHsisldaWcaaqaaiaabQgacqaHZoWzcaaMc8oabaGaeqyTdu2aaSbaaSqaaiaaicdaaeqaaOGaeqyYdChaaaaa@49BD@

In a conductive medium, including good conductors and imperfect dielectrics, the useful and measurable quantity is the effective complex relative permittivity.

Note 3 – The negative of the imaginary part of the effective complex relative permittivity represents both dielectric losses and losses due to the conductivity, the part due to conductivity being represented by γ/ε0ω.


fr
permittivité relative complexe équivalente, f
en régime sinusoïdal, dans un milieu tel qu'une relation linéaire existe en chaque point entre les phaseurs D, E et J représentant respectivement l'induction électrique, le champ électrique et la densité de courant électrique, grandeur complexe εre définie par la relation

ε 0 ε _ re E _ = D _ + J _ jω = D _ j γ E _ ω MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiabew7aLnaaBaaaleaacaaIWaaabeaakiaaykW7caaMc8UafqyTduMba0badaWgaaWcbaGaaeOCaiaabwgaaeqaaOGaaGPaVpaamaaabaGaamyraaaacqGH9aqpdaadaaqaaiaadseaaaGaey4kaSYaaSaaaeaadaadaaqaaiaadQeaaaaabaGaaeOAaiabeM8a3baacqGH9aqpdaadaaqaaiaadseaaaGaeyOeI0IaaeOAamaalaaabaGaeq4SdCMaaGPaVpaamaaabaGaamyraaaaaeaacqaHjpWDaaaaaa@5149@

γ est la conductivité du milieu, ω la pulsation et ε0 la constante électrique

Note 1 – La permittivité relative complexe équivalente, généralement fonction de la fréquence, est une grandeur scalaire dans un milieu isotrope, une grandeur tensorielle dans un milieu anisotrope.

Note 2 – La permittivité relative complexe équivalente et la permittivité relative complexe εr sont reliées par la relation

ε _ re = ε _ r jγ ε 0 ω MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaaykW7cuaH1oqzgaqhamaaBaaaleaacaqGYbGaaeyzaaqabaGccaaMc8Uaeyypa0JafqyTduMba0badaWgaaWcbaGaaeOCaaqabaGccqGHsisldaWcaaqaaiaabQgacqaHZoWzcaaMc8oabaGaeqyTdu2aaSbaaSqaaiaaicdaaeqaaOGaeqyYdChaaaaa@49BD@

Dans les milieux conducteurs, tels que les bons conducteurs et les diélectriques imparfaits, la grandeur utile et mesurable est la permittivité relative complexe équivalente.

Note 3 – L'opposé de la partie imaginaire de la permittivité relative complexe équivalente caractérise l'ensemble des pertes diélectriques et des pertes dues à la conductivité, la contribution de ces dernières étant représentée par γ/ε0ω.


ar
سماحية ،مجاوزية نسبية مركبة فعالة

de
effektive komplexe Permittivitätszahl, f
effektive komplexe relative Permittivität, f

es
permitividad relativa compleja equivalente

fi
efektiivinen kompleksinen suhteellinen permittiivisyys

it
permettività relativa complessa equivalente

ja
実行複素比誘導電率

no
nb effektiv kompleks relativ permittivitet

nn effektiv kompleks relativ permittivitet

pl
przenikalność elektryczna względna zespolona uogólniona
przenikalność elektryczna uogólniona
przenikalność elektryczna względna zespolona efektywna

pt
permitividade relativa complexa equivalente

ru
эффективная комплексная относительная диэлектрическая проницаемость

sv
ekvivalent permittivitetstal

Publication date: 1998-08
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