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IEVref:121-12-18ID:
Language:enStatus: Standard
Term: effective complex relative permittivity
Synonym1:
Synonym2:
Synonym3:
Symbol: εre
Definition: 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.


Publication date:1998-08
Source:
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Internal notes:2017-06-02: Cleanup - Remove Attached Image 121-12-181.gif

2017-06-02: Cleanup - Remove Attached Image 121-12-182.gif
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