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Area Electromagnetism / Electromagnetic concepts and quantities

IEV ref121-11-62

en
Maxwell equations
set of equations relating the four vector quantities determining the electromagnetic field in a material medium or in vacuum and the two quantities electric current density and volumic electric charge

Note 1 – The Maxwell equations expressed in differential form are:

rot E= B t MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaGWabiaa=jhacaWFVb Gaa8hDaiaaysW7ieWacaGFfbGaeyypa0JaeyOeI0IaaGjbVpaalaaa baaccaGae0NaIyRaaGPaVlaa+jeaaeaacqqFciITcaaMc8Uaa4hDaa aaaaa@45B0@

divD=ρ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaGWaaiaa=rgacaWFPb Gaa8NDaiaaykW7caaMc8ocbmGaa4hraiabg2da9iabeg8aYbaa@3ECB@

rot H=J+ D t MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaGWabiaa=jhacaWFVb Gaa8hDaiaaysW7ieWacaGFibGaeyypa0Jaa4NsaiabgUcaRiaaysW7 daWcaaqaaGGaaiab9jGi2kaaykW7caGFebaabaGae0NaIyRaaGPaVl aa+rhaaaaaaa@4674@

divB=0 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaGWaaiaa=rgacaWFPb Gaa8NDaiaaykW7caaMc8ocbmGaa4NqaGqaaiaa91dacaqFWaaaaa@3D77@

where rot and div denote the rotation and the divergence respectively, E , D , H and B are the four vector quantities determining the electromagnetic field, J is the electric current density, ρ is the volumic electric charge and t is the time.

Note 2 – The Maxwell equations completely define the electromagnetic field in a given medium only together with the relations characterizing the medium, often called constitutive relations; in the case of a linear medium, these relations are expressed in terms of the permittivity, permeability, and conductivity of the medium.


[SOURCE: 705-01-08 MOD]


fr
équations de Maxwell, f pl
système d'équations reliant les quatre grandeurs vectorielles qui déterminent le champ électromagnétique dans un milieu matériel ou dans le vide et les deux grandeurs densité de courant électrique et charge électrique volumique

Note 1 – Les équations de Maxwell, sous leur forme différentielle, sont:

rot E= B t MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaGWabiaa=jhacaWFVb Gaa8hDaiaaysW7ieWacaGFfbGaeyypa0JaeyOeI0IaaGjbVpaalaaa baaccaGae0NaIyRaaGPaVlaa+jeaaeaacqqFciITcaaMc8Uaa4hDaa aaaaa@45B0@

divD=ρ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaGWaaiaa=rgacaWFPb Gaa8NDaiaaykW7caaMc8ocbmGaa4hraiabg2da9iabeg8aYbaa@3ECB@

rot H=J+ D t MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaGWabiaa=jhacaWFVb Gaa8hDaiaaysW7ieWacaGFibGaeyypa0Jaa4NsaiabgUcaRiaaysW7 daWcaaqaaGGaaiab9jGi2kaaykW7caGFebaabaGae0NaIyRaaGPaVl aa+rhaaaaaaa@4674@

divB=0 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaGWaaiaa=rgacaWFPb Gaa8NDaiaaykW7caaMc8ocbmGaa4NqaGqaaiaa91dacaqFWaaaaa@3D77@

rot et div désignent respectivement le rotationnel et la divergence, E , D , H et B sont les quatre grandeurs vectorielles déterminant le champ électromagnétique, J est la densité de courant électrique, ρ la charge électrique volumique et t le temps.

Note 2 – Les équations de Maxwell ne déterminent entièrement le champ électromagnétique dans un milieu donné que si on leur adjoint les relations spécifiques du milieu, appelées souvent relations constitutives; dans le cas d'un milieu linéaire, ces relations font intervenir la permittivité, la perméabilité et la conductivité du milieu.


[SOURCE: 705-01-08 MOD]


ar
معادلات ماكسويل

de
Maxwellsche Gleichungen, f, pl

es
ecuaciones de Maxwell

fi
Maxwellin yhtälöt

it
equazioni di Maxwell

ja
マックスウェルの基礎方程式
マックスウェルの方程式

no
nb Maxwells ligninger

nn Maxwells likningar

pl
równania Maxwella

pt
equações de Maxwell

ru
уравнения Максвелла

sv
Maxwells ekvationer

Publication date: 1998-08
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