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IEVref:121-11-62ID:
Language:enStatus: Standard
Term: Maxwell equations
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Definition: 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.


Publication date:1998-08
Source:705-01-08 MOD
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Internal notes:2017-06-02: Cleanup - Remove Attached Image 121-11-62.gif
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