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IEVref:121-11-11ID:
Language:enStatus: Standard
Term: (electric) current density
Synonym1: (conduction) current density
[Preferred]
Synonym2: areic electric current
[Preferred]
Synonym3:
Symbol: J
Definition: at a given point within a volume element of quasi-infinitesimal volume V, vector quantity equal to the sum, for all free charge carriers within the volume element, of the products of electric charge and velocity, divided by the volume V:

J= 1 V i=1 n Q i v i MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaGGadiaa=PeacqGH9aqpdaWcaaqaaiaaigdaaeaacaWGwbaaamaaqahabaGaamyuamaaBaaaleaacaWGPbaabeaaaeaacaWGPbGaeyypa0JaaGymaaqaaiaad6gaa0GaeyyeIuoakiaaysW7ieWacaGF2bWaaSbaaSqaaiaadMgaaeqaaaaa@444F@

where n is the number of free carriers within the volume element, Qi the electric charge of the ith carrier and vi its velocity

NOTE – The flux of the electric current density J through any directed surface S is equal to the electric current I through that surface:

I= S J e n dA MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmGadiWaaiWabaabaiaafaaake aacaWGjbGaeyypa0Zaa8quaeaaiiWacaWFkbGaeyyXICTaa8xzamaa BaaaleaaiiaacaGFUbaabeaaaeaacaGFtbaabeqdcqGHRiI8aOGaa4 hzaiaadgeaaaa@4552@

where endA is the vector surface element.


Publication date:1998-08
Source:
Replaces:
Internal notes:2017-06-02: Cleanup - Remove Attached Image 121-11-111.gif

2017-06-02: Cleanup - Remove Attached Image 121-11-112.gif
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