Maxwell’s Equations by Jürgen Donnevert

Author:Jürgen Donnevert
Language: eng
Format: epub
ISBN: 9783658293765
Publisher: Springer Fachmedien Wiesbaden

(3.54)

In (Fig. 3.21), a surface with the contour is depicted. Within the contour the current density is location dependent. If in (3.54) the surface is reduced to a very small surface , the current density can be assumed to be constant in this surface.

With the small surface (3.54) changes into

(3.55)

In (3.55), is the contour of the small surface . Dividing both sides of this equation by yields

(3.56)

Multiplying both sides with the unit vector gives a relationship with only the current density on the right side

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