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ELECTROMAGNETIC FIELDS AND THEORY: FIELDS AND VECTORS:
Divergence
1.6.2 Divergence.



(40) the same one can be defined using the concept of flow in the following way, (41) this expression can be translated into words the following way: in a particular point, the divergent function is equal to the limit of the flow that passes through the enclosed surface SO from inside to outside, divided by the volume, when the enclosed volume by surface SO and that contains the point tends to zero. 

As an example we will consider the vector field, constituted by the velocity of water that moves throughout a canal and a imaginary enclosed surface SO that’s entirely under water. In normal conditions, as much water enters in the enclosed region SO as comes out; this will mean that there is no net flow from enclosed region SO. It also means that (if conditions are maintained in the limit), that the divergence of velocity is zero.





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