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ELECTROMAGNETIC FIELDS AND THEORY: FIELDS AND VECTORS: Flow of a vector

1.5 Flow of a vector.

Another important vector concept that is used in the definition of divergence, is the flow of a vector. We will start by defining a differential of flow as shown in figure [8a], the following way,

        (32)

were a differential element of area is applied in a vector way.

 
     
 

       
   


We can now define the flow φ  of vector "F", through  So surface as,

        (33)

Were it is convenient to remember that this integral is the limit of an addition of differential operations, on surface S0.

 

 
     
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