Electromagnetic Fields: Vector Flow

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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.