[tex]\operatorname{div}\,\mathbf{F}(p) =(adsbygoogle = window.adsbygoogle || []).push({});

\lim_{V \rightarrow \{p\}}

\iint_{S(V)} {\mathbf{F}\cdot\mathbf{n} \over |V| } \; dS[/tex]

This is the definition of divergence from wikipedia...

The divergence is property of a point in space. Is that right?

If the divergence is zero at a point, that means that such point does not contribute with the field as source nor a sink. Is that right?

So, the divergence of a point measures how that point contributes as a source or a sink with the field?

The surface integral in the equation above means a certain area, right? Is that area the area of the entire surface (like a gaussian surface in the gauss's law) or the area of the micro-surface that is "around" the point I'm measuring the divergence on?

Usually I like to think in the dimensions of the conceps (units). I noticed that the unit of divergence will always be area/volume (m^-1). Does that have any meaning?

If someone can help me with some of these questions I would be grateful...

Thank you,

Rafael Andreatta

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# Trying to understand the concept of divergence

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