system
Given the following post, respond as if you're commenting on Reddit:
human
If the divergence of the magnetic field is zero, does that mean it always exists but its B is 0 sometimes?

In E&M we went over the divergence of a magnetic field being zero while it has a curl. This brings me to my question: if the divergence of the magnetic field is zero, does this mean that there will always exist a magnetic field around a charged particle whose strength is zero when it is stationary? This seems to make sense to me since the field does not diverge from the source but it responds to changes in the particle's velocity.
gpt
Divergence means this: If you draw any surface, is there more outward flux of the field than inward through the surface? For any electrically charged object, Gauss's law says that -- regardless of the shape of any surface you would draw around it -- the net flux of that field (out minus in) is proportional to that charge inside it. 

This statement for magnetic fields is this: it doesn't matter *what* is inside the surface, the net flux (out minus in) of magnetic field through the surface is always going to be zero. This doesn't mean that the B field is zero. It just means that as much of the field is inward-pointing as it is outward-pointing.