Vector Fields: Sources, Sinks, and Rotation

Vector fields can spread outward, pull inward, or rotate around a point. Divergence describes the net outward flow of flux from a small volume through a closed surface as the volume gets very small. In simple terms, it shows how much a vector field spreads out from a point.

When the flux moves ou...

The divergence of a vector field at a point is the net outward flux per unit volume, as the volume at that point shrinks to zero.

Mathematically, divergence is the dot product of the del operator with the vector field.

Consider a vector field of water flowing through a pipe. If the water flows with constant velocity, it does not di...