Divergence Of a Vector Field ( div A) - Definition, Significance & Solved Problems.
Mathematically divergence of a vector A is defined as: Where the surface S is a closed surface that completely surrounds a small volume Δ v and where ds points outward from the closed surface. - A divergence is applied to a vector as a function of position, yielding a scalar . The divergence actually measures how much the vector function is spreading out. - Divergence of a vector field A is a measure of how much a vector field converges to or diverges from a given point. In simple terms it is a measure of the outgoingness of a vector field. - Divergence of a vector field is positive if the vector diverges or spread out from a given point. If you are at a location from which the vector field tends to point away in all directions, you will definitely have a positive divergence. It means divergence is positive at a source point in the field. - Divergence of a vector field is negative if the vector field converges at that point. If the field points in...