significance of curl and divergence of a vector field
A curl is in simplest words is the calculation of the circulation per unit area The physical significance of the curl of a vector field is the amount of "rotation" or angular momentum of the stuffing of given region of space. It happens in fluid mechanics and elasticity theory. It is also basic in the theory of electromagnetism. If the value of curl is zero then the field is said to be a non rotational field
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 called source- Divergence of a vector field is negative if the vector field converges at that point called sink. .If just as much of the vector field points in as out, the divergence will be approximately zero.