Physical significance of divergence of a vector:-

1. It is operated on a vector and produces a scalar.
2. It signifies that the given vector is source or sink.
3. Let A is a vector quantity, then ;
4. 𝛁. A = div(A) (scalar)
+ve ; vector is source
5. 𝛁. A = -ve ; vector is sink
0 ; neither source nor sink

6. When 𝛁. A = 0 , vector is solenoid.



Where; 𝛁=Delta