In cylindrical coordinates:

....................................................................(1.64)

and in spherical polar coordinates:

......................................(1.65)

In connection with the divergence of a vector field, the following can be noted

• Divergence of a vector field gives a scalar.



• ..............................................................................(1.66)

Divergence theorem :
Divergence theorem states that the volume integral of the divergence of vector field is equal to the net outward flux of the vector through the closed surface that bounds the volume. Mathematically,