0
5.4kviews
What is a divergence of vector field. Express it in cartesian, spherical and cylindrical coordinates
1 Answer
0
294views

The rate of change of a vector field is complex. The divergence of a vector field indicates how much the vector field spreads out from a certain point. The divergence of a vector is scalar.

If B=Bxˆix+Byˆiy+Bzˆiz

Its divergence is written as .B=Bxx+Byy+Bzz

In cylindrical coordinates, the field is written asB=Brˆrx+Bϕˆiϕ+Bzˆiz

The divergence of the field is .B=1rr(rBr)+1rBϕϕ+Bzz

In spherical coordinates, B=Brˆrx+Bθˆiθ+Bϕˆiϕ

the divergence of a vector field is given by .B=1r2r(r2Br)+1rsinθθ(sinθBθ)+1rsinθBϕϕ

Please log in to add an answer.