Question

Prove the divergence of magnetic field is zero

Answer 1

Divergence means the field is either converging to a point/source or diverging from it. Divergence of magnetic field is zero everywhere because if it is not it would mean that a monopole is there since field can converge to or diverge from monopole. So its divergence is zero everywhere.

Answer 2

Answer:

The divergence of the magnetic field measures the amount of magnetic charge. Since there are no monopoles, the divergence of the magnetic field is zero. According to Gauss's law, the divergence should be proportional to the density of magnetic "charge".