Question

Which one of the Maxwell Equations listed below implies the non-existence of magnetic monopoles?

Answer 1

Maxwell's 2nd law, i.e. Gauss Law of Magnetism, states,

.

This means that the net magnetic flux through a closed surface is 0.

Here, the magnetic charge density, which is measured in Webers/metre³ is 0. If magnetic monopole existed, this would not have been 0. {You can compare a magnetic monopole to a positive or negative charge, for understanding}

This can be compared to Maxwell equation for electric field