How can it be proved that the strength of the North and
South poles of the magnet is same ?

Answer Posted / bob

Gauss' law shows that there is no divergence in the magnetic
field. What this means is that there are no free floating
magnetic charges, thus every north pole is equally balanced
by a south pole. This is an asymmetry in Maxwell's equations
and people have looked for such an imbalance in nature, but
it has never been found. So the technical answer is the
equations can be shown to support equal north and south
poles, and they have not been shown to be incorrect.

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