What happens to the force between two magnetic poles when their pole strength and the distance between them are both doubled?

Magnetic lines of force due to a bar magnet do not intersect because

Verify Ampere's law for the magnetic field of a point dipole with dipole moment $\vec{M} = M\hat{k}$. Take $C$ as the closed curve running clockwise along the $x$-axis from $x = R$ to $x = a$,then along a circular arc of radius $r$ in the $xz$-plane from $\theta = 0$ to $\theta = \pi$,and finally back to the starting point.

What is the magnetism analog of charge in electricity?

$A$ wire of magnetic material of length $2L$ and magnetic moment $M$ is bent at the centre to form an $L$-shaped wire. Its magnetic moment is

There is no couple acting when two bar magnets are placed coaxially separated by a distance because