Two identical short bar magnets, each having magnetic moment of $10\, Am^2$, are arranged such that their axial lines are perpendicular to each other and their centres be along the same straight line in a horizontal plane. If the distance between their centres is $0.2 \,m$ , the resultant magnetic induction at a point midway between them is$({\mu _0} = 4\pi \times {10^{ – 7}}\,H{m^{ – 1}})$

Three identical bar magnets each of magnetic moment $M$ are placed in the form of an equilateral triangle as shown. The net magnetic moment of the system is

Verify the Gauss’s law for magnetic field of a point dipole of dipole moment ${{\rm{\vec m}}}$ at the origin for the surface which is a sphere of radius $\mathrm{R}$.

Two short magnets of equal dipole moments $M $ are fastened perpendicularly at their centre (figure). The magnitude of the magnetic field at a distance $d $ from the centre on the bisector of the right angle is

A bar magnet of length $'l'$ and magnetic dipole moment $'M'$ is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be