The Earth's magnetic field at some place on magnetic equator of Earth is $0.5\times {10}^{-4}\mathrm{T}$. Consider the radius of Earth at that place as $6400 \mathrm{km}$. Then, magnetic dipole moment of the Earth is ___________ ${\mathrm{Am}}^2$ $\left({\mu }_0=4\pi \times {10}^{-7}{\mathrm{TmA}}^{-1}\right)$

Two identical short bar magnets, each having magnetic moment of $10 \mathrm{A} {\mathrm{m}}^2,$ 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 $0.2 \mathrm{m},$ the resultant magnetic induction at a point midway between them is $\left({\mu }_0=4\pi \times {10}^{-7} \mathrm{H} {\mathrm{m}}^{-1}\right)$