The intensities of magnetic field at two points on the axis of a bar magnet at distances $0.1 \mathrm{m}$ and $0.2 \mathrm{m}$ from its middle point are in the ratio $12.5:1$. Calculate the distance between the poles of the magnet.

Two short magnets of magnetic moments $a$ and $b$ of magnetic moments $32 \mathrm{A} {\mathrm{m}}^2$ and $27 \mathrm{A} {\mathrm{m}}^2$ are placed on a table, as shown in figure. Find the magnitude and direction of the magnetic field produced.

These magnets at point $P$ situated at the equatorial lines of both the magnets at distances $40 \mathrm{cm}$ and $30 \mathrm{cm}$ respectively from the centres of the two magnets.