Two short bar magnets of length $1cm$ each have magnetic moments $1.20 \mathrm{A} {\mathrm{m}}^2$ and $1.00 \mathrm{A} {\mathrm{m}}^2$ respectively. They are placed on a horizontal table parallel to each other with their $\text{N}$ poles pointing towards the south. They have a common magnetic equator and are separated by a distance of $20.0 \mathrm{cm}$. The value of the resultant horizontal magnetic induction at the mid-point $\text{O}$ of the line joining their centres is close to
( Horizontal component of earth's magnetic induction is $3.6\times {10}^{-5} \mathrm{Wb} {\mathrm{m}}^{-2}$ )