Two short bar magnets have their magnetic moments $1.2\,\text{A\,m}^2$ and $1.0\,\text{A\,m}^2$. They are placed on a horizontal table parallel to each other at a distance of $20\,\text{cm}$ between their centres, such that their north poles pointing towards geographic south. They have common magnetic equatorial line. Horizontal component of earth's field is $3.6 \times 10^{-5}\,\text{T}$. Then, the resultant horizontal magnetic induction at midpoint of the line joining their centres is ($\mu_0/4\pi = 10^{-7}\,\text{N/A}^2$)