Two identical small bar magnets each of dipole moment 3 √ 5 J / T are placed at a center to center separation of 10 cm, with their axes perpendicular…

Two identical small bar magnets each of dipole moment $\displaystyle 3 \sqrt{5} \mathrm{~J} / \mathrm{T}$ are placed at a center to center separation of $\displaystyle 10$ cm , with their axes perpendicular to each other as shown in figure. The value of magnetic field at the point P midway between the magnets is $\displaystyle \alpha \times 10^{-3} \mathrm{~T}$. The value of $\displaystyle \alpha$ is $\displaystyle \_\_\_\_$. $$\left(\mu_0=4 \pi \times 10^{-7} \mathrm{Tm} / \mathrm{A}\right) $$