$B_{1}=B_{2}$

At point $P$

The magnetic field will be in same direction by both coils,

$B=B_{1}+B_{2}$

$=B_{1}+B_{1}$

$=2 B_{1}$

The magnetic field at point $P$ is,

$B=2\left(\frac{\mu_{0} i r^{2}}{2\left(r^{2}+n^{2}\right)^{3 / 2}}\right)$

$=\frac{\mu_{0} i r^{2}}{2\left(r^{2}+n^{2}\right)^{3 / 2}}$

Substitute the values in the above equation.

$B=\frac{\mu_{0} \times \frac{7}{2} \times 0.1^{2}}{2\left(0.1^{2}+0.05^{2}\right)^{3 / 2}}$

$=\frac{56 \mu_{0}}{\sqrt{5}} T$