A small square loop of wire of side l is placed inside a large square loop of wire of side L(L=l^2). The loops are coplanar and their centers…

A small square loop of wire of side $\displaystyle l$ is placed inside a large square loop of wire of side $\displaystyle L\left(L=l^2\right)$. The loops are coplanar and their centers coincide. The value of the mutual inductance of the system is $\displaystyle \sqrt{x} \times 10^{-7} \mathrm{H}$, where $\displaystyle x=$ $\displaystyle \_\_\_\_$.