Two circular coils P and Q of 100 turns each have same radius of π cm. The currents in P and R are 1 A and 2 A respectively. P and Q are placed with…

Two circular coils $\displaystyle P$ and $\displaystyle Q$ of $\displaystyle 100$ turns each have same radius of $\displaystyle \pi \mathrm{cm}$. The currents in $\displaystyle P$ and $\displaystyle R$ are $\displaystyle 1 A$ and $\displaystyle 2 A$ respectively. $\displaystyle P$ and $\displaystyle Q$ are placed with their planes mutually perpendicular with their centers coincide. The resultant magnetic field induction at the center of the coils is $\displaystyle \sqrt{x} m T$, where $\displaystyle x=$ $\displaystyle \_\_\_\_$. $\displaystyle \left[\right.$ Use $\displaystyle \left.\mu_0=4 \pi \times 10^{-7} T m A^{-1}\right]$