JEE Main 2024 — Magnetic Effects of Current Question with Solution

Two circular coils $P$ and $Q$ of $100$ turns each have same radius of $\pi \mathrm{cm}$. The currents in $P$ and $R$ are $1 \mathrm{A}$ and $2 \mathrm{A}$ respectively. $P$ and $Q$ are placed with their planes mutually perpendicular with their centers coincide. The resultant magnetic field induction at the center of the coils is $\sqrt{x} \mathrm{mT}$, where $x=$ ______. [Use ${\mu }_0=4\pi \times {10}^{-7} \mathrm{T} \mathrm{m} {\mathrm{A}}^{-1}$]