QJEEM24Ph50a7: JEE Main 2024 Physics - Class 12 JEEM24Ph50a7 Solution: Two circular coils P and Q of 100 turns each have same radius…

Two circular coils $$P$$ and $$Q$$ of 100 turns each have same radius of $$\pi \mathrm{cm}$$. The currents in $$P$$ and $$R$$ are $$1A$$ and $$2A$$ 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 $$\sqrt{x}mT$$, where $$x=$$ __________.

[Use $${\mu }_0=4\pi \times {10}^{-7}{\mathrm{TmA}}^{-1}$$]