Magnetics

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

[Use \(\mu_0=4 \pi \times 10^{-7} \mathrm{~TmA}^{-1}\)]