Electromagnetic Induction

A circular wire loop of radius R is placed in the xy plane centred at the origin O. A square loop of side a(a << R) having two turns is placed with its centre at z = \(\sqrt3\)R along the axis of the circular wire loop, as shown in the figure. The plane of the square loop makes an angle of 45\(^\circ\) with respect to z-axis. If the mutual inductance between the loops is given by \({{{\mu _0}{a^2}} \over {{2^{p/2}}R}}\), then the value of p is ___________.