A circular wire loop of radius R is placed in the x-y plane centeredat the origin O. A square loop of side a (a << R) having twoturnsis placed with its center at $$z = \sqrt{3}R$$ along the axis of the circular wire loop, as shownin figure. The plane of the square loop makes an angle of $$45^\circ$$ with respectto the z-axis. If the mutual inductance between the loops is given by $$\frac{\mu_0 a^2}{2^{\frac{p}{2}}R}$$, then the value of p is