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 = √3R along the axis of the circular wire loop, as shown in the figure. The plane of the square loop makes an angle of 45° with respect to z-axis. If the mutual inductance between the loops is given by

µ0a2

2 p 2 R

, then the value of p is _____.