Mathematics · Electromagnetic Induction

A circular loop of radius R lies in the x-y plane with its center at the origin. A small square loop of side a (where a << R) having two turns is placed along the z-axis at a distance z = √3 R. The plane of the square loop is inclined such that its normal makes an angle of 45° with the z-axis. If the mutual inductance M between the two loops is given by M = μ0a22pR, find the value of p.