Find the mutual inductance in the arrangement, when a small circular loop of wire of radius '$R$' is placed inside a large square loop of wire of side $L$ $(L \gg R)$. The loops are coplanar and their centres coincide :

Question

$M=\frac{\sqrt{2} \mu_{0} R}{L^{2}}$

$M=\frac{2 \sqrt{2} \mu_{0} R}{L^{2}}$

$M=\frac{2 \sqrt{2} \mu_{0} R^{2}}{L}$

$M=\frac{\sqrt{2} \mu_{0} R^{2}}{L}$

Solution

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