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 :
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 :
- [JEE MAIN 2023]
- A
$M =\frac{\sqrt{2} \mu_0 R ^2}{ L }$
- B
$M =\frac{2 \sqrt{2} \mu_0 R }{ L ^2}$
- C
$M =\frac{2 \sqrt{2} \mu_0 R ^2}{ L }$
- D
$M =\frac{\sqrt{2} \mu_0 R }{ L ^2}$
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