A small square loop of wire of side $l$ is placed inside a large square loop of wire $L(L \gg l)$. Both loops are coplanar and their centres coincide at point $O$ as shown in figure. The mutual inductance of the system is.
A small square loop of wire of side $l$ is placed inside a large square loop of wire $L(L \gg l)$. Both loops are coplanar and their centres coincide at point $O$ as shown in figure. The mutual inductance of the system is.
- [JEE MAIN 2022]
- A
$\frac{2 \sqrt{2} \mu_{0} L ^{2}}{\pi \ell}$
- B
$\frac{\mu_{0} \ell^{2}}{2 \sqrt{2 \pi L}}$
- C
$\frac{2 \sqrt{2} \mu_{0} \ell^{2}}{\pi L }$
- D
$\frac{\mu_{0} L ^{2}}{2 \sqrt{2} \pi \ell}$
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- [JEE MAIN 2024]