Question

A small square loop of wire of side $l$ is placed inside a large square loop of wire $L ( L >>l)$ Both loops are coplanar and their centers coincide at point $O$ as shown in figure The mutual inductance of the system is :

• 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. $\frac{\mu_0 L^2}{2 \sqrt{2} \pi \ell}$

Answer 1

Answer: (C)

$\frac{2 \sqrt{2} \mu_0 \ell^2}{\pi L }$

Answer 2

The correct option is (C)