A small square loop of side 'a' is... | EMF

JEE MAIN 2021

31.08.21_S2

Question

A small square loop of side ' $a$ ' and one turn is placed inside a larger square loop of side $b$ and one turn ( $b \gg a$ ). The two loops are coplanar with their centres coinciding. If a current $I$ is passed in the square loop of side ' $b$ ', then the coefficient of mutual inductance between the two loops is :

Select the correct option:

$\frac{\mu_0}{4 \pi} 8 \sqrt{2} \frac{a^2}{b}$

$\frac{\mu_0}{4 \pi} \frac{8 \sqrt{2}}{a}$

$\frac{\mu_0}{4 \pi} 8 \sqrt{2} \frac{b^2}{a}$

$\frac{\mu_0}{4 \pi} \frac{8 \sqrt{2}}{\mathrm{~b}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution