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 thei 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
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 thei 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
- [JEE MAIN 2021]
- A
$\frac{\mu_{0}}{4 \pi} 8 \sqrt{2} \frac{{a}^{2}}{{b}}$
- B
$\frac{\mu_{0}}{4 \pi} \frac{8 \sqrt{2}}{{a}}$
- C
$\frac{\mu_{0}}{4 \pi} 8 \sqrt{2} \frac{{b}^{2}}{{a}}$
- D
$\frac{\mu_{0}}{4 \pi} \frac{8 \sqrt{2}}{{b}}$
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