JEE Main 2022 · 25 Jul · Shift 1 · Physics Q43

← JEE Main 2022 · 25 Jul · Shift 1

PhysicsSingle correct+4 / -1Question 43 of 90

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 large square loop of side L with a small concentric square loop of side l inside it, both centred at O.

\dfrac{2\sqrt2\mu_0L^2}{\pi l}

\dfrac{\mu_0l^2}{2\sqrt2\pi L}

\dfrac{2\sqrt2\mu_0l^2}{\pi L}

\dfrac{\mu_0L^2}{2\sqrt2\pi l}

Answer and worked solution

Official answer: C

Field at the centre of the big loop: $\dfrac{2\sqrt2\mu_0I}{\pi L}$ , nearly uniform over the small loop.

Mutual inductance $M=\dfrac{2\sqrt2\mu_0l^2}{\pi L}$ .

(C)

Topics:Mutual inductance Biot-Savart law

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JEE Main 2022 · 25 Jul · Shift 1, Physics question 43