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NEET 2021 · Mutual Inductance

Mutual Inductance question from NEET 2021

Q51NEET 2021Easy

Mutual Inductance

Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. If R1 >> R2, the mutual inductance M between them will be directly proportional to:

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Answer: (a)

Field of loop $R_1$ at centre: $B = \dfrac{\mu_0 I}{2R_1}$ , uniform over loop $R_2$ since $R_1 \gg R_2$
$\Phi = B\pi R_2^2 \Rightarrow M = \dfrac{\mu_0\pi R_2^2}{2R_1}$
So $M \propto \dfrac{R_2^2}{R_1}$ ; the answer is (a).

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