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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACSelf and mutual inductorMedium2 minPYQ_2021

PhysicsMediumsingle choice

A small square loop of side $a$ and one turn is placed inside a larger square loop of side $b$ and one turn $(b ≫ a) .$ 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 :

Options:

Answer:

Solution:

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$B = 4 \times \frac{μ_{0} i}{4 π (\frac{b}{2})} \sqrt{2}$ $\Rightarrow B = \frac{2 \sqrt{2} μ_{0} i}{π b}$
$\Rightarrow ϕ = M I$ $\Rightarrow B A = M I$
$\Rightarrow \frac{2 \sqrt{2} μ_{0} i}{π b} \cdot a^{2} = M i$ $\Rightarrow M = \frac{2 \sqrt{2} μ_{0} a^{2}}{π b} = \frac{μ_{0}}{4 π} \frac{8 \sqrt{2} a^{2}}{b}$

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Self and mutual inductor

⏱ 2mℹ️ Source: PYQ_2021

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