A rectangular loop of sides a and b is placed in xy plane. A very long wire is also placed in xy plane such that side of length a of the loop is parallel to the wire. The distance between the wire and the nearest edge of the loop is d. The mutual inductance of this system is proportional to

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current in wire

1/d

answer is A.

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Detailed Solution

The flux in rectangular loop due to current i in wire is

Mutual inductance is $M = \frac{ϕ}{i} = \frac{μ_{0} a}{2 π} \ln \frac{b + d}{d}$

$∴ Mutual inductance is proportional to a .$

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