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Q.

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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a

b

b

a

c

current in wire

d

1/d

answer is A.

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Detailed Solution

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

Question Image

Mutual inductance is M=ϕi=μ0a2πln⁡b+dd

∴  Mutual inductance is proportional to a . 

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