A small circular loop with radius b≪a is to be placed at the origin wi

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A small circular loop with radius b≪a is to be placed at the origin with its plane lying along one of the three principal planes (i. e., xy, xz, yz planes). Which one of the three planes would maximize the mutual inductance between the wire and the small circular loop? Find the value of the mutual inductance.

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[15 pts.] b) A small circular loop with radius

b ≪ a

is to be placed at the origin with its plane lying along one of the three principal planes (i.e.,

x y, x z, y z

planes). Which one of the three planes would maximize the mutual inductance between the wire and the small circular loop? Find the value of the mutual inductance.