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Q.

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

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a

R1/R2

b

R2/R1

c

R12/R2

d

R22/R1

answer is D.

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Detailed Solution

Mutual inductance between two coil in the same plane with their centers coinciding is given by M=μ04π2π2R22N1N2R1henry.
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Two conducting circular loops of radii  R1 and  R2 are placed in the same plane with their centers coinciding. If R1>>R2, the mutual inductance M between them will be directly proportional to