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Q.

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

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a

R2R1

b

R22R1

c

R1R2

d

R12R2

answer is B.

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Detailed Solution

Let current i flow through the outer coil. Then magnetic field due to this loop at the center= μoi2R1Flux due to this magnetic field on inner coil= μoi2R1(πR22 )Hence M∝R22R1
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