Questions
Two single-turn circular loops of wire have radii R and r, with R >> r. The loops lie in the same plane and are concentric. The mutual inductance of the pair is (approximately)
detailed solution
Correct option is C
A current i in the large loop of radius .R produces a magnetic field of magnitude B=μ0i2R at its center. Since the radius 2R of the small loop r <.< R, we may treat the flux through the small loop as being approximately ΦB=BAcos0∘=μ0i2RA=μ0πr2i2R. The mutual inductance of the loops is thenM=ΦBi=μ0πr22RTalk to our academic expert!
Similar Questions
Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centers coinciding. If , the mutual inductance M between them will be directly proportional to
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