Two conducting circular loops of radii R 1 and R 2 are placed in the same plane with their centres coinciding. If R 1 R 2 , the mutual inductance M between them will be directly proportional to

Question

Two conducting circular loops of radii R 1 and R 2 are placed in the same plane with their centres coinciding. If R 1 > R 2 , the mutual inductance M between them will be directly proportional to, R 1 R 2, R 2 R 1, R 1 2 R 2, R 2 2 R 1

MARKS App · Accepted Answer

Let the magnetic field is B at the centre of the primary coil. Considering it to be uniform, the magnetic flux passing through the secondary coil is ϕ = B A = μ 0 i 1 2 R 1 π R 2 2 Now, M = ϕ 2 i 1 = μ 0 π R 2 2 2 R 1 ∴ M ∝ R 2 2 R 1

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