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A small coil of radius r is placed at the center of a large coil of radius R, where R >> r. The two coils are coplanar. The mutual inductance between the coils is proportional to

a
r/R
b
r2/R
c
r2/R2
d
r/R2

detailed solution

Correct option is B

Magnetic field at the centre of a large coil E∝μ0I2RMagnetic flux linked with smaller coil =μ0I2R×πr2M=ϕI=μ0πr22R ∴M∝r2R

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