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A small square loop of wire of side l is placed inside a large square loop of wire of side L (L >> l) The loops are coplanar and their centre coincide. The mutual inductance of the system is proportional to

a
l/L
b
l2/L
c
L/l
d
L2/l

detailed solution

Correct option is B

Magnetic field produced due to large loop,B=μ04π82iLFlux linked with smaller loop,ϕ=B(l)2=μ04π82il2L∴ϕ=Mi⇒M=ϕi=μ04π⋅82l2L⇒M∝l2L

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