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A small square loop of wire of side / is placed inside a large square loop of wire of side L (L > l). The loop are coplanar and their center 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 loopB=4×μ04πiL2sin450+cos450=μ04π82iLFlux linked with smaller loopφ=Bl2=μ04π82il2L∴φ=Mi⇒M=φi=μ04π⋅82l2L⇒M∝l2L

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