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Q.

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

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a

l/L

b

l2/L

c

L/l

d

L2/l

answer is B.

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Detailed Solution

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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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