ElectroMagnetic InductionHard
Question
A small square loop of wire of side l is placed inside a large square loop of wire of side L (L >> l). The loop are coplanar and their centres coincide. The mutual inductance of the system is proportional to
Options
A.l/L
B.l2/L
C.L/l
D.L2/l
Solution
Magnetic field produced by a current i in a large square loop at its centre
and
∴ Magnetic flux linked with smaller loop,
φ = B. S
Therefore, the mutual inductance
or 
and
∴ Magnetic flux linked with smaller loop,
φ = B. S
Therefore, the mutual inductance
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