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A small square loop of wire of side l is...

A small square loop of wire of side l is placed inside a large square loop of wire of side `L(gtgtl)`. The loops aer coplanar and their centres coincide. What is the mutual inductance of the system?

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Magnetic field produced by a current `i` in a large square loop at its centre is `B=(mu_(0)i2sqrt2)/(piL)`
Therefore`phi=Mi==(mu_(0)i2sqrt2)/(piL)xxl^(2) rArr M=(2sqrt2mu_(0)l^(2))/(piL)`
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