1.

A small square loop of wire of side `l` is placed inside a large square loop of wire of side `L (L gt gt l)`. The loops are coplanar and their centre coincide. What is the mutual inductance of the system ?A. `l//L`B. `l^(2)//L`C. `L//l`D. `L^(2)//l`

Answer» Correct Answer - B
Magnetic field produced by a current`i` in a large square loop at its centre
`B prop (i)/(L)" "` say `B = K(i)/(L)`
`:.` Magnetic flux linked with smaller loop,
`phi = B.S " " phi = (K(i)/(L))(l^(2))`
Therefore, the mutual inductance `M = (phi)/(i) = K(l^(2))/(L)` or
`M prop (l^(2))/(L)`


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