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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(Lgtgtl)`. The loops are co-planer and their centres coincide. The mutual inductance of the system is proportional to

A

`l//L`

B

`l^(2)//L`

C

`L//l`

D

`L^(2)//l`

Text Solution

Verified by Experts

The correct Answer is:
B
Magnetic field due to outer coil `Bprop1//L`
Flux through inner coil `phipropBA`
`phiprop(1)/(L)l^(2)propM`
`Mprop(l^(2)//L)`
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