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A square conducting loop of side L is si...

A square conducting loop of side `L` is situated in gravity free space. A small conducting circular loop of radius `r (rlt lt L)` is placed at the center of the square loop, with its plane perpendicular to the plane of the square loop. The mutual inductance of the two coils is

A

`(2sqrt(2)mu_(0)I)/(L)r^(2)`

B

`(2sqrt(2)mu_(0)I_(0))/(L)r^(2)`

C

zero

D

None of these

Text Solution

AI Generated Solution

To find the mutual inductance \( M \) of a square conducting loop and a small circular conducting loop placed at its center, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Setup**: - We have a square loop of side length \( L \) and a small circular loop of radius \( r \) (where \( r < \frac{L}{2} \)) placed at the center of the square loop. - The plane of the circular loop is perpendicular to the plane of the square loop. ...
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