A square conducting loop of side `L` is situated in gravity free space. A small conducting circular loop of redius `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

Options

A. `(2sqrt(2)mu_(0)I)/(L)r^(2)`
B. `(sqrt(2)mu_(0)I_(0))/(L)r^(2)`
C. `0`
D. None of these

Answer

C

Explanation

The magnetic field produced by the square loop is parallel to the plane of the circular loop. Hence the mutual inductance is zero.