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A square conducting loop of side \( L \) is situated in gravity-free space. A small conducting circular loop of radius \( r(r \ll L) \) 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
(1) \( \frac{2 \sqrt{2} \mu_{0} I}{L} r^{2} \)
(2) \( \frac{\sqrt{2} \mu_{0} I_{0}}{L} r^{2} \)
(3) 0
(4) none of these
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