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There is a conducting ring of radius \( \mathrm{R} \). Another ring
\( \mathrm{P} \) having current \( \mathrm{i} \) and radius \( r(rR) \) is kept on the axis of bigger ring such that its center lies on the W axis of bigger ring at a distance \( x \) from the center of bigger ring and its plane is perpendicular to that axis. The mutual inductance of the bigger ring due to the smaller ring is
(1) \( \frac{\mu_{0} \pi R^{2} r^{2}}{\left(R^{2}+x^{2}\right)^{3 / 2}} \)
(2) \( \frac{\mu_{0} \pi R^{2} r^{2}}{4\left(R^{2}+x^{2}\right)^{3 / 2}} \)
(3) \( \frac{\mu_{0} \pi R^{2} r^{2}}{16\left(R^{2}+x^{2}\right)^{3 / 2}} \)
(4) \( \frac{\mu_{0} \pi R^{2} r^{2}}{2\left(R^{2}+x^{2}\right)^{3 / 2}} \)
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