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A circuit consists of a circular loop of radius \( \mathrm{R} \) kept in the plane of paper and an infinitely long current
\( \mathrm{P} \) carrying wire kept perpendicular to the plane of
\( \mathrm{W} \) paper and passing through the centre of loop. The mutual inductance of wire and loop will be
(1) \( \frac{\mu_{0} \pi R}{2} \)
(2) 0
(3) \( \mu_{0} \pi R^{2} \)
(4) \( \frac{\mu_{0} R^{2}}{2} \)
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