A circular coil of \( \mathrm{N} \) turns and radius \( \mathrm{R} ...

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A circular coil of \( \mathrm{N} \) turns and radius \( \mathrm{R} \) carries a current \( \mathrm{I} \). It is unwound and rewound to make another coil of radius \( \mathrm{R} / 2 \), current I remaining the same. Calculate the ratio of the magnetic moments of the new coil and original coil.
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