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A circular coil of N turns and radius R carries a current I. It is unwound and rewound to make another coil of radius R/2,

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

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As length of wire remains the same

Magnetic moment of a coil, m = NAI
For the coil of radius R,magnetic moment

Now, m2/m1 = 1:2

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