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A coil of N turns and radius R carries a current I. It is unwound and rewound to make a square coil of side a having same number of turns (N). keeping the current I same, the ratio of the magnetic moments of the circular coil and the square coil is

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$π \frac{R^{2}}{a^{2}}$

$π \frac{a^{2}}{R^{2}}$

$\frac{R^{2}}{a^{2}}$

None of the above

answer is A.

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Detailed Solution

$\frac{M_{square}}{M_{circular}} = \frac{{NIA}_{square}}{{NIA}_{circular}} = {πR}^{2} / a^{2}$

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