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A circular coil of N turns and radius R carries a current I. It is unwound and rewound to makeanother 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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Answer» Solution :We have : `N_(1).2piR = N_(2).2pi(R//2)` `therefore N_(2) = 2N_(1)` Magnetic MOMENT of a coil, M = NAI For the coil of radius .R. `M_(1) = N_(1)IA_(1) = N_(1)IPIR^(2)` For the coil of radius R/2 `M_(2) = N_(2)IA_(2) = 2N_(1)IpiR^(2)//4 = N_(1)I.piR^(2)//2` `rArr M_(2) : M_(1) = 1:2` |
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