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Magnetism

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Joined: 14 Jan 2008
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22 Jan 2008 14:17:38 IST
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intrsting and conceptual problem plz solve
None

If a solis sphere is rotating  with  angular velocity w,mass m,with mass varying as square of the distance from axis .it is having a uniform charge q,what is the ratio of  magnetic moment to angular momentum ><= q/2m?


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Hot goIITian

Joined: 2 Dec 2007
Posts: 120
22 Jan 2008 17:04:07 IST
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it is ofcourse not equal to q\2m as the mass distribution is not uniform

Hot goIITian

Joined: 2 Dec 2007
Posts: 120
22 Jan 2008 17:06:25 IST
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so we have to find out ang momentum separately by considering a small mass dm n then integrating it wid proper limits....thoda lamba padega
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Blazing goIITian

Joined: 2 Jan 2008
Posts: 758
22 Jan 2008 18:48:31 IST
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magnetic moment is same as in normal case wid uniform mass but angular momentum comes out to be more because more mass is distributed away from axis as it varies wid square of dist ( or one may say that moment of inertia is more in this case) so angular momentum is more in this case.So we can conclude that ratio of magnetic moment to angular momentum will decrease.Therefore it is less than q/2m

~The Sniper



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