GR9277 #77



Alternate Solutions 
Ning Bao 20080130 07:26:00  a common sense answer: presumably the more magnetically "efficient" (e.g. gets the same result for less material, or mass) thing would have a higher intrinsic magnetic moment. Bang for the buck theory wins again.  

Comments 
alemsalem 20100926 03:52:11  to see how bigger mass results in a smaller magnetic moment (classically) think of it this way:
for a given (spin) angular momentum, the one with the higher mass will have a smaller angular frequency therefore smaller current which means less magnetic moment.
this isn't a complete explanation, but it's good to have a feeling for where the mass came from.   Ning Bao 20080130 07:26:00  a common sense answer: presumably the more magnetically "efficient" (e.g. gets the same result for less material, or mass) thing would have a higher intrinsic magnetic moment. Bang for the buck theory wins again.
his dudeness 20100905 07:02:29 
I think this kind of reasoning could potentially get you into trouble. For example, I could say "magnetic moment, in classsical terms, is generally current times area. since a nucleus has a much larger "area" than an electron, it should have a larger magnetic moment!" which is clearly wrong.
A better way to think about this problem is to realize that particle magnetic moments are generally proportional to angular momentum, with the constant of proportionality being the "gyromagnetic ratio" (charge over mass). Since nuclei and electrons have the same charge and spin angular momentum, the only difference will be in the masses, so an electron's magnetic moment will be ~2000 times bigger.

  rmyers 20061201 13:05:25  Presumably the nucleus would also have a larger charge so the top term would increase as well. However the charge would only end up being a hundred times larger at most, while the mass is many orders of magnitude larger than an electron.
student2008 20081016 08:15:53 
You're right! Also, gfactors of electron, proton and neutron differ (,,). But this is not relevant for the ratio, for the same reason.

NoPhysicist3 20170323 13:24:06 
best remark!

 

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