Unformatted text preview: Magnetic moments add together just as vectors do. Therefore, we can ask, how many ways are there to have a total magnetic moment M of M = Nm ? Such a state would require all of the magnets to be in the up position, so there is only one way to achieve this state. How many ways are there to have a total magnetic moment of M = ( N 2) m ? Such a state requires one magnet to be in the down position. Since there are N magnets, there are N such ways. Letting C represent the up position and D represent the down, we can use a shorthand notation for representing all of the possible states of the system: ( C + D ) N Using a binomial expansion , and writing in summation notation, we can write: ( C + D ) N = C Ni D i...
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 Fall '10
 DavidJudd
 Physics, Magnetism, Magnetic Field, Position, Magnetic moment, Magnet, total magnetic moment

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