# ps12soln - 1 Physics 316 Solution for homework 12 Spring...

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Unformatted text preview: 1 Physics 316 Solution for homework 12 Spring 2005 Cornell University I. EXERCISE 1 A. The atomic weight of iron is m = 55 . 85 g/mol, and the density of solid iron is = 7 . 8 g/cm 3 . When a strong magnetic field is applied to a sample of iron, the magnetization (or magnetic moment density) reaches a maximum value of M = 1 . 83 J/T/cm 3 . Assuming that the magnetic moments of all the atoms are parallel, find the magnetic moment of an iron atom. The magnetization of an iron crystal is M = 1 . 83 J/T/cm 3 . The density of crystalline iron is = 7 . 8 g/cm 3 , and its atomic weight m = 55 . 85 g/mol, which leads to the number of atoms per unit volume n = m = 0 . 14 mol/cm 3 = 8 . 4 10 22 cm- 3 . We first assume that the magnetic moment of all atoms are parallel. Then, the magnetic moment of one atom is equal to the total magnetic moment divided by the number of atoms: = M n = 2 . 16 10- 23 J/T. B. If the alignment is not complete, is your answer to (a) an underestimate or an overestimate of the true value?...
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## This note was uploaded on 09/28/2008 for the course PHYS 316 taught by Professor Hoffstaetter during the Spring '05 term at Cornell University (Engineering School).

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