ch32-p053 - 53. (a) If the magnetization of the sphere is...

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N R m = 4 3 3 π ρ . We substitute this into µ total = N to obtain 13 3 total total 3 4 . 34 m R R m ρµ ⎛⎞ π =⇒ = ⎜⎟ π ⎝⎠ The mass of an iron atom is m == × −− 56 56 166 10 9 30 10 27 26 uu k g u k g . bg c h .. Therefore, R = ×× L N M M O Q P P 3 9 30 10 8 0 10 42 1 1 0 18 10 26 22 23 5 . . kg J T kg m J T m. 3 ch c h c hc h π14 10 3 (b) The volume of the sphere is VR s × = × 44 182 10 2 53 10 35 3 16 π 3 π 3 mm 3 and the volume of the Earth is V e = × 4 6 37 10 108 10 6 3 21 π 3 , 3 so the fraction of the Earth’s volume that is occupied by the sphere is 253 10 108 10 23 10 16 21 5 . . × × m m 3 3 53. (a) If the magnetization of the sphere is saturated, the total dipole moment is
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