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23 Nov 2019

chapter 32 problem 53

Suppose that the magnetic dipole moment of Earth is 7.0x1020 J/T. (a) If theorigin of thismagnetism were a magnetized iron sphere at thecenter of Earth, whatwould be itsradius? (b) What fraction of thevolumeof Earth would such a sphere occupy? The radius of Earth is6.37 x106 m. Assume complete alignment of thedipoles.The density of Earth's inner core is 11 g/cm3.Themagnetic dipole moment of an iron atom is 2.1 x10-23J/T. Iron has a molar mass of 55.9 g/mol.(Note: Earth's inner coreis in fact thought to be in both liquidand solid forms and partlyiron, but a permanent magnet as thesource of Earth's magnetism hasbeen ruled out by severalconsiderations. For one, the temperatureis certainly above theCurie point.)

(a) Number Unitsm

(b)


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