Suppose that the magnetic dipole moment of Earth is 9.1 × 1022 J/T. (a) If the...

Suppose that the magnetic dipole moment of Earth is 9.1 × 10²² J/T. (a) If the origin of this magnetism were a magnetized iron sphere at the center of Earth, what would be its radius? (b) What fraction of the volume of Earth would such a sphere occupy? The radius of Earth is 6.37 × 10⁶ m. Assume complete alignment of the dipoles. The density of Earth's inner core is 11 g/cm³. The magnetic dipole moment of an iron atom is 2.1 × 10^-23 J/T. Iron has a molar mass of 55.9 g/mol. (Note: Earth's inner core is in fact thought to be in both liquid and solid forms and partly iron, but a permanent magnet as the source of Earth's magnetism has been ruled out by several considerations. For one, the temperature is certainly above the Curie point.)

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genius_generous answered 2 years ago

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