Suppose that the magnetic dipole moment of Earth is 6.5 x 1026 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 12 g/cm³. The magnetic dipole moment of an iron atom is 2.1 x 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.) (a) Number i Units (b) Number i Units
Suppose that the magnetic dipole moment of Earth is 6.5 x 1026 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 12 g/cm³. The magnetic dipole moment of an iron atom is 2.1 x 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.) (a) Number i Units (b) Number i Units
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Transcribed Image Text:Suppose that the magnetic dipole moment of Earth is 6.5 x 1026 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 x 106 m. Assume complete alignment of the dipoles. The density of Earth's inner core is 12 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.)
(a) Number
i
Units
(b) Number
i
Units
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