Please type the answer instead of hand writting Suppose that the magnetic dipole moment of Earth is 9.0 x 1024 J/T. (a) If the origin of this magnetism were a magnetized iron sphereat the center of Earth, what would be its radius? (b) What fraction of the volume of Earth would such a sphere occupy? The radius ofEarth is 6.37 × 10° m. Assume complete alignment of the dipoles. The density of Earth's inner core is 10 g/cm³. The magnetic dipolemoment 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 inboth liquid and solid forms and partly iron, but a permanent magnet as the source of Earth's magnetism has been ruled out byseveral considerations. For one, the temperature is certainly above the Curie point.)(a) NumberiUnits(b) NumberiUnits

Given,Magnetic dipole moment of the earth, μtot = 9×1024 J/TRadius of the earth, RE = 6.37×106…

Suppose that the magnetic dipole moment of Earth is 9.0 x 1024 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 sucha 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 10 g/cm°. The magnetic dipole moment of an iron atom is 2.1 x 1023 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.)

Suppose that the magnetic dipole moment of Earth is 9.0 x 1024 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 sucha 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 10 g/cm°. The magnetic dipole moment of an iron atom is 2.1 x 1023 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.)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter31: Gauss’s Law For Magnetism And Ampère’s Law

Section31.2: Gauss’s Law For Magnetism

Problem 31.2CE

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Please type the answer instead of hand writting

Suppose that the magnetic dipole moment of Earth is 9.0 x 1024 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 × 10° m. Assume complete alignment of the dipoles. The density of Earth's inner core is 10 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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