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The magnitude of the magnetic dipole moment of Earth is $8.0 \times 10^{22} \mathrm{J} / \mathrm{T}$ . (a) If the origin of this magne- tism were a magnetized iron...

Question

The magnitude of the magnetic dipole moment of Earth is $8.0 \times 10^{22} \mathrm{J} / \mathrm{T}$ . (a) If the origin of this magne- tism 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? Assume complete alignment of the dipoles. The density of Earth's inner core is 14 $\mathrm{g} / \mathrm{cm}^{3} .$ The magnetic dipole moment of an iron atom is $2.1 \times 10^{-23} \mathrm{J} / \mathr

The magnitude of the magnetic dipole moment of Earth is $8.0 \times 10^{22} \mathrm{J} / \mathrm{T}$ . (a) If the origin of this magne- tism 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? Assume complete alignment of the dipoles. The density of Earth's inner core is 14 $\mathrm{g} / \mathrm{cm}^{3} .$ The magnetic dipole moment of an iron atom is $2.1 \times 10^{-23} \mathrm{J} / \mathrm{T}$ . (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.)



Answers

The magnitude of the magnetic dipole moment of Earth is $8.0 \times 10^{22} \mathrm{J} / \mathrm{T}$ . (a) If the origin of this magne-
tism 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? Assume complete alignment of the
dipoles. The density of Earth's inner core is 14 $\mathrm{g} / \mathrm{cm}^{3} .$ The magnetic
dipole moment of an iron atom is $2.1 \times 10^{-23} \mathrm{J} / \mathrm{T}$ . (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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