Fundamentals of Physics, Volume 1, Chapter 1-20
Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 32, Problem 52P
To determine

To find:

The depth at which iron ceases to be ferromagnetic.

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Measurements in mines and boreholes indicate that Earth’s interior temperature increases with depth at the average rate of 30 C°/km. Assuming a surface temperature of 10°C, at what depth does iron cease to be ferromagnetic? (The Curie temperature of iron varies very little with pressure.)
Suppose that the magnetic dipole moment of Earth is 6.2 × 1025 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 13 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.)
Suppose that the magnetic dipole moment of Earth is 7.9 x 1025 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 10° m. Assume complete alignment of the dipoles. The density of Earth's inner core is 14 g/cm?. The magnetic dipole moment of an iron atom is 2.1x 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

Chapter 32 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

Ch. 32 - Figure 32-25 represents three rectangular samples...Ch. 32 - Prob. 12QCh. 32 - Prob. 1PCh. 32 - Prob. 2PCh. 32 - Prob. 3PCh. 32 - Prob. 4PCh. 32 - Prob. 5PCh. 32 - Prob. 6PCh. 32 - Prob. 7PCh. 32 - GO Nonuniform electric flux. Figure 32-30 shows a...Ch. 32 - Prob. 9PCh. 32 - Prob. 10PCh. 32 - Prob. 11PCh. 32 - Prob. 12PCh. 32 - Prob. 13PCh. 32 - Prob. 14PCh. 32 - Prob. 15PCh. 32 - Prob. 16PCh. 32 - Prob. 17PCh. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - Prob. 20PCh. 32 - Prob. 21PCh. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - The magnitude of the electric field between the...Ch. 32 - Prob. 25PCh. 32 - Prob. 26PCh. 32 - Prob. 27PCh. 32 - GO Figure 32-35a shows the current i that is...Ch. 32 - Prob. 29PCh. 32 - Assume the average value of the vertical component...Ch. 32 - In New Hampshire the average horizontal component...Ch. 32 - Figure 32-37a is a one-axis graph along which two...Ch. 32 - SSM WWWIf an electron in an atom has an orbital...Ch. 32 - Prob. 34PCh. 32 - What is the measured component of the orbital...Ch. 32 - Prob. 36PCh. 32 - Prob. 37PCh. 32 - Assume that an electron of mass m and charge...Ch. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - Prob. 41PCh. 32 - Prob. 42PCh. 32 - Prob. 43PCh. 32 - Figure 32-39 gives the magnetization curve for a...Ch. 32 - Prob. 45PCh. 32 - You place a magnetic compass on a horizontal...Ch. 32 - SSM ILW WWW The magnitude of the magnetic dipole...Ch. 32 - The magnitude of the dipole moment associated with...Ch. 32 - SSMThe exchange coupling mentioned in Module 32-8...Ch. 32 - Prob. 50PCh. 32 - Prob. 51PCh. 32 - Prob. 52PCh. 32 - Prob. 53PCh. 32 - Using the approximations given in Problem 61, find...Ch. 32 - Earth has a magnetic dipole moment of 8.0 1022...Ch. 32 - A charge q is distributed uniformly around a thin...Ch. 32 - A magnetic compass has its needle, of mass 0.050...Ch. 32 - Prob. 58PCh. 32 - Prob. 59PCh. 32 - Prob. 60PCh. 32 - SSMThe magnetic field of Earth can be approximated...Ch. 32 - Prob. 62PCh. 32 - Prob. 63PCh. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - Prob. 65PCh. 32 - Prob. 66PCh. 32 - In Fig. 32-42, a parallel-plate capacitor is being...Ch. 32 - What is the measured component of the orbital...Ch. 32 - Prob. 69PCh. 32 - Prob. 70PCh. 32 - Prob. 71PCh. 32 - Prob. 72PCh. 32 - SSM If an electron in an atom has orbital angular...Ch. 32 - Prob. 74PCh. 32 - Prob. 75PCh. 32 - What are the measured components of the orbital...
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