The exchange coupling as being responsible for ferromagnetism is not the mutual magnetic interaction between two elementary magnetic dipoles. To show this, calculate (a) the magnitude of the magnetic field a distance of 12 nm away, along a dipole axis, from an atom with magnetic dipole moment 2.2 x 1023 J/T, and (b) the minimum energy required to turn a second identical dipole end for end in this field. (a) Number Units (b) Number i Units

The exchange coupling as being responsible for ferromagnetism is not the mutual magnetic interaction between two elementary magnetic dipoles. To show this, calculate (a) the magnitude of the magnetic field a distance of 12 nm away, along a dipole axis, from an atom with magnetic dipole moment 2.2 x 1023 J/T, and (b) the minimum energy required to turn a second identical dipole end for end in this field. (a) Number Units (b) Number i Units

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter8: Atomic Structure

Section: Chapter Questions

Problem 49P: Show that U=B . (Hint: An infinitesimal amount of work is done to align the magnetic moment with the...

See similar textbooks

Similar questions

The exchange coupling as being responsible for ferromagnetism is not the mutual magnetic interaction between two elementary magnetic dipoles. To show this, calculate (a) the magnitude of the magnetic field a distance of 11 nm away, along a dipole axis, from an atom with magnetic dipole moment 1.9 × 10-23 J/T, and (b) the minimum energy required to turn a second identical dipole end for end in this field.
The exchange coupling mentioned in Module 32-8 as being responsible for ferromagnetism is not the mutual magnetic interaction between two elementary magnetic dipoles. To show this, calculate (a) the magnitude of the magnetic field a distance of 10 nm away, along the dipole axis, from an atom with magnetic dipole moment 1.5 * 10-23 J/T (cobalt), and (b) the minimum energy required to turn a second identical dipole end for end in this field. (c) By comparing the latter with the mean translational kinetic energy of 0.040 eV, what can you conclude?
The force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of 100 m/s, how strong must the field gradient dBz/dz be in order to deflect the beam 1 mm?
A circular loop of wire with a radius of 5 cm lies in the xy plane and carries a current of 2 A, counterclockwise when viewed from a point on the positive z axis. What is the direction and the magnetic moment dipole of the loop?
Compute the resonance frequency of free protons in a magnetic field of (a) 0.5 × 10-4T (the approximate strength of Earth's field), (b) 0.25 T, and (c) 0.5 T.
A sample of paramagnetic salt contains 2.0 × 1024 atomic dipoles each of dipole moment 1.5×10-23 J T-1. The sample is placed under a homogeneous magnetic field of 0.64 T, and cooled to a temperature of 4.2 K. The degree of magnetic saturation achieved is equal to 15%. What is the total dipole moment of the sample for a magnetic field of 0.98 T and a temperature of 2.8 K? (Assume Curie’s law)
Aluminum has a magnetic susceptibility x = 1.7E-5 at T = 300K. What wil be the magnetization of a small sample of aluminum placed in a 1.5T magnetic field at T = 150K? What formulas do you use for this? Thanks!
A 0.50 T magnetic field is applied to a paramagnetic gas whose atoms have an intrinsic magnetic dipole moment of 1.0* 10^23 J/T. At what temperature will the mean kinetic energy of translation of the atoms equal the energy required to reverse such a dipole end for end in this magnetic field?
On what factors does the orbital magnetic dipole moment of an electron depend?
A positively charged particle located at the origin of anxyz coordinate system spins about the z axis, and the spin iscounterclockwise when viewed looking down from the positivez axis toward the origin. Is the line integral of the magneticfield positive, negative, or zero for an Ampèrian path going(a) clockwise around the origin in the xy plane when viewedlooking down from the positive z axis, (b) clockwise around theorigin in the yz plane when viewed looking from the positivex axis, and (c) clockwise around the origin in the xz plane whenviewed looking from the positive y axis? ⦁
Consider a charge q at rest at the origin in a constant magnetic field B=B0ˆz. If themagnetic field suddenly turns off, then that change generates an E field. Which way does theparticle move?
Tin (Sn) has a superconductive critical temperature Tc = 3.7 K and critical magnetic field at T = 0 K equal to Bc = 31 mT. What is the maximum magnetic field Sn can sustain at the critical temperature without losing its superconducting state? What is the minimum radius required for an infinite linear wire of Sn if it is to carry a current of 200 A at T = 3.0 K whilst still in its superconducting state?