Chapter 20: Problem 27
Briefly explain the manner in which information is stored magnetically.
Chapter 20: Problem 27
Briefly explain the manner in which information is stored magnetically.
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Get started for freeThe chemical formula for copper ferrite may be written as \(\left(\mathrm{CuFe}_{2} \mathrm{O}_{4}\right)_{8}\) because there are eight formula units per unit cell. If this material has a saturation magnetization of \(1.35 \times 10^{5} \mathrm{~A} / \mathrm{m}\) and a density of \(5.40 \mathrm{~g} / \mathrm{cm}^{3}\), estimate the number of Bohr magnetons associated with each \(\mathrm{Cu}^{2+}\) ion.
Cite the differences between type I and type II superconductors.
It is possible to express the magnetic susceptibility \(\chi_{m}\) in several different units. For the discussion in this chapter, \(\chi_{m}\) is used to designate the volume susceptibility in SI units-that is, the quantity that gives the magnetization per unit volume \(\left(\mathrm{m}^{3}\right)\) of material when multiplied by \(H\). The mass susceptibility \(\chi_{m}(\mathrm{~kg})\) yields the magnetic moment (or magnetization) per kilogram of material when multiplied by \(H\); similarly, the atomic susceptibility \(\chi_{m}\) (a) gives the magnetization per kilogram-mole. The last two quantities are related to \(\chi_{m}\) through the following relationships: $$ \begin{aligned} &\chi_{m}=\chi_{m}(\mathrm{~kg}) \times \text { mass density }\left(\text { in } \mathrm{kg} / \mathrm{m}^{3}\right) \\ &\chi_{m}(a)=\chi_{m}(\mathrm{~kg}) \times \text { atomic weight }(\text { in } \mathrm{kg}) \end{aligned} $$ When using the cgs-emu system, comparable parameters exist that may be designated by \(\chi_{m}^{\prime}\), \(\chi_{m}^{\prime}(\mathrm{g})\), and \(\chi_{m}^{\prime}(a) ;\) the \(\chi_{m}\) and \(\chi_{m}^{\prime}\) are related in accordance with Table 20.1. From Table 20.2, \(\chi_{m}\) for copper is \(-0.96 \times 10^{-5}\); convert this value into the other five susceptibilities.
The formula for samarium iron garnet \(\left(\mathrm{Sm}_{3} \mathrm{Fe}_{5} \mathrm{O}_{12}\right)\) may be written in the form \(\mathrm{Sm}_{3}^{c} \mathrm{Fe}_{2}^{a} \mathrm{Fe}_{3}^{d} \mathrm{O}_{12}\), where the superscripts \(a, c\), and \(d\) represent different sites on which the \(\mathrm{Sm}^{3+}\) and \(\mathrm{Fe}^{3+}\) ions are located. The spin magnetic moments for the \(\mathrm{Sm}^{3+}\) and \(\mathrm{Fe}^{3+}\) ions positioned in the \(a\) and \(c\) sites are oriented parallel to one another and antiparallel to the \(\mathrm{Fe}^{3+}\) ions in \(d\) sites. Compute the number of Bohr magnetons associated with each \(\mathrm{Sm}^{3+}\) ion, given the following information: (1) each unit cell consists of eight formula \(\left(\mathrm{Sm}_{3} \mathrm{Fe}_{5} \mathrm{O}_{12}\right)\) units; (2) the unit cell is cubic with an edge length of \(1.2529 \mathrm{~nm} ;\) (3) the saturation magnetization for this material is \(1.35 \times 10^{5} \mathrm{~A} / \mathrm{m} ;\) and (4) there are 5 Bohr magnetons associated with each \(\mathrm{Fe}^{3+}\) ion.
An iron bar magnet having a coercivity of \(7000 \mathrm{~A} / \mathrm{m}\) is to be demagnetized. If the bar is inserted within a cylindrical wire coil \(0.25 \mathrm{~m}\) long and having 150 turns, what electric current is required to generate the necessary magnetic field?
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