Chapter 20: Problem 31
Briefly describe the Meissner effect.
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Chapter 20: Problem 31
Briefly describe the Meissner effect.
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A ferromagnetic material has a remanence of \(1.0\) tesla and a coercivity of \(15,000 \mathrm{~A} / \mathrm{m}\). Saturation is achieved at a magnetic field strength of \(25,000 \mathrm{~A} / \mathrm{m}\), at which the flux density is \(1.25\) teslas. Using these data, sketch the entire hysteresis curve in the range \(H=-25,000\) to \(+25,000 \mathrm{~A} / \mathrm{m}\). Be sure to scale and label both coordinate axes.
Cite the differences between type I and type II superconductors.
Assume there exists some hypothetical metal that exhibits ferromagnetic behavior and that has (1) a simple cubic crystal structure (Figure 3.3), (2) an atomic radius of \(0.125 \mathrm{~nm}\), and (3) a saturation flux density of \(0.85\) tesla. Determine the number of Bohr magnetons per atom for this material
A coil of wire \(0.25 \mathrm{~m}\) long and having 400 turns carries a current of \(15 \mathrm{~A}\). (a) What is the magnitude of the magnetic field strength \(H ?\) (b) Compute the flux density \(B\) if the coil is in a vacuum. (c) Compute the flux density inside a bar of chromium positioned within the coil. The susceptibility for chromium is given in Table \(20.2\). (d) Compute the magnitude of the magnetization \(M\)
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.
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