Applied Superconductivity: Volume II by Vernon L. Newhouse
By Vernon L. Newhouse
Utilized Superconductivity, quantity II, is a part of a two-volume sequence on utilized superconductivity. the 1st quantity handled digital functions and radiation detection, and features a bankruptcy on liquid helium refrigeration. the current quantity discusses magnets, electromechanical functions, accelerators, and microwave and rf units.
The booklet opens with a bankruptcy on high-field superconducting magnets, masking purposes and magnet layout. next chapters talk about superconductive equipment comparable to superconductive bearings and vehicles; rf superconducting units; and destiny clients in utilized superconductivity.
Each bankruptcy within the volumes could be learn independently, and such a lot suppose little or no or no history within the physics of superconductivity. the subjects handled don't require using complex quantum mechanics; therefore the books may be obtainable to scholars or learn employees in any department of engineering or physics. they're meant to serve either as a resource of reference fabric to present ideas and as a advisor to destiny learn.
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MONTGOMERY +1 FIG. 16. Vector potential of line cur rent I(p, ψ) at point p(r, Θ). the above potential is not realizable in practice. Because of these and other reasons, the actual magnet always has components belonging to higher harmonics—an undesirable consequence. One of the central design problems in the construction of these multipole magnets, therefore, is to choose a proper winding scheme to eliminate as many of the higher harmonics as possible. Although idealized, two such winding schemes for the dipole and quadrupole are discussed, and solutions are presented.
427 HIGH-FIELD SUPERCONDUCTING MAGNETS FIG. 22 FIG. 23 FIG. 22. The geometry-dependent factor eD(ci, bi/bB) which gives the energy of a constant-winding-thickness dipole of the type shown in Fig. 17 and as in Eq. (79). The factor OD (ci, bi/bB) is given for lines of constant bi/bB plotted versus c\. FIG. 23. The geometry-dependent factor eQ(ci, bi/bB) which gives the energy of a constant-winding-thickness quadrupole of the type shown in Fig. 21 and as in Eq. (81). The factor eQ(ci, bi/bB) is given for lines of constant bi/bB plotted versus d.
The magnetic energy, therefore, is spatial integral of the energy density μΗ2/2. Since H is propor tional to / with its proportionality constant, depending only on geometry, we see that the inductance of a magnet is a purely geometric and, through μ, medium-dependent factor : L = μ/Ρ / ^ all f Wdv (23) 6. HIGH-FIELD SUPERCONDUCTING MAGNETS 411 Here we present an inductance calculation for simple solenoidal magnets. Since we need not estimate the magnetic energy accurately (perhaps to within 20% would be adequate), only very simple approaches are given (Montgomery, 1969).