By Yukikazu Iwasa
Designed for graduate scholars in mechanical engineering, this textbook discusses the elemental suggestions of superconducting magnet know-how. very important subject matters lined contain box distribution, magnets, strength, thermal balance, dissipation, and safety. To support the scholars excel within the box, every one bankruptcy includes instructional difficulties, observed by means of ideas, using solenoidal magnets as examples.
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Extra resources for Case Studies in Superconducting Magnets: Design and Operational Issues (Selected Topics in Superconductivity)
E = ∞ , obviously do not dissipate power, your < P > vs ρ e plot should start with < P > = 0 and < P > → 0 as ρ e → ∞. < P > given by Eq. 57 indeed indicates this behavior. i) The behavior of the < P > vs ρ e plot described above suggests the existence of a critical resistivity, ρec , at which < P > is maximum. 5-mm wall thickness (d), and ρ e = 2 × 10 –10 Ω m. This resistivity corresponds roughly to copper’s resistivity at liquid helium temperatures. 6—Part 2 e) In the sinusoidal case, the time-averaged total power (per unit length), < p >, is given by , where is the complex current density (Eq.
9 shows a plot of < P > vS ρe . 15) Solving Eq. 59 is important in induction heating. A uniform, sinusoidally timevarying magnetic field is applied to a conducting sample to heat it by eddy currents. For a given material resistivity and sample dimensions, the critical frequency, derivable from Eq. 59 and identical to f sk , is selected to maximize the heating. 53) Another way of interpreting ƒs k is, as discussed earlier, that the induced magnetic is negligible compared with for ƒ << ƒ sk . field Fig.
As discussed in the next problem where a superconducting cylinder is considered, a discontinuity in the θ component of the fields at r = R requires a surface current (confined within a thin layer). Because this current, once set up, must flow persistently, it implies that the sphere’s electrical conductivity, like the superconductor’s, must be infinite. As discussed in Chapter 1, a perfectly diamagnetic material must at the same time be a perfect conductor; that is, such a material is automatically a superconductor.
Case Studies in Superconducting Magnets: Design and Operational Issues (Selected Topics in Superconductivity) by Yukikazu Iwasa