## AC Loss and Macroscopic Theory of SuperconductorsThrough the 'magic' of averages it is shown that Maxwell's equations can be used in a simple way to describe filamentary composites as well as pure bulk superconductors. The second edition of AC Loss and Macroscopic Theory of Superconductors, like the first edition, is written for both physicists and engineers. It starts with a rigorous and partially new derivation of Maxwell's equations as they apply to superconductors, and the remainder of the book is devoted to loss approximations for a wide range of applications. The chapters on high-Tc materials were updated and include a change to SI units and the addition of some historical perspective. |

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### Contents

Survey of TypeII Superconductivity | 17 |

Macroscopic Description of TypeII Superconductors | 29 |

Expressions for the Loss Per Cycle | 41 |

Instantaneous Power Loss in a Sheet in the Bean | 51 |

Cyclical Hysteresis in a Sheet | 67 |

Hysteresis Loss in Circular Wires in the Bean | 79 |

Part HI Multifilament Superconductors | 109 |

Transverse Field Loss in Multifilament Conductors | 125 |

Cables Longitudinal Field Loss and Miscellaneous Topics | 151 |

Loss in High7 Superconductors Exhibiting Granularity | 163 |

High7 Coated Conductors | 181 |

Critique of SI Units | 195 |

Data on Resistivity and Critical Current Density | 203 |

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### Common terms and phrases

ac loss alternating current amplitude anisotropic Appl applied magnetic field assumed average axis Bean model BSCCO calculation Chapter circular wire component computed constitutive equations critical current density cross-section Cryogenic Engineering Cryogenics current density jc cyclic dc transport current defined dynamic resistance eddy current loss effect electric field field applied Figure filamentary filaments full penetration function Gaussian units given grain boundary half-cycle hysteresis loss IEEE IEEE Trans integral intragrain longitudinal loss density loss expressions loss per cycle macroscopic magnetic moment matrix Maxwell equations Maxwell-Lorentz equations Maxwell's Meissner moving boundary multifilament conductor NbTi normal materials obtained occurs ordinary superconductors partial penetration penetration field perpendicular Phys polyhedron power loss problem saturated layer sheet skin effect solid superconductor solution strip supercurrent surface current term theory thickness transverse magnetic field true magnetization twist length type-II superconductor unit vector unit volume voltage Zenkevitch zero