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Superconducting Sphere in an External Magnetic Field Revisited

机译:再谈外磁场中的超导球

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It is the purpose of this article to give the obtainable to undergraduate student’s grasp evidence for the fact that the magnetic field outside the hollow superconducting sphere (superconducting shell) coincides with the field of a point magnetic dipole both when an uniform external magnetic field is applied as when a ferromagnetic sphere is located at the shell’s geometrical center. The evidence is founded on the London’s equation transformation to an integral equation for the vector potential of system. This evidence is alternative to the traditional one, when the London’s equation solution inside a superconductor and the Maxwell’s equation solution outside it are joined on it’s surface. The integral equation may be solved completely for the case of a solid sphere
机译:本文的目的是为中学生提供掌握的证据,证明当施加均匀的外部磁场时,空心超导球(超导壳)外部的磁场均与点磁偶极子的场一致。就像铁磁球位于壳的几何中心一样。证据基于将伦敦的方程式转换为系统的矢量势的积分方程式。当超导体内部的伦敦方程组解决方案和超导体外部的麦克斯韦方程组解决方案在其表面上结合在一起时,该证据将替代传统证据。对于固体球体,积分方程可以完全求解

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