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The compound SiV3 is a type-II superconductor. At temperatures near absolute zero the two critical fields are Bc1 = 55.0 mT and Bc2 = 15.0 T. The normal phase of SiV3 has a magnetic susceptibility close to zero. A long, thin SiV3 cylinder has its axis parallel to an external magnetic field in the +x-direction. At points tar from the ends or the cylinder, by symmetry, all the magnetic vectors are parallel to the x-axis. At a temperature near absolute zero, the external magnetic field is slowly increased from zero. What are the resultant magnetic field and the magnetization inside the cylinder at points far from its ends (a) just before the magnetic flux begins to penetrate the material, and (b) just after the material becomes completely normal?
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