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Magnetic Field Diffusion Through Infinite Conducting Media
Authors:GF Nalesso  A Stella
Institution:Centro di Studio sui Gas Ionizzati, Consiglio Nazionale delle Ricerche- Universita di Padova, Associazione Euratom-CNR, Padova, Italy
Abstract:The diffusion of the magnetic field due to a step current in an infinitely long ideal conductor, through infinite media is discussed. An analytical solution of the field diffusion through two concentric cylinders of different conductivity is derived using a generalized Ohm's law which considers both solid and fluid conductors. A rigorous mathematical treatment which can be generalized to any number of conducting cylinders is presented.The limiting case of an external superconducting medium is discussed and it is shown that with all the other parameters fixed it represents a lower limit in diffusion time.
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