An aluminium sheet of thickness and conductivity has a magnetic field switched on at…

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electromagnetic induction and alternating-current circuits · Electromagnetic induction and alternating-current circuits

The Boundary-Value Problem, Ch Magnetic diffusion, shielding and flux exclusion

Problem

An aluminium sheet of thickness

L = 5.0\,\mathrm{mm}

and conductivity

\sigma = 3.5\times10^{7}\,\mathrm{S\,m^{-1}}

has a magnetic field switched on at its two faces at

t=0

. ((a)) Calculate the magnetic diffusion time

\tau_D = \mu_0\sigma L^2

. ((b)) Calculate the time constant

\tau_1

of the slowest-decaying mode of the slab transient,

\tau_1 = \tau_D/\pi^2

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