A copper busbar of thickness and conductivity has a field switched on at both faces 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

A copper busbar of thickness L=2.0 cmL = 2.0\,\mathrm{cm} and conductivity σ=5.96×107 S m−1\sigma = 5.96\times10^{7}\,\mathrm{S\,m^{-1}} has a field switched on at both faces at t=0t=0. ((a)) Calculate the magnetic diffusion time τD=μ0σL2\tau_D = \mu_0\sigma L^2. ((b)) Calculate the time constant of the slowest-decaying mode, τ1=τD/π2\tau_1 = \tau_D/\pi^2.

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