An aluminium busbar in a power converter carries a switching-ripple current

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 The quasi-static approximation, eddy currents and the skin effect

Problem

An aluminium busbar in a power converter carries a f=10 kHzf = 10\,\mathrm{kHz} switching-ripple current. Aluminium has σ=3.50×107 S m−1\sigma = 3.50\times10^7\,\mathrm{S\,m^{-1}}, μr=1\mu_r = 1 and εr≈1\varepsilon_r \approx 1. ((a)) Evaluate Λ=ε0ω/σ\Lambda = \varepsilon_0\omega/\sigma and state whether the displacement current may be dropped. ((b)) Calculate the skin depth of the aluminium at this frequency.

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