The Proximity Effect

D. 1 Current Distribution

In the late 1960s Glenn Smith analyzed the problem of what happens to the current distribution in long parallel wires that are close to one another in terms of their radius. His work was published in a Harvard technical report [1], and a paper [2] in 1972. This Appendix reworks the analysis given in the paper, makes some comments, and describes a simpler method to find the coefficients in the Fourier series for the normalized current densities.

D.1.1 Problem Formulation and Reduction to a System of Linear Equations

Figure D.1 shows the layout and notation for the geometry. The plan of attack is to develop the vector magnetic potential near wire m due to all currents, then apply a boundary ...

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