Abstract
In this paper, the mathematical modeling in three dimensions of the local current density distribution on a planar cathode is analyzed by using potential theory and Green's theorem for a uniform Wagner polarization parameter, , and a uniform exchange current density on the cathode surface. The resultant Fredholm integral equations of the second kind are solved numerically by computer. Both large and small are considered. The ratio of the local current density to the average value is computer plotted in three dimensions for different values and positions on the electrode. The results are in accord with the trends in current density established by Wagner based on a similar two‐dimensional analysis. Corner effects and variations along the edge are predicted from the three‐dimensional analysis.
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