Abstract
This paper gives a theoretical analysis of the distribution of potential and current density on the surface of a coplanar galvanic cell in which the polarization parameters for cathode and anode are unequal. The potential at any point can be represented as a Fourier series, in which the coefficients themselves are infinite series. It is shown that these Fourier coefficients can only be approximated by numerical methods. The potential distribution across the electrode at the electrode/electrolyte interface is shown to be dependent on both the anodic and cathodic polarization parameters and cannot be deduced from the potential distribution occurring when the anodic and cathodic polarization parameters are equal. As the cathodic polarization parameter is increased relative to that of the anode the potential shifts toward the open‐circuit anodic voltage and both the potential and current distribution become more uniform. A parameter is suggested which characterizes the “microscopic” or “macroscopic” behavior of the cell. When the ratio between polarization parameters is large the behavior of the cell tends toward either anodic or cathodic control rather than the “mixed” control.

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