ISSN 1608-4039 (Print)
ISSN 1680-9505 (Online)


For citation:

Shvetsov A. S. Investigation into nonuniformity of potential distribution in electrodes and its influence on inner resistance by application of mathematical methods. Electrochemical Energetics, 2005, vol. 5, iss. 3, pp. 198-?.

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Language: 
Russian
Article type: 
Article

Investigation into nonuniformity of potential distribution in electrodes and its influence on inner resistance by application of mathematical methods

Autors: 
Shvetsov A. S., Ural Electrochemical Combine
Abstract: 

Discussed are one-dimensional and two-dimensional cases of potential distribution in electrode. It is demonstrated that if the rate of current formation in each point of electrode was (according to Faraday's law-) proportional to transferred electrical charge as well as to deviation of potential from equilibrium potential, then the problem of potential determination brings to equation solution in the form: Δφ = k2φ , where Δ – Laplace operator; φ – potential deviation from equilibrium; k – a constant dependent on electrode parameters.
The analysis of solutions obtained demonstrates that the design features of current leads produce unconformity of current and potential distribution in electrodes. As a result, the current-formatting processes over the electrode area occur with different rate The rate of charge/discharge processes in sections adjacent to current leads is higher than in remote sections and periphery of electrode. Calculation indicates that the increase of potential nonconformity in electrodes results in increase of inner resistive component.