Electrode potential for a reversible system

For a reversible system, the electrode potential is given simply by the Nernst equation 

If the electron transfer is not sufficiently fast, that is, we have a 

The problem now is to calculate p from Eq. 4.10, given i or g. Except for some special cases such as zero or very large current magnitude, this will have to be done numerically - for example, by a binary search for a value of p that satisfies Eq. 4.10. 

In simulations, we prefer to work with dimensionless variables and the resulting equations are presented here as well. With G as defined previously Eq. 4.10 normalises to 

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