We describe a simple way to compute the response of an irregular resis
tive interface to a Laplacian field in d = 2. It permits to find the l
inear response of electrodes with an arbitrary geometry from the image
only of the electrode. It also allows to compute the non-linear respo
nse of self similar electrodes. This method applies in principle to ar
bitrary irregular geometry in d = 2 and it permits to predict generall
y that the slope of the Tafel plot is divided by the fractal dimension
.