Influence of gap length on the field increase factor β of an electrode projection (whisker)

β, the increase of the macroscopic electric field at the tip of a projection, varies with the gap length. The sign and magnitude of this variation depends upon how the gap length is defined. If gap length is defined as x, the distance from the projection tip to the opposing electrode, then β is a strong function of x and may be approximated by β(x) = β/sub infinity/x/(x+h) [h = projection height] in the region where x/h>10/β/sub infinity/. If gap length is defined as d, the interelectrode distance ignoring the projection, then β is a weak function of d and may be set equal to β/sub infinity/ in the region d/h>2