Exponential Expression of Relating Different Positive Point Electrode for Small Air Gap Distance

The purpose of this research is to draw a-mathematical relationship between different positive point electrodes using air as the dielectric medium for small gap distance. Four electrodes with varying radius of curvature were used at gap distance ranging from 1 to 12.5 cm under the same atmospheric condition. These results were graphically analyzed after finding the fifty percent probability (V50%) of the breakdown voltage. Using the exponential form in expressing them, a general formula was derived for the breakdown voltage for sharply non-uniform field for small air gap distances. The humidity level was noted because of the varying humidity level of environment. The spark over voltage increases with humidity therefore the wet and dry bulb readings were taken before each experiment and the required correction factors were noted.