Mathematical Model to determine the electrical resistivity characteristics of composite coatings based on conductive carbon black

Implementing carbon base fillers e.g. carbon black pigments in a polymer binder is one of the most widely used methods for making conductive coatings. The grade of carbon black pigment and formulating parameters such as pigment concentration and additives have a large impact on the quality of the resistivity characteristics of the coating. In this study, samples of various amounts of conductive carbon black pigment in the acrylic polymer is provided. Based on the data obtained from these samples a mathematical model has been developed to determine the resistivity of the coating as a function of the carbon black pigment concentration. It is shown that how the performance of a typical conductive coating can be evaluated quantitatively throughout this model.