Metal nanoparticles are used in applications ranging from bio-diagnostics to catalysis due to the expectation to improve attributes or the performance of specific products or processes. The electric arc can be used to produce metal nanoparticles by evaporating the anode and forming the anode vapor. In order to synthesize the nanoparticles of the desired properties, the influence of various input parameters on the growth kinetics has to be fully understood. In this study, we presented two and three dimensional results of numerical simulation of the transferred electric arc taking into account the interaction model between an electric arc and two electrodes. It was found that the predicted temperature of the arc column with two electrodes was in good agreement with the measured data, and the main advantage of this model over our previous one was to predict the temperature distribution of the arc column with two electrodes by two- and three-dimensional computations.