Optimization of the electric field calculation for a rod-shaped conductor in a uniform electric field

Abstract

A rod-shaped conductor in a uniform electric field is analyzed based on finite difference method. Most induction charges distribute at the two hemisphere ends, which is similar with two connected conducting spheres in a uniform field. Therefore, the boundary potentials are calculated by multiple image method for the system with two connected conducting spheres. Comparing the results from our method with those from traditional method with constant boundary potentials, our method can improve calculation evidently. Results prove that this method is available and credible, and it can give electric field with high precision.