For the collision and coagulation of dielectric nanoparticles randomly oriented and moving in an electric field, the collision frequency function of the particles in Stokes regime is derived. The numerical solution obtained by the Taylor expansion moment method in the Stokes regime coagulation problem is very consistent with the numerical solution obtained by the previous study of the TEMOM model. In this paper, the first-order ordinary differential equations are constructed to obtain closed-form expressions. The fourth-order Runge-Kutta algorithm is used to derive the particle concentration of the dielectric nanoparticles under different electric field strengths and different polarities. The law of variation of the polydispersity of the system during coagulation and rupture. These expressions are used in simple overall balance expressions to illustrate the importance of their range of physical parameter values encountered in real systems. The results show that this method can be used to solve the accuracy of the general kinetic equation in the process of particles coagulation under electric field, and the calculation cost is low.