A numerical simulation has been performed to calculate the distributions of dust particles of various sizes down the tail of comet P/Giacobini-Zinner. When the electrostatic charging of the grains in the plasma and radiative environment of the comet is taken into account, it is found that the distribution of the grains (particularly at the lowest end of the mass spectrum) in a plane normal to the orbital plane is entirely different from what is expected had the grains been uncharged. Although the NASA-ICE spacecraft, which will fly through the tail of this comet almost normal to its orbital plane on Septemer 11, 1985, has no dedicated dust experiments, it is expected that the plasma wave instrument will serve as an indirect detector, even of the smallest grains, via the plasma clouds created by the high-velocity dust impacts. Knowledge of the spatial variation of the grain sizes encountered along the flight path of the spacecraft will provide us with the information necessary to calculate the electrostatic potential of the grains, which in turn will lead to an estimation of the role of the electromagnetic forces on the dynamics of such grains.