We distinguish the screening contributions due to the Coulomb and radiation parts of the electromagnetic field subsequent to the ultrafast photogeneration of electron-hole pairs in photoconductive GaAs terahertz (THz) sources. We employ the Monte Carlo method self-consistently including the Maxwell equations to study the effects of the excitation-spot size and excitation level on the emitted THz radiation, and find for a range of reasonable excitation levels an excitation-spot diameter of similar to 100 mu m as the crossover point beyond which radiation effects dominate screening.