It is assumed almost invariably in the literature that traps, when present, are distributed uniformly in the bulk of a device. But in unipolar space-charge-limited current (sclc) charge carrier traps suppress current most efficiently when located in the immediate vicinity of the emitter. A new model is developed, therefore, which accounts for this result by assuming that the traps responsible for the current suppression are located at the emitter interface in a surface concentration Σ while the bulk remains free of traps. The analysis has been carried out for traps with one discrete trapping level E
tbelow the edge E
bof the conducting band and for the five distinct cases of planar, cylindrical, and spherical configuration. The main results are: (a) The V-I characteristic exhibits the V
TFLtypical to many experimental results. (b) The relevant parameter is the ratio

, where r is a length characteristic of the geometrical configuration of the device and N is the effective density of states of the conducting band. (c) For a semispherical emitter ("point contact") unipolar sclc dominated by interface trapping is essentially independent on sample dimensions.