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A unified model is proposed for the effects of the nonuniformity of samples along the length on the acoustoelectric current instabilities in photoconducting CdS. Various aspects of the current saturation and oscillation are explained by numerical calculations based on the model. A qualitative discussion is also given for the behavior of the current oscillation in semiconducting CdS. A criterion for the current oscillation and a relation between the acoustoelectric oscillation and the Gunn oscillation are obtained by using the impedance function.