Microscopic electrical defects in the photoreceptor termed Charge Deficient Spots (CDSs) can give rise to objectionable print defects in xerographic systems such as laser printers. Theoretical calculations of Space Charge Limited Currents (SCLC) between concentric cylindrical and spherical electrodes show that a finite SCLC can be sustained, for a finite applied voltage, even as the radius of the emitting electrode goes to zero. Numerical simulations of the SCLC in a model system consisting of a ground plane with a finite circular emitting region and a parallel collector kept at constant applied potential have shown that the SCLC varies linearly with emitter radius for small radii. In this paper we consider the emitting region to be an infinitely long strip of finite width, which may be termed a Charge Deficient Line (CDL). Using the same numerical technique, we address the following questions: i) does the current vanish as the width of the CDL vanishes and ii) what is dependence of the current on the width? Finite element methods were used to calculate the SCLC consistent with Maxwell's equations and the correct boundary conditions. Our results show that, for a fixed applied voltage, the SCLC varies linearly with emitter width for large width and becomes independent of width for small width.