On the transient space‐charge‐limited current problem—a solution in Lagrangian mass variables

摘要

Using a one‐dimensional unipolar ion conduction model of the type originally studied by Many and Rakavy, the transient behavior of the electric field and space‐charge distribution is studied in planar, cylindrical, and spherical geometries. A general solution in Lagrangian mass variables is obtained. We are able to recover the recent results of Hensen in planar geometry.