Abstract

A theoretical study has been made of the initial electron flow when a signal voltage V(t) is applied across an idealized planar diode. The analysis is based upon three fundamental postulates: Poisson's equation, Newton's equation, and the continuity equation. This quasi-stationary study includes both the growth and motion of the space-charge cloud of electrons across the interelectrode space and the transient build-up of the current in the external circuit. The analytical forms and numerical plots of the current build-up under space-charge-limited and temperature-limited operation are compared for various ``large'' and ``small'' signal voltages.

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