Uber die elektronenraumladung zwischen ebenen elektroden, unter beru¨cksichtigung der anfangsgeschwindigkeit und geschwindigkeitsverteilung der elektronen

Abstract

Summary In the introduction the assumptions, which are used as a basis for this theoretical treatment are enunciated: Components of electron velocity perpendicular to the planes of the screen grid and the anode only. No secondary emission. No electrons revolving about the screen grid. Stationary potentials and currents. Screen grid and anode at given positive potentials. The velocity distribution of the electrons, entering the screen grid-anode-space is illustrated in fig. 1. Section II contains the fundamental differential equations of the problem. No exact solution of these equations is possible, hence a numerical solution is given in section III. This numerical solution is discussed in section IV and several characteristic curves of the problem are shown. The chief difference with previous treatments neglecting the velocity distribution of the incoming electrons resides in the fact, that the double valued regions of the characteristic curves are smaller in the present case and diminish with increasing width of the velocity distribution. Section V contains the application of the general equations to the familiar case of a diode. Langmuir's equation is obtained as a first approximation in this case.