A novel approach to the Child-Langmuir law

Authors

  • G. González
  • F.J. González

Keywords:

Child-Langmuir law, Mott-Gurney Law, space charge current

Abstract

We analyze the motion of charged particles in a vacuum tube diode using a new set of variables. We obtain the space charge limited current for a charged particle moving non-relativistically in one dimension for the case of zero and non zero initial velocity without solving a nonlinear differential equation. We introduce what we call the microscopic Child-Langmuir law which is valid for the classical and relativistic cases that allows to determine the space charge limited current without solving a nonlinear differential equation.

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Published

2017-01-01

How to Cite

[1]
G. González and F. González, “A novel approach to the Child-Langmuir law”, Rev. Mex. Fis. E, vol. 63, no. 2 Jul-Dec, pp. 83–86, Jan. 2017.

Issue

Vol. 63 No. 2 Jul-Dec (2017): Revista Mexicana de Física E

Section

Artículos

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Copyright (c) 2019 Revista Mexicana de Física E

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