Estimation of the space charge limited current with quadratic damping

Authors

  • D. González
  • V. H
  • G. González

Keywords:

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

Abstract

In this paper we analyze the motion of charged particles under the influence of a quadratic velocity dependent frictional force inside a vacuum tube diode. Our study is performed by using the adiabatic approximation that allows for exact analytic solutions for the case of weak damping. The expressions obtained for the space charge limited current reduce to the well known Child-Langmuir law under the adiabatic approximation when the dissipation parameter goes to zero.

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Published

2015-01-01

How to Cite

[1]
D. González, V. H, and G. González, “Estimation of the space charge limited current with quadratic damping”, Rev. Mex. Fís., vol. 61, no. 5 Sept-Oct, pp. 388–0, Jan. 2015.

Issue

Vol. 61 No. 5 Sept-Oct (2015): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.