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• W2007427993 abstract "The fundamental Child–Langmuir limit on the maximum current density in a vacuum between two infinite parallel electrodes is one of the most well known and often applied rules of plasma physics. We develop a simple model using vacuum capacitance, conservation of energy, and conservation of charge to derive the Child–Langmuir space-charge-limited emission. This capacitive model provides physical insight into the origins of the well known (voltage)3/2/(gap distance)2 scaling of the classical current density and does not require the solution of the nonlinear differential equation normally associated with the Child–Langmuir formulation. In addition, the full spacecharge-limited solution is reproduced without imposing the condition that the electric field be driven to zero at the cathode surface." @default.
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• W2007427993 date "2005-01-13" @default.
• W2007427993 modified "2023-10-01" @default.
• W2007427993 title "A simple physical derivation of Child–Langmuir space-charge-limited emission using vacuum capacitance" @default.
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• W2007427993 doi "https://doi.org/10.1119/1.1781664" @default.
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