Unipolar space‐charge distribution ρ(t) drifting with constant ion mobility μ in gas under time and space dependent electric fields will evolve according to the unipolar charge drift formula [1/ρ(t)]−[1/ρ(t0)] = (μ/ε0)(t−t0), neglecting diffusion effects. This general formula is especially useful as a starting point for approximate treatment of space‐charge effects, both in ion drift and diffusion experiments, and in electrical coronas. A first simple derivation of an equivalent of the Warburg cos5ϑ current‐density distribution for point‐to‐plane coronas is given, together with a formula for the maximum possible unipolar ion current (the unipolar saturation current) Is ≊2με0 V2/d, for a given corona voltage V and point‐to‐plane distance d. It is demonstrated that corona currents in excess of this limit always involve free electron or bipolar conduction phenomena, like streamers.
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February 1982
Research Article|
February 01 1982
Simple approximate treatment of unipolar space‐charge‐dominated coronas: The Warburg law and the saturation current
R. S. Sigmond
R. S. Sigmond
The Electron and Ion Physics Research Group, Physics Department, The Norwegian Institute of Technology, N‐7034 Trondheim‐NTH Norway
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J. Appl. Phys. 53, 891–898 (1982)
Citation
R. S. Sigmond; Simple approximate treatment of unipolar space‐charge‐dominated coronas: The Warburg law and the saturation current. J. Appl. Phys. 1 February 1982; 53 (2): 891–898. https://doi.org/10.1063/1.330557
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