- #1
rpiengineer
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Hi folks. I have read in several papers that the electric field intensity adjacent to the very tip of an electrode (the "point" in a point-plane geometry) surrounded by a dielectric medium is given by
2V / [r ln(4d/r)]
where r is the tip radius, d is the point-plane spacing, and V is the applied voltage. The papers I have read do not give a reference for this equation, however. Does anyone know where this equation comes from? I have thought about different ways one might derive this, but my models are lacking in their use of the electrode radius "r". The undergraduate and graduate textbooks I have available do not address this particular problem.
Many thanks in advance to anyone who can help me here !
Rob
2V / [r ln(4d/r)]
where r is the tip radius, d is the point-plane spacing, and V is the applied voltage. The papers I have read do not give a reference for this equation, however. Does anyone know where this equation comes from? I have thought about different ways one might derive this, but my models are lacking in their use of the electrode radius "r". The undergraduate and graduate textbooks I have available do not address this particular problem.
Many thanks in advance to anyone who can help me here !
Rob