![]() We could then measure the voltage anywhere on the sheet of paper and draw the equi-potential lines and the field lines (perpendicularly). Voltage were applied as needed for the model. The conducting elements were represent with metallic ink. This was a conducting paper, a black paper. ? But I have no idea if it affects the capacity of only the edge fields.įinally, I remember, when I was student, I had to study that experimentally, by drawing field lines on a special paper. Note that the "quality" of the edge might play a role: is it sharp or rounded, is it infinitely thin or not. Maybe there are also analytical solution for the circular plates. Observe that you will not need to calculate the details of the fringing fields to calculate the capacity. You could eventually program that yourself easily for a 2D model: a linear solve is all that is needed, if you discretize your plates by 1000 elements, this will bring you 1000 equations to solve (each charge in these point) - 1 (one charge should be fixed). The boundary element method fits better to the nature of the problem as I explained it. You could use a finite element method or a boundary element method. This correction should reduce or nullify the field parallel to the plates.Īnother way to solve the problem is to use a numerical solver. The second approximation consist of a correction to the charge distribution. I would be interrested to know your result: does it have an effect on the capacity, and why? Then, choose the points of symmetry as the most representative. This because the field parallel to the plates will not vanish. The problem is: the voltage that you will calculate will depend on the points chosen on the plates. The effect of fringing on the capacity is then obtained by comparing the calculated capacity to the capacity of an infinite plate condensator (per m² of course). Eventually this may suffice to your need, depending on the required precision. This first approximation will already display fringing of the field. The idea is to assume a first approximation: uniform charge density. ![]() ![]() Easier to say than to do ! There are old methods to do this, with "image" or "ghost" charges. Yes, try to figure out what the charge distribution on the plates is, and then summ up the fields from these charges. Is there a way of calculating how far these fields fringe outwards? ![]()
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