- Joined Feb 25, 2016
I'm looking for the analytical approach for quite some time but to no avail. The angle between the plates may be theta and the plates may have area A.
Hi there,That's basically how Calculus works, but my education is deficient so I tried to say it in language no higher than trigonometry.
This might work, but we are neglecting fringing fields and those might become dominant as we progress along this train of thought. This approach is also assuming that the electric fields in the dielectric are always a straight line, which we know is not the case since they will leave each plate normal to that plate.Hi,
I am not entirely sure if this is the same idea as #12 had in the previous post but i will be stating this differently anyway so let's see what happens
First, i assume you know the capacitance of a truly parallel plate capacitor.
Second, rather than find a new formula from somewhere let's see if we can develop one right from the definition of a parallel plate capacitor. Well, let's see if you can do it, if you want to that is. Note that there are other ways but this one i think is more interesting.
To start, we have the capacitance of a parallel plate capacitor in simplified form:
A is area,
d is distance between plates,
K is a constant which we assume does not change with distance.
We will adhere to the above in order to keep this simple.
To start this off we divide the plate area in half, say across the width, and keep each plate parallel, and the distance for each plate will be the different for each of these two plates. That gives us two parallel plate capacitors connected in parallel. The distance between the first two plates d1 is the distance of the left edge of the original cap, and the distance of the second two plates d2 is the distance of the right edge of the original cap. So the combined capacitance of this new structure is:
Hello there,This might work, but we are neglecting fringing fields and those might become dominant as we progress along this train of thought. This approach is also assuming that the electric fields in the dielectric are always a straight line, which we know is not the case since they will leave each plate normal to that plate.
It's called a, "bug zapper".
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