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Feb16-13, 09:48 PM
P: 10
Quote Quote by Vanadium 50 View Post
I'm pretty sure that a capacitor with fractal shapes will have zero capacitance. Doesn't that mean you will have arbitrarily sharp edges, which means you'll have an arbitrarily large field near that edge, and thus have breakdown as soon as any voltage is applied.
Lets say that the sharp edges have been "rounded" somehow. My point is more that we have a huge surface area and I described it using the term "fractal" because that concept allows us to create a huge surface area in a tiny volume, which is what I really wanted to emphasize.