Timeline for Why is electric field zero where equipotential surfaces intersect?
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| Dec 21, 2017 at 21:53 | comment | added | Emilio Pisanty | @ Rob scratch that, I found an example - but it's not exactly the simplest function I've ever seen. I suspect one can show that touching equipotentials with a nonzero electric field require that kind of pathological behaviour, but I don't quite see how you'd prove that (or, indeed, why you'd care enough to spend much time trying to do so). | |
| Dec 21, 2017 at 20:26 | comment | added | Emilio Pisanty | I've tried, and thus far failed, to produce a potential with equipotentials that touch at a single point with parallel normals and which nevertheless produces a nonzero electric field there. Can you see through that one? | |
| Dec 21, 2017 at 20:09 | history | answered | ProfRob | CC BY-SA 3.0 |