The electrobrachistochrone

@inproceedings{Lipscombe2018TheE,
  title={The electrobrachistochrone},
  author={Trevor C. Lipscombe and Carl E. Mungan},
  year={2018}
}
The brachistochrone problem consists of finding the track of shortest travel time between given initial and final points for a particle sliding frictionlessly along it under the influence of a given external force field. Solvable variations of the standard example of a uniform gravitational field would be suitable for homework and computer projects by undergraduate physics students studying intermediate mechanics and electromagnetism. An electrobrachistochrone problem is here proposed, in which… 

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