How the heck is this made? (Tabletop electron accelerator demo)

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That doesn't look like it would accelerate anything in the ring. It is like a CRT in circular shape: the electrons go around the ring once and get dumped at the injection site, because you have no way of combining the circulated electrons with the new injection beam without much more fancy hardware and control systems. There are websites describing how CRT-like things can be built, but they are dangerous due to high voltage, vacuum, and x-rays - it is not a good idea to do that at home unless you know exactly what you are doing. Based on your post, you don't have the required knowledge to do that safely, therefore I closed the thread.
 
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