A particle accelerator is a machine that cases small charged particles to move very fast. You create them by created a large electric field. Linear accelerators are fairly simple–just create a very large voltage difference between the accelerator ends. The particle will accelerate until it hits the other end. A circular track is used to get the particles moving faster (a circle has no end)–each trip around you can add a bit more energy.
Until around the 2000’s most homes in the US had a particle accelerator. Those old large, heavy glass TVs (CRT) used a short particle accelerator to throw electrons at the phosphors on the screen.
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