The classical magnetic force formula F = qvB is correct relativistically. But if a magnetic field is to keep a high-energy charged particle moving in a circle, it must satisfy the relativistically correct relationship between force and centripetal acceleration, F = γvm(v2/r). (a) To keep a i TeV proton in a 1 km radius circle, as is done at the Tevatron, how strong must the magnetic field be? (b) How large would the radius have to be for magnets of the same strength to keep a 20 TeV proton in a circle?
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