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• One might hope that the next generation of accelerators after the Large Hadron Collider being constructed at the CERN lab in Switzerland will produce particles with energies of at least 200 TeV (some 30 times more than the LHC). Assuming that the machine is a proton synchrotron and that the maximum practical B field is 10 T (the same as for the LHC), what would be the required diameter of such a machine? (Your answer should suggest that some completely new technology will probably be needed before a machine of this energy can be undertaken.)
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