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The magnetic field in a cyclotron is 0.5 T. What must the minimum radius of the...

The magnetic field in a cyclotron is 0.5 T. What must the minimum radius of the dees be in metres, if a proton beam is to be produced with a maximum speed of 8.7×107 m/s? (give answer to 2 s.f.)

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Answer #1

Lorentz = q v B sin (90) = provides = mv^2/r = centripetal
r (radius) = m v /qB
r (radius) = [1.67*10^-27/1.6*10^-19] *[8.7*10^7 /0.5]
r = 1.82 meter

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