Question

A cyclotron with a radius of 1.0 m is to accelerate deuterons ({^{2}_{1} H }) to an energy of 12 MeV. a) What is the required magnetic field? b) What frequency is needed for the voltage between the dees? c) If the potential difference between the dees averages 22 kV, how many revolutions will the particles make before exiting? d) How much time does it take for one deuteron to go from start to exit? e) Estimate how far it travels during this time.

Accepted Answer

a) 0.71 T  b) 5.4 MHz  c) 270 revs  d) 5.0 x 10^{-5} s  e) 860 m

A cyclotron with a radius of 1.0 m is to accelerate deuterons ( ${^{2}_{1}\textrm{H}}$ ) to an energy of 12 MeV.

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A cyclotron with a radius of 1.0 m is to accelerate deuterons (12H{^{2}_{1}\textrm{H}}12​H) to an energy of 12 MeV.

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A cyclotron with a radius of 1.0 m is to accelerate deuterons ( ${^{2}_{1}\textrm{H}}$ ) to an energy of 12 MeV.