Question

Calculate the magnetic field, B and the Dee radius of a cyclotron which will accelerate protons to a maximum energy of 5 MeV if a radio frequency of 8 MHz is available.

Answer 1

B = ω m/q = (2π × 8 × 106)(1.66 × 10−27)/(1.6 × 10−19)

= 0.52 T

r = (2T/mω2) 1/2 = c(2T/mc2ω2)1/2

= 3 × 108(2 × 5/938 × 4π2 × 82 × 1012)1/2

= 0.616m