Cyclotron radiation and max speed of a cyclotron accelerator Consider a proton undergoing 2d cyclotron motion (in the xy-plane) with initial velocity 1:0 in a magnetic field of magnitude 3 "J '3 Has pointing out of the plane. Larmor's formula for the power radiated by an accelerating charge is: P = 6 3 H6013 A. What is the power radiated by a proton undergoing cyclotron motion with velocity v in a magnetic field B? Note that the power dKE radiated is related to the kinetic energy KE of the electron by: 7 = P B. Show that the kinetic energy, KE, of the proton satisfies a differential equation of the form: 7 = yKE, which has solution I E. 1 KEG) = K5087\" where KEU = Eml is the initial kinetic energy. Determine the decay rate y in terms of v, B and fundamental constants. . Assuming that the decay constant is much less than the cyclotron frequency,f,_: y