A proton in a cyclotron gains K = 2eV of kinetic energy per revolution, where V is the potential between the dees. Although the energy gain comes in small pulses, the proton makes so many revolutions that it is reasonable to model the energy as increasing at the constant rate P = dK/dt = K/T, where T is the period of the cyclotron motion. This is power input because it is a rate of increase of energy. a. Find an expression for r1t2, the radius of a protons orbit in a cyclotron, in terms of m, e, B, P, and t. Assume that r = 0 at t = 0. Hint: Start by finding an expression for the protons kinetic energy in terms of r. b. A relatively small cyclotron is 2.0 m in diameter, uses a 0.55 T magnetic field, and has a 400 V potential difference between the dees. What is the power input to a proton, in W? c. How long does it take a proton to spiral from the center out to the edge?
Chapter 3 Electromagnetic radiation - travels through space in the form of a wave. Radiation - any way in which energy is transmitted through space from one point to another without the need for any physical connection between the two locations Electromagnetic - the energy is carried in the form of rapidly fluctuating electric and magnetic fields. Visible light - the particular type of electromagnetic radiation to which our human eyes happen to be sensitive. Invisible Electromagnetic Radiation - Radio, infrared, ultraviolet waves, X-rays, and gamma rays. Waves - a way in which energy is transferred from place to place without the physical movement of material from one location to the other - all types of electromagnetic radiation travel through space in the form of
