cyclotron The diagram below is a schematic of a cyclotron. A charged particle starts out at...

Transcribed Image Text:

cyclotron The diagram below is a schematic of a cyclotron. A charged particle starts out at the central point and, for a given magnetic field perpendicular to the plane of motion, follows a circular path. The cyclotron takes advantage of the fact that the time for the particle to execute a half-circle is independent of the particle's velocity. An alternating voltage is applied across the gap between the two 'Dees' (the semicircular regions), so that, when the particle crosses the gap, the voltage acts to accelerate it. When the particle gets to the gap again after having completed a half-circle, the voltage has changed sign, and the particle is once again accelerated. The frequency of the oscillating voltage must match the cyclotron frequency. In this way, the particle is always accelerated, completing even bigger circles in the same time until the beam is extracted at maximum radius. 1.0p 1a Oscillator Gap Extraction region Beam Dee If the magnetic field has strength 0.05 T and the circulating particle is an(a) proton, q=+e and m = 1.67 x10-27 kg, what is the cyclotron frequency? cyclotron The diagram below is a schematic of a cyclotron. A charged particle starts out at the central point and, for a given magnetic field perpendicular to the plane of motion, follows a circular path. The cyclotron takes advantage of the fact that the time for the particle to execute a half-circle is independent of the particle's velocity. An alternating voltage is applied across the gap between the two 'Dees' (the semicircular regions), so that, when the particle crosses the gap, the voltage acts to accelerate it. When the particle gets to the gap again after having completed a half-circle, the voltage has changed sign, and the particle is once again accelerated. The frequency of the oscillating voltage must match the cyclotron frequency. In this way, the particle is always accelerated, completing even bigger circles in the same time until the beam is extracted at maximum radius. 1.0p 1a Oscillator Gap Extraction region Beam Dee If the magnetic field has strength 0.05 T and the circulating particle is an(a) proton, q=+e and m = 1.67 x10-27 kg, what is the cyclotron frequency?