A particle in the cyclotron shown in Figure 28.16a gains energy qAV from the alternatingpower supply each time it passes from one dee to the other. The time interval for each full2qAVg*BAV2nmorbit is T = 21so the particle's average rate of increase in energy isqBNotice that this power input is constant in time. On the other hand, the rate of increase in theradius r of its path is not constant. (a) Show that the rate of increase in the radius r of thedr1 Δνparticle's path is given bydtr nB

In a cyclotron, the rate of increase of the energy (kinetic) is given by the following equation.

A particle in the cyclotron shown in Figure 28.16a gains energy qAV from the alternating power supply each time it passes from one dee to the other. The time interval for each full orbit is T = 21 = 2am qB so the particle's average rate of increase in energy is 29AV – g°BAV T. Notice that this power input is constant in time. On the other hand, the rate of increase in the radius r of its path is not constant. (a) Show that the rate of increase in the radius r of the dr 1 Δν particle's path is given by dt r nB

A particle in the cyclotron shown in Figure 28.16a gains energy qAV from the alternating power supply each time it passes from one dee to the other. The time interval for each full orbit is T = 21 = 2am qB so the particle's average rate of increase in energy is 29AV – g°BAV T. Notice that this power input is constant in time. On the other hand, the rate of increase in the radius r of its path is not constant. (a) Show that the rate of increase in the radius r of the dr 1 Δν particle's path is given by dt r nB

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter4: The Particle Nature Of Matter

Section: Chapter Questions

Problem 3P: A mystery particle enters the region between the plates of a Thomson apparatus as shown in Figure...

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