Answered: The black, dashed, B represent the path…

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter12: Relativity, Particle Physics, And Cosmology

Section: Chapter Questions

Problem 33Q

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Question

A cyclotron (as shown) designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.800 T. (a) Find the cyclotron frequency for the protons in this cyclotron. Find (b) the speed at which protons exit the cyclotron and (c) their maximum kinetic energy. (d) How many revolutions does a proton make in the cyclotron? (e) For what time interval does the proton accelerate?

The black, dashed,
B
represent the path
of the particles.
curved lines
Alternating AV
-D2
After being
accelerated, the
particles exit here.
North pole of magnet
a
Figure 28.16 (a) A cyclotron consists of an ion source at P, two dees D, and D, across which an alter-
nating potential difference is applied, and a uniform magnetic field. (The south pole of the magnet is
not shown.) (b) The first cyclotron, invented by E. O. Lawrence and M. S. Livingston in 1934.
Lawrence Berkeley National Laboratory

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