A proton circulates in a cyclotron, beginning approximatelyat rest at the center.Whenever it passes through the gap betweendees, the electric potential difference between the dees is 200 V.(a) By how much does its kinetic energy increase with each passagethrough the gap? (b) What is its kinetic energy as it completes100 passes through the gap? Let r100 be the radius of the proton’scircular path as it completes those 100 passes and enters a dee,and let r101 be its next radius, as it enters a dee the next time. (c) Bywhat percentage does the radius increase when it changes fromr100 to r101? That is, what is percentage increase r101 - r100/r100 100%?
A proton circulates in a cyclotron, beginning approximatelyat rest at the center.Whenever it passes through the gap betweendees, the electric potential difference between the dees is 200 V.(a) By how much does its kinetic energy increase with each passagethrough the gap? (b) What is its kinetic energy as it completes100 passes through the gap? Let r100 be the radius of the proton’scircular path as it completes those 100 passes and enters a dee,and let r101 be its next radius, as it enters a dee the next time. (c) Bywhat percentage does the radius increase when it changes fromr100 to r101? That is, what is percentage increase r101 - r100/r100 100%?
Chapter7: Electric Potential
Section: Chapter Questions
Problem 77P: An election enters a region between two large parallel plates made of aluminum separated by a...
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Question
A proton circulates in a cyclotron, beginning approximately
at rest at the center.Whenever it passes through the gap between
dees, the electric potential difference between the dees is 200 V.
(a) By how much does its kinetic energy increase with each passage
through the gap? (b) What is its kinetic energy as it completes
100 passes through the gap? Let r100 be the radius of the proton’s
circular path as it completes those 100 passes and enters a dee,
and let r101 be its next radius, as it enters a dee the next time. (c) By
what percentage does the radius increase when it changes from
r100 to r101? That is, what is percentage increase
r101 - r100/r100
100%?
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