Solving Cyclotron Movement Problem with 500V and 0.790B

Click For Summary
A cyclotron with a 61.0 cm diameter operates using a 500 V potential difference and a magnetic field strength of 0.790 T. The problem involves calculating the number of revolutions a proton makes before exiting the cyclotron. The user has determined the maximum speed and kinetic energy but is struggling to derive the total number of revolutions. Additional insights are requested on how the cyclotron functions and the conditions under which a proton would reach escape speed. Understanding the mechanics of the cyclotron is essential for solving the problem effectively.
Canadian
Messages
24
Reaction score
0

Homework Statement



A 61.0 cm diameter cyclotron uses a 500 V oscillating potential difference between the dees. The magnetic field strength is 0.790 ?

How many revolutions would a proton make before leaving the cyclotron?

Homework Equations



v/r=Bq/m Ke=1/2mv^2

The Attempt at a Solution



I am completely stumped on this problem, I have calculated the max speed, and therefor max kinetic energy. But cannot figure out how to derive number of revolutions from there.

Any hints would be greatly appreciated.

Thanks
 
Physics news on Phys.org
Canadian,

Why would the electron leave the cyclotron,
Describe first how this device works.
How does the electron reach the escape speed?

Michel
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
View full post »

Similar threads

What is the estimated path length traveled by a deuteron in a cyclotron?
  • · Replies 4 ·
Replies
4
Views
4K
Cyclotron with 1500 V between the two dees
  • · Replies 3 ·
Replies
3
Views
5K
How Many Revolutions Does a Proton Make in a Cyclotron?
  • · Replies 1 ·
Replies
1
Views
10K
Solve Cyclotron Question: Calculate Magnetic Field & Time to Exit
  • · Replies 6 ·
Replies
6
Views
6K
Energy inside a cyclotron, and the frequency of circular motion
  • · Replies 2 ·
Replies
2
Views
2K
Radius & Angular Speed of Proton in Cyclotron
  • · Replies 1 ·
Replies
1
Views
7K
How Does a Deuteron Splitting in a Cyclotron Affect Particle Trajectories?
  • · Replies 1 ·
Replies
1
Views
2K
Maximum producible energy (electromagnetism; cyclotron)
  • · Replies 3 ·
Replies
3
Views
2K
Electromagnetism Homework: How to Solve These Problems?
  • · Replies 2 ·
Replies
2
Views
4K
Time of Electron/Proton to Radiate Away Half of Their Energy
  • · Replies 2 ·
Replies
2
Views
4K