Calculating Proton Energy in a Cyclotron

AI Thread Summary
To calculate the number of times a proton must pass through the dees in a cyclotron to reach 5 MeV, the relationship between energy, frequency, and the cyclotron's parameters must be established. The relevant equation involves the force, magnetic field, charge, and velocity of the proton. The challenge arises from having two variables, making it difficult to isolate the required values. The proton gains kinetic energy each time it crosses the gap between the dees, where the accelerating voltage is applied. Understanding these dynamics is crucial for solving the problem accurately.
Kajan thana
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Homework Statement


A proton is accelerated to an energy 5Mev in a cyclotron with AC pd of 1KV and the frequency of 8MHz applied to dees.

Calculate the number of times proton would have to pass the dees to reach the energy 5MeV?

Homework Equations


F=BQV=MV^2/r

The Attempt at a Solution


5x1.60x10^-13=0.5m(2πrf)
But then I have two variables to deal with.
 
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Where in the proton's path in a cyclotron does it pick up kinetic energy?
 
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