Spaceships: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 11: | Line 11: | ||
* r = radius of the cyclotron (meters) | * r = radius of the cyclotron (meters) | ||
* m = rest mass of the proton (1.673×10−27 kilograms), electron is 9.109×10−31 | * m = rest mass of the proton (1.673×10−27 kilograms), electron is 9.109×10−31 | ||
= Lorentz = | |||
[[File:Lorentz Velocity.png|thumb]] | [[File:Lorentz Velocity.png|thumb]] | ||
v=c*sqrt(1-((1/gamma)^2)) | |||
Revision as of 22:05, 5 June 2024
Cyclotron Basics for a Proton
The kinetic energy K of a proton in a cyclotron is given by:
K=(q^2 * B^2 * R^2)/(2m)
where:
- q = charge of the proton (1.602×10−19 coulombs), electron is negative that
- B = magnetic field strength (teslas, 10 is a lot, 20 is a lot lot)
- r = radius of the cyclotron (meters)
- m = rest mass of the proton (1.673×10−27 kilograms), electron is 9.109×10−31
Lorentz
v=c*sqrt(1-((1/gamma)^2))