Spaceships: Difference between revisions

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* 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

Lorentz Velocity.png

v=c*sqrt(1-((1/gamma)^2))