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Steel_Panther
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Homework Statement
Piece of homework I am stuck on. I have to calculate the magnetic field required to maintain protons at 7Tev in the LHC which has a radius of 27 km. I also have to work out the cyclotron frequency as well.
Homework Equations
7 x 10^15 = mc^2/√(1-v^2/c^2) - mc^2 ----(1)
R = mv/qB ----(2) Where R is radius, q is charge and B is the magnetic field
The Attempt at a Solution
I have tried to work out the velocity of the protons using the first equation as I am sure with that amount of energy I need to take relativity into account. I could then input that into equation 2, but with there being relativistic effects wouldn't these effects on m have to be taken into account? I am not sure if I am going the correct way about tackling this. Any thoughts? Thanks guys