- #1
lozzyjay
- 16
- 0
Homework Statement
In the year 2000, the highest energy beams at LEP were achieved, at E = 104.5GeV.
a) Calculate how much larger was the synchrotron energy loss at this energy, relative to the synchrotron energy loss at E = 45.1GeV
Homework Equations
E[tex]_{loss}[/tex] = (E/m)^4 x [tex]\frac{1}{R}[/tex]
The Attempt at a Solution
Ok, I'm sure my value is WAY too low, and I'm not sure why, I missed the lecture where this was explained so I have no clue at the moment!
I took E = 105.4 x 10^9eV
I took m = 4.59 x 10^22eV
And r is equal to 4300m.
Ok, so I think I am using the wrong value for mass. I assume I should be using the mass of the electron?
When I entered in 9.11x10^-31kg, then I was unable to work out the brackets to the power of 4. I looked on wikipedia, and it had the value for it in Mev/c^2. So I multiplied that value by c^2 and converted it into eV. I don't know if this is where I went wrong?
The answer I go by doing the above is:
5.284 x 10^-16eV.
Which I think is too low? But I'm not sure?
Any help would be much appreciated!