# Particle physics - calculate the synchrotron energy loss

1. Oct 5, 2008

### lozzyjay

1. The problem statement, all variables and given/known data

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

2. Relevant equations

E$$_{loss}$$ = (E/m)^4 x $$\frac{1}{R}$$

3. 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!