1.

The diameter of the magnet of the Serpukhov synchrotron is 472 m. The protons enter the accelerating chamber with an energy of 100 MeV and leave it with an energy of 76.5 GeV. Find the initial and the final magnetic induction in the gap and the accelerating field frequencies. We

Answer»

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Solution :The magnetic induction is found from the condition
`B=(p)/(E B) =sqrt(K(2epsi+K))/(eeR)`
and the frequency from the equation `u=(c sqrt(1-(epsi_(0))//epsi)^2)/(2pi R)`
(see 41,6). Note that towards the end of the acceleration cycle the proton.s energy is so GREAT that `N= c//2piR` approximately.


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