Question

A small cyclotron of maximum radius 0.5 m accelerates protons in a 1.7 T magnetic field. Calculate the kinetic energy (maximum) of protons when they leave the cyclotron.

Answer 1

Given: B = 1.7 T, q = 1.6 x 10^-19 C, m = 1.66 x 10^-27 kg, r_max = 0.5 m

`KE_max=(q^2B^2)/(2m)r_max^2`

`KE_max=((1.6xx10^-19)xx1.7xx1.7xx0.5xx0.5)/(2xx1.66xx10^-27)`

`=(1.8496xx10^-38)/(3.32xx10^-27)`

`=0.5571xx10^-11`

`KE_max=5.5xx10^-12J`