Question

Please explain to me how to do this question!!!!!!!

A beam consists of singly ionised neon-20 atoms all travelling at the same speed, 3*10^5 m/s, through a vacuum. As the beam passes through the magnetic field it follows a circular path of radius 0.125m. The force on each of of mass 3.32*10^-26 kg is 2.4*10^-14 N.
Calculate the magnetic field strength or flux density in teslas.

Thank you!

Answer 1

As a charged particle passes through a magnetic field it experiences a force perpendicular to its direction of motion.

That is a centripetal force leading to centripetal acceleration v^2/r

so
F = q v B
and
F = m v^2/r
so
q v B = m v^2 / r
and finally
r = m v/(q B)