Question

A cyclotron is operating with a flux density of 3 Wb/m² . The ion which enters the field is a proton having mass 1.67 × 10^–27 kg. If the maximum radius of the orbit of the particle is 0.5m, find :

(a) the maximum velocity of the proton, 

(b) the kinetic energy of the particle, and 

(c) the period for a half cycle.

Answer 1

(a) A sin case of motion of a charged paricle in a magnetic field,

(c) In case of circular motion, as

So, time for helf cycle,