Cyclotron
Cyclotron is a device used to accelerate positively charged particles such as proton , deuteron etc .
Principle of Cyclotron
A positively charged particle can be accelerated through a modera . electric field by crossing it again and again by use of strong magnetic field .
Radius of circular path , r = mv / Bq Cyclotron frequency v = Bq / 2πm
where m and q are mass and charge of the positive ion and B is strength of the magnetic field .
Maximum kinetic energy gained by the particle . E max = B 2 q 2 r 2 o / 2m where , r o = maximum radius of circular path .
When a positive ion is accelerated by the cyclotron , it moves with greater and greater speed . As the speed of ion becomes comparable with that of light , the mass of the ion increases according to the relation .