The force felt by a charged particle due to a magnetic field

Acts perpendicular to the velocity of a particle, Acts as a centripetal force

Due to the Lorentz force

(Mass × Velocity) / (Charge × Magnetic Field Strength)

By equating the formulae for centripetal force and magnetic force

A device used to accelerate particles

It is made up of two semi-circular plates (called dees), separated by a gap with a potential difference across it, A uniform magnetic field is applied that is perpendicular to the dees - vertically upwards assuming the dees are flat, High frequency alternating voltage in the electrodes (dees) that produces an electric field

Charged particles follow circular path in the plates due to the force provided by the magnetic field (which is perpendicular to the dees), Every half rotation, the particle reaches the gap, The electric field in the gap accelerates the particle towards the oppositely charged plate, The negative and positive terminal then switch so that the particle can be accelerated when it next reaches the gap , This increases the velocity but the radius of the circle it travels in also increases after each rotation, keeping the time in each dee constant, The particle spirals out of the machine at high speed