Question

Top view Hydrogen lons

A device producing a beam of spin polarized protons for use in nuclear research, called Polarized Ion Source, has an internal component called a spherical deflector. The deflector is composed of two sections of spheres that face each other as capacitor plates. Each section forms a quarter arc and as negatively charged hydrogen ions pass through this region their path is deflected in a circular arc by 90 °.

Hydrogen enters this region at a speed v₀= 3.1 * 10⁶ m/s. The path of the hydrogen between the plates is a circle of radius 30 cm. The inner plate is cut from a sphere of radius 28 cm, while the outer plate is cut from a sphere of radius 32 cm. Assume no fringing effects at the edges and determine the potential difference needed between the plates to accomplish this design goal. Hint: Make the hydrogen orbit between two charged spheres of these dimensions.

Answer 1