A homogeneous proton beam accelerated by a potential difference V = 600 kV has a round cross-section of radius r = 5.0 mm. Find the electric field strength on the surface of the beam and the potential difference between the surface and the axis of the beam if the beam current is equal to I = 50 mA.
From Gauss theorem field strength at a surface of a cylindrical shape equals where λ is the linear charge density.
(b) For the point, inside the solid charged cylinder, applying Gauss’ theorem,
where λ is the linear charge density.
