A circular beam of charge of radius a consists of electrons moving with a constant speed u along the +z direction. The beam’s axis is coincident with the z-axis and the electron charge density is given by
ρv = −cr (c/m3),
where c is a constant and r is the radial distance from the axis of the beam.
(a) Determine the charge density per unit length.
(b) Determine the current crossing the z-plane.
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