5. The current density in a particle beam with circular cross section of radius a points along the beam axis with a magnitude that decreases lincarly with Jo at the center r = 0 to half that value at the edge r = a. (a) Find a lincar function J (r) that describes the particle beam. (b) Find an expression for the total currcnt in the beam.

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5. The current density in a particle beam with circular cross section of radius a points
along the beam axis with a magnitude that decreases lincarly with Jo at the center
r = 0 to half that value at the edge r = a.
(a) Find a lincar function J (r) that describes the particle beam.
(b) Find an expression for the total current in the beam.
Transcribed Image Text:5. The current density in a particle beam with circular cross section of radius a points along the beam axis with a magnitude that decreases lincarly with Jo at the center r = 0 to half that value at the edge r = a. (a) Find a lincar function J (r) that describes the particle beam. (b) Find an expression for the total current in the beam.
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