A spherical ball of charged particles has a uniform charge density. In terms of the ball’s radius R, at what radial distances (a) inside and (b) outside the ball is the magnitude of the ball’s electric field equal to of the maximum magnitude of that field?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter25: Gauss’s Law
Section: Chapter Questions
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A spherical ball of charged particles has a uniform charge
density. In terms of the ball’s radius R, at what radial distances
(a) inside and (b) outside the ball is the magnitude of the ball’s
electric field equal to of the maximum magnitude of that field?

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