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A ball of radius R carries a positive charge whose volume density depends only on a separation r from the ball's centre as ρ = ρ0(1 - r/R), where ρ0 is a constant. Assuming the permittivities of the ball and the environment to be equal to unity, find: (a) the magnitude of the electric field strength as a function of the distance r both inside and outside the ball; (b) the maximum intensity Emax and the corresponding distance rm. |
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