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A ball of radius R carries a positive c...

A ball of radius `R` carries a positive charge whose volume density depends according only on a separation `r` from the ball's centre as `rho = rho_(0) (1 - r//R)`, where `rho_(0)` is a constant. Asumming the permittivites of the ball and the enviroment 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 `E_(max)` and the corresponding distance `r _(m)`.

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