A ball of radius `R` carries  a positive charge whose volume density depends  according  only on a s
Channel: Doubtnut
Date: 2020-08-23

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)`.