The ball of radius R = 36 cm, has a positive charge, the bulk density of which depends only on the distance r from its center like p = p0 (1 - r / R), where p0 = 354 nC / m ^ 3. Assuming that the dielectric constant of the sphere e = 2, find: a) the charge of the ball b) module of the electric field inside and outside the sphere as a function of the distance r from the center of the sphere. Construct a graph of the field intensity E (r) on the distance r. Calculate the difference in potential between the center of the ball and its surface.

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