Question

(a) Suppose the electric field (in spherical coordinates) is found to be kraf, for r a where k and a are some constants.
i. Find the volume charge density p everywhere in space.
ii. Use Gauss's Law to find the total charge contained in a sphere of radius R > a, centred at the origin.
iii. Check your answer to (ii) by integrating the charge density found in (i)