P 3.1

a) Q = 8 ext{π} ho_0 R

b) ~E(r) =

{

ho_0
rac{15R^2	ext{ε}_0}{(5R^2r - 3r^3)	extbf{r}} 	ext{ for } r 	ext{ ≤ } R
rac{2
ho_0 R^3}{15	ext{ε}_0 r^2} 	extbf{r} 	ext{ for } r > R
}

c) V (r) =

{
rac{2
ho_0 R^2}{15	ext{ε}_0} - rac{
ho_0(r^2-R^2)}{15	ext{ε}_0 R^2} (7R^2-3r^2) 	ext{ for } r 	ext{ ≤ } R
rac{2
ho_0 R^3}{15	ext{ε}_0 r} 	ext{ for } r > R
}