V.
Charge is distributed throughout a sphere of radius R with a constant charge density given by
$\rho = \rho_0$ for $r < a$, and a variable distribution $\rho = \rho_0(r-R)/(a-R)$ for $a < r < R$, and $\rho = 0$ for
$r > R$, as shown in the graph below. Calculate the flux through the spherical surfaces at $r = a$,
$r = R$, and $r = 12R$, and calculate the corresponding electric fields.
S(r)
$S_0$
0
r=a
r=R
