This is for a calculous based physics course.
Here,a) r < a,Using Gauss's Law,int vec(E)*d vec(a)=(Q_(enc))/(epsi_(0))=0b) Using Gauss's law, (a < r < b){:[int vec(E)*d vec(a)=(" Qenc ")/(epsi_(0))],[4pir^(2)E=(1)/(epsi_(0))int_(a)^(r)rho dv=(1)/(epsi_(0)):int_(a)^(gamma)rho4pir^(2)d gamma],[=(s)/(epsi_(0))(4pi)/(3)[r^(3)-a^(3)]],[(4pir^(2))E=(rho+pi)/(3epsi_(0))[r ... See the full answer