An infinitely long nonconducting solid cylinder of radius \(R\) has a nonuniform but cylindrically symmetrical charge distribution. The volume charge density is given by \(ho(r)=c / r\), where \(c\) is a positive constant having units \(\mathrm{C} / \mathrm{m}^{2}\) and \(r\) is the radial distance from the long central axis of the cylinder.

(a) What is the charge in a section of the cylinder of length \(\ell\) ? Write an expression for the electric field magnitude for 

(b) r

(c) r>R.