4. A charged sphere has radius ag. The charge density is Po a)orr s Ro where r is the distanee from the center of the sphere. What p= !! forr> tg is the total charge carried by the sphere? Using Gauss' law (Gauss' dielectric flux theorem), find the electric field inside the sphere as a function of r. 5. An infinitely long charged cylinder has radius R and uniform charge density p. Use Causs's dielectric flux theoremm to caleulate the electric field inside the cylinder, at a distance r