1. A solid ball of charged material with radius (R) carries a volume charge density of pe) = 4 for r R. Find the electric field everywhere. 2. A certain infinitely long wire carries a linear charge density (A). A charged infinitely long cylindrical shell surrounds the wire co-axially. The cylindrical shell has a radius of (R) and a surface charge density of a Find the electric field vector everywhere. 2nR 3. a) A hollow sphere with surface charge density o, and radius ri sits nested inside a second sphere with radius ra > . What surface charge density oz must the outer shell have in order for the magnitude of the electric field outside of the outer shell to be zero? b) Given this value of a, what is the electric field between the spheres? 4. An electric field with a magnitude of (E) is measured a distance (d) away from the surface of a hollow shell of charge. The shell has a raditus of (R). In the absence of any other objects, find the electric field vector everywhere.

1. A solid ball of charged material with radius (R) carries a volume charge density of pe) = 4 for r R. Find the electric field everywhere. 2. A certain infinitely long wire carries a linear charge density (A). A charged infinitely long cylindrical shell surrounds the wire co-axially. The cylindrical shell has a radius of (R) and a surface charge density of a Find the electric field vector everywhere. 2nR 3. a) A hollow sphere with surface charge density o, and radius ri sits nested inside a second sphere with radius ra > . What surface charge density oz must the outer shell have in order for the magnitude of the electric field outside of the outer shell to be zero? b) Given this value of a, what is the electric field between the spheres? 4. An electric field with a magnitude of (E) is measured a distance (d) away from the surface of a hollow shell of charge. The shell has a raditus of (R). In the absence of any other objects, find the electric field vector everywhere.