a) A linear charge density  = 4z C/m is distributed on the z axis, what is the total charge within a cylinder of radius r = 0.5 m and height h = 5 m which extends from z = 1 to z = 4?

b) A uniform surface charge s = 3 C/m2 is distributed on the xz plane, what is the total charge within a cylinder of r = 2 m and length h = 4 whose axis of symmetry lies on the y axis?

c) A uniform surface charge s = 3 C/m2 is distributed on the xz plane, what is the total charge within a cylinder of r = 2 m and length h = 4 whose axis of symmetry lies on the z axis?

d) A uniform surface charge s = 2 C/m2 is distributed on the surface of an infinite cylinder (r = 2 m) centered on the z-axis. What is the total charge on the cylinder between z = 2 and z = 2 m? What is the effective linear charge density of the cylinder, in C/m?

e) A uniform surface charge s = 2 C/m2 is distributed on the surface of a sphere (r = 2 m) centered on the origin. What is the total charge on the portion of the sphere in the z > 0 halfspace?

f) Calculate the total charge in a slab of thickness d = 2m, side lengths Lx = Ly = 4m, centered on the origin, with a volumetric charge density = z 1 C/m3 .

g) Calculate the total charge in a sphere of radius r = 2m and volumetric charge density = r 1/r C/m3 .

h) Calculate the total charge in a cylinder of height L = 5m, radius r = 1m and volumetric charge density = r 1/r C/m3 .