A solid cylinder with cylindrical cavity (Object B in Fig. 1) contains a rod (Object A in Fig. 1) in it's cylindrical axis. The total charge on the rod is q' = 23 µC while the total charge on the cylinder with cavity is q = 14 µC. The cross section of this system is shown in Fig. 1b. Note : Length of the rod and the cylinder is the same. But little longer length of the rod is shown only to ease the understanding of their positions. a) Find the total amount of charge (with sign) on the inner and outer surface of the cylinder (Fig. 1). And justify your answer. amount of charge on the inner surface Give your answer up to at least three significance digits. amount of charge on the outer surface Give your answer up to at least three significance digits. C la E b) Now we take an uncharged conducting cylindrical shell (E) of inner radius ra = 32 cm and outer radius r, = 37 cm (Fig. 2). We now enclose our first charged cylinder (B) with cavity with this new cylindrical shell (E). Calculate the inner surface charge density of the cylindrical shell (E) and briefly explain your answer. Assume that there are no charges on either sides of the cylinder (shaded circle). The cross section of this system is shown in Fig. 2b. Note : Length of the rod and the cylinder is the same and equal to 340 cm. inner surface charge density Give your answer up to at least three significance digits.

A solid cylinder with cylindrical cavity (Object B in Fig. 1) contains a rod (Object A in Fig. 1) in it's cylindrical axis. The total charge on the rod is q' = 23 µC while the total charge on the cylinder with cavity is q = 14 µC. The cross section of this system is shown in Fig. 1b. Note : Length of the rod and the cylinder is the same. But little longer length of the rod is shown only to ease the understanding of their positions. a) Find the total amount of charge (with sign) on the inner and outer surface of the cylinder (Fig. 1). And justify your answer. amount of charge on the inner surface Give your answer up to at least three significance digits. amount of charge on the outer surface Give your answer up to at least three significance digits. C la E b) Now we take an uncharged conducting cylindrical shell (E) of inner radius ra = 32 cm and outer radius r, = 37 cm (Fig. 2). We now enclose our first charged cylinder (B) with cavity with this new cylindrical shell (E). Calculate the inner surface charge density of the cylindrical shell (E) and briefly explain your answer. Assume that there are no charges on either sides of the cylinder (shaded circle). The cross section of this system is shown in Fig. 2b. Note : Length of the rod and the cylinder is the same and equal to 340 cm. inner surface charge density Give your answer up to at least three significance digits.