Kenny is a student in engineering physics, he wants to study about the infinite long cable that has an insulating cylinder with radius a with uniform charge volume density 2p surrounded by a uniform conducting material with outer radius of 2a and zero total charge, as he drawn in Figure Q1.1. Ⓒ 2a Figure Q1.1 a) Using Gauss's law, find the electric field inside the insulating cylinder. Draw a Gaussian surface and indicate your choice of a coordinate system. b) Find the inner and outer charge surface density of the conducting cylinder, din and Tout. c) Determine the work required to move a charge qo from r;= 4a to rf = 1.57a where r is the distance from the cylindrical axis.

Kenny is a student in engineering physics, he wants to study about the infinite long cable that has an insulating cylinder with radius a with uniform charge volume density 2p surrounded by a uniform conducting material with outer radius of 2a and zero total charge, as he drawn in Figure Q1.1. Ⓒ 2a Figure Q1.1 a) Using Gauss's law, find the electric field inside the insulating cylinder. Draw a Gaussian surface and indicate your choice of a coordinate system. b) Find the inner and outer charge surface density of the conducting cylinder, din and Tout. c) Determine the work required to move a charge qo from r;= 4a to rf = 1.57a where r is the distance from the cylindrical axis.