A long coaxial cable carries a uniform volume charge density p on the solid inner cylinder (with radius a) and a uniform surface charge density o on the outer cylindrical shell (at radius b). The volume charge density of the inner cylinder is positive, and the surface charge density of the outer shell is negative, and of just the right magnitude such that the entire cable is electrically neutral (has no net charge – one common way coaxial cables are used). a) Find the electric field in each of the following regions: Inside the inner cylinder (r< a) Between the two cylinders (a b) i. i. ii. Your answers should be in terms of the variables given, and fundamental constants. b) Plot the magnitude of electric field |E| as a function of r

A long coaxial cable carries a uniform volume charge density p on the solid inner cylinder (with radius a) and a uniform surface charge density o on the outer cylindrical shell (at radius b). The volume charge density of the inner cylinder is positive, and the surface charge density of the outer shell is negative, and of just the right magnitude such that the entire cable is electrically neutral (has no net charge – one common way coaxial cables are used). a) Find the electric field in each of the following regions: Inside the inner cylinder (r< a) Between the two cylinders (a b) i. i. ii. Your answers should be in terms of the variables given, and fundamental constants. b) Plot the magnitude of electric field |E| as a function of r