Question 4: Cylinders [Gauss' Law] A small, solid, conducting cylinder with radius R. = 0.07000 m and excess charge A1 =-7.000 uC/cm is centrally located in the middle of a thick, conducting, cylindrical shell. The shell has an inner radius Ro = 0.4000 m and outer radius Rc = 0.5000 m and excess charge of 12 = +12.00 uC/cm. Use Gauss' Law to find: A) the magnitude of E outside the cylindrical shell (let r = 0.6000 m) B) the magnitude of E within the metal of the cylindrical shell (let r = 0.4500 m) C) the magnitude of E in between the shell and the cylinder (let r = 0.2000 m) D) the magnitude of E within the metal of the central cylinder (let r = 0.02000 m) E) Finally, find the induced linear charge densities on the inner and outer surfaces of the cylindrical shell. * 2