Consider a coaxial pair of infinitely long charged solid conductors. The inner conductor has a radius R, while the outer conductor has an inner radius 2R and an outer radius 3R.
The inner conductor has a linear charge density 2λ, while the outer conductor has a net linear charge density of -3λ.
A) Using Gauss’ law and the properties of conductors, what are the linear charge densities on the inner and outer surfaces of the outer conductor.
B) Use Gauss’ law to find an expression for the electric field as a function of radius for all four regions.
A) By definition linear charge density is Q/L. So for the inner conductor with 2λ I want to say it is 2Q/infinity but this cannot be right. Im sure using Guass's law produces a correct answer but I cannot see anyway to relate it to λ or length of the conductors for that matter
B) For this part I would assume you have to setup two integrals, one for the field produced by the inner conductor and for the outer conductor? Im thinking that dA would relate to cross sectional area of the conductors and not a differential square on the surface?