(Solved): 5) [4 pts] A very long coaxial cable has a uniform volume charge density \( \rho \) throughout a s ...

5) [4 pts] A very long coaxial cable has a uniform volume charge density \( \rho \) throughout a solid inner cylinder (radius a) and a uniform surface charge density \( \sigma \) on the outer cylinder (radius \( b \) ). The cable is electrically neutral overall. a.) \( [3 \) pts \( ] \) Find \( \mathbf{E} \) everywhere in space. b.) \( [1 \mathrm{pt}] \) Sketch it.