Chapter 2.2, Problem 2.16P

A long coaxial cable (Fig. 2.26) carries a uniform volume chargedensity $\rho$ on the inner cylinder (radius a), and a uniform surface charge density onthe outer cylindrical shell (radius b). This surface charge is negative and is of justthe right magnitude that the cable as a whole is electrically neutral. Find the electricfield in each of the three regions: (i) inside the inner cylinder $\left(s<a\right)$ . (ii) betweenthe cylinders $\left(a<s<b\right)$ . (iii) outside the cable $\left(s>b\right)$ . Plot $\left|\text{E}\right|$ as a function of s.