Problem 24P

For the configuration of Prob. 2.16, find the potential difference between a point on the axis and a point on the outer cylinder. Note that it is not necessary to commit yourself to a particular reference point, if you use Eq. 2.22.

Reference equation 2.22

Reference prob 2.16

long coaxial cable (Fig. 2.26) carries a uniform volume charge density ñ on the inner cylinder (radius a), and a uniform surface charge density on the outer cylindrical shell (radius b). This surface charge is negative and is of just the right magnitude that the cable as a whole is electrically neutral. Find the electric field in each of the three regions: (i) inside the inner cylinder (s < a), (ii) between the cylinders (a < s < b), (iii) outside the cable (s > b). Plot |E| as a function of s.

Reference figure 2.26

Step 1 of 6

For the given cylinder, we are required to calculate the potential difference between a point on the cylinder axis and one on the outer cylinder. Before, we calculate the potential, we shall have to calculate the electric fields at different regions.