Chapter 22, Problem 33P

(II) A long cylindrical shell of radius R₀ and length ℓ $(R_0\ll \mathcal{l})$ possesses a uniform surface charge density (charge per unit area) σ (Fig. 22–33). Determine the electric field at points (a) outside the cylinder (R > R₀) and (b) inside the cylinder (0 < R < R₀); assume the points are far from the ends und not too far from the shell $(R\ll \mathcal{l})$. (c) Compare to the result for a long line of charge, Example 22–6. Neglect the thickness of shell.

FIGURE 22-33

Problem 33.