- 1 A Hollow Cylindrical Shell Has Radii A S B And Carries A Non Uniform Volume Charge Density 0 0 S A P R A 1 (32.91 KiB) Viewed 70 times
{ 1. A hollow cylindrical shell has radii a < s <b and carries a non-uniform volume charge density 0. 0 <s<a, p(r) = { A/s, a <s<b. 0. 8 >b, where A is a positive constant. The cylinder has length L > b, so we can ignore the flat portions of its surface. The cylinder carries total charge Q and has charge per unit length. (a) Find and expression for A in terms of .. (b) Calculate the electric field in the regions 0 <s<a, ass<b, and s > b. Is the electric field continuous at s = a and s = b? Should it be? (c) Calculate the potential using V (F) = --- , JË. Ë.di, taking the reference point 0 = 25. (d) Using your result from part (c), calculate the electric field via Ē = -VV. Does the result agree with your answer from part (b)?