A long coaxial cable carries a uniform volume charge density p on the inner cylinder (radius a) and a uniform surface charge density on the outer cylindrical shell (radius b). The surface charge is negative and of just the right magni- tude so that the cable as a whole is electrically neutral. Find the electric field, E(s), in each of the three regions: (i) inside the inner cylinder (s < a), (ii) between the cylinders (a < s < b), and (iii) outside the cable (s > b). Sketch E(s) vs. s.

A long coaxial cable carries a uniform volume charge density p on the inner cylinder (radius a) and a uniform surface charge density on the outer cylindrical shell (radius b). The surface charge is negative and of just the right magni- tude so that the cable as a whole is electrically neutral. Find the electric field, E(s), in each of the three regions: (i) inside the inner cylinder (s < a), (ii) between the cylinders (a < s < b), and (iii) outside the cable (s > b). Sketch E(s) vs. s.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 71P: A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner...

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