A very long, uniformly charged cylinder has radius R and volume chargedensity p.(a) Draw the electric field lines of this situation assumingthe charge density is negative. How can we use the factthat the cylinder is very long to solve the problem?(b) Draw an appropriate Gaussian surface that you canuse to find the electric field at any distance r> R. Whatis the electric flux through the flat parts of the Gaussiansurface? How much charge is inside the Gaussiansurface? What is the Electric field?R(c) Draw an appropriate Gaussian surface that you canuse to find the electric field at any distance r < R. Howmuch charge is inside the Gaussian surface? What isthe Electric field?(d) Check that the two expressions give the same answerfor points at the surface of the cylinder(e) Plot the Electric field as a function of distance r from theaxis of the cylinder.

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Answered: A very long, uniformly charged cylinder…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...

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