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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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

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