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A non-conducting solid cylinder of radius, R and length, L has a charge of +3Q uniformly distributed throughout it. The Gaussian cylinder has length h, radius r, and the same center line as the charged cylinder. H Qend Find the volume charge density, p, of the charged cylinder. Find an equation for Qenel for r < R. Your equation should involve p and one or more of h, r, and R. Find an equation for Qenel for r>R. Your equation should involve p and one or more of h, r, and R. Find the amount of charge enclosed in a Gaussian cylinder of radius r = 0, r = R/2, r = R, and r = 2R. Plot the four values of enclosed charge calculated above versus the radius of the Gaussian cylinder. Then plot the equations found in parts 2. and 3 as a smooth line.

A non-conducting solid cylinder of radius, R and length, L has a charge of +3Q uniformly distributed throughout it. The Gaussian cylinder has length h, radius r, and the same center line as the charged cylinder. H Qend Find the volume charge density, p, of the charged cylinder. Find an equation for Qenel for r < R. Your equation should involve p and one or more of h, r, and R. Find an equation for Qenel for r>R. Your equation should involve p and one or more of h, r, and R. Find the amount of charge enclosed in a Gaussian cylinder of radius r = 0, r = R/2, r = R, and r = 2R. Plot the four values of enclosed charge calculated above versus the radius of the Gaussian cylinder. Then plot the equations found in parts 2. and 3 as a smooth line.

College Physics
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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A non-conducting solid cylinder of radius, R and length, L has a charge of +3Q uniformly distributed throughout it. The Gaussian cylinder has length h, radius r, and the same center line as the charged cylinder. H Qend Find the volume charge density, p, of the charged cylinder. Find an equation for Qencl for r ≤R. Your equation should involve p and one or more of h, r, and R. Find an equation for Qendl for r2 R. Your equation should involve p and one or more of h, r, and R. Find the amount of charge enclosed in a Gaussian cylinder of radius r = 0, r= R/2, r = R, and r = 2R. Plot the four values of enclosed charge calculated above versus the radius of the Gaussian cylinder. Then plot the equations found in parts 2. and 3 as a smooth line.
Transcribed Image Text:A non-conducting solid cylinder of radius, R and length, L has a charge of +3Q uniformly distributed throughout it. The Gaussian cylinder has length h, radius r, and the same center line as the charged cylinder. H Qend Find the volume charge density, p, of the charged cylinder. Find an equation for Qencl for r ≤R. Your equation should involve p and one or more of h, r, and R. Find an equation for Qendl for r2 R. Your equation should involve p and one or more of h, r, and R. Find the amount of charge enclosed in a Gaussian cylinder of radius r = 0, r= R/2, r = R, and r = 2R. Plot the four values of enclosed charge calculated above versus the radius of the Gaussian cylinder. Then plot the equations found in parts 2. and 3 as a smooth line.
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