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An infinitely long insulating cylinder of radius R=1.2m has a volume charge density that varies with the radius as: p(r) = Po (a - r/b) , where po=36nC/m³, a=5 and b=4 %3D are constants, and r is the distance from the axis of the cylinder. Use Gauss' law to determine the magnitude of the electric field at r=0.4m. Take the electric constant to be ke = 8.99×10° Nm2/C2. Give your answer in N/C to the nearest 0.01N/C.

An infinitely long insulating cylinder of radius R=1.2m has a volume charge density that varies with the radius as: p(r) = Po (a - r/b) , where po=36nC/m³, a=5 and b=4 %3D are constants, and r is the distance from the axis of the cylinder. Use Gauss' law to determine the magnitude of the electric field at r=0.4m. Take the electric constant to be ke = 8.99×10° Nm2/C2. Give your answer in N/C to the nearest 0.01N/C.

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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An infinitely long insulating cylinder of radius R=1.2m has a volume charge density that varies with the radius as: p(r) = Po (a - r/b) , where Po=36nC/m³, a=5 and b=4 %3D are constants, and r is the distance from the axis of the cylinder. Use Gauss' law to determine the magnitude of the electric field at r=0.4m. Take the electric constant to be ke = 8.99x10° Nm2/C2. Give your answer in N/C to the nearest 0.01N/C. In addition to entering your final numerical answer into the box, solve this problem in detail on paper. Make sure that you write your solution neatly, starting with the clear diagram and all variables on it. Make short comments/ arguments for all cancelations that you are claiming to be happening. (Explain what you are doing and why-- simply stating "it is 0 due to symmetry" will not suffice!)
Transcribed Image Text:An infinitely long insulating cylinder of radius R=1.2m has a volume charge density that varies with the radius as: p(r) = Po (a - r/b) , where Po=36nC/m³, a=5 and b=4 %3D are constants, and r is the distance from the axis of the cylinder. Use Gauss' law to determine the magnitude of the electric field at r=0.4m. Take the electric constant to be ke = 8.99x10° Nm2/C2. Give your answer in N/C to the nearest 0.01N/C. In addition to entering your final numerical answer into the box, solve this problem in detail on paper. Make sure that you write your solution neatly, starting with the clear diagram and all variables on it. Make short comments/ arguments for all cancelations that you are claiming to be happening. (Explain what you are doing and why-- simply stating "it is 0 due to symmetry" will not suffice!)
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