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. 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 O due to symmetry" will not suffice!)

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. 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 O due to symmetry" will not suffice!)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

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