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A nonuniform, but spherically symmetric, distribution of charge has a charge density p(r) given as follows: p(r) = po(1-r/R) for r < R p(r) = 0 for r > R where po = 3Q/TR³ is a positive constant. Part A

A nonuniform, but spherically symmetric, distribution of charge has a charge density p(r) given as follows: p(r) = po(1-r/R) for r < R p(r) = 0 for r > R where po = 3Q/TR³ is a positive constant. Part A

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
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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 nonuniform, but spherically symmetric, distribution of charge has a charge density p(r) given as follows: p(r) = po (1-r/R) p(r) = 0 where Po = Part A Find the total charge contained in the charge distribution. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part B for r < R for r > R 3Q/TR³ is a positive constant. Obtain an expression for the electric field in the region r > R. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part C Obtain an expression for the electric field in the region r < R. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part D Find the value of r at which the electric field is maximum. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part E Find the value of that maximum field. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants.
Transcribed Image Text:A nonuniform, but spherically symmetric, distribution of charge has a charge density p(r) given as follows: p(r) = po (1-r/R) p(r) = 0 where Po = Part A Find the total charge contained in the charge distribution. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part B for r < R for r > R 3Q/TR³ is a positive constant. Obtain an expression for the electric field in the region r > R. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part C Obtain an expression for the electric field in the region r < R. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part D Find the value of r at which the electric field is maximum. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part E Find the value of that maximum field. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants.
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