A spherically symmetrical load distribution, however not uniform, has a density ρ(r) given by: ρ(r) = ρ0(1-r/R), for r≤R, 0, for r≤R where ρ0 = 3Q/πR3 it is a positive constant. (a) Show that the total load contained in the distribution is equal to Q. (b) Show that the electric field in the region r≥R is identical to the electrical component produced by a point charge Q, located at r = 0. (c) Obtain an expression for the electric field in region r≤R. (d) Graph the electric field module E as a function of r.
A spherically symmetrical load distribution, however not uniform, has a density ρ(r) given by: ρ(r) = ρ0(1-r/R), for r≤R, 0, for r≤R where ρ0 = 3Q/πR3 it is a positive constant. (a) Show that the total load contained in the distribution is equal to Q. (b) Show that the electric field in the region r≥R is identical to the electrical component produced by a point charge Q, located at r = 0. (c) Obtain an expression for the electric field in region r≤R. (d) Graph the electric field module E as a function of r.
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 spherically symmetrical load distribution, however not uniform, has a density ρ(r) given by:
ρ(r) = ρ0(1-r/R), for r≤R,
0, for r≤R
where ρ0 = 3Q/πR3 it is a positive constant.
(a) Show that the total load contained in the distribution is equal to Q.
(b) Show that the electric field in the region r≥R is identical to the electrical component produced by a point charge Q, located at r = 0.
(c) Obtain an expression for the electric field in region r≤R.
(d) Graph the electric field module E as a function of r.
(e) Find the value of r for which the electric field reaches its maximum value and calculate the vapor of that maximum field.
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