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A shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R)    for r ≤ R, where ρ0 = 18.5 μC/m3. a. What is the total charge on the sphere? b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere? c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere?

A shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R)    for r ≤ R, where ρ0 = 18.5 μC/m3. a. What is the total charge on the sphere? b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere? c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere?

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 shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R)    for r ≤ R, where ρ0 = 18.5 μC/m3.

a. What is the total charge on the sphere?

b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere?

c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere?

d. Graph the electric field as a function of r between r = 0 and r =0.4025 m.

Spherical Gaussian Surface dr R r R r
Transcribed Image Text:Spherical Gaussian Surface dr R r R r
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