An insulating sphere with radius R=3.0 cm has a spherically symmetric but nonuniform volume charge density p(r) (in C/m³). (The charge distribution changes with the distance from the center, r.) Inside the sphere, the electric field is given by E(r) =-(5.0×10³ V/m) î (the field points in the radial direction). a. Find the volume charge distribution p(r) as a function of r.

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 76PQ: A solid sphere of radius R has a spherically symmetrical, nonuniform volume charge density given by...
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An insulating sphere with radius R=3.0 cm has a spherically symmetric but nonuniform volume
charge density p(r) (in C/m³). (The charge distribution changes with the distance from the center,
r.) Inside the sphere, the electric field is given by E(r) =-(5.0×10³ V/m) î (the field points in the
radial direction).
a. Find the volume charge distribution p(r) as a function of r.
Transcribed Image Text:An insulating sphere with radius R=3.0 cm has a spherically symmetric but nonuniform volume charge density p(r) (in C/m³). (The charge distribution changes with the distance from the center, r.) Inside the sphere, the electric field is given by E(r) =-(5.0×10³ V/m) î (the field points in the radial direction). a. Find the volume charge distribution p(r) as a function of r.
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