A nonuniform, but spherically symmetric, distribution of charge has a charge density P(r) given as follows: 4r p(r) = Po (1 - 3R) for r < R P(r) = 0 for r > R where Po is a positive constant. a. Find the total charge contained in the charge distribution. b. Obtain an expression for the electric field in the region r 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 80PQ: A sphere with radius R has a charge density given by = cr3. Use Gausss law to find an expression...
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2. A nonuniform, but spherically symmetric, distribution of charge has a charge density
p(r) given as follows:
p(r) = Po (1 – )
for r<R
P(r) = 0
where po is a positive constant.
for r > R
a. Find the total charge contained in the charge distribution.
b. Obtain an expression for the electric field in the region r< R, and r > R.
Transcribed Image Text:2. A nonuniform, but spherically symmetric, distribution of charge has a charge density p(r) given as follows: p(r) = Po (1 – ) for r<R P(r) = 0 where po is a positive constant. for r > R a. Find the total charge contained in the charge distribution. b. Obtain an expression for the electric field in the region r< R, and r > R.
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