Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 22, Problem 50P
To determine

The electric field for 0R<a and for R>a .

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The charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs 1.0 m; p(r)= Po(1-4r/3) For r> 1.0 m; p(r)= 0, where r is in meters. What is the value of r in meters for which the electric field is maximum?
A nonconducting solid sphere of radius R has a volume charge density that is proportional to the distance from the center. That is, ρ = Ar for r  R, where A is a constant. (Use the following as necessary: ε0, A, r, and R, as necessary.) (a) Find the total charge on the sphere. (b) Find the expressions for the electric field inside the sphere (r < R) and outside the sphere (r > R).
Charge is distributed throughout a spherical volume of radius R with a density ρ = αr2, where α is a constant. Determine the electric field due to the charge at points both inside and outside the sphere.

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