Consider a non-uniformly charged insulating hollow sphere with inner radius a and outer radius b. The volume charge density of the hollow sphere is given by p(r) = Por, where po is a positive constant. Anywhere else, the charge distribution is zero. What is the magnitude of the electric field at a distance r from the center of the sphere, where a

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 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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Consider a non-uniformly charged insulating hollow sphere with inner radius a and outer radius b. The volume charge density
of the hollow sphere is given by p(r) = por, where po is a positive constant. Anywhere else, the charge distribution is zero. What is the
magnitude of the electric field at a distance from the center of the sphere, where a < <b? Hint: Q = {p(r) dv.
Hollow Sphere
OA. Po
b
O C.
OB. Po
2€0
OD.
260
(₁
-(~² - a²)
Po
Peco (~² - 2/1)
4€0
p(r)
-(~² - 2*)
460
a
Transcribed Image Text:Consider a non-uniformly charged insulating hollow sphere with inner radius a and outer radius b. The volume charge density of the hollow sphere is given by p(r) = por, where po is a positive constant. Anywhere else, the charge distribution is zero. What is the magnitude of the electric field at a distance from the center of the sphere, where a < <b? Hint: Q = {p(r) dv. Hollow Sphere OA. Po b O C. OB. Po 2€0 OD. 260 (₁ -(~² - a²) Po Peco (~² - 2/1) 4€0 p(r) -(~² - 2*) 460 a
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