4. A solid, insulating sphere of radius R has a nonuniform charge density p=ar and a total charge +2Q (a positive constant and r radial distance from origin). Concentric with this sphere is a charged (+4Q), conducting shell sphere whose inner and outer radii are 2R and 3R, as shown in the figure. a) Find a constant in terms of Q and R. Find the magnitude of the electric field in the regions in terms of k, Q, r and R. +4Q +2Q p=ar b) r3R R 3R 2R

Physics for Scientists and Engineers with Modern Physics
10th Edition
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Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Continuous Charge Distributions And Gauss's Law
Section: Chapter Questions
Problem 51CP: A solid insulating sphere of radius R has a nonuniform charge density that varies with r according...
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4. A solid, insulating sphere of radius R has a nonuniform charge density p=ar and a total charge +2Q
(a positive constant and r radial distance from origin). Concentric with this sphere is a charged (+4Q),
conducting shell sphere whose inner and outer radii are 2R and 3R,
as shown in the figure.
a) Find a constant in terms of Q and R.
Find the magnitude of the electric field in the regions in terms of k,
Q, r and R.
+4Q
+2Q
p=ar
b) r<R
c) R<r<2R
d) 2R<r<3R
е) г>3R
R
3R
2R
Transcribed Image Text:4. A solid, insulating sphere of radius R has a nonuniform charge density p=ar and a total charge +2Q (a positive constant and r radial distance from origin). Concentric with this sphere is a charged (+4Q), conducting shell sphere whose inner and outer radii are 2R and 3R, as shown in the figure. a) Find a constant in terms of Q and R. Find the magnitude of the electric field in the regions in terms of k, Q, r and R. +4Q +2Q p=ar b) r<R c) R<r<2R d) 2R<r<3R е) г>3R R 3R 2R
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