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
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
ISBN:9781337553292
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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