54.A solid, insulating sphere of radius a has a uniform GP charge density throuhu ts volume and a total charge QConcentric with this sphere is ucharged. con- ducting, hollow sphere whose inner and outer radii are band cas shown in Figure P24.54 (page 744). We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r< a(From his value, find the mag nitude of the electric field for r< a. (c) what charge is contained witi a sphere of radius r when a (d) From this value, find the magnitude of the elec- tric field for rwhena

54.A solid, insulating sphere of radius a has a uniform GP charge density throuhu ts volume and a total charge QConcentric with this sphere is ucharged. con- ducting, hollow sphere whose inner and outer radii are band cas shown in Figure P24.54 (page 744). We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r< a(From his value, find the mag nitude of the electric field for r< a. (c) what charge is contained witi a sphere of radius r when a (d) From this value, find the magnitude of the elec- tric field for rwhena

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

54.A solid, insulating sphere of radius a has a uniform
GP charge density throuhu ts volume and a total charge
QConcentric with this sphere is ucharged. con-
ducting, hollow sphere whose inner and outer radii are
band cas shown in Figure P24.54 (page 744). We wish to
understand completely the charges and electric fields
at all locations. (a) Find the charge contained within a
sphere of radius r< a(From his value, find the mag
nitude of the electric field for r< a. (c) what charge is
contained witi a sphere of radius r when a
(d) From this value, find the magnitude of the elec-
tric field for rwhena<r<b. (e) Now consider rwhen
b < r < . What is the magnitude ofthe electricfield for
this range of values of?( From this value, what must
be the charge on the inner surface of the hollow sphere?
(g) From paD. what
must be the charge on
the outer surface of the
hollow sphere? (h) Con
sider the three spheri-
cal surfaces of radii a,
b, and .Which of these
surfaces has the largest
magnitude of surface
charge density
Insulator
Conductor
Figure P24.54
Problems 54,55, and 57

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