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

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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
Transcribed Image Text: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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