draw how the charged conducting shell redistributes the total charge -3Q across the inner and outer surfaces - solve for the electric field at all regions

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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- draw how the charged conducting shell redistributes the total charge -3Q across the inner and outer surfaces

- solve for the electric field at all regions

22.46 A conducting spherical shell with inner
radius a and outer radius b has a positive point
charge Q located at its center. The total charge on
the shell is -3Q, and it is insulated from its sur-
roundings (Fig. P22.46). (a) Derive expressions
for the electric-field magnitude in terms of the
distance from the center for the regions r < a,
a<r<b, and r> b. (b) What is the surface
charge density on the inner surface of the conducting shell?
(c) What is the surface charge density on the outer surface of the con-
ducting shell? (d) Sketch the electric field lines and the location of all
charges. (e) Graph the electric-field magnitude as a function of r.
Figure
P22.46
b
-30
Transcribed Image Text:22.46 A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is -3Q, and it is insulated from its sur- roundings (Fig. P22.46). (a) Derive expressions for the electric-field magnitude in terms of the distance from the center for the regions r < a, a<r<b, and r> b. (b) What is the surface charge density on the inner surface of the conducting shell? (c) What is the surface charge density on the outer surface of the con- ducting shell? (d) Sketch the electric field lines and the location of all charges. (e) Graph the electric-field magnitude as a function of r. Figure P22.46 b -30
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