Insulator Conductor R 2R 3R A solid, insulating sphere of radius R has a uniform charge density with a total charge of +2Q. A conducting hollow sphere, whose inner and outer radii are 2R and 3R is concentric with this sphere as shown in the figure. If the net charge of the conductor is -Q, a) Find the magnitude of the electric field in the regions (r < R), (R< r < 2R), (2R < r < 3R) and (r> 3R). 3.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter6: Gauss's Law
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Problem 65P: A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit...
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Insulator
Conductor
R
2R
3R
A solid, insulating sphere of radius R has a uniform
charge density with a total charge of +2Q. A
conducting hollow sphere, whose inner and outer radii
are 2R and 3R is concentric with this sphere as shown
in the figure. If the net charge of the conductor is -Q,
a) Find the magnitude of the electric field in
the regions (r < R), (R< r < 2R), (2R < r < 3R) and
(r> 3R).
b) Plot a graph of the magnitude of the electric-field
as a function of r.
c) Find the induced charge per unit area on the inner
and outer surfaces of the hollow sphere.
3.
Transcribed Image Text:Insulator Conductor R 2R 3R A solid, insulating sphere of radius R has a uniform charge density with a total charge of +2Q. A conducting hollow sphere, whose inner and outer radii are 2R and 3R is concentric with this sphere as shown in the figure. If the net charge of the conductor is -Q, a) Find the magnitude of the electric field in the regions (r < R), (R< r < 2R), (2R < r < 3R) and (r> 3R). b) Plot a graph of the magnitude of the electric-field as a function of r. c) Find the induced charge per unit area on the inner and outer surfaces of the hollow sphere. 3.
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ISBN:
9781938168161
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OpenStax