Problem 3 Let's say that you have a thick spherical conducting shell with inner radius a and outer radius b. Within the center of the shell, we place a single point charge with charge q. a) Using Gauss's law, what is the electric field for r b, we are no longer in the conductor. We also know that the net charge of the conductor is 0. What is the electric field outside of the spherical shell? what is the charge distribution when r=b?
Problem 3 Let's say that you have a thick spherical conducting shell with inner radius a and outer radius b. Within the center of the shell, we place a single point charge with charge q. a) Using Gauss's law, what is the electric field for r b, we are no longer in the conductor. We also know that the net charge of the conductor is 0. What is the electric field outside of the spherical shell? what is the charge distribution when r=b?
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Transcribed Image Text:Problem 3
Let's say that you have a thick spherical conducting shell with inner radius a and outer radius b. Within
the center of the shell, we place a single point charge with charge q.
a) Using Gauss's law, what is the electric field for r <a?
b) Knowing that the electric field must vanish in conductors, what is the electric field when a <r<b?
What is the charge distribution when r=a? Explain why the E field in conductors is 0.
c) When r>b, we are no longer in the conductor. We also know that the net charge of the conductor is 0.
What is the electric field outside of the spherical shell? what is the charge distribution when r=b?
e) Does having the conducting shell affect the E field produced by the point charge when r> b? Explain
why or why not in terms of Gauss's law.
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