The top view is shown for a solid conducting cylinder of length L, which is very long, and of radius R. this cylinder carries a positive charge Q and is concentric with a thin non-conducting cylindrical shell at the radius 2R that carries charge Q'. The charge Q' is distributed uniformly inside the non-conducting cylindrical shell. In terms of R and Q, and using the Gauss law: a) What is the electric field for r < R? b) Find the electric field for R 2R. 2R R

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Chapter1: Units, Trigonometry. And Vectors
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The top view is shown for a solid conducting cylinder of length L, which is very long, and of radius R. this
cylinder carries a positive charge Q and is concentric with a thin non-conducting cylindrical shell at the
radius 2R that carries charge Q'. The charge Q' is distributed uniformly inside the non-conducting cylindrical
shell. In terms of R and Q, and using the Gauss law:
What is the electric field for r < R?
b) Find the electric field for R<r<2R.
c) Find the electric filed for r> 2R.
2R
R
Transcribed Image Text:The top view is shown for a solid conducting cylinder of length L, which is very long, and of radius R. this cylinder carries a positive charge Q and is concentric with a thin non-conducting cylindrical shell at the radius 2R that carries charge Q'. The charge Q' is distributed uniformly inside the non-conducting cylindrical shell. In terms of R and Q, and using the Gauss law: What is the electric field for r < R? b) Find the electric field for R<r<2R. c) Find the electric filed for r> 2R. 2R R
d) Calculate the potential difference between the solid conducting cylinder and the inner surface of the
insulating shell.
Transcribed Image Text:d) Calculate the potential difference between the solid conducting cylinder and the inner surface of the insulating shell.
Expert Solution
Step 1

Given-

         radius of inner conducting cylinder = R

         charge on inner cylinder = Q

         radius of outer non-conducting cylinder = 2R

         charge inside the outer cylinder (shell) = Q'

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