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application of Gauss law to find the electric field

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Please help with the following problem. Step by step calculations are given.

(See attached file for full problem description with proper symbols)

A long straight conducting rod carries a linear charge density of +2.0 uC/m . This rod is totally enclosed within a thin cylindrical shell of radius R, which carries a linear charge density of -2.0 uC/m.

1) Construct a Gaussian cylindrical surface between the rod and the shell to derive the electric field in the inner space as a function of the distance from the center of the rod.

2) Construct a Gaussian cylindrical surface outside both the rod and the shell to calculate the electric field outside the shell.

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Solution Summary

The solution is comprised of detailed explanations of Gauss' law to find the electric field both inside and outside the shell when the charge carrying rod is enclosed by a thin cylindrical shell. Step by step calculations are given in this solution.

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According to Gauss's law, for a surface either between the ...

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