Deriving Electric Field in a Charged Rod and Shell System"

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A long straight conducting rod with a linear charge density of +2.0 µC/m is enclosed by a cylindrical shell with a charge density of -2.0 µC/m. To find the electric field between the rod and the shell, a Gaussian surface is used, considering only the positive charge of the rod for calculations. The electric field outside the shell is determined to be zero due to the total enclosed charge being zero. The discussion emphasizes that the electric field is not constant between the rod and the shell, and the calculations must reflect the specific regions being analyzed. Understanding the charge distribution is crucial for accurately deriving the electric field in both scenarios.
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A long straight conducting rod (or wire) carries a linear charge density of +2.0uC/m. This rod is totally enclosed within a thin cylindrical shell of radius R, which carries a linear charge density of -2.0uC/m.
A) Construct a Gaussian cylindrical surface between the rod and the shell to derive then electric field in the inner space as a function of the distance from the center of the rod.
B) Construct a Gaussian cylindrical surface outside both the rod and the shell to calculate the electric field outside the shell.

This is what i have so far.

E=q/4piEor^2
E=+2.0uC/m / 4pi8.85x10^-12(-2uC/m)^2
E=4.5x10^9Nm^2/C
 
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chillaxin said:
A long straight conducting rod (or wire) carries a linear charge density of +2.0uC/m. This rod is totally enclosed within a thin cylindrical shell of radius R, which carries a linear charge density of -2.0uC/m.
A) Construct a Gaussian cylindrical surface between the rod and the shell to derive then electric field in the inner space as a function of the distance from the center of the rod.
B) Construct a Gaussian cylindrical surface outside both the rod and the shell to calculate the electric field outside the shell.

This is what i have so far.

E=q/4piEor^2
E=+2.0uC/m / 4pi8.85x10^-12(-2uC/m)^2
E=4.5x10^9Nm^2/C
The field is certainly not constant in the region between the rod and the cylinder. Are these anwers to multiple parts? Just the first part?
 
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Unless I'm mistaken, the total charge inclosed in the whole system is zero. If the enclosed charge is zero, the electric field is zero. Thus from what I can draw, the answer to B is zero. The answer to A requires using the enclosed charge to be the positive portion and then solving for E.
 
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