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Homework Help: Gauss's Law problem

  1. Oct 24, 2006 #1
    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=+2.0uC/m / 4pi8.85x10^-12(-2uC/m)^2
  2. jcsd
  3. Oct 24, 2006 #2
  4. Oct 24, 2006 #3


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    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?
    Last edited: Oct 24, 2006
  5. Oct 24, 2006 #4
    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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