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Help with a Gauss law problem

  1. Oct 22, 2012 #1
    hey guys and gals, I'm normally pretty good at my physics homework, but this problem has my STUMPED, I think im starting it right, but I have no idea how to proceed or if I am on a good path.
    1. The problem statement, all variables and given/known data
    A Very Long Cylinder with a radius of 7.2cm (.072m) has a uniform density of charges throughout it. If the charge density of the cylinder is 1,264 nC.m^3, inside the cylinder for what distances x (less the the radius) from the center of the cylinder, the magnitude of the electric field equal to Ax^n where the electric field is in nC and x is measured in meters. What is the value of A, and what is the value of N


    2. Relevant equations
    intE*dA=Qin/Epsilon naught


    3. The attempt at a solution
    Ok, so I know I am working in three detentions, so my charge density is not going to be n=q/4piR^2, but rho (shown as P here on out) I was able to assume that the intE*dA=E*2pi*R*L
    and that lead me to

    Qin (charge)=int P*Dv and Dv=2piL


    but im still confused and have no idea how I am supposed to get a numerical value for these things.


    please help
     
  2. jcsd
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