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Help with a Gauss law problem

  • #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.

Homework Statement


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


Homework Equations


intE*dA=Qin/Epsilon naught


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
 

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