- #1
p0ps1c1e
- 10
- 0
1. A charge density ρ (charge per unit volume) is distributed uniformly throughout a non-conducting cylinder of radius R. What is the magnitude of the electric field a distance r = R/2 from the cylinder's axis?
E ∫dA = q(interior)/ε0[/B]3.
So I tried doing EA = (ρA)(v/V)/ε0 where v is the volume of the Gaussian surface and V is the volume of the cylinder
E = (ρ*(πR^2L/4πR^2L))/ε0
E = ρ/4ε0
However the answer is supposed to be E = ρR/4ε0
I'm not sure where I'm going wrong
Homework Equations
E ∫dA = q(interior)/ε0[/B]3.
So I tried doing EA = (ρA)(v/V)/ε0 where v is the volume of the Gaussian surface and V is the volume of the cylinder
E = (ρ*(πR^2L/4πR^2L))/ε0
E = ρ/4ε0
However the answer is supposed to be E = ρR/4ε0
I'm not sure where I'm going wrong