Finding electric field vector given charge density, using Gauss's Law

[Lorenzoeblair]

Homework Statement

A long cylinder carries a volume charge density which is proportional to the distance from the axis, ρv=0.005r. Find the vector electric field inside the cylinder using Gauss’ Law in integral form.

Homework Equations

∫E dot dA = Q/ε₀
∫_vρ_v = Q_enc

The Attempt at a Solution

I first attempted trying to solve for Qenc using ∫_vρ_v = Q_enc, however I run to the issue of not know the boundary conditions. If I knew the boundary conditions, I would then set Qenc/ε = EA and solve for E.

 

[ehild]

∫_vρ_v = Q_enc

What do you mean with the 'v' in front of ρ_v?


ehild