# Gauss' Law Application Question

## Homework Statement

A linear charge lambda = 10^-11 C/m is uniformly distributed along a thin nonconductive rod of length L = 0.5 m.
Use Gauss' Law to calculate the field at a distance of r = 0.1 m from the charged rod.

E.da = Q/ε_0

## The Attempt at a Solution

Hi everyone,

Firstly, I assumed the rod was a line charge (as opposed to a cylinder, as it's so thin, yes?).

Then I rewrote Gauss' Law as: E_x.2πx_0.dz, where x_0 = 0.1 (... I chose a cylinder perpendicular to the rod as my Gaussian surface)
and the right-hand side as: λdz/ε_0
And so: E_x = λ/2πx_0ε_0

But I don't think this can be correct, as I haven't taken the length of the rod into account.
Can anyone please point me in the right direction?