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## Homework Statement

Suppose an electric field E(x,y,z) has the form:

E_x = ax, E_y = 0, E_z = 0

where a is a constant. What is the charge density? How do you account for the fact that the field points in a particular direction, when the charge density is uniform?

## Homework Equations

charge density = charge per unit volume

gauss's law says the volume integral of the electric field around some closed surface is negative the charge enclosed divided by the epsilon constant

## The Attempt at a Solution

I picture this as an infinite charged plate going through x = 0 in the yz plane, which would have purely an electric field in the x-direction. So i think I am supposed to use gauss' law and integrate over all space? But i think that would get me some kind of infinite solution? Any hints would be greatly appreciated.