Electric Field GRE Problem

Think about charged sheets. What would be the electric field because of a charged sheet that is infinite in size?

 

What if the sheet of charge is in the x-y plane and is infinite?

 

The "domain" is a region of space. There are no ex and ey domains.
Every point in the domain has coordinates x,y,z. The field is all along the z direction, in every point.
The field lines are all parallel to each other and to the z axis.
Te magnitude of the field changes linearly along the z axis.

Yous just need to see if this field can satisfy Maxwell's equations, and if it can, in what conditions.

 

Sorry about my previous reply. There was power shortage in my area. Ignore that reply completely. Try calculating the charge density in such a space. It weirdly turns out to be a constant. This means there is a uniform charge distribution throughout the space. I really don't think you can go in the reverse direction (assuming a uniform charge distribution in space and finding the field proportional to z). This seems very weird. The only positive thing here is that there does exist a charge density.