How to find electric-charge density distribution

[smantics]

Given only an uniform electric field with unit vectors in the x, y, and z directions, how would you go about calculating the electric-charge density distribution p(r) for that electric field?

 

[Jolb]

One nice formula you might try applying is one of Maxwell's equations: $$\nabla \cdot \mathbf{E} = \frac {\rho} {\varepsilon_0}$$ The symbol $\rho$ is the charge density that generates the electric field $\mathbf{E}$, and $\varepsilon_0$ is a proportionality constant called the permittivity of free space.

 

[smantics]

Thanks, I will try that.

 

[mikeph]

The divergence of a uniform field is zero. There are no charges, at least where the field is uniform.