How to find electric-charge density distribution

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To calculate the electric-charge density distribution p(r) in a uniform electric field, Maxwell's equation ∇ · E = ρ/ε₀ can be applied. In this context, ρ represents the charge density, while ε₀ is the permittivity of free space. It is noted that the divergence of a uniform electric field is zero, indicating that there are no charges present in regions where the field remains uniform. Therefore, the electric-charge density distribution is effectively zero in such areas. This analysis confirms that uniform electric fields do not originate from local charge distributions.
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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?
 
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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.
 
Thanks, I will try that.
 
The divergence of a uniform field is zero. There are no charges, at least where the field is uniform.
 

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