Question: In a certain region of space, the electric field E is uniform. (a) Use Gauss's law to prove that this region of space must be

In a certain region of space, the electric field E is uniform.
(a) Use Gauss's law to prove that this region of space must be electrically neutral; that is, the volume charge density p must be zero.
(b) Is the converse true? That is, in a region of space where there is no charge, must E be uniform? Explain.

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