In a certain region of space, the electric field E is uniform.

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Homework Statement



In a certain region of space, the electric field E/vec is uniform.
Why is the charge density in this region zero?
Assume in a region of space where there is no charge, must E/vec be uniform?

Homework Equations



Gauss's Law

The Attempt at a Solution



I don't really know why a uniform electric field makes the charge density zero... The only thing that I know I could do would be to make this "area" so large (to infinity) that the resulting density would be zero. Can anyone explain to me why?
 

Answers and Replies

  • #2
LowlyPion
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If there was a charge would the field be uniform?
 
  • #3
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No because the charge would cause a distortion of the field?
 
  • #4
LowlyPion
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That would be my thinking.

What about a region with no charge? Must the field be uniform?
 
  • #5
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Hmm, I would say no, because the charge can be right outside the area with no charge..?
 
  • #6
LowlyPion
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Hmm, I would say no, because the charge can be right outside the area with no charge..?

Precisely.
 

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