How to find electric-charge density distribution

  • Thread starter smantics
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  • #1
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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?
 

Answers and Replies

  • #2
419
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One nice formula you might try applying is one of Maxwell's equations: [tex]\nabla \cdot \mathbf{E} = \frac {\rho} {\varepsilon_0}[/tex] The symbol [itex]\rho[/itex] is the charge density that generates the electric field [itex]\mathbf{E}[/itex], and [itex]\varepsilon_0[/itex] is a proportionality constant called the permittivity of free space.
 
  • #3
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Thanks, I will try that.
 
  • #4
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The divergence of a uniform field is zero. There are no charges, at least where the field is uniform.
 

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