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Electric field with constant direction

  1. Oct 27, 2007 #1
    I just started Classical Electrodynamics and stumbled upon a problem:

    An electric field has this form:

    [tex]E_{x}=ax ,E_{y}=0 ,E_{z}=0[/tex]

    where a is a constant.Find the density of the charge(ok that's easy).How do you explain that the field points towards a constant direction although the density of the charge is homogene?

    Ok,so I though maybe the charged body is like mug with infinite thickness and an infinite hight.Is this correct?Is there a way to find the answer mathematically?
    Last edited: Oct 27, 2007
  2. jcsd
  3. Oct 28, 2007 #2

    Meir Achuz

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    The charge density is constant, but the solution to the PDE div E=a is not unique.
    The solution for E also depends on the boundary conditions.
    In this case the BC as x, y, and -->infinity determines E.
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