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Conditions for a E field to be possible

  1. Nov 23, 2013 #1
    If I want to verify an electric field E is possible in free space, do I just need to check ∇xE =0?
     
  2. jcsd
  3. Nov 23, 2013 #2

    WannabeNewton

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    In free space what always has to hold is ##\vec{\nabla}\cdot \vec{E} = 0## whereas ##\vec{\nabla}\times \vec{E} = 0## only holds in electrostatic systems. Is your system electrostatic?
     
  4. Nov 23, 2013 #3
    Yes, the system is electrostatic.
     
  5. Nov 23, 2013 #4

    WannabeNewton

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    Then yes you have to check that the electric field is irrotational. You also have to check that it is divergence-free.
     
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