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Conditions for a E field to be possible

by cutesteph
Tags: conditions, field
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cutesteph
#1
Nov23-13, 10:59 AM
P: 53
If I want to verify an electric field E is possible in free space, do I just need to check ∇xE =0?
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WannabeNewton
#2
Nov23-13, 11:31 AM
C. Spirit
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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?
cutesteph
#3
Nov23-13, 12:23 PM
P: 53
Yes, the system is electrostatic.

WannabeNewton
#4
Nov23-13, 12:57 PM
C. Spirit
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Conditions for a E field to be possible

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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