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Is the field of an electric dipole conservative?
Initially I thought it would be, for no particular reason but that's just what my high school intuition thought. (haha I thought everything would be conservative apart from friction)
But I was reading up on some vector calculus and discovered
[tex]\mbox{curl}(\nabla f) = \mathbf{0}[/tex]
If you put a positively charged rod in an electric dipole field, and fix it at the right orientation, it will rotate. Does that mean that the field is not conservative?
EDIT: I just realized it would also rotate in an electric monopole field lol
thanks
Initially I thought it would be, for no particular reason but that's just what my high school intuition thought. (haha I thought everything would be conservative apart from friction)
But I was reading up on some vector calculus and discovered
[tex]\mbox{curl}(\nabla f) = \mathbf{0}[/tex]
If you put a positively charged rod in an electric dipole field, and fix it at the right orientation, it will rotate. Does that mean that the field is not conservative?
EDIT: I just realized it would also rotate in an electric monopole field lol
thanks