I'm being taught electromagnetism at university, but there's one definition that has been left slightly ambiguous for an electric field to be conservative i've been taught that(adsbygoogle = window.adsbygoogle || []).push({});

1) [tex]\nabla[/tex]xE= 0

But ive also been taught that

2) [tex]\oint[/tex]E.dl= 0

But im not sure if 1) & 2) have to be true for it to be conservitive.

OR that if 1) is true then 2) is true (and visa versa) ie, 1) [tex]\Leftrightarrow[/tex] 2)

So do i have to test for both to check the field is conservitive, or just one and say it implies the other.

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# Conservitive electric fields

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