I have found that gradient fields are always conservative. But for my knowledge I wanna ask "are the gradient fields are only fields which are conservative"? I mean is it necessary that a field which is conservative has to be a gradient field of some scalar function?
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Qmechanic
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1Related: https://physics.stackexchange.com/q/31672/2451 and links therein. – Qmechanic Jun 17 '18 at 09:03
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2The Wikipedia article on conservative forces directly answers your question. – ACuriousMind Jun 17 '18 at 09:06