A scalar field is conservative, i.e. the line integral does not depend on the path taken, if it has a gradient.(adsbygoogle = window.adsbygoogle || []).push({});

Now, can someone give me intuition behind why the gradient would have something to do with this? :)

For me the gradient is merely a way of writing up the partial derivates as a vector, which then points in the direction where the field is steepest.

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# Homework Help: Intuition for conservative field

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