I know how to calculate the divergence and curl of a vector field. What I am lacking is any intuition on what these values mean.(adsbygoogle = window.adsbygoogle || []).push({});

example:

V= {x, y, z}

∇.V = 3

∇xV = {0,0,0}

F={-y, x, 0}

∇.F = 0

∇xF = {0,0,2}

G={0, 3y, 0}

∇.G = 3

I understand that that the divergence is a measure of how much the vector field "spreads out" and the curl measures the circulation, but what does it mean to have a divergence of 3? or a curl vector of {0,0,2}

The last example is merely because it has the same divergence as the first; the graphs look very different(the second doesnt even seem to "diverge"), yet have the same divergence.

Thank you for any help.

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# Divergence and Curl

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