I have a field $E(x,y)=2xi+yj$, and want to find the curl. I do this by the next way:
$rotE=i\dfrac{d(2x+y)}{dx}+j\dfrac{d(2x+y)}{dy}$ and get $2i+j$
Is it correct?
2026-03-25 19:00:44.1774465244
Am I finding curl correct?
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No it's wrong. We have $$\nabla\times E=(\dfrac{\partial}{\partial x}i+\dfrac{\partial}{\partial y}j)\times E=\dfrac{\partial y}{\partial x}k-\dfrac{\partial 2x}{\partial y}k=0$$