anonymous
  • anonymous
How do you find the curl of function f(x,y)=1111+(x/1100)^2
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[curl f=\left[\begin{matrix}i & j & k \\ \frac{\partial }{\partial x}& \frac{\partial }{\partial y}& \frac{\partial }{\partial z}\\ f_{x} & f_{y}& f_{z}\end{matrix}\right]\]
anonymous
  • anonymous
in your case f looks like scalar field. So there is no curl
anonymous
  • anonymous
is that fx , fy and fz in 3rd row are you sure? isn't it cifficient of i j and k?

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anonymous
  • anonymous
that's what fx , fy and fz are. They are the components of f
anonymous
  • anonymous
f should be a vector, if you whant to find it's curl. So it so it should look somthing like this: \[f(x,y)=f_{x} i +f_{y} j\]
anonymous
  • anonymous
Here f describes pressure vector field in 2 dimension
anonymous
  • anonymous
When you make contour plot you can see, pressure increasing from higher to lower region
anonymous
  • anonymous
DO you know how to write this equation as vector field? I am given only this equation
anonymous
  • anonymous
as I said befor. This equation asigns a numerical (scalar) value to every point in xy plane. So there is no vector field. The only vector field asociated with this sclara field is the field of grad f. But the curl(grad f)=0 always. That's all there is about this.
anonymous
  • anonymous
ok thnks

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