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SUROJ Group Title

How do you find the curl of function f(x,y)=1111+(x/1100)^2

  • one year ago
  • one year ago

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  1. myko Group Title
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    \[curl f=\left[\begin{matrix}i & j & k \\ \frac{\partial }{\partial x}& \frac{\partial }{\partial y}& \frac{\partial }{\partial z}\\ f_{x} & f_{y}& f_{z}\end{matrix}\right]\]

    • one year ago
  2. myko Group Title
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    in your case f looks like scalar field. So there is no curl

    • one year ago
  3. SUROJ Group Title
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    is that fx , fy and fz in 3rd row are you sure? isn't it cifficient of i j and k?

    • one year ago
  4. myko Group Title
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    that's what fx , fy and fz are. They are the components of f

    • one year ago
  5. myko Group Title
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    f should be a vector, if you whant to find it's curl. So it so it should look somthing like this: \[f(x,y)=f_{x} i +f_{y} j\]

    • one year ago
  6. SUROJ Group Title
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    Here f describes pressure vector field in 2 dimension

    • one year ago
  7. SUROJ Group Title
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    When you make contour plot you can see, pressure increasing from higher to lower region

    • one year ago
  8. SUROJ Group Title
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    DO you know how to write this equation as vector field? I am given only this equation

    • one year ago
  9. myko Group Title
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    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.

    • one year ago
  10. SUROJ Group Title
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    ok thnks

    • one year ago
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