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Math Help - Flux

  1. #1
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    Flux

    Since the field vectors F(x,y,z) = xi +0j +zk and the cylinder obtained by rotation the straight: x=1; y=t; z=0 with -1 \leq t \leq 1 around the axis OY. Determine the flow of the field F in the direction normal outside of the cylinder


    My solution:

    Rotating

    F(r(t,u)) = (cosu,t,sinu)

    normal: N = (\frac{ \partial (r)}{ \partial (t)} X \frac{ \partial (r)}{ \partial (u)}) = (cosu,0,sinu)

    \int_0^{2 \pi} \int_{-1}^1 (cosu,t,sinu).(cosu,0,sinu) = 4 \pi

    It is correct ?
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  2. #2
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    It is correct ?
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