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Math Help - Divergence

  1. #1
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    Divergence

    Hi I have problem finding the solution for this problem:

    Find the divergence of the vector function A=ρ ρ
    transform this vector function into rectangular coordinates and find the
    divergence using rectangular coordinates calculation.



    I know that I need to find 2 since I have computed it in cylindar coordinates.
    But I don't succeed to do it in rectangular coordinates.
    I replace ρ by sqrt(x^2+y^2+z^2) (where in this case z=0)and
    the unit vector ρ by x*cos(phi)+ y*sin(phi)

    N.B: In bold this is the unit vector.
    thank you.
    B
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  2. #2
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    Quote Originally Posted by braddy View Post
    Hi I have problem finding the solution for this problem:

    Find the divergence of the vector function A=ρ ρ
    transform this vector function into rectangular coordinates and find the
    divergence using rectangular coordinates calculation.



    I know that I need to find 2 since I have computed it in cylindar coordinates.
    But I don't succeed to do it in rectangular coordinates.
    I replace ρ by sqrt(x^2+y^2+z^2) (where in this case z=0)and
    the unit vector ρ by x*cos(phi)+ y*sin(phi)

    N.B: In bold this is the unit vector.
    thank you.
    B
    In the Cartesian case the formula for the divergence is simple. Just take
    ^x(d/dx) + ^y(d/dy)
    (Since z = 0 is constant we may omit the ^z(d/dx) term.)

    -Dan
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