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Math Help - potential finding proccess question..

  1. #1
    MHF Contributor
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    potential finding proccess question..

    i need to find the potential of some F=Pi+Qj+Rk field .

    BY DEFINITION
    dU/dx=p
    so i am integrating and i am getting a constant which is indenedant of x
    its C'(y,z)

    then i am deferentiating the result by y and compare it to Q
    then i find the C(y,z) expression
    then i dont know how to involve it with R to get the final formuma
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  2. #2
    MHF Contributor Calculus26's Avatar
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    simply repeat the process

    Once you differentiate with respect to y and set the result equal to Q

    Integrate and add a function of z only instead of the integration constant.

    Now differentiate wrt to and set equal to R

    As a simple eg F = x i + y j + z k

    du/dx = x

    u = x^2/2 +C(y,z)

    du/dy = dC/dy = y

    C(y,z) = y^2/2 + h(z)

    u = x^2/2 +y^2/2 +h(z)

    du/dz = h ' (z) = z

    h(z) = z^2/2


    u = x^2/2 +y^2/2 +z^2/2
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