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Math Help - Simultaneous Equations

  1. #1
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    Simultaneous Equations

    Hello there guys,

    I am writing a computer program and just need a little a little help with this simultaneous equation.

    I have got it down to;

    V1=Ix(Rx+Rz)+IyRz
    V2=IxRz+Iy(Ry+Rz)

    I know the value of V1, V2, Rx, Ry and Rz so i need the mesh equation to solve Ix and Iy.

    Any help would be greaty appreciated.
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    familiar w/ matrix operations ?

    \left[\begin{array}{cc}(R_x+R_z)&R_z\\R_z&(R_y+R_z)\end{  array}\right] \cdot \left[\begin{array}{cc}I_x\\I_y\end{array}\right] = \left[\begin{array}{cc}V_1\\V_2\end{array}\right]

    \left[\begin{array}{cc}I_x\\I_y\end{array}\right] = \left[\begin{array}{cc}(R_x+R_z)&R_z\\R_z&(R_y+R_z)\end{  array}\right]^{-1} \cdot \left[\begin{array}{cc}V_1\\V_2\end{array}\right]
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