vector instead of jacobian

Discussion in 'Wireless & RF Design' started by perilbrain, Jun 12, 2010.

  1. perilbrain

    Thread Starter New Member

    Jun 12, 2010
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    for the past 3 yrs I have been trying to know y we use complex even though those imaginary sections could have been denoted by vectors.
    such as for an LR circuit with voltage V,
    I=V / (R i + X j) ...eq1 ..{i & j are vectors & V is also in vector}
    instead of I=V/(R+jX) ...eq2
    as the above was capable of working same as the later...
    eq1=> V= IR i + IX j
    eq2=> V= IR + j IX
    in the same way for two || LR circuits with V.
    I1 = V/ R1 i + X1 j & I2=V/R2 i +X2 j ;
    I1 = V . (R1 i + X1 j) / {(R1 i + X1 j). (R1 i + X1 j)
    = VR1 i + VX1 j / [{√( R1^2+ X1^2)}^2]
    = {V/(√( R1^2 + X1^2))}.(sinψ i + cosψ j)
    = I(sinψ i + cosψ j) where ψ = tan^(-1){R/X}
    transforming the above into complex notation the same will be
    = I e^(-jψ)
    However when we proceed ahead we get a few anomalies ....
    can any one explain all these mess to me????
     
    Last edited: Jun 13, 2010
  2. studiot

    AAC Fanatic!

    Nov 9, 2007
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    What exactly do you mean?
     
  3. perilbrain

    Thread Starter New Member

    Jun 12, 2010
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    i cnt understand wat u r asking
     
  4. studiot

    AAC Fanatic!

    Nov 9, 2007
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    We use polite English on this site.

    I didn't see a single Jacobian in your examples.
    Please show an example of where a Jacobian is used in place of a vector.
     
  5. perilbrain

    Thread Starter New Member

    Jun 12, 2010
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    i have fixed it......
     
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