Unbalanced star connected load with neutral

  1. 1. The problem statement, all variables and given/known data
    An unbalanced, star connected load with a neutral connection has resistances of value 2,4,1 in the a,b,c lines, and a resistance of 3 in the neutral.
    Find the current flowing in each line and in the neutral

    2. Relevant equations
    I think:
    Va = ZaIa + Zn(Ia+Ib+Ic)
    Vb = ZbIb + Zn(Ia+Ib+Ic)
    Vc = ZcIc + Zn(Ia+Ib+Ic)

    3. The attempt at a solution

    .'. Va = 5Ia+3Ib+3Ic
    Vb = 7Ib+3Ia+3Ic
    Vc = 4Ic+3Ia+3Ib

    if this is right so far, i am unsure where to go next! THANK YOU!
  2. jcsd
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