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How to do Mesh Analysis with current controlled voltage sour

  1. Nov 7, 2016 #1
    1. The problem statement, all variables and given/known data
    Vs = 100cos(2000t)
    upload_2016-11-7_21-11-57.png

    2. Relevant equations
    KVL, KCL

    3. The attempt at a solution
    My mesh equations are:
    -Vs + I1(30-12.5j)-I2(120j)=0
    4Ix+I2(120j+20)-I1(120j)=0
    Ix = (I1-I2)

    Are these correct? When I solve I get a different result than when I do nodal analysis.
     
  2. jcsd
  3. Nov 7, 2016 #2

    gneill

    User Avatar

    Staff: Mentor

    Your first mesh equation is missing a term for the potential drop over the inductor due to mesh current ##I1##.
     
  4. Nov 7, 2016 #3
    -Vs + I1(30-12.5j+120j)-I2(120j)=0

    i1 = (1.93736+0.385512i)
    i2 = (1.83193+0.694348i)

    ix = (1.93736+0.385512i)-(1.83193+0.694348i)
    V(120j) = ix*120j = 37.06+j12.65 V
    The solution (using nodal analysis) says V(120j) = 2.95+j1.126
     
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