Find the mesh currents in the following circuit:
- j3 I1 + (j3-j5) I2 = 0
MathCAD is an excellent example of a computation tool which is fairly easy to use. I entered the two equations above to find the complex solution and with a minimum of effort the answer was provided.
Note that the polar quantity 10 \/ 20deg was converted to 9.40 + j3.42 before entering the equations into MathCAD.
Maple or Mathematica are other programs that you might wish to employ in finding the complex roots of complex simultaneous equations. MathCAD runs a subset of Maple; I highly recommend it!