Find the phasors I1, I2, V1, V2 in the circuit shown below.


-Vs + R1I1 + V1 = 0
-V2 - R2I2 - ZL3I2 = 0
V1 = ZL1I1 - ZMI2
V2 = - ZMI1 + ZL2I2
Solving these equations, we obtain
I1 = 4.5947?-40.5779o A
I2 = 1.4248?-10.8331o A
V1 = 30.7763?42.8276o V
V2 = 12.7435?-164.268o V

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