Admittance parameters and input impedance

AI Thread Summary
The discussion focuses on using admittance parameters to solve circuit problems, specifically involving equations for currents i1 and i2 based on voltage inputs v1 and v2. The initial calculations yield v2 as 32 V and i2 as 0.2 A, leading to a derived V0 of -10 V. However, confusion arises regarding the input impedance due to the presence of a dependent source, with clarification needed on the correct expression for the current through Vo. The input impedance is defined as Zi = V1/I1, but there are concerns about the accuracy of the initial calculations, particularly the derivation of I1. Accurate calculations and understanding of dependent sources are crucial for resolving the input impedance issue.
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hello this is the problem i am working on. i started out by using the admittance parameter equation

i1 = y11*v1 + y12*v2
i2 = y21*v1 + y22*v2

so i1 is 20/50 by ohms law. so i1 = 0.4 so by the first equation i get v2 = 32 V.
also plugging in values for the second equation i get i2 = 0.2 A.
finally i got V0 by -I2*50ohms to get -10V.

the second part about the input impedance is where i run into trouble because of the dependent source.
 
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You did it wrong. The current through Vo is I2 + 0.2*V1.
The input impedance is Zi = V1/I1.
I did not make the other calculations but I think they are wrong. For instance, where did you get I1 = 20/50?
 
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