Admittance parameters and input impedance

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SUMMARY

The discussion focuses on calculating admittance parameters and input impedance using the equations i1 = y11*v1 + y12*v2 and i2 = y21*v1 + y22*v2. The user successfully determined that i1 equals 0.4 A and v2 equals 32 V, leading to V0 being -10 V. However, confusion arises regarding the input impedance due to a dependent source, with the correct formula being Zi = V1/I1. The user challenges the initial calculation of I1, questioning the derivation of I1 = 20/50.

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  • Familiarity with Ohm's Law and its application
  • Knowledge of dependent sources in circuit analysis
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  • Learn about dependent sources and their impact on circuit behavior
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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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