Discussion
Determine the value of \(Z_{11}\) parameter of the given two port network.
Answer: B
The z-parameter \(Z_{11} = V_1 / I_1\) with the output port open circuited (\(I_2 = 0\)).
With port 2 open, no current flows in the 3 kilohm resistor, so the input sees the 5 kilohm resistor in series with the 12 kilohm shunt resistor.
\[ Z_{11} = 5 + 12 = 17\ \text{k}\Omega \]
The 3 kilohm resistor does not enter because it carries no current. The value 15 kilohm adds the 12 and 3 and leaves out the 5, 16 kilohm and 12 kilohm do not match any combination of the series arms with the shunt. The answer is 17 kilohm, option B.
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