GATE EE 2018 Set 1 — Question 29
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Electric Circuits → Two-Port Networks → Z, Y, h & ABCD Parameters
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Question
In the two-port network shown, the parameter in ohms is _____________ (up to 2 decimal places).
Correct answer
0.45 to 0.55
Solution
To find the parameter, we need to find the input impedance when the output port is short-circuited ().
1.Short-circuit the output: Setting grounds the output node (Node B).
2.Identify nodes: Let the node between the three resistors be Node A. The input voltage is applied at the input terminal.
3.KCL at Node A:
- Current enters from the left through a resistor: .
- At Node A, the currents are: (entering), (leaving towards the right through the dependent source), (leaving downwards), and (leaving towards the right through the resistor).
- KCL equation:
- .
- Substitute into the expression for : .
- .
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