GATE EC 2024 Set 1 — Question 60
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Network Theory → Two-Port Networks → Z, Y, h & ABCD Parameters
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Question
For the two port network shown below, the value of the parameter (in Siemens) is ______.
Correct answer
1.5 to 1.5
Solution
The parameter of a two-port network is defined as the short-circuit forward transfer admittance:To find , we short-circuit port 2, which makes .
From the circuit diagram, node 2 is directly connected to the junction of the and resistors. Let this node be . Thus, .
The dependent voltage source is with the positive terminal at the bottom. Therefore, the voltage at the node between the resistor and the source is relative to the common ground.
Applying Kirchhoff's Current Law (KCL) at node (with ):
Sum of currents entering node = Sum of currents leaving node
Substituting :Therefore, the parameter is:
From the circuit diagram, node 2 is directly connected to the junction of the and resistors. Let this node be . Thus, .
The dependent voltage source is with the positive terminal at the bottom. Therefore, the voltage at the node between the resistor and the source is relative to the common ground.
Applying Kirchhoff's Current Law (KCL) at node (with ):
Sum of currents entering node = Sum of currents leaving node
Substituting :Therefore, the parameter is:
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