GATE EC 2023 Set 1 — Question 33
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Network Theory → Circuit Fundamentals & Theorems → Maximum Power Transfer
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Question
For the two port network shown below, the -parameters is given asThe value of load impedance , in , for maximum power transfer will be _______ (rounded off to the nearest integer).
parameters, with a load impedance Z_L connected to the output port.]
Correct answer
80 to 80
Solution
To find the load impedance for maximum power transfer, we need to determine the Thevenin equivalent impedance looking into the output port of the two-port network. The maximum power transfer theorem states that . Since all parameters in this problem are real, .The output admittance (which is ) of a two-port network terminated with a source admittance at port 1 is given by:From the circuit, the source resistance is , so the source admittance is:The given -parameters are:
Substituting these values into the expression for :The Thevenin resistance is:For maximum power transfer, .
Substituting these values into the expression for :The Thevenin resistance is:For maximum power transfer, .
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