GATE EC 2023 Set 1 — Question 46
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Network Theory → Two-Port Networks → Z, Y, h & ABCD Parameters
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Question
The h-parameters of a two port network are shown below. The condition for the maximum small signal voltage gain is


- A.
- B.
- C.
- D.
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Correct answer
(MTA)
Solution
The voltage gain of a two-port network in terms of h-parameters is given by:To maximize the voltage gain , we need:
If and , the denominator becomes . This would lead to an infinite gain, which represents the maximum possible gain.Therefore, the conditions for maximum small signal voltage gain are:
Comparing this with the given options, option (A) matches these conditions.Thus, the correct option is (A).
1.Input impedance to be as small as possible (ideally 0) for a voltage-driven input.
2.Reverse voltage gain to be as small as possible (ideally 0) to prevent feedback from output to input.
3.Forward current gain to be as large as possible (ideally very high) to provide strong amplification.
4.Output admittance to be as small as possible (ideally 0) for a low output impedance, which is desirable for voltage output.
Substituting these ideal conditions into the gain formula:If and , the denominator becomes . This would lead to an infinite gain, which represents the maximum possible gain.Therefore, the conditions for maximum small signal voltage gain are:
Comparing this with the given options, option (A) matches these conditions.Thus, the correct option is (A).
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