GATE EC 2020 Set 1 — Question 25
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumMaximum Power TransferCircuit Fundamentals & TheoremsNetwork TheoryZ, Y, h & ABCD ParametersTwo-Port Networks
Network Theory → Circuit Fundamentals & Theorems → Maximum Power Transfer
Last updated
Question
In the given circuit, the two-port network has the impedance matrixThe value of for which maximum power is transferred to the load is ______ .
Correct answer
48 to 48
Solution
For maximum power transfer to the load , the load impedance must be equal to the complex conjugate of the Thevenin impedance looking into the load terminals. Since the network is purely resistive, . From the impedance matrix, we have:
At port 1, the source and resistor give: .
Substituting this into the first equation:
Now substitute into the equation for :
The Thevenin equivalent circuit looking into port 2 has and .
Therefore, for maximum power transfer, .
At port 1, the source and resistor give: .
Substituting this into the first equation:
Now substitute into the equation for :
The Thevenin equivalent circuit looking into port 2 has and .
Therefore, for maximum power transfer, .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Circuit Fundamentals & Theorems
2026 Set 1 Q23The relation between the input current () and the output voltage () of a circuit is governed…2026 Set 1 Q30The output voltage (in Volt) for the network given in the Figure is __. (rounded off to two…2026 Set 1 Q31Consider the circuit shown in the Figure, where the input is in Volt. The average power…2026 Set 1 Q39In the given circuit, and . The phasor diagram for and…2026 Set 1 Q51Consider the two-port network as shown in the Figure. Which of the following options provides the…