GATE EC 2014 Set 3 — Question 40
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumTwo-Port InterconnectionsTwo-Port NetworksNetwork TheoryTransfer Functions
Network Theory → Two-Port Networks → Transfer Functions
Last updated
Question
Consider the building block called ‘Network N’ shown in the figure.
Let and .

Two such blocks are connected in cascade, as shown in the figure.

The transfer function of the cascaded network is
Let and .

Two such blocks are connected in cascade, as shown in the figure.

The transfer function of the cascaded network is
Correct answer
(B) (s²)/(1+3s+s²)
Solution
The transfer function of a single 'Network N' block is .
Given and , . Thus, .
When two such blocks are cascaded, the second block loads the first. Let and .
Applying KCL at the intermediate node :For the second stage, .
Substituting into the KCL equation and simplifying with (so ):This matches option (B).
Given and , . Thus, .
When two such blocks are cascaded, the second block loads the first. Let and .
Applying KCL at the intermediate node :For the second stage, .
Substituting into the KCL equation and simplifying with (so ):This matches option (B).
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 Two-Port Networks
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…