GATE EC 2015 Set 3 — Question 64
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardInput Impedance & ReflectionTransmission LinesElectromagnetics
Electromagnetics → Transmission Lines → Input Impedance & Reflection
Last updated
Question
A long transmission line having parameters shown in the figure is terminated into a load . The line is connected to a source having source resistance through a switch, which is closed at . The transient response of the circuit at the input of the line () is also drawn in the figure. The value of (in ) is ______.
Correct answer
29 to 31
Solution
Given:
, , , , .
This matches the initial step in the graph.
.
The total voltage at for is:
.
Where .
From the graph, .
.
.
.
.
, , , , .
1.Initial voltage at ():
.This matches the initial step in the graph.
2.Propagation delay ():
..
3.Voltage at after reflection from load reaches input ():
At , the reflected wave from the load reaches the input and is reflected back as .The total voltage at for is:
.
Where .
From the graph, .
.
.
4.Calculate :
..
.
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 Transmission Lines
2026 Set 1 Q21Consider the Friis' transmission equation , where…2026 Set 1 Q24The electric field of a monochromatic plane wave travelling in a lossless isotropic and homogenous…2026 Set 1 Q28Which option(s) represents/ represent the dielectric loss tangent of a substrate?2026 Set 1 Q33The cutoff frequency (in GHz) for the dominant mode of an air-filled rectangular…2026 Set 1 Q34For a lossless passive two-port network, and intersect at -3 dB. For a lossy…