GATE EC 2017 Set 1 — Question 24
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumCharacteristic Impedance & PropagationTransmission LinesElectromagnetics
Electromagnetics → Transmission Lines → Characteristic Impedance & Propagation
Last updated
Question
The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is Volts, where is the distance along the length of the cable in metres, is the complex propagation constant, and is the angular frequency. The absolute value of the attenuation in the cable in dB/metre is ______.
Correct answer
0.85 to 0.88
Solution
Given the voltage expression , the propagation constant is .
From the given value , we identify the attenuation constant .
To convert the attenuation from Nepers per meter (Np/m) to decibels per meter (dB/m), we use the relation:Rounding to two decimal places, we get approximately 0.87, which is within the range [0.85, 0.88].
From the given value , we identify the attenuation constant .
To convert the attenuation from Nepers per meter (Np/m) to decibels per meter (dB/m), we use the relation:Rounding to two decimal places, we get approximately 0.87, which is within the range [0.85, 0.88].
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…