Transmission media and their dominant field modes — match each line/guide to the mode it supports List I (Transmission system) A. Rectangular waveguide B. Circular waveguide C. Coaxial line D. Microstrip line List II (Mode type) 1. TE/TM (no true TEM in hollow guides) 2. TEM 3. Quasi-TEM
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AA-1, B-1, C-2, D-3
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BA-1, B-2, C-2, D-3
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CA-2, B-2, C-3, D-3
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DA-3, B-1, C-2, D-2
Answer
Correct Answer: A-1, B-1, C-2, D-3
Explanation
Introduction / Context:Understanding which field modes a medium supports is crucial for dispersion, cutoff, and connector design. Hollow metallic waveguides differ fundamentally from transmission lines such as coax and microstrip.
Given Data / Assumptions:
- Hollow guides (rectangular, circular) do not support a true TEM mode.
- Coax supports a pure TEM mode (no cutoff, set by dielectric).
- Microstrip is an inhomogeneous line and supports quasi-TEM propagation.
Concept / Approach:Map hollow guides to TE/TM families; map coax to true TEM; map microstrip to quasi-TEM because the fields partly occupy air and dielectric, causing slight dispersion.
Step-by-Step Solution:
A (Rectangular waveguide) → 1 (TE/TM).B (Circular waveguide) → 1 (TE/TM).C (Coaxial line) → 2 (TEM).D (Microstrip line) → 3 (quasi-TEM).Verification / Alternative check:Mode charts show TE10 dominance in rectangular guides; coax characteristic impedance formulas assume TEM; microstrip velocity factor varies with effective permittivity, confirming quasi-TEM behavior.
Why Other Options Are Wrong:
- Assigning TEM to hollow guides contradicts boundary-condition proofs.
- Treating microstrip as pure TEM ignores dielectric inhomogeneity.
Common Pitfalls:Assuming “TEM everywhere” because two conductors exist—hollow guides have one conductor and a cavity, forbidding TEM.
Final Answer:A-1, B-1, C-2, D-3