Difficulty: Easy
Correct Answer: above 1 GHz
Explanation:
Introduction / Context:Hollow metallic waveguides (rectangular or circular) guide electromagnetic waves above a cutoff frequency determined by their cross-section. Compared to cables, they exhibit very low loss at microwave frequencies and high power-handling, but they are impractical at low frequencies due to size and cutoff constraints.
Given Data / Assumptions:
Concept / Approach:The dominant cutoff (TE10 for rectangular, TE11 for circular) scales inversely with the guide dimension. To operate, frequency must exceed the dominant cutoff; at lower frequencies the guide does not support propagation. For commonly available sizes, this places practical operation in the microwave regime, typically above ~1 GHz and often several GHz. Below this, guides would need to be physically huge to pass energy, making coaxial lines preferable.
Step-by-Step Reasoning:
1) Dominant cutoff f_c ∝ c / dimension.2) To keep size reasonable, operate at microwave frequencies where f > f_c for standard sizes.3) Hence usage “above 1 GHz” is the accepted general threshold in practice.Verification / Alternative check:Standard WR-series guides (e.g., WR-90, WR-62) cover bands starting a few GHz upward, reaffirming the microwave-band use case.
Why Other Options Are Wrong:
Common Pitfalls:Assuming a single fixed threshold; actual threshold depends on size, but sub-GHz usage requires extremely large guides.
Final Answer:above 1 GHz
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