Waveguide Construction: Identify the Incorrect Statement For metallic waveguides used at microwave frequencies, which of the following statements is wrong?
-
AIt is usually made of brass or aluminium
-
BIt is usually rectangular or circular in shape
-
CThe dielectric region is usually air
-
DThe wall thickness is very small as compared to skin depth
-
ECopper plating is sometimes used to reduce conductor loss
Answer
Correct Answer: The wall thickness is very small as compared to skin depth
Explanation
Introduction / Context:Waveguides are hollow metallic structures guiding TE/TM modes. Fabrication choices affect loss, bandwidth, and durability. Knowledge of correct construction principles avoids high-loss designs.
Given Data / Assumptions:
- Normal microwave bands (e.g., X, Ku) with good conductors.
- Interest in qualitative correctness of statements about materials, geometry, and skin depth.
Concept / Approach:
At microwave frequencies, skin depth δ is very small; to minimize conductor loss and ensure mechanical strength, wall thickness is made many skin depths, not “very small compared to δ”. Rectangular and circular cross-sections are standard; brass, aluminium, and copper-plated surfaces are commonly used. Air is the usual dielectric fill to keep loss low.
Step-by-Step Solution:
1) Evaluate materials: brass/aluminium are common → statement A correct.2) Shapes: rectangular and circular dominate → statement B correct.3) Dielectric: usually air → statement C correct.4) Skin depth: thickness must exceed several δ → D is incorrect as written.5) Copper plating lowers surface resistance → statement E correct.Verification / Alternative check:
Skin-effect formulas show conductor loss varies with surface resistance; plating with high-conductivity copper/silver reduces loss and is common practice.
Why Other Options Are Wrong:
Only D contradicts standard engineering practice; the others reflect widely used constructions.
Common Pitfalls:
Misinterpreting “skin depth” and assuming any thickness suffices; in reality, multiple skin depths are required for low loss and structural integrity.
Final Answer:
The wall thickness is very small as compared to skin depth