Skin effect becomes more pronounced as the operating frequency increases. Is this statement accurate for practical conductors?

Difficulty: Easy

Correct Answer: True

Explanation:


Introduction / Context:
Skin effect is the tendency of alternating current to concentrate near the surface of a conductor at higher frequencies. It is critical in RF, microwave, and high-speed digital design because it raises effective resistance and loss with frequency.



Given Data / Assumptions:

  • Good metallic conductors (e.g., copper) with finite conductivity.
  • Frequency domain from kHz to GHz where classical skin effect applies.


Concept / Approach:

The skin depth δ is given by δ = sqrt(2 / (ω μ σ)), where ω is angular frequency, μ is permeability, and σ is conductivity. As frequency increases, δ decreases, crowding current toward the surface and increasing AC resistance.



Step-by-Step Solution:

Use δ = sqrt(2 / (ω μ σ)).As ω increases, δ decreases.Smaller δ means current flows in a thinner layer → higher effective resistance and more pronounced skin effect.


Verification / Alternative check:

Measured insertion loss of coaxial cables and PCB traces rises with frequency largely due to skin effect (and dielectric loss), confirming the theoretical trend.



Why Other Options Are Wrong:

  • False: Contradicts the frequency dependence of δ.
  • Conditions about superconductors/plasma frequency/1 MHz are not relevant in ordinary conductor contexts.


Common Pitfalls:

Confusing skin effect with proximity effect; assuming plating does not help (silver plating can reduce RF loss by lowering surface resistance).



Final Answer:

True

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