Why RF inductors and capacitors are silver-plated High-frequency inductors and some capacitor plates are often silver-plated. What is the primary purpose of this surface treatment?

Difficulty: Easy

Correct Answer: reduce ac resistance

Explanation:


Introduction / Context:
At radio frequencies, current crowds near conductor surfaces due to the skin effect and is further redistributed by proximity effect. Surface conductivity therefore dominates component losses. Silver plating is commonly used in RF coils, transmission lines, and capacitor electrodes to improve Q and reduce insertion loss.



Given Data / Assumptions:

  • Operating frequencies high enough for skin effect to be significant.
  • Silver has the highest electrical conductivity among common metals.
  • Surface condition (roughness, oxidation) influences RF resistance.


Concept / Approach:
The effective ac resistance R_ac of a conductor at high frequency is proportional to 1/(σ δ) where σ is conductivity and δ is skin depth. Plating the surface with a highly conductive metal like silver decreases R_ac because most RF current flows within a few skin depths of the surface. Any improvement in surface conductivity or smoothness directly reduces ac losses and raises Q.



Step-by-Step Solution:
Recognize that at RF, current flows near the surface (skin depth δ).Silver plating increases σ at the current-carrying surface.Lower surface resistivity ⇒ lower R_ac ⇒ higher Q and lower loss.Therefore, the main purpose is to reduce ac resistance.



Verification / Alternative check:
Measurements of coil Q before and after silver plating typically show noticeable improvement; microwave waveguides are also silver-plated for the same reason.



Why Other Options Are Wrong:
DC resistance is dominated by bulk metal and cross-section; plating thickness is small relative to DC cross-section. Increasing resistance is never the goal.



Common Pitfalls:
Ignoring surface roughness and tarnish; failing to recognize that thin silver layers suffice because RF currents are confined near the surface.



Final Answer:
reduce ac resistance

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