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ElectricalPower System
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In order to reduce the skin effect at UHF

A

Copper tubes with silver plating are used

B

Copper roads with silver plating are used

C

Anodized conductors are used

D

Painted conductors are used

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalPower System
Option A

Copper tubes with silver plating are used

Quick Summary:

AtUltra High Frequencies (UHF), the skin effect causes current to concentrate on the extreme outer surface of a conductor, significantly increasing effective resistance ┬╖ Using silver-plated copper tubes maximizes the high-conductivity surface area while minimizing material usage, as the interior of the conductor carries negligible current.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

AtUltra High Frequencies (UHF), the skin effect causes current to concentrate on the extreme outer surface of a conductor, significantly increasing effective resistance ┬╖ Using silver-plated copper tubes maximizes the high-conductivity surface area while minimizing material usage, as the interior of the conductor carries negligible current.

ЁЯФв Key Formulas

╬┤=1╧Аf╬╝╧Г\delta = \frac{1}{\sqrt{\pi f \mu \sigma}}╬┤=╧Аf╬╝╧ГтАЛ1тАЛ тАФ Skin depth equation defining penetration depth

RAC=l╧ГAeffR_{AC} = \frac{l}{\sigma A_{eff}}RACтАЛ=╧ГAeffтАЛlтАЛ тАФ Effective AC resistance equation

тЪЩя╕П Working Principle

The skin depth ╬┤\delta╬┤ is inversely proportional to the square root of frequency fff. As fff increases, ╬┤=1╧Аf╬╝╧Г\delta = \sqrt{\frac{1}{\pi f \mu \sigma}}╬┤=╧Аf╬╝╧Г1тАЛтАЛ decreases, pushing current to the surface ┬╖ By plating the surface with silver (a superior conductor) and using a hollow tube, we reduce the AC resistance and material cost simultaneously.

ЁЯУМ Key Points
  • тЦ╕

    Silver has higher electrical conductivity than copper, reducing surface resistance.

  • тЦ╕

    Hollow tubes are used because the center of the conductor carries almost zero current at UHF.

  • тЦ╕

    Skin depth decreases rapidly as frequency increases.

  • тЦ╕

    UHF range is typically 300 MHz to 3 GHz.

тЬЕ Advantages
  • тЦ╕

    Reduced ohmic losses

  • тЦ╕

    Lower mass and material cost compared to solid conductors

  • тЦ╕

    Improved signal transmission efficiency

тЭМ Disadvantages / Limitations
  • тЦ╕

    Higher manufacturing complexity for silver plating

  • тЦ╕

    Corrosion of silver plating over time (tarnishing)

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Waveguides

  • тЦ╕

    UHF resonant cavities

  • тЦ╕

    High-frequency transmission lines

ЁЯУД Additional Information
  • тЦ╕

    The skin effect is defined by the depth at which the current density drops to 1/e1/e1/e (approx 37%) of the surface value.

  • тЦ╕

    Option B is incorrect because a solid rod does not provide the weight and cost efficiency of a tube, and the center is underutilized.

ЁЯУК Diagram / Illustration
Skin Effect Formula╬┤ = (1 / тИЪ(╧А f ╬╝ ╧Г))╬┤: Skin Depth (m)f: Frequency (Hz), ╧Г: Conductivity (S/m)
тЬЕ

A is correct тАФ Copper tubes with silver plating provide an optimal low-resistance surface for high-frequency current flow while reducing unnecessary conductive material.

Core Concepts Used
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Skin Effect Electromagnetic Field Theory High-Frequency Conductors
ЁЯТб EXAM TIP

Always remember that at high frequencies, the interior of a conductor is essentially 'dead weight'; focus on surface properties and skin depth calculations.

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