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What is the relationship between quality factor and bandwidth for a resonant antenna?

  • A.Bandwidth is independent of the quality factor
  • B.Bandwidth is the resonant frequency divided by the quality factor
  • C.Bandwidth is the quality factor divided by the resonant frequency
  • D.Bandwidth is proportional to the quality factor

Answer: B

The standard relation is bandwidth equals resonant frequency over quality factor, so a quality factor of a hundred at ten megahertz gives a hundred kilohertz of bandwidth. It applies to any resonator, antenna or otherwise. Since the Chu limit sets a minimum quality factor for an antenna of a given electrical size, this relation converts that limit directly into a maximum achievable bandwidth, which is how the size, bandwidth and efficiency trade is made quantitative.

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