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Assertion (A): A small transmitting loop must be retuned after a small change of operating frequency.

Reason (R): Its high quality factor gives it a bandwidth of only a few kilohertz.

Select the correct answer from the options below.

  • A.Both A and R are true, and R is the correct explanation of A
  • B.Both A and R are true, but R is not the correct explanation of A
  • C.A is true but R is false
  • D.A is false but R is true

Answer: A

Both are true and the second is the reason. The same property that makes an efficient small loop possible, a very low loss resonant circuit, necessarily gives it a narrow bandwidth, since bandwidth is the resonant frequency divided by the quality factor. It is the Chu limit appearing in a practical form: a small antenna may be efficient or broadband but not both. Remote tuning is the engineering answer rather than any escape at all from the underlying physics.

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