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Consider the following statements about the Barkhausen criterion.

1. The loop gain must be unity in magnitude

2. The total phase shift around the loop must be zero or a multiple of a full turn

3. Both conditions must be satisfied at the same frequency

Which of the statements given above is or are correct?

  • A.1, 2 and 3
  • B.1 and 2 only
  • C.2 and 3 only
  • D.1 and 3 only

Answer: A

All three are correct, and the third is the one most often left unstated even though it does the real work: it is the coincidence of the two conditions at one frequency that picks the oscillation out of the noise. A circuit meeting the gain condition at one frequency and the phase condition at another will not oscillate at either. Stating a criterion completely, including the conditions under which its parts must hold, is what makes it usable rather than merely quotable.

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