Back Stabilitätskriterium von Barkhausen German معیار پایداری بارک‌هاوزن Persian Critère de stabilité de Barkhausen French बार्कहाउजेन कसौटी Hindi Criterio di stabilità di Barkhausen Italian Critério de estabilidade de Barkhausen Portuguese Barkhausen-kriteriet Swedish 巴克豪森稳定性准则 Chinese

Barkhausen stability criterion

For the noise in the output of a ferromagnet upon a change in the magnetizing force, see Barkhausen effect.

Block diagram of a feedback oscillator circuit to which the Barkhausen criterion applies. It consists of an amplifying element A whose output vo is fed back into its input vf through a feedback network β(jω).
To find the loop gain, the feedback loop is considered broken at some point and the output vo for a given input vi is calculated:

In electronics, the Barkhausen stability criterion is a mathematical condition to determine when a linear electronic circuit will oscillate.[1][2][3] It was put forth in 1921 by German physicist Heinrich Barkhausen (1881–1956).[4] It is widely used in the design of electronic oscillators, and also in the design of general negative feedback circuits such as op amps, to prevent them from oscillating.

  1. ^ Basu, Dipak (2000). Dictionary of Pure and Applied Physics. CRC Press. pp. 34–35. ISBN 1420050222.
  2. ^ Rhea, Randall W. (2010). Discrete Oscillator Design: Linear, Nonlinear, Transient, and Noise Domains. Artech House. p. 3. ISBN 978-1608070480.
  3. ^ Carter, Bruce; Ron Mancini (2009). Op Amps for Everyone, 3rd Ed. Newnes. pp. 342–343. ISBN 978-0080949482.
  4. ^ Barkhausen, H. (1935). Lehrbuch der Elektronen-Röhren und ihrer technischen Anwendungen [Textbook of Electron Tubes and their Technical Applications] (in German). Vol. 3. Leipzig: S. Hirzel. ASIN B0019TQ4AQ. OCLC 682467377.
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