IGNOU PHE 10 2018 - Explain the Barkhausen criterion for sustained oscillation. How is it

Question

Explain the Barkhausen criterion for sustained oscillation. How is it satisfied in the

phase-shift oscillator circuit?

27 Jan 2018

Answer :

Word Count : 443

Barkhausen criterion are a set of two mathematical conditions which a linear electronic circuit must follow to act as an electronic oscillator.
According to Barkhausen criterion for sustained oscillation:

The magnitude of the product of open loop gain of the amplifier and the magnitude of the feedback factor is unity, i.e., |βA|=1

where A is the gain of the amplifying element in the circuit and β (jω) is the transfer function of the feedback path.

The total phase shift around the loop is 0 or integral multiples of 2π

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However, it is important to note that Barkhausen criterion is a necessary condition for oscillation but not a sufficient condition.

A small change In DC power supply or noise component in oscillator circuit can start oscillation and to maintain oscillation in circuit must satisfy Barkhausen’s criterion.

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