The history of the Barkhausen Stability Criterion is an
unfortunate one. In 1921, during his study of feedback
oscillators, Barkhausen developed a ``formula for self-
excitation''

KF(jw)=1

where K is an amplifier gain factor and F(jw)is the
frequency dependence of the feedback loop. This equation
was originally intended for the determination of the
oscillation frequency for use in radio transmitters.
However, before conditionally-stable nonlinear systems were
understood, it was widely believed that only a single value
of K separated stable and unstable regions of behavior.
Thus, Barkhausen's Criterion was incorrectly used as a
stability criterion, especially in the German literature

magnitude of AB is greater than or equal to 1.a is the open
loop gain,b is the feedback factor and ab is the closed loop
gain.also,the totl phase shift around the closed loop is 0
or 360 degrees.

This Criterian is necessary to make a successfull
oscillator and the conditions are
1. loop gain must be unity
2. total phase shift should be zero or 360 degrees

A criterion used to determine the stability of an oscillator
circuit which states that, if the circuit is seen as a loop
consisting of an amplifier with gain A and a linear circuit
whose gain β(jω) depends on frequency ω, then the loop will
oscillate with a perfect sine wave at some frequency ω0 if
at that frequency Aβ(jω0) = 1 exactly, that is, if the
magnitude of Aβ(jω0) is exactly 1 and its phase is 0° or 360°.

two independent random variables x and y are uniformly
distributed in the interval [-1,1].the probability that
max[x,y] is less than 1/2 is a) 3/4 b)9/16 c)1/4 d)2/3

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When an inductor tunes at 200 KHz with 624 pF capacitor and
at 600 KHz with 60.4 pF capacitor then the self capacitance
of the inductor would be
a) 8.05 pF b) 10.05pF c.) 16.01pF d.) 20.01pF