0
What three conditions in a Barkhausen criterion must be met for oscillation to occur?
The Barkhausen stability criterion is just an obvious observation. It is a necessary but NOT sufficient criterion for oscillations.
The Barkhausen stability criterion states that an oscillator will oscillate when the total phase shift from input to output and back to input is an integral multiple of 360 degrees and the system gain is equal to 1.
The proper Barkhausen topology is defined as a loop of an amplitude determining inverting nonlinear amplifier (four terminal two-port ) and a linear passive frequency determining feed-back four terminal two-port circuit. It is obvious that the loop gain is 1 and the phase shift is a multiple of 360 degrees when the loop is closed. The Barkhausen criterion is necessary but not sufficient.
Question: Who was the first to open the loop and claim that the criterion is sufficient ?
Linear oscillators are mathematical fiction. Statements like "the non-linear characteristic will bring the poles to the imaginary axis" are of course nonsense. The bias-point of the amplifier will vary with time so the small-signal model of the circuit will vary with time i.e. the eigenvalues of the linearized Jacobian of the differential equations will move around with time in the complex frequency domain. The mechanism behind the steady state behavior is a kind of energy balance. Energy is received from the power source when the poles are in RHP. Energy is dissipated in the loss elements when the poles are in LHP. The frequency is a kind of time average of the imaginary part of the complex pole pair. The Barkhausen criteria is just the obvious observation that the gain around the closed loop of an amplifier and a feed-back circuit is 1 (one) and the phase-shift is 0 (zero or a multiple of 2pi). The Barkhausen criteria is NOT sufficient for start-up of oscillations. Phase-noise is an expression for the variation of the imaginary part of the complex pole-pair during the period of the oscillations.
What else can I help you with?
Under what conditions does the equinox occur?
The conditions on Earth for the equinox to occur must include the following: when the tilt of the Earth's axis is neither pointed towards the Sun or away from the Sun, and the center of the Sun lines up exactly with the Earth's equator.
What season do animal estivate?
Animals will aestivate during periods of heat and drought. Those conditions generally occur during the summer.
Does the desert get a lot of tornadoes?
Tornadoes do occur in deserts but they are rare as weather conditions conducive to tornado formation do not happen often in deserts.
Does photosynthesis occur in autumn?
It is slowing and then stopping come the autumn. It can depend on the weather conditions. A warmer autumn prolongs the photosynthesis a little before it stops.
What type of conditions must be present for mineral fossilization to occur?
An important factor to make fossil formation more likely is rapid burial or coverage of the object so it isn't exposed to much air. There also needs to be an absence of decomposers.
What is Barkhausen criterion?
The Barkhausen criterion is a principle used to determine the conditions required for oscillations in a circuit. It states that for sustained oscillations to occur, the total phase shift around a feedback loop must be an integral multiple of 360 degrees and the loop gain must be equal to or greater than unity.
What are the requirements of oscillation?
For oscillation to occur, there must be a restoring force that brings the system back to its equilibrium position, an initial displacement to start the motion, and a mechanism to absorb and dissipate energy to prevent the system from just swinging back and forth indefinitely. The system must also have inertia to resist changes in motion.
How oscillator are produced in RC-phase shift oscillator?
In an RC phase shift oscillator, oscillations are produced by the feedback network consisting of resistors and capacitors connected in a specific configuration to generate a 180-degree phase shift at the desired frequency. This phase shift, along with the inverting amplifier stage, satisfies the Barkhausen stability criterion for oscillation to occur. The loop gain of the circuit is unity and the phase shift of the feedback network is carefully controlled to ensure sustained oscillations at the desired frequency.
Why is it necessary for oscillation to occur in a circuit?
It is not "necessary" for oscillation to occur in any "arbitrary" circuit. It depends on the design objectives. Please be more specific, and restate the question.
What is the time period of each oscillation?
The time period of each oscillation is the time taken for one complete cycle of the oscillation to occur. It is typically denoted as T and is measured in seconds. The time period depends on the frequency of the oscillation, with the relationship T = 1/f, where f is the frequency of the oscillation in hertz.
What is the time that it takes a complete cycle or wave oscillation to occur is called?
The time it takes for a complete cycle or wave oscillation to occur is called the period. It is usually measured in seconds and is inversely proportional to the frequency of the wave.
How do you calculate the period T of an oscillation?
The period of an oscillation can be calculated using the formula T = 1/f, where T is the period and f is the frequency of the oscillation. The frequency is the number of complete oscillations that occur in one second.
Where does resonance occur?
Resonance can occur in any solid material where the frequency of oscillation in the material is equal to the natural frequency of the material.
What city do el nino occur in?
El Nino is a coupled ocean-atmosphere oscillation. It has effects on most cities in the world.
What doese oscillation mean?
Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples include a swinging pendulum and AC power. The term vibration is sometimes used more narrowly to mean a mechanical oscillation but sometimes is used to be synonymous with "oscillation." Oscillations occur not only in physical systems but also in biological systems and in human society.
What is the difference between underdamped and overdamped oscillations?
Damped (or free) oscillation occurs when an object is set to vibrate at its natural frequency while forced oscillation involves the application of a force to keep an object in constant or repetitive motion.
In what conditions do most boating accidents occur?
Clear conditions
