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To start the oscillation with the constant amplitude, positive feedback is not the only sufficient condition. Oscillator circuit must satisfy the following two conditions known as Barkhausen conditions:
1. The first condition is that the magnitude of the loop gain (Aβ) must be unity. This means the product of gain of amplifier 'A' and the gain of feedback network 'β' has to be unity.
2. The second condition is that the phase shift around the loop must be 360° or 0°. This means, the phase shift through the amplifier and feedback network has to be 360° or 0°.
In practice, to obtain the sustained oscillations at desired frequency of oscillations, oscillator circuit must satisfy some of the basic requirements such as,
- Circuit must have positive feedback
- When positive feedback is used in the circuit, the overall circuit gain is given by,
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How sine wave generate?
A sine wave is a type of signal that oscillates in a smooth, repetitive pattern. It can be generated electronically using oscillators or digitally through algorithms that produce the characteristic waveform. The mathematical equation for a sine wave involves the sine function, which defines the amplitude, frequency, and phase of the wave.
What is the sine wave equation and how is it used to represent periodic oscillations in various fields?
The sine wave equation is y A sin(Bx C), where A is the amplitude, B is the frequency, and C is the phase shift. It is used to represent periodic oscillations in fields like physics, engineering, and music by showing how a wave varies over time. The equation helps to visualize and analyze the behavior of oscillating phenomena, such as sound waves, electrical signals, and mechanical vibrations.
What is coumpound oscillation?
Compound oscillation refers to multiple individual oscillations that are occurring simultaneously and influencing each other. This can result in complex waveforms and patterns of motion. An example is the combination of two or more sine waves with different frequencies or amplitudes.
What shape does a wave have?
A wave is a disturbance that travels through a medium, causing oscillations. Depending on the type of wave, it can have different shapes, such as sine, cosine, or triangular waveforms. These shapes represent how the amplitude of the wave changes with respect to time or distance.
What type of waveform a wein bridge oscillator generates?
A Wien bridge oscillator generates a sinusoidal waveform. The oscillation frequency can be determined by the components of the circuit, typically in the audio frequency range. The circuit is designed to provide sustained oscillations at the desired frequency.
