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anb2020
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Is there a mathematical proof that the positive feedback makes the op-amp saturated?
http://i.imgur.com/71PNh.png
http://i.imgur.com/71PNh.png
the_emi_guy said:Do you understand why it saturates (non-mathematical seat of the pants explanation)?
A mathematical proof for positive feedback is a rigorous and logical demonstration that a system with positive feedback will exhibit exponential growth or instability.
Positive feedback in mathematics refers to a process in which the output of a system is used as an input, leading to an increase in the output. This results in exponential growth or instability in the system.
Mathematical proof is important for positive feedback because it provides a solid foundation for understanding and predicting the behavior of systems with positive feedback. It allows us to make accurate and reliable predictions about the behavior of these systems.
Some common examples of positive feedback in mathematics include population growth, compound interest, and the spread of diseases. In each of these cases, the output of the system (population, money, or number of infected individuals) is used as an input, resulting in continuous growth or increase.
Mathematicians use positive feedback to solve problems by first identifying systems that exhibit this type of behavior. They then use mathematical models and equations to analyze and predict the behavior of these systems. By understanding the underlying mechanisms of positive feedback, mathematicians can find solutions to real-world problems and make accurate predictions about the future behavior of these systems.