tagasipeegelduskoefitsienti

The tagasipeegelduskoefitsient (often referred to in English as the *feedback coefficient* or *feedback factor*) is a concept primarily used in control theory and electronics, particularly in the study of operational amplifiers and feedback circuits. It quantifies the proportion of an amplifier’s output that is fed back to its input, influencing the system’s stability, gain, and performance.

In a feedback loop, the tagasipeegelduskoefitsient (denoted as β) determines how much of the output signal is returned to the summing node of the amplifier. For example, in a non-inverting amplifier configuration, a portion of the output voltage is routed back to the inverting input via a voltage divider. The value of β ranges between 0 and 1, where β = 0 indicates no feedback (open-loop operation), and β = 1 represents full feedback (ideal negative feedback).

The feedback coefficient plays a critical role in shaping the closed-loop gain of an amplifier. According to the feedback equation, the closed-loop gain (A_cl) is given by:

A_cl = A_ol / (1 + A_ol * β)

where A_ol is the open-loop gain. When A_ol is much larger than 1, the closed-loop gain simplifies to 1/β, demonstrating how feedback can stabilize and precisely control gain regardless of component variations.

In practical applications, the tagasipeegelduskoefitsient helps mitigate nonlinearities, reduce distortion, and enhance bandwidth. However, improper feedback design can lead to instability, such as oscillations, if the loop gain exceeds unity at certain frequencies. Engineers carefully select β to ensure system stability while achieving desired performance characteristics.