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How to compute feedback bottom resistor in Python using UliEngineering

You can easily compute the feedback bottom resistor value for an op-amp circuit using the UliEngineering Python library:

feedback_bottom_resistor.py
from UliEngineering.Electronics.VoltageDivider import feedback_bottom_resistor
from UliEngineering.EngineerIO import *

# Compute feedback bottom resistor for gain of 2 with 10k top resistor
rbottom = feedback_bottom_resistor(2.0, "10k")
print(f"Feedback bottom resistor (gain 2, 10k top): {format_value(rbottom, 'Ω')}")

# Compute feedback bottom resistor for gain of 5 with 40k top resistor
rbottom = feedback_bottom_resistor(5.0, "40k")
print(f"Feedback bottom resistor (gain 5, 40k top): {format_value(rbottom, 'Ω')}")

# Compute feedback bottom resistor for gain of 10 with 90k top resistor
rbottom = feedback_bottom_resistor(10.0, "90k")
print(f"Feedback bottom resistor (gain 10, 90k top): {format_value(rbottom, 'Ω')}")

Example output

feedback_bottom_resistor_output.txt
Feedback bottom resistor (gain 2, 10k top): 10.0 kΩ
Feedback bottom resistor (gain 5, 40k top): 10.0 kΩ
Feedback bottom resistor (gain 10, 90k top): 10.0 kΩ

The feedback bottom resistor calculation determines the required feedback resistor value for an inverting or non-inverting amplifier configuration given a known top resistor and desired gain. This is essential for op-amp circuit design, signal conditioning, and analog signal processing when the top resistor value is predetermined by other constraints.

The feedback bottom resistor is computed using the formula: $R_{bottom} = \frac{R_{top}}{A - 1}$, where $A$ is the desired gain and $R_{top}$ is the known top feedback resistor value. This is the inverse operation of computing the top resistor and is useful when standard resistor values or component availability constraints dictate the top resistor choice.

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