TechOverflow Logo
TechOverflow

How to compute value range over tolerance in Python using UliEngineering

You can easily compute the range of a component value based on its tolerance using the UliEngineering Python library:

value_range_over_tolerance.py
from UliEngineering.Electronics.Tolerance import value_range_over_tolerance
from UliEngineering.EngineerIO import *

# Compute range for 10k resistor with 5% tolerance
min_val, max_val = value_range_over_tolerance("10k", 0.05)
print(f"Range (10k, 5%): {format_value(min_val, 'Ω')} to {format_value(max_val, 'Ω')}")

# Compute range for 1µF capacitor with 10% tolerance
min_val, max_val = value_range_over_tolerance("1uF", 0.10)
print(f"Range (1µF, 10%): {format_value(min_val, 'F')} to {format_value(max_val, 'F')}")

Example output

value_range_over_tolerance_output.txt
Range (10k, 5%): 9.50 kΩ to 10.5 kΩ
Range (1µF, 10%): 900 nF to 1.10 µF

The value range over tolerance calculates the minimum and maximum values a component can have based on its specified tolerance percentage. This is essential for circuit design to ensure proper operation accounting for manufacturing variations, and for determining worst-case circuit behavior under component value variations.

The range is computed using the formulas: $V_{min} = V_0 \times (1 - \text{tolerance})$ and $V_{max} = V_0 \times (1 + \text{tolerance})$, where $V_0$ is the nominal value and tolerance is expressed as a decimal (e.g., 0.05 for 5%). This provides the symmetric range around the nominal value.

Check out similar posts by category: Electronics, Python