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How to compute pixel capacitance from terminal capacitance in Python using UliEngineering

You can easily compute the pixel capacitance from terminal capacitance using the UliEngineering Python library:

pixel_capacitance_from_terminal_capacitance.py
from UliEngineering.Electronics.Capacitors import pixel_capacitance_from_terminal_capacitance
from UliEngineering.EngineerIO import *

# Compute pixel capacitance for 100pF terminal with 10x10 array
cp = pixel_capacitance_from_terminal_capacitance("100pF", 10, 10)
print(f"Pixel capacitance (100pF, 10x10): {format_value(cp, 'F')}")

# Compute pixel capacitance for 50pF terminal with 8x8 array
cp = pixel_capacitance_from_terminal_capacitance("50pF", 8, 8)
print(f"Pixel capacitance (50pF, 8x8): {format_value(cp, 'F')}")

Example output

pixel_capacitance_from_terminal_capacitance_output.txt
Pixel capacitance (100pF, 10x10): 1.00 pF
Pixel capacitance (50pF, 8x8): 780 fF

The pixel capacitance calculation determines the capacitance of individual pixels in an array when the total terminal capacitance is known. This is essential for imaging sensor design, display technology, and any application involving pixelated capacitive arrays where the total capacitance is measured but individual pixel characteristics are needed.

The pixel capacitance is computed using the formula: $C_{pixel} = \frac{C_{terminal}}{N \times M}$, where $C_{pixel}$ is the individual pixel capacitance, $C_{terminal}$ is the measured terminal capacitance, and $N \times M$ is the total number of pixels in the array. This assumes all pixels have equal capacitance and are connected in parallel.

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