LM339 Lipo Battery Voltage Tester Circuit - How does it work?

Published: 5/09/2019
LM339 Lipo Battery Voltage Tester Circuit - How does it work?
Source: ELECTRONICS.STACKEXCHANGE.COM

After reviewing the eevblog video on OpAmps and various other videos on the LM339, as well as copying a circuit which works, I am still genuinely confused on the math / logic behind this, which makes it hard to move on to more complicated and customized circuits. To the best of my understanding, a circuit like this comparing voltages from two sets of voltage dividers should result the same even if

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