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The trimmer resistor is a calibration device used to correct (trim) the resistance of some other resistor. An example might be the feedback loop of an op-amp in common mode. If you wanted a gain of two, you might use a resistor divider with a two to one ratio. Resistors have tolerance, however, so the stated value will not be exact. You place a trimmer resistor in series with one of the other resistors, picking the value so that, if the two other resitors were exact, the trimmer is set to midpoint, and that the trimmer's range covers the expected tolerance of the other resistors. Then you calibrate the circuit to the expected gain using the trimmer.

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Q: Function of trimmer resistor
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