I have a potentiometer that starts at 6k ohms then sweeps up to 10k ohms, I am needing it to control a motorized actuator that uses a 0 ohm to 10k ohm potentiometer, the actuator uses a comparator circuit where the actuator position is controlled relative to the position of the potentiometer, I cannot just replace the 6-10k ohm potentiometer because it is a special style, almost like a tube, and is attached to a board with components in the center of it, is there a device available or circuit that could be built to accommodate this? if not a solution for that, is there a circuit or device available that would allow me to control a servo position with a 6-10k ohm potentiometer that I could then physically mount the 0-10k ohm potentiometer to the servo so the servo would spin it? any input is much appreciated thanks!

 

so basically a circuit that when 6k ohms is appliedto the input, the output would read 0 ohms, then all the way to an input of 10k ohms were the output would be 10k ohms.

 

at 6k ohms then sweeps up to 10k ohms

hi zm,
If I follow your requirement correctly, why not a 6k Fixed resistor in series with a 4k potentiometer .?
https://www.amazon.co.uk/Shaft-Variable-Resistor-Wirewound-Potentiometer/dp/B00E1IH19U

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Can you post a table of the voltages present at the two ends and the wiper of your 6k-10k pot, as you go through its adjustment range?
What voltages are present at the two ends of the 0-10k pot on the actuator?