Amplify a potentiometer section
I know it's a month old, but the existing answer seems to miss the question a bit as I read it, so here goes:



If it feeds an ADC or other device that expects a voltage input rather than resistance (the pot is simply an adjustable voltage divider), then you could do this:







simulate this circuit &ndash; Schematic created using CircuitLab

The Gain and Offset controls will have some interaction, but that's probably okay for a set-and-forget application, and it's hard to beat the parts count.  Set them to provide the correct response given the available travel from the (now standard) Input pot.

Ideally, the opamp should be a rail-to-rail type.  Others may have lower distortion, higher bandwidth, or some other attractive performance characteristic, all of which are easily unnoticed or subconsciously corrected for in a manual control, but they will clip before they reach the full supply.  In this application, you need as much range as you can get.

I'm using 10k pots instead of the original 5k because the scooter's signal input doesn't see any of them.  Their only effect from that perspective is their supply current.  You could also use 100k or anything in between if you happen to have them.