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You are almost there!.Ok so let me see if I have this right. R2 is connected to one end and R3 is connected to the other. There is always 10k ohms through the pot in this configuration. The wiper terminal is connected to the op amp, and moving it ONLY adjusts voltage beween max and min.
If this is correct, does the op amp see the 10kohms from the pot?
The opa dosnt see the resistance, it sees the voltage at the wiper of the pot.
The voltage on the wiper can be varied fro +0.5V thru +11.5V.