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Potentiometer Question

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A potentiometer has constant resistance. The wiper point moves.

If you want a variable resistance, you can use a potentiometer by connecting to the wiper and one end.

To limit to 2kΩ to 6kΩ, you can physically limit the travel, or you can put a 6.666kΩ (6.8kΩ would probably do) in parallel with the potentiometer and a 2kΩ resistor in series with the combination.
 
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