Minimum ohms on 0-10v input?

Its "suitable for 0-10v". Had to use magnifying lens. It is like a sprung wound potentiometer, I think. A cable comes out of the sensor and attaches to the moving mechanism you want to sense/track. You can have it in your hand, with no power applied, hook-ed up to ohm meter, and watch the resistance climb as you pull out the cable. So, I don't think there is any circuitry inside. I think it is just a simple potentiometer that is spring return to zero ohms
Anyway, there are three leads and on the one symbol... it looks like the "wiper" symbol that AB uses on their 10k pots.
It has 19 inches of pull cable and the resistance is quite linear. I've seen POWERED versions of it on the internet and they are called "string sensors."
Hope this answers all your questions.
 

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