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LM35 load current

Other Parts Discussed in Thread: LM35

trying to find out if the LM35 can regulate it's output with current applied to the output pin.  The spec only covers load current flowing out of the part.  In my application, I have a 2.5v reference voltage applied to the output pin thru 20K resistor.  The output voltage goes to 1.7v at room temperature.  Without the 2.5v, 20k load, it provides the expected .25v output.  Just looking for conformation that the part is limited to positive load current regulation.