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LMP2012: Current Sense Circuit fails in low temperature

Part Number: LMP2012
Other Parts Discussed in Thread: OPA365, OPA387, OPA328, OPA392

Hi Everyone.

I am using a LMP2012 for a current sense circuit as following

This circuit inherits from a old OPA365 version, and works very well.

Unfortunately, when I changed OPA365 to LMP2012 and kept all the resistors and capacitors  untouched, this circuit fails.

The output of the LMP2012 was always 3.3v nomatter what the real current is in LOAD.

Firstly, I guess the rail-to-rail performance of LMP2012 is not as good as OPA365, and change the attenuation resistor (R2 and R4)from 10k to 4.7k to reduce the input voltage of LMP2012

This new circuit works in room temperature, but when the temperature descends below 0 centigrade,the output of LMP2012 goes up again and finally stops at saturated point of 3.3V at -10 centigrade.

So my question is which parameter difference betweet LMP2012 and OPA365 cause this problem and how to solve it if I have to use LMP2012 instead of OPA365.

Thank you in advance.

Tim