This is an odd problem that I could use help with. I have an input voltage that ranges from 50mV to 10V that I need to use as a voltage controlled resistor to set an output voltage that is pulled up to 10V with a 1k resistor. The tricky part is that I need this output to be driven to 0 for any input voltage less than 100mV.
This cannot be an open drain circuit since the output is pulled to 10V and I cannot change that. I cannot use a diode drop circuit either for the same reason. I considered a JFET circuit but I need it inverted and close to linear. Ie an input less than 100mV needs to set the output to 0V (less than 10mV), 5V input needs to set the output to near 5V, and a 10V input needs to set the output to near 10V.
Any suggestions would be greatly appreciated. I'm sure I'm forgetting some long lost semiconductor... I even considered a PTC thermistor but making it work for this would be challenging.
Thank you
Edit: Thank you all for the various ideas, I think I have a path forward now. I'll be using the P-CH JFET LSJ74A to short the output below ~200mV and create a small offset above that. Should be sufficient for my needs.

This cannot be an open drain circuit since the output is pulled to 10V and I cannot change that. I cannot use a diode drop circuit either for the same reason. I considered a JFET circuit but I need it inverted and close to linear. Ie an input less than 100mV needs to set the output to 0V (less than 10mV), 5V input needs to set the output to near 5V, and a 10V input needs to set the output to near 10V.
Any suggestions would be greatly appreciated. I'm sure I'm forgetting some long lost semiconductor... I even considered a PTC thermistor but making it work for this would be challenging.
Thank you
Edit: Thank you all for the various ideas, I think I have a path forward now. I'll be using the P-CH JFET LSJ74A to short the output below ~200mV and create a small offset above that. Should be sufficient for my needs.

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