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LM35: Measurement of negative temperature, concept using diodes

Part Number: LM35
Other Parts Discussed in Thread: TMP235, LM335

I want to know the output voltage in the circuit of FIG.

Looking at other threads of LM35, it was written that the output voltage can be expressed by the following equation.

Vout = 10mV/C + 2 × Vd

Vd is the voltage applied to the diode

When I saw this, I was convinced at first.

But when I thought about the voltage applied to the diode, I felt that it might not be constant.

The voltage across the diode seems to be affected by temperature and current.

I would like to know what the final Vout will be in this situation.

Where should I look at the datasheet and think about it?

There was also a thread recommending TMP235, but is that better?

I want to measure from -20°C upwards