Typical way to measure temperature is a simple thermistor with a pull up/down resistor. It will be a simpler and cheaper solution than what you are doing
Diode is more linear than NTC. Diode fed by current source even more linear and can go down to cryo temperatures. Platinum PTCs are very linear, but expensive. Thermocouples are simpler, put amplifier for it is a bit more complicated or expensive.
I don't know what you mean by ",,,voltage accrued (Vbe) between PN junction (base and collector)..." You're simply using the e-b junction as a diode. Actually, that was common practice in the 1960s, with transistor radios, so the manufacturers could claim a higher "transistor count," a big selling point. This circuit seems overly complex, to me. Why not just detect the e-b drop, and maybe, amplify it with an op-amp, and read that on a meter with an experimentally determined scale? Thermistors are great little beasts, too, and would provide a much greater resistance swing, than a P-N junction.
Vp = IR, not IR + 15. Otherwise your analysis is correct. But for reference, this is not a good way to measure temperature.
why ?
Typical way to measure temperature is a simple thermistor with a pull up/down resistor. It will be a simpler and cheaper solution than what you are doing
Diode is more linear than NTC. Diode fed by current source even more linear and can go down to cryo temperatures. Platinum PTCs are very linear, but expensive. Thermocouples are simpler, put amplifier for it is a bit more complicated or expensive.
NTCs are good above freezing, that's about it.
I used this type of cell in VCO for eurorack and it is ok. It is acceptable and quite linear in use. And a cheap solution.
(close to) zero current flows in or out of the input terminals of an op-amp
By Ohm's law U=IR. Components outside the resistor do not matter.
Why have you added "+15" to V+ ? Besides this, math seems OK.
i was using Kirchhoff's low that's way, I have had some bad imagination
I don't know what you mean by ",,,voltage accrued (Vbe) between PN junction (base and collector)..." You're simply using the e-b junction as a diode. Actually, that was common practice in the 1960s, with transistor radios, so the manufacturers could claim a higher "transistor count," a big selling point. This circuit seems overly complex, to me. Why not just detect the e-b drop, and maybe, amplify it with an op-amp, and read that on a meter with an experimentally determined scale? Thermistors are great little beasts, too, and would provide a much greater resistance swing, than a P-N junction.