Ok..Yes,
Maby this version will help you:
View attachment 256832
Much better now. Can you derive the symbolic expression? Assuming that Vin = Vref?
((Va-Vref)/R1)+(Va/R2) = 0
Ok..Yes,
Maby this version will help you:
View attachment 256832
Much better now. Can you derive the symbolic expression? Assuming that Vin = Vref?
((Va-Vin)/R1)+(Va/R2) = 0I made a typo. I meant Va = Vref.
Sorry for the confusion.
Vin = Vref (1+(R1/R2))Good. But instead of Va type Vref.
((Vref-Vin)/R1)+(Vref/R2) = 0
And can you solve it for Vin?

To "help" TS quickly find the equation for the threshold voltage. It seems like TS more or less understands how this circuit work.May I ask why we have changed from the Va [non inverting input] to the Vref Node label.?
Vref is usually considered to be the inverting input voltage source
Very good. You did manage to find the equation for Vth2((Vref-Vcc)/(R2+Rp)) + ((Vref-Vin)/(R1)) = 0
Vin = ((R1*(Vref-Vcc))+(Vref*(R2+Rp))) / (R2+Rp)

In my case,Very good. You did manage to find the equation for Vth2
Vth2 = Vin = ((R1*(Vref-Vcc))+(Vref*(R2+Rp))) / (R2+Rp).
And we can simplify it to:
\[ V_{TH2} = V_{REF} - \left((V_{CC} - V_{REF}) \frac{R_1}{R_2 + R_P} \right) \]
So for this circuit, we found out that:
View attachment 257284
\[ V_{TH1} = \left(1 + \frac{R_1}{R_2}\right)V_{REF} \]
\[ V_{TH2} = V_{REF} - \left((V_{CC} - V_{REF}) \frac{R_1}{R_2 + R_P} \right) \]
And if Rp << R2 \[ V_{HYS} = V_{TH1} - V_{TH2} \approx V_{CC} \times \frac{R_1}{R_2} \]
I have positive 5V supply to compactor and negative terminal of compactor is connected to GND. And open collector supply voltage is 2.5V. So, in this case, Shall use the same formulas which are derived in post #70?.If the negative supply for the comparator is at GND then no, you can use the same (above) equations.
And what do you think about it? Can you use it or not?Shall use the same formulas which are derived in post #70?.
You said first that 'NO', then you said (in post #72) that you can use the same formula. This sentence makes me confusion. That's why I'm asking you.And what do you think about it? Can you use it or not?
If I use the above formulas (from Post # 70), and I have a two different voltage supplies (as I said in post # 71). In this case, Should I use VCC (from VTH2 formula) value as either voltage value of the comparator supply voltage or voltage value of open collector supply voltage?.If the negative supply for the comparator is at GND then you can use the same (above) equations.