Differential Mode Gain: Positive Gain With -Vid/2?

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SUMMARY

The discussion centers on the differential mode gain of a specific differential amplifier circuit, where the output behavior contradicts the expected results based on input polarity. When using the second differential input (-Vid/2), the calculated gain is positive, while the first input (Vid/2) yields a negative gain. This is contrary to the anticipated behavior where negative inputs should produce negative gains and vice versa. The circuit analysis involves small signal models and calculations using parameters such as ib, rpi, Ree, Rc, and Rcc, leading to confusion regarding the gain calculations.

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FOIWATER
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In the following diff amp, only one output is taken from collector two.

When I calculate the differential mode gain using the second differential input (-Vid/2) I get a positive gain. When I calculate the differential mode gain using the first differential input (Vid/2) I get a negative gain.

A spice simulation of this circuit shows that the output is positive.

I would then expect to get a negative gain for (-vid/2) and a positve gain for (vid/2)

Does someone know why that is not the case?
 

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Not sure how you are calculating gain. The basic operation is that when V+ is greater than V-, Q2 will try to turn off.
 
I made a small signal circuit out of the above using a differential mode half circuit. with the input as -Vid/2, I have -Vid/2 = ib(rpi + (1+b)*Ree/2) <-- (virtual ground between Ree/2 for diff mode.)

Vodm = -beta*ib*(Rc||Rcc/2) <--- another virtual ground between Rcc/2

Solving for adm = vodm/vid I get a positive number.

However, I would expect my negative input to be multiplied by a negative gain and give a positive output.

The same is true for Vid/2, I would expect it to be multiplied by a positive gain.

Am I missing things?

Thanks for the feedback
 

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