Differential Amplifier with negative feedback

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DragonChase29

Homework Statement


Textbook problem D 11.33 on a differential amplifier with a voltage divider feedback network (R1, R2), asking for loop gain Aβ, the value of A, and R1 and R2 giving a closed-loop gain of 5 V/V.
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Circuit schematic of a MOS differential amplifier with active load: Q1 and Q2 form the input pair with a 200 µA tail current source, Q3 and Q4 are the current-mirror load, Rs and Vs at the left input, and R1 and R2 form a feedback divider to output Vo, with Rout marked.


Homework Equations


  • Adiff(single-ended)= 1/2gm*ro||Rd
  • β=R2/(R1+R2)

The Attempt at a Solution


I am really confused as to how to find A. I know the feedback of the circuits around the R2 and R1, but I don't understand how the open loop gain can be found. Can someone assist me in deriving it? First question is what gain are they asking for: common mode or differential? I assume differential, but I am honestly lost.
 
Attachments
  • Circuit schematic of a MOS differential amplifier with active load: Q1 and Q2 form the input pair with a 200 µA tail current source, Q3 and Q4 are the current-mirror load, Rs and Vs at the left input, and R1 and R2 form a feedback divider to output Vo, with Rout marked.
    upload_2017-11-6_19-20-22.png
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  • Textbook problem D 11.33 on a differential amplifier with a voltage divider feedback network (R1, R2), asking for loop gain Aβ, the value of A, and R1 and R2 giving a closed-loop gain of 5 V/V.
    upload_2017-11-6_19-21-20.png
    15.6 KB · Views: 1,095
Do you know the meaning of the various given quantities like Vov, VA, ro, RD ?
Note that the gain is Adiff=0.5*gm*ro||RD.
 
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LvW said:
Do you know the meaning of the various given quantities like Vov, VA, ro, RD ?
Note that the gain is Adiff=1/2(gm*ro||RD).

Yes; my concern is whether the open loop gain(A) is just this equation.

Also, thanks for the reply!
 
I have a question to you:
The first of the "relevant" equations (gain) - did YOU write down the formula or were it given as part of the original text?
My question is because I do not think that we need this equation.
So I don`t think we need ro. By the way - what is RD?

In any case: We need the transconductance gm. From where do we get this value?
 
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