8.11. Summary of Equations

Differential-stage bias equation.
Threshold voltage for with VB = VSS and thus VSB = 2IDRbias.
Approximate relation for drain-current imbalance due to kn1 ≠ kn2 and Vtno1 ≠ Vtno2.
, Ideal voltage gain, Rbias → ∞ and gds = 0, gm1 = gm2 = gm.
Gain Vd2/Vg1 = Vo2/Vi for noninverting output with finite Rbias.
Gain Vd1/Vg1 = Vo1/Vi for inverting output with finite Rbias.
Rs = Ris2 || RbiasGain Vd1/Vg1 = Vo1/Vi for inverting output for source resistance, Rs, with gds ≠ 0.
Input at the source of M2 with gds ≠ 0.
Gain Vd2/Vs2 = Vo2/Vs2 for common-gate stage of M2 for gds ≠ 0.
Gain Vs1/Vg1 = Vs1/Vi of source-follower with input at gate of M1 and output at source of M1.
Gain Vd2/Vg1 = Vo2/Vi for noninverting output and gds ≠ 0.
avd12 = –gmRDGain for differential input, differential output with RD1 = RD2 and gm1 = gm2.
Common-mode gain.
Rs = Ris2 || RbiasInverting-input gain Vd1/Vg1 = Vo1/Vi, including body effect.
Input at the source of M2, including body effect and gds ≠ 0.
Common-gate gain Vd2/Vs2 = Vo2/Vs2 of M2, including body effect.
Source-follower gain Vs1/Vg1 = Vs1/Vi of M1, including body effect.
av2 = avsfavcgGain Vd2/Vg1 = Vo2/Vi, including body effect, gds ≠ 0.

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