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Find the differential half-circuit for the differential pair shown below and use it to derive an expression for the differential gain Ad≡vod/vid in terms of gm, RD and Rs. You may neglect ro (Early resistance of the MOSFETs) in derivation. What is the gain with Rs = 0 ? What is the value of Rs (in terms of 1/gm ) that reduces the differential gain to half of this value?

Find the differential half-circuit for the differential pair shown below and use it to derive an expression for the differential gain Ad≡vod/vid in terms of gm, RD and Rs. You may neglect ro (Early resistance of the MOSFETs) in derivation. What is the gain with Rs = 0 ? What is the value of Rs (in terms of 1/gm ) that reduces the differential gain to half of this value?

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Find the differential half-circuit for the differential pair shown below and use it to derive an expression for the differential gain A d ≡ v o d v i d in terms of g m , R D and Rs. You may neglect r o (Early resistance of the MOSFETs) in derivation. What is the gain with R s = 0 ? What is the value of R s (in terms of 1 / g m ) that reduces the differential gain to half of this value?

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