9.20 Find the differential half-circuit for the differential amplifier

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9.20 Find the differential half-circuit for the differential amplifier shown in Fig. P9.20 and use it to derive an expression for the differential gain Ad ≡ vod/vid in terms of gm, RD, and Rs. Neglect the Early effect. What is the gain with Rs = 0 ? What is the value of Rs (in terms of 1/gm ) that reduces the gain to half this value? Figure P9.20

9.20 Find the differential half-circuit for the differential amplifier shown in Fig. P9.20 and use it to derive an expression for the differential gain Ad ≡ vod/vid in terms of gm, RD, and Rs. Neglect the Early effect. What is the gain with Rs = 0 ? What is the value of Rs (in terms of 1/gm ) that reduces the gain to half this value? Figure P9.20

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9.20 Find the differential half-circuit for the differential amplifier shown in Fig.P9.20 and use it to derive an expression for the differential gain

A_{d} \equiv v_{o d} / v_{i d}

in terms of

g_{m}, R_{D}

, and

R_{s}

. Neglect the Early effect. What is the gain with

R_{s} = 0

? What is the value of

R_{s}

(in terms of

1 / g_{m}

) that reduces the gain to half this value?

Figure P9.20

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