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# Fundamentals of Microelectronics

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Unformatted text preview: 9.7 Let R 2 be the resistance seen looking into the collector of Q 2 . R out = r o 1 + (1 + g m 1 r o 1 ) ( r π 1 bardbl R 2 ) Note that this expressoin is maximized as R 2 → ∞ . This gives us R out,max = r o 1 + (1 + g m 1 r o 1 ) r π 1 9.9 R out ≈ 1 I C 1 V A V T βV A V T V A + βV T (Eq. 9.9) = 1 I C 1 V A V T βV T = βV A I C 1 = βr o This resembles Eq. (9.12) because the assumption that V A ≫ βV T can be equivalently expressed as V A I C ≫ β V T I C r o ≫ r π This is the same assumption used in arriving at Eq. (9.12). 9.12 I D = 0 . 5 mA R out = r o 1 + (1 + g m 1 r o 1 ) r o 2 = 1 λI D + parenleftBigg 1 + radicalbigg 2 W L μ n C ox I D 1 λI D parenrightBigg 1 λI D ≥ 50 kΩ λ ≤ . 558 V − 1 9.15 (a) V D 1 = V DD − I D R D = 1 . 3 V > V G 1 − V TH = V b 1 − V TH V b 1 < 1 . 7 V (b) V b 1 = 1 . 7 V V GS 1 = V b 1 − V X = V TH + radicalBigg 2 I D ( W L ) 1 μ n C ox = 0 . 824 V V X = . 876 V 9.16 (a) Looking down from the source of M 1 , we see an equivalent resistance of...
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ch09sol - 9.7 Let R 2 be the resistance seen looking into...

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