ece137a_ps8_2008

ece137a_ps8_2008 - Q2: gs C = gd C =0. ds R =infinity gm1=...

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1 ECE137A Problem set 8 V in C V out R Problem 1 : Ignore DC bias analysis. You don’t need it. The transistor has transconductance gm. Its output resistance Rds is infinity. (a) Draw a small-signal equivalent circuit of the circuit. (b)gm=200 mS. C=10 pF. R=500 Ohms Find, by nodal analysis, a small-signal expression for Vout(s)/Vin(s) . (c) Find any/all pole and zero frequencies of the transfer function, in Hz. (d) Draw a clean Bode Plot of Vout/Vin. On the plot, LABEL AXES, LABEL all relevant gains and pole or zero frequencies, Label Slopes. The plot should be drawn on printed semilog paper, and should have axes of Hz, (not rad/sec) and dB. (e) Vin(t) is a 100 mV amplitude step- function. Find Vout(t). Draw a clean graph. Vin Q1 Q2 C R Vout Problem 2 : This circuit is called a super- buffer. Ignore DC bias; you don't need it. Q1: gs C = gd C =0. ds R =infinity.
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Unformatted text preview: Q2: gs C = gd C =0. ds R =infinity gm1= 10 mS. gm2=20 mS. R=1000 Ohms. C=1 pF. (a) Draw an accurate small-signal equivalent circuit model of the circuit Do not show components whose element values are zero or infinity. (c) Using NODAL ANALYSIS, find the transfer function Vout(s)/Vgen(s). The answer must be in standard form ... 1 ... 1 ) ( ) ( 2 2 1 2 2 1 + + + + + + = s a s a s b s b V V s V s V DC gen out gen out (c) Find any/all pole and zero frequencies of the transfer function, in Hz. (d) Draw a clean Bode Plot of Vout/Vin. On the plot, LABEL AXES, LABEL all relevant gains and pole or zero frequencies, Label Slopes. The plot should be drawn on printed semilog paper, and should have axes of Hz, (not rad/sec) and dB. (e) Vin(t) is a 100 mV amplitude step-function. Find Vout(t). Draw a clean graph....
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This note was uploaded on 08/06/2008 for the course ECE 137AB taught by Professor Rodwell during the Winter '08 term at UCSB.

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