4902C2009hw3

# 4902C2009hw3 - EE4902 C2009 HW Set 3 Due in class Friday...

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EE4902 C2009 HW Set 3 Due in class Friday February 6. To make life easier on the grader: Be sure your NAME and ECE MAILBOX NUMBER are prominently displayed on the upper right of what you hand in. When appropriate, indicate answers with a box or underline Work as neatly as possible You may assume T = 300K unless otherwise indicated. 1) [Math practice: Deriving the "other" transconductance expressions.] In class, starting from the simple square law model in the active region I D = μ n C ox 2 W L V GS " V TH ( ) GATE " OVERDRIVE " 1 2 4 3 4 2 (1) we showed that the transconductance is equal to g m = dI D dV GS = n C ox W L V GS " V TH ( ) GATE " OVERDRIVE " 1 2 4 3 4 (2) Note that the g m expression in equation (2) involves the device size W/L and the DC gate voltage overdrive V GS -V TH , but not the DC drain current I D . Sometimes in design it is more convenient to have an expression that uses I D and V GS -V TH but not W/L g m = I D V GS " V TH ( ) 2 = 2 I D V GS " V TH ( ) (3) or an expression that involves I D and W/L but not V GS -V TH g m = 2 I D n C ox W L (4) For this problem: do the math to show how equations (3) and (4) can be derived from equations (1) and (2). 2) [MOSFET characteristics] Text problem 2.1 (pg. 39). Use the MOSFET parameters in Table 2.1 on page 37. 3) [MOSFET characteristics] Text problem 2.2 (pg. 39). Use the MOSFET parameters in Table 2.1 on page 37. The intrinsic gain is an ideal that sets an upper limit on the gain that can be achieved with a single MOSFET in the common source configuration.

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4) [Current source design: L vs. λ : current source for desired r out ] In the process parameters on p. 37 you used for text problems 2.1 and 2.2 (the previous problems): The channel-length modulation parameter λ (LAMBDA) is given directly, but only for the case of L=0.5μm: λ n = 0.1 V -1 for NMOS with L = 0.5μm λ p = 0.2 V -1 for PMOS with L = 0.5μm In class we showed that the channel length modulation parameter λ is determined by the fractional change in channel length L cause by a change in V
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## This note was uploaded on 10/13/2009 for the course ECE 4902 taught by Professor Mcneill during the Spring '01 term at WPI.

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4902C2009hw3 - EE4902 C2009 HW Set 3 Due in class Friday...

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