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final_s07

# final_s07 - Massachusetts Institute of Technology...

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Problem 1: 8 points D v DS S v GS G Figure 1. A MOSFET (shown in Figure 1) operating in the triode region has a characteristic i DS rela- tionship which depends on both v DS and v GS : 2 i DS = K ( v GS V T ) v DS v DS / 2 where v GS > V T and v DS v GS V T . The small-signal relationship between i ds , v gs , and v ds can be expressed by an equation of the form i ds = Av gs + Bv ds where A and B are constants. Assume that the device is biased at an operating point ( V GS , V DS ). (1A) (4 points) Draw the 2-element small-signal model for the device which is operating in the triode region. Express the element values in terms of A and B . Small-signal equivalent circuit: 2 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].
(1B) (4 points) Find the values of the constants A and B in the two-element small signal model for the MOSFET operating in the triode region, i ds = Av gs + Bv ds Formulate your answers in terms of the variables K , V GS , V T , and V DS . A = B = 3 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].

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Problem 2: 4 points A and B are 1 bit numbers. Each of them can take on the positive integer values 0 or 1.
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final_s07 - Massachusetts Institute of Technology...

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