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2010MT2 - EECS 413 Midterm 2 2010 Exam duration 1 hour 30...

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Unformatted text preview: EECS 413 Midterm 2 2010 Exam duration: 1 hour 30 minutes 4 questions Name: '0 o’u Honor Pledge ( to be signed at the end of the exam) I have neither given nor received unauthorized aid on this examination, nor have I concealed any violations of the Honor Code. Signed: Question 1 (a) Assume rb=0 (base parasitic resistance). Q1, Q2 are operating in the forward active region. Assume VA is infinite. Write an expression for the low-frequency small-signal gain (i.e. Vent/Vin). -gm/ ‘47 ‘5'“. What is the value of low frequency small-signal gain? =-1 (b) Ignore channel length modulation. Assume M1 and M2 are in saturation. Write an expression for the low-frequency small-signal gain (i.e. Venn/Vin) in terms of the transistor small-signal parameters. (c) VDD Assume M1 is in saturation. Ignore all capacitances except C. Ignore channel—length modulation. Write expressions for the low frequency small signal gain (A) and bandwidth (B) of the amplifier. 5" A.“ = ‘ fl- ‘5 [S g C. If the drain current of M1 is halved by adjusting Vaias, then write expressions for the gain and bandwidth in terms of the original gain (A) and bandwidth (B). (d) Assume M1 is identical to M2, and assume both are in saturation. Ignore channel length modulation. Write an expression for the low frequency small-signal gain (i.e. Vow/Vin). [Hintz it might help to redraw the circuit] M1 and M2 are in saturation. Ignore charmel length modulation. Ignore all capacitors except CL. The input signal is fully differential. M1 and M2 are identical. If switch S is open, write an expression for the low-frequency small—signal gain. .. 2 9” a What is the common-mode output voltage? (fie. j:ssh. +‘°- 0am 5:64.) If switch S is closed, write an expression for the low-frequency small-signal gain. VW-I”2 ” am?- What is the common mode output voltage? V09 - 155 a \ I“ O Q If switch S is open, write an expression for the frequency-dependent small-signal gain. \ 1+SCZQ. _%[email protected] Identify any poles/zeros. If switch S is closed, write an expression for the frequency-dependent small-signal gain. .. 9,. R___L Hch Identify any poles/zeros, up: ')’ Ignore channel length modulation. M1 and M2 are in saturation. Ignore all capacitors except those shown. Write an expression for the low-frequency small-signal gain (i.e. Vow/Vin). 7. 2‘3”: 9M3, R Write an expression for the frequency-dependent small-signal gain (i.e. Vow/Vin). 7_ gm aha" \ ,__\_. 1+5c4< |+ SLth 0 Identify any poles/zeros, Sketch a Bode and phase plots Ignore channel length modulation and ignore the body effect. Assume M l and M2 are operating in saturation. M1 and M2 are identical Write an expression for the low-frequency, small-signal gain. 10 Write an expression for the frequency-dependent small-signal gain (i.e. vo/vin). (Hint: Remember to ignore channel length modulation) Also identify poles and/or zeros. _____.‘ i 2' IVA-“c. + ’3. )Z¢*SC 1-!- L} RC; ..= 3/2. 3 (1* SIZC) ( l-r‘zscue) _.} 1.1L \}\.0 \_ x. E o 11 0 Sketch Bode and Phase plots W K’ 94 (+4 I 1' :2 0° #5,; 12 Write an expression for the common-mode to differential-mode gain. an 13 ...
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