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UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2...

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Page 1: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 2: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 3: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 4: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 5: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 6: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 7: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 8: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 9: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 10: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will

Problem 2, 25 points

R dl

Rgen

vgen

R

\( cC j R isi sz. LL

In the amplifier above,Rgen=100kOhm, Rgla=Rglb=500kOhm,Rsl=Rs2=100 Ohms. VDD=5Voltsgml=5 mS, gm2=10mSRdl=l kOhm, Rd2=2kOhm, RL=10kOhm.Cin, Cout, Csl, Cs2 are all very largeCgsl=OfT, Cgld=5fF, Cgs2=0 fF, Cgd2=10fFGdsl=Gds2=OmSPart a: 4 pointsdraw below a small-signal representation of the circuit, but with the transistorsrepresented by transistor symbols, not small-signal hybrid-pi models

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Page 11: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will

Part b, 6 pointsFind the small-signal voltage gain of the two stages:

Voutl/Vinl=Vdl/Vgl=Vout/Vin2=Vd2/Vg2-=

V, —-L|rwr

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Page 12: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will

Part c. 1 0 pointsusing the method of time constants, find al and a2 of the circuit transfer function:

ai=a2=

RXT

-f

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Page 13: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will

Part d, 5 points

There may be either 1 or 2 poles of the transfer function.

If the poles are real^ give the 1 or 2 rjo.|e frequencies in Hz:/„=.If there are 2 poles, and they are complex, give fn = con I In and the damping factor £ :

f

^P^>-J

Jff=- •>f&A,

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Page 14: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 15: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will
Page 16: UCSB · 2016. 5. 27. · Mid-Term Exam, ECE-137B Tuesday, May 3, 2016 Closed-Book Exam There are 2 problems on this exam , and you have 75 minutes. 1) show all work. Full credit will

Part d, 5 points

Can you describe the behavior of Z(s) in terms of a simpler equivalent circuit ?

-to

bdwes. li

2 = }/Q

open,

In Jmli\j , C fcko, ^

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