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mid2sol

# mid2sol - Spring 2009 Name ‘17\7 V V V VV l U R...

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Unformatted text preview: Spring 2009 Name ‘17 \7 V V V VV l * U R Date :9386/2009 five“;- ' ,4? (Please print) ID# EE 3115 Analog and Digital Electronics Midterm Exam 2 Problem 1 (35 pts) Problem 2 (40 pts) Problem 3 (25 pts) Total (100 pts) Closed book, closed notes . A one—sided page of crib sheet is allowed . Remember to print your name and write your ID# Show all your work. Be sure to put units on your answers where appropriate. Read and solve each problem carefully . Answer the questions the way they are asked . Test time : 50 minutes Problem 1 (35 pts) Study the circuit below : R! (1.5142) C (0‘ 5%” 1.. Vi Q= (2 “9-) Va 1) (10 pts.) Write an expression of the transfer function H ( f) = If; in terms of C, R1 , R2 and frequency f . 2) (5 pts) Calculate numerical value of the break frequency f]; . 3) (15 pts) Sketch Bode magnitude and phase plots of the transfer function HG) , showing numerical values for the magnitude (dB) , phase (degrees) and frequency (Hz). 4) (5 pts) Given yH( f)1=—50 dB .Firid Hg). 91 3 , RI, , — D 5) HM}: V W 3 5 Hr Jlﬁfﬁfﬁwﬁz) - P2, l , __ Q) .L 3 («ﬂ—WW“ kid's??? Eflkl) _ 927% “mic (124+ P2 > ' we if Minsk-LI) 2 ' /. : "TU" ﬁﬁﬁﬁ '—"’ Wi‘a‘e '“ me _ is T) 3 ‘1 w W — —-= Problem 2 (40 pts) Study the circuit below : 1) (5 pts) Identify type of the feedback . 2) (12 pts) Determine the value of the feedback ratio B . 3) (7 pts) Derive the equation (Show work) and show the relationship between variation of the closed ~ loop gain and that of the open — loop gain . 4) (6) Using the result in 3) , calculate the variation (in percentage) of the closed — loop gain A (f) when the open ~loop gain A :104 i10% .?. X . . 5) (10 pts) Calculate 3‘} 1n the block diagram shown below . Problem 3 (25 pts) The ampliﬁer gain function is A®= W S (“W The Bode magnitude and phase plots of this ampliﬁer are shown in the ﬁgures below : mam-xi <dH~ Ii) 1‘; . may 70163 mug/21 {Raw—MM.“ . .., 4r: ; (:7 3 , I . 40;.” W. - M“. mm k , 7- 1x 10k um 2M m: E T: '- Q '2, fink-mug: h I Z w ‘ sm-&_ Jﬁ (“Zia ; \ P 1: )0 5 066.5 —03 , \'\ M/ _____________ “x! M "— \K 15D 1) (10 pts) Calculate value of the [3 critical (or ,6”) using the above ﬁgures and data therein (hint : [3 critical is the maxium [3 for stability . The ﬁrst step is to locate the ﬁequency fGM at which the phase is 180 degrees ) . 2) (8 pts) Calculate value of 8 critical ,using the ampliﬁer gain function A (s) . 3) (7 pts) What is the gain margin (approximately) for B: 0.003 . Show ,Work . A(§):’;QJ¢:|’/ Edd/j»! :} U“) {Maﬁa (EMS) W, A 4,“): 34280" 7 I." 3 _ l . 77 r m_ f a ,0 ) \Al ’ X 3 {2 l/ll ...
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mid2sol - Spring 2009 Name ‘17\7 V V V VV l U R...

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