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test2_fall05

# test2_fall05 - I ECE 3041 Lecture THURSDAY NOVEMBER 3,6-7 p...

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I ECE 3041 Lecture Exam No.2 Fall 2005 THURSDAYNOVEMBER3,6-7 p. M. GTID No.9 . Name \~ :e~a- Instructions. Totally Closed Book and Note. Calculator Permitted. Four Equally Weighted Problems. All Work Must Be Shown for Credit. 1. What is the current i3(t) in the circuit shown below when t = 2 ms? The source is e(t) = 20 V u(t) where u(t) is the unit step function. The component values are: Rl = 22 kD, R2 = 3.3 kD, R3 = 12 kD, R4 = 3 kn, R5 = 18 kD, and C = 0.15 J..LF. VG(r) ~ E[I-e-¥]UI1:) 5 R1 i. (;t)= .§.e.~ p.l*J.5 c. R 1"~ Rc e( t) R4 R2 c i3( t) R 3 RS I "it. r::: 3+ \~1\(3.3+12) 22.. + 1~1I (5,3+l2) ILII [3~5 + zzl) I~l /2. .::: '-{,;z.q V ~.3+L2.. = q,21~ I=RC::.1,3q~ E-, 2. 0 v c.~('2. )::; 3, 2 7 V ic. [ 2.) ::: 0, I I NY1. A- VJ = V,,- T tc. (1'1 = 3, b \) -:') -<-;; =: v? ::: 0,3 "",,14 RJ i3 (t) = 3 0 0 ~ 'A := 0, 3 I\N1 A I { b c; i;;A A

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, 2. The excitation, i(t), in the circuit shown below is i(t) = 10 mAcos(wt). Determine the resonant frequency, quality factor, and half power bandwidth for the voltage v(t). The component values are: Rl = R2 ~ R3 = R4 = 2 Hz, L = 3'mH, and C = 0.33jLF. The frequencies must be expressed in Hertz. R2 i(t) R3 R4 L f C v(t) L R ::; 2..\\<>-\\(2.+2.) - o~ ~ k SL I ...0 () ;;: , 2. iT V t- c. - - S" ~ t> b A "J ~ 1 Resonant Frequency (Hertz) = 5 . 0 b ~ \~ Z1 1 Quality Factor= ~,3q 1 Half Power Bandwidth (Hertz) = 60S 1-1 ~ 1~ 2 Q;:: Wo ::: 23, 9 G D= g. e;.. = b 0 3 I-I Q
, 3. Determine the complex transfer function T(s) for the circuit shown below. Specify it as a function of the complex frequeI?-cy, s, and the symbols for the resistors and capacitor simplified to a ratio of polynomials in s. Plot the magnitude of the 'complex transfer function T(jw) in decibels as a function of the frequency f of the source as f varies from 1 Hz to 1 MHz. The component values are

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