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Exam3F04solutions

# Exam3F04solutions - ECE 232 fall 2004 ‘ Third Examination...

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Unformatted text preview: ECE 232 fall 2004 ‘ Third Examination Dr. Glaser November 29, 2004 Honor Code Agreement “On my honor, I pledge that I have not violated the provisions of the NJIT Student Honor Code” Signed: Date: Name: IDnumber (5 points for each of the following six values) Problem 1: The driving—point impedance of a parallel RLC circuit is 1 kg at its resonant frequency (00 . The half-power frequencies are a), = 979.529 rad/sec (a)1 z€80 rad/sec) 80 and (02 =1020.899 rad/sec (02 z1021 rad/sec) . What is the: a) bandwidth b) Qo c) resonant ﬁ'equency 00 d) element values for R, L and C 0.} Y’awwrﬁl = ”a: 0‘ —. \ou—qso = m will“. Tc) “Mohawﬁ \$6: “1 we 1 faith}; = IOOO Mlle;- 0v “ANS P‘s-a“ Time, \aumaumdidn VS mwwlmvl‘lkan h)‘ a! £49.} “’0 7,“ Eilwﬁ‘J-ax g \il‘DL‘ 4430) 2 “300.5 real/sop \ Q???“ ._’) L: : C -(s =Ll-lmH Problem 2: Consider the following RL circuit. L=1 a) (5 points) Find H (s) 9m(s)/ Vm (s). b) (5 points) Find the impulse response h(t) of this circuit. c) (20 points) Evaluate the convolution integral to ﬁnd the output voitagev m (t) when the input is v", (r)— _ 5 {u(t) — u(t — 4)}. d) (10 points) Check your answer using the Laplace transform Note: Use h(t) = 6e‘2’u(t) as the impulse response if you are unable to do parts a and b. \Iod 9, 0‘) Rb)“ V." 2 5+1. —\ " -33: M Ht): 1‘, Ms): LL g‘ﬁ; —- me At), Ci We“. the \$5M“ d 4A.: 1315“ iii u wanes mix uskﬁ- 5:“: to em .80 £40 a. . .v- a- H \-\L6 = —— ' xs 4m): 5 1; x—ef‘“ ll ll Yb '— HMXB = “9""— “‘9'" ) “New? . . L . s um 1 '3 + —7. H H A: ”a"; ‘6 as? "g i _\ ill Y%%%'EJ (f)=£‘(ts =S\-€.a uL-k) ll ' h " All n ‘3 “Si-ton 5 H ‘ - Lib-£1. Mid +55 \—€.‘°‘ _ mot—q) H ’- 0 ’cAo .—. c3 heft t . u g s °“ ”" ll . = Ber”: 65—» {>LL (30 points) Problem 3: In the following circuit i(0‘) = 0 and v(t) = (4 + 2.5:)u(t) . 3H 29 a i(t) + 5H Wt) 39 b a) Draw the s—domain equivalent circuit explicitly showing the initial condition sources. b) Find the transformed response Vab(s). c) Find vabﬁ). 3.5 340120 a. 7 1&3) 55 fr VLS) hgnlo' ‘10 + 3 q, Ss+3 M \leF 85% \IL-s) \le53-£ld+‘1~%)wk’cl ': 9—4.. ELLE. :‘ “464-9"; ,' 5 5” s1- , Esq-3 . 454M145 _ 554.3 Vabl‘)‘ 354-5 5“ “I is” .5 2:; LE 5 J' 5" ...
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Exam3F04solutions - ECE 232 fall 2004 ‘ Third Examination...

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