{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Test2SolnFall08

# Test2SolnFall08 - A—AE 301 exam two fall 2008 Please put...

This preview shows pages 1–11. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A—AE 301 exam two, fall 2008. Please put your best answer clearly written on the exam in a box. Each problem is worth 10 points, except Problems 4 and 9 are worth 15 points. . Two page of notes and no calculators. NAME: 39 \ ucln‘o m3 Problem 1. Find the inverse Laplace transform for the function 23434 QS-‘rél G 2— = . (8) 83+232+25 SLQS'VQZ +0 905): : i_+ E3+C S §-\'\\2"‘r\ :> 62A = 4} 1%: Q, =7 Arﬁio % B2“ 2.A+Q:o2 crusg G83: 3; «Zea-r2 _ i -62, Lydw 3 3+8 32-“ 3 Q.“ ‘2“ ' Problem 2. Solve the following differential equation where the initial conditions are all zero ﬁmy=2 90?): fee) ._ 3mg) = 2 S 8583:; :j:_+E +c 2- .- m AC3+ 0C3~0 + \$3 SCsa—D- + CSCS'H)‘ : .2 Problem 3. Solve the differential equation [::H;:H::1- g: subject to the initial condition 331(0) = —1 and :52 (—0) — 1. <2, 3+2»- , —\: S 4r 0?. \$103) 2 Ex»: 3 - _ 3 + Ly L 3 l >: ODS QT 313:1 ”I 92 1: m‘t’ 5:: csa 3 v at +5“ 673*: 35“ C @355 : cos 2::- + ﬁrm if oZSian- X * Emma-k 00350:“ Ema-r 1 ‘t kit ~—i KKK) 1: eﬁxCO) :: € ‘7 ‘ l :7 IxL-i') : 33h Qj: -— («OS alt— 2“. 3C2— CV3 _. COS «2'5 Problem 4. Compute the transfer function for the following state MW “91“] space system |—--| a. a. [\D H |—...._........_i || 1 0 LE 0 -5 _ ”Mgr—1 2 E (Sir/5c} ‘2 3 “4 I y:[23 53—1—3115, 1 3141 D 2 4a) The transfer function is C (S. Anal) Y“) CC _ “ :D - \ \3 {if} G — SL400 E ’c" ha 33 (3) 17(3) /W §+2\{ \ ;:‘(_‘]‘> n «2 3 '\‘ 3 _ 3+ 2' + 3 ,§+2_ 3 iffy,“ 4b) The impulse response g(t) for this system is given by 5qu (@835 Problem 5. Find the transfer function for the state space system 0 1 0 0 0 -. 0 0 1 0 0 a: 2 56+ u 0 O 0 1 0 —4 —3 —2 —1 1 y : [6 7 8 9]33 . W Y(S):G(S): Q -‘r :fS‘T 832+ 33.3 X 4+33+23€+sas \ ww— www.mhhwn See (Seq, 93\$ _ﬂm"mmw ' W Figure Problem 7 Problem 7. Find the transfer function with the input is and output voltage y for the circuit given in the Figure for Problem 7 where Z1 is a resistor R m 1 and an inductor L = 1 in parallel, while Z2 is simply a conductor 0 : l. am "+[:\ \ S 3 lATIr-jnj g\ 2: \+3 ”:— 3+\ -—"l\*“"' 2.1,:- is?" gas ._ 2 L 5...— ?3 23 ré ‘3 Av?“ 309:- e- W 15 assz‘igz 222.. US) ‘1 Z7: - bob» u 53 F3 ‘/5 l 8 ‘3 Jr 35“ l+ 3:"? Problem 8. Design a circuit in Simulink using integrators, summers and gains for the transfer function 4s+1 02g+ y G 2M. __ .2 (S) 282+4s+5 S‘Jﬁajﬁ» SVGCL Reapkick'ﬁnon -_ Problem 9. 9a) Design a circuit using operational ampliﬁers for the transfer func— tion 4b) Find the impedance Z for a resistor R, two capacitors C and an inductor L in parallel. K, Z(3) = W l QLCSZ’ —\~ LS—I— R RLe + (U n U‘ + l l 1 QLCs‘ZJ: iv; Ha. Laplace transform pairs 11 ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 11

Test2SolnFall08 - A—AE 301 exam two fall 2008 Please put...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online