{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

2006ENS203_2006_Midterm_Sol

2006ENS203_2006_Midterm_Sol - Question 1(20 Points Consider...

Info icon This preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

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

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

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

View Full Document Right Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Question 1 (20 Points) Consider the circuit given in the following figure: In the above circuit, V1 = 10V, V2 = 9V, V3 =1V, R1 = 50, R2 = 100, R3 = 50, R4 = 50 a) Write mesh currents in the circuit above and solve for mesh currents. b) Determine the voltages across the resistors Vm, VR2, VR3, VR4. V1 ___ Q‘i,‘ +Vz+ R1(:i_—IL) \JZ‘t‘ R1 (I\FT2> 7'- 23,11 +\/3 ’i" '12, 10:5.11—r9 +io(1.~11) —> Fag-{$1.40}; E 9+ro(L—1J:5‘[email protected] (Sch/W ’H’m Quah‘wu: 2:goI,._2°IL [O 20]: 8:- 3 = i ‘01! +7.01; _> Tim/L VR135fl$2.SV g:—§+7DIL Vim: ion x (OS-0.65»; -15 v 11‘— 0'“ A i We —_ 5n 1 (0.53%: 12'; v Vfu‘t : Sin— 3‘ 0.63); : \/ Question 2 (20 Points) 3V] "ZVX =30 +Vx W2 ‘3er-‘0 > 3V1 $011414) =30 4N2 4024/1) =40 Lu :3; 2 equa+u‘ons 02 van knowns... Question 3 (20 Points) Consider the circuit given in the following figure: 81 +VC - \ 10V In the circuit above C = 1uF, R = 1KQ. The capacitor is initially discharged and both switches are open prior to t=0. At time t=0, the switch S1 is closed while switch 82 remains open. quaq‘lor U9 Cam noi‘ 051(1an 3) Determine the following: mffmignwgd +) O l. Vc(0-) and vc(o+) —/”’ ‘(O = ‘ (0 — ll. VR(O') and VR(O+)/—‘> VR(O_)=O EMA” VR(0+)= iOV m. |c(0-) and IC(0+) a I<(o')=0 Lie“ 2 %ziomA we» Ia<o+> —> lam—ho , :1 (0”):1omA b) Redraw the circuit after t>0 and solve the differential equation for Vc(t>0) and VR(t>0)i c What is the time constant of the circuit? ) d) At t=23ec switch S1 is opened and switch 82 is closed. Find VR(t>2). ) 9 Sketch )\/R(t) for all t. V<(+ - ~ L) + He + C) MC a 70 i V C + e: - .1 F: t ° R VaH-J ” 1M" ‘ ’3: ’imiec Van); A +Be MW “RC Vc(0)=O 5° (A+B=O "D Bz—A M A )OCLOMM A:10\/ \ r -'é/RC Vc(+): io—loe ~‘L/RC “41(4): 10v h Vcw : 10 6 WM [0" CD 4; Now a} 4:2 Sec 51.34614 51 75 919% and 52 :5 Clcxccl--, Chou” F5 ot+ 3+earjj J‘fa‘tg SIMLQ "c u‘; i msec anal 2 Lu 3‘; alwayf MflMT-fi‘j (“JV-Ha raped +° 'H’L‘ ,L‘w cons+q4+'_ Question 4 (20 Points) Consider the circuit given above: a) What is Vom at very high frequencies, ie., as u) a no ? (Explain why in one sentence.) b) What is Vout at very low frequencies, ie, as m —> 0 ’? (Explain why in one sentence) ' V0”! 0) Solve forthetransferfunctionH(ca)= V . i d) Draw the magnitude and the phase BODE plots indicating the important point such as break frequencies, amplitudes in dB and slopes, etc. in terms of R and C. (1’) high cachfllo; is Sker‘l... 31—)0V 2'4? 1‘“ V‘H/f = VI—V1 am fV|->\JM ’Vl—ao —D V°U+T~ Vin 1 C) New W m v1: Lava 1— + R — 143‘“ 3%, L} {ow -—) V2: R 1 Vi“ : Jugc Ul‘Vl R+':‘ 10““ (\9 Quesnou 4 ad. Question 5 (20 points) Consider the circuit given in the following figure: R1 1311(7) : 5cm<1or + 30”) C =10mF, L = 0.25H, and R1: R2 = R3 =1OQ, in circuit above: Find Norton equivalent of the circuit to the left of the inductor and the capacitor first. Then, a) Find the output voltage Vout(t). b) Find the inductor current. 0) Find the capacitor current. [Write the voltages and currents exactly in time domain notation, like Acos(wt + 0) ] (ML d) What is the resonance frequency, we of the circuit? loSL U V M --‘) :1 l Vin (057. 551 ml 5 g ‘L Vouf : 2 14306 / cm! 1_ 3 +1 + 1 #7 3J4}; _1 2:7- I—5 .J'Io J10 (j) (y) H) ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern