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EE411_Fall03_MidTerm_Version_C

# EE411_Fall03_MidTerm_Version_C - EE411 Mid Term Exam...

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Unformatted text preview: @ EE411, Mid- Term Exam, Thursday, October 16, 2003. Name 7 I EE ! Seven Equally- Weighted Problems. Show All Work On These Pages. One Page of otes Permitted. Problem 1. When the switch closes, the voltage across the 3052 resistor rises to 40V. Find the ‘ numerical value of x in ohms. +40_ - >3 100V 40:10013—35—233) 40(30+3)>100(30),1200+40g3000" ' 403:! #300 1 + , ' ISSO 4' é/‘wk ”DEL 30 164l|80=453u 3L: To . 55L 4"“;4 ' 3:11??? €451) Problem 2. Use the nodal method to write one equation and solve for the voltage at Node 1. 0.040? 5009 Nodel a 1209 \ 40V Check? E70213 ‘ QW 70,044? +0 0645' 40V 10V 4’04 e 0. 2!? (on) C “ V ' «4,0 1 ___I_ \j(:/D) [RD ‘F 200+ V500 J’pl : .L, L ., VI (12L; 200 + ELOD)’ IL!) é” 0'! Page lof4 EE411, Mid- Term Exam, Thursday, October 16, 2003. Name 7 I E; ? Seven Equally- Weighted Problems. Show All Work On These Pages. One Page f Notes Permitted Problem 3. Write mesh equations for meshes l and 2 1n the circuit shown. Eliminate I3 and V A from your equations, and then put your two equations in the matrix template below. The matrix must contain numbers only. Do not solve the equations. 40V @ ,404, 10(1'Iv1234,\$(1‘ .4194.» lo 5'0 @ {orZ + 3[I II33+IO(J:;I,) =0 Also/ I3 :0 9vA~ I 500%; 1:2,): §(I, 1:3) 9*" ”+0 @ 140+“): l0L2+3I '+0:VI,+4OI;+10= o “ ", Q9 (012+31flgl, +ISI2+ 1012 3/51, :0 \/ Problem 4. Find the Thevenin equivalent circuit for terminals a-b for the circuit shown. . 0 30:2 ,ggg s l. 2334 III/I _ VX :40 20 mu)" WZYV. 1%., [333,9 I :, 1333+001+A Page 2 of 4 i EE411, Mid-Term Exam, Thursday, October 16, 2003. Name K E! 3 Seven Equally-Weighted Problems. Show All Work On These Pages. One Pag of Notes Permitted. Problem 5. Coils l, 2, and 3 1n the circuit shown have mutual inductances M12, M13, and M23. Write ‘ the mesh equation for Mesh 2. Problem 6. The switch has been closed for a long time when suddenly it opens at t = 0. The graph of current i(t) for t Z 0 is given. Estimate the values of R1 and R2. - g. -6= " 2A LC WW Wmmm 7570 11+) Left/”L ) r:- L/K‘z. 1:6l ‘ , 31¢ xmz-I Mam):- 0,73“ 39kg: ¥ 1 ' “£120,015 V _ “ “ -.. , mm , 0,00an Bil RV” L/l‘: zoxm'k N. g 7 0 10 30 40 50 6O 7O 80 90 100 Time - m lcroseconds Page 3 of 4 . EE411, Mid- Term Exam, Thursday, October 16,2003. Name Kg! ’ Seven Equally-Weighted Problems. Show All Work On These Pages. One Page of Notes Permitted. Problem 7. The switch has been at positionx “x ” for a long time, and the IOuF capacitor is completely 4‘ 99 discharged. Suddenly, at t = 0, the switch moves to position y. ' 209 200 a. Develop an expression for i(t), t Z 0. b. Carefully sketch i(t), t > 0, showing , ' ‘ values of i(t) for t = It, 31:, and the 30V asymptote. 'V ' L c. What will be the ﬁnal voltage across - the lOuF capacitor? ' um um 344:; w . ' x K ”/0 FDR, "6’70, C ,2?sz w sea/es/ ca 63:5 ZHD 2 X/uF FOR-l; 0+10+.—ZO/5’ ,5 H M4 £1 :(Olaﬁw I (no): Page 4 of 4 ...
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