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10_1_midterm2_sol

10_1_midterm2_sol - UCLA Department of Electrical...

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Unformatted text preview: UCLA Department of Electrical Engineering EE1O Midterm 2 Spring 2011 lnstructor: Prof. Gupta May 18th, 2011 1. Exam is closed book. You are allowed one 8 1A; x 11” double-sided cheatsheet 2. Calculators are allowed. 3. Cross out everything that you don’t want me to see. Points will be deducted for everything wrong! 4. Do NOT use Laplace Transforms to solve any problems. Name: 1 Student lD: 5 C5 [Wt/“tom Student on Left: Student on Right: Student in Front: Problem l Maximum l Your Score “1 Score 1 1O ’ 2 ” 6 W" W 3 t“ 8 r— , WWMZMWTWMS wwwww WWWWWWWWWWW “w! “’“féigi ““““““ m4 ‘‘‘‘‘‘‘‘‘‘‘‘‘‘ 35 iiiiiiii Mm “ m mm mm} Q1. (10 points) The switch in the circuit below has been in position A for long time. It is switched to position B at t=0 and back to position A at t=1 ms. Find R1 and R2 such that vc(1ms) = 8V and vc(2ms) = 1V. vi» : r in a ' eimfi M Kg «2,? R1 ; Eggenneaw 2.2g £153 "2» E e "as— LBZ * q "5" 1w Q2. (6 points) A long time after the connections have been made, find out the value 0va if there is a Capacitor is present between x and y. 2mg V. Wig: Q3= (8 points) For the circuit of Fig. below, the value of the inductance is 1250 mH. Determine v(t) if it is known that the capacitor initially stores 390 J of energy and the inductor initially stores zero energy. l CV1: «L L" ‘ “a 360.0ng _ 3010 J) Vdoq zl/Cwfl: 10% $1104 a zCiio’r) % O From KCL) )5 CW 4; l, ,r 140.053; [JESOVJtzO 37 £)+o.os°wco)+,l— 3.. «it “"5 U $002+) “Elam :23 Q at“) v dl) (if) lbdt l—lév o gl+iog+i620 6:13,: 61)“? vm: kt 8di+ 218"“ V 2 - W m can \4‘ +1“ 3.04m 2:) :3?qu aiééy $160+) rm WK :2 mlkt”gk13m1®8~lgfi kir~3§2f§gifl flZH‘é Q4. (6 points) You found a rather strange piece of circuitry which three exposed terminals (x,y,z) and it has exactly one resistor, one inductor, and one capacitor, but you don’t know how they are connected'The resistances (measured by applying a 1 V DC source) between theterminals of the mystery circuit are as follows: I , _ x - y: infinity, y — z: infinity, 2 - x: 10 Draw all possible connections of the three elements with x, y, 2 clearly labeled which would satisfy above. No points given without explanations. SWe the (assumes are Measured by apply‘bb a W DC Swine ) the mama/Vices O‘QQCQFXC‘CCOY‘ and cm ‘ci/tclucCoY‘ are inl‘mm/ and 29m, msFecc‘uély. 1' The capable/r- has, 10 be placeé between “(b-y and W2, but Mot beth Z’Q’. CL. The Y‘es‘cS'Cw' has to be plated befou€em 35%. CW these {boo cmd‘ctéms, we cam have. “tch possible: Comp 805s mg ; WflWwJ‘ EM QC 2 y szww"mwi§r~w“% 9r 1% 7 ...
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