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ELE203-MT2(2008-9)

# ELE203-MT2(2008-9) - HACETTEPE UNIVERSITY DEPARTMENT OF...

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Unformatted text preview: HACETTEPE UNIVERSITY DEPARTMENT OF ELECTRICAL & ELECTRONICS ENGINEERING ELE 203 CIRCUIT THEORY - I MIDTERMJI. 18 December 2008 _— 1. Show all of your steps in DETAIL and present your work CLEARLY. 2. Write your name on all the papers you turn in. 3. Use both sides of the answer sheets. Q.2. Consider the circuit depicted in Fig. 2. The switch has been closed for a long time. At t=0 the switch opens. Find and sketch iL( t) for t 2 0. 2 fl. Fig.2 Q3. At the time the switch is closed in the circuit in Fig. 3, the voltage across the parallel capacitors is 50V and the voltage on the 25 “F capacitor is 40V. a) Find the expressions for vc( I ), v61 ( t ), v52 ( t) and id ( t ) for t 2 0. b) What is the initial energy stored in the capacitors? c) Calculate the ﬁnal energy stored in the capacitors? (1) Comment on the trapped energy in the ideal capacitors. -Vc. + 5V 400.0. 0.27 : Fig.3 Q4. For the circuit given in Fig. 4, a) Determine the differential equation with respect to vc( t) if the switch is closed at t = 0. b) Find the expression for vc ( t), t2 0, when vcz( 0+ ) = 2V and iL( 0+ ) = 3A. c) Find v0( 1 ) for t 2 O by using the direct solution. «-5 ‘X (1'3” 9' l~x 41L 1}, 3 + 5\/ Lo “i QC: {Okﬂ Only 2 .2 [L3 0 2);? \ox/ ., Lou). _ , :1. .- 500 5 A 12c. .. vans-E 0&7 «my saggy (we) Maﬁa v 5 4+ 1S 5“ v P _. oo , \9¢\+ -t 7 1 -—»~o \ *3 0+ j/EW as“: :7 15 to a Our mm; + 0’1 «f- ;Ji— K992, FF 0 I I __.o (SOO‘k 02?)»: l \28 ,S2\/ “,g.’ l ’t 3 <0ko + +59.» (19%: ’ A” \o e cur 60 £46 0 , H? fife ‘ ”300+ _ . ”400+ M9 14Lzogyﬂ d®:z_ == “LIQI 6 b) \UWMO) , 3,10 KyCXho) + \ Z( LWQ 750): 3 ’3 :02..\O +iQ€ko :i,L1§»\O c3 W): Mmymsg + Jéapcm 52.1 HH’ZS \O-5 J, 0m “Jabs = i (0'2, \55’) L532 : 2~§-[O (observeéx “haw: (ggtsfbee'nB—g Wé>i3 “mobs :3 A— rL‘H M3— ...
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ELE203-MT2(2008-9) - HACETTEPE UNIVERSITY DEPARTMENT OF...

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