Question

ON Vs = 5 V R1 = 2702 C2 = 990 F R3 = 99022 L4 - 1100 H R5 = 33022 5 C2Vc (a) [5] Obtain V.0") and i(0) (b) [10] Obtain dv.(0*)/dt and dir(0*)/dt (c) [10] Is the transient response overdamped, critically damped, or under-damped? Show your work. (d) [15] Solve for the transient responses, il(t) and V.(t) fort20.

Answer 1

ها را در ماه هم در حرم A Ri N t20 s Lt - Immo Given, ' Us=sv, 2, 2 aton, C2 = 990 ut , &z=9901 L4 = 2200 un, Rs 2 330n. → At t <0, sa close , c open & L > Short atou IL (8-) goou . I_C0-) sv (0 ) Lacoa) 33on -- Inco-)> 12*+996 +380) *3.14 || & V. (0-) a of Write KVL in mesb (1) -5+2 70 ILC6") +1,Co-)co Ivalo). 5-270 x 3.14 x 7o? 24.151

2. I/10-)23:14 mt. & Te (6-) = 4.15V. <a3 At sa ts07, 5open, since, Inductor does not allon sudden charpe in cusent & capacitor does not allon Sudden change in voltage : - VEC0-22 Vcl0+) a 4.75V & I_10-) 2 [_(0+) - 3.14 mA. (b) At tror, soopen, co short, to open. atou gourman 77 Ovacy s e Vlor IL V Iclot) d -H 3 on Illo) a. I c (0+)2 - Ilfo) 2 -3:14 mnt. e dle (07) -3.14 out at to allot) dt -3.14 mt gorie 2 -3.17. drelot -3.17 W/ see] dt

Now, Write KVL in the Loop. .9902160)+330 IL(0)-VE (0) 0+1=0 a's (0+) 2 Ve (0)-I(80) / 330 +9907 ? 4.15- 4:148 ; 12(0+)2 0.0052 v < d Izlot) - 0.0052 v dt . 0.0050 = looxloo - 4.72 d I (06) - dt dîd(0+) -- at A.72 v/see (@> for tao, Palle Laplace Transform. rt 9901 Y I (S) C. 4.15 LS I rs) Tas T LI(0) L Ilo) 33on .Iez esdreces tis [69) cfva-vites] ila Vict) -CSU Vrlog

. Ic(s)-SCVC($)-CUCO) .. VE . Jelle) + CVcom Sonicarly, VP LOLIL_LITVIDE AL/IL-1.6077 :: V_(5)2 LIL(S)-LI(0 :: LIV!)? V_60) + Ie(0) I dt Now, Taking kul, I262 [990+230 +2sted]260-evicesso - IL 6)? (L 12 (0) + CVCO)) CS LC252+132065+! .IL () 2 (LIM) + C160)) { 752+13201405 + ter) 20.1. - Woer za >> Women 26wn = 1320 .: T62 13.20 1320. 1. Jose 1320 1320

16266 2660/990 162626:13 >A & I, system is overdomped, dy Tow I, (t) = £\[Idrs)] 1100x106 3154xid] + 4,1087o]s 2013 (84+1.2 X10*s + 9:/8x1067 (3.14x1ő?+ 3.43).s ILI [ 5² +1.2 X100 s + 918x105] IL (6)= £ [[ ]] Now, Vc (t) = £ [verse] ars) + 1320 I_(s) + Ls Iers ) - 3459x1os. virs )? (1320+ 11ooxtos) Is-seta