Question

H.W: موز - jr کام -xt ur j owcom Load y§ 2.R 12 Lov o tut § 3r Find RL the current drawn in to the load In this cet ( give the Polar representation for this current. In is the cat grein suerdauped belbow tind over, under if the cat. or critically - damped TA NIE) live o R 1 3 / List = 5A R = 132 L = 1.5H c = 200 mt find for an equation rit)

Answer 1

VOS ulu 33 1.553 I 0,25 e te Applying nodal at vous Vous + VOU) 155 3 It loss, olu L 0.28) Vos + 10 VOUS 2 55 +0.25 Voss inlu 55 vos + lovos +0.2 (15) s vous vas) - - 158 ola (3 s +55 + 10) Vos = 75 25 VOUS 35+55 flo Siiz = -5€ V 25 - 4(3) Clo) 203) S1,2 = -0.833 + 1.624) Roots are complen conjugate the system & Ender damped Voce = 365+ kist 3) 25 VOUS

Slim +0.333 = + 1.624j $1,2 +0.837) = - 2.6393 1,2 +0.833) + (1.6 25 : VON = (+0.833) +chiozu? 25 1.624 1.624 Les+0.893)+ch.627 15.394 - 1.624 - (est0.833;? +4.6247) By invese laplace thans fam vaxts = 15. 394 ē°38st sin (1.624t) volts formula Lleit sobot) = sta?+ 5 please rate the solution for your valuable feed back and comment if you have any doubts, regarding the problem. Thank you.

A curuit i in om 12 lov * 31 fozja 3ja Applying nodal analysis At node od =0 VI - 1220 V + V-12 § 3-2) -] 3-2) cv - (2 la) + 3vị - (33) j (3-2)) V-02 . 566->) tj -7+) y + (3-3) U2 =C120) (3-9) ju, +(3-3) v2 = 36 – 2uj > 0 At node ☺ U2-v + U2 + V2 +6lo. 36 toj - co -6CV2-VI) +212 +j V2 +620) -6U2tovi + W2 + jV2 + 6.900 + Gut'j) V2 = -6290 > 60 from v = 36-24) -(3-2jj U2 vị --R3 - Luj) - (3-5) vì u = - j 36-24 + 3) +2jV2

pulting vi iso 6(-36-24 + (35 +2)2) + futj) v2 = -6490. (12 +18j – u t3) 12 ..-6/90 + 144 +216; 8 ha) v2 144 +210 v2 = 144+ 2103 8+19j V2 - 12. 0988 -2.4847) v2 = 12.3513 Lil.6or Volts currew through the load EL= V2 + 6LO 6 toj Il = 12.0988 – 2.4849 j + 6 lo 18.0988 -2.484203 A It = IL = 18.2685 -7.81 A (polar form) Giin asuit is ot och 5A 13 } list 200m FT 0.27 lapluce domain writing the above circuit in will. Bero nitial conditions :