Question

Do not worry about the tree part at the end of the question.

2. Find a Thevenin equivalent for the circuit shown below. Vg Ri L mm TA с sio MW Rz ZL You are given: R1 = 222; R2 = 11; L = 0.5H; C = 1F; vo(t) = 10 cos 2t and ig(t) = 2 sin 2t. (Note: Your tree should include resistor Ry for both Vth and Ztn).

Answer 1

- locosat 220.54 som lay ig . RI =ar SID R2 XL = (0.5x di = tajur given circuit is vo iga 2sthaft 2100/90-26) ig = -263(26-2) www -22-90 oj -(0.53) axl ig اما - =lf =asinat alif=2 given w=2 = Xc= - أكيا th - Voltage actuss za loopy Vga lolo M R2 so Lejl) sia {R2=12 than t t B loop2 100p3 -21-90 0:5 f Loop I in=-22-90 A for loop2 :- - 21.12 - 14] - 5["12-14]+(0-55) (-21-90) (2490) (0.55) [712 +7 I4 = 1 -2 Iztaly - =0 for loop3 :- J (1) [I3 - I w] ag 1 (Ig) + 5 [f2-Iy] 5 I2 + I3 [-1-j] + Iy [-5+;] =0 > fus loopy :- -100 - i tya Iz) - 2014-12] =0 Ea-g] Iy to Izt jI 321010

we El1-0-5-5511 [-11.0 I 22 a Asia and porn Apply IV voltage loop3 ab terminal After solving 0,0, 742-11+(10.2857) 0 - 5.5511 x 10 xio Vbi] I3= With = [XR2 S-85l|xlovdi] Rih in for this de active all Independent sourcy. I IH 15 uw =rana IV I IV lvzin I corsi dloop Sousce acho SS Apply KUL for four loups for loop/ - -a[If Iy] - 5[I, ~I] +0.513,20 al - 23, tатч 40-55) I1=0 [-7to.si] I t7 for 10022:- -} [I? - Ig] - [22-Iz] +5[I, I] 581761-f] Iz +13 + [-5 +jJT420-2 for loop? :- -I = 13-In- -IV-1 [33-13] 20 for loopy. -15 [fy-Iz] -2[fy-I] = E2-i] Iy, tl2 tj I2 =0 Aftedsolue 0, 0, we get -5. Elxroty I=-I3=1.02077 (0.4628i bezana Ran= h / 2 = 0.892448 224-369 Iy Ü s Isid sor 20 $0.8924 Q 2th 24:3669 vintalo