Question

Use Thevenin law to determine the power in the impedance that connect between A to B I=20L-90° A ZAB=10L 60° ohm All the units are in (12) היעזר במשפט תבנין לחישוב הספק בעכבה Z = 10Z60 ° 2 המחוברת בין הדקים AB של הרשת 11.2 .22-2090) D’nn 52. I= 202-90° A naan 2j 310 5 1 (1 OA w 2 OB

Answer 1

Giren circuit, 33 ja 2 ve 102 202-9 52 wil A 3 2 2 3 gaz is Thevenin's Equivalent docuit A 2th Wh B. make all the Independent eurrent sourus are open iruited and Independent rouage sourus short circuited. are All three are in series. 3 ja 2) 52 102 k 3jar Eth

55 OA 1Tb . (12+2j? With 5+ gall (12+28) 25. (12+28) 2j+12+2j th 5+ = 5+ 0.3+1.9j sa KT) = (5.3.+1.9 109j) with (The venih voltage): I, gar DA My A + 个 20 L-a 122 5. ² jz NAB= With 8 because os ženi resistor i euorent through se there closed path. น ชา0 let i is the eurrent through through gah. Apply current Division

201-90 * 12 EJ 17 12+ 32 +j2 20 L-90 x 12 11 12 +ju. 4- (-6-18j) VAB Vogth fr. (2j2 By ohn's law, ic, V=28 Uth = 2;.(-6-18;) Rectangular form. Ngh (36-12j ) nous - Vth 12.550 L-18. uu vous. ~ phasor form :. The renin's Equivalent fruit : A th-(5.3 +1-4) TAB= 10260 2 4h = 125102-18.44 I B ZABF 5+ 5v5 10 [ Los (60) +j GPm160°)] ht 2 y the eurrent flowing through the Ciruit. Apply KvL in the loop ie,

With + 1, 7th + I. LABEO With 1 = 36-123 5.3 +1.99 + +5+583 Robt ZAB I= 36-12 10.3 +10.56%. I 1.12163 - 2.3159 Amps. 1 2.5724 L-64.149 . Ts P= 1² x R P= (2.57243 x 5 57 5voj = R + jxL PE 33. 086 Watts