Question

Figure P2.50 P2.51. Given R1 = 41, R2 = 51, R3 = 8.1, R4 10 , R5 = 212, and I, = 2 A, solve for the node voltages shown in Figure P2.51. V3 bm R W is anivloe . TO 2, ти BALI" 10 sot lodo R2 R3 Inolevis odno OTON R4> worla iliow Dis 01 Conse Rg INTOTTUDI 1990 TH].2011 vloz. opinnost og 150 sch supo si sono di sgalov ant. visitorstaizona Figure P2.51 islava 2008 53 P2.52. Determine the value of iſ in Figure P2.52 using node voltages to solve the circuit. Select the location of the reference node to minimize

Answer 1

2.50) Given circuit is, RI MM V3 V2 52 M. R2 w R₃ Ry } lor 75124 arks we need to find node voltages Apply Kce at node-v, we eget v-v3 +vi-v2 tv-o 10. 5 =0 s(v-43) +4(0,-V2) +2V, *** 20 54, 583 +4%,- 4 V2 + 24 = 0 > 110V, -40% -543=0->0 Apply Kel at node-42, we get V2v V₂ - Vz 8. 230 + V₂-4 '+ V2 V3 =2 8. 8(V2_W)+5(°2-V3) = 2 40 812-84, +Sug 5%= 80 >-84, +13V2 - 543= 80 >

V3-12 + V3 = 0 + 2 Apply kee at node - V3, we get Vz-v u 21 V3") + Vz-V q + 4 V3 =0 8 (3 = -24, +2V z trz - vp + 483=0 = -2v, Vq +7V3=0 Solve , ② & ③ we get - node voltages v=51562v v2 = 10.4687 v V3=2.96875