Question

2. CIRCUIT THEOREMS AND SECTION 8-8 Delta-to-Wyo (A-to-Y) and Wye-to-Delta (Y-to-4) Conversions 30. In Figure 8-86, convert cach delta network to a wye network. ΤΟ ΜΩ w Re Ry-270 Ry=100 1.5 M2 56 Re - 2.20 (b) FIGURE 8-86 31. In Figure 8-87, convert each wye network to a delta network. R FIGURE 8-87 m 471 120 331 w R IR 68 w w (h *32. Find all currents in the circuit of Figure 8 88 FIGURE 8-88 w R w R 10 IMV HO . w 2210 R 1
can someone help and show me the steps that need to be taken to solve these three problems please?

Answer 1

30 Given Loms Ro IRA 5bokun Ryz Razlar Rc= 2.70 4.5 ms Rc=9.95 (b) We know that RA Ra MX C-CRB RE RARB RA+RB+ Rc Ro. RARE RA+RB+ Rc Riz Rc of RA+RB+ Rc Using this (a) Part te in MR Value (sGoka 56) mr my Ri •5681 RE • 183 Mra 183 kr. 4+ 1.5+ • 56 R R2 = 1x1.5 4+ 4.5+ 56 =.49019 - 490.19 kn ره) 1.5x.56 1+ 4.5+ 56 2745 = 274.5kn

Convert to mye Ri= 1x2.7 It 2.7+2.2 .39 Ri Big R2 = 9. 2x] 1+2.779.2 .3188r WWW Rq Rx 2.9x2.2 6.9 (37 Given R = 125 Rg=285 - 4.aka { f = 18u Rq = 3.3 kn R = d.8kr we know that Wege to Delta Conversion. RA RB Ro Rq RA RA PQ+ Rg Rg+ Rq RAP Rg + Role + P3 R Rq RB (Ri Rot Rollz + R3 R.) R3 Ri R2 + R2 R2 + R3 R R Ro 1'

Thom 81(0) RA 9 = 12x22 + 2 18 + 18x 19 Ro = 48.672 RB 18 Roze 12x22 +29818 + 18/12 22. = 39.182 735 Rc = 12x 29 +22x18 +18X19 12 2166) Rc RB RA= 648 x 4.7+ 4.7x3.3 +3.3x6.8 = 14.87 ks 4.7 RA RB = 6.80 4.7+ 4-7x3.3 + 3.3x6.8 6.8 = 18.20kn Re = 6.8x4.7*4.7x3.3 +33x68 3.3 21.185kn

32 A I I I2 39kr 136V Elokn 3 C 22 KS 12 kn giks Here we will use nodal analysis on node B of G Assuming Node B of Node 6 Voltage V of Vo respectively. Nodel al Nude B NB-O + VB-ve 22 VB - 136 lo 255 VB + 30 V8 - 30Vc +66V3 - 66x136 - 151V2 - 30ve = 8976 Nodel at Node C Vc. Ve-VB + VC-136 god + - 0 39 muts blying by ( 39 x 22x8.01 7807.0) 858 VC + 354.9 Vc - 354.9 V8 + 200. QVc-2009X 36=0 1413.1 Vc 354.9Vg = 97.227.9

Equation & 151 VB - 30V = 8976 - 354.9V3 +441-3Vc = 27227.2 1413.1 Ve on solving Equation ① of ① we will cresce get Vo = 66.59 v Vc = 35.99 V we know that Ament = Voltage coob Resistanie from Circuit I: I, + Iz = {(Naya) - Marta) 7 na Where VA= 136 V , VB= 66.59 V of Ve= 35.99 Thom 136 - 66.59 to 136 - 35.99 39 69.4 10 + 400.01 39 6.941 + 2.56435 = 9.505 I 9.51 mA farmony