Question

Problem 3.61 - Enhanced - with Hints and Feedback 8 of 9 M Review Constants Consider the circuit shown in (Figure 1). Suppose that Ry = 142 Part A Simplify the circuit in (Figure 1) by using a Y-to-A transformation involving resistors R2 R3, and R, as shown in (Figure 2). Determine the resistances of the equivalent A Express your answers in ohms to three significant figures separated by commas. View Available Hint(s) Η ΑΣφ ut vec ? 2 R RRE "R.RO Submit Part B Complete previous part(s) Part Simplify the initial circuit shown in (Figure 1) by using a A-to-Y transformation involving resistors R3 R4, and Rs as shown in (Figure 3). Determine the resistances of the equivalent Y. Express your answers in ohms to three significant figures separated by commas. View Available Hint(s) IVO AXO vec ? Ry, Ry, Ry3 = Ryi Ry2 Submit Part D Complete previous part(s) Figure < 1 of 3 > Part E Give two additional A-to-Yor Y-to-A transformations that could be used to find Rgb 2012 w a Check all that apply. R2 View Available Hints) R100 602 R4 - RG - R2 R RS OR-R2 -R4 R43300 18 OR -R2 -R3 9 Ω b. R1 - R3-R4

Answer 1

Solution 2on muu R2 lon &R, чл R3602 30.13 Ru mu 182 qn RS 6 Conversion from Y- a Rm b a Rx "Ry B Rn Re Rz c C Ra Rz t Ry Rz + hory Rm Rx + Ry t 1 Rx Ry Rz R2 Ryt Rn Ry.R2 R2 t ReRyt Rx R2 + RyR2 Rx Rx Rz RaRy + RzRy + RxR2 Ry Re Rx t R2 + al Ry

Conversion from D-Y a a Re Rre mm b Rn b C С. R2 RkoRy Rm = Ry. Rz Rx+ Ryt R2 Ri Ret RytR2 Rn = Rx- Rz Rx+ Ryt Rz Y-A transformation using R2, R3, RS ai circuitory connecting There star is а R21 R3, Rs 1 R2 Sur - R2=142 60 Ör Gon 2 R3 RS 2 R3 180 3 Rs 180 3 - Belta conversion will be Riz R13 it's my 2 R23

60x14 л R12 60+ 14t 81 R12 120. 6662 81&hl v Rio 14+ 18+ 36.2 R13 r (1 60x18 n R23 +81 to 9 14 R23 - 155.142 R figure -a 2on a r lon ŞR 120.666 Ra VZ-28=90 2. 155.1421 Ry Зол Re ub b un - is Ra connected blo 2 Ra R12 - 120.666 m Ro is connected bw 1 - 3 Rb a Riza V8.98

Re is Connected btw 2-3 Rea R23 155.142 equivalent Resistances of A are Raz 120.6661 Rb = 36.2 Re = 155-142 n Abs- Conversion D-Y R2- Ry - R5 using Gon _ A B A B R3 RS RAN "RBN Ru 3on Br REN C by using formula of B-Y fox 30 . RAN R3-Ry R3t Ry TRS ܢ 16. 666.1 607 30+ 18 60x18 RBN R3. R5 R3t R4 +R5 lon 60+ 30+ 18 Ry. R5 30x 18 REN n IN R3t RytRS 60t 30t 18

figure - 3 2on R2214 lan B 16.6661 Ry2 tlon Rya -su с mu 91 Ry, i Connected AN blo Ry RAN = 16: 666 Ria is connected blw B-N Ry2 RON = lon Rys is Connected کی )ط C-N Rya a Rena 50 are Resistances of equiolent Y Ry 16.66652 Ano RY2 lon Ryza 50

110) in figure- circuitory - involving R., Rz, R3 is There a possible conversion is Y A involving Ri, Re, Rs. Ri, R3, Ry There circuitory involving → is a Y is possible possible involving A Y-D Conversion Ri, R3 R4 transformations Two additional D-Y or Yo to find are Rab that could be used ij Ri- R2- Ro -) option (6, d) Aus- E R1 - R3- Ry it In this problem resultant resistance Rab olve bul easily by resistances. is not asked to calculate blo arb that's why can be solved or figure figure 3 ofter knowing í didn't figure 2