If a Delta network has resistors ( R_AB, R_BC, R_CA ) (between nodes A, B, C), the equivalent Star resistances are:
R1=R12×R31R12+R23+R31cap R sub 1 equals the fraction with numerator cap R sub 12 cross cap R sub 31 and denominator cap R sub 12 plus cap R sub 23 plus cap R sub 31 end-fraction star delta transformation problems and solutions pdf
If you’d like, I can with solutions, or provide the LaTeX/Markdown source code to help you create a polished PDF. Just let me know how detailed you need it. If a Delta network has resistors ( R_AB,
Equating resistances between corresponding terminals in the two networks (e.g., resistance between A and B in star = (R_A + R_B), in delta = (R_AB \parallel (R_BC + R_CA))). Solving the simultaneous equations yields the above formulas. Solving the simultaneous equations yields the above formulas
Use formula: [ R_AB = R_A + R_B + \fracR_A R_BR_C = 10 + 20 + \frac10 \times 2030 ] [ R_AB = 30 + \frac20030 = 30 + 6.667 = 36.667\Omega ] Similarly, R_BC and R_CA can be found.
Given a delta network with resistors ( R_AB, R_BC, R_CA ) (each named after the terminals they connect), the equivalent star resistors ( R_A, R_B, R_C ) (connected to terminals A, B, C respectively) are: